How do I simplify the polynomial then evaluate for x =2

Hexagonal implies that the traffic sign has six straight sides. But dilating it changes its length of sides, but not its angles. So that the statement that is true is option B.

i.e B. The dilated sign will have corresponding line segments that are proportional to those of the pre-image and corresponding angles that are congruent to that of the pre-image.

Dilation involves increasing or decreasing the line segments of a given shape by a scale factor. This process do not affect the measure of the internal angles of the shape.

Given a hexagonal traffic sign in the question, this implies that the traffic sign has six sides. Dilating it by a scale factor of 2.5 about its center would affect its length of sides. So that the statement that is true is option B.

i.e B. The dilated sign will have corresponding line segments that are proportional to those of the pre-image and corresponding angles that are congruent to that of the pre-image.

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Answer:

63 answers

Hope this helps :p

The total number of questions to be answered correctly so that 75% of answers are correct is 63.

∵ To pass the assessment, the percentage of questions to be answered correctly = 75.

That means, for every 100 questions, the number of correct answers required = 75

∴ For 1 question, the number of correct answers required= 75/100

                                                                                         =3/4

But, the total number of questions in the assessment = 84

∴ For 84 questions, the number of correct answers required = 3/4×84

                                                                                                     = 63

Hence, the total number of questions to be answered correctly so that 75% of answers are correct is 63.

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Answer:

Hope this helped

Step-by-step explanation:

9 x 1 + 3 x 1/10 + 4 x 1/1000

9+0.3+0.004

9.30400

Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

192 feet of fabric

Step-by-step explanation:

Since each curtain needs to be 36 inches long, or 3 feet long, the total length of fabric needed for one curtain is 3 feet. To make 64 curtains, Ivania's curtain company will need a total of:

3 feet/curtain x 64 curtains = 192 feet of fabric

The number of feet of fabric that Ivania needs to make the curtains is 192 feet.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

Ivania's curtain company is making curtains for a local hotel.

Length of each curtain needed = 36 inches

                                                    = 36/12 feet

                                                    = 3 feet

At the fabric store, fabric is sold by the foot.

Number of curtains needed to make = 64

We have to multiply the length of each curtain with the total number of curtains to find the total length of the curtain needed.

Feet needed = 64 × 3 feet = 192 feet

Hence the feet of curtains needed is 192 feet.

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Answer:

c

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

P1:40% P2:47500 P3:10%

Step-by-step explanation:

2/5 = 0.4 =40%

5/8= .625

.625 x 76000 =

47500

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

From the given data, the cost per pound of apple, CP=$1.89≈$2.

We have to estimate the cost of n=3.2≈3 pounds(lb) of apple.

The cost of n=3 lb of apple can be calculated as,

Therefore, the cost of 3. pounds of apples is about $6.048.

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x +  (30/4)y       =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

Answer:

790 is 100% you get 40% discount, the money you pay is: 790 time 40 divided by 100

To find out what percentage 25 is of 500, you can use the following formula:

percentage = (part / whole) x 100

In this case, 25 is the part and 500 is the whole. So, we can substitute these values into the formula:

percentage = (25 / 500) x 100

Simplifying the equation:

percentage = 0.05 x 100

percentage = 5%

Therefore, 25 is 5% of 500.

I hope it helps!

Answer:

5 % of 500 is 25

Step-by-step explanation:

500 * x% = 25

Divide each side by 500

x% = 25/500

x% = .05

Change to percent

x = 5

5 % of 500 is 25

A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

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Answer:

36-4-2x, she will have 8 rolls of toilet paper left over

Step-by-step explanation:

36=total-4= the four given away,2x= the number of rolls used per month. 36-4=32. 2(12) 1 year]= 24. 32-24=8

Answer:

cute scalene triangle.

Sides: a = 1   b = 2   c = 1.906

Area: T = 0.94

Perimeter: p = 4.906

Semiperimeter: s = 2.453

Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad

Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad

Angle ∠ C = γ = 70° = 1.222 rad

Height: ha = 1.879

Height: hb = 0.94

Height: hc = 0.986

Median: ma = 1.888

Median: mb = 1.147

Median: mc = 1.262

Inradius: r = 0.383

Circumradius: R = 1.014

Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]

Centroid: CG[0.691; 0.329]

Coordinates of the circumscribed circle: U[0.953; 0.347]

Coordinates of the inscribed circle: I[0.453; 0.383]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad

∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad

∠ C' = γ' = 110° = 1.222 rad

Step-by-step explanation:

Answer:

Step-by-step explanation:

273m

Answer:

yes

no

yes

no

hope this helps

Answer:

1. Yes

2. No

3.Yes

4.No

Step-by-step explanation:

I did the test and got it right!

The missing part of the question is highlighted in bold format

The Wall Street Journal reported that the age at first startup for 90% of entrepreneurs was 29 years of age or less and the age at first startup for 10% of entrepreneurs was 30 years of age or more.

Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is the sample proportion of entrepreneurs whose first startup was at 29 years of age or less. If required, round your answers to four decimal places. np = n(1-p) = E(p) = σ(p) = (b) Suppose a sample of 200 entrepreneurs will be taken to learn about the most important qualities of entrepreneurs. Show the sampling distribution of p where p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more. If required, round your answers to four decimal places.

Answer:

(a)

np = 180

n(1-p) = 20

E(p) = p = 0.9

σ(p) = 0.0212

(b)

np =  20

n(1 - p) = 180

E(p) = p = 0.1

σ(p) = 0.0212

Step-by-step explanation:

From the given information:

Let consider p to be the sample proportion of entrepreneurs whose first startup was at 29 years of age or less

So;

Given that :

p = 90%    i.e  p = 0.9

sample size n = 200

Then;

np = 200 × 0.9 = 180

n(1-p) = 200 ( 1 - 0.9)

= 200 (0.1)

= 20

Since np and n(1-p) are > 5 ; let assume that the data follows a normal distribution ;

Then:

The expected value of the sampling distribution of p =  E(p) = p = 0.9

Variance \(\sigma^2=\dfrac{p(1-p)}{n}\)

\(=\dfrac{0.9(1-0.9)}{200}\)

\(=\dfrac{0.9(0.1)}{200}\)

\(\mathbf{=4.5*10^{-4}}\)

The standard error of  σ(p) = \(\sqrt{\sigma ^2}\)

\(\mathbf{= \sqrt{4.5*10^{-4}}}\)

= 0.0212

(b)

Here ;

p is now the sample proportion of entrepreneurs whose first startup was at 30 years of age or more

p = 10%   i.e p = 0.1

sample size n = 200

Then;

np = 200 × 0.1 = 20

n(1 - p) = 200 (1 - 0.1 )  = 180

Since np and n(1-p) are > 5 ; let assume that the data follows a normal distribution ;

Then:

The Expected value of the sampling distribution of p = E(p) = p = 0.1

Variance \(\sigma^2=\dfrac{p(1-p)}{n}\)

\(=\dfrac{0.1(1-0.1)}{200}\)

\(=\dfrac{0.1(0.9)}{200}\)

\(\mathbf{=4.5*10^{-4}}\)

The standard error of  σ(p) = \(\sqrt{\sigma ^2}\)

\(\mathbf{= \sqrt{4.5*10^{-4}}}\)

= 0.0212

Answer:

\(-9 + (9 + 20 )/(3*5) - (-3) = -61/15\)

Step-by-step explanation:

Or in decimal form -4.0666666666

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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y intercept of the function f (x) = -2/9x + 1/3

is

\( \frac{1}{3} \)

OPTION C

The unit twenty-six point seven ounces in terms of milligrams is 756932.3  

To convert ounces (oz) to milligrams (mg), we can use the following conversion factor:

1 oz = 28,349.5 mg

Therefore, to convert 26.7 oz to mg, we can multiply 26.7 by the conversion factor as follows:

26.7 oz × 28,349.5 mg/oz = 756932.3  mg

So, there are approximately 756932.3 milligrams in 26.7 ounces of mass.

Comparing the calculated answer with the options given, we see that the answer is closest to 756,498.15 mg, which is not one of the options.

Therefore, we cannot choose any of the options given.

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Step-by-step explanation:

14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :

14/4 = 7/2

and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.

so, the mixed number is

3 1/2

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

The answer of the product of given matrix is [ 6  18]

Two crucial operations in linear algebra are scalar and matrix multiplication.

A scalar (a real integer) is multiplied by each entry of a matrix in a scalar multiplication operation. Let k be a scalar and A be a m by n matrix. The matrix produced by multiplying each entry of A by k is known as the scalar multiplication of A by k, or kA.

In order to create a new matrix, two matrices must be multiplied together. Assume that A is a m n matrix and that B is a n p matrix. The rows of A are multiplied by the columns of B to create the m p matrix known as the product of A and B, or ab.

According to question

We have row matrix multiplying a 2 × 2 matrix

[4 × -2 + 2 × 7 ] and [ 4 × 5 + 2 × -1 ]

[ -8 + 14 ] and [ 20 - 2]

[ 6  18]

So, the answer is [6  18]

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Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2  - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6

If you save RM1,000 at the end of each of the next 5 years in a savings account paying 6 percent compounded annually, the future value or the amount you will accumulate after 5 years is RM5,637.09.

The future value is the compounded present value of the periodic deposits.

The future value formula or FV table can determine the accumulated future value of periodic investments.

We can also use an online finance calculator to determine the future value.

N (# of periods) = 5 years

I/Y (Interest per year) = 6%

PV (Present Value) = RM0

PMT (Periodic Payment) = RM1,000

Results:

Future Value (FV) = RM5,637.09

Sum of all periodic payments = RM5,000(RM1,000 x 5)

Total Interest = RM637.09

Thus, in 5 years, you will have an accumulated future value of RM5,637.09 in the savings account.

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