If three times a number is at least four or more than eight times the number, which of the following is true? A-The number is at least negative four-fifths.

B- the number is at most four-fifths.

C-The number is at least four-fifths.

D-The number is at most negative four-fifths .

Answer:

the third one is the correct answer

By the synthetic division method, the polynomial x³ - 2x - 8 dividing by x - 2 will get a remainder -4.

Given the polynomial,

x³ - 2x - 8

dividing a polynomial by x - 2

Solution will be :

Coefficients are required for Synthetic Division.

As a result, the coefficients are :

1, 0, -2, -8

as well as we have x-2

2   1   0  -2   8

          2   4    4              

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

      1    2   2   -4

By synthetic division, the remainder is now -4.

Substituting  the polynomial in x = 2 the Remainder theorem yields the required remainder.

  = 2³ -2 x 2 - 8

  = 8 -4 -8

  = -4

Which is equivalent to synthetic division. Therefore the correct division is option B.

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Answer:

it's 4

Step-by-step explanation:

I hope it helps .....

Answer:

4

Step-by-step explanation:

2+2=4

I'll give a real world problem to help you understand. So pretend that you have 2 cookies on your plate and your sibling has 2 cookies on their plate too. If your siblings gives you their 2 cookies and you add them to your plate, how many cookies are on your plate now? There should now be 4 of them!

Does this help?

The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

#Lets just write x as the nunber you asked

x × 40/100 = 18

x = 18 : 40/100

x = 18 × 100/40

y = 1800/40

y = 45

Answer:

45

Step-by-step explanation:

take the unknown number as z

40%=40/100

40/100×z=18

2/5×z=18. (40/100=2/5)

z=18/2×5

z=45

Hope you've understood

A fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct

Two or more expressions with an Equal sign is called as Equation.

The given linear equation represents a relationship between the square footage (x) and the price (y) of houses in the neighborhood.

We can use this equation to estimate the fair price for the seller's house by plugging in the square footage (x) of the house and solving for y:

y = 0.074x + 50

y = 0.074(1800) + 50

y = 133.2 + 50

y = 183.68

Hence, a fair price for the seller's 1800 square foot house is $183.68 thousand, option B is correct

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The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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The value of f(-0.01) is approximately 0.99005.

To evaluate f(-0.01), we substitute -0.01 into the function f(x) = (1+x)^(1/x). Thus, we have f(-0.01) = (1+(-0.01))^(1/(-0.01)).

Using a calculator, we simplify this expression to f(-0.01) = 0.99005. Therefore, the value of f(-0.01) rounded to five decimal places is approximately 0.99005.

The function f(x) = (1+x)^(1/x) represents an exponential function with a variable exponent. In this case, we are evaluating the function at x = -0.01.

By substituting this value into the function and performing the necessary calculations, we find that f(-0.01) is approximately 0.99005. This means that when x is equal to -0.01, the function value is approximately 0.99005.

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Answer:

  1.9532×10⁻¹¹

Step-by-step explanation:

You want the product (3.8 × 10^-2)(5.14 × 10^-10) in scientific notation.

The product is computed in the usual way, making use of the rules of exponents.

  (3.8 × 10^-2)(5.14 × 10^-10) = (3.8×5.14) × (10^-2)(10^-10)

  = 19.532 × 10^(-2-10) = 19.532 × 10^-12

Moving a factor of 10 from the coefficient to the exponent gives ...

  = 1.9532×10^-11 . . . . . . final answer in scientific notation

__

Additional comment

Scientific notation has 1 digit to the left of the decimal point in the coefficient.

Here, we had to divide by 10 to put the coefficient decimal point in the right place. To keep the number at the same value, we had to increase the exponent of 10 by 1 from -12 to -11.

Your calculator can display the product in scientific notation for you, as can any spreadsheet.

