Use the numbers 2,3,5, and 8 to write an expression that has a value of -1

Without finding the quotient, is the value of the expression (-3 1/3 + 3 1/2) ÷ (-1/4) positive or negative? Explain.

erastovalidia [21]

Answer:

positive

Step-by-step explanation:

the answer is 0

4 0

3 years ago

a triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a squ

omeli [17]

Answer:

The lengths of the sides of the square base are $2\sqrt{2}\ units$

Step-by-step explanation:

<u><em>The correct question is</em></u>

A triangular prism has an isosceles right triangular base with a hypotenuse of square root of 32 and a prism height of 12. a square prism has a height of 12 and its volume is equal to that of the <em><u>triangular</u></em> prism. what are the dimensions of the square base, in simplest radical form?

we know that

The volume of a prism is given by the formula

$V=Bh$

where

B is the area of the base

h is the height of the prism

so

If the volumes of the solids are the same and their heights are the same, then the area of the base of the triangular prism must be equal to the area of the base of the square prism

step 1

Find the area of the base of the triangular prism

Remember that in a right isosceles triangle, the two legs are equal

Let

x ---> the length side of each leg

Applying the Pythagorean Theorem

$(\sqrt{32})^2 =2x^2$

$x^2=32/2\\x^2=16\\x=4\ units$

The area of the triangular base is equal to

$A=\frac{1}{2}(4)(4)=8\ units^2$

step 2

Find the dimensions of base of the square prism

Let

b ---> the length side of the square base

The area of a square is given by the formula

$A=b^2$

we have

$A=8\ unit^2$ ----> is the same that the area of triangle

substitute

$8=b^2$

$b=2\sqrt{2}\ units$

therefore

The lengths of the sides of the square base are $2\sqrt{2}\ units$

3 0

3 years ago

PLEASE HELP ME! Please do not comment nonsense, and actually comment the answer and the solution.

choli [55]

<h3>Answer: Choice C</h3>

=================================================

Explanation:

For choice C, the x values are out of order, so it might be tricky at first. I recommend sorting the x values from smallest to largest to get -2, -1, 0, 1, 2. Do the same for the y values as well. Make sure the correct y values stay with their x value pairs. You should get the list of y values to be 4, 2, 1, 1/2, 1/4

Check out the attached image below for the sorted table I'm referring to

We can see the list of y values is going down as x increases. This is a good sign we have decay. Further proof is that we multiply each term by 1/2 to get the next one

4 times 1/2 = 2

2 times 1/2 = 1

1 times 1/2 = 1/2

1/2 times 1/2 = 1/4

and so on. Effectively we can say the decay rate is 50%

5 0

3 years ago

A specialty store sells items that are priced at exactly $3, $5, or $10. The store manager figures that 16% of inventory is pric

Elza [17]

Answer:

$7.28

Step-by-step explanation:

The average price, or the expected price, of any item in this specialty store is given by the weighted average of each item's price. That is, the sum of the products of each individual price by its corresponding sales mix:

$AP =(0.16*\$3)+(0.32*\$5)+(0.52*\$10)\\AP=\$7.28$