What is the volume of the pyramid

150ft^3
540 ft^3
432 ft^3
48 ft^3

Answer:

1/3

Step-by-step explanation:

The mad scientist needs one-third or 1/3 of the eyeball.

That is 1/3 of the eyeball.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,

Number of ways = ⁶P₃ × 3!

                            = 120 × 6

                            = 720

Hence, The number of ways in which 6 marbles can be put in three different jars is 720.

Learn more about Permutation:

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Answer:this is stupid

Step-by-step explanation:who the hell does that

Answer:

1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.

b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.

c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.

2. The answer is s = 1/2m + 2

3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.

4. 10r + 4 = 8 → 10r = 4 → r = 0.4

5. The variable r represents the rate she must increase her texting speed by per month.

6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".

Answer: [tex]x^2-17x+30=0[/tex]

Step-by-step explanation:

Let x = Time taken (in days) by Jean to do the job.

Then, Time taken by Kate to do the job = x-5

Then, together they will take time (t) as

 [tex]\dfrac{1}{t}=\dfrac{1}{x}+\dfrac{1}{x-5}[/tex]

[tex]=\dfrac{x-5+x}{x(x-5)}=\dfrac{2x-5}{x(x-5)}[/tex].

[tex]\Rightarrow\ t=\dfrac{x(x-5)}{2x-5}[/tex]

Since it is given that Kate and Jean paint a house together in 6 days.

i.e.

[tex]6=\dfrac{x(x-5)}{2x-5}\\\\\Rightarrow 6(2x-5)=x^2-5x\\\\\Rightarrow\ 12x-30=x^2-5x\\\\\Rightarrow\ x^2-5x-12x+30=0\\\\\Rightarrow\ x^2-17x+30=0[/tex]

So, the equation represents the time it takes Kate to paint the house by herself is [tex]x^2-17x+30=0[/tex] .

Answer:

x^2 − 7x − 30 = 0 

Step-by-step explanation:

Answer:

Solution,

[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-11/5x+-171/10

Step-by-step explanation: I believe its this answer unless you want it graphed

Answer:

C

Step-by-step explanation:

........

Answer:

42

Step-by-step explanation:

Area= 1/2(bh)

Area=1/2(12)(7)

Area=1/2)(84)

Area=42

Answer:

100

Step-by-step explanation:

A rhombus is split into four right triangles

The base of one is 5 and the hypontenuse is 10

So remember x^2y^2=z^2

5^2=25

25+y^2=100

Ok so y is between 8 and 9 so lets just use 8 first

5*8*1/2=20

there are 4 triangles so 20*4=80

now same thing with 9

5*9*1/2=22.5

22.5*4=90

your answer is between 80 and 90

btw i might have gotten the answer wrong but idk if u were supposed to have an exact answer and also idk if the "10" was the hypontheses but since u were probably offline i answered it

Answer: The average rate of change for an exponential function grows by equal factor per unit interval.

Step-by-step explanation:

The general exponential equation for growth is given by:-

[tex]y=Ab^x[/tex], where

A= initial value

b= Multiplicative growth rate

x = time period

For each value of x, the value of y increases by an equal value of multiplicative factor ( b).

For example: at x=0 , [tex]y=A[/tex]

at x=1, [tex]y=Ab[/tex]

at x= 2, [tex]y=Ab^2[/tex]

Hence, the average rate of change for an exponential function grows by equal factor per unit interval.

Answer:

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Step-by-step explanation:

Information is missing in the question, which would be the following:

A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

The options for answering the question are also missing, which by investigating I could know that they are as follows:

A) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. True

B) A statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. False; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional.

C) A non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. False; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional.

D) A statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. True

Now we have that a conditional statement has the form of whether A then B.

Also, A contradictory statement is when we exchange the hypothesis and the conclusion of the sentence and deny them both. It has the following form if not A, then not B.

Therefore the answer is D)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

Since both equations are equal to y, set them equal to each other

2x+3 = -3x+3

Subtract 3 from each side

2x = -3x

Add 3x to each sdie

2x+3x = -3x+3x

5x =0

Divide by 5

x=0

Now solve for y

y =2x+3

y = 0+3

y=3

(0,3)

Answer:

(0,3)

Step-by-step explanation:

y = 2x+3

y = -3x+3

2x+3 = -3x+3

2x = -3x

2x+3x = -3x+3x

5x =0

x=0

The solve for y

y =2x+3

y = 0+3

y=3

(x,y)=(0,3)

Then (0,3) will be your answer!

Hope this help!

Answer: parallel

Step-by-step explanation:  If two parallel planes are cut by a third plane, then the lines of intersection are parallel. Parallel lines are defined as lines that have only one point in common. Skew lines are parallel.

Answer:

infinite solutions

Step-by-step explanation:

y=5-2x

4x+2y=10

Multiply the first equation by 2

2y = 10 -4x

Add 4x to each side

4x+2y = 10

This is identical to the second equation

This means they are the same line, so there are infinite solutions along the line

There are infinite answers

Answer: A

Step-by-step explanation:

The domain of a function is the minimum and maximum value of independent variable (x).

The domain of the function according to the given graph will be the starting point of the line of best fit to the end point of the line.

Trace the starting point and the end point to the x - axis.

If you do so, the starting point is 2 and the end point is 10.

The domain is therefore, 2< = x <= 10. The correct answer is A

Answer:

Leftmost box: Graph, because it has zero x intercepts

Middle box: Function f with a vertex at 2, 0

Rightmost box: g(x)=x^2+x-2

Answer:

g(x)=x^2+x-2

Step-by-step explanation:

Answer:

[tex]-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20\left(-\frac{8}{7}\right)[/tex]

the last one

sorry for getting this wrong...............

Answer:

[tex]x^{2}+9y^{2}+22[/tex]

Step-by-step explanation:

[tex](x+4)+(x+4)+(3y)+(3y)+(7)+(7)[/tex]

this can be simplified to: [tex]x^{2}+9y^{2}+22[/tex]

Answer:

D) 12,672 in^3

Step-by-step explanation:

V = LWH = 18 in * 16 in * 44 in = 12,672 in^3

Answer:

12,672 in3 I think

Step-by-step explanation:

Answer: 241804367

Step-by-step explanation:

Answer:

The slope from point O to point A is 3 times the slope of the line from point A to point B.

Step-by-step explanation:

The slope of the entire line is 1. The slope from point A to point B is also 1. 1 multiplied by 3 is still 1, which means that the slope from point O to point A is also 1.

Answer:

B. 141 ft.

Step-by-step explanation:

Just saw this.

Answer:

Wednesday

Step-by-step explanation:

Fridays temperature was -4

We want a temperature that is 9 degrees lower

-4 -9 = -13

Wednesday has a temperature of -13

Answer:

The third option wednesday.

Step-by-step explanation:

on friday it was -4 c. aass the temperature grow in minuses(negatives) it becomes colder. just add 4 and 9 because it tells you that it was colder by nine celsius. higher negative number means lower(colder) temperature. 4+9=13. now add minus to the number we get -13. if you look at the chart this temperature was reported on wednesday. hope i was able to help. ask if need help any further.

Answer:

Correct options are A and B.

Step-by-step explanation:

From the given graph it is clear that the given points lie on a parabola because they in U-shape.

We need to find the ranges of x-values such that there must be a root of the graph.

The point (-3,2) lies above the x-axis but point (-2,-2) lies below the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range -3 to -2.

Similarly, point (1,-1) lies below the x-axis but point (2,3) lies above the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range 1 to 2.

Therefore, the correct options are A and B.

Answer:

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

Step-by-step explanation:

Given

[tex]2x^2 - 2x - 40[/tex]

Required

Factorize

[tex]2x^2 - 2x - 40[/tex]

Start by expanding the above expression

[tex]2x^2 - 10x + 8x- 40[/tex]

Then, split the expanded expression into two

[tex](2x^2 - 10x) + (8x- 40)[/tex]

Factorize the split expression:

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

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

Expand the expression in the first bracket

[tex](2x + 2*4)(x - 5)[/tex]

Then take out common factor

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

From the list of given options, option A is correct

Answer:

A

Step-by-step explanation:

I took the test.

Answer:

1). Y= x² -4x+6

Y = 3x-4

2) X= 5 and x= 2

3).

X= 5

Y= 11

X= 2

Y= 2

Step-by-step explanation:

1).

Y = (x-2)²+2

Y= x² -4x+4+2

Y= x² -4x+6

Y+4= 3x

Y = 3x-4

2).

Y = x² -4x+6

Y = 3x-4

x² -4x+6= 3x-4

X² -7x+10= 0

X²-5x-2x+10= 0

X(x-5)-2(x-5)= 0.

(X-5)(x-2)= 0

X= 5 and x= 2

3). substituting the value of x into the linear equation

Y = 3x-4

X= 5

Y= 3(5)-4

Y= 15-4

Y= 11

Y = 3x-4

X= 2

Y= 3(2)-4

Y= 6-4

Y= 2

Answer:

2.8 in

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular end and h is the length )

A = [tex]\frac{1}{2}[/tex] × x × x = [tex]\frac{1}{2}[/tex] x² , thus

V = [tex]\frac{1}{2}[/tex] x² × x = 4 , that is

[tex]\frac{1}{2}[/tex] x³ = 4 ( multiply both sides by 2 )

x³ = 8 ( take the cube root of both sides )

x = [tex]\sqrt[3]{8}[/tex] = 2

Using Pythagoras' identity on the right triangle with hypotenuse y, then

y² = x² + x² = 2² + 2² = 4 + 4 = 8 ( take the square root of both sides )

y = [tex]\sqrt{8}[/tex] ≈ 2.8 in ( to the nearest tenth )

Answer:

49.

Step-by-step explanation:

To solve, you can simply list the square numbers in order...

1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2.

1, 4, 9, 16, 25, 36, 49.

Hope this helps!

Seventh term of the sequence of square numbers is 49.

The square of a number is obtained by multiplying an integer by itself.

So we have numbers 1,2,3,4,5,6,7. Now, squaring these ,we get

First term =[tex]1^2=1[/tex]

Second term [tex]=2^2=4[/tex]

Third term[tex]=3^2=9[/tex]

Fourth term [tex]= 4^2=16[/tex]

Fifth term[tex]= 5^2=25[/tex]

Sixth term[tex]= 6^2=36[/tex]

Seventh term [tex]= 7^2=49[/tex]

The seventh term of the sequence of square numbers is 49.

Learn more:https://brainly.com/question/19337596

Answer:

Step by step explanation:

[tex] - 7.1(z - 1.1)[/tex]

Multiply each term in paranthesis by -7.1

[tex] - 7.1 \times z - 7.1 \times ( - 1.1)[/tex]

Multiply:

[tex] -7.1z + 7.81[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

B

Step-by-step explanation:

To answer this question, set the equation equal to 100 and solve for x. Thus:

[tex]100=50(1.03)^x[/tex]

[tex]2=(1.03)^x[/tex]

[tex]x=\log_{1.03}2\approx23.45\approx23[/tex]

Therefore, 23 years after 2000, the population will reach 100 million.

Hence, our answer is B, at the year 2023.

Answer:

B

Step-by-step explanation: