13.
You are given that tan θ= 1 / √3.
First, find the value of θ.

Answer:

x = -0.4

Step-by-step explanation:

An approximate equation for the line of best fit is y-hat = 0.018x - 24.5111.

A linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111 where

y-hat is the predicted value for the recorded weight gain (in pounds)

x is the additional daily caloric intake.

b) The pony's additional calorie intake increases, the weight gain also increases in pounds

c) Set x equal to 2300 and solve for y-hat:

y-hat = 0.018x - 24.5111

y-hat = 0.018(2300) - 24.5111

y-hat = 41.4 - 24.5111

y-hat = 16.8889

Therefore, the predicted value for the weight gain based on an additional 2300 calorie intake is 16.9 pounds.

Learn more about equation on:

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Answer:

The surface area of the sphere is = [tex]99426.41 yd^2[/tex]

Step-by-step explanation:

The area of a sphere can be calculated using this formula:

[tex]A=4\pi r^2[/tex]

However, we have a little problem: we do not have our radius yet to utilize in the formula above.

We can get our radius from the circumference of the circle which has been given to us.

circumference = [tex]2 \times \pi \times r[/tex]

[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]

We now have our radius. we can input it into equation 1 above

The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]

Answer:

280 minutes

Step-by-step explanation:

Given that :

Daily dog walk routine :

Minutes walked in the morning = 15

Minutes walked in the afternoon = 25

Number of days per week = 7

The number of minutes Theo walks dog per week :

Number of days per week * (minutes walked in the morning + minutes walked in the afternoon)

7 * (15 + 25)

7 * (40)

= 280 minutes

Answer:

7／20

Step-by-step explanation:

[tex]0.35 = \frac{35}{100} = \frac{7}{20} [/tex]

Answer:

Step-by-step explanation:

Hello Dear!!!!

Here's your answer...

x=0.353535...

this is equation 1

multiply with 100

100x = 35.353535...

this is equation 2

equation 2 - equation 1

100x = 35.3535...

     x =    0.3535...

________________

99x = 35

x = 35/99

35/99 is the answer....

________________________________________

HOPE THIS HELPS YOU...

Answer:

y < 4/3x - 2

Step-by-step explanation:

Another way to find slope is to subtract  [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.

We subtract the y-value 2 from -6.

2 - - 6 can also be taken as 2 + 6.

2 + 6 = 8.

Then, subtract the x-values.

Subtract 3 - -3, or 3 +3.

3 + 3 = 6.

Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].

Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)

The shading is on the left side and the line is dotted, so our sign is <.

The inequality is y < 4/3x -2.

Answer:

1 1/8

Step-by-step explanation:

3x+y=163 2x+3y=174

it should be like this {: and each point is one.

Answer: 6??

Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)

Answer:

The distance will be √(x2-x1)^2+(y2-y1)^2

=√(5-5)^2+(10-4)^2

=√(0)^2+(6)^2

=√(6)^2

=6 units

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required lengths are not given.

I will use the following data set to answer the question.

[tex]Dataset: 35, 51, 39, 42, 68, 62, 32, 59[/tex]

First, is to determine the range of the dataset

[tex]Range = Highest - Least[/tex]

[tex]Range = 68 - 32[/tex]

[tex]Range = 36[/tex]

Next, we will make use of 4 classes. So, we divide range by 10 to get the number of class. 10 represents the interval

[tex]Class= Range/10[/tex]

[tex]Class = 36/10[/tex]

[tex]Class = 3.6[/tex]

[tex]Class \approx 4[/tex]

So, we use 4 classes

Plot the frequency distribution table as follows:

[tex]\begin{array}{ccc}{Intervals} & {Observations} & {Frequency} & {31-40} & {32,35,39} & {3} & {41-50} & {42} & {1} & {51-60} & {51,59} & {2} & {61-70} & {62,68} & {2}\ \end{array}[/tex]

See attachment for histogram

Correct Question:

At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?

1. p = 5d  

2. d = p + 5

3. d = 5p

Answer:

3. d = 5p

Step-by-step explanation:

As one plate of cookies price is 5 $

The d is expressed as numbers of dollars which are earned.

Earnings = d = 5 x number of plates sold (p)

therefore

d = 5p

Answer:

d+p5

Step-by-step explanation:

Answer:

length 60 feet

length 2=60 feet

width 1=30feet

width 2=30feet

those is because there is 4 sides to a rectangle

Step-by-step explanation:

because the length is twice the width, 2x 30=length

Question

what does x = ?

please please help

5x(2x+20)= 90

10x=90-20

10x=70

x=70/10

x=7

plz give brainliest +thanks

Answer:

10°

Step-by-step explanation:

5x + 2x + 20° = 90° { Being complementary angles }

7x = 90° - 20°

7x = 70°

x = 70° / 7

x = 10°

Hope it will help :)❤

Answer:

the area of the 2in. one is 4in.²

the area of the 3in. one is 9in.²

the area of the 6in. one is 36in.²

Step-by-step explanation:

the formula for area of a square is a²

Answer:

Step-by-step explanation:

A=2πrh+2πr2

Putting values

2(22/7)(4)(11) + 2(22/7)(4)^2

= 376.8cm^2

Option C is the correct answer

Answer:

2/4 (simplified: 1/2)

Step-by-step explanation:

The formula for volume of rectangular prism is length · width ·

height.

In other words, multiply all of the sides together.

2 · 1 · 1/4 = 2/4.

Therefore, the volume of this rectangular prism is 2/4.

Answer:

b

please correct if wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

it would be 67108864

Answer:

[tex]4^{13}[/tex]

Step-by-step explanation:

In exponents multiplication, if base are same , add the powers

[tex]a^{m}*a^{n} = a^{m+n}\\[/tex]

[tex]4^{6}*4^{7}= 4^{6+7} = 4^{13}[/tex]

Answer:

61.5°

Step-by-step explanation:

The triangle is isosceles , the radii are congruent , then the 2 base angles are congruent.

The vertex = 360° - 303° = 57

shaded angle = [tex]\frac{180-57}{2}[/tex] = [tex]\frac{123}{2}[/tex] = 61.5°

Answer:

$ 3.00

Step-by-step explanation:

1 pound = 16 ounces

2 pounds will cost 32 ounces

2 x $ 1.50

= $ 3.00

Answer:

5) 1/19x^6

6) 14a^3

7) 3/8

8) (3)/4s^3 r^8

Step-by-step explanation:

(-) exponents flip it to the other side of the bar

x^-6 = 1/x^6

With positive exponents, the exponent with the lower power subtracts from the higher power

Answer:

K = -50

Step-by-step explanation:

0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.

Answer:

Step-by-step explanation:

0.8 k - 20 = -60

0.8k = -60 + 20

0.8k = -0

k = [tex]\frac{-40}{0.8}[/tex]

k = -50

Answer:

B)1,200

Step-by-step explanation:

If you add up the close at 10pm numbers you get 60. Since the total number of people surveyed was 200 and the question asks if there were 4,000 you would divide 4,000 by 200 and you would get 20. Then you should multiply 60 by 20.

Answer:

Dave and Anna:

1. Income highlight:

combined take home pay of $900/week

Total income: 4(900) - because 4 weeks in most months = $3600

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

2. Expense highlights:

bi-weekly mortgage of $675

property taxes of $1800

Car expenses $160

Car insurance: $128

House insurance: $35

Saving for kids: $200

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

Expense calculations:

Mortgage bi-weekly = 675 x 2 = $1350/month

Property taxes = 1800/12 months/year = 150/month

everything else is already monthly

1350 + 150 + 160 + 128 + 35 + 200 = 2,023

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

income - expenses

$3600 - 2023 = $1,577 surplus

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

Jacob:

Income highlights:

Canada Pension Plan $848/month

Old Age Security: $484/month

Total income: $1332

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

Expense highlights:

property tax: $3000/yr = $250/month

burial expenses: $100/month (for 6 more months)

golfing: $500/year = $41.67/month

bowling: $100/year = $8.33/month

Total expenses: 250 + 100 + 41.67 + 8.33 = 400

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

Income - expenses:

1332 - 400 = $932 surplus

Answer:

$2772

Step-by-step explanation:

Given data

Principal= $8400

Rate= 5.5%

Time= 6 years

The expression for the simple interest on the loan is found using the expression below

SI= PRT/100

substitute

SI= 8400*5.5*6/100

SI= 277200/100

SI= $2772

Hence the simple interest is  $2772

Answer:The answer is actually 3,182.28

Step-by-step explanation: