Answer:
100/1738*1580 = 90.9090909091
Step-by-step explanation:
Frosty the Snowman originally was 5 feet tall. He began to shrink 1/2 of each foot during the daylight. After 5 hours, Frosty was _ feet tall.
How do i find the surface area
Answer:
You break it up into smaller pieces! (48)
Step-by-step explanation:
You can either take the area of the full rectangle, or of the square + 2 rectangles using length*width
3*12 = 36
You are left with the two triangles which area you can get using 1/2*width*height since they are right triangles.
1/2*4*3 = 6
36 + 12 = 48
DUE SOON PLEASE HELP
The ratio of their volumes is equal to: D. 27:125.
How to calculate the volume of a sphere?Mathematically, the volume of a sphere can be calculated by using this formula:
Volume = 4/3 × πr³
Where:
r represents the radius.
Based on the information provided about the two spheres, an expression which models their surface areas (S) with respect to volumes (V) is given by;
S₁/S₂ = V₁/V₂
S₁/S₂ = 9/25
(4πr₁²)/(4πr₂²) = 9/25
r₁²/r₂² = 9/25
Taking the square root of both sides of the expression, we have:
r₁/r₂ = 3/4
From the volume of a sphere formula, we have:
V₁/V₂ = (4/3 × πr₁³)/(4/3 × πr₂³)
V₁/V₂ = r₁³/r₂³
V₁/V₂ = 3³/4³
V₁/V₂ = 27/125.
Therefore, the required ratio is 27:125.
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Student bring 8 7/8 gallons of lemonade to a picnic They drink 5 2/8 for lunch. then that drink 2 1/8 with a snack How much Lemonade is left
Answer:
1 4/8
or
1 1/2
or
1.5
Step-by-step explanation:
8 7/8 - 5 2/8 - 2 1/8
mark brainliest
In the diagram, which pair of angles are vertical angles?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
Angle 1 and Angle 2
Angle 4 and Angle 6
Angle 6 and Angle 8
Angle 5 and Angle 3
Step-by-step explanation:
opposite interior angles
Really need help please
The quotient from the division of 2x³ - x² - 11x - 8 by x + 1 is 2x² - 3x - 8
What is Synthetic DivisionSynthetic division is a method of dividing polynomials that involves dividing one polynomial by another polynomial of degree 1. The goal of synthetic division is to simplify a polynomial division problem into a simpler, easier-to-perform arithmetic operation. In synthetic division, the coefficients of the polynomials are arranged in a specific format, and the division is performed using a set of rules and shortcuts that allow the division to be performed quickly and easily. The result of the synthetic division is a quotient polynomial and a remainder, which can be used to check the accuracy of the division.
In this problem, we need to divide the polynomial with a divisor which are;
[2x³ - x² - 11x - 8] / [x + 1] = 2x² - 3x - 8
The quotient from the division is 2x² - 3x - 8 as the division did not have any remainder.
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A bag contains 50 marbles, 28 red ones and 22 blue ones. A marble is picked at random from the bag. What is the probability of picking a blue marble?
a
11/25
b
25/11
c
11/14
d
14/25
The probability of blue marbles is 11/25.
What is probability?Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
Given red marbles in the bag = 28
blue marbles in bag = 22
total marbles = 50
probability = favorable outcome/total outcome
P(blue marbles) = 22/50
P(blue marbles) = 11/25
Hence the probability is 11/25.
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A college is building a new basketball court that is 94 feet long and 50 feet wide, but the wood for the court comes only in 10-meter planks that are 8 centimeters wide. How many planks are needed to surface the court?
Using the formula of area of a rectangle, the number of planks that will surface the court is approximately 55
What is Area of a RectangleThe area of a rectangle is calculated by multiplying the length of the rectangle by its width. The formula is:
Area = length x width
In this problem, we can find the area of the court and the area of the plank and divide both to determine the number of plank that would suffice.
Area of court = length * width
length = 94 feet = 28.64m
width = 50 feet = 15.24m
Area of court = 28.64 * 15.24 = 436.47m²
Area of plank = length * width
Area of plank = 10 * 0.8
Area of plank = 8m²
The number of planks required = 436.47 / 8 = 54.55 ≅ 55 planks
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PLS HELP Select the values that make the inequality m>2 true. NEED THIS ANSWER RNNN
The values that make the inequality m>2 true are -
2.001, 2.01, 2.1, 3, 5, 7, and 10.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The given inequality is m>2 where m is any real integer.
This inequality m>2 means that any number that substitutes m should be grater then 2.
So, the options given are -
-6, -3, -1, 1, 1.9, 1.99, 1.999, 2, 2.001, 2.01, 2.1, 3, 5, 7, 10
Here, it can be clearly seen that the values -6, -3, -1, 1, 1.9, 1.99, 1.999 are less than 2. So, the inequality m>2 for these values remain false.
Also, 2 is equal to 2 so the inequality m>2 still remains false.
Therefore, for values 2.001, 2.01, 2.1, 3, 5, 7, 10, the inequality m>2 becomes true.
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22. Julianne works as a waitress. She carns $13 per hour plus tips.
a. Today she worked x hours. Express her pay for these hours algebraically.
b. She served nine tables. The total bill for these nine tables was y dollars.
Julianne received 18% in tips from these bills, Express the amount she
received in tips algebraically.
c. Express Julianne's total earnings for the day algebraically.
a. To express Julianne's pay for these x hours algebraically, you would use the equation: pay = 13x + tips
b. To express the amount Julianne received in tips algebraically, you would use the equation: tips = 0.18y
c. To express Julianne's total earnings for the day algebraically, you would add her pay (13x) to the amount of tips she received (0.18y) to get the equation: total earnings = 13x + 0.18y.
How to solve the given equation?a. Julianne earns $13 per hour plus tips, so her pay for working x hours can be expressed algebraically as pay = 13x + tips. This equation means that her pay is equal to $13 multiplied by the number of hours she worked, plus any additional tips she received. The variable "x" represents the number of hours she worked, and "tips" represents the additional money she earned from tips.
b. Julianne received tips from serving 9 tables, and the total bill for these tables was y dollars. We can express the amount she received in tips algebraically as tips = 0.18y. This equation means that the amount of tips she received is equal to 18% of the total bill for the 9 tables, represented by the variable "y". The 0.18 represents 18% in decimal form.
c. To find Julianne's total earnings for the day, we need to add her pay (13x) to the amount of tips she received (0.18y). This can be expressed algebraically as total earnings = 13x + 0.18y. This equation means that her total earnings for the day is equal to her pay for working x hours plus the amount of tips she received. The variable "x" represents the number of hours she worked, the variable "y" represents the total bill for the nine tables, and the product of 0.18 * y represents the amount she received as tips.
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How many yards are in 288in
Answer:
In 288 in there are 8 yd . Which is the same to say that 288 inches is 8 yards. Two hundred eighty-eight inches equals to eight yards.
Step-by-step explanation:
Answer:
There are 8 yards in 288 inches
Step-by-step explanation:
To turn inches into yards you need to convert.
First, turn the inches into feet
1 ft = 12 in
take 288 in and find how many feet there are
288 / 12 = 24 feet
There are 3 feet in 1 yard
take 24 and divide it by 3
24 / 3 = 8 yards
A rectangular window is 48 in long and 36 in wide. Rita would like to buy a screen for the window. The cost of the screen is based on the number of square feet the screen is. Use the facts to find the area of the window in square feet.
Answer..
Step-by-step explanation: dont worry about it
Use distributive property to create and equivalent expression to 9x + 21
HELP ITS DUE WENSDAY
Answer:
[tex]3(3x+7)[/tex]
Step-by-step explanation:
[tex]9x=3(3x), 21=3(7) \implies 9x+21=3(3x+7)[/tex]
The length of a rectangle is 20 cm greater than the width. The area is 125 sq cm. Find the dimensions of the rectangle.
On solving the provided question, we can say that Area of rectangle, A = x(25+x) => A = 20x + x^2 => x^2 +20x - 125 = 0 => x^2 + 25x - 5x - 125 = 0 => x = -25, +5
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
The length of a rectangle is = 20 cm greater than the width
The area is 125 sq cm.
let width be x
let length be 20 + x
Area of rectangle, A = x(25+x)
A = 20x + x^2
x^2 +20x - 125 = 0
x^2 + 25x - 5x - 125 = 0
x = -25, +5
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Ozzie's loan for $500,000 has a term of 15 years and a payment of $4,778.26 per month. What is the annual interest rate on this loan?
The annual interest rate on this loan is 4.8%.
What is Simple Interest?Simple interest is defined as the interest obtained over the principal amount on a certain rate.
Given that,
Principal amount, P = $500,000
Loan term, t = 15 years
Loan payment = $4,778.26 per month
= $57339.12 per year
= $860,086.8 in 15 years
We know that final amount for simple interest is,
A = P(1 + r t)
860,086.8 = 500,000(1 + 15r)
1.7201736 = 1 + 15r
r = 0.04801
r = 4.8%
Hence the annual interest rate is 4.8%.
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Allen Siegell has a personal injury protection policy that covers each person in, on, around, or under his car for medical expenses up to $50,000. He is involved in an accident and five people in his car are hurt. One person has $3,000 or medical expenses, three people each have $500 worth of medical expenses, and Allen himself has medical expenses totaling $62,000. How much money must the insurance company pay out for these five people?
The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500
What does a math word problem entail?
A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.
Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.
Therefore, the insurance company must pay out $66,500 for these five people.
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We can multiply or divide radicals regardless of their index.
True
Or
False
Can I get help with this
The distance between Sam's head and the helicopter is 28.36 m
Step 1: Find the vertical distance travelled by the helicopter in 10 seconds
The vertical distance travelled by the helicopter in 10 seconds = 5 m/sec x 10 sec = 50 m
Step 2: Find the horizontal distance between Sam and the helicopter
We can use the trigonometric relationship, tan 62° = Opposite/Adjacent
Therefore, the horizontal distance between Sam and the helicopter = 50 m/tan 62°
= 50 m/1.8813
= 26.56 m
Step 3: Find the distance between Sam's head and the helicopter
Since Sam is 1.8 m tall, the distance between Sam's head and the helicopter = 26.56 m + 1.8 m
= 28.36 m
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Solve the following system of equations using an inverse matrix. You must also
indicate the inverse matrix, A1, that was used to solve the system. You may
optionally write the inverse matrix with a scalar coefficient.
6x-3y = -9
-7x+2y = 5
The y-intercepts are at (0, 83), while the x-intercepts are at (0, 83). (0, 4). Similar to numbers, matrices also have reciprocals. This reciprocal is referred to as a inverse matrix in the matrices community.
What does an inverse matrix mean?Similar to how the combination of a number and also its inverse = one, the sum of an exact solution and a squared matrix also equals one. This is known as the idea of a variable matrix's inverse.
Here,
Since the exact solution I is indeed the opposite of a matrix,
A A-1 = A-1 A = I. A matrix that contains a non-zero consequence and
it can have is inverse determined is said to be invertible. A 2x3 matrix cannot have its inverse as it is not a matrix.
The x-intercepts are (8, 3), the response.
The y-intercepts are at (0, 4).
Therefore,
-3 x-2 y=-8
To both sides, add 2 y.
-3 x-2 y+2 y = -8+2 y
Simplify
Divide each side by three (3). -3 * /(-3 = eight (3) plus two (3)
Reduce complexity: x=-8 + 2y (1/3)
The x-intercepts are (8, 3), the response.
The y-intercepts are at (0, 4).
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Which point is a solution to the system of linear equations?
y = −x + 1
3x − y = 3
three halves comma negative one half
(1, 0)
negative one half comma three halves
(0, 1)
I will give brainlist
Simplify -5(7+x)+2/2/6x
If 8.5 ounces of cheese is $3.50 then 10.3 ounces would cost (a1) dollars
The required cost of 10.3 ounces of cheese is given as $4.326.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
8.5 ounces of cheese is $3.50.
Cost of 1 ounce of cheese = 3.50 / 8.5 = 0.42
Cost of 10.3 ounces of cheese = 0.42 × 10.3 = $4.326
Thus, the required cost of 10.3 ounces of cheese is given as $4.326.
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Determine on what intervals (if any) the graph of f(x) = 2 sin x - cos 2x is concave up or
concave down on the interval [0, 2). You may find the following identity useful: sin 2x = 2 sinx cos x.
Find the point on the curve y = 2x? - 7x + 6 closest to the point (0, 2). You may need a
calculator.
A wire 5 ft long is to be cut into two pieces. One piece is bent into the shape of a circle and the other into the shape of a square. Where should the wire be cut (i.e. how far from the end) sothat the sum of the areas of the circle and the square is a maximum?
Answer:ANSWER FOR `1
Step-by-step explanation:
To determine the intervals of concavity for the graph of f(x) = 2 sin x - cos 2x on the interval [0, 2), we must find its second derivative and test the sign.
The first derivative of f(x) is given by:
f'(x) = 2cos x + 2sin 2x
The second derivative of f(x) is given by:
f''(x) = -2sin x + 4cos 2x
For the interval [0, 2), we can determine the sign of f''(x) and hence the concavity of f(x) as follows:
When sin x > 0 and cos 2x < 0, f''(x) < 0, so the graph is concave down.
When sin x < 0 and cos 2x > 0, f''(x) > 0, so the graph is concave up.
Next, to find the point on the curve y = 2x^2 - 7x + 6 closest to the point (0, 2), we can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) = (0, 2) and (x2, y2) = (x, 2x^2 - 7x + 6).
Differentiating d with respect to x and setting it equal to zero, we can find the x-coordinate of the closest point.
Note: To complete this task, knowledge of multivariable calculus and optimization techniques is required.
Law of exponents zero and one rule
problem. Make sure to show all of the work. Please & Thank you!
Any nonzero real integer raised to the power of zero is one, hence anything that looks like 1⁴²b¹×18⁰ will always equal b if an is not equal to zero. This is known as the rule for zero as an exponent.
Why does 1 result even if the exponent is 0?In other words, the multiplicative identity is 1, since 1*x = x for every other number x. Because any number to the power of zero is just the result of no other numbers at all, or the multiplicative identity, 1, any number to the power of zero must be one.
What does the zero principle look like in practice?When two elements are multiplied and the outcome is zero at any point, the concept of zero products states that a minimum of one of them is zero. Thus, either y=0 y = 0 or 5=0 5 = 0 must be true. In this instance, since we are aware that 5 5 is not equal to 0, y y must be equal to 0.
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Question 23 options:
The sum of the measures of the exterior angles of a 105-gon is ___ degrees.
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any n-gon is 360°
What is the length of segment EA?
Answer:
Step-by-step explanation:
CA=64 √2
BA=BC=64
AG=137-64=73
AG=X
EG=X √3
EA=2X=73*2=146
Someone please help I’ll give good points for help !!! And explain please
What is an equation of the line that passes through the points through (0,-6) and (6,2)?
Answer: y= [tex]\frac{4}{3}[/tex]x - 6
Refer to the images to see the explanation I wrote down :)
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
a 3x=9
b 3x=1
c 11x=9
d 11x=1
Answer:
b [3x = 1]
Step-by-step explanation:
7x + 4 = 5 + 3x + 1x
Combine like terms:
7x + 4 = 5 + 4x
Subtract 4 from both sides:
7x = 1 + 4x
Subtract 4x from both sides:
[3x = 1]
Ill give brainliest for the answer
The Perimeter of RSTPQ is 84 units
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
From figure we can see that
AB= 15 and PQ = 21
Then, the ratio is
AB/ PQ = 15/ 21= 5/7
Now, finding the remaining side of RSTPQ
BC/ RQ = AB/ PQ
10 / RQ = 5/7
RQ = 14
and, RQ= ST = TP = 14 units
and, AB / SR = 5/7
15 / SR = 5/7
SR= 21 units
So, the Perimeter of RSTPQ
= RS+ ST + TP + PQ + QR
= 21 + 14 + 14 + 21 + 14
= 84 units
Hence, the perimeter is 84 units.
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The perimeter of the pentagon RSTPQ is 71 units.
What are similar figures?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical.
The given polygons are similar.
Here, ABCDE and PQRST are similar figures.
So, AB=PQ=21, AE=QR=PT=TS=DE=BC=10 units, CD=RS=20 uints
Then, the perimeter of the pentagon RSTPQ
= PQ+QR+RS+ST+TP
= 21+10+20+10+10
= 71 units
Therefore, the perimeter of the pentagon RSTPQ is 71 units.
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