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Answer:

x = 3

Step-by-step explanation:

2(4 + 3x) + 6 = 32 ( subtract 6 from both sides )

2(4 + 3x) = 26 ( divide both sides by 2 )

4 + 3x = 13 ( subtract 4 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

As a check

substitute x = 3 into the left side of the equation and if value obtained is equal to the right side (32) then it is a solution to the equation.

2(4 + 3(3)) + 6

= 2(4 + 9) + 6

= 2(13) + 6

= 26 + 6

= 32

left side = right side

then x = 3 is the solution to the equation

Answer:

[tex] \sf \: x = 3[/tex]

Step-by-step explanation:

[tex] \sf \rightarrow \: 2(4 + 3x) + 6 = 32[/tex]

Apply the distributive property

[tex] \sf \rightarrow8 + 6x + 6 = 32[/tex]

Combine like terms

[tex] \sf \rightarrow 14 + 6x = 32[/tex]

Rearrange variables to the left side of the equation

[tex] \sf \rightarrow 6x = 32 - 14[/tex]

Calculate

[tex] \sf \rightarrow 6x = 18[/tex]

Divide both sides by the coefficient of 6

[tex] \sf \rightarrow \frac{6x}{6} = \frac{18}{6} [/tex]

Calculate

[tex] \sf \rightarrow x = \frac{18}{6} [/tex]

[tex] \sf \rightarrow \: x = 3[/tex]

Evaluate the related serious of eatch sequence

Answers

1. The sequence will be 13 + 2( n - 1).

2. The sequence will be 22 + 6(n - 1).

How to illustrate the information?

1. It should be noted that the common difference is 15 - 13 = 2

First term = 13

Therefore, the sequence will be:

= a + (n - 1)d.

a = first term

d = difference

n = numbers

= 13 + 2( n - 1).

2. Common difference = 28 - 22 = 6

First term = 22

The sequence will be:

a + (n - 1)d

= 22 + 6(n - 1)

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expression to the correct point.
-5
d
f
-4
Point
de
-3
-√8
I
32
-TT
+
match each
-2
f
-1
Expression

Answers

Answer:

2x6x6+7+j

34+67897790+b,xyy


Suppose y varies directly with x . If x is 30 when y is 10 , what is x when y is 9 ?
a. 3
b. 27
c. 29
d. 300/9

Answers

Answer: Maybe D I'm not sure

Step-by-step explanation:


Use the given statement to find the measure of numbered angle.
∠6 and ∠ 8 are; complementary m ∠8=47 .

Answers

∠6 = 43°

If two angles sum to 90 degrees, they are said to be complementary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). Angles 1 and 2 are complementary if their total of angles equals 90 degrees (i.e., ∠1 + ∠2 = 90°), and as a result, they are referred to as each other's complements.

Now as per the question the given angle is

∠8 = 47°

It is also given that ∠6 and ∠8 form are complementary angles. Therefore it means that the sum of both the angles will be 90°

∠6 + 47° = 90°

Now subtracting 47 from both sides we will get :

∠6 = 90 - 47 = 43°

Therefore, ∠6 = 43°

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a school organises a concert for charity the graph and table shows information about the 100 tickets sold
how much money was raised with the 100 tickets sold?

Answers

The number of money that should be raised should be $1481

which is the value of (1.8 x 10^8) (8.3 x 10^-3)

Answers

Answer:

О C  1.494*10⁻⁶

Step-by-step explanation:

1.8*10⁸ = 180000000

8.3*10⁻³ = 0.0083

180000000 * 0.0083 = 1494000

= 1.494*10⁶

In the diagram below, m/CIH = 105° and m/BGD = 41°. Find m/AHF.
B.
D
41°
G
E
105
H
F
C

Answers

∠AHF is the exterior angle to the triangle GHI, so m∠AHF = 116°.

What is exterior angle?

When one side of a triangle is stretched, an external angle is generated. An external angle of a triangle is a non-straight angle (one that is not merely an extension of a side) that is outside the triangle but next to an interior angle.

From figure, m∠CIH = 105° (given)

so, m∠GIH = (180° - m∠CIH) = (180° - 105°) = 75° (complementary angles)

And m∠BGD = 41°

So, m∠IGH = M∠BGD = 41° (vertically opposite angles)

Now, m∠AHF = m∠GIH + m∠IGH (exterior angle)

                       = 75° + 41°

                       = 116°

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Yama stated that △KLM≅△PLN by the HL Theorem. what mistake did yama make?

