Natalie also made a catapult, but she used stronger elastic bands than Aiden did. As a result, she was able to send her ball farther with a shorter arm length. She also varied the length of her catapult arm while measuring the horizontal distance between where the tennis ball was launched and where it landed. The table presents the data she recorded while using her catapult. Length of Catapult Arm (cm) Horizontal Distance (cm) 25 290.8 35 325.4 30 315.2 60 420 65 435.8 50 385.1 45 355 40 362 50 378.3 40 333.9 Use the graphing tool to determine the line of best fit for Natalie’s data. Question What is the equation of the line of best fit for Natalie’s data? Enter the correct answer in the box by replacing m and b in the equation. Round each number to the nearest tenth.

Answers

Answer 1

Answer:

150.6

Step-by-step explanation:

all i did was i multiplied 5.02 by 30

Answer 2

Answer: y = 3.6x + 202.6 rounded to the nearest tenth.


Related Questions

Sasha wants to compare /8 and /4 on a number line. What is the first step she should take to do this?

Answers

Answer:

Sasha has to put 4 on the number line and 8 on ther number line count how many line there is between.

Step-by-step explanation:

Answer:

Sasha has to put 4 on the number line and 8 on ther number line count how many line there is between

Step-by-step explanation:

Make a list of 6 numbers with a range of 4 no mode and a mean of 9.

its worth 100 points please help

Answers

I don’t know this one I’m sorry

lus
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income Progressive
Range ($) Tax Rate
2%
0 - 2000
2001 - 9000
5%
9001 and up
5.4%
Calculate the state income tax owed on a $60,000
per year salary.
tax = $[?]
hole dollar amount

Answers

Answer:

  $3,144

Step-by-step explanation:

Based on your tax table, the tax on an amount x over 9000 will be ...

  t(x) = 0.054(x -9000) +0.05(9000 -2000) +0.02(2000)

  = 0.054x -9000(0.054 -0.05) -2000(0.05 -0.02)

  = 0.054x -36 -60

  = 0.054x -96

Then the tax on 60,000 will be

  t(60000) = 0.054(60000) -96 = 3240 -96 = 3144

The state income tax owed on $60,000 is $3,144.

_____

Additional comment

The standard calculation can be simplified as shown above. The tax table can be reduced to ...

  [tex]t(x)=\begin{cases}0.02x,&x\le2000\\0.05x-60,&20009000\end{cases}[/tex]

need help 10. solve inequality.[tex]12c \leq 72[/tex]

Answers

Hey, here’s your answer :)

The objective function is . z=6x+4y
A. Find the value of the objective function at each corner of the graphed region.
B. Find the maximum value of the objective function.
C. Find the minimum value of the objective function.

A(2,10)
B(8,5)
C(9,4)
D(1,3)

Answers

[tex]\large\rm\color{Yellow}Answer:[/tex]

The objective function is. Z=6x+4y

A. Find the value of the objective function at each corner of the graphed region. ( 2,10)

#CarryOnLearning

MARKING AS BRAINLIEST! LAST ATTEMPT! ) show ur work

Answers

Answer:

√28 = 2√7

√40 = 2√10

√108 = 6√3

√125 = 5√5

-6√81 = -54

√80 = 4√5

3√60 = 6√15

-√200 = -10√2

4√320 = 32√5

Step-by-step explanation:

1. The largest factor that's a square in 28 is 4, so the other factor must be 7.

[tex]\sqrt{28} = \sqrt{4} * \sqrt{7} = 2\sqrt{7}[/tex]

2. The largest factor that's a square in 40 is 4, so the other factor must be 10.

[tex]\sqrt{40} = \sqrt{4} * \sqrt{10} = 2\sqrt{10}[/tex]

3. The largest factor that's a square in 108 is 36, so the other factor must be 3.

[tex]\sqrt{108} = \sqrt{36} * \sqrt{3} = 6\sqrt{3}[/tex]

4. The largest factor that's a square in 125 is 25, so the other factor must be 5.

[tex]\sqrt{125} = \sqrt{25} * \sqrt{5} = 5\sqrt{5}[/tex]

5. The square root of 81 is 9, and 9 times -6 is -54.

6. The largest factor that's a square in 80 is 16, so the other factor must be 5.

[tex]\sqrt{80} = \sqrt{16} * \sqrt{5} = 4\sqrt{5}[/tex]  

7. 3√60 is equivalent to √540 (because 60 x 9 = 540). The largest factor that's a square in 540 is 36, so the other factor must be 15.

[tex]\sqrt{540} = \sqrt{36} * \sqrt{15} = 6\sqrt{15}[/tex]

8. The largest factor that's a square in 200 is 100, so the other factor must be 2.

[tex]-\sqrt{200} = -\sqrt{100} * \sqrt{2} = -10\sqrt{2}[/tex]

9. 4√320 is equivalent to 5120 (because 320 x 16 equal 5120). The largest factor that's a square in 5120 is 1024, so the other factor must be 5.

[tex]\sqrt{5120} = \sqrt{1024} * \sqrt{5} = 32\sqrt{5}[/tex]


Jen receives $850 a week, and Sami takes in $38,000 a year. Who has the higher monthly salary, and by how much?
A Sami's monthly salary is $766.67 more than Jen's.
B. Jen's monthly salary is $766.67 more than Sami's.
C. Sami's monthly salary is $516.67 more than Jen's.
D. Jen's monthly salary is $516.67 more than Sami's.

Answers

The answer is D because if you divide how much Jen receives in a year by how many weeks are in a month than it’s more than what Sam makes in a month.

X and Y are two natural numbers. X when divided by 5 leaves a remainder A and Y when divided by 9 leaves a remainder B . What is the largest value of A+B

URGENT PLS , CORRECT ANSWER GETS BRAINLIEST

Answers

Answer:  12

Explanation:

When you divide by 5, the possible remainders are one of these numbers {0,1,2,3,4}. So it's the set of whole numbers from 0 to one less than 5.

This means the largest value of A is A = 4.

Similarly, the largest value of B is B = 8 because the possible remainders when dividing by 9 are {0,1,2,3,4,5,6,7,8}.

Therefore, the largest possible value of A+B is 4+8 = 12.

i need yall to simplify

Answers

Answer:

You cannot simplify the equation any further. There is no way to take the root of 4 from 5x/8y.

Your friend says that it is impossible for the circumcenter of a triangle to
lie outside the triangle. Is your friend correct? Explain your reasoning.

Answers

Answer:

no because he is STUPlD

Step-by-step explanation:

Answer: No, your friend isn't correct.

Step-by-step explanation: The circumcenter can lie outside triangle if it is obtuse or a right triangle.

The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity

v(x) , measured in centimeters per second.
please help

Answers

Answer:

8

20

12

Step-by-step explanation:

if you roll a fair six-sided number cube, what is the probability of rolling an eight

Answers

26/36 (72.22%)

explanation:

I had no idea what a "Fair Number Cube" was so I just looked it up

Find m∠JKL Please and thank You!

Answers

See here

JL=LM<J=<M

In ∆KLM

[tex]\\ \sf\longmapsto <L=180-(90+37)=180-127=53°[/tex]

<JLK=<MLK=53°

So <JKL=<MKL=37°

Dandy's Dandelion Wine Assembly Department started the month of August with 12,400 units in beginning work in process
inventory that were 80% complete. During the month, 48,800 units were started into production, and at the end of the month, there
were 11,900 units in ending work in process inventory that were 60% complete. For the month, the department's total materials cost
was $183,600 and its total conversion cost was $112,880. All materials are added at the beginning of the process, while conversion
costs are incurred uniformly throughout the process. What is the total cost of goods in ending work in process inventory at the end of
the month?

Answers

The total cost of the goods that are in the ending inventory will be $49980.

How to calculate the ending inventory

Reconciliation of accounts

Beginning work in progress = $12400

Started into production = $48800

Less: Closing work in progress = $11900

Units completed = $49300

Calculation of equivalent units

Units completed = $49300

Ending WIP inventory = 11900 × 60% = $7140

Total conversion cost = $56440

Total material = 49300 + 11900 = 61200

Cost per equivalent units

Material = $183600/61200 = $3.00

Conversion cost = $112880/56440 = $2.00

Calculation of cost of ending inventory

Material = 11900 × $3 = $35700

Conversion cost = 7140 × $2 = $14280

Total cost of ending inventory = $49980

In conclusion, the total cost of ending inventory is $49980.

Learn more about ending inventory on:

https://brainly.com/question/24868116

Can someone check to see if im doing this correct? Thanks!!! Look at pic

Answers

Answer:

x = 12

Step-by-step explanation:

35 and 4x + 7 form a right angle , then

4x + 7 + 35 = 90 , that is

4x + 42 = 90 ( subtract 42 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

What are the odds of not rolling a 6 on a six side

Answers

Answer:

5:1

Step-by-step explanation:

On a die, the possible outcomes are 1,2,3,4,5,6  = 6 possible outcomes

The outcomes that are not a 6 are 1,2,3,4,5 = 5 outcomes

The outcomes that a 6 can occur is 1

The odds are the ways the event can occur with the number of ways the event cannot occur.

not rolling a 6: rolling a 6

5:1

56 is what percent of 16?
Enter your answer in the box

Answers

Answer: 350%

Step-by-step explanation:

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

56

16

×

100

100

= (

56 × 100

16

) ×

1

100

=

350

100

Therefore, the answer is 350%

‼️I WILL MARK BRAINLIEST‼️

M is the midpoint of AN, A has coordinates (2,-3) and M has coordinates (5,1). Find the coordinates of N.

Answers

The coordinate of N is (8, 1)

i dont know this one to help i put brainliest for the best answer and correct one

Answers

Answer:

i think B option is right

A cylindrical soup can is 5 inches tall and contains 11.25π cubic inches of soup. What is the diameter of the can to the nearest hundredth of an inch?

Answers

Radius be rh=5inVolume=V=11.25πin^3

[tex]\\ \sf\longmapsto V=\pi r^2h[/tex]

[tex]\\ \sf\longmapsto 11.25=5\pi r^2[/tex]

[tex]\\ \sf\longmapsto 2.25=\pi r^2[/tex]

[tex]\\ \sf\longmapsto r^2=2.25/3.14=0.71[/tex]

[tex]\\ \sf\longmapsto r=\sqrt{0.71}[/tex]

[tex]\\ \sf\longmapsto r=0.84in[/tex]

Answer:

Diameter is 3.00 inches

Step-by-step explanation:

» Volume of a cylindrical soup is given a formula below:

[tex]{ \tt{volume = \pi {r}^{2} h}}[/tex]

r is radiush is height

[tex]{ \tt{11.25\pi = \pi( {r}^{2} ) \times 5}}[/tex]

» Divide either sides by 5π

[tex]{ \tt{ \frac{11.25\pi}{ \green{5\pi}} = \frac{\pi {r}^{2} \times 5}{ \green{5\pi}} }} \\ \\ { \tt{2.25 = {r}^{2} }} \\ { \tt{ \sqrt{ {r}^{2} } = \sqrt{2.25} }} \\ { \tt{r = 1.5 \: in}}[/tex]

» From identical circular formulae, diameter is twice radius:

[tex] { \boxed{ \tt{ \: diameter = 2 \times radius \: }}} \\ { \tt{d = 2 \times 1.5}} \\ { \tt{d = 3 \: inches}}[/tex]

Evaluate the expression for m = 5.

Please help meee due soon!!!!

Answers

Answer:

-12

Step-by-step explanation:

Plug in 5 for m:

[tex]\frac{-60}{m} =\frac{-60}{5}[/tex]

Solve:

[tex]\frac{-60}{5}[/tex]

[tex]=-12[/tex]

The expression is -12

Find the value of x. *

50 PTS!

5
25
5√2
50

Answers

Answer:

Option A

Step-by-step explanation:

We can solve this with the help of Pythagoras theorem.

=> (√50)² = x² + x²=> √50 x √50 = x² + x²=> 50 = 2x²=> 25 = x²=> x = 5

Hence, the value of x is 5 units.

Answer:

Answer: x is 5 units

Step-by-step explanation:

» From trigonometric ratios,

[tex]{ \tt{ \red{ \sin( \theta) = \frac{opposite}{hypotenuse} }}} \\ [/tex]

theta is 45°opposite is xhypotenuse is √50

[tex]{ \tt{ \sin(45 \degree) = \frac{x}{ \sqrt{50} } }} \\ \\ { \tt{x = \sqrt{50} \times \frac{1}{ \sqrt{2} } }} \\ \\ { \tt{x = \sqrt{ \frac{50}{2} } }} \\ \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]

Or, from pythogras theorem

[tex]{ \tt{ {a}^{2} + {b}^{2} = {c}^{2} }}[/tex]

a is x, and b is xc is √50

[tex]{ \tt{ {x}^{2} + {x}^{2} = {( \sqrt{50}) }^{2} }} \\ { \tt{2 {x}^{2} = 50 }} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{x = \sqrt{25} }} \\ { \boxed{ \tt{x = 5 \: units}}}[/tex]

What is the value of x?

Answers

Answer:

D. x = 15

Step-by-step explanation:

an equation can be formed to solve this if has same sides but enlarged:

[tex]\frac{x-6}{x-6+3} = \frac{x}{x+5}[/tex]

(x-6)(x+5) = (x)(x-3)

x²+5x-6x-30=x²-3x

x² - x² -x +3x = 30

2x = 30

x = 30/2

x = 15

Helppp it’s due in a couple minutes!!!

Answers

not my work. but found a answer key to what u need.

Solve the right triangle. Round to the nearest degree and nearest tenth of a unit.

Answers

Answer:

10.63015

10.63015

Step-by-step explanation:

c=a2+b2=82+72

Can someone help me plzzz

Answers

Answer:

Coordinates:

P: (-2, 6)Q: (6, 6)R:  (1, -6)S: (-7, -6)

Step-by-step explanation:

Image below.

Use a calculator to find the angle measure to the nearest degree for cos-1 (0.5)
45 Pts!

Answers

Step-by-step explanation:

no calculator req

cos 60 is 0.5

so cos inverse of 0.5 os 60°

[tex]\\ \tt\hookrightarrow cos^{-1}(0.5)[/tex]

[tex]\\ \tt\hookrightarrow cos^{-1}\left(\dfrac{1}{2}\right)[/tex]

[tex]\\ \tt\hookrightarrow 60°[/tex]

Fact about cosine(cos)

[tex]\\ \tt\hookrightarrow cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

Consider the number line below.


Using what you know about fractions and whole numbers on number lines, what fractions could be used to represent the whole numbers on this number line? Explain your reasoning.

Answers

Fraction on a number line is a visual mathematical representation of fractions. It is done by plotting the given fraction(s) on the number line where the section or the distance between two integers is divided into equal parts which are equal to the denominator of the given fraction.

Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. After considering the decimal placement, what is Charlie’s final answer?
0.0045
0.045
0.45
0.4545

Answers

Answer:

You would get .0045 ,The decimal point would move 4 places to the left

if each interior angle of a regular polygon measures 175 degrees. how many sides does it have

Answers

Answer:

The number of sides of the regular polygon is 72

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