What is 8% of 39 as a percentage

Answer:

yes they show a relationship which is a linear relationship

Step-by-step explanation:

for x values it's n=x+1 while n represents and for y values it's n=y+1

Answer:

The answer is 3

Step-by-step explanation:

2+3=5

3+3=6

4+3=7

5+3=8

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

4(m+3)=18

m+3=18/4=9/2

m=9/2-3

m=9-6/3

m=3/3=1

so,

m=1

Step-by-step explanation:

Answer: In 4 HOURS they will be 468 miles apart.

Step-by-step explanation:

1st car DATA:

rate = 59 mph ; time = x hrs. ; distance = 59x miles

2nd car DATA:

rate = 58 mph ; time = x hrs. ; distance = 58x miles

EQUATION:

distance + distance = 385

59x + 58x = 468

117x = 468

x = 4 hours.

The simple interest on a loan of $24,000 for 8 months at 6.5% is $12480

What is Simple interest ?

simple interest can be defined as the ratio of product of principal amount , rate , time and hundred .

Given,

To find the simple interest on a loan of $24,000 for 8 months at 6.5%.

So here,

P = 24000

T = 8

R = 6.5

So, we know that

simple interest  =  P*T*R / 100

= 24000*8*6.5 / 100

= 24 * 8 * 65 / 1

= 12480

Therefore, The simple interest on a loan of $24,000 for 8 months at 6.5% is $12480 .

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Answer:

x + 8 = 8 + x

Step-by-step explanation:

the commutative property for addition is A + B = B + A

so you basically just swtich the numbers around

x + 8 = 8 + x

Answer && Step-by-step explanation:

We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)

choosing A.

plug in values of -x to see if you can get ~= to graph so -5 to -1

x: -5, -4, -3, -2, -1

y: -2, -.25, 0, .25, 2

checks out., A is your answer

The equation for f(x) is F(x) = 1/4(x+3)²

Given is a graph, showing the function g(x) = x³, we need to find the equation for the function f(x) in the graph,

We know f(x) transformed towards x-axis.

We see that, there is a left shift of 3 units, so the function will be (x+3)³

Also, the graph is spread out 4 units, so the function can be 1/4(x+3)³

Hence, the equation for f(x) is F(x) = 1/4(x+3)²

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Answer:

3. 4m + 2 = 7m

Step-by-step explanation:

3. 4m + 2 = 7m

m = 7

4(7) + 2 = 7(7)

28 + 2 = 49

false

Answer:

A.

Step-by-step explanation:

Because 5*10^9= 5 Billion, and that's the closest answer.

Answer:

Try the light blue one, I really just guessing but good luck!!

Answer:

8(3x+2)=24x+16.

Step-by-step explanation:

there

Answer:

24x+16

Step-by-step explanation:

Answer:

The answer is 42 times.

Step-by-step explanation:

The probability of taking out the red bead from the bag every time is

P = 7 ÷ (7 + 8) = 7/15

So, The number of times she expects to take a red bead is 'n'

Therefore,

n = 90 × 7/15

n = 6 × 7 = 42

Thus, The number of times she expects to take a red bead is 42.

Answer:

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

Answer:

Step-by-step explanation:

10

Ws

Answer:

ZB = 54

Step-by-step explanation:

Complementary angles add to 90 degrees

ZA + ZB = 90

x-15 + x+3 = 90

Combine like terms

2x-12 =90

Add 12 to each side

2x-12+12 = 90+12

2x = 102

Divide by 2

2x/2 = 102/2

x = 51

We want to find the measure of ZB

ZB = x+3

ZB = 51+3

ZB = 54

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

C. 2,589.25

Step-by-step explanation:

Salary=$3500

Less:

Federal income withheld

15% of $3500

=15/100×$3500

=$525

Social security tax of 6.2%

6.2% of $3500

=6.2/100 × $3500

=$217

Medicare tax of 1.45%

1.45% of $3500

1.45/100 × $3500

=$50.75

Health insurance premium=$48

Savings plan of 2%

2% of $3500

=2/100 × $3500

=$70

Total less:= $525 + $217 + $50.75 + $48 + $70

Eric's net pay =$3500 - $910.75

=$2,589.25

Answer:

c

Step-by-step explanation:

Answer:

7250%

Step-by-step explanation:

To express 72 1/2 as a percentage, you need to convert it to a decimal first and then multiply by 100.

72 1/2 is equivalent to 72.5 as a decimal.

To convert it to a percentage:

72.5 * 100 = 7250

Therefore, 72 1/2 is equal to 7250% when expressed as a percentage.

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Answer:

32 m^2

Step-by-step explanation:

Quite easy. The altitude of the triangle is 8m. The base of the triangle is 2 + 6. The base is 8 meters and the height of the triangle is 8 meters. The area ofa triangle is base * height divded by 2.

(8 * 8)/2 = 32 sqaure meters

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Answer:

32

Step-by-step explanation:

8*8/2

64/2

32

The first movement is 4 units to the left , which is equal to -4, and the other is a movement of 2 units to the right which is equal to +2. Therefore the answer is -4 + 2, which is the last option.

The monthly payments for the loan to be paid off at the rate given would be = $1,504.4

The total cost of the house = $243, 950.

The time for the payment of the loan = 25 years.

The rate of the payment = 7.4%

The simple interest = principal×time×rate/100

Si = 243, 950.×25×7.4/100

si = 45130750/100

si = 451,307.50

The total number of months is 25 years = 300

The amount paid per month = 451,307.50/300 = $1,504.4

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Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

• \(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

• \(\sqrt{\frac{a}{b} }\) ⇔ \(\frac{\sqrt{a} }{\sqrt{b} }\)

(1)

\(\sqrt{108}\)

= \(\sqrt{36(3)}\)

= \(\sqrt{36}\) × \(\sqrt{3}\)

= 6\(\sqrt{3}\)

(2)

\(\sqrt{14}\) × \(\sqrt{35}\)

= \(\sqrt{14(35)}\)

= \(\sqrt{490}\)

= \(\sqrt{49(10)}\)

= \(\sqrt{49}\) × \(\sqrt{10}\)

= 7\(\sqrt{10}\)

(3)

\(\sqrt{\frac{28}{64} }\)

= \(\frac{28}{\sqrt{64} }\)

= \(\frac{\sqrt{28} }{8}\)

= \(\frac{\sqrt{4(7)} }{8}\)

= \(\frac{\sqrt{4}(\sqrt{7}) }{8}\)

= \(\frac{2\sqrt{7} }{8}\)

= \(\frac{\sqrt{7} }{4}\)

Answer:

How many feet are you going to buy that is the real question.

Step-by-step explanation:

It depends on how many feet you buy.

Answer:

(SA - π r^2)/πr = s

Step-by-step explanation:

SA = πrs + π r^2

Subtract  π r^2 from each side

SA - π r^2 = πrs + π r^2-π r^2

SA - π r^2 = πrs

Divide each side by  πr

(SA - π r^2)/πr = πrs/πr

(SA - π r^2)/πr = s

Answer:

D

Step-by-step explanation:

SA = πrs + πr²

SA - πr² = πrs

s = (SA - πr²)/πr

The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

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Here is your Answer

Step-by-step explanation:

Ravi bought rice = 50kg

Rate it =40kg

Sold it at the rate = = 44kg

The value of the infinite series expression \(\sum^{124}_{i = 1}(29a_i - 13b_i) \\\) is -30.

Given information:

\(\sum^{124}_{i = 1}a_i = -10\)  and \(\sum^{124}_{i = 1} b_i = -20\).

The required series form can be rearranged as,

\(\sum^{124}_{i = 1}(29a_i - 13b_i) &= 29\sum^{124}_{i = 1}a_i - 13\sum^{124}_{i = 1}b_i\)

Substitute the provided values of \(\sum^{124}_{i = 1}a_i = -10\)  and \(\sum^{124}_{i = 1} b_i = -20\).

We get,

\(\sum^{124}_{i = 1}(29a_i - 13b_i) \\\) = 29(-10) - 13(-20)

\(\sum^{124}_{i = 1}(29a_i - 13b_i) \\\) = -290+ 260

\(\sum^{124}_{i = 1}(29a_i - 13b_i) \\\) = -30.

As a result, the required value is -30.

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