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3 years ago

What is the value of 7.6a + 16.2c, when a = -6 and c = -4?

Mathematics

2 answers:

aleksley [76]3 years ago

8 0

Answer:

-110.4

Step-by-step explanation:

First, substitute the numbers in for the variables. So the equation is -45.6 + (-64.8) which also equals -45.6 - 64.8. This equals -110.4. I hope this helps! Please put me as brainliest. I really need 1 more. Please!

defon3 years ago

7 0

Step-by-step explanation:

Putting values

7.6(-6) + 16.2 (-4)

-45.6 + -64.8

-110.4

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Find an equation of the sphere which contains points A(1, 3, 2) and B(4, 3, 7) and the distance between A and B is equal to the

Marina86 [1]

Answer:

The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

Step-by-step explanation:

First we need to find diameter of the sphere. The distance point A and point B is:

$d=\sqrt{(4-1)^2+(3-3)^2+(7-2)^2} \\d=\sqrt{3^2+0^2+5^2} \\d=\sqrt{34} \\d=5.83$

d/2=r=2.92

radius of the sphere is 2.92 units

and the center of the sphere is:

C=((4+1)/2,(3+3)/2,(7+2)/2)

C=(2.5,3,4.5)

We can write the equation of the sphere as:

$r^2=(x-2.5)^2+(y-3)^2+(z-4.5)^2\\8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2$

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3 years ago

Plzzzzz answer this question about density mass and volume!!!!!!!!!

nataly862011 [7]

Answer:

13.896 kg

Step-by-step explanation:

You can find the mass of the bar by first finding the volume.

V = BH

where B = area of the base (the trapezium), and

H = height (distance trapezium between bases)

The area of a trapezium is

A = (b1 + b2)h/2

where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and

h = the altitude of the trapezium (distance between the bases of the trapezium)

V = (b1 + b2)h/2 * H

V = (12 cm + 6 cm)(5 cm)/2 * 16 cm

V = 720 cm^3

The volume of the bar is 720 cm^3.

Now we use the density and the volume to find the mass.

density = mass/volume

mass = density * volume

mass = 19.3 g/cm^3 * 720 cm^3

mass = 13,896 g

Now we convert grams into kilograms.

1 kg = 1000 g

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mass = 13.896 kg

Answer: 1.3896 kg

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3 years ago

What is the slope of the line

Alexxandr [17]

(2,2) (-1,4) I think

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3 years ago

Eight friends share 4 bunches of grapes equally. What fraction of a bunch of grapes does each friend get?

AURORKA [14]

1/2 a bunch because 8 divided by 4 = 1/2 :)

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2 years ago

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for

Aneli [31]

The monthly loan payments are $350 ⇒ B

Step-by-step explanation:

Simple Interest formula (Principal + Interest) is A = P(1 + rt) where:

A is total accrued amount (principal + interest)
P is principal Amount
r is rate of interest per year in decimal
t is time period involved in months or years

Adam is buying a hot air balloon for 19,000 with a down payment of 5,000. The bank approved a simple interest flat rate loan for 5 years at 10%APR.

We need to find how much the monthly loan payments are

∵ Adam is buying a hot air balloon for $19,000 with a down payment

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∴ P = 19000 - 5000 = 14000

∵ The bank approved a simple interest flat rate loan for 5 years at

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∴ t = 5

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∴ A = 21000

∴ The loan payment is $21000

- The loan will pay in 5 years

∵ The number of monthly payment = 5 ×12 = 60

- Divide the amount of loan payment by 60

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The monthly loan payments are $350

Learn more:

You can learn more about the monthly payment in brainly.com/question/788903

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