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3 years ago

The question is: Which calculation and answer show how to convert 13/16 into a decimal

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Answer:

I think the answer is D

Step-by-step explanation:

Answer is D, because if you divide 13 and 15 it gives you 0.8125

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Is it true 5.14 = 21/4?

Blizzard [7]

I think that so...............

6 0

3 years ago

suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq

lesya [120]

Answer:

Step-by-step explanation:

f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1

so:

-1 = a(-7 + 8)² + 2

-1 -2 = a(1)² + 2 -2

-3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

8 0

3 years ago

A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner

algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

$V=x(216-24x-36x+4x^{2})$

$V=x(4x^{2}-60x+216)$

$V=4x^{3}-60x^{2}+216x$

So now we can find the derivative of the volume:

$V'=12x^{2}-120x+216$

and set it equal to zero, so we get:

$12x^{2}-120x+216=0$

and now we can solve. We can start by factoring the left side of the equation, so we get:

$12(x^{2}-10x+18)=0$

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

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

so we substitute the corresponding values:

$x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}$

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0

3 years ago

75% of 124 is what number a ?

Maksim231197 [3]

75% of of the number 124 is 93

4 0

3 years ago

Read 2 more answers

You want to create a 99% confidence interval with a margin of error of .5. Assuming the population standard deviation is equal t

miss Akunina [59]

Answer:

Sample size minimum is 60

Step-by-step explanation:

given that you want to create a 99% confidence interval with a margin of error of .5.

The population standard deviation is equal to 1.5

i.e. $\sigma = 0.5$

Confidence level = 99%

Since population std deviation is known, we can use Z critical value for finding margin of error

Z critical value for 99% = 2.58

Margin of error = $2.58*\frac{1.5}{\sqrt{n} }$

Equate this to 0.5 and solve for n

$2.58*\frac{1.5}{\sqrt{n} }=0.5\\\sqrt{n} =7.74\\n =59.90\\n=60$

8 0

3 years ago