Quadrilateral ABCD is translated 7 units down and 2 units to the right.

The length of side AB of the original quadrilateral is
units. After the translation, the length of side AB will
.

Answer:

54

Step-by-step explanation  

(area of mat subtracted from area of room)-center of mat to wall

Gracie’s overtime rate of pay would be $635.06.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Gracie earns 17.25/h for a 37.5h week, plus extra for overtime.

For one hour she earns $17.25

For 37.5h she earns = 37.5h x 17.25

                                   = $646.87

The total money she earns = $646.87 + overtime pay

During store inventory, she worked 48.5h. Her gross earnings were $1,471.88.

= 48.5h x 17.25

= $836.625

So, $836.625 + overtime pay = $1,471.88

overtime pay = $1,471.88 - $836.625 = $635.06

Hence, Gracie’s overtime rate of pay would be $635.06.

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In order to make point D as the vertex in the construction as triangle ABC, the third arc should cross the second arc.

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

In order to make point D as the vertex in the construction as triangle ABC, you must ensure that the third arc crosses the second arc as illustrated in image attached below.

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Answer: The third arc should cross the second arc.

Step-by-step explanation: The guy above me clearly stated it, just wanted to clear up that he is correct :)

The amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

Mark up refers to the value that a player adds to the cost price of a product. The value added is called the mark-up. The mark-up added to the cost price usually equals retail price.

As given

An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup.

55% is written in the decimal form .

                                              = 55/100

                                              = 0.55

Markup price = 0.55 × wholesale price of item .

                      = 0.55 × $48

                     = $48 (0.55)

Price of item after markup = Wholesale price of item + Markup price

                                           = $48 + $48 (0.55)

Thus, the amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

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Answer:The answer is A

Step-by-step explanation:

Edg 2022 (sometimes the verified ones are wrong)

Answer:

25

Step-by-step explanation:

Because 100 25+25+25+25 or 25/1/4

The number of  ways that he can make the fruit salad if it must contain watermelon is 35.

Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.

The salad contains water melon, now we have to select 4 more fruits out of 7.

Using combination

[tex]^{n{C}_r[/tex] = n! / r! (n-r)!

[tex]^{7}C_4[/tex] = 7!/ 4! (7-4)!

      = 7*6*5*4! / 4! * 3*2

      = 35

Hence,  number of ways that he can make the fruit salad if it must contain watermelon is 35.

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Answer: 35 on edge got it right

Step-by-step explanation:

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

Volume is a three-dimensional scalar quantity. The volume of the composite figure is 14 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite figure is,

Volume = (1/3 ×1.5 × 2 × 2) + (2 × 1.5 × 4)

             = 2 ft³ + 12 ft³

             = 14 ft³

Hence, the volume of the composite figure is 14 ft³.

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Answer:

Step-by-step explanation:

When matching graph to inequality, the first things to look for are the nature of the boundary line (solid or dashed), and the direction of shading relative to the boundary line (above or below, left or right).

The boundary line of the solution set of an inequality will be solid if the line is included in the solution. That is, the inequality will include the "or equal to" case. The corresponding inequality symbols are ≤ or ≥.

The boundary line of the solution set will be dashed if the line is not included in the solution. The corresponding inequality symbols are < or >.

The shading will be above the boundary line if the solution set includes larger y-values than those on the boundary. This will be the case when the inequality is of the form y > ( ) or y ≥ ( ).

For inequalities of the form y < ( ) or y ≤ ( ), the shading will be below the boundary line.

Similarly, the shading for an inequality of the form x > ( ) will be right of the boundary line, where x-values are greater. For inequalities of the form x < ( ), the shading will be to the left of the boundary line.

In the given graph, both boundary lines are solid, so both inequalities will include the "or equal to" case. This eliminates choices A, B, D.

The shading is above the quadratic boundary line, and below the linear boundary line, so the inequalities can be expected to be of the forms ...

These forms match choice C:

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

The limits are given as follows:

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0[/tex]

[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty[/tex]

Hence, the correct statement is:

Horizontal asymptote at y = 0.

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The general term for the arithmetic sequence is aₙ = 3 + 3n

The general term of an arithmetic sequence is as follows:

aₙ = a + (n - 1)d

where

Therefore,

a = 6

d = 9 - 6 = 3

aₙ = 6 + (n - 1)3

aₙ = 6 + 3n - 3

aₙ = 3 + 3n

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Answer: No solution

Step-by-step explanation:

Ths lines are parallel (as they have the same slope but different y-intercepts), and parallel lines never intersect. Thus, the system has no solutions because the lines never intersect.

The complete question is

"In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet. Triangle N Q L has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, Q M, and L P. The length of line segment N S is x + 10 and the length of line segment S R is x + 3.

What is RS?

4 feet, 7 feet, 10 feet, 14 feet"

Answer:

The Length of RS would be 7 ft. so the correct option is B.

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

Given:

NS = (x + 10) ft

SR = (x + 3) ft

Based on the centroid theorem, the centroid, S will divide the median, line segment NR, into NS and SR,

NS : SR = 2 : 1.

Therefore:

NS = 2(SR)

x + 10 = 2(x + 3)

Solve for x

x + 10 = 2x + 6

x - 2x = -10 + 6

-x = -4

x = 4

SR = (x + 3) ft (SR is same as RS)

substitute the value of x

SR = (4 + 3) ft

SR = RS = 7 ft

Hence, The Length of RS would be 7 ft. so the correct option is B.

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Answer: B, 7 feet

Step-by-step explanation:

12:25 is also the same as 12/25 (in the fractional form!)

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Answer: 1/3 (if you have other questions like these you can use a slope calculator)

Answer:

12 and 18

Step-by-step explanation:

Lets say the two numbers are A and B, with A the smaller.

We are told that A/B = 2/3     [in the ratio of 2 to 3]

We also find that A + B = 30  [Their sum is 30]

Rearrange the first equation to isolate A:

A/B = 2/3

A = 2B/3        [multiply both sides by B]

Now use this value of A in the second equation:

A + B = 30

2B/3 + B = 30

(2/3)B + (3/3)B = 30

(5/3)B = 30

B = (30)(3/5)

B = 6*3

B = 18

Since A + B = 30:

A + B = 30

A + 18 = 30

A = 12

A is 12 and B is 18

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

Check:

Does A/B = 2/3??

(12/18) = (6/9)

(6/9) = (2/3)   YES

Does A + B = 30  ???

12 + 18 = 30   YES

The statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 6 + 4i

Multiplied by 3:

= 18 + 12i

If we plot on the coordinate plane there will be no rotation the scalar has changed by multiplying with a real number.

Thus, the statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

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Answer: [tex]133^{\circ}[/tex]

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

[tex]4x+5+x+15=180\\\\5x+20=180\\\\5x=160\\\\x=32[/tex]

This means that [tex]m\angle A=4(32)+5=\boxed{133^{\circ}}[/tex]

Answer:{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

Step-by-step explanation:

Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.

Random sampling is the method of selecting the subset from the set to make a statical inference.

Utilizing two six-sided number solid shapes, each named with the numbers 1 through 6.

The number of the total events will be given as,

Total events = 6²

Total events = 6 x 6

Total events = 36

The total sample is given below.

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Event A is defined by rolling a sum greater than 8 will be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}.

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Answer: 450 Minutes

Step-by step explanation:

135-x)/5 = hours connie runs

x/7 = hours Bonnie runs

(135-x)/5 + x/7 = 24

135-x + 5x/7 = 120

945-7x+5x = 840

-2x = -105

x = 52.5 miles = distance of Bonnie

52.5 miles / 7 m/hr = 7.5 hours = 450 minutes

All three are possible.

The table tells us that for certain x and y, we have f(x) < f(y) if x < y. There's also no evidence that f(x) = f(y) for some points x ≠ y in the interval, so f(x) could easily be monontonically increasing. (I is true)

If we assume f(x) is strictly increasing (which does not contradict the given table) on the entire interval, we have f'(x) > 0. A positive function can be strictly increasing. (II is true)

A function is concave up on an interval if its derivative is increasing on that interval. This follows from statement (II) if it happens to be true. (III is true)

(E)

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters are given as follows:

[tex]\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24[/tex]

Item a:

The probability is one subtracted by the p-value of Z when X = 984, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{984 - 959}{263}[/tex]

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

1 - 0.5398 = 0.4602.

Item b:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{984 - 959}{43.24}[/tex]

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

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Answer:

5 blue marbles

10 Red marbles

3 Green marbles

Step-by-step explanation:

5 times 2 = 10

then 5-2 =3

Add 5+10+3

=18 Marbles in total

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

Generally, the equation for the function is mathematically given as

f(x) = -5x + 11 + 10

Therefore

When x >= -1, the function decreases because f(x) = -5(x+1)+10.

This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]

b)

A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).

In conclusion, The number line will represent

Using the point where the intervals with decreasing functions overlap

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

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Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).

-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.

Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

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The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

b)

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

So to find the value of p:

100 + 62 + 106 + p = 360

p = 360 - (100 + 62 + 106)

p = 92 degrees

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Answer: They're equal to each other yes corresponding parts of congruent triangles are equal

Step-by-step explanation:

Answer:

(8×6)+8-3

48+8-3

53

Step-by-step explanation:

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Answer:

Step-by-step explanation: