The first term in a Geometric series is 3 and the third term is 27. What is the second term

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:

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:

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

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:

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:

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.

This is a answer of this question.

Answer:

10.62

Step-by-step explanation:

20- 9.38 = 10.62

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

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:

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:

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:

0.52

Step-by-step explanation:

0.52 is a decimal and 52/100 or 52% is the percentage for 13/25.

hope this is helpful:)

Answer:

therefore the population of the culture is 2313

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:

no

Step-by-step explanation:

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

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:

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:5x+10

Step-by-step explanation:

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

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: 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: 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:

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:

11 am

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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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]

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:

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

Answer:

E= 52 degrees and F=21 degrees

(sorry)

Step-by-step explanation: