find the remainder when x³-2x²+4x-2 is divided by (x-1/2)​

Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.

career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.

Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.

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Answer:

visit the US. Bureau of Labor Statistics website to find information on both careers and the career section

Step-by-step explanation: well i know it right because i just answered it correct

Answer:

Step-by-step explanation:

Question 1:

Franco made 36 invitations and gave out 14. How many invitations does he have left?

Simple. Solve for the bottom:

That is the answer D.

Question 2:

Ebba gave out 36 invitations and still has 14 left. How many invitations does she have in all?

Complicated (a bit). Solve:

That is the answer C.

Using a calculator, it is found that the correlation coefficient for this data is given by:

B. -0.901.

To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:

r² = -0.901.

Which means that option B is correct.

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Answer:

5/8

Step-by-step explanation:

There are 8 sections, and 4 sections that are 1, and 1 pink section. So adding these up, we get 5/8.

Hope this helped! :)

Answer:

pi

Step-by-step explanation:

First solve the integral

[tex]\int\ {(1+ cos x} )\, dx[/tex]

[tex]\int\ {1} \, dx +\int\ {cos x} \, dx[/tex]

[tex]\int\ {1} \, dx = x[/tex] and [tex]\int\ {cos x} \, dx = sin x[/tex]

x + sin x

Now consider the limit from 0 to π

[tex]\lim_{0 \to \\pi } (x+sin x)[/tex]

(π +sin π) -(0 +sin 0)

sin π = 0 and sin 0 = 0

π-0

π

Answer:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi[/tex]

Remember your antiderivatives!

Answer:

x = 3.255 cm

Step-by-step explanation:

Given:

⇒ y = 10cm

⇒ θ = 19

To find:

⇒ Value of "n"

Solution

⇒ By Pythagoras theorem

⇒ Δ Sin θ = n/y

⇒ sin 19° = n/10

⇒ 0.3255 = n/10

⇒ n = 0.3255 × 10

⇒ n = 3.255 cm

Hence, the answer is = n = 3.255 cm.

Answer:

1/5

Step-by-step explanation:

solution [ calculation of probability ]

P= (3/3+6) × (6/3+6-1)

=3/9×6/10

=1/5

The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)

The rational equation is given as:

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]

Factorize the quadratic denominator

[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]

Write out the denominators

(x + 2), (x - 1) and (x -1)(x - 2)

Remove the repetition

(x + 2) (x -1)(x - 2)

Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)

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Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Solving

Answer:

arc BX = central angle BCX

inscribed BNX = 1/2 of central angle BCX

inscribed BNX = 1/2 of arc BX

Step-by-step explanation:

arc BX = central angle BCX

inscribed BNX = 1/2 of central angle BCX

inscribed BNX = 1/2 of arc BX

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

weight of bag = 90 grams

According to Question ,

weight of the bag increases by 15%

therefore ,

the new weight of bag ,

[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]

so ,

new weight = 90 + 13.5 kg

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎= 103.5 kg

hope helpful ~

Answer:

175000

Step-by-step explanation:

If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.

Answer:

A. How are GH and GI related?

B. Write an equation to solve for x.

C. Let's solve the equation...

GH : 2x

GI : x + 12

D. Now, that we solve for x, let's find the length of GH....

GH = 2x where, x = 12

Therefore, the length of GH is 24.

The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The expressions are 6/16 and 7/24.

Then the LCM of the 16 and 24 will be 48.

Then the expressions will be 18/48 and 14/48.

The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.

Thus, the correct option is A.

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Answer:

Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16

Step-by-step explanation:

Put u=17

Answer:

59.5.

Step-by-step explanation:

h = 3.5u

When u = 17,

h = 3.5*17

= 59.5

Answer:

41,257

Step-by-step explanation:

100,000

-

58,743

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

41,257

The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The annual fundraising goal of a college is $100,000.

Let x be the amount that is needed to reach the goal.

The linear equation in one variable can be framed as follows:

x + 58,743 = 100,000

x = 100,000 - 58,743

x = $41257

Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

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Answer:

C

Step-by-step explanation:

  x = 7 cos (2pi/3)            y =  7 sin (2pi/3)

  x = -7/2                          y = 7 sqrt(3) /2

Using geometric sequence concepts, it is found that:

a) The rule is: [tex]P_n = 750000(0.5)^{n-1}[/tex].

b) An exponential relationship exists between the two variables.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

[tex]a_1 = 750000, q = 0.5[/tex].

Hence the nth term of the sequence is given by:

[tex]P_n = 750000(0.5)^{n-1}[/tex]

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Answer:

in fractions

16/18 = 8/9

4/18 = 2/9

Answer:

8/9 and 2/9

Step-by-step explanation:

for 16/18

divide the numerator and denominator by 2 to option it's simplest form

16/18÷2/2 = 8/9

for 4/18

also divide the numerator and denominator by 2 to get the simplest form.

4/18 ÷2/2= 2/9

The smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.

The divisible rule of 9 and 5 are:

Two digits of the 6-digit number are missing.

[tex]X = 345 * 8*[/tex]

The smallest possible number from this is divisible by 45. The factors of 45 are 9 and 5.

[tex]45=9\times5[/tex]

Thus, the 6-digit number which is divisible by 45, must be divisible by 9 and 5.  

To be divisible with 5, the number has 0 or 5 in last. So the numbers can be,

[tex]X = 345 * 85\\X=345 * 80[/tex]

For first number, when the blank is filled with number 2 to make sum 9 and for second the blank number should be 7. Thus, the numbers,

[tex]X = 345 285\\X=3457 80[/tex]

Thus, the smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.

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All real numbers

1. f(x) = 2x

2. g(x) = 2x

Substitute g(x) to the 2x in the first statement.

You'll get: f(x) = g(x)

Therefore, x ∈ all real numbers (any value of x would make it a true statement)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

perimeter of a rectangle P= 2(L+W)

L= length

W= width

48=2(L+W)---------------(1)

twice the length= 2×L= 3L

decreased by three= 2L-3

three times the width= 3×W= 3W

twice the length decreased by three is equal to three times the width

2L-3= 3W-------------------(2)

solving equation one and two simultaneously

from equation (2)

3W= 2L-3

W=2L/3-3/3

W= 2L/3 - 1----------(3)

substitute equation (3) into equation (1)

48=2(L+2L/3-1)

48=2L+4L/3-2

48×3=6L+4L-6

144=10L-6

10L=144+6

10L=150

dividing bothsides by 10

L= 15

substitute L= 15 into equation (2)

2L-3=3W

2(15)-3=3W

30-3 = 3W

27= 3W

3W= 27

dividing bothsides sides 3

3W=27/3

W=9

Answer:

We are given the dimension of the side being 5 inches and it states that we need to determine the surface area.  The first step that we must do is find the area of one side and then we multiply it by 6 because we have 6 same sides.

[tex]A = s^2[/tex]

[tex]A = (5\ in)^2[/tex]

[tex]A = 25\ in^2[/tex]

Now that we have the area of one side we can multiply it by 6 to get the total surface area.

[tex]A = 25\ in^2 * 6[/tex]

[tex]A = 150\ in^2[/tex]

Therefore, our final answer is that the surface area is 150 inches squared

Hope this helps!

Answer:

150 square inches

Step-by-step explanation:

find the area of 1 square face

5*5=25

multiply by 6 faces

25*6=150

The experimental probability that a coin toss results in two heads showing is 3/14

The sample space of two coins is:

S = {HH, HT, TH, TT}

In the above sample space, we have:

The theoretical probability of two heads is calculated as:

P = n(HH)/Total

This gives

P = 1/4

Hence, the theoretical probability of two heads is 1/4

To do this, we make use of the table in the question

The table is given as:

Result                                  Frequency

Two heads (HH)                     30

Two tails  (TT)                        40

One head, one tail (HT)        70

Total                                     140

The experimental probability of two heads is calculated as:

P = n(HH)/Total

This gives

P = 30/140

Simplify

P = 3/14

Hence, the experimental probability of two heads is 3/14

Using the sample space in (a), we have:

The theoretical probability of two tails is calculated as:

P = n(TT)/Total

This gives

P = 1/4

Hence, the theoretical probability of two tails is 1/4

From the table in the question, we have:

Two tails  (TT)  =40

Total = 140

The experimental probability of two tails is calculated as:

P = n(TT)/Total

This gives

P = 40/140

Simplify

P = 2/7

Hence, the experimental probability of two tails is 2/7

Using the sample space in (a), we have:

The theoretical probability of one head and one tail is calculated as:

P = n(HT)/Total

This gives

P = 2/4

Simplify

P = 1/2

Hence, the theoretical probability of one head and one tail is 1/2

From the table in the question, we have:

One head one tail  (HT)  = 70

Total = 140

The experimental probability of one head one tail is calculated as:

P = n(HT)/Total

This gives

P = 70/140

Simplify

P = 1/2

Hence, the experimental probability of one head one tail is 1/2

The reason for the difference between the probability types is because one is as a result of an actual experiment, while the other is an estimate of the experiment.

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