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defon
3 years ago
9

Nicole has a cabinet in the shape of a right rectangular prism. The volume of the cabinet is 24 cubic feet. If the cabinet cover

s a floor space of 12 square feet, how tall is the cabinet?
Mathematics
1 answer:
zimovet [89]3 years ago
4 0
Hence, Height of rectangular prism is 2 feet.
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If x+y=16 and x-y=-2, what is the value of xy?
Fantom [35]

Answer:

Y=7 and

X=9

Step-by-step explanation:

X+Y=16

X=2+Y

2+Y+Y=16

2+2Y=16

2Y=16-2

2Y=14

2Y/2=14/2

Y=7

X =2+Y

So X=9

8 0
1 year ago
Use the quadratic formula to solve each equation.
Elden [556K]

Answer:

1) x_1 = \frac{2 - 2\sqrt{13}}{2}= 1-\sqrt{13}

x_2 = \frac{2 + 2\sqrt{13}}{2}= 1+\sqrt{13}

2) x_1 = \frac{6 - 2\sqrt{10}}{1}= 6-2\sqrt{10}

x_2 = \frac{6 + 2\sqrt{10}}{1}= 6+2\sqrt{10}

3) p_1 = \frac{-8 - 2\sqrt{30}}{4}= -2-\frac{1}{2}\sqrt{30}

p_2 = \frac{-8 + 2\sqrt{30}}{4}= -2+\frac{1}{2}\sqrt{30}

4) y_1 = \frac{-3 - 9}{4}=-3

y_2 = \frac{-3 + 9}{4}= \frac{3}{2}

Step-by-step explanation:

The quadratic formula is given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

We can use this formula in order to solve the following equations:

1. x^2 − 2x = 12 → a = 1, b = −2, c = −12

For this case if we apply the quadratic formula we got:

x = \frac{-(-2) \pm \sqrt{(-2)^2 -4(1)(-12)}}{2(1)}

x_1 = \frac{2 - 2\sqrt{13}}{2}= 1-\sqrt{13}

x_2 = \frac{2 + 2\sqrt{13}}{2}= 1+\sqrt{13}

2. 1/2x^2 − 6x = 2 → a = 1 / 2, b = −6, c = −2

For this case if we apply the quadratic formula we got:

x = \frac{-(-6) \pm \sqrt{(-6)^2 -4(1/2)(-2)}}{2(1/2)}

x_1 = \frac{6 - 2\sqrt{10}}{1}= 6-2\sqrt{10}

x_2 = \frac{6 + 2\sqrt{10}}{1}= 6+2\sqrt{10}

3. 2p^2 + 8p = 7 → a = 2, b = 8, c = −7

For this case if we apply the quadratic formula we got:

p = \frac{-(8) \pm \sqrt{(8)^2 -4(2)(-7)}}{2(2)}

p_1 = \frac{-8 - 2\sqrt{30}}{4}= -2-\frac{1}{2}\sqrt{30}

p_2 = \frac{-8 + 2\sqrt{30}}{4}= -2+\frac{1}{2}\sqrt{30}

4. 2y^2 + 3y − 5 = 4 → a = 2, b = 3, c = −9

For this case if we apply the quadratic formula we got:

y = \frac{-(3) \pm \sqrt{(3)^2 -4(2)(-9)}}{2(2)}

y_1 = \frac{-3 - 9}{4}=-3

y_2 = \frac{-3 + 9}{4}= \frac{3}{2}

8 0
4 years ago
Use the values on the number line to find the sampling error.
pantera1 [17]
Part 1:

Given a number line with the point \bar{x}=3.8 and the point \mu=4.27

The sampling error is given by:

\bar{x}-\mu=3.8-4.27=-0.47



Part 2:

Given a number line with the point \bar{x}=26.43 and the point \mu=24.67

The sampling error is given by:

\bar{x}-\mu=26.43-24.67=1.76
4 0
3 years ago
Please help with this
frozen [14]

Answer:

Step-by-step explanation:

D because the two angles are the same which means they are congruent. since both angles equal to 30.

6 0
3 years ago
In May, the school store sells 80 erasers. In June, the store sells only 16 erasers. What is the percent of change in erasers so
lawyer [7]

Answer:  80%

Step-by-step explanation:

Since we have given that

Number of erasers sold in May = 80

Number of erasers sold in June = 16

Decrement in 1 month gap is given by

16-80=-64

So, Percentage of change in erasers sold from May to June is given by

\frac{-64}{80} × 100

= -80% (Decreased 80%)

4 0
3 years ago
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