(4x2 + 7x)(5x2 – 3x)
A. 2034 + 35x3 - 21x2
O B. 202A + 23x3 - 21x2
C. 20x4 + 23x2 - 21%
O D. 20A + 35x2 – 21x

Answer:

3. m<DEF = m<GHF                       |    3. all right <'s congruent

4. EF = FH                                       |   4.  given

5. <DFE = <GFH                             |   5.  verticle angles theorem

6. ΔDEF = ΔGHF                            |   6.  angle-side-angle

Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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Answer:

Erin's office will have recycled a total of 10 kg of paper in 9 weeks.

Step-by-step explanation:

First write out the formula for the total weight of paper recycled, and then solve this equation for time:

AmtRecycled(t) =  1 kg + (1 kg/wk)(t)

In this problem, AmtRecycled(t) = 10 kg, and so the following is true:

    10 kg              = 1 kg + (1 kg/wk)(t)

Then    9 kg = (1 kg/wk)(t)

and so:

   9 kg

------------- = 9 wk

1 kg/wk

Erin's office will have recycled a total of 10 kg of paper in 9 weeks.

Answer: Coordinates: (1,3) length RS: 3 length RT: 2 ST: 3.6

Step-by-step explanation:

a^2+b^2=c^2

3^2+2^2=c^2

9+4=c^2

13=c^2

3.6=c

Answer:

81.18 ft

Step-by-step explanation:

The angle of elevation from the end of the shadow to the top of the pole

is 29 degrees also

 tan 29 =  opposite / adjacent  = height / length

   tan29 = height / length

              =  45 / length

    45 / tan29  = length = 81.18 ft

Answer:

c

Step-by-step explanation:

edge 2020

Answer:

C. the phase shift

Step-by-step explanation:

edge 2020

Answer:

A. 7

Step-by-step explanation:

Answer:

04805

Step-by-step explanation:

0.48450 is right answer

Answer:

\(9 \frac{4}{5} \)

Step-by-step explanation:

\( \frac{7}{5} \times 7 = \frac{7}{5} \times \frac{7}{1} \)

\( \frac{7}{5} \times \frac{7}{1} = \frac{49}{5} = 9 \frac{4}{5} \)

Answer:

3(4+3^2)×8

Step-by-step explanation:

Evaluate the power

3(4+9)×8

Add the numbers 3×13×8

Calcuate the product and it will be 312

So the expression 3×(4+3^2)×8 are equivalent to 312

Hope this helpsʕ•ᴥ•ʔ

Answer:

0.815

Step-by-step explanation:

First, find the z-scores.

z = (x − μ) / σ

z₁ = (8 − 10) / 1

z₁ = -2

z₂ = (11 − 10) / 1

z₂ = 1

P(-2 < Z < 1) = P(Z < 1) − P(Z < -2)

Use a chart, calculator, or the empirical rule to find the probability.

Using the empirical rule:

P(-2 < Z < 1) = 0.84 − 0.025

P(-2 < Z < 1) = 0.815

Using a chart:

P(-2 < Z < 1) = 0.8413 − 0.0228

P(-2 < Z < 1) = 0.8185

The probability of selecting number will be "0.8185".

According to the question,

Z-score be:

→ \(z = \frac{x - \mu}{\sigma}\)

By substituting the values,

 \(z_1= \frac{8-10}{1}\)

      \(= -2\)

  \(z_2 = \frac{11-10}{1}\)

       \(= 1\)

By using the empirical rule,

→ \(P(-2 < Z<1) = P(Z<1)-P(Z<-2)\)

                            \(= 0.84-0.025\)

                            \(= 0.815\)  

By using chart,

→ \(P(-2 < Z < 1) = 0.8413-0.0228\)

                            \(= 0.8185\)

Thus the above response is correct.  

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Answer:

43.96

Step-by-step explanation:

Formula for Circumference is: C=2πr

C=2•3.14•7 7 is radius bc it's half of diameter

2•3.14= 6.28

6.28•7= 43.96

hope this helps chu babe <3

Answer:

1 hour

Step-by-step explanation:

Because 80 divided by 80 is 1

Answer:

18,223 feet

Step-by-step explanation:

y= -16t^2 + 608t + 12,447.

y = -16(t² - 38t) + 12447

y = -16[t² - 2(t)(19) + 19² - 19²] + 12447

y = -16(t - 19)² - 16(-19²) + 12447

y = -16(t - 19)² + 18223

Vertex: (19, 18223)

Max height is 18,223 at t = 19

The parabolas are:

a = -16

b = 608

c = 12,447

x_v = -b/2a

t_v = -608/2(-16)

t_v = -608/-32

t_v = 19

Plug in t_v = 19 to find y_v

y = -16(19)^2 + 608(19) + 12,447

y = -16(361) + 11,552 + 12,477

y = -5,776 + 11,552 + 12,477

y = 18,253

We have the point (19, 18,253)

The max height is at 18,253 when t = 19

Best of Luck!

Answer:

Step-by-step explanation:

y-x=0.7

y=x+0.7, so lets plug in that into the expressions instead of y

1)

(y-x)=

x+0.7-x=

x+0.7+(-x)=

x+(-x)+0.7=

x-x+0.7=

0.7

2)

(x-(x+0.7))/((x+0.7)-x)=

(x-x+0.7)/(x+0.7-x)=

(x-x+0.7)/(x+0.7+(-x))=

(x-x+0.7)/(x+0.7+(-x))=

(x-x+0.7)/(x+(-x)+0.7)=

(x-x+0.7)/(x-x+0.7)=

0.7/0.7=

1

Answer:

241 = f - 364

Step-by-step explanation:

Step-by-step explanation:

with $4,000 invested, Jake has

8% × $4,000 = $320 annually.

in order to have annual interest $628, he has to get more interest $(628-320) = $308.

the rate should be:

308/2800 × 100%

= 308 /2800 × 100%

= 11%

Answer:

11%

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Given:

To calculate the interest Jake will earn on his initial investment of $4,000 substitute the given values into the formula and solve for I:

\(\implies \sf I=4000(0.08)(1)=320\)

As he wants to have a total annual interest of $628, he must earn the following interest on his second investment:

\(\implies \sf 628-320=308\)

Given:

To calculate the interest rate for the $2,800 investment, substitute the given values into the formula and solve for r:

\(\implies \sf 308=2800(r)(1)\)

\(\implies \sf r=\dfrac{308}{2800}\)

\(\implies \sf r=0.11\)

\(\implies \sf r=11\%\)

Therefore, Jake must invest $2,800 at the rate of 11%.

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Sarah's speed in kilometers per minute is 0.6 kilometers per minute.

To convert the speed from miles per hour to kilometers per minute, we need to perform the following conversions:

1 mile = 1.60934 kilometers

1 hour = 60 minutes

We will convert miles per hour to kilometers per hour:

= 22.7 miles/hour * 1.60934 kilometers/mile

= 36.525918 kilometers/hour

We will convert kilometers per hour to kilometers per minute:

= 36.525918 kilometers/hour / 60 minutes/hour

= 0.60876697

= 0.6 kilometers/minute.

Full question:

Sarah is riding her bicycle at a speed of 22.7 miles per hour. What is Sarah's approximate speed, in kilometers per minute? justify your answer

(1) 0.2

(2) 0.6

(3) 36.5

(4) 36.6​.

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The item which is closest in size to one mole of gas at STP is C) A microwave

A mole is the quantity of matter contained in a body.

We know that at STP the volume of gas occupied by one mole of a gas at STP is 22.4 dm³.

Now, we have 4 items.

Let us assume that each item is a cube. Also, since 22.4 dm³ is the volume of the cube, its length is

L = ∛22.4 dm³

=  ∛(22.4 × 10³) cm³

= 28.2 cm

So, ithe item that is comparable to this length is the microwave.

So, the item is C. A microwave

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Answer:

x = 6.00 $/kg ----> almond

y = 3.5 $/kg ------> nut

Step-by-step explanation:

To find the price per kg of each product you first write the algebraic equations for the given relations:

x : price per kg of almond

y: price per kg of nut

Then, you have:

5x + 4y = 44.00      (1)

8x + 6y = 69.00     (2)

By using substitution you have from (1):

y = (44.00-5x)/(4) = 11.00 - (5/4)x

you replace this expression for y into (2):

8x+6[11.00-(5/4)x] = 69.00

8x+66.00-(15/2)x = 69.00

8x-(15/2)x = 69.00 - 66.00

(1/2)x = 3.00

x = 6.00 $/kg ----> almond

And for nut:

y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg

y = 3.5 $/kg ------> nut

3(2x - 4) = 6(x + 2)

The equation that has no solution is the one that leads to a contradiction, where the left side of the equation does not equal the right side regardless of the value of x.

Let's analyze the given equations:

Ix - 3r-4=4

Zx - 3r+4=4

3(2x - 4) = 6(x^2)

3(2x - 4) = 6(x + 2)

Upon evaluating these equations, it is evident that equation 3 is not possible because it simplifies to 6x - 12 = 6x^2, which is a quadratic equation. However, there is no value of x that satisfies this equation, leading to a contradiction. Therefore, the equation 3(2x - 4) = 6(x^2) has no solution.

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Answer:

Yes, 6 is greater then 0.06 and 0.006

Step-by-step explanation:

6 = 6.00

and both 0.06 and 0.006 are not even a whole number

Answer: Yes it is

Step-by-step explanation:

6>0.06 and 6 >0.006

Answer:

72.8

Step-by-step explanation:

The number of 6-card hands  in which at least one card from each suit is equal to 8,184,220.

Total number of 6-card hands that can be formed from a deck of 60 cards is,

Using combination formula,

C(60, 6) = 50,063,860

Now, subtract the number of 6-card hands that do not contain at least one card from each suit.

There are 5 ways to choose the suit that will be missing from the hand.

Once this suit is chosen, there are 48 cards remaining in the other suits.

Choose 6 cards from this set, so the number of 6-card hands that do not contain any cards from the chosen suit is,

C(48, 6) = 12,271,512

Overcounted the number of hands that are missing more than one suit.

There are C(5, 2) ways to choose 2 suits that will be missing from the hand.

Once these suits are chosen, there are 36 cards remaining in the other 3 suits.

Choose 6 cards from this set, so the number of 6-card hands that do not contain any cards from the chosen suits is,

C(36, 6) = 1,947,792

We cannot have a 6-card hand that is missing more than 2 suits.

3 suits with no cards in the hand, which is not allowed.

Number of 6-card hands that have at least one card from each suit is,

C(60, 6) - 5×C(48, 6) + C(5, 2)×C(36, 6)

=50,063,860 - 5×  12,271,512 + 10 × 1,947,792

= 50,063,860 -61,357,560 + 19,477,920

= 8,184,220

Therefore, there are 8,184,220 of 6-card hands that have at least one card from each suit.

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Answer:

IV

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

I used M&thWay

Answer:

1. Amount of commission =$3476

2.Gross pay = $4766

Step-by-step explanation:

commission =(11/100)×31,600

=$3476

Gross pay = 3476+1290

=$4766

Answer:

\(\sqrt{169}=13\)

\(13-5=8\)

Answer:

Again the domain consists of the pre-images and the range the images.

When we are looking for the f(x) we just look at the number it is pointing to in the range (when we have a diagram), and when we are looking for x when f(x)=y we look at the number that has a line pointed to y.

So the f(4)=

f(x)=4 when x is 8

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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