Log(4x-10)32=5 solution?

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:

11 am

Step-by-step explanation:

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:

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:

50pi circumference

96pi area

Step-by-step explanation:

The outer pathway is a circle of radius 25, so the circumference is

2*pi*25 or 50pi

The are is pi*r^2 or 625 pi - pi*23^2 = 96pi

Answer:

7

Step-by-step explanation:

LB of d = 186.5

UB of d = 187.5

LB of p = 27.5

UB of p = 28.5

186.5/28.5 = 6.54

187.5/27.5 = 8.81

The answer is 7 since both bounds round up to 7.

The value of c for the David journey is 7.

Since David drove a distance (d) of 187 km

So here the 3 significant figures should be

LB of d = 186.5

UB of d = 187.5

And,

LB of p = 27.5

UB of p = 28.5

Now the average should be

[tex]186.5\div 28.5[/tex] = 6.54

And,

[tex]187.5\div 27.5[/tex] = 8.81

So, The value of c for the David journey is 7.

Learn more about distance here: https://brainly.com/question/23561100

Answer:

120°

Step-by-step explanation:

The area of a sector of a circle is given by:

[tex]A = \frac{\alpha }{360} * \pi r^2[/tex]

where α = central angle of sector in degrees

r = radius of circle.

The radius of the circle is 15 cm and the area of the sector is 235.62 cm^2. Therefore:

[tex]235.62 = \frac{\alpha }{360} * \pi * 15^2\\\\84823.2 = 706.86 * \alpha \\\\=> \alpha = 84823.2 / 706.86\\\\\alpha = 120^o[/tex]

The central angle of the sector is 120°

Answer:

no

Step-by-step explanation:

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

Answer:

  see below

Step-by-step explanation:

A picture can explain a lot. The coordinates are shown in the attachment.

Positive angles are measured counterclockwise (CCW). Negative angles are measured clockwise. So, -3π/4 is the same as +5π/4, since a circle is 2π = 8π/4.

___

It can be useful to memorize this chart, or keep one like it for handy reference.

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:

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:

0 < x  < 3

Step-by-step explanation:

3 < x + 3 < 6

Subtract 3 from all sides

3-3 < x + 3-3 < 6-3

0 < x  < 3

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to all sides

3 - 3 < x + 3 - 3 < 6 - 3

~Simplify

0 < x < 3

Best of Luck!

Answer:

No Solution

Step-by-step explanation:

For one solution;

it will be consistent and independent ( example, x = 1 and y = 2)

For no solution;

it will be inconsistent and independent ( example, 0 = 2)

For many solution;

it will be consistent and dependent ( example, 1 = 1,  2 = 2,  y = y,  x = x)

Given;

        3x - 2y = 3 -------------- equation (1)

        6x - 4y = 1 --------------- equation (2)

6:     18x - 12y = 18 -------------equation (3)

3:     18x - 12y = 3 --------------- equation (4),      subtract (4) from (3)

      --------------------------------------------

        0 - 0      =  15

     -----------------------------------------------

       0 = 15

The solution is inconsistent and independent, because zero (0) cannot be equal to 15

Thus, the system has no solution

Answer:

ONE SOLUTION

3x-5y=8; 5x-3y=2

3x+2y=8; 4x+3y=1

NO SOLUTION

3x-4y=2; 6x-8y=1

3x-2y=3; 6x-4y=1

INFINITELY MANY SOLUTIONS

3x-6y=3; 2x-4y=2

Step-by-step explanation:

i got this right on edge

Answer:

10.62

Step-by-step explanation:

20- 9.38 = 10.62

Answer:

[tex]\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]

Step-by-step explanation:

[tex]27a^6+8g^{12}[/tex]

[tex]\mathrm{Rewrite\:}27a^6+8g^{12}\mathrm{\:as\:}\left(3a^2\right)^3+\left(2g^4\right)^3[/tex]

[tex]\mathrm{Apply\:Sum\:of\:Cubes\:Formula:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)[/tex]

