what is the value of x?

Answer:

Principal amount (P) = $6000

Rate (R) = 12%

Time = 2 years

Simple interest, I = P X R X T / 100

= 6000 X 12 X 2 / 100

= 144000 / 100

= 1440

=> Simple interest, I = $1440

Amount they would owe at the end of 2 years,

= P + I

= 6000 + 1440

= $7440

Answer:

B: -2

C: 0

D: -1

Step-by-step explanation:

We are looking at only the range in this problem. That means we are looking for y-values that are associated with this graph. Since the graph only includes negative values, you can rule out A, E, and F because they are positive. The answer choices you have left are the correct choices.

Answer:

-1
-2
-5
0

Step-by-step explanation:

This is a answer of this question.

Answer:

36 cm³

Step-by-step explanation:

Volume of rectangular prism =( L * B * H) or (area * height)

                                                = 12 cm² * 3 cm

                                                = 36 cm³

Answer:

What is the area of the base of the rectangular prism?

18 square centimeters

What is the height of the rectangular prism?

6 centimeters

What is the volume of the rectangular prism?

108 cubic centimeters

Step-by-step explanation:

Answer:

y = -2x - 13

Step-by-step explanation:

Answer:

y = - 2x - 13

Step-by-step explanation:

First, distribute out the two on the right side of the equation.

y + 7 = - 2x - 6

Next, subtract 7 from both sides to isolate the y variable on the left side.

y = - 2x - 13

That is your answer in slop-intercept form.

Answer:

The area of the circle is 12.6 m2

DIVIDE the area of the circle by 2 to find area of the semicircle.

To find the area of the composite figure, ADD the area of the rectangle and the area of the semicircle.

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

12.6

Divide

Add

Step-by-step explanation:

Answer:

1

3

Step-by-step explanation:

The equation of a graph is normally written in form Mx+c.

So, here there is x+3.

Thus, m = 1

C = 3

Hope this helps

Answer:

3 people 4 hours and and one person 12 hours

Step-by-step explanation:

your welcome

Answer:

no

Step-by-step explanation:

because even going back to back it would take you about one or two days

Answer:5x+10

Step-by-step explanation:

2x+3x+9+1=5x+10

Answer:

(-2, 2)

Step-by-step explanation:

When an image is dilated by a factor of 2, we can simply multiply the x and y coordinates by 2.

Therefore, the coordinates will become (-2, 2).

Answer:

Time t = 3.02 hours

Step-by-step explanation:

Given;

Distance d = 350 km

Speed v = 72 mi/h

Since 1 mile ≈ 1.61 km

Converting the speed to km/h

Speed v = 72 mi/h × 1.61km /mi

Speed v = 115.92 km/h

Speed = distance/time

Time t = distance/speed = d/v

Substituting the values;

Time t = 350 km/115.92 km/h

Time t = 3.019 hours

Time t = 3.02 hours (to the nearest hundredth.)

Answer:

1) 1/10

2)2/10

3)8/10

Step-by-step explanation:

the numbers 1 and 10 both have 1 in them

Answer:

Hi there!

The correct choices are: A, B, C

Step-by-step explanation:

π in radians equals to 180°

A is correct because 180/3 = 60

C is correct because 180/4 = 45

The measure angles π and π/4 is true

Radian, When we rotate the radius completely around the circle, it completes one rotation. The angle subtended at the center of the circle by the radius after one complete rotation is 2π radians. The angle in radians subtended by the radius at the center of the circle is the ratio of the length of the arc to the length of the radius. When the length of the arc becomes equal to the length of the radius, the angle subtended at the center becomes 1 radian. We denote the unit radian as rad. Radians is the SI unit of measuring angles.

Degree  Angles are measured in degrees. One revolution is divided into 360 equal parts and each part is called a degree. The angle subtended at the center of the circle after one complete rotation of the radius is 360°. The symbol for degrees is denoted by '°'. Degrees is not an SI unit to measure angles but it is an accepted unit to measure. Hence, while solving problems, it is preferred to convert the unit of angle from radians to degrees to understand it better. The instrument used to measure an angle in degrees is a protractor. Comparing the measures of the angle for a complete rotation, we observe,360 Degrees = 2π Radians180 Degrees = π Radians

According to the question

To convert radians to degrees, multiply by 180/p,

like this: degrees = radians x (180 / π )

To convert degrees to radians,

multiply by p/180, like this

radians = degrees x ( π/180)

(A)

This will use the formula for radians to degrees. π/3 x (180/π) The pi's cancel, leaving you with: 180/3 = 60 degrees False

(B)

An angle that measures π/6 radians also measures 30°π/6 x (180/π) = 30 degrees. True

(C)

An angle that measures π/3 radians also measures 60°π/3 x (180/π) = 60 degrees. True

(D) An angle that measures 180 degrees also measures π/2π/2 x (180/π) = 90 degrees. False

hence, measure angles π and π/4 is true, therefore option B and C are true

To learn more about radian and degree from here https://brainly.in/question/3390676

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Answer :

(1) [tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})=3.375[/tex]

(2) [tex]x=\frac{45}{56}[/tex]

Step-by-step explanation :

Part 1:

The given expression is:

[tex][(\frac{1}{3})^{-3}\times (\frac{1}{2})^{-3}]\div (\frac{1}{4})^{-3})[/tex]

[tex]=[(\frac{1}{(\frac{1}{3})^3})\times (\frac{1}{(\frac{1}{2})^3})]\div (\frac{1}{(\frac{1}{4})^3})[/tex]

[tex]=[27\times 8]\div (64)[/tex]

[tex]=[216]\div (64)[/tex]

[tex]=\frac{27}{8}[/tex]

[tex]=3.375[/tex]

Part 2:

The given expression is:

[tex](7-3)2\times (7x+4)=77[/tex]

[tex](4)2\times (7x+4)=77[/tex]

[tex]8\times (7x+4)=77[/tex]

[tex]56x+32=77[/tex]

[tex]56x=77-32[/tex]

[tex]56x=45[/tex]

[tex]x=\frac{45}{56}[/tex]

Thus, the value of x is [tex]\frac{45}{56}[/tex]

Answer:

80,000,000,000,000 or 80 billion

Step-by-step explanation:

10 to the power of 6 is 1000000

1000000x 4 is 4000000

4000000 X 2 x 10 to the power of 7

4000000x (2 x10000000)

4000000 x 20000000

Is 8e+13

the number is 80,000,000,000,000

[tex]\sqrt{729} =27\\ \sqrt{1296} =36[/tex]

Answer:

A

Step-by-step explanation:

Square root of 9 = 3

Square root of 16 = 4

3*4 = 16

option A -

Square root of 9 = 3

Square root of 16 = 4

3*4 = 16

The expression  [tex]\sqrt{9*16}[/tex] can be written as [tex]\sqrt{9} * \sqrt{16}[/tex]

The square root of a number is the factor that we can multiply by itself to get that number.

According to question

[tex]\sqrt{9*16}[/tex]     ( as dot represent the multiplication sign)

= [tex]\sqrt{9} * \sqrt{16}[/tex]

Hence,  [tex]\sqrt{9*16}[/tex] can be written as [tex]\sqrt{9} * \sqrt{16}[/tex]

To know more about square root here :

https://brainly.com/question/9664917

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Answer:

B, π:(4-π).

Step By Step:

With a side of length 12, we have an area of 144. The circle's radius is 3, so their area is 9π, per circle. All four circles have a total combined area of 36π  - green. The area that is left of the square after the circles are painted green  is  144-36π - White

So, the ratio of Green:White is (36π) : (144-36π), which simplifies to π:(4-π), B

[tex]answer = Rs 1449\\ solution \\ marked \: price = rs \: 1400 \\ discount \: percent = 10 \: percent \\ discount \: amount = \: discount \: percent \: of \: mp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 10 \: percent \: of \: 1400 \\ \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 140 \\ \\ sp = mp - \: discount \\ \: \: \: \: \: \: \: = 1400 - 140 \\ \: \: \: \: \: = 1260 \\ vat \: amount = \: vat \: percent \: of \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: 15 \: percent \: of \: 1260 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 189 \\ sp \: with \: vat = \: sp + \: vat \: amount \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1260 + 189 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = Rs1449 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

10.62

Step-by-step explanation:

20- 9.38 = 10.62

Answer:

$5.46

Step-by-step explanation:

Total = 3*1.29 + 1.59

= 5.46

Answer:

2.88

Step-by-step explanation:

that is total amount

Answer: A_a^3

B_c^1

Step-by-step explanation:they work like integers therefore vlby sharing the same base and Having the division sign u just subtract the powers

Answer:

[see below]

Slope point (also called "Point-slope") form is: [tex]y-y_1=m(x-x_1)[/tex]

[tex](x_1,y_1)\text{ -Coordinate} \\m\text{ -Slope}[/tex]

We need to find the slope of the line given.

Slope is: [tex]m=\frac{y2_-y1}{x_2-x_1}[/tex]

We are given the points (2,-1) and (-2,-2).

