Find the volume of the pyramid.

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term

Answer:

(x + 5)^2 + (y + 5)^2 = 16

Step-by-step explanation:

Answer:

30 mm

Step-by-step explanation:

There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.

         2 (3 mm) + 2 (12 mm)

         = 6 mm + 24 mm

         = 30 mm

Answer:

30

Step-by-step explanation:

Since the long side that is blank is the same length of 12 and the short side is the same length of 3.

12+12=24

3+3=6

24+6=30

Answer:

3

Step-by-step explanation:

To find how much you can get for one dollar, you have to divide 9 by 3. If you have to find how many units can you get for one dollar, (you need to divide the larger number by the smaller)

Divide 9 by 3.

9/3=3

So, with $1, you can get 3 chicken wings.

Answer: Claire made 42 muffins by closing time

Step-by-step explanation:

Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.

Answer:

1 yard

Step-by-step explanation:

Let b represent the amount of blue fabric and r represent the amount of red fabric.

Given;

Jessi has 9 feet of blue fabric

b = 9 ft

She need one third of that amount in red fabric.

r = 1/3 × b

Substituting the value of b;

The amount of red fabric needed r is;

r = 1/3 × 9 = 3 ft

Since they sell in yards , we need to convert it to yards.

1 yard = 3 feets

Therefore,

r = 3 ft × 1/3 yard per ft

r = 1 yard

Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

Answer:

50g sugar, 100g butter and 400g flour

Step-by-step explanation:

You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.

If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.

That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.

Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.

So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.

Answer:

We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.

Hope this helps!

Answer:

The first answer is incorrect

Step-by-step explanation:

45 divided by 9 is 5 not 40

The equation that represents the statement is j / 9 = 5.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The statement j divided by 9 is 5 can be written in equation form as follows:

j / 9 = 5

j = 45

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Answer:

-4(3n + 5)

Step-by-step explanation:

We want to factor the expression:

-12n - 20

Look at the two terms, which are -12n and -20. Obviously, they don't share an "n", but they do share another number.

Notice that -12 can be written as the product of -4 and 3: -12 = -4 * 3. Similarly, -20 can be written as the product of -4 and 5: -20 = -4 * 5. Since 3 and 5 are prime numbers, we know that -4 is the biggest factor that -12 and -20 share. So, let's factor that out of the expression:

-12n - 20 = -4 * [(-12n/-4) + (-20/-4)] = -4 * (3n + 5)

So, the factored form of this expression is -4(3n + 5).

Steps to factor:

-12n - 20

~Rewrite -12n

-4 * 3n

~Rewrite -20

-4 * 5

~Put together

-4 * 3n + -4 * 5

~Factor out -4

-4(3n + 5)

Best of Luck!

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

Answer:

-∞ < x < ∞

Step-by-step explanation:

∑ xⁿ / n^(2ⁿ)

Apply ratio test:

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] / [xⁿ / n^(2ⁿ)] |

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] × [n^(2ⁿ) / xⁿ] |

lim(n→∞) | x n^(2ⁿ) / (n+1)^(2ⁿ⁺¹) |

0

The series converges for all values of x.

Answer:

1. Median

2. Altitude

Step-by-step explanation:

Medians- Bisect the side (Split the side into two equal parts)

Altitude- Makes a right angle

1. Splits the side into two equal parts. Anwser: Median

2. Makes a right angle Answer: altitude

Answer:

3/8 in.

Step-by-step explanation:

If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.

Answer:

V= 1/3 pi*r^2*

Step-by-step explanation:

The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.

Answer:

s = 4 3/4.

Step-by-step explanation:

The formula is s = ut + 1/2 at^2

so s =  10^1/2 + 1/2 * -2 * (1/2)^2

s = 5 - 1/4

= 4  3/4.

Answer:

y=1

x=-2

Step-by-step explanation:

You're given one, so solve for y by entering -2 (x) into it's equation.

y=x+3

y=-2+3

y=-1

The other is given, so you have your answer.

:)

solution

W=f×d×cos theta

=25N×16m×cos 45°

=400Nm×cos 45°

=282.84J

W=f×d×cos theta

=25N×7m×cos 10°

=175Nm×cos10°

=172.34J

Total workdone=282.84J+172.34J=455.18J

Answer:

[tex]2\sqrt[3]{2}[/tex]

Step-by-step explanation:

[tex]log_{2}x + log_{4}x = 2\\\\log_{2}x + \frac{log_{2}x}{log_{2}4} =2\\\\log_{2}x + \frac{log_{2}x}{2} =2\\\\2log_{2}x + log_{2}x =4\\\\3log_{2}x =4\\\\log_{2}x = \frac{4}{3} \\\\x=2^{\frac{4}{3}}=2^{1+\frac{1}{3} }=2*2^{\frac{1}{3} }=2\sqrt[3]{2}[/tex]

Answer:

x =64.5

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

The total circle is 360 degrees

The arc is 360 - 113 - 118

arc =129

x = 1/2 (129)

x =64.5

Answer:

64.5°

Step-by-step explanation:

Using the inscribed angle theorem here would help to find the value of  x°.

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

First find the arc PM. Write an equation to show that the measures of the following arcs: PQ, QM, and PM add up to 360°, since they span an entire circle. Then solve for the arc PM.

mPM + mPQ + mQM = 360°

mPM + 113° + 118° = 360°

mPM + 231 = 360°

mPM = 129°

Now, find m<Q. <Q is an inscribed angle that intercepts the arc PM, so use the Inscribed Angle Theorem.

m<Q = 1/2 * mHJ

         = 1/2 ( 129 )

         = 64.5°

X = 64.5 degrees.

Answer:

[tex]\frac{7}{16}[/tex]

Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.

So, since the total is 16, this will be the denominator, and the 7 will be the numerator.

So, it will be [tex]\frac{7}{16}[/tex]

Step-by-step explanation:

Total marbles = 24 + 8 + 16 + 4 = 52

Probability of blue marble = 8/ 52 = 4 / 26 = 2 / 13

Option 2 is the correct answer

Answer: it has infinite solutions.

Step-by-step explanation:

[tex]y=3x-4\\-3y=-9x+12[/tex]

Plug y in the second equation.

[tex]-3y=-9x+12\\-3(3x-4)=-9x+12\\-9x+12=-9x+12\\-9x+9x=12-12\\0=0[/tex]

Answer:

O lol top right still

Step-by-step explanation:

Answer:

100/3 % = 33 1/3 % = 33.33%

Step-by-step explanation:

To find what percent a part is from the whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

percent = 20/60 * 100%

percent = 1/3 * 100%

percent = 100/3 % = 33 1/3 % = 33.33%

Answer:

Step-by-step explanation:

20/60 = one third or 0.333

Convert to percent by moving the decimal point two times to the right.

33.3%

Answer:

[tex] 1 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]\huge \frac{7}{6} = 1 \frac{1}{6} [/tex]

Hope it helps you in your learning process.

Answer:

Step-by-step explanation:160

Answer:

3/8

Step-by-step explanation:

2/8 + 1/8 = 3/8