[tex]\left(3a^2\right)^3+\left(2g^4\right)^3=\left(3a^2+2g^4\right)\left(3^2a^4-3\cdot \:2g^4a^2+2^2g^8\right)[/tex]

[tex]=\left(2g^4+3a^2\right)\left(2^2g^8-3\cdot \:2g^4a^2+3^2a^4\right)[/tex]

[tex]=\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]

Answer:

b

Step-by-step explanation:

correct on edge 2021

the other one isnt even an option

Answer:

120

Step-by-step explanation:

First, you notice that both the angles add up to 180 degrees because it is a straight line.  Therefore, 2x+x+90=180.  Now you have an equation to solve!  Subtract 90 from both sides and combine like terms.  3x=90.  Therefore, x=30.  Now you plug x back in to find out m<DBC.  DBC=x+90 which is 30+90= 120.  

Answer:

4x^2 + x + 3

Step-by-step explanation:

Here, we want to find the sum of the two polynomials

That would be ;

3x^2 + x-7 and x^2 + 10

Adding means we are taking like terms together

That would be

3x^2 + x ^2 + x -7 + 10

= 4x^2 + x + 3

Answer:

It's D

Step-by-step explanation:

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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Steps:

Shape: Regular octagon

Solved for area

Side length= 12cm

A=2(1+√2)a2

Description:

Using the formula A=2(1+√2)a2 for area and  Regular octagon, we calculate the side length that is 12 cm. After you calculate your answer will equal as A≈695.29cm². Since it says to round to the tenth, your answer will equal as 695.3 after rounding.

Answer: A≈695.29cm²

Round to the nearest tenth =  695.3

Please mark brainliest

Hope this helps.

Answer:

E= 52 degrees and F=21 degrees

(sorry)

Step-by-step explanation:

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Answer:

therefore the population of the culture is 2313

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:

Step-by-step explanation:

A rectangle can is made up of two right angled triangle as shown.

Since area of a rectangle = [tex]base * height[/tex]

Area of one of the triangle = [tex]\frac{1}{2}\ * \ area\ of\ the\ rectangle[/tex]

The length and width of the triangle will be the same as that of the rectangle i.e  5units long and 2units wide

Area of one of the triangle = [tex]\frac{1}{2} * 5 * 2[/tex]

Area of one of the triangle = 5units²

The area of the triangle above will equal one half of a rectangle that is 5 units long and 2 units wide.

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: angleAOB = 40°

Step-by-step explanation: Drawing these angles, we see that angle AOC is the sum of angle AOB and angle BOC, so:

angleAOC = angleAOB + angleBOC

108 = 3x + 4 + 8x - 28

108 + 24 = 11x

11x = 132

x = 12

Knowing x, to find angleAOB, just substitute and calculate:

angleAOB = 3x+4

angleAOB = 3.12 + 4

angleAOB = 40°

The angle AOB is 40°.

Answer: B) 4

Step-by-step explanation:

Using the formula

Standard deviation = √( (Σ ( x - π)²)/n)

To get the standard deviation, first we workout the Mean which is the simple average of the data set

n = 4

(13 + 17 + 9 + 21) / 4 = 60/4 = 15

Mean(x) = 15

Then (x-π)²

13 - 15 = (-2)² = 4

17 - 15 = (2)² = 4

9 - 15 = (-6)² = 36

21 - 15 = (6)² = 36

Σ ( x - π)² = (4 + 4 + 36 + 36) = 80

Standard deviation = √( (Σ ( x - π)²)/n

= √ (80/4)

=√20

= 4.47

= 4

Answer: 3 years

Step-by-step explanation:

Interest = 1740 - 1200 = 540

SI = prt / 100

540 = 1200 x 0.15 x t

540 = 180t

t = 540 / 180 = 3

Find the interest amount.

[tex]I=1740-1200=540[/tex]

Use the formula for simple interest.

[tex]I=prt/100[/tex]

Solve for t.

[tex]540=1200 \times 15\% \times t[/tex]

[tex]540=1200 \times \frac{15}{100} \times t[/tex]

[tex]540=180t[/tex]

[tex]t=\frac{540}{180}[/tex]

[tex]t=3[/tex]