create a function and explain why it is a function using academic vocabulary (input ,output, mapping, vertical line test and function (​

Answer:

2.12 seconds

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 15t + 40[/tex]

Required

Determine how long the ball hits the ground

When the ball hits the ground means that [tex]h(t) = 0[/tex]

So, we have that:

[tex]h(t) = -16t^2 + 15t + 40[/tex] becomes

[tex]0 = -16t^2 + 15t + 40[/tex]

Reorder

[tex]-16t^2 + 15t + 40 = 0[/tex]

Multiply through by -1

[tex]16t^2 - 15t - 40 = 0[/tex]

Solve using quadratic:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16[/tex] [tex]b = -15[/tex] [tex]c = -40[/tex]

So, we have:

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex] becomes

[tex]t = \frac{-(-15)\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]

[tex]t = \frac{15\±\sqrt{(-15)^2 - 4*16*-40}}{2*16}[/tex]

[tex]t = \frac{15\±\sqrt{225 +2560}}{32}[/tex]

[tex]t = \frac{15\±\sqrt{2785}}{32}[/tex]

[tex]t = \frac{15\±52.77}{32}[/tex]

Split:

[tex]t = \frac{15+52.77}{32}[/tex] or [tex]t = \frac{15-52.77}{32}[/tex]

[tex]t = \frac{67.77}{32}[/tex] or [tex]t = \frac{-37.77}{32}[/tex]

[tex]t = 2.12[/tex] or [tex]t = -1.18[/tex]

But time can't be negative

So:

[tex]t = 2.12[/tex]

Hence, time to hit the ground is 2.12 seconds

Answer: D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour

Step-by-step explanation:

First find the cost of making a kg of Baking flour.

Assume that x kgs of bleached flour and y kgs of unbleached flour make a kg of Baking flour.

The formulas would be;

x + y = 1

5.75x + 1.45y = 4.05

x = 1 - y

5.75 ( 1 - y) + 1.45y = 4.05

5.75 - 5.75y + 1.45y = 4.05

5.75 - 4.3y = 4.05

4.3y = 5.75 - 4.05

4.3y = 1.7

y = 1.7/4.3

y = 0.395 kg

x = 1 - 0.395

= 0.605kg

To make 1kg of Baking flour, 0.605kg of bleached flour and 0.395kg of unbleached flour is required.

To make 17.2kg of Baking flour;

Bleached flour = 0.605 * 17.2 = 10.4kg

Unbleached flour = 0.395 * 17.2 = 6.8 kg

Answer:

Its A

Step-by-step explanation:

Trust me

Answer:

a

Step-by-step explanation:

Answer:

I believe it would be an acute triangle.

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

Learn more: brainly.com/question/24169758

Answer:

A) Assoicative Property of multiplication

Step-by-step explanation:

For associative prop., the order stay the same but the () move.

Answer:

14

Step-by-step explanation:

If he has a total of 24

and he just purchased 10

24-10= 14

Answer:

4(9a+5)

Step-by-step explanation:

Answer:

4(9a+5)

Step-by-step explanation:

Their common factor is 4 so divide both by 4 and put it in parentheses times 4  

Answer:

Alto was 4.75 meters under the water, or -4.75.

Step-by-step explanation:

Alto dove 9 meters and then 15 meters. We can add those two which is 24 meters. Then she rose 19 and 1/4, so we have to subtract that from 24.

I hope this helped, and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

Carmen has the largest red to green apple ratio.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

here, we have,

from the given chart , we get,

the  ratio as,

Carmen= 20:12

            =1.6

Dylan = 12:10

          =1.2

Eli = 16:20

    =0.8

now, we have,

Carmen has the largest red to green apple ratio.

This is because his red to green apple ratio is equal to 1.6.

In order to determine that you take 20 and divide it by 12.

To learn more on ratio click:

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Answer:

7/c

Step-by-step explanation:

7 divide by c is the same as 7/c

Answer:

i think that its D

Step-by-step explanation:

hopes this helps

Answer:

-12164.91462:)

Step-by-step explanation:

Solution of the three expressions;

1). -12.48-(-2.99)-5.62 = -15.11

2). -353.92-(-283.56)-131.29 = -201.65

3). 831 / 106 (92) = 0.0852 (rounded to four decimal places)

When resolving expressions containing several operations, the procedure to follow is denoted by the acronym PEMDAS. "Parenthesis," "exponents," "multiplication," "division," "addition," and "subtraction" are all represented by the letters P through E.

1). -12.48-(-2.99)-5.62

= -12.48 + 2.99 - 5.62 (double negative becomes positive)

= -15.11

Therefore, -12.48-(-2.99)-5.62 equals -15.11.

2). -353.92-(-283.56)-131.29

= -353.92 + 283.56 - 131.29 (double negative becomes positive)

= -70.36 - 131.29

= -201.65

Therefore, -353.92-(-283.56)-131.29 equals -201.65.

3). 831 / 106 (92)

This expression involves multiplication and division, and the order of operations (PEMDAS) tells us to perform the multiplication before the division. So we have:

= 831 / (106 x 92)

= 831 / 9736

= 0.0852 (rounded to four decimal places)

Therefore, 831 / 106 (92) equals 0.0852.

To learn more about the PEMDAS;

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The complete question:

Find the solution to the expressions given below;

1). -12.48-(-2.99)-5.62

2). -353.92-(-283.56)-131.29

3). 831 / 106 (92)

Slope formula - y = mx + b

6x + 2y = 10

subtract x

2y = 10 - 6x

divide all by 2

y = 5 - 3x

y = -3x + 5

5 is the y-intercept, and -3x is the slope

hope this helps :)

Answer:

300:500

Step-by-step explanation:

If there are 200 left handed gloves, then there are 300 right handed gloves.

The total amount of gloves is 500, so its 300:500.

I have shoot it . so, hope this help u.

Answer:

hope this helps, happy learning!!!

Answer:

y = x + 5

Step-by-step explanation:

The standard form of the slope-intercept is

y = mx + b

where m is the slope

According to this question, the slope is 1 for the given equation

If two lines are parallel, they have equal slopes

So the slope of the line we are trying to get is 1

We can now use the point-slope form to get the equation of the second line

Mathematically, that will be

y-y1 = m(x-x1)

where m is slope and (x1,x2) are the points given

So therefore;

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

y-3 = x + 2

y = x + 5

70 percent is c.f(x)=-3/5x+8

Answer:

1. 2

2. 2/8 or 1/4 simplified

3. 5hrs

Hope I helped!

Answer:

160

Step-by-step explanation:

Just divide 1920 into 12

Answer:

-9

Step-by-step explanation:

x + 109 + x + 89 = 180° because these angles are supplementary

2x + 198 = 180 subtract 198 from both sides

2x = - 18 divide by 2

x = -9

Answer:

(1.5×5) + (2.5×4)

Step-by-step explanation:

if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D

Answer:

down

Step-by-step explanation:

are there options

Answer:

1/4 equal pieces

Step-by-step explanation:

Total number of bowls of rice = 3

We are seeking servings of size 12

Then it means we are dividing 3bowls into 12 equal pieces

= 3/12 bowls

= 1/4 equal pieces

Which means each member of the family is getting 1/4 each of the bowl of rice

Therefore, 1/4 servings of size 12 can you make out of the 3 bowls of rice

Answer:

Step-by-step explanation:

I = prt

I = 800 × 1.8% x 15

I = $216

Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!

Hope this helps, please mark as brainliest! :)

Answer: it is either C or D

Step-by-step explanation:but  It looks like its D

Answer:

false

Step-by-step explanation:

Answer:

False, it has no solution if the lines are parallel.

Answer:

Step-by-step explanation:

Amount of cherries left: