question 1: find the volume of a cube whose total surface area is 486cm^2

Answer:

20 seconds

Step-by-step explanation:

The speed of A is:

sA = 18 units / 3 seconds = 6 units/second

The speed of B is:

sB = -15 units / 3 seconds = -5 units/second

The relative speed is:

s = sA − sB

s = 6 units/second − (-5 units/second)

s = 11 units/second

The time for the distance between them to be 220 units is:

220 units = 11 units/second × t

t = 20 seconds

1 inch on the drawing represents 11 feet in the labyrinth middle school.

Step-by-step explanation:

Step 1:

The labyrinth middle school is much larger than the drawing. For 33 inches on the drawing, it is 363 feet on the actual school.

So 33 inches on the drawing is equal to 363 feet in the labyrinth school.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, the drawing that Tabitha drew is after scaling and the labyrinth middle school is the measurement before scaling

The scale factor [tex]= \frac{33}{363} = \frac{1}{11}.[/tex]

So the scale factor is [tex]\frac{1}{11}[/tex]. This means that 1 inch on the drawing is 11 feet in the actual school.

Answer:

42.3 percent was the tax and tip combined.

Step-by-step explanation:

Given : A $18.00 haircut cost $25.63 after tax and tip.

To find : What percent was the tax and tip combined?

Solution :

Using sales tax formula,

[tex]\text{Sales tax}=\text{Rate}\times \text{Original price}[/tex]

Original price = $18

After tax and tip cost is $25.63

Sales tax = After tax and tip cost - Original cost

Sales tax = $25.63 - $18

Sales tax = $7.63

Substitute the values,

[tex]7.63=\text{Rate}\times 18[/tex]

[tex]\text{Rate}=\frac{7.63}{18}[/tex]

[tex]\text{Rate}=0.423[/tex]

Into percentage,

[tex]\%\text{Rate}=0.423\times 100=42.3\%[/tex]

Therefore, 42.3% was the tax and tip combined.

The value of x is 8.

Solution:

Given line p is parallel to line q.

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

(11x - 5)° = (7x + 27)°

11x° - 5° = 7x°  + 27°

Add 5° on both sides.

11x° = 7x°  + 32°

Subtract 7x° from both sides.

4x° = 32°

Divide by 4 on both sides.

x° = 8°

x = 8

The value of x is 8.

Answer:

X = 155

Step-by-step explanation:

You subtract 180 and 33 to get 147 and add 8 to that and you get 155 as your answer

Answer:

x = 155

Step-by-step explanation:

Step 1:  Distribute

x - 8 + 33 = 180

Step 2:  Combine like terms

x + 25 - 25 = 180 - 25

x = 155

Answer:  x = 155

360⁰......12

x.............8/5=1.6

Thus:

x=1.6×360/12=1.6×30=48⁰

Answer: x=48⁰

Answer: The central angle of the arc is 48 degrees.

Step-by-step explanation: The question has provided the first clue, which is the circumference of the circle, given as 12 units. Also the length of an arc along the same circumference has been given as 8/5 units. The circumference of a circle is calculated as

Circumference = 2Pi x radius

Also the length of an arc is calculated as

Length of an arc = (X/360) x 2Pi x radius (where ‘X’ is the angle subtended by the arc).

Having known the answer to 2Pi x radius which is 12, and the length of the arc which is 8/5, we can now express the length of an arc as

Length of an arc = (X/360) x 2Pi x radius

8/5 = (X/360) x 12

By cross multiplication we now have

(8 x 360)/ (5 x 12) = X

2880/60 = X

48 = X

Therefore the central angle of the arc is 48 degrees.

Answer:

3(4+8)

Step-by-step explanation:

Answer:

3 * (4 + 8)

Step-by-step explanation:

Step 1:  Convert words into an expression

3 times the sum of 4 and 8

3 times = 3 *

Sum of 4 and 8 = (4 + 8)

3 * (4 + 8)

Answer:  3 * (4 + 8)

The Bonferroni correction is the post hoc test calculated by dividing the desired level of significance by the number of comparisons. This test is used to control the Familywise Error Rate, thereby reducing the likelihood of a Type I error.

The post hoc test that is calculated by dividing the desired level of significance, commonly denoted as 'a', by the number of comparisons being made is known as the Bonferroni correction. This adjustment method is designed to control the Familywise Error Rate (FWER), this is, the probability of making one or more Type I errors (rejecting the null hypothesis when it is true) in a set of hypotheses.

For example, if you set your 'desired a level' (also known as the level of significance of the test) at 0.05 and you were making five comparisons, the Bonferroni correction would deflate your 'a level' to 0.05/5 = 0.01.

Therefore, you would only reject a null hypothesis if the p-value for that comparison was less than 0.01, rather than the 0.05 that you originally specified. The effect of this correction is that it makes it harder to reject individual null hypotheses, making the test more conservative and reducing the likelihood of a Type I error.

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Answer:

7 mph

Step-by-step explanation:

21/3 = 7 so Xavier runs 7 miles per hour

The gradient of the graph is 2.

Solution:

Let the points on the graph are (-2, 0) and (0, 4).

Here [tex]x_1=-2, y_1=0, x_2=0, y_2=4[/tex].

Gradient of the graph:

[tex]$\text{Gradient }= \frac{y_2-y_1}{x_2-x_1}[/tex]

               [tex]$= \frac{4-0}{0-(-2)}[/tex]

               [tex]$= \frac{4-0}{0+2}[/tex]

               [tex]$= \frac{4}{2}[/tex]

Cancel the common terms, we get

Gradient = 2

The gradient of the graph is 2.

Answer:

9 is the coefficient

-4 is the constant

There are 3 terms in the expression.

Step-by-step explanation:

The expression 5a + 9b - 4 consists of three terms: 5a, 9b, and -4. The coefficients are 5 and 9, while the constant is -4.

The expression 5a + 9b - 4 consists of three terms. Each term represents a part of the expression that is separated by + or - signs.

In this expression, 5a, 9b, and -4 are the terms.

The coefficient is the number that multiplies the variable. In this expression, the coefficients are 5 and 9.

The constant is a term that does not have a variable attached to it. In this expression, the constant is -4.

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Answer:

The time is independent of the months we multiply these minutes as grouping with subject impression or importance. This way within the frequency you can see 263340 represents what score you are looking for importance ie) 20/20 for your book choice. This is 8 days which fits better for a monthly review 8,8,8 and 6. Which would easily be readable in the minute totals.

240= 8 nights  180 minutes = 6 nights. Having a frequency helps determine patterns for  book interest and study.

Step-by-step explanation:

         Subjects (imp)                  Minutes (M P/D)             F(Frequency)

score 1-3                                     30                                   60

         4-6                                     60                                  300

         7-9                                     60                                  420

        10-12                                   90                                  990

Total  26                  +                240   ...266 x990  = 263340                                                                                          

Answer:

The Co-ordinates of D are (3,0)

Step-by-step explanation:

x= x₁ +x₂ /  2        ,     y= y₁+y₂  /2

-1 = -5 + x₂  /2       ,  3 = 6+y₂ /2

Solve them and u ll get the ans

Answer:

D

Step-by-step explanation:

The correlation coefficient, r value, measures the strength and direction of 2 variables in a scatterplot. It ranges from +1 to -1.

+1 means a perfect positive correlation

-1 means a perfect negative correlation

0 means there is no correlation

Also,

a value close to 0.7 would signify a strong relationship (whether positive or negative)

a value close to 0.5 indicates a moderate relationship

a value close to 0.3 indicates a weak relationship

Now, the question says the r value is 0.315

THis is POSITIVE

Also, this is a "weak" relationship

Thus, we can say:

It has weak correlation, or answer choice D

D is right.

Answer:

Strong negative correlation

Step-by-step explanation:

AP3X

Answer:

The answer is -5

Step-by-step explanation:

[tex]\mathrm{Group\:like\:terms}\\x+2x+20=10-2x-15[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:x+2x=3x\\3x+20=10-2x-15[/tex]

[tex]\mathrm{Group\:like\:terms}\\3x+20=-2x+10-15[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:10-15=-5\\3x+20=-2x-5[/tex]

[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}\\3x+20-20=-2x-5-20[/tex]

[tex]\mathrm{Simplify}\\3x=-2x-25[/tex]

[tex]\mathrm{Add\:}2x\mathrm{\:to\:both\:sides}\\3x+2x=-2x-25+2x[/tex]

[tex]\mathrm{Simplify}\\5x=-25[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{-25}{5}[/tex]

[tex]\mathrm{Simplify}\\x=-5[/tex]

Hope this helps you greatly!

Have a great afternoon!

Let's say you wanted to add 2 and 7

One way is you start at 2 on the number line, then move 7 units to the right until you land on 9. This visually shows 2+7 = 9.

Or you could start at 7 and move 2 units to the right, and you'll end up at 9 as well. You can think of it like 2+7 and 7+2 are the same thing.

Answer:

If a figure is not a polygon, then the sum of the exterior angles is not 360.

Step-by-step explanation:

The converse of the given statement is -

"If a figure is a polygon, then the sum of the exterior angles is 360°."

You can write the converse of a conditional statement by reversing the hypothesis and conclusion with each other.

Given is the statement as -

"If the sum of the exterior angles of a figure is 360°, then the figure is a polygon.”

        "If A then B" → "If B then A"

        If a figure is a polygon, then the sum of the exterior angles is 360°.

Therefore, the converse of the given statement is -

"If a figure is a polygon, then the sum of the exterior angles is 360°."

To solve more questions on converse statements, visit the link below -

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5+7=12-35=23

EQUATION. 12+1.85x=35

ANSWER. 12 RIDES

Answer

. 12 RIDES

Step-by-step explanation:

Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

Solution:

Length of the prism = 13 in

Width of the prism = 10 in

Height of the prism = 20 in

Lateral surface area of the prism = 2(l + w)h

                                                       = 2(13 + 10) × 20

                                                       = 2(23) × 20

                                                       = 920 in²

Lateral surface area of the prism = 920 in²

Total surface area of the prism  = Lateral area + 2lw

                                                     = 920 + 2 × 13 × 10

                                                     = 920 + 260

Total surface area of the prism  = 1180 in²

Hence Lateral surface area of the prism = 920 in²

Total surface area of the prism  = 1180 in²

The lateral surface area of a prism is found by multiplying the perimeter of the base shape by the height of the prism. The total surface area is the lateral surface area plus twice the area of the base shape. The formulas are applied differently depending on the base shape of the prism.

To find the lateral surface area (SA) and the total surface area of the prism, we need to apply the correct formulas. The lateral SA for a prism is the perimeter of the base shape times the height. The total SA is the lateral SA plus twice the area of the base shape.

For example, let's use a rectangular prism with dimensions: length (l)=5 cm, width (w)=3 cm, and height (h)=10 cm. The lateral SA = 2*h*(l+w) = 2*10*(5+3) = 160 sq cm. The base shape has area = l*w, so total SA = 2*lw + lateral SA = 2*(5*3) + 160 = 30*2 + 160 = 220 sq cm.

In similar manner, the formula can be adjusted depending upon the base shape of the prism like for a triangular prism, square prism, etc.

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Solution:

Given inequality is:

[tex]4n + 6 > 22[/tex]

Substitute n = 2

[tex]4(2) + 6 > 22\\\\8 + 6 > 22[/tex]

14 is not greater than 22

Thus, n = 2 does not satisfy the given equation

Substitute n = 3

4(3) + 6 > 22

12 + 6 > 22

18 is not greater than 22

Thus, n = 3 does not satisfy the given equation

Substitute n = 4

4(4) + 6 > 22

16 + 6 > 22

22 is equal to 22

Thus, n = 4 does not satisfy the given equation

Substitute n = 5

4(5) + 6 > 22

20 + 6 > 22

26 > 22

26 is greater than 22

Thus, n = 5 satisfies the given equation

Answer:

Step-by-step explanation:

step 1 y = 30000 + 2000x

step 2 y - 30000 = 30000 + 2000x - 30000

step 3 y - 30000 = 2000x

step 4 y-30000/2000 = 2000x/2000

step 5 y - 30000/2000 = x

step 6 50000 - 30000/2000 = x

step 7 10 = x

therefore the correct option should be

Peter used the division property of equality in step 4.

Peter used the subtraction property of equality in Step 5 of his savings plan equation to determine how much more he needs to save. He subtracted his current savings from his goal to get the remaining amount that has to be saved.

The statement that is true based on the steps provided is C. Peter used the subtraction property of equality in step 5. To explain, in step 5, Peter was using the subtraction property of equality when he subtracted $30,000 from his goal of $50,000. The subtraction property of equality states that if you subtract an equal amount from both sides of an equality, it still remains equal. In this case, he subtracted his current savings (i.e., $30,000) from his target amount (i.e., $50,000) to determine how much more money he has to save.

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Answer:

Jelly beans are $2.25/pound, trail mix $3,25/pound

Step-by-step explanation:

Let’s say that the cost of a pound of jelly beans is x, and that the cost of a pound of trail mix is y.

We can then say that 6 pounds of jelly beans + 2 pounds of trail mix, or 6x+2y, equals 20.

Next, 3x+5y=23, and we have

6x+2y=20

3x+5y=23

We can multiply the whole second equation by -2 and add it to the first one to get rid of the x, so -8y=-26. Divide both sides by -8, and a pound of trail mix, or y, is 26/8, or $3.25. Plugging this back into the first equation, we get that

6x+2(26/8)=20, so (20-2(26/8))/6=x=2.25, or the cost of one pound of jelly beans

To solve for the cost per pound of jelly beans and trail mix, create and solve a system of algebraic equations using the provided information. Multiply and subtract equations as needed to eliminate one variable and solve for the other, then back-substitute to find the second value.

The question involves a system of two equations based on the prices of jelly beans and trail mix. We can use algebra to solve for the cost per pound of each. Let's denote the cost per pound of jelly beans as j and the cost per pound of trail mix as t.

The two equations based on the given information are:

To solve these equations, we can use either substitution or elimination. Let's use the elimination method:

After solving, we will find the costs per pound for jelly beans and trail mix.

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Answer:

x  = 4

Step-by-step explanation:

We can find the answer to this by solving the equation:

3x - 4 = 8

3x - 4 + 4 = 8 + 4

3x = 12

x  = 4

Answer:

y-6

Step-by-step explanation:

Y minus six

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

I think this is your corrected question:

Point S is located at (9,-3). Point T is located at (4,-3). What is the distance from point S to point T?

Here is my answer:

S (9. -3) <=> x1 = 9, y1 = -3

T (4, -3) <=> x2= 4, y2 = -3

As we can see, the two coordinates are located in the same line y =-3 so the distance between two points: x1 -x2 = 9-4=5 horizontally.

Answer: 2 solution keys

Step-by-step explanation:

Although question has True or False as solution, while the multiple questions are four, solution keys still equals 2, since True in an option in the four questions, false is another option in the four questions.

I hope this helps.

Answer:

  24/25

Step-by-step explanation:

The usual form of the double-angle identity is for sine is ...

  sin(2x) = 2sin(x)cos(x)

The cosine can be found from the sine using the Pythagorean identity ...

  sin(x)² + cos(x)² = 1

  cos(x) = √(1 -sin(x)²)

__

Filling in the given value for sin(x), we can find the cosine to be ...

  cos(x) = √(1 -(4/5)²) = √(9/25) = 3/5 . . . . . . . assuming a first-quadrant angle

Then the desired sine is ...

  sin(2x) = 2sin(x)cos(x) = 2(4/5)(3/5)

  sin(2x) = 24/25

Answer:

y = -x/7 + 12/7

Step-by-step explanation:

We are requested to find the standard equation of a line

We are given two points

E and F

E ( -2 , 2)

F ( 5 ,1 )

Step 1: find the slope

m = y_2 - y_1 / x_2 - x_1

x_1 = -2

y_1 =2

x_2 = 5

y_2 = 1

Inserting the values

m = 1 - 2 / 5 - (-2)

m = 1 -2 / 5 + 2

= -1 / 7

Slope = -1/7

Step 2: using the point slope form

y - y_1 = m( x - x_1)

Using point ( 5, 1)

x_1 = 5

y_1 = 1

m = -1/7

Insert the values

y - 1 = -1/7(x - 5)

y - 1 = -1(x - 5)/7

Open the bracket with -1

y - 1 =( -x + 5) / 7

following the equation of a line

y = mx + C

y = (-x + 5)/7 + 1

LCM = 7

y = (-x + 5+ 7) / 7

y = (-x + 12)/7

We can still separate

y = -x/7 + 12/7

The standard equation of a line is

y = -x/7 + 12/7

Answer:

0.7860

Step-by-step explanation:

Answer:

0.7860

Step-by-step explanation:

It is because there is no "and." If it were to say: seven hundred and eighty-six thousandths it would be 700.860.

Whenever it ads "ths" at the end it will be a decimal.