NEED HELP ASAP.
Nico's band is recording their first studio album at Minoru Studios. The studio's day
rate is $180 per day with a fee of $20 per hour for their sound engineers. The band
has $300 and they think they can earn up an additional $60 off merch sales.
What is the range of hours the band can record at the studio within their budget? Please put in interval notation.

Answers

Answer 1

The band has $300 + $60 = $360 to spend on recording the album.

what is equation?

An equation is a statement of equality between two expressions, usually involving one or more variables. It is written in the form of "expression1 = expression2" or sometimes "expression1 + expression2 = expression3" and so on. The goal is to find the value of the variable(s) that makes the equation true. Equations can be used to model real-world situations and can be used to make predictions and solve problems. There are different types of equations like linear equations, quadratic equations, polynomial equations, differential equations, etc. Each type has its own method of solving them and they can be solved using algebraic and/or numerical methods.

Let H be the number of hours recorded in the studio.

The total cost of recording in the studio for H hours is

$180 + $20H = $180 + $20H = $180 + $20H

The band can record for H hours if the cost is less than or equal to their budget, so we have:

$180 + $20H <= $360

Solving for H, we get:

$20H <= $360 - $180 = $180

$H <= 9

So, the range of hours the band can record at the studio within their budget is [0,9] in interval notation.

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Related Questions

Miss Ross’s class at Longhorn high school, took a science quiz, and did not do very well. The table shows the grades 18 students received on the quiz. Which of the following is not an accurate representation of these quiz grades.

Answers

The second graph with numbers till 50 is not the accurate representation of the quiz grades.. The solution is obtained by using the concept of frequency plot.

What is frequency plot?

A frequency plot is a graphic data analysis approach for condensing information about a variable's distribution. The response variable is split into intervals of the same size (or bins). For every bin, the response variable's frequency is determined.

The vertical axis represents frequencies or relative frequencies, and the horizontal axis represents the response variable in the frequency plot (i.e., the mid-point of each interval).

The first graph accurately represents the quiz grades as the graph ranges from 0 to 100 and the markings on it are made from 10 to 70.

The second graph is not the accurate representation of the quiz grades because the graph is ranging from 0 to 50 but the quiz grades are ranging from 10 to 70.

The third graph accurately represents the quiz grades as the graph ranges from 0 to 90 and the markings on it are made appropriately.

The fourth graph also accurately represents the quiz grades as the graph ranges from 0 to 80 and the markings on it are made accurately.

Hence, the second graph with numbers till 50 is not the accurate representation of the quiz grades.

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Nico spends $27 at the grocery store. He buys a pizza for $10. He also buys granola for $5 and 3 packages of strawberries. How much is each package of strawberries?​

Answers

Answer:

$4 (a)

Step-by-step explanation:

First remove the prices of the total we are given so the $10 and the $5 from the total price which is $27.

This leaves us with 12 dollars. That is how much Nico spend in the 3 packages of strawberries.

Now we want the price of each so divide $12 by 3 packages which gives us $4 per package.

Answer:

Each package of strawberries is $4.00 each.

Step-by-step explanation:

Well, Nico spends a total of $27.00 at the grocery store. If he already spent $10.00 on pizza and $5.00 on granola. That adds up to $15.00 already spent. He has $12.00 left. Correct? If he buys 3 packages of strawberries, thats 12/3. 12 divided by 3 is 4. So Nico spent $4.00 on each package of strawberries.

A certain statistic will be used as an unbiased estimator of a parameter.Let J represent the sampling distribution of the estimator for samples of size 40, and let K represent the sampling distribution of the estimator for samples of size 100.Which of the following must be true aboutJ and K ?answer choicesThe expected value of J will be equal to the expected value of K, and the variability of J will be equal to the variability of KThe expected value of J will be greater than the expected value of K, and the variability of J will be greater than the variability of K.The expected value of J will be greater than the expected value of K, and the variability of J will be less than the variability of K.The expected values of J and K will be equal, and the variability of J will equal the variability of K.The expected values of J and K will be equal, and the variability of J will be greater than the variability of K.

Answers

The statement that is true about J and K is that the expected values of J and K will be equal, and the variability of J will be greater than the variability of K. (Option E)

The sample size of J is 40 and sample size of K is 100. According to the central limit theorem if there is a population with mean μ and standard deviation σ and sufficiently large random samples is taken from the population with replacement, then the distribution of the sample means will be approximately normally distributed. Based on the theorem, both J and K will have the same expected value or mean.

As the standard deviation is inversely proportional to the same size, as the sample size increases, the standard deviation and related variability decreases. Hence, the variability of J will be greater than variability of K.

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4. Sue bought a jacket and a shirt. The shirt was 40% the cost of
the jacket.
Write an expression that represents the total cost of the jacket and
shirt.
Sue had $100 and spent $65 on the jacket. Write and solve an
equation to find how much Sue had after making her purchases.

Answers

Sue had -$40 after making her purchases.

Expression:

The total cost of the jacket and shirt = Jacket Cost + Shirt Cost

Total cost = Jacket + Shirt

Total cost = $100 + (0.40 x $100)

Total cost = $100 + $40

Total cost = $140

$100 - $140 = -$40

Sue had -$40 after making her purchases.

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What are the measures of the angles in triangle ABC?

Answers

A triangle has 3 angles. The measure of the angles in triangle ABC is ∠ABC, ∠BCA and ∠BAC.

According to the angle sum property of a triangle, the sum of all three angles of a triangle is equal to 180°. That is

∠ABC + ∠BCA + ∠BAC.

In an acute triangle, all three angles are acute, meaning they are less than 90 degrees.

In a right triangle, one of the angles is always 90 degrees, which is the angle formed by the two legs of the triangle. The other two angles are acute, meaning they are less than 90 degrees.

In an obtuse triangle, one of the angles is greater than 90 degrees, which is the obtuse angle. The other two angles are acute, meaning they are less than 90 degrees.

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Investment Amount Invested ROR
Savings Account $4,200 3.6%
Municipal Bond $2,800 1.8%
Preferred Stock $950 13.6%
Common Stock A $1,645 −1.2%


Using technology, calculate the weighted dollar amount of the savings account.
$19.74
$50.20
$129.20
$151.20

Answers

The solution is Option D.

The weighted dollar amount of the savings account is given by the equation A = $ 151.20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the weighted dollar amount of the savings account be A

Now , the equation will be

The total amount in savings account = $ 4200

The percentage of weighted amount in savings account = 3.6 %

So , the weighted amount in savings account = percentage of weighted amount in savings account x total amount in savings account

Substituting the values in the equation , we get

The weighted amount in savings account A = ( 3.6 ) % x 4200

On simplifying the equation , we get

The weighted amount in savings account A = ( 3.6 / 100 ) x 4200

The weighted amount in savings account A = 4200 x 0.036

The weighted amount in savings account A = $ 151.20

Therefore , the value of A is $ 151.20

Hence , the amount is $ 151.20

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Cumulative Review Tell whether you can fold the figure in half so that one side matches the other ​

Answers

Answer:

No, you cannot fold the figure in half so that one side matches the other.

Step-by-step explanation:

The figure does not have any symmetry, so it cannot be folded in half so that one side matches the other.

How many 7 digit combinations are there?

Answers

There are 10,000,000 (10 million) 7-digit combinations. A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations

A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations:

n!/(r!(n-r)!)

where n=10 (the number of possibilities for each digit) and r=7 (the number of digits).

10!/(7!(10-7)!) = 10!/7!3! = 10!/(7!3!) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5 x 3 x 2 x 1 x 3 x 2 x 1) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5 x 3 x 2 x 1) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5) = 10 x 9 x 8 x 7 x 6 x 5/7 = 10 x 9 x 8 x 7 x 6 = 10,000,000 (10 million)

Therefore, there are 10 million 7-digit combinations.A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations

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what is the $2007^{\text{th}}$ digit to the right of the decimal point in the decimal expansion of $\frac{1}{7}$?

Answers

The 2007th digit to the right of 1/7 is 2

when we convert 1/7 in decimal we get

1/7= 0.14285714285714....

Here we can notice that 6 digits are recurring.

The recurring digits are 1,4,2,8,5,7

For 2007th place, we divide 2007 by 6

2007/6=333.4

Now, this quotient tells us the place of the digit after the decimal that will be present in 2007th place i.e., if the quotient was 0 the digit at 2007th place would be 1 again, if the quotient was 1 the digit at 2007th place would be 4 and so on.

Hence the digit third from decimal is 2

Therefore, The 2007th digit to the right of 1/7 is 2

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whats 2 plus 2.trying to see if this really works or not

Answers

Answer:

4

Step-by-step explanation:

this thing works (dont worry)

2+2= 4
1+1+1+1=4
~ ~
2 2

Read the following introductory paragrapi
It is hard to believe that an entire nation could find hope in the form of an undersized and overweight horse, but Laura
Hillenbrand's book Seabiscuit: An American Legend makes
that case. The book describes how the career of the little
racehorse mirrored the rise and fall of America's fortunes during the last half of the Great Depression.
Which option below makes the most effective hook?

(A)Some people are inispired by tales of space adventures or epic journeys across imaginary lands. But I have always
preferred non-fiction. That is why I enjoyed the story of the horse named Seabiscuit.
(B)During the late 1930's, the #1 newsmaker wasn't a president, movie star, or sports hero, it was a horse. His name

was Seabiscuit, and Americans not only read in about him in the news, they bought his merchandise and broke track
records watching him run. Forty million people regularly tuned in on the radio to hear Seabiscuit's races,
including President Roosevelt, who sometimes delayed cabinet meetings to listen.
O (C)If you saw the movie Seabiscuit and loved it, then do yourself a favor and read the book. It is so good!
(D)The movie Seabiscuit made millions of dollars and was nominated for seven Academy Awards. The story of a
racehorse, it is an inspirational tale about overcoming challenges. A line in the film, said by Seabiscuit's jockey,
sums it up: "You know, everyone
thinks that we found this broken-down horse and fixed him, but we didn't. He
fixed us. Every one of us. And guess in way, we kinda fixed each other, too."

Answers

When selecting true claims, you might opt for those that were first made in the narrative and are not adamant declarations. All things considered, the evidence strongly suggests that the 1930s were the beginning of the Great Depression.

What is the paragraph's main idea?The first section of a document has the ability to introduce the topic that will be covered in the body paragraphs and to define the parameters of that topic. This task is carried out by the passage's trap.Additionally, the opening paragraph typically indicates the type of article being read, or at the very least, whether it is a factual text or an instructive text, typically by a proposal explanation.However, specific nuances or, ultimately, further information on the topic of the exposition is introduced in the body passages, which include facts, figures, and models that support the main idea.

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Answer:c

Step-by-step explanation:

What is the square of (- 1?

Answers

The square root of minus one √(−1) is the "unit" Imaginary Number. Therefore it doesn't exist.

Now, According to the question:

What is Square Root?

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.

What is the square of (- 1 )=?

The square root of minus one √(−1) is the "unit" Imaginary Number. Therefore it doesn't exist.

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lindsey and a few of her friends wanted to have a pizza delivered to her home while they studied for Mid-Terms exam. If the pizza has 8 slices and the total cost was 30.80, how much should lindsey ask her friends to pay for each slice?

If you can please show a pic of the example need help for test

Answers

The amount Lindsey asks her friends to pay for each slice is $3.85.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of slices in the pizza = 8

The total cost of the pizza = $30.80

The cost of each slice.

= 30.80/8

= $3.85

Thus,

The cost of each slice is $3.85.

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I need help with IXL's

Answers

The equation of graph in slope intercept form with inequality is

y < -2x + 6.

What is slope - intercept form of line?

The slope intercept equation can be used to determine a straight line's general equation from its slope and the location of its y-axis intersection.

Y = mx + b is the slope intercept form equation.

One formula for figuring out a line's equation is the slope-intercept formula. A line with slope m and a y-intercept of b has a slope-intercept formula of y = mx + b. Any point on the line can be found at (x, y).

From graph we can see that the graph passing through the points (3, 0) and (0, 6).

We have to find the slope intercept form of line.

First to find the slope of the line.

m = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-0}{0-3}=\frac{6}{-3} = -2[/tex]

Slope of the line is -2.

Now consider, the point -slope form of the line

[tex]y-y_1=m(x-x_1)[/tex]

Plug [tex]m = -2, (x_1, y_1) = (3, 0)[/tex]

[tex]y-0=-2(x-3)\\y=-2x+6[/tex]

Hence, the equation of graph in slope intercept form with inequality is

y < -2x + 6.

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Jayden is making frozen dog treats for his puppy Spot. He mixes 1 quart of yogurt, 10 fluid ounces of peanut butter, and 6 fluid ounces of honey. Then, he freezes the mixture in ice cube trays. Each tray holds 16 fluid ounces of treats. How many trays of dog treats does Jayden make?

Answers

The number of trays of dog treats Jayden made is 3.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of ounces in the mixture.

= 1 quart yogurt + 10 ounces of peanut butter + 6 ounces of honey

[ 1 quart = 32 ounces ]

= 32 + 10 + 6

= 48 ounces

Now,

Number of ounces in each tray = 16 ounces

The number of tray.

= 48/16

= 3

Thus,

The number of trays for dog treats is 3.

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A right rectangular prism is packed with cubes of side length 6 inch. If the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?

Answers

Answer:

432 cubic inches

Step-by-step explanation:

The volume of the rectangular prism is 6 * 12 * 3 * 2 = 432 cubic inches.

Which fraction is represented by point A on the number line?

A number line going from negative 1 to positive 1. There are 3 equal spaces between each number. Point A is 1 mark to the left of 0.
–1
Negative one-third
One-third
1

Answers

Point A on the number line represents the number fraction -1. Option A is correct.

What is a number line?

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
A number line goes from negative 1 to positive 1. There are 3 equal spaces between each number. Point A is 1 mark to the left of 0.
So on the number line, the numbers on the left of 0 follow the negative sequence, and the number to the right of the zero follows the positive sequence. Following the given condition, point A on the number line represents the number fraction -1.

Thus, Point A on the number line represents the number fraction -1.

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please help me!! confused lol

Answers

Answer: y= -3x -1

you should calculate the gradient of the line using the points shown in the question (-1, 2) and (1, -4)

Gradient formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex] (next you should substitute the values from

                                                  the points)

                                [tex]m= \frac{2-(-4)}{-1-1} \\m=-3[/tex]  

Solve each inequality

3+4x>27

Answers

Answer:

x > 6

Step-by-step explanation:

3 + 4x > 27

Subtract 3 from both sides:

4x > 24

Divide both sides by 4:

[x > 6]

Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter. The dot plot shows the number of food cans collected by each student. Each dot represents one student.

Answers

The median of the data set when Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter will be C. 7

What is the median?

When everything is written out, the median is essentially the center number. So, using your line plot, you should write each number down as many times as a dot appears above it.

This would be 6, 6, 7, 7, 8, 9, for this issue. The fourth number would be the center since there are seven total. Out of these numbers, the 7 comes fourth in ascending order, giving you your answer.

Therefore, it should be noted that based on the information, the correct option is C.

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Complete question

Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter. The dot plot shows the number of food cans collected by each student. Each dot represents one student.

What is the median of the data set?

A. 6

B. 9

C. 7

D. 8

4. Find the surface area and volume of a basketball with a radius equal to 29.5 inches. If this basketball was filled with water, how much water is needed?

Answers

Rounded to the nearest inch, we get 434 inches cubed.

How to determine the radius of the sphere?

To determine the radius of the sphere before you can determine its volume. You can calculate the diameter by taking the diameter of 29.5 inches and dividing it by pi.

Let the equation be

[tex]$\begin{gathered}C=\pi \times D \\\frac{29.5}{3.14}=\frac{1475}{157}=9.3949044585987261\end{gathered}$$[/tex]

Then divide the diameter by 2 to get the radius.

[tex]$\frac{\left(\frac{29.5}{3.14}\right)}{2}=\frac{1475}{314}=4.6974522292993631$$[/tex]

So we get a radius of about 4.70.

Then we Utilize the formula for the volume of a sphere which exists

[tex]$V=\frac{4}{3} \times \pi \times r^3$$[/tex]

Substituting in R for 4.69, we get

[tex]$\frac{4}{3} \times 3.14 \times\left(\frac{1475}{314}\right)^3=433.96579644880793$$[/tex]

Rounded to the nearest inch, we get 434 inches cubed.

Therefore, the correct answer is 434 inches cubed.

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If we round to the next inch, we get 434 inches cubed. The three-dimensional equivalent of the two-dimensional circle, a ball is spherical and has a sphere-like shape.

How do you calculate the volume of a basketball?

Suppose the equation is  [tex]C = \pi \times D[/tex]

[tex]\frac{29.5}{3.14} =\frac{1475}{314} = 9.3949044522293[/tex]

Next, multiply the radius by two to obtain the diameter.

[tex]\frac{\frac{29.5}{3.14}}{2} =\frac{1475}{314} = 4.6974522293[/tex]

Consequently, we determine that the radius is around 4.70. Next, we use the formula for the volume of a sphere that is known.

[tex]V= \frac{4}{3} \times \pi \times r^{3}[/tex]

When we replace 4.69 with R, we obtain , We get 434 inches cubed when we round to the nearest inch.

Basketballs typically have a surface size of 277.6 square inches. Calculate the basketball's circumference. Use the alumrof aera ecafrus formula, which is the reverse of the surface area formula. A basketball has a circumference of roughly 4.7 inches. The circumference of a basketball can be used to determine its volume. Basketballs used in the official NBA have a 29.5-inch circumference and a 434-cubic-inch capacity.

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what is the area of circle that has a circumference of 24

Answers

Answer :
45.84
Explanation :
A = πr^2
C = 2πr
Area:
A = C^2/4π = 24^2/4.π ≈ 45.84

What is the integral of ln 3x?

Answers

Refer to the photo attached.

4-101. Copy and simplify each expression. Homework Help ✎ a. −2 + 5 _____________________________________
b. (−4) · (6) _____________________________________
c. 4 − (−3) _____________________________________
d. 10 + (−2) − 7 _____________________________________
e. −5 − 3(2 − 6) _____________________________________
f. (3 − 3)(102 − 11) _____________________________________

Answers

The simplified form of each of the given expressions as required is as follows;

a. -2 + 5 = 3

b. (−4) • (6) = -24

c. 4 − (−3) = 4 + 3 = 7

d. 10 + (−2) − 7 = 10 - 2 - 7 = 1.

e. −5 − 3(2 − 6) = -5 -3(-4) = -5 + 12 = 7.

f. (3 − 3)(102 − 11) = (0) (91) = 0.

What are the simplified forms of the given arithmetic operations?

It follows from the task content that the given arithmetic operations are to be simplified.

The PEMDAS guidelines which prescribe the order of mathematical operations is used for the computation.

where;

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

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In AVWX, x = 260 cm, m/V=80° and m/W=70°. Find the length of w, to the
nearest 10th of a centimeter.

Answers

The length of w is 251.8 cm, to the nearest 10th of a centimeter.

What is length?

Length is a measure of one dimension of a physical object or space. It is typically taken to mean the longest dimension of an object, though it can also refer to the overall size of a two-dimensional object or shape, such as a rectangle. Length is generally measured in units such as meters, feet, or inches. Length is an important concept in many fields, such as geometry, physics, engineering, and architecture. It is also used to calculate distances between two points in space.

The formula to calculate the length of w is as follows: w=√(x2 +V2-2xVcosm/V). Substituting the given values, we get w=√(2602 + 802-2(260)(80)cos80°). Simplifying this expression, we get w=251.8 cm. So, the length of w is 251.8 cm, to the nearest 10th of a centimeter.

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How do you find the inverse of a parent function?

