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4 years ago

Match each percent amount to its correct value.

Mathematics

1 answer:

Elza [17]4 years ago

3 0

Answer:

13 = 30% of 45

4.5 = 15% of 30

4.6 = 23% of 20

4.2 = 60% of 7

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What is the volume of a sphere that has a 64 m radius

Molodets [167]

Answer:

V=349525.333*pi

Step-by-step explanation:

Volume of a sphere: V=(4/3)*pi*r^3 where r=radius.

r=64

V=(4/3)*pi*(64)^3=(4/3)(262144)pi=349525.333*pi

8 0

3 years ago

the vertex of parabola is (-2,-3).when the y-value is -2 , the x-value is -5. what is the coefficient of the squared expression

Fantom [35]

The coefficient of the squared expression is 1/9

<h3>How to determine the coefficient of the squared expression?</h3>

A parabola is represented as:

y = a(x - h)^2 + k

Where:

Vertex = (h,k)

From the question, we have:

(h,k) = (-2,-3)

(x,y) = (-5,-2)

So, the equation becomes

-2 = a(-5 + 2)^2 - 3

Add 3 to both sides

1 = a(-5 + 2)^2

Evaluate the sum

1 = a(-3)^2

This gives

1 = 9a

Divide both sides by 9

a = 1/9

Hence, the coefficient of the squared expression is 1/9

Read more about parabolas at:

brainly.com/question/4061870

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7 0

2 years ago

How many solutions does the nonlinear system of equations graphed below have?

MakcuM [25]

Answer: 4

Step-by-step explanation: just did it myself

7 0

3 years ago

Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

Tresset [83]

Cross multiply the expression so that we can get

(1+sinx)(1-sinx) = cos^2 x

1 - sin^2 x = cos^2 x

cos^2 x + sin^2 x = 1

since

cos^2 x + sin^2 x = 1

therefore

1 = 1

the two expressions are identical in a trigonometric sense

4 0

3 years ago

This question is down below. The picture attached below. <br> Thanks.

Ostrovityanka [42]

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1 $g^{2}$ +30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1 $g^{2}$ +30g-1200

0.1 $g^{2}$ -30g+1200+665.60=0

0.1 $g^{2}$ -30g+1865.60=0

Divide the above equation by 0.1.

$g^{2}$ -300g+18656=0

Solving for g we get,

g=[300± $\sqrt{(300)^{2}-4*1*18656 }$ ]/2*1

g=[300± $\sqrt{90000-74624}]/2$

g=[300± $\sqrt{15376}$ ]/2

g=(300±124)/2

g=(300+124)/2 , g=(300-124)/2

g=424/2, g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1 $g^{2}$ +30g-1200.

-0.1 $g^{2}$ +30g-1200=1500

0.1 $g^{2}$ -30g+1500+1200=0

0.1 $g^{2}$ -30g+2700=0

Dividing equation by 0.1.

$g^{2}$ -300g+27000=0

Solving the equation for finding value of g.

g=[300± $\sqrt{300^{2} -4*1*27000}$ ]/2*1

=[300± $\sqrt{90000-108000}] /2$

=[300± $\sqrt{-18000}$ ]/2

Because $\sqrt{-18000}$ comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

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7 0

2 years ago