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4 years ago

Let g(x) = -4x2 – 3x – 7. Find the following:

Mathematics

1 answer:

Hoochie [10]4 years ago

7 0

The answer is D 3 hope this can help you

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The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the densit

expeople1 [14]

Answer:

Option d - 204 m

Step-by-step explanation:

Given : The atmospheric pressures at the top and the bottom of a building are read by a barometer to be 96.0 and 98.0 kPa. If the density of air is 1.0 kg/m³.

To find : The height of the building ?

Solution :

We have given atmospheric pressures,

$P_{\text{top}}=96\ kPa$

$P_{\text{bottom}}=98\ kPa$

The density of air is 1.0 kg/m³ i.e. $\rho_a=1\ kg/m^3$

Atmospheric pressure reduces with altitude,

The height of the building is given by formula,

$H=\frac{\triangle P}{\rho_a\times g}$

$H=\frac{P_{\text{bottom}}-P_{\text{top}}}{\rho_a\times g}$

$H=\frac{(98-96)\times 10^3}{1\times 9.8}$

$H=\frac{2000}{9.8}$

$H=204\ m$

Therefore, Option d is correct.

The height of the building is 204 meter.

4 0

4 years ago

A student runs 100 meters in 11 seconds. What is the speed of the student?

DiKsa [7]

100m= 0.621371 miles

11 seconds = 0.0030556 hours

s=d/t

0.0621371miles/0.0030556hours = 20.3355miles/hours

round off to 20.3 miles per hour

7 0

4 years ago

The coordinates A(2, 1), B(7, 1), C(2, 4) form what type of polygon?

Digiron [165]

Step-by-step explanation:

$Slope \: of \: AB = \frac{1 - 1}{7 - 2} = \frac{0}{5} = 0 \\ \\ Slope \: of \: BC = \frac{4 - 1}{2 - 7} = \frac{3}{ - 5} = - \frac{3}{ 5} \\ \\ \because \: Slope \: of \: AB \neq \: Slope \: of \: BC \\ \\ \therefore \: given \: points \: are \: non - collinear. \\$

Hence, coordinates A(2, 1), B(7, 1), C(2, 4) form a triangle.

6 0

3 years ago

Read 2 more answers

Candy buys 20 ounces of mixed nuts she puts the equal number of ounces in each of three bags how many ounces of mixed nuts will

iren [92.7K]

20+20+20=60 that's the answee

6 0

4 years ago

Read 2 more answers

Write an equation for the line that connects A (-4,8) and B (6,3)

Mazyrski [523]

Answer:

7y+5x=76

Step-by-step explan

A (-4,8) and B (6,3)

First find the slope;

m= (y2-y1)/(x2-x1)

m=(3-8)/(3+4)

m=-5/7

now using equation of line

y-y1= m(x-x1)

y-8=-5/7 (x+4)

y-8=(-5x+20)/7

7(y-8)= -5x+20

7y-56=-5x+20

7y+5x=20+56

7y+5x=76

4 0

3 years ago