PLEASE HELP EXTRA POINTS select all true statements

Answer:

There is only one solution

Step-by-step explanation:

4x - 7 = 2x + 15

+7        +7

4x = 2x + 22

-2x   -2x

2x = 22

divide by 2 into both sides

x = 11

Since there is only one answer, there is only ONE solution.

Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of s, the speed of the current in kilometers per hour. Jada gets if she allows s to take on any value between 0 and 7.5.

The domain of the function that represents Jada's trip is the set of input value the function can take

The appropriate domain is all real numbers except

x = 5.5

by looking at the graph, we can see that:

The x-value starts at negative infinity, and ends near 5.5

The x-value then continues near 5.5, and ends at positive infinity

This means that the input of the graph cannot be 5.5

Hence, an appropriate domain would be: x # 5.5

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At 95% confidence, the z critical value is roughly z = 1.96

You would use a reference table or calculator to determine this value. Unfortunately it's not something that can be easily/quickly found by hand.

If we're trying to estimate the population mean (mu), then we'll use this margin of error formula

E = z*sigma/sqrt(n)

Or if we want to estimate the population proportion (p), then we use this formula

E = z*sqrt(phat*(1-phat)/n)

The confidence interval then spans from (pointEstimate)-E to (pointEstimate)+E. Where "pointEstimate" represents either xbar or phat depending on the context. Other point estimates are possible. We're focusing on these two for now.

xbar estimates mu

phat estimates p

--------------------------------

An example problem:

A manager at a soda bottling plant wants to know if the contents of the cans are 20 fluid ounces (fl oz) or not. Through past observations, the manager has noted the population standard deviation (sigma) is 1.72 fl oz.

The manager gathers a random sample of 50 cans to test their contents. They find the sample mean is 18 fl oz. Conduct a hypothesis test using a confidence interval at 95% confidence to see if the cans really do have 20 fl oz of drink in them or not.

--------------------------------

Solution:

Null Hypothesis: mu = 20

Alternate Hypothesis: mu ≠ 20

This is a two-tailed test.

E = margin of error

E = z*sigma/sqrt(n)

E = 1.96*1.72/sqrt(50)

E = 0.47676

L = lower boundary of confidence interval

L = xbar - E

L = 18 - 0.47676

L = 17.52324

L = 17.52

U = upper boundary of confidence interval

U = xbar + E

U = 18 + 0.47676

U = 18.47676

U = 18.48

The 95% confidence interval is approximately (17.52, 18.48)

This is equivalent to writing 17.52 < mu < 18.48 in which we are 95% confidence in saying mu is between those endpoints.

But wait, the hypothesized mu = 20 is not in the interval 17.52 < mu < 18.48, which indicates we must reject the null hypothesis and accept the alternate hypothesis.  

The soda cans do not have 20 fl oz of drink. It appears they have slightly less than 20 fl oz.

The value of x according to the given equation as in the task content is; 3¹⁹.

It follows from the task content that the value of x is to be determined from the equation given in the task content.

Therefore, since the equation given in the task content is;

(81)⁵ = 3x

(3⁴)⁵ = 3x

3²⁰ = 3x

Therefore, the value of x can be evaluated as;

x = 3²⁰/3

x = 3¹⁹.

Ultimately, the value of x from the given equation is; 3¹⁹.

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The total number of miles that the teacher ran both last week and this week was 10.35 miles

Last week, the teacher ran a total of 5 3/4 miles. For easier calculation, convert this to a decimal:

= 5 + 3/4

= 5 + 3 ÷ 4

= 5 + 0.75

= 5.75 miles

This week, the teacher ran 4 / 5 of the miles he ran the previous week:
= 5. 75 x 4/5

= 4.6 miles

The total number of miles the teacher ran both last week and this week were:

= 5.75 + 4.6

= 10.35 miles

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Answer:

10 7/20 miles

Step-by-step explanation:

Zach's investment is $100,000.

A ratio shows us the number of times a number contains another number.

Given that Zach, Kolby, and Peyton are investing a total of $350,000 to open a coffee shop. And their investments are in the ratio 1:2:0.5, respectively.
Therefore, Zach, Kolby, and Peyton's investment can be written as  1x, 2x, and 0.5x, respectively.

Now, the total sum of the investment of the three can be written as,

Zach's investment + Kolby's investment + Peyton's investment = $350,000

1x + 2x + 0.5x = $350,000

3.5x = $350,000

x = $350,000 / 3.5

x = 100,000

Further, Zach's investment can be written as,

Zach's investment = 1x = 1($100,000) = $100,000

Hence, Zach's investment is $100,000.

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Answer:

10^3 = 1000

Step-by-step explanation:

10 * 10 * 10 = 1000

Answer:

1000

Step-by-step explanation:

it is ten to the third power so 10*10*10  and then you get the answer of:

1000

I hope this helped!

Answer:  7 4/10 + 2/10 = 38/5 = 7 3/5 = 7.6

Answer Overall : 38/5

Step-by-step explanation:  Conversion a mixed number 7 4/10 to a improper fraction: 7 4/10 = 7 4/10 = 7 · 10 + 4/10= 70 + 4/10= 74/10

To find a new numerator:

a) Multiply the whole number 7 by the denominator 10. Whole number 7 equally 7 * 10/10 = 70/10

b) Add the answer from previous step 70 to the numerator 4. New numerator is 70 + 4 = 74

c) Write a previous answer (new numerator 74) over the denominator 10.

Seven and four tenths is seventy-four tenths

Add: 74/10 + 2/10 = 74 + 2/10 = 76/10 = 2 · 38/2 · 5 = 38/5

The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, cancel by a common factor of 2 gives 38/5.

In other words - seventy-four tenths plus two tenths is thirty-eight fifths.

First convert the mixed number to a fraction by multiplying 7 by 10 and adding 4

add them together but DONT add the denominators

These numbers can be simplified by 2 so the final answer is:

Degree of a polynomial is the highest power that its terms contain which is 3 in the given monomial.

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

WE have been given an expression as 43πr³ represents the volume of a sphere, with radius r.

Terms can be added or subtracted to make a polynomial. They are composed of variables and constants all in multiplication.

So we know that if there is one term, then the polynomial will be called monomial.

Therefore, this expression is a monomial which have inly one term as 43πr³ .

Degree of a polynomial is the highest power that its terms contain which is 3 in the given monomial.

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[tex]log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)[/tex] is the completely expanded logarithmic expression .

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

the product rule for logarithms is

[tex]log_{b}(MN) = log_{b}(M) + log_{b}(N)[/tex]  for b > 0

now ,

[tex]log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)[/tex]

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Answer:

Step 1:subtract 5 from both sides

step 2: divide both sides by two

final answer: c= p-5/2

Answer:

Step 1: Subtract 5 from both sides.

Step 2: Divide 2 from both sides.

Final answer: C= p-5 / 2

Step-by-step explanation:

Answer:

Add up all the numbers and divide the product of that by the numbers there are.

7+6+12+5+7+6+13 = 56

There are 7 numbers in these set of numbers hence we divide the product (56) by 7.

56/7 = 8

The answer is 8; The average of all these numbers is 8.

Step-by-step explanation:

The number of miles (m) between the two cities as represented in the equation given 2[(4m * 3.5) / 400] = 171.5 is 2450 miles

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign. The most basic and simple algebraic equations consist of one or more variables in math.

In the equation given;

2[(4m * 3.5) / 400] = 171.5

Using changing the subject of formula to find the miles travelled;

2[(4m * 3.5) / 400] = 171.5

28m / 400 = 171.5

28m = 400 * 171.5

28m = 68600

m = 68600 / 28

m = 2450

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Answer: y=5 is the asymptote answer

The number of adult tickets were sold is 130 tickets.

Given,

In the question:

Total tickets were sold for the school play is 390 tickets.

The number of student tickets sold was two times number of adult tickets sold.

To find the how many adult tickets were sold?

Now, According to the question:

Based on the given conditions:

Let the number of adult tickets be x.

Formulate the condition:

x × (1 + 2) = 390

x × 3 = 390

Simplify

x = 390/3

x = 130

Hence, The number of adult tickets were sold is 130 tickets.

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Answer:

Left graph.

Domain: all real numbers.

Range: y ≤ 4

Middle graph.

Domain: all real numbers

Range: y ≥ 3

Right graph.

Domain: x ≥ -2

Range: y ≥ -3

Answer:

1.  Domain:  (-∞, ∞)     Range:  (-∞, 4]

2.  Domain:  (-∞, ∞)     Range:  [3, ∞)

3.  Domain:  [-2, ∞)     Range:  [-3, ∞)

Step-by-step explanation:

Definitions

Note:  Assume that each square on the given graphs is 1 unit.

As there are arrows at both endpoints of the curve, the domain of the function is unrestricted.

The curve has a maximum point at (2, 4) and continues indefinitely towards negative infinity at both endpoints.

Therefore, the range of the function is restricted.

As there are arrows at both endpoints of the function, the domain is unrestricted.

The function has a minimum point at y = 3.

When x > -2, the line continues indefinitely at y = 3.

When x < -2, the line continues indefinitely towards infinity.

Therefore, the range of the function is restricted.

The domain of the function is restricted since there is a closed circle at one endpoint: (-2, -3).  When x > -2, the line continues indefinitely towards infinity.

The function has a minimum point at (-2, -3). As x continues towards infinity, so does y.

Therefore, the range of the function is restricted.

Answer:$190

Step-by-step explanation:

for an expression is $80+$65+$50=190 per dog to adopt a from the animal shelter.

The equation have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p

Given: 2.3p – 10.1 = 6.5p – 4 – 0.01p.

Using this given property, let's write the equation

We can subtract like terms (6.5p– 0.01p = 6.49p) to get:

2.3p – 10.1 = 6.5p – 0.01p – 4

2.3p – 10.1 = 6.49p – 4

Also, we can multiply both sides of the algebraic equation by 100:

(2.3p – 10.1) x 100 = (6.5p – 4 – 0.01p) x 100

230p – 1010 = 650p – 400 – p

Therefore, the equations have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p. The 2nd and 3rd options are the answers

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The balance in Lee's account at the end of 6 years is $384,830.53.

The first step is to determine the future value of the initial amount deposited in the savings account.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

Balance at the end of 3 years: $17,000 x (1.045)^(3 x2) = $22,138.42

The total value of the account after $42,000 is deposited is:

$42,000 + $22,138.42 = $64,138.42

The future value of $64,138.42 at the end of 6 years is:

Balance at the end of 6 years: $64,138.42 x (1.045)^(3 x2) = $384,830.53

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Answer:

6x=24-12y

x=24-12y/6

x=4-12y

The different ways to make groups of 4 based on the napkins given is 6 ways.

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects. Thus can be illustrated by nCr

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time

In this case, Elijah has red and yellow napkins. He must set out napkins for 4 people. This will be:

= n! / ((n – r)! r!)

= 4! / (4 - 2)! 2!

= 4! / 2!2!

= 4 × 3/2

= 6

Therefore, there are 6 ways.

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The equation of the line is : y = -1x + 3

What is Equation of line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.

Given,

3x + 3y = 2

3y = -3x + 2

y = -x + 2/3

Comparing it with

y = mx + c

we get,

m = -1

Now, let the equation of line be

y = mx + c

where, m = -1

Now we have to check for point (0,0) that it satisfies

0 = -1(0) + c

c = 0

So, the equation of line will be y = -1x

Now, let y = mx + c be the equation of line of point (-3, 6) should satisfy]

6 = -1(-3) + c

6 = 3 + c

c = 6 - 3

c = 3

So the equation of line is y = -1x + 3

Hence, The equation of the line is  y = -1x + 3

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The required equation  can be used to determine the pounds of laundry the customer brought in is A. 0.61x + 28.00 = 41.42

An equation is a mathematical expression that shows the relationship between two variables.

To find the given equation,

Let x be the number of pounds of clothes washed and folded at the laundromat.

Given that the laundromat will wash and fold clothes at $0.61 per pound for those customers with a laundry service, the total amount paid for the number of poundsof clothes is P = rate × number of pounds = $0.61 × x = 0.61x

Also, the laundromat has a wash-and-fold service for a monthly fee of $28.00.

So, the total amount paid is T = P + $28.00 = $0.61x + $28.00

Now, since one customer paid $41.42 in total for the month, since this is the total amount paid, then T = $41.42

So, $0.61x + $28.00 = $41.42

So, the required equation is A. 0.61x + 28.00 = 41.42

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According to the histogram, the percentage of participants aged 40 to 59, who attended the restaurant's food festival, is 35%.

A histogram approximately represents a distribution of grouped data with numerical values.

A histogram uses rectangular bars to show the frequency of data items in successive numerical intervals of equal sizes.

Age Group (year)  Number of People

0 to 19                            20

20 to 39                         40

40 to 59                         60

60 to 79                         50

Total                             170

Percentage of ages 40 to 59  =  60/170 x 100 = 35.29%

Thus, using the histogram, we can assure the restaurant manager that 35% of the festival participants are between 40 and 59 years old.

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A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° .

The given right-angle triangle has the following sides,

AC = Base

BC = Perpendicular

AB = Hyp.

By tan function,

Since,tanθ = Perp/Base

tan29° = 28/x

x = 50.51

Hence, "A triangle is said to be right angle if one of the angles is 90 degrees, the value of the side x for the given right angle triangle is 50.51".

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The independent variable x is the hour of work.

The dependent variable y is the total money Ethan earn per visit.

The y-intercept is 25.

The slope is 22.

Ethan charges a one time fee of 25 dollars. For each visit Ethan earns 22 dollars for each hour of work.

Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges 25 plus 22 per hour of work.

A linear equation that expresses the total amount of money Ethan earns per visit is y = 25 + 22x.

Using slope intercept equation,

y = mx + b

where

y = 25 + 22x

The independent variable x is the hour of work.

The dependent variable y is the total money Ethan earn per visit.  

The y-intercept is the value of y when x = 0. Therefore, the y-intercept is 25.

The slope is the change in the dependent variable with respect to the change in the independent variable. The slope is 22.

Ethan charges a one time fee of 25 dollars. For each visit Ethan earns 22 dollars for each hour of work.

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Fraction of her career has she been at her current job is 1/3 or 0.333.

Given:

Mr.Marx has been in the journalism industry for 24 years.

She has worked at her current job 8 of those years.

Fraction = number of year in current job/number of years in journalism industry.

= 8 years/24 years

= 8/24

= 1/3 ≈ 0.333.

Therefore fraction of her career has she been at her current job is 1/3 or 0.333.

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Answer:

Step-by-step explanation:

9.65+0.4=10.05

16.058-1.2=14.858