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3 years ago

You are paid $120 for 7.5 hours of work, what is your rate of pay per hour?

Mathematics

2 answers:

yuradex [85]3 years ago

6 0

Answer:

16 dollars per hour

Step-by-step explanation:

To find the rate of pay per hour, divide 120 by 7.5.

120 ÷ 7.5 = 16

allsm [11]3 years ago

5 0

16 dollars per hour
Step by step equation divide 120 by 7.5.
120 ➗ 7.5= 16

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Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

ioda

Rectangle (left): A = 9 x 7 = 63

Rectangle (right): A = 2 x 10 = 20

Quarter circle: A = (1/4 x 3.14 x 3^2) = 7.065

A = 63 + 20 + 70.65

A = 90.065 square feet

Hope this helps! :)

5 0

3 years ago

A population of 2000 starfish has a yearly per capita population growth rate of 0.012. By next year, how do you expect populatio

Alona [7]

Answer:

It will increase by 24 starfish

Step-by-step explanation:

The population is modeled by the following differential equation:

$\frac{dN}{dt} = rN$

Which has the following solution:

$N(t) = N(0)e^{rt}$

In which N(0) is the initial population and r is the growth rate.

A population of 2000 starfish has a yearly per capita population growth rate of 0.012.

This means that $N(0) = 2000, r = 0.012$

By next year, how do you expect population size to have changed?

This is N(1).

$N(t) = N(0)e^{rt}$

$N(1) = 2000*e^{0.012}$

$N(1) = 2024$

2024 - 2000 = 24

So the correct answer is:

It will increase by 24 starfish

4 0

4 years ago

F(x, y, z) = yzexzi + exzj + xyexzk,c: r(t) = (t2 + 4)i + (t2 − 1)j + (t2 − 2t)k, 0 ≤ t ≤ 2(a) find a function f such that f = ∇

exis [7]

$\nabla f(x,y,z)=\mathbf f(x,y,z)=yze^{xz}\,\mathbf i+e^{xz}\,\mathbf j+xye^{xz}\,\mathbf k$

$\dfrac{\partial f(x,y,z)}{\partial x}=yze^{xz}$
$\implies f(x,y,z)=\displaystyle\int yze^{xz}\,\mathrm dx=\dfrac{yz}ze^{xz}+g(y,z)$
$f(x,y,z)=ye^{xz}+g(y,z)$

$\dfrac{\partial f(x,y,z)}{\partial y}=e^{xz}=e^{xz}\dfrac{\partial g(y,z)}{\partial y}$
$\implies\dfrac{\partial g(y,z)}{\partial y}=0\implies g(y,z)=h(z)$
$f(x,y,z)=ye^{xz}+h(z)$

$\dfrac{\partial f(x,y,z)}{\partial z}=xye^{xz}=xye^{xz}+\dfrac{\partial h(z)}{\partial z}$
$\implies\dfrac{\partial h(z)}{\partial z}=0\implies h(z)=C$
$f(x,y,z)=ye^{xz}+C$

8 0

3 years ago

24 POINTS!!!!!!!!!!!!!!!!!!

4vir4ik [10]

The answer is the angles are neither complementary nor supplementary, because complementary is to add up to 90° and supplementary is to add up to 180°, and these angles add up to 169°. I hope this helps!

3 0

3 years ago

Read 2 more answers

A student performed the following steps to find the solution to the question x^2 - 2x - 15 = 0. Where did the student go wrong?

nataly862011 [7]

Answer:

D In step 3

Step-by-step explanation:

Given polynomial: x² - 2x - 15 = 0

Step 1: factor the polynomial ⇒ (x + 3)(x - 5) = 0

Step 2: x + 3 = 0 and x - 5 = 0

Step 3: x = -3 and x = 5

x - 5 = 0

Add 5 to both sides:

⇒ x - 5 + 5 = 0 + 5

⇒ x = 5

7 0

2 years ago