A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the same the base area and volume as the square pyramid, what is its height? 12 units 10 units 4 units 3 units.

Answer:

[tex]y=3^x[/tex]

Step-by-step explanation:

exponential function : y = a(b)^x

where a = y intercept and b = factor ( number you are multiplying by )

according the the graph the y intercept is a 1 so a = 1

we now have y = 1(b)^x

to find the factor you plug in one of the ordered pairs into y = 1(b)^x

the ordered pair you use will not effect the outcome, i have chose (2,9)

y = 1(b)^x

(x,y) = (2,9) so x = 2 and y = 9

9 = 1(b)^2

divide both sides by 1

9 = (b)^2

take the square root of both sides

3 = b

the final equation is y = 1(3)^x or just y = 3^x

Answer: -7 and 4

Step-by-step explanation:

Answer:

61.5%

Step-by-step explanation:

The percent of his money that he spent on the pair of shoes is [tex]\frac{36.90}{60} \cdot 100% = 61.5%[/tex]

Answer: Angle LPO

Step-by-step explanation:

Answer:

72mm

Step-by-step explanation:

it is 72mm because there are 6 cubes and they each are 12mm so you do 6*12 witch is 72

Answer:

The square root is 2357.0224861

Answer:

[tex]\frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

Step-by-step explanation:

[tex](9ab^{-5})^{-2} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{ - 5( - 2)} \\ \\ = {9}^{ - 2} {a}^{ - 2} {b}^{10} \\ \\ = \frac{ {b}^{10} }{ {9}^{2} {a}^{2} } \\ \\ \huge = \frac{ {b}^{10} }{ 81 {a}^{2} } [/tex]

The interest paid for the credit card purchase will be equal to $5.49

It is given that

Credit card purchase cost = $46. 92

Daily interest = 0.39%

Total interest for 30 days = [tex]0.39\times30=11.7[/tex]%

So the total interest paid will be given by

[tex]=\dfrac{11.7\times46.92}{100}=5.489[/tex]

Thus the interest paid for the credit card purchase will be equal to $5.49

To know more about Simple Interest follow

https://brainly.com/question/25793394

Answer:

75

Step-by-step explanation:

The area of a triangle with base b and height h is

1

2

bh. You want to find the area of a triangle with base b=15 inches and height h=10 inches.

Evaluate the expression

1/2

bh for b=15 and h=10

1/2

bh=1/2

(15)(10)

=1/2

(150)

=

75

The area of Larry's tortilla chip is 75 square inches.

Answer:

A, If you still need help

Answer:

Percent error is approx. 22%

Step-by-step explanation:

So to do this you need to know the formula for percent error, which is

percent error = l measured - theoretical / theoretical l * 100%

With this just plug in 18 (real) and 14 (measured).

percent error = l 14 - 18 / 18 l * 100%

percent error = l -4 / 18 l *100%

percent error = l -2/9 l *100%

You then do absolute value because the percent error must be positive not negative! So -2/9 becomes 2/9. You then divide 2/9 to get approx. 0.22... and you muliply by 100% to get 22%.

Car insurance companies want to keep track of the average cost per claim. The current data in use for Auto Insurance R Us is an average of $2,200 for each claim with a standard deviation of $500. With this average, the company can stay competitive with rates but not lose money. However, the statistician for the company believes that the cost of the average claim has increased. He pulled 40 recent claims and found the average to be $2,350. Which most restrictive level of significance would suggest that the company should raise rates? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.

Answer:

The answer is A. With a t score of -0.8137, and a p-value of 0.21987, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.

Step-by-step explanation:

Answer choices B and C are not correct because this is a one-tailed test and it isn't answer choice D because the p-value is greater than the significance level which means there is NOT sufficient evidence to reject the null hypothesis.

Answer: 3×10^10m

Step-by-step explanation:

In 1 second it travels 3 ×10^8m

in 100 second it travels 3×10^10 m

Answer:
1 bag = 8 pounds
1 pound = 16 ounces
8 pounds = 128 ounces

3 bags = 128 x 3
            =72 ounces

Answer:

x= 6.324555320

Step-by-step explanation:

X^2=40

1. Square root both sides

2. You should be left with x=6.32....

Solution: √40 = x

So basically, you have to find x, which is raised to the power of two. To find that, we'll have to square root 40 because square rooting a number is the opposite of squaring a number

So 40 squared = 6.32455532034

A really long number...

Now, let's check our answer

6.32455532034^2 = 40

So therefore, x = 6.32455532034

Hope this helped!!

Answer:

6/8

Step-by-step explanation:

Answer:

y = 8x - 5

Step-by-step explanation:

Given:

To find:

How to find:

The slope is always known as "constant of variation" or "rate of change", but it's basically the increase of both y and x axes in simple terms. The decrease or increase in two points together and then found with the formula of rise/run (increase and decrease) (horizontal line/vertical line).

The y-intercept is always on the y-axis and is the beginning of what is learned in pre-algebra as a "story" which helps students practice finding the slope which again, is the change with "per" or "each".

Make sure to use the formula:

y = mx + b

Now we insert.

y = 8x <---------- slope

y = 8x - 5 <------ y-intercept and completed slope-intercept equation.

The reason it has a negative is because it started out as a negative y-intercept and is increasing by 8 through ordered pairs.

Answer:

y = 8x - 5

Step-by-step explanation:

because if its has a slope of 8 then m is 8

if the y intercept is -5 the b is -5

y = mx + b

y = 8x -5

Answer:

yes it is the right angle

The diagram illustrates congruent and complementary angles

The congruent statement [tex]\angle C \cong \angle P[/tex] is true

The given parameters are:

Angles C and O are complementary angles

Angles P and M are complementary angles

[tex]\angle O \cong \angle M[/tex]

The statement [tex]\angle O \cong \angle M[/tex] means that, angles O and M are congruent angles.

From the figure, we have:

[tex]\angle C = 90 - \angle O[/tex]

Also, we have:

[tex]\angle P = 90 - \angle M[/tex]

Recall that: [tex]\angle O \cong \angle M[/tex]

So, we have:

[tex]\angle P = 90 - \angle O[/tex]

By comparison, we have:

[tex]\angle C \cong \angle P = 90 - \angle O[/tex]

Hence, the statement [tex]\angle C \cong \angle P[/tex] has been proven

Read more about angle proofs at:

https://brainly.com/question/1788884

[tex]\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} g(x)=8x^6\\\\ f(x)=\log_4(2x) \end{cases}\qquad \qquad \begin{array}{llll} f(~~g(x)~~)=\log_4[~2g(x)~] \\\\\\ f(~~g(x)~~)=\log_4[~2(8x^6)~] \end{array} \\\\\\ f(~~g(x)~~)=\log_4(16x^6)\implies f(~~g(x)~~)=\log_4(4^2x^6) \\\\\\ f(~~g(x)~~)=\log_4(4^2)~~ + ~~\log_4(x^6)\implies \boxed{f(~~g(x)~~)=2~~ + ~~6\log_4(x)}[/tex]

Compare to y=mx+b

Here slope described the rate of change happened to the price of milk

Answer:

I'll only answer the 1st one:    17 cubed / square root of 12

Step-by-step explanation:

Figure the rest out yourself.

Answer:

y=900x-1700

Step-by-step explanation:

(sorry if the explanation is long)

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,100), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=100.

Also, let's call the second point you gave, (3,1000), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=3 and y2=1000.

Now, just plug the numbers into the formula for m above, like this:

m=

1000 - 100

3 - 2

or...

m=

900

1

or...

m=900

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=900x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,100). When x of the line is 2, y of the line must be 100.

(3,1000). When x of the line is 3, y of the line must be 1000.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=900x+b. b is what we want, the 900 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,100) and (3,1000).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,100). y=mx+b or 100=900 × 2+b, or solving for b: b=100-(900)(2). b=-1700.

(3,1000). y=mx+b or 1000=900 × 3+b, or solving for b: b=1000-(900)(3). b=-1700.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,100) and (3,1000)

is

y=900x-1700

Answer:

y=900x-1700

Step-by-step explanation:

(sorry if the explanation is long)

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,100), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=100.

Also, let's call the second point you gave, (3,1000), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=3 and y2=1000.

Step-by-step explanation:

this is correct

Answer:

  8 km

Step-by-step explanation:

Danielle can multiply the scale values by 4 to find the real life distance between the park and the beach.

  1 cm : 2 km . . . . . given scale values

  4 cm : 8 km . . . . . multiply values by 4

The state park and state beach are 8 km apart.

Answer:

he will spend all his money on gas and not make it down the block

Answer:

[tex]x =4 + \sqrt{6}, \: \: 4 - \sqrt{6}[/tex]

Step-by-step explanation:

[tex]x^2-8x + 10 = 0 \\ \\ \implies \: x^2-2(x)(4) + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - {(4)}^{2} + 10 = 0\\ \\ \implies \: x^2-2(x)(4) + {(4)}^{2} - 16 + 10 = 0\\ \\ \implies \: (x - 4)^2 - 6= 0\\ \\ \implies \: (x - 4)^2 = 6\\ \\ \implies \: x - 4 = \pm \sqrt{6} \\ \\ \implies \: x = 4 \pm \sqrt{6} \\ \\ \implies \: x =4 + \sqrt{6}, \: \: x =4 - \sqrt{6}[/tex]

Answer:

h(t) = -16t² + 200

distance = 56 ft

Step-by-step explanation:

First of all, we know that the initial velocity (v0) of the rock is 0 ft/s because the rock was dropped. We also know that the initial height of the rock is 200 ft because it was dropped at the top of the well which is 200 ft high. Plugging this information into our quadratic function we get h(t) = -16t² + 200.

Now we need to find the distance from the surface of the water to the bottom of the well. This distance is equal to the height of the rock at time equals 3 seconds. Therefore, all we need to do is find h(3) = -16(3)² + 200 = 56 ft.

Answer:

Step-by-step explanation:

Multiply the top equation by 3.

3*(x - y)/3 = 0.5 * 3

(x - y) = 1.5

There is no single solution that satisfies this system. There infinitely many values for x and y that will work. The only restriction is that x - y = 1,5

So if you make y = 3

x - 3 = 1.5                   Add 3 to both results

x - 3 + 3 = 1.5 + 3       Combine

x = 4.5

Infinitely many solutions exist.