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Answer:

[tex]b^2 = 14[/tex]

Step-by-step explanation:

log(base)(power) = (exponent).

In this case: logb(14) = 2

Note the variable/number in place of each term. Set the equation:

base^power = exponent

[tex]log_b 14 = 2\\b^2 = 14[/tex]

[tex]b^2 = 14[/tex] is your answer.

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[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]

[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]

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[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

[tex]\fbox{X = 24}[/tex]

Solution:

Given expression ➟ 3(2x-5) = 4x + 33,

using distributive property open the above bracket,

➳ 3×2x - 3×5 = 4x + 33

Using BODMAS solve the L.H.S,

➳ 6x - 15 = 4x + 33

now arrange the like terms aside,

➳ 6x - 4x = 33 + 15

➳ 2x = 48

➳ x = 48/2

➳ x = 24

the given expression is true for x = 24

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Answer:

See below

Step-by-step explanation:

.2 of an hour   is     .2 * 60 min = 12 min

120 min / 10 times = 12 min per trip

The train takes 12 minutes to go around the museum once.

A mathematical arithmetic operation is multiplication. Moreover, it is the practice of repeatedly adding the same expression kinds.

Example: 2 x 3 means that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A toy train that travels the length of a train museum is present. In two hours, the train travels roughly ten times.

The error in the student's work is converting 0.2 hours to 20 minutes. 0.2 hours is equal to 12 minutes, not 20 minutes.

To correct the student's work, we can multiply 0.2 by 60 to convert it to minutes:

0.2 hours × 60 minutes/hour = 12 minutes

Therefore, it takes 12 minutes for the train to go around the museum 1 time.

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The ways that the policies of President Kennedy and President Johnson are similar and different is given below:

After the assassination of Kennedy, Johnson was known to have followed the footsteps of his predecessor's and went ahead on implementing some of his programs.  Johnson was known to have went ahead with the the anti-poverty program and the Civil Rights Bill.

The differences between the both presidents were:

Conclusively, these two president were said to be very were similar, and yet they were different.

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Step-by-step explanation:

Angles in a quadrilateral add to 360 degrees. So, x = 360-88-142-106=24 degrees

Answer:

Step-by-step explanation:

In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.

Here, that post/pre ratio is 3/4 = 0.75.

( 3x+8 ) ( 7x-2 )

= 21x² + 56x - 6x -16

= 21x² + 50x -16

HOPE IT HELPS :)

The total number of people attending the game is 1700.

Percentage in simple terms can be defined as a part per 100.

Percentage is a ratio or number which has to be defined as a fraction of 100.It is denoted by %.

If we are asked to calculate the percent of a number simply divide it by the whole part or number and then multiply with 100.

Percent of people supporting the home team = 92%

Number of people supporting the home team = 1564

Let x be the total number of people attending the game.

⇒ [tex]\frac{1564}{x}[/tex] × 100 = 92

⇒ [tex]\frac{1564}{x}[/tex] = 0.92

⇒ x = [tex]\frac{1564}{0.92}[/tex]

⇒ x = 1700

Hence, the total number of people attending the game will be 1700.

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Answer:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Step-by-step explanation:

hope this helps if does mark brainllest

So

f(2)

f(3)

f(4)

Answer:2.4 isn’t occupied, whilst 13.3 is full

Step-by-step explanation: answerrr

Answer:

Lateral Area = 906.3

Surface Area = 461.8

Step-by-step explanation:

1. Find Values:

Diameter = 14

Radius = 7

Height = [tex]\sqrt{19^{2}-7^{2} }[/tex]=17.7

2. Find Lateral Area:

LA= [tex]\frac{1}{3}[/tex] * PI * [tex]r^{2}[/tex] * h

LA = 906.3

3. Find Surface Area:

SA = PI * r * slant height + (2 * PI * r)

SA =  461.8

Answer:

5. radius= TD

inscribed angle =RQS

diameter =TA

6. radius=SY

secant=TU

Tangent=S

Answer:

The correct polynomial is F. Calculation errors combining h terms and distributing -1.

Step-by-step explanation:

[tex]( - 4h + 3)( {h}^{2} + 9h - 1)[/tex]

[tex] - 4 {h}^{3} - 36 {h}^{2} + 4h + 3 {h}^{2} + 27h - 3[/tex]

[tex] - 4 {h}^{3} - 33 {h}^{2} + 31h - 3[/tex]

Answer:

3*30 = 90

Step-by-step explanation:

3*30 = 90

Answer:

1. B = 6 m²

2. h = 2 m

3. V = 12 m³

Step-by-step explanation:

the base is a right triangle

Then

[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]

____________

The height of the prism is the length of the segment that join the base to its opposite face

Then

h = 2m (given)

___________

The volume of the prism :

[tex]V=B\times h=6\times 2=12 m^3[/tex]

Answer:

20 + 10(x) = total cost

Step-by-step explanation:

x represents the number of messages, so you multiply it by 10. 20 is a fixed number so you just add it without changing its value.

Answer:

square root of 39

Step-by-step explanation:

5^2+b^2=8^2

25+b^2=64

64-25=39

Check the picture below.

let's notice something, the equation of line B is in slope-intercept form, thus

[tex]y = 2x + \underset{\stackrel{\uparrow }{b}}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so using that grid scale, we can just get two points from the line A to get its equation, let's use those in the picture below

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-6)}}}\implies \cfrac{0+6}{6+6}\implies \cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y+6=\cfrac{1}{2}(x+6)\implies y+6=\cfrac{1}{2}x+3\implies y=\cfrac{1}{2}x-3[/tex]

Answer:Eight to 12 inches is usually adequate. If drainage is a problem, or if the plants you are growing prefer drier soil, the bed could be taller and filled with a porous growing medium.

Step-by-step explanation:

The triangles ABC and EDC have corresponding sides

The triangles ABC and EDC are similar

The given parameters are:

ED = 8, DC = 10, EC = 12, AB = 12

BC = 15 and AC = 21

To determine that the triangles are similar, we simply divide the corresponding sides to determine the scale factor (k).

So, have:

k = AB/ED = BC/DC

This gives

k = 12/8  = 15/10

Evaluate the quotients

k = 1.5 = 1.5

The scale factors are equal

Hence, the triangles ABC and EDC are similar

Readmore about similar triangles at:

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Answer:

yes

Step-by-step explanation:

your answer is correct

Answer:

115

Step-by-step explanation:

If 65 is subtracted from 180the answer is 115

Answer:

Area of cube = 6l²

= 6×2²

= 24 ft²

2 feet.

how many square feet of wood he used to build the box.

each side measures 2ft.

A=L²=(2 ft)²=4 ft²

A cube has 6 sides so the total quantity of wood is:

Wood=6×A

=6×4 ft²

=24 ft²

he used 24 ft² of wood to build the box.

The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

We start by drawing a rectangle around the triangle as shown in the diagram below.

Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)

[tex]\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)[/tex]

The area of the triangle RTS is (8×4) - 1/2 (16+12+10).

More about the geometry link is given below.

https://brainly.com/question/7558603

Answer:Option A

Step-by-step explanation: