Which expression is equivalent to 13-(-21)

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atroni [7]

The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds

<h3>How to determine the time the balloon is at the height?</h3>

The equation of the function is given as

h(t)= -16t^2 + 35t + 5

The above equation is a quadratic equation

When the balloon is at a height of 7 feet, we have

h(t) = 7

So, we have the following equations

h(t)= -16t^2 + 35t + 5

h(t) = 7

Next, we plot the equations on a graph (see attachment)

The equations intersect at

t = 0.059 and t = 2.129

Approximate

t = 0.1 and 2.13

Hence, the times are 0.1 seconds and 2.13 seconds

Read more about quadratic equation at

brainly.com/question/15709421

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8 0

1 year ago

If a/4 = 9/a, then<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> a - 4 = 9 - a

Anna [14]

Answer:

Option A is correct.

The given expression : $\frac{a}{4} = \frac{9}{a}$ then;

$a^2 = 36$

Step-by-step explanation:

Given the expression: $\frac{a}{4} = \frac{9}{a}$

Cross multiplication the given expression following steps are as follow;

Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction

Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.

then, set the two products equal to each other.

Using cross multiplication, on the given expression;

$\frac{a}{4} = \frac{9}{a}$

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

$\frac{a \times a}{4} = 9$

Simplify:

$\frac{a^2}{4} =9$ [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

$a^2 = 9\times 4$

Simplify:

$a^2 = 36$

Therefore, the given expression is equal to: $a^2 = 36$

6 0

3 years ago

Read 2 more answers

X intercept f(x)=(x+4)^2

natali 33 [55]

Answer:

Step-by-step explanation:

Given the function f(x)=(x+4)², <u>the x intercept occurs at f(x) = 0,</u> substituting f(x) = 0 into the given equation to get the value of x we have;

$0 = (x+4)^{2} \\$

Taking the square root of both sides

$\sqrt{(x+4})^{2} = \sqrt{0}\\ x+4 = 0\\$

Subtracting 4 from both sides of the equation

$x+4-4 = 0-4\\x = -4$

Therefore the x intercept of the equation is -4

4 0

3 years ago

What is the absolute deviation from the mean for the following values

Doss [256]

12, 20, 16, 10, 17, 9, 23, 13
1. add them all up
=120
divide by the number of numbers
120/8
=15
15 is the MAD

6 0

3 years ago

You draw one card from a? 52-card deck. then the card is replaced in the deck and the deck is? shuffled, and you draw again. fin

Solnce55 [7]

there are 4 tens in a deck so probability of picking a ten is 4/52 reduced to 1/13

there are 13 clubs in a deck, probability for that is 13/52 reduced to 1/4

probability for both is 1/13 x 1/4 = 1/52

6 0

3 years ago