Answers

The triangles are congruent by the SAS theorem not the HL Theorem

How to determine the mistake in Yama's solution?

The statement is given as

Yama stated that △KLM≅△PLN by the HL Theorem

From the figure, we can conclude that the triangles are truly congruent

This is evident by the marks on the corresponding angle and the corresponding sides of the triangles

From the figure, we have

1 corresponding angle

2 corresponding sides

This means that the triangles are congruent by the SAS theorem not the HL Theorem

Hence, the triangles are congruent by the SAS theorem not the HL Theorem

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ANSWER FAST PLEASE simplify the expression negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths −13.16 −9.89 0.49 20.11

Answers

The value of the given expression is -6.93

How to simplify the expression?

The expression in the question is given as:

negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths

Rewrite the expression properly

So, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Evaluate the quotient and the exponent

So, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Evaluate the product

-15 - 3.7 + 16.47 - 4.7

Evaluate the sum and the difference

-6.93

Hence, the value of the given expression is -6.93 (none of the options is correct)

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Answer:

Step-by-step explanation: option b

Please help
Me asap!

Answers

Answer:

36 degrees

Step-by-step explanation:

this a complementary angle. This means that both sides add up to 90 degrees. 90-54=36

Answer:

36°

Step-by-step explanation:

These angles are complimentary, meaning they add to 90°. You know this by the little square marking.

a + 54° = 90°

a = 36°

Which digits are in the millions period of the number 21,468,127,471?

Answers

The digits in millions period of the number is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

Given the number is 21,468,127,471.

The digits in which are given in the large numbers are in groups of three places. The groups are called periods. Commas are usually used to separate the periods.

The groups of numbers are 3 digit group and which is starting from the right to left.

As we all know that we read the group of periods as ones, tens, hundreds, thousand, ten thousand, hundred thousand, million, ten million, hundred million, billion etc.

From  the above, we find that the given number 21,468,127,471 contains digit 1 is in the ones place, 7 is in the tens place, 4 is in the hundredth place, 7 is in the thousand place, 2 is in the ten thousand place, 1 is in the hundred thousand place, 8 is in the million place, 6 is in the ten million place, 4 is in the hundred million place , 1 is the billion place and 2 is in the ten bilion.

Hence, the digits in millions period of the given number 21,468,127,471 is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

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In the pressure equation, P represents the pressure on the object in pascals (Pa), F represents the force applied on the object in newtons (N), and A represents the area, in square meters, of the object over which the pressure is applied.

Answers

The pressure inside the container is 81.625 pascals

Calculating pressure

From the question, we are to determine the pressure applied inside the container

From the Pressure equation, we have that

P = F/A

Where P is the pressure

F is the force

and A is the area

From the given information,

F = 1306 N

A = 16 m²

P = 1306/16

P = 81.625 pascals

Hence, the pressure inside the container is 81.625 pascals

Here is the complete question:

In the pressure equation, P represents the pressure on the object in pascals (Pa), F represents the force applied on the object in newtons (N), and A represents the area, in square meters, of the object over which the pressure is applied. What is the pressure applied inside a container having an inner area of 16 square meters over which a force of 1,306 newtons is applied?

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Solve for X on the triangle.​

Answers

x = 120°

Explanation:

The sum of angles in a triangle is = 180°

We have two angles so

30 + 30 + x = 180

60 + x = 180

x = 180 - 60

x = 120

I hope this helps!!

A rectangular room is
1.4
1.4
times as long as it is wide, and its perimeter is
27
27
meters. Find the dimension of the room.

The length is : meters and the width is meters. Enter the dimensions as decimals rounded to at least one decimal place.

Answers

The length of the rectangle is 7.875 meters and the width of the rectangle is 5.625 meters.

Perimeter of a rectangle

Length of the rectangle = 1.4xWidth of the rectangle = xPerimeter of the rectangle = 27 meters

Perimeter of a rectangle = 2(length + width)

27 = 2(1.4x + x)

27 = 2(2.4x)

27 = 4.8x

divide both sides by 4.8

x = 27/4.8

x = 5.625

Therefore,

Length of the rectangle = 1.4x

= 1.4(5.625)

= 7.875 meters

Width of the rectangle = x

= 5.625 meters

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if a cube has a volume 27 cubic centimeters what is the length of each edge?use the volume formula ,V=[tex]s^{3}[/tex]

Answers

Square root of 27= 3cm
Each edge = 3cm

Answer:

s = 3 cm

Step-by-step explanation:

the volume (V) of a cube is calculated as

V = s³ ( s is the side length )

here V = 27 cm³ , then

s³ = 27 ( take cube root of both sides )

[tex]\sqrt[3]{s^3}[/tex] = [tex]\sqrt[3]{27}[/tex]

s = 3

the length of each edge of the cube is 3 cm

Suppose y varies directly with x , and y=2 when x=-2 . Find the constant of variation. Then find the value of x when y=3 .

Answers

The value of x when y=3 is x=-3.

y ∝ x

y=kx

where k is the constant of proportionality.

put x=-2, y=2

2=k*-2

k=-1

now it's given that y=3 putting in the equation

y=kx

3=-1*x

x=-3

The value of x when y=3 is x=-3.

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If the faster stone takes 10.0 s to return to the ground, how long will it take the slower stone to return? t = nothing s

Answers

The slower stone will take 3.33 seconds if the faster stone takes 10s to return to the ground.

What is linear acceleration?

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

From the motion equation:

s = ut + at²/2

From the data given:

s = 0

0 = 3u(10) - 9.8(10)²/2

After solving:

u = 16.33 m/s

To calculate for time:

s = ut + at²/2

s = 0

u = 16.33

0 = 16.33t + 9.8t²/2

t = 3.33 seconds

Thus, the slower stone will take 3.33 seconds if the faster stone takes 10s to return to the ground.

The complete question is:

Two stones are thrown vertically upward from the ground, one with three times the initial speed of the other.

(a) If the faster stone takes 10s to return to the ground, how long will it take the slower stone to return?

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Which expression is equivalent to 8x^3 − 64 when factored completely?

a
(2x − 4)(4x^2 + 8x + 16)

b
(2x − 4)(4x^2 − 8x + 16)

c
(2x + 4)(4x^2 + 8x + 16)

d
(2x + 4)(4x^2 + 8x − 16)

Answers

The expression that iis equivalent to 8x³ − 64 when factored completely will be A. (2x − 4)(4x² + 8x + 16)

How to calculate the expression?

It should be noted that (2x − 4)(4x² + 8x + 16) will be:

= (2x − 4)(4x² + 8x + 16)

= 8x³ + 16x² + 32x - 16x² - 32x - 64

= 8x³ - 64

Therefore, the correct option is A.

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6 cm
6 cm
18 cm
9.5 cm
3cm
11cm
9cm
6cm

Answers

Answer:   68.5

Step-by-step explanation:

6 cm + 6 cm + 18 cm+ 9.5cm + 3cm + 11cm+ 9cm+ 6cm= 68.5

~Hope this helps ;0~

Find the missing term of each geometric sequence. It could be the geometric mean or its opposite. 9180,-1-255, . . . . . . .

Answers

The missing term of the GP is: 1530.

What is a geometric progression?

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 9180, ___, 255.

To find: the missing term of the geometric sequence.

Finding:

The geometric mean of a geometric sequence is used to find the term between two term of a geometric sequence.

Thus, Let the missing term by x.

Then, x = [tex]\sqrt{9180\times255} = \sqrt{2340900}=1530.[/tex]

Hence, the missing term of the geometric sequence is 1530,

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The total height of the cubes stacked on top of each other is 2f + 3g^2.


The cubes have a combined volume that is the same as a rectangular prism of the same height. What is the area of the base of the rectangular prism? (Recall: V = Bh)


A: 2f + 3g^2

B: 8f^3 + 27g

C: 2f - 6fg^2 + 3g^2

D: 4f^2 - 6fg + 9g^4

(And pls be fast)

Answers

The area of the base of the rectangular prism will be D. 4f² - 6fg + 9g⁴.

How to illustrate the information?

it should be noted that from the information given, the cubes have a combined volume that is the same as a rectangular prism of the same height.

The total height of the cubes stacked on top of each other is 2f + 3g²

Therefore, the area will be:

= (2f)² - 2(3fg) + (3g²)²

= 4f² - 6fg + 9g⁴

Therefore, the area of the base of the rectangular prism will be 4f² - 6fg + 9g⁴.

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HELP ASP SHOW UR WORK ILL GIVE BRAINILEST

Answers

Answer:

Step-by-step explanation: 2x+12x = 14x

14x=70

70/14 = 5

x = 5

Answer: x=29

Step-by-step explanation:

12=70-2x

12=-2x+70

Subtract 70 from both sides: 12-70=-2+70-70

-58=-2x

Divide both sides by the same factor: -58/-2=-2x/-2

x=29

If f(x) = \frac{9}{4x}f(x)=
4x
9

, what is the value of f(-10)f(−10), to the nearest thousandth (if necessary)?

Answers

Answer:

Step-by-step explanation:

ur dad

3x - 16=54 what is the value of x

Answers

Answer:

I think it is 23.333

Step-by-step explanation:

I added 16 to both sizes and got 3x=70

then divide 70 by 3 and got 23.333

A 30-foot ladder is leaning against a building. The base of the ladder is
18 feet from the side of the building. How high does the ladder reach along the side of the building?

The ladder reaches ___ feet high on the building.

Answers

The ladder reaches 24 feet high on the building.

How high does the ladder reach along the side of the building?

The given parameters are:

Length of ladder (l) = 30 feet

Base of the ladder (b) = 18 feet

The height (h) of the ladder on the wall of the building is calculated as

h^2 =l^2 - b^2

This gives

h^2 = 30^2- 18^2

Evaluate

h^2 = 576

Take the square rots

h = 24

Hence, the ladder reaches 24 feet high on the building.

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Solve each system.
0.02a - 1.5b = 4 , 0.5b - 0.02a = 1.8

Answers

Answer: (-235, -5.8)

Step-by-step explanation:

elimination

Can smn help me with this problem?

A drawer has 20 red socks a d 20 blue socks. How many ways can we make groups of matching and unmatching pairs?

Answers

Using the Fundamental Counting Theorem, the number of pairs are given as follows:

Matching: 760Unmatching: 400.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For matching pairs, we have that:

There are 2 options(blue/red).For the first option, there are 20 socks, and for the second, 19 socks.

Hence the number of pairs is:

N = 2 x 20 x 19 = 760.

For the non-matching pair, we have that there are 20 red and 20 blue to choose, hence the number of pairs is:

N = 20 x 20 = 400.

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Help ASAP Im ALmost DONE!!

Determine the range of f(x) = |x| + 3.

{y | −∞ < y < ∞}
{y | −3 ≤ y < ∞}
{y | 0 ≤ y < ∞}
{y | 3 ≤ y < ∞}

Answers

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain and the outputs are called the range.

The range for the function f(x) = |x| + 3 is {y | 3 ≤ y < ∞}.

What is a function?

A function is defined as a relation between a set of inputs having one output each.

The inputs are called the domain and the outputs are called the range.

We have,

f(x) = |x| + 3

We need to find the range of f(x).

We can have x values of any real numbers.

For x = 0,

f(0) = 0 + 3 = 3

For x = 1,

f(1) = 1 + 3 = 4

For x = 2,

f(2) = 2 + 3 = 5

For x = 3

f(-3) = |-3| + 3 = 6

For x = -1,

f(-1) = |-1| + 3 = 1 + 3 = 4

For x = -2,

f(-2) = |-2| + 3 = 2 + 3 = 5

For x = -3,

f(-3) = |-3| + 3 = 3 + 3 = 6

We see that,

If we take x = 0, 1, 2, 3, 4, .... the f(x) values increases from 3, 4, 5, 6 and so on.

If we take x = 0 , -1, -2, -3, ..... the f(x) values increases from 3, 4, 5, 6 and so on.

This means that f(x) values are from 3 to infinity for x ∈ R

[ R = real numbers ]

Thus the range for the function f(x) = |x| + 3 is {y | 3 ≤ y < ∞}.

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Answer:

Step-by-step explanation: i think C is the answer

Given f(x)=(x−2)2+15 what is the the value of f(11)

Answers

The output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33

What is the output value of f(11) in the given function?

Given the data in the question;

f(x) = ( x − 2 )2 + 15f(11) = ?

To determine the output value of f(11), replace all the occurrence of x with 11 in the function.

f(x) = ( x − 2 )2 + 15

f(11) = (11−2)2 + 15

f(11) = (9)2 + 15

Remove the parenthesis

f(11) = 9×2 + 15

f(11) = 18 + 15

f(11) = 33

Therefore, the output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33.

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