​"The unemployment rate has risen more than a percentage point to 8.9​% in February from 7.1% last​ November." What is the relative change in the unemployment rate expressed as a​ percentage?

Answer: 1. x=4

2. x=12

3. x=-1

Step-by-step explanation:

1. 2(3x-5)=-4x+30

6x-10=-4x+30

6x+4x-10=-4x+4x+30

10x-10=30

10x-10+10=30+10

10x=40

10x/10=40/10

x=4

2. 5x-6-3x=18

5x-3x-6=18

2x-6=18

2x-6+6=18+6

2x=24

2x/2=24/2

x=12

3. -11-5x=6(5x+4)

-11-5x=30x+24

-11-5x+5x=30x+5x+24

-11=35x+24

-11-24=35x+24-24

-35=-35x

x=-1

The amount of cholesterol that is in each is given as  c = 19, E = 275 and P = 9

We have to define the variables as:

E + C + P = 303

3C + 4P = 93,

we have to make pizza, P the subject

4P = 93 - 3C,

P = (93 - 3C) / 4

2E + C = 569,

2E = 569 - C

E = (567-C) / 2

We have to form the equation

(569-C)/2 + C + (93-3C)/4 = 303

We have to multiply the equation by 4

(569-C)2 + 4C + 93-3C = 1212

1138 - 2c + 4c + 93 - 3c = 1212

-C = 1212- 93 -1138

-c = -19

hence c = 19 mg for 1 cupcake

E = (569- 19)/2

275 for 1 egg

P =  (93-3C)/4

P = 93 - 57 / 4

= 36 / 4

= 9 for one pizza

Hence we would have c = 19, E = 275 and P = 9

19 + 275 + 9 = 303 (proves it to be correct)

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19+274 + 7 = 300 mg

i responded to this already but it it is FALSE

Answer: False

Step-by-step explanation: Ratio is A:B = A/B

For given polygon, the value of x is 61°

In this question we have been given a polygon with five sides.

We have been given the five interior angles of the polygon.

We need to find the value of x.

From given figure, we can observe that the given polygon is nothing but a pentagon.

We know that the sum of all interior angles of the pentagon is 540°

⇒ 107° + 144° + 138° + x° + 90° = 540°

⇒ 479° + x° = 540°

⇒ 479° + x° - 479° = 540° - 479°

⇒ x = 61°

Therefore, for given polygon, the value of x is 61°

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The estimate (to one decimal place) of the average rate of change f is 1.7

The interval is given as

x = 1 to x = 4

This can be represented as

(a, b) = (1, 4)

From the attached graph, we have

f(1) = 2

f(4) = 7

The estimate (to one decimal place) of the average rate of change f is

Rate = [f(b) - f(a)]/[b - a]

This gives

Rate = [f(4) - f(1)]/[4 - 1]

So, we have

Rate = [7 - 2]/[4 - 1]

Evaluate

Rate = 1.7

Hence, the estimate (to one decimal place) of the average rate of change f is 1.7

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The time it would take from when you threw the ball until it lands on the ground below is equal to 2.16 seconds.

Given the following data:

Height of building =  (42.0+A) m =  (42.0+9) m = 51 m.

Initial speed of ball = (14.5+B) m/s = (14.5+8) m/s = 22.5 m/s.

Scientific data:

Acceleration due to gravity = 9.8 m/s²

Generally speaking, when this ball is thrown straight up at a certain speed, it begins to slow down as a result of the effect of downward gravitational acceleration. Consequently, the ball reaches a maximum height where it can't go higher anymore and then starts to fall down due to gravity.

In order to determine the time it would take from when you threw the ball until it lands on the ground below, we would apply the second equation of motion:

S = ut + ½gt²

½gt² + ut - S = 0

Substituting the given parameters into the formula, we have;

0.5(9.8)t + 22.5t - 51 = 0.

4.9t + 22.5t - 51 = 0.

Next, we would solve the quadratic equation by using the quadratic formula:

[tex]t = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\t = \frac{-22.5\; \pm \;\sqrt{22.5^2 - 4(0.5)(-51)}}{2 \times 0.5}\\\\t = \frac{-22.5\; \pm \;\sqrt{506.25 + 102}}{2}\\\\t = \frac{-22.5\; \pm \;\sqrt{608.25}}{2}[/tex]

t = 2.16 or -47.16

Since the time cannot be negative, the value of t to three significant figures is equal to 2.16 seconds.

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Complete Question:

Standing on the roof of a (42.0+A) m tall building, you throw a ball straight up with an initial speed of (14.5+B) m/s. If the ball misses the building on the way down, how long will it take from when you threw the ball until it lands on the ground below? Give your answer in seconds and round the answer to three significant figures.

A=9, B=8

Answer: hegdbweh wnbdb jsbdjh

Step-by-step explanation:b jbedbd jakdnfcj jsdcnbv

The probability of P(4) is 1/8. 12.5%, 0.125.

The probability of a number less than 10 is 8/8. 1 , 100%

The probability of a prime number is 1/2. 0.5. 50%.

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

Probability of spinning 4 = number of possible outcomes / number of sections

1/8 = 0.125 = 12.5%

Probability of spinning a number less than 8 = possible outcomes / total sections

8/8 = 1 = 100%

Probability of spinning a prime number = number of possible outcomes / total sections

Prime numbers between 1 and 8 = : 2, 3, 5, 7

4/8 = 0.5 = 50%

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Answer:

see explanation

Step-by-step explanation:

-9x = -3y

-6x = 2  1/5y

3x = 0y

9x = 2y

Answer: 45 mins

Step-by-step explanation:

Maria and Anita = 30mins

this is 2/3 the time of what Maria takes

so 30 mins is 2/3 so 30 / 2/3 = 45mins

Answer:

20 +2x+1=7, hope this is the answer

Step-by-step explanation:

both statements are wrong.

a right (or right-angled) triangle has a 90° angle. that is all.

an equilateral triangle has 3 equally long sides.

but that also implies that the 3 angles must be equal too.

the sum of all angles in a triangle must be 180°.

if all angles are equally large, that means

180 = 3×angle

angle = 180/3 = 60°.

that means none of the angles can be 90°, so, no right-angled triangle can be equilateral.

and no equilateral triangle can be right-angled.

The angle x to the nearest degree is 40°

Given,

The depth of submarine that a ship's sonar detects = 440 feet

The distance from submarine to ship in oceans surface = 600 feet

We have to find the angle x.

The figure is given below:

Here, we have to use the tangents definition:

That is,

tan θ = opposite side / adjacent side

Here,

tan x = 440 / 600

We want to find x,

So,

x = tan⁻¹ (440 / 600)

x = tan⁻¹ (0.73333)

x = 40.28°

By taking nearest angle, we get x as 40°

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Answer:

C≈47.25

Step-by-step explanation:

Use the formula C= πd, where C is circumference, π is pi, and d is diameter.

Input the numbers and we'll shorten π to 3.15

C=3.15(15)

C≈47.25

Hi!

To find the circumference of a circle, use the following formula:

[tex]\implies\sf{Circumference_o=\pi d}[/tex]

Now, we know that the diameter is 15 ft, so let's plug that into the formula:

[tex]\implies\sf{Circumference_o=15\pi }[/tex]

We've found the circumferencce in terms of pi! Cheers :)

Have a nice day!

I hope this helped.

While installing 250 feet of PVC conduit given the details we have in the question, The amount of cement needed is 1 1/4  can of PVC cement

Given data

PVC conduit required to be installed =  250 feet

Each 100-foot section takes 1/2 can of PVC cement

Each 50-ft section takes 1/4 can of PVC cement

250 feet will be split into two which is 200 feet and 50 feet. We solve for each separately then add up

solving for 200 feet

200 feet contains how many 100-foot, this is solved as follows:

= 200 / 100

= 2

And each 100-foot takes 1/2 can of PVC cement, therefore:

2 * 1/2 = 1

solving for 50 feet

50 feet takes 1/4 can of PVC cement

= 1/4

The sum: 1 + 1/4 = 1 1/4 ( mix number )

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Answer:

Yes

Step-by-step explanation:

Every number is divisible by 10, in this case you just need to tale of the zero at the end. 570,746 is the answer.

The seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.

Mixed Techniques Research is characterized as a subtype of user research that incorporates both qualitative and quantitative research approaches.

The overarching goal and fundamental tenet of mixed methods research is that using both quantitative and qualitative methods together yields a more comprehensive grasp of study issues and complicated phenomena than either method by itself.

In conclusion, the seamless integration of quantitative and qualitative data during analysis and interpretation is one of the main issues in mixed research methods.

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Answer:

4 y + -10 x + 7

Step-by-step explanation:

Simplify the following:

2 (2 x + 2 y) - 14 x + 7

2 (2 y + 2 x) = 4 y + 4 x:

(4 y + 4 x) - 14 x + 7

Grouping like terms, 4 y + 4 x - 14 x + 7 = 4 y + (4 x - 14 x) + 7:

4 y + (4 x - 14 x) + 7

4 x - 14 x = -10 x:

Answer: 4 y + -10 x + 7

Answer:

8x^2-5x+10

you just need to put the ones that are the same together

A statement that best describes the area of the triangle is It is one-half the area of a square of side length 4 units.

The area of a triangle can be found by the formula:
= 1/2 x base x height

The base is 4 units and the height if 4 units.

Area of the triangle is:

= 1/2 x 4 x 4

= 8 units²

The area of a square of side length 4 units. is:

= 4 x 4

= 16 units²

In conclusion, option B is correct.

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Answer:

8x^6 + 6x^2 - 9x + 11

Step-by-step explanation:

Well, I combined like terms.

There's only two terms you can combine here anyhow; those being 14x^2 and -8x^2.

Answer:

f(7) = 92

Step-by-step explanation:

f(7) means what is the value of f(x) when x = 7

substitute x = 7 into f(x)

f(7) = 2(7)² - 6 = 2(49) - 6 = 98 - 6 = 92

Answer:

3.5

Step-by-step explanation:

21x+6

21/21    6/21

x=3.5

Answer:

39.3°, 140.7°

Step-by-step explanation:

supplementary angles means that together they have 180°.

so, when we have 2 angles, x and y.

x + y = 180

x = y - 101.4

using the second equation in the first

y - 101.4 + y = 180

2y - 101.4 = 180

2y = 281.4

y = 281.4/2 = 140.7°

x = y - 101.4 = 140.7 - 101.4 = 39.3°

so, the starting angle is 39.3°, and every supplementary angle is then 140.7°.

Answer:

20 - i

Step-by-step explanation:

In complex number addition/subtraction, add the imaginary part and add the real part separately.

The error is while adding imaginary part, you have to combine the coefficients of the imaginary numbers. So, -3 +2 will give us -1. So, the result is -i.

16  - 3i + 4+  2i = 16 + 4  -3i + 2i

                         = 20 - i

Answer:

20 - i

Step-by-step explanation:

The error made during second step:

When adding or subtracting expression, we add or subtract like terms.

(16 - 3i) + (4 + 2i) get rid of parenthesis

16 - 3i + 4 + 2i add/subtract like terms

20 - i (the mistake is made here, instead of "i" they typed i^2)

The rate of return  that would keep the individual from ending up a millionaire based on the Building Wealth charts is 9.22%

What is most appropriate method in this case?

The most suitable approach to solve for the rate of return in this instance is to make use of a financial calculator , which requires inputs as such the monthly payments, the beginning balance  which is the present value and the future value which is $1,000,000 since the individual intends to retire as a millionaire.

N=480(number of monthly payments in 40 years i.e.40*12)

PMT=-200(monthly payment)

PV=0(starting balance is zero)

FV=1000000(the future value is $1,000,000)

CPT(press compute)

I/Y=0.768414778771834%(monthly rate of return)

annual rate of return=0.768414778771834%*12=9.22%

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2/(3x-5)

2/(3(9)-5)

1/11 :(

The division property of equality simply tells us that if we divide both sides of an equation by the same number, then the equation remains the same.

It should be noted that when the denominator of a fraction is equal to 1, and the numerator is nonzero, the value of the fraction is equal to the numerator of the fraction.

Fractions simply means, numbers that are not whole.

If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

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Answer:If the numerator is nonzero, and the denominator is 1; then the fraction has a value of the numerator.

Step-by-step explanation: