How are graphs with a nonzero axis misleading? -They distort differences between values. -They rely on faulty data. -They are visually distracting. -The scales on the axes are consistent.

Let's assume the unknown number is x and as another one is 5 times the number then second number is 5x

》x × 5x = 245

》5x square =245

》x square =245÷5

》x square =49

》x=7

So 5x = 5×7=35

Answer:

  (d)  remains the same as production increases

Step-by-step explanation:

All of the numbers in the Marginal Revenue column are the same. That means we can conclude marginal revenue ...

  remains the same as production increases.

Answer:

 (d)  remains the same as production increases

Step-by-step explanation:

Answer:

$11.00

Explanation:

$60 given - $49 order = $11 change

Answer:

It's 11 because 60-49 equals 11.

Step-by-step explanation:

Answer:

a 2 and b -20

Step-by-step explanation:

Answer:

a = 2 and b = -20

Step-by-step explanation:

4(ax^2 -5x+3)=8x^2 +bx+12 should be multiplied out.  Next, we equate the coefficients of the several powers of x:

4ax² - 20x + 12 = 8x² + bx + 12

Then 4a = 8, so a = 2

and   -20 = b

Answer:

2.74

Step-by-step explanation:

The height of the apple when it hits the ground is zero

Equate to zero and solve for t

- 16t² + 120 = 0 ( subtract 120 from both sides )

- 16t² = - 120 ( divide both sides by - 16 )

t² = 7.5 ( take the square root of both sides )

t = [tex]\sqrt{7.5}[/tex] ≈ 2.74

Answer:

37 units

Step-by-step explanation:

The horizontal distance between these two points is 35 and the vertical is 12.

Treat these distances as the lengths of the legs of a right triangle whose hypotenuse we want to determine:

d^2 = 35^2 + 12^2 = 1369, so d  = the distance between these two points = d = sqrt(1369) = 37 units

The difference between the points (15,-17) and (-20,-5) is calculated by subtracting the coordinates, resulting in a difference of (35, -12).

To find the difference between the two points (15,-17) and (-20,-5), we need to subtract the coordinates of the second point from the coordinates of the first point.

For the x-coordinates: 15 - (-20) = 15 + 20 = 35

For the y-coordinates: -17 - (-5) = -17 + 5 = -12

Therefore, the difference between the two points is (35, -12).

During the weekend sale, a total of 360 T-shirts were sold from the initial stock of 800 T-shirts in packs of 4. This resulted in 440 T-shirts leftover in stock after the sale.

In the context of the store scenario, we have an initial stock of 800 T-shirts, which are sold in packs of 4 each. On Saturday, 20 packs are sold, resulting in a reduction of 20 packs times 4 shirts per pack, which equals 80 shirts. On Sunday, 70 more packs are sold, which corresponds to 70 packs times 4 shirts per pack, totaling 280 shirts sold on Sunday. Adding up the shirts sold on both days, we get 80 + 280, which equals 360 shirts sold in total during the weekend. To find the remaining stock, we subtract the total shirts sold from the initial stock: 800 shirts - 360 shirts = 440 shirts remaining after the sale.

Answer:

B. 6.5 ≤ x

Step-by-step explanation:

Nathan's pay for the week, including x extra hours, will be ...

250.25 +9.50x

We want that to be at least 312, so the inequality is ...

250.25 +9.50x ≥ 312

9.50x ≥ 61.75 . . . . . . . . subtract 250.25

x ≥ 6.5 . . . . . . . . . . . . . . divide by 9.5

The graph showing a solid dot at x=6.5 and an arrow extending to the right will be the correct graph of this solution.

the answer to this question would be c- 15.6

Answer:

A

Step-by-step explanation:

You need to distribute the 8 to everything in the equation. You need to keep the sign in the middle. So in the end you would get 8x+8y.

Final answer:

Option a), 8x + 8y, accurately represents the total number of erasers Shawn bought since it's obtained by distributing the number of boxes, 8, to both x and y inside the parentheses.

Explanation:

The expression 8(x + y) represents the total number of erasers Shawn bought, where x is the number of pink erasers in each box and y is the number of blue erasers in each box. Since Shawn bought 8 boxes, and each box contains x pink erasers and y blue erasers, we need to multiply the sum of pink and blue erasers in one box by the number of boxes to get the total. Hence, the correct expression that also represents the total number of erasers Shawn bought is option a), 8x + 8y which is obtained by distributing the 8 to both x and y inside the parentheses.

Answer:

He can make 52 canvases and will have 10 remaining staples

Step-by-step explanation:

1258/24=52 10/24

Answer:

52 canvases can be prepared and 10 staples will be remaining

Step-by-step explanation:

Sweet t has number of staples to create art canvases = 1258

Each canvas requires number of staples = 24

Let n canvases can be prepared by these staples.

Number of staples used in n canvases = 24n

The expression representing this process will be

24n = 1258

n = [tex]\frac{1258}{24}[/tex]

  = 52.42 canvases

Staples used to prepare 52 canvases = 52 × 24

= 1248

Remaining staples = 1258 - 1248

= 10 staples

Therefore, 52 canvases can be prepared and 10 staples will be remaining.

Answer: $10.40

Explanation:

First, find the cost of 1 box of pasta. 13/5 = 2.6, so $2.60 a box.

Next, find how many boxes there are. 48/12 = 4, so 4 boxes of pasta.

Finally, multiply 4*2.6 to get the final cost.

Answer:

11 degrees.

Step-by-step explanation:

"Angles T and U are a linear pair. Angle U measure (9x+6) and Angle T measures(6x+9). What is the value of x, in degrees?"

We know that a linear pair MUST add up to 180 degrees, therefore (9x+6)+(6x+9)= 180

Now for some algebra-

(9x+6)+(6x+9)= 180

6 and nine can both be divided by 3, so we will do that for simplicity:

((9x+6)+(6x+9)= 180)/3=

(3x+2)+(2x+3)=60

We will now separate the parenthesis, as they serve no purpose anymore.

(3x+2)+(2x+3)=60

3x+2+2x+3=60

Combine terms

5x+5=60

Take away the 5 to isolate the variables

5x+5=60

-5

5x=55

Divide by 5

5x=55

/5

x=11

The value of x is 11 degrees.

Answer:

Function 1 has the least minimum value and its coordinates are (2, -7).

Step-by-step explanation:

Two quadratic functions are shown.

Function 1:

[tex]f(x) = 2x^2 - 8x + 1[/tex]

Function 2:

x        g(x)

-2         2

-1         -3

0         2

1         17

LEts find the vertex to get the minimum value

to get the minimum value for function 1 we use formula [tex]x=\frac{-b}{2a}[/tex]

[tex]f(x) = 2x^2 - 8x + 1[/tex], a=2, b=-8

[tex]x=\frac{-b}{2a}=\frac{8}{2(2)}=2[/tex]

when x=2, the value of [tex]f(2) = 2(2)^2 - 8(2) + 1=-7[/tex]

minimum point of function 1 is (2,-7)

For function 2, we find the minimum point using the table

minimum point of function 2 is (-1,-3)

Function 1 has the least minimum -7.

Function 1 has the least minimum value and its coordinates are (2, -7).

The true statement is (b) function 1 has the least minimum value and its coordinates are (2, -7).

The first quadratic function is given as:

Factor out 2 in the above equation

[tex]f(x)= 2(x^2 - 4x) +1[/tex]

Rewrite the expression in the bracket, as follows:

[tex]f(x)= 2(x^2 - 4x + 4 - 4) +1[/tex]

This gives

[tex]f(x)= 2(x^2 - 4x + 4 ) -8+1[/tex]

[tex]f(x)= 2(x^2 - 4x + 4 ) -7[/tex]

Express x^2 - 4x + 4 as a perfect square

[tex]f(x)= 2(x - 2)^2 -7[/tex]

A quadratic function is represented as:

[tex]f(x)= a(x - h)^2 +k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

By comparison, we have:

From the graph, the minimum of function 2 is:

(2,-7) is lesser than (-1,-3).

Hence, the function 1 has the least minimum value at a coordinate of (2,-7)

Read more about quadratic functions at:

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Answer:

1 minute and 40 seconds or 1 2/3 minute

Step-by-step explanation:

If it took Scott 2 miles for 5 minutes, than it took him 2.5 minutes to do 1 mile. For 3 times as fast, we need to divide by 3. 2.5/3= 5/2*1/3=5/6. It is 2 miles, so 5/6*2=10/6=5/3=1 2/3 minute. 2/3 minute=40 seconds. So, the answer is 1 minute and 40 seconds or 1 2/3 minute.

Answer:

1 minute and 40 seconds or 1 2/3 minute(s)

Step-by-step explanation:

Answer:

4 Small, 6 Large

Step-by-step explanation:

We can start by finding values that would help add our two prices together.

We know that each large umbrella is $25, so if we keep adding until we can add up the umbrellas to 10, then we'll get our answer.

1 Large: $25

2 Larges: $50

3 Larges: $75

4 Larges: $100

5 Larges: $125

6 Larges: $150

Now don't forget, we need 10 umbrellas in total, and we know that we need 4 more umbrellas to get to 10, and we need 40 more dollars to get to 190.

40/10 = 4

6 Larges, 1 Small = $160

6 Larges, 2 Small = $170

6 Larges, 3 Small = $180

6 Larges, 4 Small = $190

Answer:

C. 58°

Step-by-step explanation:

m∠ACB=(180-138)°

m∠B + m∠A +∠mACB =180

80+ m∠A + (180 -138) =180

80 + m∠A - 138 = 0

m∠A = 58

Answer:

C

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ACD is an exterior angle of the triangle and

∠A and ∠B are the 2 opposite interior angles, hence

∠A + ∠B = 138, that is

∠A + 80 = 138 ( subtract 80 from both sides )

∠A = 58° → C

Answer:

3.3

Step-by-step explanation:

3 3/10 = 3 + 3/10 = 3 + 0.3 = 3.3

ANSWER

The swimming pool can hold 1,000,000 cubic feet of water.

EXPLANATION

The capacity of water the pool holds is the volume of water in the swimming pool.

The swimming pool is rectangular, therefore its volume can be calculated using the formula,

[tex]V = l \times w \times h[/tex]

where l=1000ft is the length, w=100ft is the width and h=10ft is the height of the pool.

We substitute all these values into the formula to get:

[tex]V = 1000 \times 100 \times 10 = 1000000 {ft}^{3} [/tex]

The swimming pool can hold 1,000,000 cubic feet of water.

The amount of water the pool can hold is  1,000,000 ft³.

In order to determine the amount of water the pool can hold, we have to determine the volume of the rectangular swimming pool. Since the swimming pool has the shape of a cuboid, the formula for the volume of a cuboid would be used.

Volume = length x width x height

1000 x 100 x 10 = 1,000,000 ft³

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Answer:

The largest angle is 6x,and 6x=90

So, the measure of the largest angle is 90

Step-by-step explanation:

First, you create an equation by adding the three angles together and equal to 180,because a triangle has 180 degrees.

The result will be 15.If x=15 ,you need to plug it in.

the largest angle is 6x,So, 6.15=90

90 degrees

The problem states the measures of three angles of a triangle as 4x-1, 2x+1, and 6x. According to the basic theorem that the sum of the angles in a triangle is 180 degrees, if we add these angles together, and equate them to 180, we get the equation 4x - 1 + 2x + 1 + 6x = 180. Adding like terms simplifies this to 12x = 180, and dividing each side by 12 gives us x = 15. Therefore, the largest angle is 6x, which would be 6 * 15 = 90 degrees.

Answer:

120 degrees aka answer D

Step-by-step explanation:

Answer:

D. 120°.

Step-by-step explanation:

Since the angle is obtuse (greater than 90), it cannot be 30°, since 30° is an acute angle.

The angle cannot be 90° since the angle is obtuse, and red curved line is not a square.

The line would be straight if the angle was 180°, so the most reasonable answer would be D. 120°.

Answer 8%, 1/8, 18%, 8/18, 0.8

Step-by-step explanation:

0.8 = 80%

1/8 = 12.5%

8/18 = 44.4%

8% < 12.5% < 18% < 44.4% < 80%

Answer:

(6x + 5)(7x² - 6)

Step-by-step explanation:

Factor the first/second and third/fourth term

42x³ + 35x² - 36x - 30

= 7x²(6x + 5) - 6(6x + 5) ← factor out (6x + 5) from each term

= (6x + 5)(7x² - 6)

Answer:

(6x+5)(7x2−6)

Step-by-step explanation:

Factor 42x3+35x2−36x−30

42x3+35x2−36x−30

=(6x+5)(7x2−6)

Answer:

x= 15/8

Step-by-step explanation:

we need to solve the equation to find the value of x by adding like terms and then finding the value of x.

[tex](\frac{1}{2})x+(\frac{3}{2})(x+1)-(\frac{1}{4})=5\\(\frac{1}{2})x + (\frac{3}{2})x + (\frac{3}{2}) - (\frac{1}{4}) = 5\\Adding\,\,like\,\,terms\,\\(\frac{(1+3)x}{2}) + (\frac{6-1}{4})=5\\(\frac{4x}{2}) + (\frac{5}{4})=5\\2x= 5- \frac{5}{4}\\2x = \frac{20-5}{4}\\2x= \frac{15}{4}\\x= \frac{15}{4*2}\\x= \frac{15}{8}[/tex]

The value of X is ratio of fifteen to eight. That is, x = 15/8

Algebraic equation comprises of unknown variables with equality sign.

To evaluate 1/2x+3/2(x+1)-1/4 = 5, Find the LCM in the left hand side.

[tex]\frac{x}{2}[/tex] + [tex]\frac{3(x+1)}{2}[/tex] - [tex]\frac{1}{4}[/tex] = 5

At the Left hand side, the L.C.M is 4

[tex]\frac{2x+6(x+1)-1 }{4} = 5[/tex]

Cross multiply

2x + 6x + 6 - 1 = 20

8x + 5 = 20

Collect the like terms

8x = 20 - 5

8x = 15

Make x the subject of the formula

x = 15/8

Therefore, x = 15/8 in the given algebraic equation.

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The sampling method used in this case is Self-Selected Sampling (C) and it has bias because those who respond to the survey may overrepresent the number of readers in the community.

The sampling method used in this case is Self-Selected Sampling (C). The magazine invites readers to complete and mail in a survey, therefore the readers themselves choose whether or not to participate. There is no random selection involved in this sampling method.

The sampling method used in this case does have bias. (D) Yes, because the people who respond to the survey may overrepresent the number of readers in the community.

This is because only those who choose to respond will be included in the sample, and those who are more interested in the magazine or have strong opinions about reading may be more likely to respond.

Final answer:

The sampling method used in this situation is Convenience Sampling, and it does have bias because it may underrepresent the number of readers in the community.

Explanation:

The sampling method used in this situation is Convenience Sampling. This is because the magazine invites readers to complete and mail in a survey based on their convenience, rather than using a random or systematic method to select the sample.

The sampling method used in this situation does have bias. The correct answer is B. Yes, because the people who respond to the survey may underrepresent the number of readers in the community. This is because the sample is based on self-selection, meaning that only those who choose to respond to the survey are included. This can result in a biased sample that may not accurately represent the entire community's reading habits.

Answer:

the midpoint between (8,5) and (2,-2) is P(5,1.5)

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{2-8}{2}~~,~~\cfrac{-2+5}{2} \right)\implies \left( \cfrac{-6}{2}~,~\cfrac{3}{2} \right)\implies \left(-3~~,~~1\frac{1}{2} \right)[/tex]

Answer:

30 in, 0.5 m, 1.25 ft, 17 cm

30in, 0.5m, 1.25, 17cm

Answer:

the answer is a

Step-by-step explanation:

Line AC and Line BD are perpendicular to each other.

In this scenario, we have Line AB parallel to Line CD, and both Line AC and Line BD are perpendicular to Line AB and Line CD. Since two perpendicular lines intersect at a 90-degree angle, we can say that Line AC and Line BD are also perpendicular to each other. This means that Line AC forms a 90-degree angle with Line BD.

A. Any horizontal transformations or reflections you make to y = x^4 must be contained within the parentheses.