What is the value of a2+c•(2+b)

when a =3 , b=6 and c=5

Answer:

C

Step-by-step explanation:

Given

V = πr²h

Rounding to the nearest whole number gives

π ≈ 3

r ≈ 4

h ≈ 6

Then

V = 3 × 4² × 6 = 3 × 16 × 6 = 288 in³

Apologies, but your questions seem to have errors and incomplete information.

For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.

For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.

Please provide complete and accurate information for a precise answer.

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

For this question, you can use the simultaneous equation to solve this problem.

Equation 1 reads: x + y = 34. (There are 34 notes in total.)

Equation 2: 5x + 10y = 235 (The notes are worth a total of $235.)

To find x in terms of y, we can apply equation 1:

x = 34 - y

When we use this expression to replace x in equation 2, we obtain:

5(34 - y) + 10y = 235

By condensing and figuring out y, we get at:

y = 15

There are 15 $10 bills in the wallet as a result.

Answer:6.25

Step-by-step explanation:

Answer: Add a graph and I'll answer it.

The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.  

To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.

The factor corresponding to x = 3 is (x - 3).

The factor corresponding to x = -4 is (x + 4).

The factor corresponding to x = 5 is (x - 5).

To obtain the polynomial, we multiply these factors together:

P(x) = (x - 3)(x + 4)(x - 5)

Expanding this expression gives us:

\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)

\(= (x^2 + x - 12)(x - 5)\)

\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)

\(= x^3 - 4x^2 - 17x + 60\).

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Answer: 255 sq meters

Step-by-step explanation:

C = 2(pi)r

C=Circumference=20 Meters

Pi = 3.14 and r is the radius

So, 20=3.14*r

r=20/3.14=6.36942675

Area = 2(pi)r^2

2*3.14*(6.36942675)^2

254.77707

Round to nearest whole number

A=255 sq meters

Answer:

A flower garden is the shape of a circle. The circumference of the garden is 20 meters. What is the area of the garden. Use 3.14 for pie and round your answer to the nearest whole number.

Step-by-step explanation:

The probability the child arranges the blocks in such a way that block f is in either the first position or the last position is found to be 1/3.

The child under observation of the researcher is given 6 unequally labelled block that are number as, a, b, c, d, e and f.

Now, the total number ways in which the child can arrange these block is,

Total possible ways = 6 x 5 x 4 x 3 x 2 x 1

Total possible ways = 720

Now, if the position of the block labelled f is fixed at either 1st or the last position then, total such ways are,

= 2 x 5 x 4 x 3 x 2 x 1

= 240

So, the probability that the child arranges the blocks in such a way that block f is in either the 1st position or the last position,

P = 240/720

P = 1/3

So, the probability is found to be 1/3.

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Answer:

D

Step-by-step explanation:

Y2-Y1/x2-x-1

Answer:

D

Step-by-step explanation:

Formula for slope is (y2-y1)/(x2-x1).

(1-(-3))/(1-(-2)) = 4/3

Answer:

Step-by-step explanation:

Let's use algebra to solve this problem.

Let n be the number of nickels, d be the number of dimes, and q be the number of quarters. We know that:

n + d + q = 25 (equation 1) (the total number of coins is 25)

0.05n + 0.1d + 0.25q = 3.20 (equation 2) (the total value is $3.20)

We also know that the number of dimes exceeds the number of nickels by 4, so:

d = n + 4 (equation 3)

Now we can substitute equation 3 into equation 1 to get:

n + (n + 4) + q = 25

Simplifying this equation, we get:

2n + q = 21 (equation 4)

We can now use equation 4 to eliminate q from equation 2:

0.05n + 0.1d + 0.25q = 3.20

0.05n + 0.1(n+4) + 0.25(21-2n) = 3.20

0.15n + 5.2 = 3.20 + 5.25

0.15n = 0.05

n = 1/3

This doesn't give us a whole number for n, so we made a mistake somewhere. Let's go back and check our equations.

