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3 years ago

Add polynomials: (3-4x + 8x^2) + (-6 + 2x - 5x^2)

Mathematics

1 answer:

seropon [69]3 years ago

4 0

Answer:

3x^2-2x-3

Step-by-step explanation:

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PLEASE HELP! ASAP! WILL MARK BRAINLIEST IF CORRECT!!!!!

Volgvan

Answer:

D.............................................

Step-by-step explanation:

im sorry if im wrong

6 0

2 years ago

The area of a right triangle with one leg measuring 5ft and hypotenuse measuring 13ft is

nexus9112 [7]

Calculating the other leg:
other leg^2 = 13^2 - 5^2
other leg^2 = 169 -25
other leg^2 = 144
other leg = 12

Area = .5 * 12 *5
Area = 30 sq feet
answer is A

6 0

3 years ago

Find the volume of the shaded figure by subtracting the smaller volume from the larger

alekssr [168]

Answer:

a. $9a^3 - 9ab^2$

b. $9a(a^2 - b^2)$

Step-by-step explanation:

$Volume = l*w*h$

$Volume_{smaller} = l*w*h$

Where, $l = 9a, w = b, h = b$

$Volume_{smaller} = 9a*b*b = 9ab^2$

$Volume_{larger} = l*w*h$

Where, $l = 9a, w = a, h = a$

$Volume_{smaller} = 9a*a*a = 9a^3$

Volume of the shaded figure = $9a^3 - 9ab^2$

b. $9a^3 - 9ab^2$ expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

$9a^3 - 9ab^2 = 9a(a^2 - b^2)$

6 0

3 years ago

Suppose a normal distribution has a mean of 48 and a standard deviation of 2. What is the probability that a data value is betwe

stepan [7]

Answer:

Choice D. 15.2%

Step-by-step explanation:

We have a normal...

mean u = 48

standard deviation s = 2

We want P(43 < X < 46)

We standardize.

Consider P(43 < X) = P( (43 - 48)/2 < Z) = P(-2.5 < Z)

P( X < 46) = P( Z < (46 - 48)/2 ) = P(Z < -1)

We want P( -2.5 < Z < -1)

Look at Z-scores.

P( Z < -2.5) = 0.0062

P(Z < -1) = 0.1587

so P(-2.5 < Z < -1) = P(Z < -1) - P(Z < -2.5) = 0.1587 - 0.0062 = 0.1525 = 15.2%

about

3 0

3 years ago

A rectangular public park has an area of 3,600 square feet. It is surrounded on three sides by a chain link fence. If the entire

Dafna11 [192]

Answer:

If length of the field is 30 ft, then width is 120 ft.

If the length of the field is 60 ft, then width is 60 ft.

Step-by-step explanation:

Let us assume the length of the rectangular park = L ft

Let us assume the breadth of the rectangular park = B ft

Now, AREA of the given park = L x B

⇒ L x B = 3,600 sq ft ... (1)

Also, the perimeter of three sides = 180 ft

⇒ 2 L + B = 180 ..... (2)

Now, from (1) and (2), we get:

L x B = 3,600

2 L + B = 180 ⇒ B = 180 - 2 L

Substitute this in(1) , we get:

L x B = 3,600 ⇒ L x (180 - 2 L) = 3600

$\implies 180 L - 2L^2 = 3600\\\implies L^2 -90L + 1800 = 0\\\implies (L-30)(L-60)= 0$

⇒ L = 30 or L = 60

So, if L = 30 ft , then B = 180 - 2L = 180 - 60 = 120 ft

So, if L = 60 ft , then B = 180 - 2L = 180 - 120 = 60 ft

So, if length of the field is 30 ft, then width is 120 ft.

And if the length of the field is 60 ft, then width is 60 ft.

4 0

3 years ago