Answers

To find the inverse of a parent function, use the following steps:

1. Switch the x and y variables.

2. Solve the equation for y.

3. Replace y with f-1(x).

4. Simplify the equation.

The inverse of a parent function is a new function that is the "reverse" of the original function. This can be found by switching the x and y variables and solving for y. Once you have switched the variables and solved for y, replace y with f-1(x). This is the notation for the inverse of a function. Simplifying the equation will give you the inverse of the original function. For example, if the function is y = 2x + 1, first switch the variables to x = 2y + 1. Then solve for y to get y = (x - 1)/2. Replace y with f-1(x) to get f-1(x) = (x - 1)/2. Simplifying this equation gives you the inverse of the original function, f-1(x) = (x - 1)/2.

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GIVING 50 POINTS HELP ASAP

Answers

Answer:

770.97692cm^2

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c 2 Solving for A

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=15·12+20·12+13·12+1

2·﹣154+2·(15·20)2+2·(15·13)2﹣204+2·(20·13)2﹣134≈770.97692

Answer:

1008 cm²

Step-by-step explanation:

The surface area of the triangular prism is made up of:

3 rectangles.2 congruent triangles (the bases).

Area of rectangle 1 = 20 × 15 = 300 cm²

Area of rectangle 2 = 20 × 13 = 260 cm²

Area of rectangle 3 = 20 × (5 + 9) = 280 cm²

Area of one triangular base = 1/2 × (5 + 9) × 12 = 84 cm²

Therefore,

SA of the triangular prism = 300 + 260 + 280 + 84 + 84 = 1008 cm²

Graph the solution to the inequality |2x + 2| ≤ 6.

The graph shows a number line with a closed circle at negative 4 and shading to the left. It also shows a closed circle at 2 with shading to the right.
The graph shows a number line with an open circle at negative 4 and shading to the left. It also shows an open circle at 2 with shading to the right.
The graph shows a number line with closed circles at negative 4 and 2, with shading between the circles.
The graph shows a number line with open circles at negative 4 and 2, with shading between the circles.

Answers

The solution to the given linear inequality is given in graph.

What is linear inequality?

In mathematics, inequality denotes a mathematical expression in which neither side is equal. In Math, an inequality occurs when a connection produces a non-equal comparison between two expressions or two integers. The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols "< and '>' represent strict inequalities, whereas  ‘≤’ and ‘≥’ represent slack inequalities. A linear inequality appears to be a linear equation, however there is a difference in the formula.

Graph for |2x + 2| ≤ 6 is in the image.

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Answer:

It is C

Step-by-step explanation:

Greg bought a new car for £18000
In the first year the value of the car depreciates by 30%
In the second year and third year the car depreciates by 14%
Work out the value of the car after 3 years

Answers

The value of the car after 3 years is £ 9318.6.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is.

First, the value of car after one year

= 18000 x (1- 30%)

= 18000 x 70%

= 18000 x 0.7

= 12600

now, the value of car after two year

= 12600 x (1- 14%)

= 12600x 86%

= 12600x 0.86

= 10836

and, the value of car after three year

= 10836 x (1-14%)

= 10836 x 86%

= £ 9318.6

Hence, the value is £ 9318.6

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Devon is attending a local festival downtown. He plans to
park his car in a parking garage that operates from 7:00
a.m. to 10:00 p.m. and charges $5 for the first hour and $2
for each additional hour of parking.

Create a linear graph that represents the relationship
between the price and the number of hours parked.


Could you guys also figure out the range as its shown in the second picture.

Answers

The linear function the model the problem is y = 2x + 5

What is Linear Function

A linear function is a type of mathematical function that can be represented by a straight line on a graph. It is defined by an equation of the form y = mx + c, where m is the slope of the line and c is the y-intercept (the point where the line crosses the y-axis). Linear functions have certain properties, such as the fact that they have a constant rate of change and that the graph of a linear function is always a straight line.

From the data;

slope (m) = 2

y - intercept = 5

The linear function will be y = 2x + 5

Plotting this on a graph using a graphing calculator, we can easily identify our y - intercepts and slope.

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