Sam wants to build a unique pyramid bookend for his study. It's an oblique pyramid
with a right triangular base. The sides of the base are 3, 4, and 5 inches long. The
pyramid will fit exactly inside his bookshelf, which has a height of 18 inches. He
wishes to build the pyramid out of modeling clay. How many cubic inches of clay
does Sam need to buy?

36in^3
24in^3
62.8in^3
216in^3

Answer:

h(t) = -16t(t-6)

h(2) = 128

Step-by-step explanation:

h(t) = -16t² + 96t

h(t) = -16t(t-6)

t = 3

h(2) = -16(2)(2 - 6)

h(2) = 128

Answer:

1) subtracting 5

2) adding 20

3) dividing by 2 (multiplying by 1/2)

4) multiplying by 1/10 (dividing by 10)

Step-by-step explanation:

There are four main operations in math: adding, subtracting, multiplying, and dividing. Each of the operations has an opposite. Adding and subtracting are opposites and multiplying and dividing are opposites. This means that subtracting can undo adding and vice versa; additionally, dividing can undo multiplying or vice versa. So, to find the opposite of something switch the operation to the opposite and keep the number. However, it is important to note that with multiplying and dividing you can also find the opposite by keeping the operation while changing the number to the reciprocal.

Answer:

min at x = -3

Step-by-step explanation:

steps are in the pic above.

Answer:  the 12th graders get 150 bottles

how did i get 150?:

we know the total amount is 1,000 bottles of water

since 9th graders got 1/4 of the bottles. 1/4 of 1,000 is 250

10th graders: 1/5 of 1,000 is 200

11th graders: 2/5 of 1,000 is 400

now we ADD all of the sums together: 250+200+400 (doesnt matter which order but do go in order to not confuse yourself) the total should be 850.

FINALLY we subtract 1,000 - 850 = 150 bottles that are left for the 12th graders.  

Answer:

b and f

Step-by-step explanation:

Find complete data below :

Answer:

R = - 0.94

Step-by-step explanation:

Since data was collected in 2005 ; we subtract the data collection year from the make year to obtain the age :

Age (x) :

1,1, 3,3,4,4,5,5,5,5,6,7,10

Price (y) :

26900,23000,17500,18999,17200,18995,13900,15250,13200,11000,13900,8350,5800

Using technology, the correlation Coefficient between age of car and price is : - 0.94

With a correlation Coefficient of - 0.94, we can conclude that there exists a strong negative correlation between age and price of the Odyssey mini vans. This could be interpreted to mean that ; As the age of cars in increases, the price decreases

Answer:

Second term of this sequence: [tex]10[/tex].

Third term of this sequence: [tex]20[/tex].

Step-by-step explanation:

The first step is to find the common ratio of this sequence.

In a geometric sequence, multiply one term by the common ratio to find an expression for the next term. Let [tex]r[/tex] denote the common ratio of this sequence. For this sequence:

However, the question states that the value of the fourth term is [tex]40[/tex]. In other words, [tex]5\, r^{3} = 40[/tex].

Solve this equation for [tex]r[/tex]:

[tex]r^{3} = 8[/tex].

[tex]r = 2[/tex].

(Since the power of [tex]r[/tex] is non-even in the equation, there's no need to consider the sign of [tex]r\![/tex] when taking the cube root.)

Substitute [tex]r = 2[/tex] into the expression for the second term and the third term to find their values:

Answer:

Calculating p-value from excel  

p-value = 0.144458 (From excel  =T.DIST.RT(1.091,19))  

p-value = 0.144458 > 0.05  

So, we failed to reject the null hypothesis. There is sufficient evidence to conclude that they pay not more than the national average of $4172.

Step-by-step explanation:

Here the given de4tails are,

Hypothesized mean = 4172

Sample Standard deviation = 1590

Sample mean = 4560

Sample size n = 20

Formulation of hypothesis

Answer:   6.1% decrease

Note: It appears that your teacher doesn't want you to type in the percent sign, as that's already covered for you.

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

Explanation:

The salary decreased by 51500-48355 = 3145

Divide this over the initial salary to get 3145/51500 = 0.0611 which is approximate.

This converts to the percentage 6.11% and that rounds to 6.1%

----------------

As an alternative, you can use the formula method below

A = old value = 51500

B = new value = 48355

C = percent change when going from A to B

C = [ (B-A)/A ] * 100%

C = [ (48355-51500)/51500 ] * 100%

C = (-3145/51500)*100%

C = -0.0611*100%

C = -6.11%

C = -6.1%

The negative C value indicates a percent decrease.

Answer:

the standard form of "three thousand four hundred eight is

hope it is helpful to you ☺️

In standard form we can write 3408 as 3.408 x [tex]10^{3}[/tex].

We have the following statement - three thousand four hundred eight

We have to write it in standard form.

A number when expressed as a decimal number, between 1 and 10, multiplied by a power of 10, is said to be in standard form.

According to the question, we have -

three thousand four hundred eight.

In the digit form, we can write it as - 3408.

In Standard form, we can write it as -

3408 = 3.408 x [tex]10^{3}[/tex]

Hence, in standard form we can write 3408 as 3.408 x [tex]10^{3}[/tex].

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Answer:

(3) $20.1 billion

Step-by-step explanation:

hope it help

Answer:

(5) $60.3 billion​

Step-by-step explanation:

Answer:

P=1

Step-by-step explanation:

P(even or less than 6) = P(even)+P(less than 6) -P(even ∩ less than 6)

P(even)=3/6 (numbers 2,4, and 6)

P(less than 6) =5/6 (numbers 1,2,3,4, and 5)

P(even ∩ less than 6)=2/6 (numbers 2 and 4)

(3/6)+(5/6) -(2/6) = (3+5-2)/6 = 6/6=1

Answer:

[tex]- 2x^2 +19x -24[/tex]

Step-by-step explanation:

Given

[tex](5x + 8 - 6x)(4 + 2x - 7)[/tex]

Required

Evaluate

We have:

[tex](5x + 8 - 6x)(4 + 2x - 7)[/tex]

Collect like terms

[tex](5x - 6x+ 8 )(4 - 7+ 2x )[/tex]

[tex](- x+ 8 )(- 3+ 2x )[/tex]

Expand

[tex]3x - 2x^2 -24 + 16x[/tex]

Rewrite as:

[tex]- 2x^2 + 3x+ 16x -24[/tex]

[tex]- 2x^2 +19x -24[/tex]

Answer:

so first we start from the left

425*167=70975

but instead of adding this to 233 we use pemdas so instead we do

233*425=99025

now we add them together

70975+99025=170000

Hope This Helps!!!

Answer:

170,000

Step-by-step explanation:

425 × 167 + 233 × 425

= (425 × 167) + (233 × 425)

= 70,975 + 99,025

= 170,000

Answer:

.0548

Step-by-step explanation:

(2-10)/5= -1.6

go to a ztable and get .0548

Answer:

x=7

Step-by-step explanation:

The directrix of a parabola is the vertical line found by subtracting

p from the x-coordinate h

of the vertex if the parabola opens left or right.

x=h-p

Substitute the known values of

p and h

into the formula and simplify.

x=7

Answer:

1437.3 cm^3 is the volume of sphere whose radius is 7cm

Answer:

Graph A

Step-by-step explanation:

correct answer on edge :)

The statement that represents the graphs of the functions f(x) and g(x) : On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).

For given question,

The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x.

If each of the x objects increases its sound power by 10 decibels, then the new total sound power, in decibels, is given by the function

g(x) = f(x) + 10.

The graph of the function f(x) would starts at (0, 50)

For x = 10 the value of the function f(x) would be,

f(10) = 50 + 10 log (10)

f(10) = 50 + 10 (1)

f(10) = 60

This means, the graph of the function f(x) passes though point (10, 60)

Also, the graph of the function g(x) would starts at (0, 60)

For x = 10 the value of the function g(x) would be,

g(10) = f(10) + 10

g(10) = 60 + 10

g(10) = 70

This means, the graph of the function g(x) passes though point (10, 70)

Therefore, on a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).

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Answer:

[tex]y = -\frac{3}{4}x + 5[/tex]

Step-by-step explanation:

Given equation  y = -3/4x  - 5

Step 1 : Find slope.

           Since the lines are parallel to each other, the slopes are same.

          [tex]therefore, m = \frac{-3}{4}[/tex]

Step 2 : Find the equation of the line.

           [tex]( y - y_1) = m ( x - x_ 1) \ \ \ where \ x_ 1 = 4 \ and \ y_ 1 = 2[/tex]

            [tex]( y - 2 ) = -\frac{3}{4}( x - 4)\\\\y - 2 = -\frac{3}{4}x + 3\\\\y = -\frac{3}{4}x + 3 + 2\\\\y = -\frac{3}{4}x + 5[/tex]

Answer:

yes your answer is right

Answer:

Yes it's Perfectly correct

Answer:

$0.65

Step-by-step explanation:

You can just do 0.05 * 13 to find the difference between the two prices.

Answer:

The probability of observing between 43 and 64 successes=0.93132

Step-by-step explanation:

We are given that

n=100

p=0.50

We have to find the probability of observing between 43 and 64 successes.

Let X be the random variable  which represent the success of population.

It follows binomial distribution .

Therefore,

Mean,[tex]\mu=np=100\times 0.50=50[/tex]

Standard deviation , [tex]\sigma=\sqrt{np(1-p)}[/tex]

[tex]\sigma=\sqrt{100\times 0.50(1-0.50)][/tex]

[tex]\sigma=5[/tex]

Now,

[tex]P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)[/tex]

[tex]P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})[/tex]

[tex]=P(-1.5\leq Z\leq 2.9)[/tex]

[tex]P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)[/tex]

[tex]P(42.5\leq x\leq 64.5)=0.99813-0.06681[/tex]

[tex]P(43\leq x\leq 64)=0.93132[/tex]

Hence, the probability of observing between 43 and 64 successes=0.93132

Answer:

240

Step-by-step explanation:

minus how much u sold them and how much it cost to make

3-1=2

times 2 and 120

2(120)

240

Answer:

The value of the standard error for the point estimate is of 0.0392.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that [tex]n = 100, p = \frac{81}{100} = 0.81[/tex]

Give the value of the standard error for the point estimate.

This is s. So

[tex]s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392[/tex]

The value of the standard error for the point estimate is of 0.0392.

Answer

y = 3x - 2

Step-by-step explanation

The slope-intercept form of the equation for this line is,

⇒ y  = x + 2

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point-slope form of the equation of the line that passes through points (-9, -2) and (1, 3) is,

⇒ y - 3 = (x - 1)

Now, We can simplify as;

⇒ y - 3 = (x - 1)

⇒ y - 3 + 3 = (x - 1) + 3

⇒ y  = x + 2

Thus, The slope-intercept form of the equation for this line is,

⇒ y  = x + 2

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Answer:

-1.28 AND 2.61

Step-by-step explanation:

[tex]10= -4x+3x^2\\ 3x^2 -4x - 10 = 0\\\\[/tex]

use quadratic formula

x =  [tex]\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex]   x =  [tex]\frac{-b-\sqrt{b^{2} -4ac} }{2a}[/tex]

Solution/X-Intercepts: -1.28 AND 2.61    

Using translation concepts, the vertex of k(x) is 6 units below the vertex of f(x) = x² for:

D. f(x) = x² and k(x) = x² - 6.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

We want to shift the vertex 6 units down, hence the transformation is y -> y - 6, so the correct pair is:

D. f(x) = x² and k(x) = x² - 6.

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Answer:

54 cm is the perimeter I think