please help asap!!
What is the remainder in the synthetic division problem below

Answer:The answer is B

Step-by-step explanation:Because the exponent is 6 for Silver Town and 8 for Lake City

Answer:

Step-by-step explanation:

10^6=1000000

1000000x8.2

silver town 8200000

lake city 164000000

Answer:

[tex]P (M\ and\ C) = \frac{1}{4}=25\%[/tex]

Step-by-step explanation:

We call M the event in which a student gets an A in math and we call C the event in which a student gets an A in chemistry. As the events are not mutually exclusive, then.

[tex]P (M\ or\ C) = P (M) + P (C) - P (M\ and\ C)[/tex]

In this case we know that:

[tex]P (M\ or\ C) = \frac{7}{10}[/tex]

[tex]P (M) =\frac{17}{20}[/tex]

[tex]P (C) =\frac{1}{10}[/tex]

So

[tex]P (M\ and\ C) = P (M) + P (C) - P (M\ or\ C)[/tex]

[tex]P (M\ and\ C) = \frac{17}{20} + \frac{1}{10} -\frac{7}{10}[/tex]

[tex]P (M\ and\ C) = \frac{1}{4}[/tex]

Answer:

210

Step-by-step explanation:

There are calculators online that can help you with questions like this, and give you a step by step explaination to show the work

The Combination to elect four representatives out of 10 students is 210.

The correct option is (A).

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor.

Firstly, n=10 and r=4

Combination: C(n,r)=C(10,4)

                                 = [tex]\frac{10!}{4!(10-4)!}[/tex]

                                 = [tex]\frac{10!}{4!* 6!}[/tex]

                                 = [tex]\frac{10*9*8*7}{4*3*2*1}[/tex]

                                 = 210

and permutation: P(n,r)=P(10,4)

                                      = [tex]\frac{10!}{(10-4)!}[/tex]

                                      = 10*9*8*7

                                      = 5040

Hence, the combination of data is 210 and permutation is 5040.

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Answer:

YOU CAN HAVE 4 MORE HOURS WITH THE PHOTO BOOTH

Step-by-step explanation:

500 IS FOR 2 HOURS SHE DONT WANT TO WASTE MORE THAN 700 SO ITS 50 DOLLARS FOR ANOTHER HOUR

500 + 50 IS 550 THATS ONE HOUR ADDED 550+50 = 600 THATS 2 HOURS 600 + 50=650 THATS 3 HOURS 650+50= 700 SHE GOT IT FOR 4 HOURS IN TOTAL SHE HAD IT FOR 6 HOURS COUNTING THE 2 HOURS FOR IT AT THE PARTY . PERIODDT.....

Cindy can rent the photo booth for a maximum of 4 additional hours beyond the first two hours included in the base fee, given her budget of $700.

The student is asking how many additional hours Cindy can rent a photo booth for her party, given her budget constraints. Initially, there is a $500 fee for two hours, and each additional hour costs $50. Cindy has a budget of $700 in total, which means she can spend $200 on additional hours beyond the first two hours included in the base fee. To calculate the maximum number of additional hours, we divide the additional budget ($200) by the cost per additional hour ($50).

So, the calculation is
$200 / $50 = 4 additional hours.

Cindy can thus rent the photo booth for a maximum of 4 additional hours without exceeding her budget of $700.

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

we know that

In the right triangle of the problem

The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees (4 in) by the hypotenuse

Let

x ----> the hypotenuse

so

sin(80°)=4/x

isolate the variable x

x=4/sin(80°)

x=4.1 in

Answer:

B: 4.1 in.

Step-by-Step Explanation:

on edge! hope this helps!!~ （=´∇｀=）

ANSWER

C)5103.3735

EXPLANATION

The recursive definition of the given sequence is;

[tex]f(1) = a_1 = 6[/tex]

and

[tex]f(n) = a_n = (1.2) \times f(n - 1)[/tex]

The explicit definition is

[tex]f(n) = a_n =6 (1.2)^{n - 1} [/tex]

We substitute n=38 to obtain:

[tex]f(38) = a_ {38}= 6(1.2)^{37} [/tex]

[tex]f(38) = 5103.3735[/tex]

The correct choice is C.

