Is either x = 18 or x = 14 a solution to x – 8 < 9? A. They are both solutions B. x = 18 is a solution, but x = 14 is not ОО O C. Neither is a solution D. X= 14 is a solution, but X-18 is not​

Answer:

362

Step-by-step explanation:

Answer:

19, 25, 32

Step-by-step explanation:

Find the difference within each number:

5 -> 7: + 2

7 -> 10: + 3

10 -> 14: + 4

With each difference, + 1 is added so we can infer the next difference will be + 5.

14 + 5 = 19

Next is + 6.

19 + 6 = 25

Now + 7.

25 + 7 = 32

The number of protozoa makes a series where every next term is double its previous term so on the slide now the number of protozoa is 16.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

Number of protozoa 5 days ago = 1

Since protozoa double every 1.25 days.

Number of times protozoa doubles in 5 days ⇒

5 / 1.25 = 4 times.

So,

1 →2 → 4 → 8 → 16

Hence "The number of protozoa on the slide now is 16".

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We can find the marginal densities as follows: f_X(x) = integral from 0 to 1 of f(x,y) dy = integral from 0 to 1 of (2/3)(x + y) dy

To find the value of C, we need to use the fact that the total probability over the region must be 1. That is,

integral from 0 to 1 of (integral from 0 to 1 of C(x + y) dy) dx = 1

We can simplify this integral as follows:

integral from 0 to 1 of (integral from 0 to 1 of C(x + y) dy) dx = integral from 0 to 1 of [Cx + C/2] dx

= (C/2)x^2 + Cx evaluated from 0 to 1 = (3C/2)

Setting this equal to 1 and solving for C, we get:

C = 2/3

To compute the covariance, we need to first find the means of X and Y:

E(X) = integral from 0 to 1 of (integral from 0 to 1 of x f(x,y) dy) dx = integral from 0 to 1 of [(x/2) + (1/4)] dx = 5/8

E(Y) = integral from 0 to 1 of (integral from 0 to 1 of y f(x,y) dx) dy = integral from 0 to 1 of [(y/2) + (1/4)] dy = 5/8

Now, we can use the definition of covariance to find Cov(X,Y):

Cov(X,Y) = E(XY) - E(X)E(Y)

To find E(XY), we need to compute the following integral:

E(XY) = integral from 0 to 1 of (integral from 0 to 1 of xy f(x,y) dy) dx = integral from 0 to 1 of [(x/2 + 1/4)y^2] from 0 to 1 dx

= integral from 0 to 1 of [(x/2 + 1/4)] dx = 7/24

Therefore, Cov(X,Y) = E(XY) - E(X)E(Y) = 7/24 - (5/8)(5/8) = -1/192

To compute the correlation, we need to first find the standard deviations of X and Y:

Var(X) = E(X^2) - [E(X)]^2

E(X^2) = integral from 0 to 1 of (integral from 0 to 1 of x^2 f(x,y) dy) dx = integral from 0 to 1 of [(x/3) + (1/6)] dx = 7/18

Var(X) = 7/18 - (5/8)^2 = 31/144

Similarly, we can find Var(Y) = 31/144

Now, we can use the definition of correlation to find p(X,Y):

p(X,Y) = Cov(X,Y) / [sqrt(Var(X)) sqrt(Var(Y))]

= (-1/192) / [sqrt(31/144) sqrt(31/144)]

= -1/31

Finally, to determine if X and Y are independent, we need to check if their joint distribution can be expressed as the product of their marginal distributions. That is, we need to check if:

f(x,y) = f_X(x) f_Y(y)

where f_X(x) and f_Y(y) are the marginal probability densities of X and Y, respectively.

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The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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Answer:

(0, 0) and (-4, -10)

(0. 0) and (2, 5)

(3, 7.5) and (-3, -7.5)

Step-by-step explanation:

We have the function:

y = 2.5*x

This is a linear relationship, with a slope equal to 2.5 and y-intercept equal to zero.

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then we can check with the points given in the options, and see which ones meet these two criteria.

a) (0, 0) and (-4, -10)

the slope will be:

a = (-10 - 0)/(-4 - 0) = 2.5

The slope is 2.5, then:

y = 2.5*x + b

To find the value of b, we just need to replace the values of one of the points in the equation, let's use the point (0, 0)

0 = 2.5*0 + b

0 = 0 + b

Then b = 0

y = 2.5*x

This means that these points would be on the line when graphed.

b) (0. 0) and (2, 5)

in this case the slope is:

a = (5 - 0)/(2 - 0) = 2.5

then:

y = 2.5*x + b

to find the value of b, let's use the point (0, 0)

0 = 2.5*0 + b

0 = 0 + b

b = 0

then

y = 2.5*x

This ordered pair would be on the line when graphed.

c) (3, 7.5) and (-3, -7.5)

The slope is:

a = (-7.5 - 7.5)/(-3 - 3) = 2.5

y = 2.5*x + b

The value of b will be obtained by using the point (3, 7.5)

7.5 = 2.5*3 + b

7.5 = 7.5 + b

b = 0

Then:

y = 2.5*x

This ordered pair will be on the line when graphed.

d) (1, 3.5) and (2, 5)

The slope is:

a = (5 - 3.5)/(2 - 1) = 1.5

The slope is different than 2.5, then we can discard this pair.

e) (1, 2.5) and (3, 6.5)

the slope is:

a = (6.5 - 2.5)/(3 - 1) = 2

Again, the slope is different than 2.5, then this option can be discarded.

We can conclude that the ordered pairs that will be graphed are:

(0, 0) and (-4, -10)

(0. 0) and (2, 5)

(3, 7.5) and (-3, -7.5)

Answer:

x=-27

Step-by-step explanation:

2x+2=-52

2x=-54

x=-27

:))

Answer:

2(-27) + 2 = -52

-54 + 2 = -52

-52 = -52

Step-by-step explanation:

2x + 2 = -52

     -2  = -2

2x       =  -54

/2             /2

x        =     -27

Answer:

B is the correct answer

Answer:

D.

Step-by-step explanation:

7×3 = 21.

t × t = t².

y = y.

21t²y.

hope it helps. :)

Answer: -30

Let's call the original number "x". Then, we can write the equation as follows:

-3/10 x + 1 = 10

To find the original number, we can isolate x by subtracting 1 from both sides and then multiplying both sides by 10/3:

-3/10 x = 9

x = (9 * 10)/(-3)

x = -30

So, the original number is -30.

Answer: Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b.

Step-by-step explanation:

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Answer:

10

Step-by-step explanation:

Rules for rounding:

5 or above give it a shove

4 or below Let it go

Let it go means go to the lower tens place rather than the higher

Answer:

20 foot.....................

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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If the price is $180 per square foot, the price of the lot will be $3,240,000

To calculate Xavier cost, we need to first calculate the area of the lot (trapezium)

Area of the trapzium = 1/2(a+b)h

Area of the trapezium =  1/2(175+185)*100

Area of the trapezium = 1/2(360)*100

Area of the trapezium = 18000 square foot.

If the price is $180 per square foot, the price of the lot will be 18000 * 180 = $3,240,000

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The numbers that are real numbers from the given set S are {-9, -8, 0, 1/4, 2, π, √5, 8, 9} and option a, b, c, d, e, f, g, h and i are all correct.

Given set is

S = {-9,-8,0,1/4,2,π,√5,8,9}

In order to list the real numbers from the given set, we need to check whether each number in the given set is real or not.

Real number can be defined as the set of all rational and irrational numbers.

1. -9 is a real number

2. -8 is a real number

3. 0 is a real number

4. 1/4 is a real number

5. 2 is a real number

6. π is an irrational number and it is a real number

7. √5 is an irrational number and it is a real number

8. 8 is a real number

9. 9 is a real number

Thus, option a, b, c, d, e, f, g, h and i are all correct.

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Answer:

N^2+3

Step-by-step explanation:

Hope that helps!

The value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

It is defined as the space occupied by the rectangle, which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We know that the diagonal of the rectangle bisect each other.

AE = CE

36 = 2x - 4

2x = 40

x = 20

Thus, the value of the x is 20 if the quadrilateral ABCD is a rectangle and  AE = 36 and CE = 2x - 4 because the diagonal of the rectangle bisect each other.

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Answer:

Step-by-step explanation:

And we have:

Also we have:

or substitute as above given:

Answer:

ST+TU=SU

ST=TU

SU/2=ST=TU

5x-2=3x-4

2x=-2

x=-1

ST=5x-2=5(-1)-2=-5-2=-7 --->|ST|=7

TU=3x-4=3(-1)-4=-3-4=-7 --->|TU|=7

ST+TU=SU ---> 7+7=14

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Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

Answer:

84

Step-by-step explanation:

Ratio of red:blue = 5: 7

That means if there are 12 stickers total, 5 will be red and 7 will be blue

The ratio of red:total is 5:12 which can be represented as 5/12

The ratio of blue:total is 7:12 which can be represented as 7/12

So, if there are 144 stickers

Number of blue stickers = 7/12 x 144 = 7 x 12 = 84

By using Pythagorean identities the expression can be written as

         -8 (sin ( x ) + 1 -sin 2x)

The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:

sin2θ + cos2θ = 1 (gives the relationship between sin and cos)

There are two other Pythagorean identities as follows :

sec2θ - tan2θ = 1 (gives the relationship between sec and tan)

csc2θ - cot2θ = 1 (gives the relationship between csc and cot)

Given expression is:

-8tanx/ 1 +tan2x

we know that:

By the Pythagorean Theorem:

1 + tan²x = sec²x

and tan x = sin x/cos x

and, sec x = 1/cos x

Now, we can write as:

   -8tanx / 1 +tan²x

= -8 tan x / sec²x

= -8 sin x /cos x ÷ 1/cos²x

= -8 sin x/cos x × cos²x/1

= -8 (sin ( x ) + 1 -sin 2x)

Complete Question:

Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:

−8tan 1 + tan2x.

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Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

Given that, 3 packages of peanuts and 4 hotdogs costs for a total of $14.50 and 1 package of peanuts and 6 hotdogs costs for $13.00.

Let p = packet of peanuts and h = hotdogs

Establishing the system of linear equations to find the cost of one each,

3p + 4h = 14.50.............(i)

p + 6h = 13

p = 13 - 6h........(ii)

Put eq (ii) in the eq(i)

3(13-6h) + 4h = 14.50

39 - 18h + 4h = 14.50

-14h = -24.5

h = 1.75

Put h = 1.75 in eq(ii)

p = 13 - 6(1.75)

p = 2.5

Hence, the cost of 1 packet of peanut is $2.5 and 1 hotdogs costs $1.75

Therefore, 6 package of peanuts and 10 hotdogs will costs =

6(2.5) + 10(1.75) = 15 + 17.5 = $32.5

Hence, Ruben spends $32.5 on 6 package of peanuts and 10 hotdogs.

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\( \sf \huge \gg{Pentagon}\)

Pentagon's Sum of the interior angles is 540°.

…………………………………………………………………………

Answer:

It's a pentagon.

Step-by-step explanation:

The sum of interior angles in an n-gon is (n-2)*180°

Look at this like this - a triangle's sum of angles is 180°

For each additional vertex you can split it from the polygon by cutting out a triangle. You can split a quadrangle into 2 triangles. You can cut a pentagon into a triangle and a quadrangle (or 3 triangles in total). You can split a hexagon into a pentagon and a triangle... So each additional vertex adds 180° of interior angles.

So we solve for n

540° = (n-2)*180°;    divide both sides by 180°

3 = (n - 2) * 1

3 = n - 2

n = 5

So it's a pentagon.

Step-by-step explanation:

hope it will help you ....

Answer:

Step-by-step explanation:

11/4 <3

Answer:

11/4

Step-by-step explanation:

Hope this helps!

Answer:

61x over 3

=16? on a graph

Step-by-step explanation:

I agree with the statement that if the money supply rises, the price level can remain constant, rise, or fall.

The relationship between money supply and the price level is complex and can be influenced by various factors. In the short run, an increase in the money supply can lead to a rise in the price level, a situation known as inflation. When there is more money available in the economy, people have more purchasing power, which can drive up demand for goods and services. If the supply of goods and services does not increase proportionally, prices may rise as a result.

However, in the long run, the relationship between money supply and the price level is not necessarily one-to-one. Other factors such as productivity, technology, and expectations also play significant roles. For example, if productivity increases at a faster rate than the money supply, the price level may remain constant or even decrease despite an increase in the money supply. Similarly, if there is a decrease in aggregate demand due to a recession or decreased consumer confidence, an increase in the money supply may not result in immediate inflation.

Overall, while an increase in the money supply can potentially lead to inflation, the actual outcome depends on a complex interplay of various economic factors in both the short and long run. Therefore, the price level can remain constant, rise, or fall when the money supply increases, making the statement valid.

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Answer:

It is 1, or A:  adding the two middle numbers

Step-by-step explanation:

When you think of it, here's an example:

15

23

55

34

Add 23 and 55:

23+55=78

We've got this now:

15

78

34

Now, all you've gotta do is find the mediam.

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Answer:

m+22-22=30-22

m=8

7/7 y=28/7

y=4

12-12+3p=-3-12

3p=-15

3/3 p=-15/3

p=-5