Sometimes it is convenient to adjust the exponents before the multiplication. Here, you can see the product of the coefficients will be greater than 10, so will ultimately need to be divided by 10. One way to get there is rewriting the problem as (0.38×10^-1)(5.14×10^-10). This will give a product coefficient between 1 and 10 with an exponent of -11.

<95141404393>

Thus, the given recurring decimal 0.15 reduced in its simplest form as :

3/20.

A number whose decimal expression eventually becomes periodic is known as a repeating decimal, sometimes known as a recurring decimal.

The traditional symbol for the repeating part of a decimal expansion is a vinculum. The decimal period is the smallest group of digits that repeats in such a number.

For repeating decimals, dot notation is employed. The recurrence of a number is shown by the dot above it; for instance, 0.57 is equivalent to 0.5777777 and 2 7 is equal to 0.27272727.

The given  recurring decimal =  0.15.

Convert this decimal into fraction: 15 /100

Reducing the fraction: 3/20.

Thus,  the given recurring decimal 0.15 reduced in its simplest form as :

3/20.

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According to the information, the correct statement is the data distribution has gaps (option A).

The dot plot shows the number of packages mailed by the last 20 customers at a post office. The number line ranges from 0 to 10 and displays the frequency of each value with dots.

From the dot plot, we can see that there are 6 dots at the value 0, 4 dots at the value 1, 6 dots at the value 2, 1 dot at the value 5, 1 dot at the value 8, and 2 dots at the value 10.

Based on this information, we can make some observations about the data distribution:

The data are not symmetrical, as there are more dots on the left side of the plot than on the right side.

The data are not clustered at 5, as only 1 dot is located at that value.

The peak of the data is not at 10, as the highest frequency is at the value 2, which has 6 dots.

Therefore, the statement that best describes the data shown in the dot plot is that the data distribution has gaps.

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Answer:

52500

Step-by-step explanation:

first do 5*105 to get 525 then mutiply by 100 to get 52500

Answer:

3x

Step-by-step explanation:

39*x / 13

39/13 * x

3*x

3x

Answer:

3x

Step-by-step explanation:

We are given the expression:

39*x /13

We want to simplify this expression. It can be simplified because both the numerator (top number) and denominator (bottom number) can be evenly divided by 13.

(39*x /13) / (13/13)

(39x/13) / 1

3x / 1

When the denominator is 1, we can simply eliminate the denominator and leave the numerator as our answer.

3x

The expression 39*x/13 can be simplified to 3x

Answer:

P(B) = 0,35

Step-by-step explanation:

P(B) = P(A and B) divided by P(A)

Answer: 331,250

Step-by-step explanation: hope it helps

Answer:

the distance to the nearest foot from the base to the top of the tower is 184 feet .

Step-by-step explanation:

Answer:

Step-by-step explanation:

hey i got the answer straight from my teach but ony a and c if you have the answer to b let me know  :  ( A) To determine the mean absolute deviation, first calculate the mean. Find the sum of the values: 8 plus 6 plus 9 plus 6 plus 14 plus 9 plus 5 plus 7 equals 64. Then divide the sum by the number of values: 64 divided by 8 equals 8. The mean is 8.

Next, find the distance of each value from the mean :

|8-8|=0 |6-8|=2 |9-8|=1 |6-8|=2 |14-8|=6 |9-8|=1 |5-8|=3 |7-8|=1

0 plus 2 plus 1 plus 2 plus 6 plus 1 plus 3 plus 1 equals 16. Then divide the sum of absolute deviations by the number of data values: 16 divided by 8 equals 2. The MAD of the data is 2.

C.  Since the MAD for the vegetable plant data is so much higher than the MAD for the flower data, this indicates that the heights of the vegetable plants vary more than the heights of the flowers    ALSO do you go to k12

Answer:

you spent 5/23 of your money

Step-by-step explanation:

5/23- you can't simplify this fraction.

Answer:

answer would be E

Step-by-step explanation:

The percentage of women with weights that are within the limits is:

60.93%

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

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Answer: 2x + 12

Step-by-step explanation:

Let the cost of each sweater be x.

since she's buying 2, the total cost of the sweaters will be 2x.

Just tack on the + 12 at the end for the sunglasses :)

Answer:

Amount deposit each month = $365.26

Step-by-step explanation:

Given:

Amount deposit = $15,000

Rate = 6% = 6% / 12 = 0.005

Number of time = 3 x 12 = 36

Find:

Amount deposit each month

Computation:

Amount deposit each month = [(15,000) x 0.005]/[(1.005){(1.005)³⁶-1}]

Amount deposit each month = $365.26

The amount needed to be deposited each month is;

P ≈ $393.23

We are given;

APR = 6% = 0.06

Total accumulated amount; A = $15000

number of years; n = 3 years

To calculate the amount needed to be deposited each month, we will use the formula;

A = [P(1 + APR/12)¹²ⁿ - 1)] ÷ (APR/12)

Plugging in the relevant values gives;

15000 = [P(1 + (0.06/12))⁽¹²*³⁾ - 1] ÷ (0.06/12)

Rearrange to get;

[P(1 + (0.06/12))³⁶ - 1] = 15000 × 0.06/12

⇒ [P(1 + 0.005)³⁶ - 1] = 75

⇒ P(0.19073) = 75

⇒ P = 75/0.19073

⇒ P ≈ $393.23

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The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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Answer:

Step-by-step explanation:

The volume should be 9 to the second power times 4×3.14

Mass of an element = 310 grams

Percentage of the element that will decay in a minute = 5.7%

Quantity of the element that will decay in one minute :

\( = \frac{5.7 \times 310}{100} \)

\( = \frac{1767}{100} \)

\( = \tt17.67 \: grams\)

Thus, 17.67 grams of the element will decay every minute.

Quantity of element that will decay after nine minutes :

\( = 17.67 \times 9\)

\( =\tt 159.03 \: grams\)

Thus, 159.03 grams of the element will decay after 9 minutes.

Quantity of element that will remain after 9 minutes :

\( = 310 - 159.03\)

\( = \tt150.97 \: grams\)

Thus, 150.97 grams of the element will remain after nine minutes.

We can round off 150.97 to 151.00.

Therefore, 151.00 grams of the element will remain after 9 minutes.

The only  polynomial that can be factored using the binomial theorem is; D: 625x⁴ + 7500x³ + 33750x² + 67500x + 50,625

1) 25x² + 75x + 225

Let us factorize 25 out to get;

25(x² + 3x + 9)

This cannot be factored further to a perfect square.

2) 25x² + 300x + 225

Let us factorize 25 out to get;

25(x² + 12x + 9)

This cannot be factored further to a perfect square.

3)  625x⁴ + 1,875x³ + 5,625x² + 16,875x + 50,625

Let us factorize 25 out to get;

625(x⁴ + 3x³ + 9x² + 27x + 81)

This can be factored into a perfect square as;

625(x + 3)⁴

Using Pascals triangle in binomial theorem gives;

625(1(x⁴ * 3⁰) + 4(x³ * 3¹) + 6(x² * 3²) + 4(x¹ * 3³) + 1(3⁴))

= 625(x⁴ + 12x³ + 54x² + 108x + 81)

This does not tally with the given expression

4) 625x⁴ + 7500x³ + 33750x² + 67500x + 50,625

Let us factorize 25 out to get;

625(x⁴ + 12x³ + 54x² + 108x + 81)

This can be factored into a perfect square as;

625(x + 3)⁴

Using Pascals triangle in binomial theorem gives;

625(1(x⁴ * 3⁰) + 4(x³ * 3¹) + 6(x² * 3²) + 4(x¹ * 3³) + 1(3⁴))

= 625(x⁴ + 12x³ + 54x² + 108x + 81)

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