Answer:

  (5x − 4)(x + 2)

Step-by-step explanation:

For the purpose, it is sufficient to make sure the middle terms match.

The middle term in the product of each of the answer choices is ...

  -1+40 ≠ 6

  -8+5 ≠ 6

  -4+10 = 6 . . . . . the third selection is the one you want

  -2+20 ≠ 6

Answer:  The correct option is (C) (5x − 4)(x + 2).

Step-by-step explanation:  We are given to determine the factors of the following quadratic expression :

[tex]E=5x^2+6x-8.[/tex]

To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.

The factorization is as follows :

[tex]E\\\\=5x^2+6x-8\\\\=5x^2+10x-4x-8\\\\=5x(x+2)-4(x+2)\\\\=(5x-4)(x+2).[/tex]

Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,

[tex]5x^2+6x-8=(5x-4)(x+2).[/tex]

Option (C) is CORRECT.

Answer:

7                x

------ = -----------

20         400

Step-by-step explanation:

We want a ratio of bass over the total in the pond

Adding the samples

(8+6)           14                 7

--------    = ------------ = ---------

(20+20)        40             20

Set this equal to a ratio of 400 total fish

Bass on top, total fish on bottom

7                x

------ = -----------

20         400

Answer:

a) the temperature is y = 16° C at 9 AM.

b) The probability of selecting 2 vowels at the same time is 2.8%

Step-by-step explanation:

a)

Temperature = y=?

Time = x = 9 A.M

The given equation is:

[tex]y = 19 + 6 sin (\frac{\pi }{12}(x-11))[/tex]

Putting x = 9 and solving

[tex]y = 19 + 6 sin (\frac{\pi }{12}(9-11))\\y = 19 + 6 sin (\frac{\pi }{12}(-2))\\y = 19 + 6 sin (\frac{-\pi }{6})\\y = 19 + 6(-0.5)\\y = 19 - 3\\y = 16[/tex]

So, the temperature is y = 16° C at 9 AM.

b)

WORD CLEMSON

Total Words = 7

Vowels = e, o = 2

Probability of selecting 2 vowels at the same time = P(2 Vowels) =?

We will use the formula of combinations nCr = n! / r! (n-r)!

As we are selecting three letter out of 7, the sample space will be 7C3

And

As there are only two vowels in the given word, and we have to find the probability of selecting two vowels so our event space will be 2C2.

P(2 Vowels) = 2C2 / 7C3

                    = 1/35

                    = 0.028 = 2.8%

So, The probability of selecting 2 vowels at the same time is 2.8%

The original price of the shirt must be $15 if a 20% discount resulted in the final price becoming $12

The original price of the shirt is $15.

Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.

Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.

Discount = Original price - Buying Price

Given,

Buying price of the shirt john bought = $12

Discount on shirt John bought = 20% of the original price

Let, the original price be x

then,

discount = 20% of x = 20x/100

Discount = Original price - Buying Price

20x/100 = x - $12

x = $12 + 20x/100

x = ($1200 + 20x)/100

100x = $1200 + 20x

80x =$1200

x = $1200/80

x = $15

Hence, the shirt cost $15 originally.

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Answer:

x = 5

Step-by-step explanation:

The line segment divides the sides in proportion, that is

[tex]\frac{14}{10}[/tex] = [tex]\frac{2x-3}{x}[/tex] ( cross- multiply )

10(2x - 3) = 14x ← distribute left side

20x - 30 = 14x ( subtract 14x from both sides )

6x - 30 = 0 ( add 30 to both sides )

6x = 30 ( divide both sides by 6 )

x = 5

Answer:

6X^2 -X -12

Step-by-step explanation:

(2X-3)(3X+4)

FOIL

first 2X*3X = 6X^2

outer 2X *4 = 8X

inner -3 *3X = -9x

last = -3 *4 =-12

Add them together = 6X^2 +8X -9X -12

                                 = 6X^2 -X -12

Answer:

6x^2 - x - 12

Step-by-step explanation:

2x(3x + 4) = 6x^2 + 8x

-3(3x + 4) = -9x - 12

6x^2 + 8x - 9x - 12

6x^2 - x - 12

ANSWER

x=24 , y=8√3

EXPLANATION

The given triangle is a right triangle

To find x, we use the cosine ratio, given by:

[tex] \cos(30 \degree) = \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos(30 \degree) = \frac{x}{16 \sqrt{3} } [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{x}{16 \sqrt{3} } [/tex]

Solve for x,

[tex]x = \frac{ \sqrt{3} }{2} \times 16 \sqrt{3} [/tex]

[tex]x = 8 \times 3 = 24[/tex]

To find the value of x, we use the sine ratio:

[tex] \sin(30 \degree) = \frac{opposite}{hypotenuse} [/tex]

[tex]\sin(30 \degree) = \frac{y}{16 \sqrt{3} } [/tex]

[tex] \frac{1}{2} = \frac{y}{16 \sqrt{3} } [/tex]

Solve for y to get,

[tex]y = \frac{1}{2} \times 16 \sqrt{3} [/tex]

[tex]y = 8 \sqrt{3} [/tex]

Answer:

k = 3

Step-by-step explanation:

The graph P(x) is a square root function. It has a vertex of (0,0) and has the following points:

x      f(x)

0       0

1         1

2       √2

3       √3

4       2

P(x) appears to be the function √x.

The image of l(x) changes the points of the function to

x      f(x)

0       0

1        3

2      3√2

3       3√3

4       6

You can divide the function values of l(x) by P(x).

3/1 = 3

6/2 = 3

The scale factor for the dilation is 3. k= 3.

Answer:

[tex]\sqrt{8^{2} + 3^{2} }[/tex]

Step-by-step explanation:

We see that this is a rectangle triangle, and that the ZY side is the hypotenuse.

It's length is then square root of the sum of the squares of the other sides:

[tex]hyp = \sqrt{a^{2} + b^{2} }[/tex]

So, in this case:

[tex]ZY = \sqrt{8^{2} + 3^{2} }[/tex]

The 8 and 3 numbers are easy to get from the graphic... and the order doesn't matter (8² + 3² = 3² + 8²).

That's an easy rule to remember.

I hope it helps.

Answer:

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

Step-by-step explanation:

ZY is the hypotenuse of triangle XZY.

The two shorter legs are;

YX=3 units

and

XZ=8 units.

According to the Pythagoras Theorem;

[tex]|ZY|^2=|XZ|^2+|YX|^2[/tex]

This implies that;

[tex]|ZY|^2=8^2+3^2[/tex]

We take the positive square root to obtain;

[tex]|ZY|=\sqrt{8^2+3^2}[/tex]

The second choice is correct

Using a t-distribution calculator, it is found that the confidence level is of 95%.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

In this problem, we have that t = 2.776, df = 5 - 1 = 4 for a two-tailed interval, hence looking at the t-table it is found that the confidence level is of 95%.

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Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Did the Quiz on Edge

Answer:

The approximate population of the state of California in 2010 was [tex]37,293,600\ people[/tex]

Step-by-step explanation:

Let

x----->the estimated population of Los Angeles in 2010

y----->the estimated population of the state of California in 2010

we know that

[tex]y=9.84x[/tex] ------> equation A

we have

[tex]x=3.79*10^{6}\ people[/tex]

Substitute the value of x in the equation A and solve for y

[tex]y=9.84(3.79*10^{6})=37.2936*10^{6}\ people[/tex]

[tex]37.2936*10^{6}=37,293,600\ people[/tex]

Answer:

3.73 × 10^7 people

Step-by-step explanation:

The original equation 3.79 × 10^6 = 3790000. 3790000× 9.84=37293600. 37293600 estimated is about 37300000. That would make 3.73 × 10^7 the expression that represents the amount of people in California.

Answer:

answer is C

Step-by-step explanation:

-Hello There-

A square is always a rhombus because it satisfies all the properties of rhombus but every rhombus cannot a square.

Therefore, If KLMN is a square, then it must be a rhombus.

Have A Fantastic Day

Be Safe,

TheBlueFox

Answer:

It must be a rhombus

Step-by-step explanation:

Answer:

Then, a=-1 and b=-1

Step-by-step explanation:

We need to solve the following system of equations using the adition method:

2a+3b=-1       (i)

3a+5b=-2      (ii)

First, we multiply the equation (i) by -3 and the equation (ii) by 2, so we get:

-6a-9b=3

6a+10b=-4

Adding the two equations we have:

-6a-9b=3

6a+10b=-4

--------------------------

 0  + b = -1

Then b=-1. Now, let's substitute the value of b into equation (i):

2a+3b=-1

2a + 3(-1) = -1

2a -3 = -1

2a = 2

a = 1

Then, a=-1 and b=-1

Answer:

a = 1 and b= -1

Step-by-step explanation:

It is given two equations,

2a + 3b = -1  and

3a + 5b = -2  

To find the solution of given equations

Let, 2a + 3b = -1   ----(1)

3a + 5b = -2   ------(2)

(1) * -3 ⇒

-6a - 9b = 3    ----(3)

(2) * 2 ⇒

6a + 10b = -4   -----(4)

(3) + (4 )⇒

-6a - 9b = 3    ----(3)

6a + 10b = -4   -----(4)

  0 + b  = -1

(1) ⇒ 2a + 3b = -1  

2a + (3 * -1) = -1

2a = -1 + 3 = 2

a = 2/2 =1

Therefore, a = 1 and b = -1

Answer: Area of shape which is 15 cm is 312.5 square cm.

Step-by-step explanation:

Since we have given that

Area of shape of 12 cm = 200 sq. cm

We need to find the area of shape of 15 cm.

As we know the "Area similarity theorem" which states that ratio of areas of two similar shapes is equal to the square of ratio of corresponding sides.

So, it becomes,

[tex]\dfrac{12^2}{15^2}=\dfrac{200}{x}\\\\\dfrac{144}{225}=\dfrac{200}{x}\\\\144x=200\times 225\\\\144x=45000\\\\x=\dfrac{45000}{144}\\\\x=312.5\ cm^2[/tex]

So, Area of shape which is 15 cm is 312.5 square cm.

The area of shape B which is of 15 [tex]\text{cm}[/tex], is 312.5 [tex]\text{cm}^2[/tex].

Given information:

The two shapes A and B are given

The dimensions of shape A is 12 [tex]\text{cm}[/tex]

The area of the shape A is 200 [tex]\text{cm}^2[/tex]

Now, we need to calculate the area of the shape of 15 [tex]\text{cm}[/tex]

As we know that area will be square of the given values in the question.

So, according to the question:

[tex]\frac{A^2}{B^2} =\frac{200}{x}[/tex]

[tex]\frac{12^2}{15^2} =\frac{200}{x}\\\\\frac{144}{225}=\frac{200}{x} \\\\x=(200\times 225)/144\\\\x=312.5 \text{cm}^2[/tex]

Hence, the area of shape B which is of 15 cm, is 312.5 [tex]\text{cm}^2[/tex].

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Answer:

If the question is asking for a solution for both, then only point (0,2)

Point (0,2) is a solution to both equations

Point (5,3) is a solution to neither (meaning not any of the equations)

Point (-2, 16) is not a solution to the first equation, but is to the second

Point (-4, -9) is a solution to the first, but not to the second.

Step-by-step explanation:

Using the Property of substitution. 7x-4y=8

(0,-2)

7(0)-4(-2)=8

7(0)=0

-4(-2)=8

0+8=8

This solution is true.

(5,3)

7(5)-4(3)=8

7(5)=35

-4(3)=-12

35-12=23 (not 8)

This solution is not true.

(-2,16)

7(-2)-4(16)=8

-14-64=-78 (not 8)

This solution is not true.

(-4,-9)

7(-4)-4(-9)=8

-28+36=8

This solution is true

__________________________________________________________

Y=-9x-2

(0,-2)

-2=-9(0)-2

-9(0)=0-2=-2

-2=-2

This solution is true

(5,3)

3=-9(5)-2

-45-2=-47

3=-47

This solution is not true

(-2,16)

16=-9(-2)-2

16=18-2

16=16

This solution is true.

(-4,-9)

-9=-9(-4)-2

-9=36-2

-9=34

This solution is not true.

Final answer:

By substituting the x and y values from each ordered pair into the two given equations, we can determine whether the ordered pairs (0,-2), (5,3), (-2,16), and (-4,-9) are solutions. An ordered pair is a solution if it satisfies both equations of the system.

Explanation:

To determine whether each ordered pair is a solution to the system of equations:

7x - 4y = 8

y = -9x - 2

We will substitute the x and y values from each ordered pair into both equations.

For the ordered pair (0,-2), substitute x = 0 and y = -2:

7(0) - 4(-2) = 8 satisfies the first equation, and -2 = -9(0) - 2 satisfies the second equation, so (0,-2) is a solution.

Repeating this process for the other ordered pairs, (5,3), (-2,16), and (-4,-9), will reveal whether they satisfy both equations.

If both equations are satisfied by a particular ordered pair, then that ordered pair is a solution to the system of equations.

Answer:

Im not 100% sure but i can tell you it is (D)

Step-by-step explanation:

Answer:

15 or 16 times

Step-by-step explanation:

The ball will land on 6 or 29 about 14 times.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

There are 2 slots that have a "6" or a "29" on them. The other 36 slots have different numbers.

The probability of landing on "6" or "29"

= 2/38

= 1/19

Now, Multiply this probability by the number of trials to get

= 266 x (1/19)

= 14

Hence, we expect the ball will land on 6 or 29 about 14 times.

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Answer:

Average = 16, standard deviation =

Step-by-step explanation:

15+12=27

27+(17+14)+22=27+31+22=80

80/5=16

Distance from 22 to 16=6, from 12 to 16=4, so deviation = 5

Answer:

Average yield per plant is 16 and standard deviation is 3.4058.

Step-by-step explanation:

Given : A homeowner has 5 zucchini plants in her garden.

Plant 1 2 3 4 5

Yield 15 12    17 14 22  

Average : [tex]\frac{\text {Sum of all yields}}{\text{Total no. of plants}}[/tex]

Average : [tex]\frac{15+12+17+14+22}{5}[/tex]

Average : [tex]16[/tex]

Standard deviation =[tex]\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}[/tex]

                               =[tex]\sqrt{\frac{(15-16)^2+(12-16)^2+(17-16)^2+(14-16)^2+(22-16)^2}{5}[/tex]

                               =[tex]3.4058[/tex]

Hence average yield per plant is 16 and standard deviation is 3.4058.

Answer:

  8.284 × 10^4 m^2

Step-by-step explanation:

The area is the product of length and width:

  (5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2

Answer:

Option D. -0.901

Step-by-step explanation:

we know that

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. The value of r is always between +1 and –1

Using a Excel tool (Correl function)

The value of coefficient r is -0.9006876

Round to three decimal places

r=-0.901

see the table attached

Answer:

h/g

Step-by-step explanation:

we know that

The cotangent of angle G is equal to divide the adjacent side angle G to the opposite side angle G

so

cot(G)=h/g

Answer:

t= $ 6.75 cost for table

c= $ 1.50 chair cost

Step-by-step explanation:

Answer:

chair 2.50

table 8.50

Step-by-step explanation: