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4 years ago

Find the volume of the pyramid.

Mathematics

1 answer:

True [87]4 years ago

6 0

Answer:

the answer is 280

Step-by-step explanation:

v=1w h/3

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The range of y = - 32x ^ 2 + 90x + 3

mariarad [96]

Given:

The given function is:

$y=-32x^2+90x+3$

To find:

The range of the given function.

Solution:

We have,

$y=-32x^2+90x+3$

It is a quadratic function because the highest power of the variable x is 2.

Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.

If a quadratic function is $f(x)=ax^2+bx+c$ , then the vertex of the quadratic function is:

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

In the given function, $a=-32,b=90,c=3$ .

$\dfrac{-b}{2a}=\dfrac{-90}{2(-32)}$

$\dfrac{-b}{2a}=\dfrac{-90}{-64}$

$\dfrac{-b}{2a}=\dfrac{45}{32}$

The value of the given function at $x=\dfrac{45}{32}$ is:

$y=-32(\dfrac{45}{32})^2+90(\dfrac{45}{32})+3$

$y=\dfrac{2121}{32}$

The vertex of the given downward parabola is $\left(\dfrac{45}{32},\dfrac{2121}{32}\right)$ . It means the maximum value of the function is $y=\dfrac{2121}{32}$ . So,

$Range=\left\{y|y\leq \dfrac{2121}{32}\right\}$

$Range=\left(-\infty, \dfrac{2121}{32}\right ]$

Therefore, the range of the given function is $\left (-\infty, \dfrac{2121}{32}\right ]$ .

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3 years ago

If \text{m}\angle TXS=61^{\circ}m∠TXS=61 <br><br>∘<br><br> , then what is \text{m}\angle SXUm∠SXU?

garik1379 [7]

Answer:

We use electrical devices that produce motion, light, and sound. Which aspect of energy explains why these devices are possible?

Step-by-step explanation:

,dude what's ur question

anyways please mark it as brainliest please

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3 years ago

(14pts) Please help me with this question on my homework

bekas [8.4K]

Answer:

Step-by-step explanation:

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3 years ago

An article reports that blue eyed people are less than brown eyed people, with these number: average blue-eyed salary $35,000 av

wariber [46]

1. The results are nowhere near to being statistically significant.

2. The results are almost but not quite statistically significant.

3. The results are just barely statistically significant.

4. The results are strongly statistically significant.

A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?

1. 19

2. 90

3. 100

4. 10! (10 factorial)

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3 years ago

The probability that a person in the united states has type b+ blood is 13%. three unrelated people in the united states are s

zubka84 [21]

$\frac{13}{100} \times \frac{13}{100} \times \frac{13}{100} \\ = \frac{2197}{1000000}$
Answer is 0.2197%

Hope this helps. - M

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3 years ago