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3 years ago

Find the solution to the equation. n + 13 = 52

Mathematics

2 answers:

vladimir1956 [14]3 years ago

8 0

Answer:

n = 39

Step-by-step explanation:

To find what n equals, I want to get it alone on one side of the equation.

To do this, I move 13 to the right side of the equation by subtracting 13 from both sides.

13-13=0 so n is the only value on the left side

52-13=39.

You are now left with n = 39

To check that this is right, add 13 to 39. It equals 52, so you know the answer you found is correct.

kolbaska11 [484]3 years ago

5 0

Answer:

N = 39

Step-by-step explanation:

N + 13 = 52

-13. -13

N = 39

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The owner of a greenhouse and nursery is considering whether to spend $6,000 to acquire the licensing rights to grow a new varie

Mars2501 [29]

Answer:

The number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.

Step-by-step explanation:

It is provided that the owner of the a greenhouse and nursery has land available to grow 3000 and 2000 rosebushes every year.

She claims to be 80% efficient in the use of the land available.

She is considering to spend $6000 to acquire the licensing rights to grow a new variety of rosebush.

The variable cost will be $3 and she will sell the rosebushes for $6 each.

The formula to compute the number of rosebushes she plans to grow every year is,

Number of rosebushes = Effective Capacity × Efficiency

$=2000\times 80\%\\=2000\times\frac{80}{100}\\=1600$

Thus, the number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.

5 0

4 years ago

In a population of 1000 subjects, 770 possess a certain characteristic. A sample of 40 subjects selected from this population ha

GREYUIT [131]

Answer:

0.77,0.60

Step-by-step explanation:

Given that in a population of 1000 subjects, 770 possess a certain characteristic.

A sample of 40 subjects selected from this population has 24 subjects who possess the same characteristic

To find out sample proportion:

Sample size n = 40

Favourable x = 24

Sample proportion p = $\frac{24}{40} =0.60$

To find out population proportion:

Total population N = 1000

Favourable X = 770

population proportion P = $\frac{770}{1000} =0.77$

7 0

4 years ago

I am being timed pls asap

DiKsa [7]

Answer:

Writing it in matrix form

- 2 - 4 - 5 - 155

1 1 6 101

2 2 - 3 37

I hope this helps you

5 0

4 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

2 years ago

Read 2 more answers

Find the 64th term of the arithmetic sequence -4, -21, -38, ...−4,−21,−38,

lisov135 [29]

$a_{n} = a_{1} + d(n - 1)$ ; a₁ is the first term, d is the difference between terms, and n is the term

-4, -21, -38, ... ⇒ a₁ = -4, d = -17

$a_{n} = -4 - 17(n - 1)$

= -4 - 17n + 17

= 13 - 17n

$a_{64} = 13 - 17(64)$

= 13 - 1088

= 1075

Answer: 1075

5 0

3 years ago