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2 years ago

Every 2.5 hours, a machine produces 150 baskets.

Mathematics

1 answer:

drek231 [11]2 years ago

7 0

Answer:

Step-by-step explanation:

We use unit rate function,

Let h be hours

Let b be baskets

2.5h = 150b

We divide both sides by 2.5

2.5h/2.5 = 150b/2.5

Which will give us

h = 60

You might be interested in

Last year 500 people attended a concert this year 900 people attended what was the percent increase in attendance from last year

IRISSAK [1]

Answer:

Step-by-step explanation:

500 to 900? = 80.

6 0

3 years ago

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la

Minchanka [31]

The exponential function which represented by the values in the table is $f(x)=4(\frac{1}{2})^{x}$ ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is $f(x)=a(b)^{x}$ , where

a is the initial value (when x = 0)
b is the growth/decay factor
If k > 1, then it is a growth factor
If 0 < k < 1, then it is a decay factor

The table:

→ x : f(x)

→ -2 : 16

→ -1 : 8

→ 0 : 4

→ 1 : 2

→ 2 : 1

∵ $f(x)=a(b)^{x}$

- To find the exponential function substitute the value of x and f(x)

by some values from the table to find a and b, at first use the

point (0 , 4) to find the value of a

∵ x = 0 and f(x) = 4

∴ $4=a(b)^{0}$

- Remember that any number to the power of zero equal 1

except the zero

∵ $b^{0}=1$

∴ 4 = a(1)

∴ a = 4

Substitute the value of a in the equation

∴ $f(x)=4(b)^{x}$

- Chose any other point fro the table to find b, lets take (1 , 2)

∵ x = 1 and f(x) = 2

∴ $2=4(b)^{1}$

∴ 2 = 4 b

- Divide both sides by 4

∴ $b=\frac{2}{4}=\frac{1}{2}$

- Substitute the value of b in the equation

∴ $f(x)=4(\frac{1}{2})^{x}$

The exponential function which represented by the values in the table is $f(x)=4(\frac{1}{2})^{x}$

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0

3 years ago

Read 2 more answers

The question is in the picture

Fudgin [204]

Answer:

(x) = 1/2x-3/2

Step-by-step explanation:

The inverse is the opposite of the equation given in this case is 2x+3 and the inverse is when you switch the x and the y and you solve for y.

4 0

3 years ago

Describe the key features of the graph of the quadratic function f(x) = x2 - 8x - 20

Zolol [24]

If f(x)=x^2-8x-20 then

dy/dx=2x-8 and d2y/dx2=2

A) Since acceleration is a constant positive the parabola opens upward.

B) Since acceleration is a constant positive the parabola will have a vertex at an absolute minimum

C) The vertex will occur when dy/dx=0, 2x-8=0, 2x=8, x=4

So the axis of symmetry is the vertical line x=4.

The vertex is y(4)=-36, corresponding to the vertex point (4,-36)

The y-intercept occurs when x=0, y(0)=-20, so the y-intercept is the point (0,-20)

7 0

3 years ago

J.c. Penny sells a timed watch for $139.99 that cost$89.97. J.C. Penny’s percent of markup based on the selling price is:

vodka [1.7K]

So it cost them 89.97 and they're selling it for 139.99, the difference is 50.02.

so, the markup is 50.02, if we take 89.97 to be the 100%, how much is 50.02 off of that in percentage?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
89.97&100\\
50.02&p
\end{array}\implies\cfrac{89.97}{50.02}=\cfrac{100}{p}\implies p=\cfrac{50.02\cdot 100}{89.97}$

5 0

3 years ago