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3 years ago

Provide in simplest form 12% of 40

1 answer:

7 0

To get 10% of 40, you move the decimal point one way to the left. So 10% of 40 is 4
Now you need 2% and because you know 10% is 4, you divide that by 10 and multiply it by 2 because of the 2%
4/10=.4 .4•2=.8
Now you add them
4+.8=4.8
12% of 40 is 4.8

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What’s 14/20 - 81/90

Leni [432]

Answer: -1/5

Step-by-step explanation:

14/20 - 81/90=

7/10-9/10= ==> 10 is the GCF of 20 and 90

(7-9)/10=

-2/10=-1/5

3 0

1 year ago

Read 2 more answers

The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

3 years ago

Ms. Steven creates a drawing in her kitchen. Her drawing is 7cm in length and 4cm in width. The scale on the drawing is 1cm = 3f

marysya [2.9K]

Answer:

7cm=7×3ft=21ft

4cm=4×3ft=12ft

here

length=21ft

breadth=12ft

now

area= l×b

=21ft×12ft

=252ft^2

6 0

3 years ago

Read 2 more answers

Can anyone help me with this? I know that angle B is 90°

sergey [27]

Answer:

angle c is 58 degrees and and angle a is 42 degrees

Step-by-step explanation:

3 0

2 years ago

A data set contains information on the grams of fat and number of calories in 28 different fast foods. The correlation coefficie

k0ka [10]

Using a calculator, it is found that for the two-tailed test of significance, the p-value is of 0.9195.

The correlation coefficient is also called <u>Pearson's r-score</u>, and is used for two-tailed tests. To find the p-value, the information needed is:

The value of the Pearson's r-score, that is, the value of the correlation coefficients.
The sample size.

In this problem, we have that the correlation coefficient is of r = 0.02, with a sample size of n = 28.

Using it as the input for a r-score calculator, the p-value is of 0.9195.

A similar problem is given at brainly.com/question/13873630

6 0

2 years ago