List all of the factors of 78. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a space after the comma.)

Answer:

1/2

Step-by-step explanation:

1/3 + 1/6

LCM of 3 and 6 is 6.

therefore, multiple the fraction that doesn't have 6 as denominator with a fraction that makes the denominator equal to the LCM.

1/3 × 2/2 = 2/6

(we have used 2/2 because 3×2= 6)

so,

2/6+1/6 = 2+1/6

(2 + 1 whole divided by 6)

therefore we get,

3/6

on simplification,

3/6 = 1/2 = 0.5

hope it helps!!

PLEASE MARK BRAINLIEST..

Answer:

1/3 + 1/6 = 2/6 + 1/6 = 1/2 (simplified from 3/6)

Step-by-step explanation:

since 1/3 = 2/6 (to get the same denominator)

2/6 + 1/6 = 3/6 (or 1/2 simplified, when divided by 3/3)

so 2/6 + 1/6 = 3/6

2 is the first blank

1/2 is your answer. (second blank)

hope this helps:)

Answer: 21

Step-by-step explanation:

Mode is the value that appears most often in a set of data values.

        21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29

Answer:

The mode for the data set is 21

Step-by-step explanation:

The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5

1 is the mode because there are more 1's than any number in the data set.

Your welcome! ;D

Answer:

Step-by-step explanation:

The number of elements in a power set = the number of subsets of a set

Formula:

Let S be a sent ,the number of elements of  the power set of S =

[tex]2^{\text{card(S)} }[/tex]

Where card(S) = number of element of S itself.

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

In this case :

Card(S) = 3

Then

the number of elements of  the power set of S =

[tex]2^{3}=8[/tex]

Answer:

Step-by-step explanation:

We have a transversal and lines intersecting with it.

The angle measures formed by the lines and the transversal are not all equal to each other.

Four of the angles measure 85° and one 79°.

These are corresponding angles (the angles which occupy the same relative position at each intersection where a straight line, transversal,  crosses two or more others).

If corresponding angles are equal, the lines are parallel.

In our case all the lines intersecting the transversal are parallel apart from the one with different angle measure.

Therefore, correct answer choice is:

Answer:

#3 : x = 12

#4 : x = 6

Step-by-step explanation:

Question 3:-

Question 4:-

Based on the points given about the locations these trees are planted, the trees that will be planted exactly on the x-axis are (a) Amla and Mango.

When plotting a line on a graph, the points that will be found on the x-axis are those that will have a y coordinate of 0.

From the table given, both Mango and Amla have y coordinates of 0 which means that they will be planted exactly on the x-axis.

Find out more on plotting lines on graphs at https://brainly.com/question/14323743.

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The values are

First plot two dots on 8

Then rest two on -8

Answer:

See below ~

Step-by-step explanation:

Solving :

Answer:

the exact same as the pre image

Step-by-step explanation:

3.

the left cup is the summary of 2 cylinders.

the right cup is just a cone.

the volume of a cone is

pi×r²×h/3 = pi×3.5²×6/3 = pi×12.25×2 = pi×24.5 =

= 76.93 in³

the volume of a cylinder is

pi×r²×h

the first cylinder is

pi×3²×1.5 = pi×9×1.5 = pi×13.5 = 3.14×13.5 = 42.39 in³

the second cylinder is

pi×2²×2.25 = pi×4×2.25 = pi×9 = 28.26 in³

in total the cup has

42.39 + 28.26 = 70.65 in³

so, the cone has the larger volume by 6.28 in³ ≈ 6 in³.

that would be 3.479827 fl.oz. ≈ 3 fl.oz. of water.

I have no idea on what scale you need to quantify the amount of water. I just guessed.

2.

here we need the surface area.

the object consists of a large prism (or block) and a cylinder.

we don't need the bottom area for neither, as the cylinder is simply on top of the prism, and its bottom is not going to be painted either.

we need 5 sides of the prism :

front and back

left and right

top (and we need the full top, because the area the cylinder is covering up is the same area for the top of the cylinder).

and the we need to add only the side wall of the cylinder the "mantle".

so,

front and back rectangles are 10×3 × 2 = 60 in²

left and right rectangles are 10×3 × 2 = 60 in²

the top rectangle (square) is 10×10 = 100 in²

the cylinder mantle is

circumference of the circle × height

2×pi×r×h = 2×pi×4×6 = 3.14×48 = 150.72 in²

so, in total we have

60 + 60 + 100 + 150.72 = 370.72 in² ≈ 371 in²

Answer:

Question 2: 320.48 in^2

Question 3: 6.28 in^3

Step-by-step explanation:

Question 2)

The question tells us that the shape will be covered in paint. This means that we need to find the surface area instead of volume. In the question, I’ll find the surface area of the two individual shapes (The cylinder and the rectangular prism) and take away parts that will not be covered in paint.

Rectangular Prism

1. ((10x10)+(10x3)+(10x3))x2 — All rectangular prisms have 2 sides with the same area. Since there are 6 sides total, all we need to do is find 3 sides of different sizes and multiply them by 2. The number we get is 320 in^2.

2. We will not be painting the bottom, so we can take the area of the bottom away. The area of the bottom is 10x10, which is 100. 320 - 100 is 220 in^2.

3. We are also not painting the area where the cylinder is touching the top (The circle-shaped area). The formula of finding the area of a circle is radius x radius x pi. Since the radius is 4 and pi can be rounded to 3.14, the area of the circle will be 4x4x3.14, which is 50.24 in^2. We can take that away from 220, so 220 - 20.24 is 169.76 in^2.

Cylinder

1. 4x4x3.14 — We know that one side of the cylinder (The base) will not be painted, so all we need to do is find the area of one of the bases. Radius x Radius x pi, in this case, is 50.24 in^2.

2. (((4+4)x3.14)x6) — Now we need to find the area of the side of the cylinder. The area of the side is base x height. The base length is the perimeter of the circle. The equation of the circle perimeter is (radius + radius) x pi. In numbers, it will be 8x3.14 which is 25.12. The height of the side is 6, so the equation will be 25.12 x 6, which is 150.72.

3. The surface area of the cylinder (excluding the base at the bottom) is 150.72 in^2.

Since the rectangular prism and the cylinder is stuck together and is considered as a whole, we add the two numbers together. 169.76 + 150.72 = 320.48 in^2!

Question 3)

The amount of water the cups can hold is the same size as the volume of individual cups. In order to find out the amount of water each cup can hold, we need to find the volume first.

Cup #1

1. (2x2x3.14)(2.25) — This is the base times the height of the bottom cylinder. The formula to find a circle is radius x radius x pi, and the height was 2.25. The volume of this shape will be 28.26 in^3.

2. (3x3x3.14)(1.5) — The area of the bottom is radius x radius x pi, and the height was 1.5 If we multiply all of these numbers together, we get 42.39 in^3.

3. Now that we found the two cylinders of the first cup, we can add them together. 28.26 + 42.39 = 70.65.

4. The area of cup #1 is 70.65 in^3.

Cup #2

1. (3.5 x 3.5 x 3.14)(6)(1/3) — The formula for finding the area of a cone is base x height x 1/3. The area of the base is radius x radius x pi, and the height is 6. Then we multiply by 1/3 (or divide by 3). Then, we get 76.93 in^3.

2. The volume of cup #2 is 76.93 in^3.

The question asks: How much more water will the larger cup hold?

Comparing 70.65 in^3 (First cup) and 76.93 in^3 (Second cup), we know that the second cup is bigger. To find the difference in the amount of water it can hold, we can subtract 70.65 from 76.93. This equals 6.28 in^3.

The final answer for Question 3 will be 6.28 in^3!

Answer:

(-∞, ∞)

Step-by-step explanation:

Solving :

Answer:

Subtract 5 from both sides

Step-by-step explanation:

Because you are rearanging for P as you want the solution for the inequality so you would chose this as it requires the least steps and is not trial and error like one of the other options

Answer:

The answer is option A

Step-by-step explanation:

The solution is in the image

Answer:

2664.8 miles left to drive

Step-by-step explanation:

4304 miles driven

subtract 1639.2 miles driven

total left is 2664.8 miles yet to drive

Answer:

1/3

Step-by-step explanation:

2 divided by 1/6

2/1 divided by 1/6

2/6 ---> Simplify: 1/3

Answer:

12

Step-by-step explanation:

the answer is 12 because 2 dived by 1/6 is 12 i used a calculator to fund the answer btw

The option that best describes independent events is the results of all previous events do not affect the probability of future events.

Independents events are events whose occurrence do not depend on each other. They are random events.

For example, there is no relationship between the the colour of shoes you wear and the chances that it would rain. Thus, they are independent events.

To learn more about independent events, please check: https://brainly.com/question/13075229

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Answer:

D ✔️

Step-by-step explanation:

"The results of all previous events do not affect the probability of future events."

Answer:

-0.8

Step-by-step explanation:

We can change -1/4 to -0.25. Now, we just multiply and get -0.8

Hope this helped you! I would appreciate a Brainliest if this helped you! Thank you and have a good day!

Answer:

linear is correct

Step-by-step explanation:

Answer:$89.00

Step-by-step explanation:22 times 2 is 44.

15 times 3 is 45.

44 plus 45 is 89

Answer:

$89.00

Step-by-step explanation:

2 adults = $22 x 2 = $44

3 children = $15 x 3 = $45

$44 + $45 = $89.00

Hope this helps!

Answer:

1. 519.75 cm^3

2. 19.22 cm^3

3. 613.6 cm^3

4. 1365.68 cm^3

Step-by-step explanation:

Hello again, similar to the other questions, these problems use the same formulas.

1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.

2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm

3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.

4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3

Answer:

it is more easier to use a histogram and accurate

Answer:

Line graph

Step-by-step explanation:

A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.

I wouldn't choose a histogram because a histogram is used to summarize continuous data.

As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.

Answer:

Anwer is (z.50)+(z.2) since expanding it is z.52

Answer:

Angle VSR = 135 degrees.

Step-by-step explanation:

since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.

Answer:

i would say satisfied because you broke even. Because then you still work the same as you did, because before that you were breaking even every month. So you are not getting paid any extra

Step-by-step explanation:

Answer: 97/125

Step-by-step explanation:

Answer:

320˚ left

Given that:

Total angle: 360˚

Angle Eaten: 40˚

Left:

Total angle - Angle Eaten

360˚ - 40˚

320˚

The value of the np is 10, and the value of the nq is 40 which is less than 5 also the hypothesis H0: p = 0.20 versus H1: p<0.20

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

We have:

n = 50

p = 20% = 0.02

q = 1-p = 1- 0.02 = 0.08

[tex]\rm n_p = 50 \times 0.20 = 10\\\\\rm n_q = 50\times 0.80 = 40[/tex]

[tex]\rm n_q > 5\\\\\rm n_p > 5[/tex]

The conditions are verified for this test.

Null hypothesis H0: The number of ships arriving in ports with hazardous cargoes has remained constant.

Alternative hypothesis H1:  The number of ships arriving in port with polluted goods has dropped.

H0: p = 0.20 versus H1: p<0.20

Thus, the value of the np is 10, and the value of the nq is 40 which is less than 5 also the hypothesis H0: p = 0.20 versus H1: p<0.20

Learn more about the null hypothesis and alternative hypothesis here:

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Answer:

es lo que es

Step-by-step explanation:

Answer:the probabilities of getting a head and a tail are equal to 12 . The probability of getting an even number on a die is 36=12

Step-by-step explanation:because among 6 results there are 3 even numbers.