Find the total surface area of the triangular prism.

Answer:

87.5

Step-by-step explanation:

A = base1 + base2/ 2 * h

A = 10 + 15/2 * 7 = 87.5

Answer:  shift 2 units right, and 4 units down

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Explanation:

The x+2 means to shift the point 2 units to the right.

For instance, the point (5,13) moves to (7,13) after adding 2 to the x coordinate.

The y-4 means to shift the point 4 units down. Example: (10,8) moves to (10,4) after subtracting 4 from the y coordinate.

Overall, (x,y)→(x+2,y-4) means "shift 2 units right, and 4 units down"

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

Example:

Let's apply the rule to the point (1, 7)

(x,y)→(x+2,y-4)

(1,7)→(1+2,7-4)

(1,7)→(3,3)

Answer:

1 sheet costs 1.6 cents

Step-by-step explanation:

The total cost of the toner is 40 dollars which is good for 10000 pages.

The cost of 500 sheets of paper is 6.00 dollars or 600 cents

500 sheets / 600 cents = 1 sheet /x         Cross Multiply

500 sheets  x = 600 cents                        Divide by 500

x = 600/500

x = 1.2 cents.

10000 sheets cost 40 dollars. = 4000 cents

1 sheet      costs x

10000/1 = 4000/x                          Cross multiply

10000*x = 1 * 4000                        Divide by 10000

x = 4000/10000

x = 0.4 cents.

Total Cost for 1 sheet = 0.4 cents + 1.2 cents

Total Cost for 1 sheet = 1.6 cents.

Answer:

If the arrow is pointing to the -2, that’s the constant.

If the arrow is pointing at x, that’s the variable.

If the arrow is pointing at 3, that’s the coefficient.

Answer:

ggjojjytdhiteeyuterrt

The approximate ratio of the diameter of the Sun to the diameter of Mars is 200. This means that the diameter of the Sun is approximately 200 times larger than the diameter of Mars.

The approximate ratio of the diameter of the Sun to the diameter of Mars can be found by dividing the diameter of the Sun by the diameter of Mars.

Given that the diameter of the Sun is about 1.4x10^6 km and the diameter of Mars is about 7000 km, we can calculate the ratio as follows:

1.4x10^6 km ÷ 7000 km

To divide these values, we can simplify the equation by canceling out the common factor of 1000:

(1.4x10^6 ÷ 1000) km ÷ (7000 ÷ 1000) km

Simplifying further, we have:

1.4x10^3 km ÷ 7 km

Dividing these values gives us:

200 km

Therefore, the approximate ratio of the diameter of the Sun to the diameter of Mars is 200. This means that the diameter of the Sun is approximately 200 times larger than the diameter of Mars.

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The centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean are bar-x = 53.4, UCL= 53.8120, and LCL= 52.8880.

As per data that temperatures are taken from 10 different locations on the floor at the same time for 7 days.

The means of the temperatures are recorded in the table. And the mean of the ranges as 1.5°F.

Then, we have to find the centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean.

The data is given below: Locations Temperature means.

|1|53.4|2|53.3|3|53.3|4|53.2|5|53.4|6|53.5|7|53.4|8|53.5|9|53.6|10|53.3|

Mean bar-x = (Sum of means of all 10 locations)/10

            = (53.4+53.3+53.3+53.2+53.4+53.5+53.4+53.5+53.6+53.3)/10

            = 53.4

LCL = bar-x - 3(Range Mean/1.128)

       = 53.4 - 3(1.5/1.128)

       = 52.888

UCL = bar-x + 3(Range Mean/1.128)

       = 53.4 + 3(1.5/1.128)

       = 53.812

Therefore, the centreline bar-x, the upper control limit (UCL), and the lower control limit (LCL) needed to construct a control chart for the process mean are bar-x =53.4, UCL=53.8120, and LCL=52.8880.

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Answer:

5x +35

Step-by-step explanation:

you woul use the distrubitive property

so multiply  by x and and 7

so it becomes 5x +35

Answer:

d. d<2/3 or g>2

Step-by-step explanation: I got it right on the test!

Answer:

Step-by-step explanation:

Like terms are terms that have same variable with same power.

Combine like terms.

5a - 6b - 3a - 2b = 5a - 3a  - 6b - 2b

                           = 2a - 8b

Answer:  

B = 17

C = 28

D = 16

E = 15

F = 18

Hope this Helps! If not I'm sorry :/

The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

720 I know this because i did this :)

Step-by-step explanation:

The 95% confidence interval for the proportion p is (0.156, 0.302)

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate a 95% confidence interval for the proportion p, we can use the following formula:

p ± z√(p(1-p)/n)

where p is the sample proportion (37/161), z is the critical value for a 95% confidence level (1.96 for a large sample size), and n is the sample size (161).

Plugging in these values, we get:

p ± z√(p(1-p)/n)

= 0.229 ± 1.96√((0.229)(0.771)/161)

= 0.229 ± 0.073

Therefore, the 95% confidence interval for p is (0.156, 0.302).

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Answer:

B

Step-by-step explanation:

increasing would be going into positive numbers and decreasing would be going into negative numbers

Answer:

Step-by-step explanation:

343

Answer:1, 3, 9, 27

Step-by-step explanation:

The largest number of permutations of all it's letters is been

Answer:

1)

a. 5.29 cm

b. 17.8 m

c. 9.75 in

d. 12 cm

e. 8.31 ft

f. 25.46 m

Step-by-step explanation:

Have a good day :)

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (-11, -19) & (-11, -10)

The slope is

\(m = \frac{ - 10 - - 19}{ - 11 - - 11} = \frac{ - 10 + 19}{ - 11 + 11} = - \frac{9}{0} \\ \)

Any number divided by zero is undefined so the slope of the line here is undefined.

Hope this helps you

As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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The volume of the Solid -

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

What is volume?

Volume is a measure of the amount of three-dimensional space occupied by an object or a region. It quantifies the extent or size of a solid object or a container. In simpler terms, volume is a measure of how much space an object takes up.

What is integral?

In mathematics, an integral is a fundamental concept in calculus that allows us to compute the total accumulation of a quantity over a given interval. It is used to find the area under a curve, the length of a curve, the volume of a solid, and many other applications.

To find the volume of the solid enclosed by the paraboloid z = 3x^2(y - 2)^2 and the planes z = 1, x = -2, x = 2, y = 0, and y = 2, we need to set up a triple integral over the given region.

The limits of integration for x, y, and z are as follows:

x: -2 to 2

y: 0 to 2

z: 1 to 3x^2(y - 2)^2

The volume V can be calculated as follows:

V = ∫∫∫R dz dy dx

where R represents the region defined by the given planes.

V = ∫∫∫R 3x^2(y - 2)^2 dz dy dx

To evaluate this triple integral, we integrate with respect to z first, then y, and finally x, using the given limits of integration:

V = ∫[-2,2] ∫[0,2] ∫[1,3x^2(y-2)^2] 3x^2(y - 2)^2 dz dy dx

Performing the integration:

V = ∫[-2,2] ∫[0,2] [3x^2(y - 2)^2z]∣[1,3x^2(y-2)^2] dy dx

V = ∫[-2,2] ∫[0,2] 3x^2(y - 2)^2[3x^2(y-2)^2 - 1] dy dx

V = ∫[-2,2] [x^2(y - 2)^2(3x^2(y-2)^2 - 1)]∣[0,2] dx

V = ∫[-2,2] 4x^2(2x^2 - 1)(12x^2 - 1) dx

Evaluate this integral using appropriate techniques or numerical methods, such as numerical integration or computer software, to find the volume of the solid enclosed by the paraboloid and the given planes.

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The volume of the box is the amount of space that it occupies. The volume can be determined by multiplying the length, width, and height of the box together. It is often measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). Therefore, the volume of the box cannot be determined without knowing the dimensions of the box.

To determine the volume of the box, we will have to know the dimensions of the box. Once we know the dimensions of the box, we will be able to determine the volume of the box using the formula, volume = length × width × height.

Emily convinced her mom to buy a giant box of her favorite cereal. However, her mom doesn't think the box will fit on their shelf. To find out if the box will fit on their shelf, we need to determine the dimensions of the box. Once we know the dimensions of the box, we will be able to determine the volume of the box using the formula. If the volume of the box is greater than the space available on their shelf, the box won't fit on the shelf. If the volume of the box is less than the space available on their shelf, the box will fit on the shelf.

The volume of the box can be determined by multiplying the length, width, and height of the box together. Therefore, the dimensions of the box are required to determine the volume of the box.

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Answer:

2.

Step-by-step explanation:

3-2(-1)<7

3+6<7

Answer:

The slope is 0

Step-by-step explanation:

Since the y´s repeat then there is no slope

Answer:

y=3x+9

Step-by-step explanation:

y=3x-4

Parallel slope means that the slope would be the same

y=mx+b      (-1,6)

y=6   m=3   x=-1

6=(3)(-1)+b

6=-3+b

add 3 on both sides

9=b

y=3x+9

Answer:

y=2x=2

Step-by-step explanation:

bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time

Answer:

1 and 3

Step-by-step explanation:

Answer: B and E

Step-by-step explanation:

These triangles are all congruent.  Thus, they occupy the whole circle, all 360 degrees.  That means that each arc and center angle = 120 degrees, or 360/3.

Hope it helps <3

The bearing between Point A (N 1147.8000 E 710.4700) and Point B (N 1489.1700 E 138.5700) is computed as ON 30°49'59"W.

To compute the bearing between Point A and Point B, we need to determine the directions from Point A to Point B. The coordinates for Point A are N 1147.8000 E 710.4700, while the coordinates for Point B are N 1489.1700 E 138.5700. The bearing is given as ON 30°49'59"W, which means the direction from Point A to Point B is approximately 30 degrees, 49 minutes, and 59 seconds west of north. This indicates the angle between the north direction and the line connecting Point A and Point B.

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