Find the volume of the prism.
13ft 7ft

Answer:

The answer would be a 25% chance of picking the paper with a circle on it

Step-by-step explanation:

Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.

Answer:36π mm^2

Step-by-step explanation:

Formula for area of a circle =

πr^2

r=6mm

π*6^2

π*36

36π mm^2

Answer:

36 π mm²

Step-by-step explanation:

r= 6 mm

A= πr²

A= π* 6²= 36 π mm²

Answer:

D. 2/17

Step-by-step explanation:

Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.

Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.

Answer:

Inequality for donuts and brownies is;

d ≥ 1 ≤ b

Step-by-step explanation:

We are told that aria will buy donuts and brownies.

We are also told that, number of donuts is d while number of brownies is b.

We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.

So the inequality will be;

d + b ≥ 6

Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b

Answer: d+b≥6 is the correct answer trust me

Answer: x = 5

Step-by-step explanation:

14 / 2 = 7

7 * 5 = 35

Same applies for x

2 / 2 = 1

1 * 5 = 5

Answer: y = -3x -3

Step-by-step explanation:

y = mx + b

3x + y = -3

y = -3x -3

Answer:

slope intercept form: y=mx+c

*m = gradient

*c = y-intercept

3x + y = -3

y = -3x - 3

Answer:

1. 60z, 36

2. 96a, 88

Step-by-step explanation:

1.

First, find the like terms for z. (60z)

Second, find the like terms for 20, 4, and 12. (36)

2.

Combine the 88a and 8a (96a)

Then combine 8 plus 80 (88)

Answer:

(50z+20)(10z+4)

=50z(10z+4)+20(10z+4)

=500z²+200z+200z+80

=500z²+400z+80

(88a+80)(8a+8)

=88a(8a+8)+80(8a+8)

=704a²+704a+640a+640

=704a²+1344a+640

Step-by-step explanation:

i hope this will help you:)

Answer:

2* (xy)^2

Step-by-step explanation:

First find the product of x and y

xy

The square it

(xy)^2

The twice it ( multiply by 2

2* (xy)^2

[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]

.

[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]

Answer:

m∠A = 135°

m∠C = 135°

Step-by-step explanation:

There are 540° in a pentagon.

You are given 3 90° angles

540-90(3) = 270

∠A and ∠C are congruent

270/2 = 135° each

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

We know that the car travels at speed [tex]x+30[/tex] per hour. Thus, after [tex]h[/tex] hours, it will have traveled [tex]h(x+30)[/tex] kilometres.

We are given that it traveled 300 kilometres after 3 hours. So, we have...

[tex]300=3(x+30)[/tex]

[tex]100=x+30[/tex]

[tex]x=70[/tex]

Answer:

k = 4, t = 2

Step-by-step explanation:

Express 2025 as a product of its prime factors

2025 = [tex]3^{4}[/tex] × 5², that is

[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]

Comparing exponents of same bases on both sides, gives

k = 4 and t = 2

The answer is y = 2x - 15

The equation of a line is y = mx +c

m = slope

c = y intercept

From this equation y=2x+6

m = 2

Since the lines are parallel their gradients are also the same

Equation of the line using point (8,1) is

y - 1 = 2(x-8)

y - 1 = 2x - 16

y = 2x - 15

Hope this helps

Answer: y=2x-15

Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15

Answer:

so 2a+3b=±13

Step-by-step explanation:

4a²+9b²=97

ab=6

2a+3b=?

by using formula

(a+b)²=a²+b²+2ab

(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)

(2a+3b)²=4a²+9b²+12ab

putting values

(2a+3b)²=97+12(6)

(2a+3b)²=97+72

(2a+3b)²=169

taking square root on both sides

√(2a+3b)²=√169

2a+3b=±13

i hope it will help you

Answer:

2a+3b = 13

Step-by-step explanation:

Using this formula

[tex](x+y)^2 = x^2+y^2+2xy[/tex]

Where,

x = 2a and y = 3b

Putting in the above formula

=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]

Putting  4a²+9b² = 97 and ab = 6

=> (2a+3b)² = 97+12(6)

=> (2a+3b)² = 97+72

=> (2a+3b)² = 169

Taking sqrt on both sides

=> 2a+3b = 13

Answer:

4

Step-by-step explanation:

3p+8=20

3p=12

p=4

Answer:p=4

Step-by-step explanation:

2p+8=-p+20

Step 2: Add p to both sides.

2p+8+p=-p+20+p

3p+8=20

Step 3: Subtract 8 from both sides.

3p+8-8=20-8

3p=12

Step 4: Divide both sides by 3.

3p/3=12/3

p=4

Answer:

5.0 [tex]m^3[/tex]

Step-by-step explanation:

The volume of a rectangular  prism is given as:

V = L * W * H

where L = length

W = width

H = height

Put all the dimensions in the same unit, metre (m).

Length = 5 m

Width = 40 cm = 40 / 100 = 0.4 m

Height = 2500 mm = 2500/1000 = 2.5 m

The volume of the prism is:

V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]

Answer:

13,27,43,23,39.

i think these r the prime numbers

The prime numbers are:

13, 43, 23

Answer:

8n+7

Step-by-step explanation:

Answer:

The intial value is 1.25

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D)1/3^8

Step-by-step explanation:

(3^-2)^4

3^-8

1/3^8

3 raised to the power of 8

1/6561 or 1/3^8

Step-by-step explanation:

The quotient is 0.125

I think this should be the answer

Answer:

0.125

Step-by-step explanation:

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

Explanation:

For the x value x = 3, the observed y value is y = 6 which is from the point (3,6).

The predicted y value is found by plugging x = 3 into the line of best fit equation

y = 5x-2.5

y = 5(3)-2.5

y = 12.5

The residual is the difference between the two y values

e = residual

e = (observed y value) - (predicted y value)

e = 6 - 12.5

e = -6.5

The negative residual tells us the observed y value is smaller than the predicted y value for this given x value.

Answer: 88/11.

Step-by-step explanation:

We want to find a expression, with a denominator of 11, that is equivalent to 8.

remember that if we have the expression A/B

the numerator is A, and the denominator is B.

Then we have:

A/11 = 8

we need to find the value of A.

To do this, we can multiply by 11 in both sides of the equation:

(A/11)*11 = 8*11

A = 88

Then the expression is:

88/11.

Answer:

15 ft²

Step-by-step explanation:

Area of a Triangle Formula: 1/2bh

We are given b and h. Simply plug them in and calculate:

1/2(5)(6)

3(5)

15

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

Answer:

2/6 or 1/3

Step-by-step explanation:

There are two numbers who are equal or less than 2 its 1 and 2

And the total is 6 so its 2/6 which is 1/3

Sorry if this is late

Answer:

0.33

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]4(5x+7)/2+5x\\\\\frac{20x+28}{2} +5x\\Simplify\\ 10x +14+5x\\10x+5x+14\\15x+14[/tex]

Answer:

197,8879 N.

Step-by-step explanation:

The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.

The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.

With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.

The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.

F= (120 N cos 60°) + (180 N x cos 40°)

F= 197,8879 N

Answer:

147

Step-by-step explanation:

Given: Maria=3

Max=3 squared=9

Molly=Max+Maria=9+3=12

Mitch=Molly squared+Maria=144+3=147

Hope this helps!

Solution:

Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.