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vova2212 [387]
2 years ago
7

5)

Mathematics
1 answer:
notsponge [240]2 years ago
4 0

Answer:

fff

Step-by-step explanation:

bbb

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An artist is painting a flower pot that each require 1/34 gallons of paint what is the maximum numbers of flowerpots the artist
lara [203]

Answer:

C

Step-by-step explanation:

Hello There!

We can easily calculate the amount of flower pots he can paint by dividing the amount of paint he has by how much paint each flower pot requires

\frac{.75}{\frac{1}{34} } =25.5

The closest number is 24 therefore your answer is C

8 0
3 years ago
A researcher collects data on the number of times race horses are raced during their careers. The veterinarian finds that the av
vesna_86 [32]

Answer:

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

Step-by-step explanation:

<u>Explanation</u>:-

The veterinarian finds that the average number of races a horse enters is 15.3

The mean of the sample x⁻ = 15.3

Given standard deviation of the sample 'S' = 6.8

Given sample size 'n' = 25

Degrees of freedom = n-1 =25-1 =24

The tabulated value 't' = 2.064 at two tailed test 0.95 level of significance

<u> 95% confidence for µ, the average number of times a horse races</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +  t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u></u>(15.3- 2.064 \frac{6.8}{\sqrt{25} } , 15.3 +  2.064\frac{6.8}{\sqrt{25} } )<u></u>

(15.3 - 2.80704 ,15.3 +2.80704)

(12.493 , 18.107)

<u>Conclusion</u>:-

95% confidence for µ, the average number of times a horse races

(12.493 , 18.107)

3 0
3 years ago
What does it mean when two equations are graphed and they produce the same line
densk [106]
Graphing two equations that produces the same line is called Infinite Solutions.
4 0
3 years ago
Read 2 more answers
10 points please help with calculus HW
Dafna1 [17]

a. The equation of the tangent at (1,3) is y = -x/3 + 10/3

b. The equation of the normal at (1,3) is y = 3x

c. Find the graph in the attachment

<h3>a. How to find the equation of the tangent at (1, 3)?</h3>

Since x² + y² = 10, we differentiate the equation with respect to x to find dy/dx which the the equation of the tangent.

So, x² + y² = 10

d(x² + y²)/dx = d10/dx

dx²/dx + dy²/dx = 0

2x + 2ydy/dx = 0

2ydy/dx = -2x

dy/dx = -2x/2y

dy/dx = -x/y

At (1,3), dy/dx = -1/3

Using the equation of a straight line in slope-point form, we have

m = (y - y₁)/(x - x₁) where

  • m = gradient of the tangent = dy/dx at (1,3) = -1/3 and
  • (x₁, y₁) = (1,3)

So, m = (y - y₁)/(x - x₁)

-1/3 = (y - 3)/(x - 1)

-(x - 1) = 3(y - 3)

-x + 1 = 3y - 9

3y = -x + 1 + 9

3y = -x + 10

3y + x = 10

y = -x/3 + 10/3

So, the equation of the tangent at (1,3) is y = -x/3 + 10/3

<h3>b. The equation of the normal at the point (1, 3)</h3>

Since the tangent and normal line are perpendicular at the point, for two perpendicular line,

mm' = -1 where

  • m = gradient of tangent = -1/3 and
  • m' = gradient of normal

So, m' = -1/m

= -1/(-1/3)

= 3

Using the equation of a straight line in slope-point form, we have

m' = (y - y₁)/(x - x₁) where

  • m' = gradient of normal at (1, 3)  and (
  • x₁, y₁) = (1,3)

So, m = (y - y₁)/(x - x₁)

3 = (y - 3)/(x - 1)

3(x - 1) = (y - 3)

3x - 3 = y - 3

y = 3x - 3 + 3

y = 3x + 0

y = 3x

So, the equation of the normal at (1,3) is y = 3x

c. Find the graph in the attachment

Learn more about equation of tangent and normal here:

brainly.com/question/7252502

#SPJ1

4 0
2 years ago
Ryan is looking for the sum of the cube of a number, n, and 16.
Paraphin [41]

Answer:

24

Step-by-step explanation:

Changing the word problem into an equation you get that you are trying to find n^3+16. This is because they are looking for the cube of a number n plus 16. Plugging in n as 2 you get 2^3+16 which is 8+16 which is 24.

7 0
3 years ago
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