[tex]m=\frac{-2-(-1)}{-2-2}=\frac{-1}{-4}=\boxed{\frac{1}{4}}[/tex]

The slope of the line is 1/4.

Replace 'm' with 1/4 and '(x1, y1)' with (2, -1).

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y+1=\frac{1}{4}(x-2)}[/tex]

[tex]\text{The equation of the graphed line in slope-point form using (2,-1) is:}\\y+1=\frac{1}{4}(x-2)[/tex]

Slope intercept form is: [tex]y=mx+b[/tex]

We can convert our point slope equation into slope intercept form.

[tex]y+1=1/4(x-2)\\\\y+1=1/4x-0.5 \leftarrow \text{Distribute}\\y+1-1=1/4x-0.5-1 \leftarrow \text{Subtraction Property of Equality}\\\boxed{y=\frac{1}{4}x-1.5}[/tex]

The equation of the line in slope intercept form is: [tex]y=\frac{1}{4}x-1.5[/tex] OR [tex]y=\frac{1}{4}x-\frac{3}{2}[/tex].

Answer:

8, 9, and 10

Step-by-step explanation:

see attachment

Answer: D’ (3, -6), E’ (4, -2), F’ (5, -5)

Step-by-step explanation:

If it’s reflected across the x-axis, the y coordinates become negative. Then move each coordinate 2 units to the right.

(x, y) — (x + 2, -y)

D (1, 6) — D’ (3, -6)

E (2, 2) — E’ (4, -2)

F (3, 5) — F’ (5, -5)

Answer:

No, the answer is not correct

Step-by-step explanation:

In the second step, the student didn’t use the quotient of powers property correctly. They should have subtracted inside the parentheses instead of dividing. This would have left them with x^(4/5). They should have then multiplied this power by ^(1/2) resulting in x^(4/10) which simplified is x^(2/5) which is the correct answer.

The resulting answer that the student got was wrong this was due to the wrong miscalculation when applying the division rule according to the law of indices. The difference between 6/5 and 2/5 is not 3 but 4/5

The expression simplified by the student is an indicinal expression

Indices are mathematical expressions that show the number of times a number or variable is being multiplied by itself.

According to the law of indices

where a, and n are integers or fractions

Given the expression simplified by the student expressed as:

[tex](\dfrac{x^\frac{2}{5} \times x^\frac{4}{5} }{x^{\frac{2}{5} }})^\frac{1}{2}[/tex]

Using the laws above:

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

Based on the law of division,

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

Hence the resulting answer that the student got was wrong this was due to the wrong miscalculation when applying the division rule according to the law of indices. The difference between 6/5 and 2/5 is not 3 but 4/5.

Learn more about indices here: https://brainly.com/question/24160371

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

Let a be apples and b be bananas.

10a+5b=4.2

8a+10b=5.4

Solve for a:

10a+5b=4.2

Subtract 5b from both sides

10a=4.2-5b

Subtract 4.2 from both sides

10a-4.2= -5b

Multiply both sides by -1

-10a+4.2=5b

8a+10b=5.4

Subtract 10b from both sides

8a=5.4-10b

Subtract 5.4 from both sides

8a-5.4= -10b

Multiply both sides by -1

-8a+5.4= 10b

Divide both sides by 2

-4a+2.7=5b

Combine equations:

-4a+2.7= -10a+4.2

Add 10a to both sides

6a+2.7=4.2

Subtract 2.7 from both sides

6a=1.5

Divide both sides by 6

a=0.25

An apple costs £0.25

Solve for b:

10a+5b=4.2

Subtract 10a from both sides

5b= -10a+4.2

Subtract 4.2 from both sides

5b-4.2= -10a

Multiply both sides by -1

-5b+4.2=10a

8a+10b=5.4

Subtract 8a from both sides

10b= -8a+5.4

Subtract 5.4 from both sides

10b-5.4= -8a

Divide both sides by 4

2.5b-1.35= -2a

Multiply both sides by 5

12.5b-6.75= -10a

Multiply both sides by -1

-12.5b+6.75=10a

Combine equations:

-12.5b+6.75= -5b+4.2

Add 12.5b to both sides

6.75=7.5b+4.2

Subtract 4.2 from both sides

2.55=7.5b

7.5b=2.55

Divide both sides by 7.5

b=0.34

A banana costs £0.34

If you would like to check and see if it is true, (I already checked, it is) you can use the formulas I gave at the start of the explanation.

10a+5b=4.2

8a+10b=5.4

a=0.25

b=0.34