Using the net below, find the surface area
of the triangular prism.
am
6 cm
7 cm
7 cm
4 cm
4 cm
Surface Area = [?] cm²

Randy sells, in average, 460 vacuum cleaners per month.

First, we know that Janice sells 690 units per year.

There are 12 months in a year, so the amount that she sells, in average, per month is:

J = 690/12 = 57.5

This means that Janice sells, in average, 57.5 units per month. And Randy sells 8 times as many, then we can solve the product:

R = 8*57.5 = 460

This means that Randy sells 460 units per month.

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The correct answer is 0.3

                X :  -10     -5      0        5     10       15       20          

     P(X)=f(x): 0.20   0.15   0.05   0.1  0.25     0.1   0.15

  probability of -5≤x≤5

              ⇒ P(-5≤x≤5) = 0.15 +0.05+0.1 = 0.3

Hence, the answer of the given question is 0.3.

To learn more about random variables, refer to:

Step-by-step explanation:

-2g(1+g)

-2g - 2g²

(-2)g - (2)g²

Answer:  25

Reason:

The exponent 25 is not a multiple of 3. If it was something like 24, then we would have a perfect cube as shown below

[tex]w = 125x^{18}y^3z^{24}\\\\w = 5^{1*3}x^{6*3}y^{1*3}z^{8*3}\\\\w=(5^1x^6y^1z^8)^3\\\\w = (5x^{6}yz^{8})^3\\\\[/tex]

When going from step 2 to step 3, I used the rule that [tex](abcd)^e = a^eb^ec^ed^e[/tex]. Basically the exponent e gets applied to each factor inside.

Answer:

25

Step-by-step explanation:

Answer:

144 days

Step-by-step explanation:

Let's put the efficiency in terms of   b

m = 3b      w = 2b       b=b

starting with    6 m  = 18 b

                        8w =   16 b

                        16b = 16 b           total 50 b

then increase   12m = 36b

                         18w = 36b

                         28b = 28 b    total = 100 b

You doubled 'b'  workers  so work time will be halved     to  144 days

The volume-to-surface-area ratio would be better for an ice cube is the highest possible one.

When you put ice into your drink, the goal is to have the ice chill your drink. This takes time. Therefore, you would want the ice to slowly melt and cool the drink for as long as you can.

You would want to have the highest possible volume to surface area ratio in an ice cube. If your ice cube is mostly surface area with less volume, it will melt quickly and water down your drink. If your ice cube has a higher ratio of volume to the surface area, it will stay solid longer and chill your drink longer.

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Answer:

10+12x

Step-by-step explanation:

1. simplify both sides using PEMDAS.

(2 x 2) − ((2 x 2x) 2) −2x

4-8x-2x

4-10x

− (3 x 2) + 4x + 10 −(3x 2) +4x+10

-6+4x-6x+4x+20

2x+14

2. (2x+14)-(4-10x)= 10+12x

sorry if its rong it was kinda confusing finfing if it was an x or multiplecation.

Answer:

  80

Step-by-step explanation:

The wording "130% more" suggests that we have the result of adding 130% of the original number to the original number.* This can be expressed as an equation to be solved for the original number.

__

Let x represent the original number. The given relation is ...

  184 = x + 130% × x

  184 = 2.30x . . . . . . . . . collect terms (130% = 1.3)

  80 = x . . . . . . . divide by 2.3

184 is 130% more than 80.

_____

* One needs to be a little careful here. You will often see the wording ...

"<some number> times more".

Usually the intention there is that the result is <some number> times the original amount. That is, percentages are often treated differently from other number expressions in problems like this.

Step-by-step explanation:

Soln:-

Given,

Area of sticker=56 cm^2

Width of sticker=7 cm

Length of sticker=?

We know that,

Area of rectangle=l×b

or,56=l×7

or,l=56÷7

•°•l=8

Hence,the required length of the sticker is 8 cm.

The number of days it will take to consume the given power = 4.5 days

The amount of power consumed per day = 1440watt-hours

Therefore X days = 6480 watt-hours?

Make X the subject formula;

X = 1 × 6480/1440

X = 4.5 days

Therefore, The number of days it will take to consume the given power = 4.5 days.

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The correct statement is AngleL = 25° AngleL' = 25°.

We have given that,

Triangle JKL is transformed to create triangle J'K'L'.

We have to choose the correct option.

The following information should be considered:

In a rigid transformation, the image & pre-image are congruent.

Reflection, translation, and rotation are rigid transformations.

In a non-rigid transformation, the image and pre-image are similar.

Dilation is a non rigid transformation.

In a rigid or nonrigid transformation, the corresponding angles are the same.

If the corresponding sides are the same, then it is a rigid transformation.

If the corresponding sides are proportional, then it is a nonrigid transformation.

It can be a rigid or a nonrigid transformation based on whether the corresponding side lengths have the same measures.

Therefore option 3 is correct.

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Answer:

This linear system has one solution.

Step-by-step explanation:

First equation: y = x + 2

Second equation: 6x - 4y = -10

Let's change the second equation in slope-intercept form y = mx + b.

Slope-intercept form

y = mx + b

m ... slope

b ... y-intercept

[tex]6x - 4y = -10[/tex]

[tex]6x + 10 = 4y[/tex]

[tex]\frac{6}{4}x + \frac{10}{4} = y[/tex]

[tex]\frac{3}{2}x + \frac{5}{2} = y[/tex]

If two lines have the same slope but different y-intercept, they are parallel - system has no solutions.

If two lines have the same slope and the same y-intercept, they are the same line and are intersecting in infinite many points - system has infinite many solutions.

If two lines have different slopes then they intersect in one point - system has one solution.

We see that lines have different slopes. First line has slope 1 and the other line has slope [tex]\frac{3}{2}[/tex]. So the system has one solution.

You can also check this by solving the system.

Substitute y in second equation with y from first.

6x - 4y = -10

6x - 4(x + 2) = -10

Solve for x.

6x - 4x - 8 = -10

2x = -2

x = -1

y = x + 2

y = -1 + 2

y = 1

The lines intersect in point (-1, 1). <-- one solution

The equation of nth term will be written as for n as will be ([tex]\rm a_n[/tex] - a₁ + d) / d. Then the correct option is D.

The missing options are attached to the picture given below.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The formula for the nth term of an arithmetic sequence can be found using the formula given below.

[tex]\rm a_n = a_1 + (n-1)d[/tex]

Then arrange the equation for n, we have

[tex]\begin{aligned} \rm a_n - a_1 & \rm = nd - d\\\\\rm a_n - a_1 + d & \rm =nd\\\\\rm n & \rm = \dfrac{a_n - a_1 + d}{d} \end{aligned}[/tex]

Then the correct option is D.

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Answer: The answer is D

Step-by-step explanation:

took the test

Hello, the answer should be $178.49.

If Devaughn earns $7.25 an hour at his job, we need to find out how much money he will make if he works for 37 hours.

[tex]37.(7.25)=268.25[/tex]

Next, we need to subtract the deduction amount from the total amount.

Net Equation will be defined as;

[tex]N=T-D[/tex]

[tex]N=(268.25)-(89.76)=178.49[/tex]

Good luck! If you have any questions, then feel free to ask in comments!

The expected value if I have to pick one package given the price I would have to pay is $0.11.

The expected value is the cost you would have to pay subtracted from the total value of one package.

Total value of one package  =[ (15 x 0.60) + (5 x 0.3) + (20 x 0.7)]/ (20 + 15 + 5) = $0.61

Expected value = $0.61 - $0.50 = $0.11

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Answer: The correct answer is D.

Step-by-step explanation: A and B is incorrect because the x value is 0. C is incorrect because the y-intercept is 3, not -3. Hence, it is D.

Answer: 130 degrees

Step-by-step explanation:

If we are assuming this is an isosceles trapezoid, then this means angles B and C are congruent.

The truck bed is 40cm .

A right-angled triangle is a triangle with one of its angle 90°.

Analysis:

The ramp, the height of the truck bed from ground and the distance of truck bed to the point the ramp makes contact with the ground form a right angle triangle.

So that sin 30 = height of truck bed above ground/length of ramp

sin 30 = height/80

height of the truck = 0.5 x 80 = 40cm

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Answer:

3/8

Step-by-step explanation:

2 + 3=5, (8/8)-( 5/8) =3/8

Answer:

3/8

Step-by-step explanation:

Answer:

[tex]{ \tt{f(x).g(x) = ( - 3 {x}^{2} + 4)( { - 8x }^{2} + 2x) }} \\ = { \tt{( - 3 \times - 8) {x}^{(2 + 2)} + (2 \times - 3) {x}^{(2 + 1)} + ( - 8 \times 4) {x}^{2} + (4 \times 2)x }} \\ = { \tt{24 {x}^{4} - 6 {x}^{3} - 32 {x}^{2} + 8x}}[/tex]

The system of inequalities with no solution is x > 3 x < 1

The systems of inequalities are given as:

x < 3 x < 1

x > 3 x > 1

x < 3 x > 1

x > 3 x < 1

As a general rule, it is impossible for a variable to be greater than a higher number and less than a smaller number.

This means that if x is greater than 3, then it must be greater than 1

Hence, the system of inequalities with no solution is x > 3 x < 1

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Answer:

9 and 6

Step-by-step explanation:

You see, 9x2=18 and 6x3=18

Answer:

9

Step-by-step explanation:

[tex]f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9[/tex]

Answer:

f(x)= 2x² - 4x + 3

Step-by-step explanation:

dy/dx = 4x - 4

y = integrate dy/dx

y = 4x²/2 - 4x + c

y = 2x² - 4x + c

at (2,3)

3 = 2(2)² - 4(2) + c

3 = 8 -8 + c

c = 3

therefore f(x)= y = 2x² - 4x + 3

The graph of the function is given by f ( x ) = 2x² - 4x + 3

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

At each point (x, y) on a graph of function f, the graph has a slope equal to 4x - 4

So , dy/dx = 4x - 4

On integrating , we get

f ( x ) = 2x² - 4x + c

where the function passes through P ( 2 , 3 )

So , 3 = 2 ( 2 )² - 4 ( 2 ) + c

c = 3

Hence , the function is f ( x ) = 2x² - 4x + 3

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Answer:

283038 or 2.83038×10⁵

Step-by-step explanation:

Answer:

4.66

14÷ 3 = 4 r 2

add 0 to 2 ( this attracts a decimal point in your answer)

20 ÷ 3 = 6r 2

and = 4.66

Answer:

$46.272

Step-by-step explanation:

Answer:

skewed to the right

Step-by-step explanation: