For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).

-7x + 8, -12x + 12, -17x + 16, . . .

Possible anwers:
-5x + 4
5x + 4
-5x - 4
5x-4

Answer:

The probability that Aaron goes to the gym on exactly one of the two days is 0.74

Step-by-step explanation:

Let P(Aaron goes to the gym on exactly one of the two days) be the probability that Aaron goes to the gym on exactly one of the two days.

Then

P(Aaron goes to the gym on exactly one of the two days) =

P(Aaron goes to the gym on Saturday and doesn't go on Sunday) +

P(Aaron doesn't go to the gym on Saturday and goes on Sunday)

P(Aaron goes to the gym on Saturday and doesn't go on Sunday) =

P(the probability that Aaron goes to the gym on Saturday)×P(If Aaron goes to the gym on Saturday the probability that he does not go on Sunday)=

0.8×0.7=0.56

Thus, P(Aaron doesn't go to the gym on Saturday and goes on Sunday) = P(The probability that Aaron doesn't go to the gym on Saturday)×P(if Aaron does not go to the gym on Saturday the probability he goes on Sunday)

=0.2×0.9=0.18

Then

P(Aaron goes to the gym on exactly one of the two days) =0.56 + 0.18 =0.74

Answer:

5 and 11

Step-by-step explanation:

Make equations:

x+y = 16

3x-4 = y

Substitute 3x-4 as y in x+y = 16

You get x + 3x - 4 = 16

Simplify into 4x - 4 = 16

Add 4 on both sides

you get 4x = 20

Divide each side by 4,

You get x = 5. Plug 5 back into x+y = 16

Subtract 5 from both sides, and you get y = 11

Answer:

(-2,-2)

Step-by-step explanation:

x^2 + y^2 = 9

A circle has an equation of the form

(x-h)^2 + (y-k)^2 = r^2

where the center is at ( h,k) and the radius is r

The circle is centered at (0,0) and has a radius 3

The only point entirely within the circle must have points less than 3

(-2,-2)

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]\frac{cosA}{1-sinA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex]

= [tex]\frac{cosA(1+sinA)+cosA(1-sinA)}{(1-sinA)(1+sinA)}[/tex]

= [tex]\frac{cosA+cosAsinA+cosA-cosAsinA}{1-sin^2A}[/tex]

= [tex]\frac{2cosA}{cos^2A}[/tex] ← cancel cosA on numerator/ denominator

= 2 × [tex]\frac{1}{cosA}[/tex]

= 2secA

= right side, thus proven

Answer:

0

Step-by-step explanation:

To calculate the slope or gradient we use this formula:

Slope = y2-y1/x2-x1

(-3,2) = (x1, y1)

(4,2) =  (x2, y2)

Slope = 2-2/4-(-3) = 0

Answer from Gauthmath

Answer:

[tex]we \: know \: that \: slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{2 - 2}{4 - - 3} \\ = \frac{0}{7} = 0 \\ slope \: = 0 \\ thank \: you[/tex]

Answer:

divide by 2

Step-by-step explanation:

to find x you must divide 8 by 2.

Answer:

you divide 8 by 2

Step-by-step explanation:

To isolate the variable, x you need to divide by 2 on both sides so it cancels out the 2 on 2x and will divide 8 by 2=4

Answer:

2.31 * 10 ^ 19

Step-by-step explanation:

Take the number of kilograms  per liter and multiply by the number of liters

3.5×10^−2 * 6.6×10^20​

The coefficients get multiplied and the exponents add

3.5 * 6.6   * 10 ^ (-2+20)

23.1 * 10 ^ 18

This is not scientific notation since 23.1 is greater than or equal to 10 so we move the decimal 1 place to the left and add 1 to the exponent

2.31 * 10 ^ 19

Answer:

1 = 35p

6 = 35p×6

= 240p

Therefore, 6 bagels cost 240 p

Answer:

5, 12, 19, 26, 33

Step-by-step explanation:

Using the recursive rule and a₁ = 5 , then

a₂ = a₁ + 7 = 5 + 7 = 12

a₃ = a₂ + 7 = 12 + 7 = 19

a₄ = a₃ + 7 = 19 + 7 = 26

a₅ = a₄ + 7 = 26 + 7 = 33

The first 5 terms are 5, 12, 19, 26, 33

Answer:

10 digress when converted to nearest digree

Answer:

42.78⁹, 137.22⁹.

Step-by-step explanation:

sine Ф=0.6792

Angle Ф in the first quadrant = 42.78 degrees.

The sine is also positive in the second quadrant so the second solutio is

180 - 42.78

= 137.33 degres.

The momentum of a variable is represented by the rate of change. The average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.

The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.

The area of the circle when the radius of the circle is 2.5 feet is,

Area of circle = π × (2.5 feet)²

                      = 19.635 ft²

The area of the circle when the radius of the circle is 5.5 feet is,

Area of circle = π × (5.5 feet)²

                      = 95.0332 ft²

Now, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is,

Average rate of change = (Change in the area)/(Change in radius)

                                         = (95.0332 ft² - 19.635 ft²) / (5.5 ft - 2.5 ft)

                                         = 25.1327ft² per ft

Hence, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.

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Answer:

[tex]{ \tt{ \frac{1}{x} + \frac{1}{3} < \frac{1}{5} }} \\ \\ { \tt{ \frac{1}{x} > - \frac{2}{15} }} \\ \\ { \tt{x > - \frac{15}{2} }} \\ \\ { \bf{ - \frac{15}{2} < x < 0 }}[/tex]

Answer:

Step-by-step explanation:

Given,

7,625,750,263

When estimated,

8,000,000,000

= 8 × 1,000,000,000

[tex] = 8 \times {10}^{9} [/tex]

Answer:

a = 10

b = 15

Hope this is correct!!

Answer:

p = 1

Step-by-step explanation:

7 = 8 - p

7 + p = 8

p = 8-7

p = 1

Answered by Gauthmath

Answer:

the expression for the total area of the wall is 10×x or simply 10x

to find the area of a section we need to take the total area of the wall and divide it by 5 (as there are 5 equal sections).

the expression for the area of each section is 2x

Step-by-step explanation:

remember, the area of a rectangle is length×width (or height).

so, the total wall can be seen as one big rectangle 10 ft high and x ft long. its area is therefore 10x (meaning 10×x).

since the wall is separated into 5 equal segments, the area of one such segment is simply 1/5 of the total area. so, we need to divide the total area by 5.

so, the expression for the area of each segment is

10x/5 = 2x

Answer:

chemical

Step-by-step explanation:

Answer:

[tex]{ \tt{ \sqrt[3]{8} {}^{ \frac{1}{4} x} }} \\ = { \tt{ {8}^{( \frac{1}{4}x) \frac{1}{3} } }} \\ = { \tt{ {8}^{ \frac{1}{12} x} }} \\ = { \tt{ \sqrt[12]{8} {}^{x} }}[/tex]

Answer:

[tex]\sqrt[12]{8^{x} }[/tex]

Step-by-step explanation:

[tex]\sqrt[12]{8^{x} }[/tex]

Answer:

Lines parallel to this line will have a slope of -1

Step-by-step explanation:

y = -x + 7

This line is in slope intercept form

y = mx+b where m is the slope

The slope is -1

Parallel lines have the same slope

Lines parallel to this line will have a slope of -1

Answer:

-1

Step-by-step explanation:

Parallel lines have the same slope

The equation y = -x + 7 has a slope of -1 meaning that a line parallel to it would also have a slope of -1

The value of x for the given equation [tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2 will be 2 so option (B) must be correct.

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

Given the equation

[tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2

We know that,

xlogb = log[tex]b^{x}[/tex]

So,

2[tex]log_{8}[/tex](x) = logx²

For the same base

logA + logB = log(AB)

So,

[tex]log_{8}[/tex](16) + [tex]log_{8}[/tex](x)² = 2

[tex]log_{8}[/tex](16x²) = 2

We know that

[tex]log_{a}[/tex](b) = c ⇒ b = [tex]a^{c}[/tex]

so,

[tex]log_{8}[/tex](16x²) = 2 ⇒ 8² = 16x²

x = 2 hence x = 2 will be correct answer.

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Answer:

The top answer is correct

Step-by-step explanation:

Vertical angles are formed when two lines meet each other at a point and they are always equal to each other. Their angles are also equal. In this problem number two has angles that do not match and number three also has different angles. Finally number four also has different angles and is not equal to each other. Leaving number one (the top answer) which looks to have the same angle, and is equal to each other.

Answer:

C: 2 × 10⁴

Step-by-step explanation:

We are told that the average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter.

Thus;

P_net,average = 8900 Kcal/m²

We are also told that net primary production of a selected portion of a tropical rain forest in a given year is 1.8 × 10^(8) kilocalories.

Thus;

P_net = 1.8 × 10^(8) Kcal

To get the average, the formula is;

P_net,average = P_net/Area

Thus;

Area = P_net/P_net,average

Plugging in the relevant values;

Area = (1.8 × 10^(8))/8900

Area ≈ 2 × 10⁴ m²

Answer:

29

Step-by-step explanation:

all in all it is 180 so 61 + m (which is 90 because it is a right angle)=151

then 180-151=29

Answer:

https://www.dasd.org › 4444PDF

Web results

Entering Algebra 2: Answer Key

Given:

The ratio of 45-45-90 triangle is [tex]x:x:x\sqrt{2}[/tex].

The hypotenuse of the given isosceles right triangle is [tex]7\sqrt{2}[/tex].

To find:

The lengths of the other two sides of the given isosceles right triangle.

Solution:

Let [tex]l[/tex] be the lengths of the other two sides of the given isosceles right triangle.

From the given information if is clear that he ratio of equal side and hypotenuse is [tex]x:x\sqrt{2}[/tex]. So,

[tex]\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]

[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=l[/tex]

[tex]7=l[/tex]

Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.

Answer:

- 22.5

Step-by-step explanation:

Substitute x = 3 into f(x) and x = 16 into h(x) , then

[tex]\frac{1}{2}[/tex] g(3) - h(16)

= [tex]\frac{1}{2}[/tex] × - 3(3)² - (2[tex]\sqrt{16}[/tex] + 1)

= [tex]\frac{1}{2}[/tex] × - 3(9) - (2(4) + 1)

= [tex]\frac{1}{2}[/tex] × - 27 - (8 + 1)

= - 13.5 - 9

= - 22.5

For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles  triangle