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s344n2d4d5 [400]
3 years ago
12

The dimensions for a rectangular prism are x + 3 for the length, x + 2 for the width, and x for the height. What is the volume o

f the prism? Enter your answer as a polynomial in standard form.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer:

the answer will be x^3 + 2x^2 + 9x

Step-by-step explanation:

as :

volume = l* w* h

= X * (X + 2) * (X + 3)

= X ^ 2 + 2 X (X + 3)

= x ^2 (X + 3) + 2x (X + 3)

= x^3 + 3x +2x ^2 + 6x

= x^3 + 2x^2 + 9x

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What is an equation of the line that passes through the point (-4,3) and is
zysi [14]

Answer:

The perpendicular line 4x − 5y = 20 has a slope of 4/5 and as such, the slope of the required line = -5/4

(y - 3)/(x + 4) = -5/4 simplify to get the required equation: 5x + 4y + 8 = 0

3 0
3 years ago
ABCD is a parallelogram. Find the values of x and y. Solve for the value of z, if z=x−y.
slava [35]

Answer:

C

Step-by-step explanation:

Parallel and opposite sides of a parallelogram are equal. Hence, we can say:

x + 30 = 2x - 10

and

2y-10 = y +10

Solving first one, we get:

x + 30 = 2x - 10

30+10 = x

x = 40

Also

2y - 10 = y + 10

y = 10 + 10

y = 20

Now, z = x - y, so

z = 40 - 20 = 20

Answer C is right.

3 0
3 years ago
WILL UPVOTE
sattari [20]
X= 9 over 4 is the correct answer
6 0
3 years ago
The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with
zloy xaker [14]

The reasonable estimate of the current customer price index is 195. The option B is the correct option.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services.

It can be given as,

\rm CPI_t=\dfrac{C_t}{C_0}\times 100

Here \rm C_t is the cost of market basket in current period and \rm C_0 is the cost of market basket in the base period.

Cost of market basket in current period is

\rm C_t=15.66+119.75+23.99+37.50\\\\C_t=196.9

Cost of market basket in 1983 is,

\rm C_0=8.85+71.25+13.95+22.7\\\\C_0=116.8

Substitute all the values in the formula

\rm CPI_t=\dfrac{C_t}{C_0}\times 100\\\\\rm CPI_t=\dfrac{196.9}{116.8}\times 100\\\\\rm CPI_t=1.685\times 100 \\\\ CPI_t=168.5\\\\\rm CPI_t= 170 \ \rm approx

Thus the value of current CPI is 168.5 which is near about the 170.

Hence, the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

brainly.com/question/25495502

3 0
2 years ago
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has
Oxana [17]

Answer:

864

Step-by-step explanation:

Volume of cup = ⅓pi×r²×h

Diameter = 2, radius = 1

= ⅓×3.142 × 1² × 4 = 4.1893333333 in³

To empty the sink, 864 scoops will be required

(3617/4.1893333 = 863.383)

3 0
3 years ago
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