Answer:
A)
Company A) would be y = 3x + 75
Company B) would be y = 2x + 85
company A company B
A = 3(5) + 75 B = 2(5) + 85
A = 15 + 75 B = 10 + 85
A = 90 B = 95
B)
Company A) so that would give us y = $90
Company B) and this would give us y = $95
C)
Company A- in 3 hours you would spend $84
Company B- in 3 hours you would spend $91
so you save $7 by using A instead of B
In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4?
the local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups this morning. How many batches of cookies did the barkey make?
divide total by amount needed for each batch
5.25 / 1.75 = 3
they made 3 batches of cookies
What is 15% higher than 60?
A.9
B.24
C.69
D.75
Alicia and Elena each earned $135 doing telephone surveys. Alicia did her surveys in 12 hours. It took Elena 75% as long to do her surveys. How much money did Elena earn per hour? A. $7 B. $11 C. $12 D. $15
Answer:
d 15
Easy. As that
write an indirect proof..if two angles are supplementary, than they both cannot be obtuse angles.
Answer:
They cannot. They have to be obtuse and acute.
write the addition sentence illustrated by each figure
Two families are sharing the cost of vacation home for one week. The cost to rent the home is $3,513 plus a $351.30 deposit. What is each family’s fair share of the home plus deposit?
$1756.50
$1128.10
$1932.15
.
$1432.15
The answer is $1932.15
3,513+351.30=3864.30
3864.30÷2=1932.15
Hope this helps!
Whitch best describes the resulting three-dimensional figure !?
The statement which best describes the resulting three-dimensional figure is:
A cylinder with a base radius of 14 cm.Step-by-step explanation:We know that when a rectangle is rotated about a line then the resulting figure so obtained is a cylinder.
Hence, the three dimensional figure will be a cylinder.Also, the breadth of the rectangle will be the radius of the cylinder.
Here the perimeter of the rectangle is: 76 cm.
Also the length of the rectangle is: 24 cm.
Let b be the breadth of the rectangle.
We know that the perimeter of rectangle is given by the formula:
[tex]Perimeter=2(l+b)[/tex]
where l is the length of the rectangle and b is the breadth of the rectangle.
Here we have: l=24 cm
Hence,
[tex]76=2(24+b)\\\\i.e.\\\\24+b=\dfrac{76}{2}\\\\i.e.\\\\24+b=38\\\\i.e.\\\\b=38-24\\\\i.e.\\\\b=14\ cm[/tex]
Hence, the radius of the cylinder is: 14 cm.25=2y-5 solve the equation for y
What’s 36/1000 (fraction) Simplified
What’s 506/1000 simplified (fraction)
Solve for x. The triangles in each pair are similar.
Gas is $2.09 per gallon; how much will it cost to get 10 gallons of gas?
$20.90
$12.09
$7.91
$4.10
X(X^2+4)(X-1) as a sum of monomials in standard form
Each small square on the grid is 1 ft².
Which estimate best describes the area of this figure?
25 ft²
35 ft²
50 ft²
65 ft²
Answer:
50 ft²
Step-by-step explanation:
As you can see the polygon on the grid is not a regular polygon, so to calculate the area would be very complicated without having the right tools, what we can doo is to draw a squre that covers the whole height but not the total length, that way we can take a close estimate of the area, the closest square that can be formed would be a 6x9 square, and the estimated area would be 54, that would be the maximun area, so the answer would be 50 squared feet.
The table shows the time a patient spends at the dentist and the amount of the bill.
What is the correlation coefficient for the data in the table?
–0.93
–0.27
0.27
0.93
Answer-
Correlation coefficient for the data in the table was found to be 0.93.
Solution-
Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.
We know that,
[tex]r=\frac{n(\sum xy)-\sum x \sum y}{\sqrt{[n\sum x^{2} -({\sum x})^{2}]\times [n\sum y^{2} -({\sum y})^{2}]}}[/tex]
Calculating the values from the table, then putting it in the formula
[tex]r=\frac{4 \times 3130.9 \ - \ 6.45 \times 1473}{\sqrt{[4\times 12.3725 \ - \ 6.45^{2}][4 \times 877475 \ - \ 1473^2]}}[/tex]
[tex]\Rightarrow r=0.929720561 \approx 0.93[/tex]
∴ Correlation coefficient for the data is 0.93.
The correlation coefficient for the data in the table would be 0.93. So, the correct option is A.
What is the correlation coefficient?The correlation coefficient is used to measure the strong relationship between the two variables.
It is given that the first column is labeled time spent at the dentist (in hours) with entries 1.4, 2.7, 0.75, and 1.6.
The second column is labeled bill amount (in dollars) with entries 235, 867, 156, and 215.
The numbers between -1 and 1 should be one of the values related to the bill amount.
By assuming the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable as the amount of the bill.
Hence, The correlation coefficient for the data in the table was found to be 0.93.
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Karl participated in a two-day charity walk. His parents donated money for each mile he walked. Karl walked 3 1/4 miles on the first day and 5 1/2 miles on the second day. His parents donated $175. How much money did his parents pay for each mile
Which line on the graph below has a slope of zero?
if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes.
A polynomial expression is shown below.
(mx³ + 3)(2x² + 5x + 2) - (8x⁵ + 20x⁴)
The expression is simplified to 8x³ + 6x² + 15x + 6. What is the value of m?
The value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.
What is the simplified form of a equation?Simplified form of an equation is the simplest way of expression the equation, which is obtained by applying the required operations of mathematics.
A polynomial expression is shown below.
[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)[/tex]
The expression is simplified to the following expression,
[tex]8x^3 + 6x^2 + 15x + 6[/tex]
As the equation is a simplified expression of the given polynomial. Thus, both the equation are same.
[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)=8x^3 + 6x^2 + 15x + 6[/tex]
Open the brackets and simplify it further,
[tex]2mx^5+5mx^4+2mx^3+6x^2+15x+6-8x^5-20x^4=8x^3 + 6x^2 + 15x + 6\\2mx^5+5mx^4+2mx^3=8x^3+6x^2+15x+6-6x^2-15x-6+ 8x^5+20x^4\\m(2x^5+5x^4+2x^3)= 8x^5+20x^4+8x^3 \\m(2x^5+5x^4+2x^3)=4(2x^5+5x^4+2x^3)[/tex]
On comparing both side of the equation, the value of m we get is,
[tex]m=4[/tex]
Thus, the value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.
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Alice and Brian have cookies in a ratio of 4:3. Brian and Cori have cookies in a ratio of 6:4. What is the ratio of Alice’s cookies to Cori’s cookies?
4:4
Alice and Cori have the same amount of cookies
the temperature on monday was -1.5°C. The temperature on Tuesday was 2.6°C less than the temperature on Monday.what was the temperature on Tuesday?
Two cars start at the same time, but travel in opposite directions. One car's average speed is 30 miles per hour (mph). At the end of 4 hours, the two cars are 400 miles apart. Find the average speed in mph of the other car.
Final answer:
The average speed of the second car is calculated by subtracting the distance traveled by the first car from the total distance after both cars have traveled in opposite directions for the same amount of time. The second car's average speed is found to be 70 mph.
Explanation:
To find the average speed of the second car, we first need to establish the total distance covered by both cars. Since they are moving in opposite directions, we can add their distances together to determine the total distance.
Let's designate the distance the first car travels as D1 and the distance the second car travels as D2. The average speed of the first car is given as 30 mph, and both cars travel for 4 hours. Therefore, D1 can be calculated as follows:
D1 = average speed of first car × time = 30 mph × 4 h = 120 miles
Since we know that the combined distance D1 + D2 is 400 miles, we can find D2 by subtracting D1 from the total distance:
D2 = total distance - D1 = 400 miles - 120 miles = 280 miles
Now, to find the average speed of the second car, we divide D2 by the time, which is 4 hours:
Average speed of the second car = D2 / time = 280 miles / 4 h = 70 mph
Therefore, the average speed of the second car is 70 mph.
A softball is thrown straight up, reaching a maximum height of 20 meters, what is the ball's approximate vertical speed when it hits the ground?
Velocity is the rate of change of distance over time.
The ball's approximate vertical speed when it hits the ground is 19.8m/s
The maximum height of an object, thrown up is calculated as:
[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]
Where:
[tex]\mathbf{h_{max} = 20m}[/tex] --- the maximum height
[tex]\mathbf{v = ??}[/tex] --- final velocity
[tex]\mathbf{g = 9.8ms^{-2}}[/tex] --- acceleration due to gravity
So, we have:
[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]
[tex]\mathbf{20 = \frac{v^2}{2 \times 9.8}}[/tex]
Solve for v^2
[tex]\mathbf{v^2 = 2 \times 9.8 \times 20}[/tex]
[tex]\mathbf{v^2 = 392}[/tex]
Take square roots of both sides
[tex]\mathbf{v = 19.8ms^{-1}}[/tex]
Hence, the ball's approximate vertical speed when it hits the ground is 19.8m/s
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When a softball is thrown straight up and reaches a maximum height of 20 meters, the approximate vertical speed when it hits the ground can be determined by taking into account the initial vertical velocity and the time it takes to reach the maximum height and fall back down. Using the given information, the initial vertical velocity is calculated using the equation v0y = sqrt(2gh), where g is the acceleration due to gravity and h is the maximum height. Substituting the values, the approximate vertical speed is 19.80 m/s.
Explanation:When a softball is thrown straight up and reaches a maximum height of 20 meters, its approximate vertical speed when it hits the ground can be determined using the principles of projectile motion. The vertical speed of the ball when it hits the ground can be calculated by taking into account the initial vertical velocity and the time it takes for the ball to reach its maximum height and then fall back down. In this case, since the ball is thrown straight up, the vertical speed when it hits the ground will be equal to the initial vertical speed.
Using the given information, we know that the ball reaches a maximum height of 20 meters. We can calculate the time it takes for the ball to reach this height using the equation for vertical displacement:
h = v0yt + (1/2)gt2
Where:
h is the vertical displacement (20 meters in this case)v0y is the initial vertical velocity (which we need to find)t is the time it takes to reach the maximum heightg is the acceleration due to gravity (approximately 9.8 m/s2)Since we know the maximum height and the acceleration due to gravity, we can rearrange the equation to solve for the initial vertical velocity:
v0y = sqrt(2gh)
where:
sqrt represents the square rootg is the acceleration due to gravity (approximately 9.8 m/s2)h is the maximum height (20 meters in this case)Substituting the values into the equation, we get:
v0y = sqrt(2 * 9.8 * 20)
Simplifying further:
v0y = sqrt(392)
v0y ≈ 19.80 m/s
Therefore, the approximate vertical speed of the ball when it hits the ground is 19.80 m/s.
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which side correspond to TA
Answer:
The correct option is 3.
Step-by-step explanation:
In ΔACT and ΔDGO.
[tex]\angle A=\angle D[/tex] (Given)
[tex]\angle AC=\angle DG[/tex] (Given)
[tex]\angle C=\angle G[/tex] (Given)
By ASA property of congruent triangles.
[tex]\triangle ACT\cong \triangle DGO[/tex]
The congruent part of congruent triangles are congruent.
[tex]TA=OD[/tex] (CPCTC)
The side TA is corresponding to OD.
Therefore the correct option is 3.
Ivan has a piece of lumber 104 inches long. He is sawing it into 12-inch lengths to make fence posts. He says he can get about 9 fence posts out of the board.
10 questions very simple. Lots of points.
1 Simplify the given equation.
5x + 2(x - 3) = -2(x - 1)
a. 7x - 6 = -2x + 2
b. 7x - 3 = -2x - 1
2 Solve for x.
3(x + 2) = 12
a. x = 2
b. x = 3 1/3
c. x = 4 2/3
3 Solve for x.
7(x + 1) = 21
a. x = 2
b. x = 20/7
c. x = 4
4 Solve for x.
4(x + 2) = 48
a. x = 7 1/2
b. x = 10
c. x = 14
5 Solve for x.
13(x - 3) = 39
a. x = 1
b. x = 4
c. x = 6
6 Solve for x.
5(x + 1) = 4(x + 8)
a. x = 7
b. x = 27
c. x = 37
7 Solve for x.
7(x + 2) = 6(x + 5)
a. x = -16
b. x = 16
c. x = 44
8 Solve for x.
3(x + 2) + 4(x - 5) = 10
a. x = 36/7
b. x = 24/7
c. x = 16/7
9 Solve for x.
7(x - 3) + 3(4 - x) = -8
a. x = 1/4
b. x = 25/10
c. x = -41/10
10 Solve for x.
7(3 - x) = 8(4 - 2x)
a. x = -5/9
b. x = 11/23
c. x = 11/9
see attached picture for the answers:
At a car repair shop, the cost of repair depends on the time the mechanic works. Which of the following shows this idea in function notation?
Pleas show all work.
A. number of cars (time)
B. time(cost)
C. time(number of cars)
D. cost(time)
A skydiver jumps out of an airplane. After 0.8 seconds, she has fallen 100 feet. After 3.1 seconds, she has fallen 500 feet. Emtiaz says that the skydiver should fall about 187.5 feet in 1.5 seconds. Is his answer reasonable? Explain.
Charlie made four out of 23 free-throw shots. What percentage of shots does he make? Round to the nearest whole number
Jennifer has 3 1/2 cups of jelly beans to share with 7 friends how many cups does each person get