We can see that equation 3 is incorrect. If d = n + 4, then the number of coins would be:

n + (n + 4) + q = 2n + q + 4

This doesn't match the total number of coins given in equation 1. So we need to fix equation 3 to:

d = n - 4 (equation 3')

Now we can substitute equation 3' into equation 1 and get:

n + (n - 4) + q = 25

Simplifying this equation, we get:

2n + q = 29 (equation 4')

We can now use equation 4' to eliminate q from equation 2:

0.05n + 0.1d + 0.25q = 3.20

0.05n + 0.1(n-4) + 0.25(29-2n) = 3.20

0.05n - 0.4 + 7.25 - 0.5n = 3.20

-0.45n = -4.45

n = 9.89

Again, we don't get a whole number for n. This suggests that there may be an error in the problem statement itself. Let's check the value of q using equation 4':

2n + q = 29

2(9) + q = 29

q = 11

Now we can use equations 3' and 1 to find the value of d:

d = n - 4

d = 9 - 4

d = 5

So Rose has 9 nickels, 5 dimes, and 11 quarters.

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

If you are using a calculator, simply enter 75÷100×780 which will give you 585 as the answer.

Answer:

140.00

Step-by-step explanation:

(45x4) + (40x3)+(25x5)+(3x15) = 2100 (the amount they all had )

the amount they had ÷ the number of ppl

= 2100÷15

= 140.00

Answer:

6x sec2 (x2+5) the number to are in the top of x a c.

Answer: undefined; vertical line

Step-by-step explanation:

To find the slope, you use the formula \(m=\frac{y_2-y_1}{x_2-x_1}\).

\(m=\frac{1-(-7)}{6-6} =\frac{8}{0}\)

The slope is undefined because you cannot divide anything by 0.

The graph of the line is a vertical line at x=6. We know this because the points are both at x=6, with different y-values.

The exponential growth formula is 3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet is  63.16 years.

The exponential growth formula usually has this form:

FV = P (1 + r)^n

3,400,000 x (1.09^t).

The year in which the grove would reach one billion board feet  = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years

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Answer:

C)  6 inches

Step-by-step explanation:

(√72)² = x² + x²

72 = 2x²

72/2 = x²

36 = x²

√36 = √x²

6 = x

x = 6 inches

Answer:

By Pythagoras theorem, we get

\( {x}^{2} + {x}^{2} = {( \sqrt{72}) }^{2} \\ 2 {x}^{2} = 72 \\ {x}^{2} = 36 \\ \boxed{x = 6}\)

Answer:

the answer is Monomial I hope this helps

Answer:

Monomial - an expression that consist of 1 term

Step-by-step explanation:

Bi - two

Binomial - an expression consisting of two terms

Tri - three

Trinomial - an expression consisting of three terms

Answer: X+Y+5

Step-by-step explanation:

There is no single answer you have to write an equation.

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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if a karaoke machine regularly costs $178 and is on sale for 15% off then the discount is $26.70.

percentage, a relative value indicating hundredth parts of any quantity.

Given that  karaoke machine regularly costs $178 and is on sale for 15% off.

To calculate the discount, we need to find 15% of the original price:

Discount = 15% of $178

Discount = 0.15 x $178

Discount = $26.70

Therefore, the discount is $26.70.

Hence, if a karaoke machine regularly costs $178 and is on sale for 15% off then the discount is $26.70.

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Answer:

5.4 = 7.56

1.5 = 2.1

Step-by-step explanation:

Just find the answer for 40% of the given meters.

Answer:

63

Step-by-step explanation:

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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The length of FG is approximately 15.3 cm.

To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.

According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

\(FG^2 = GH^2 + FH^2\)

Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:

\(x^2 = 8^2 + 13^2\)

\(x^2 = 64 + 169\)

\(x^2\) = 233

To find x, we take the square root of both sides:

x = √233 ≈ 15.26 cm (rounded to 1 decimal place)

Therefore, the length of FG is approximately 15.3 cm.

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Answer:

csd zxsd

Step-by-step explanation:

Given:

AB=40 mm

BC=20 mm

AC=27 mm

The objective is to dilate triangle ABD with a scale factor of 2, using A as the centre.

Since, if A is used as center, then the remaining sides will get reduced by a factor of 2.

If AB=40mm,

Similarly if BC=20 mm

And if AC=27 mm

If we construct the dilated triangle AB'C',

Hence, the required dilated triangle AB'C' has been obtained.

The behavior of the function f(x) describes the direction of the function

The behavior of the function is as x -> ∞, f(x) -> 4 and x -> -∞, f(x) -> 4

The function is given as:

f(x)= 8x+1/2x-9

Start by plotting the graph of the function f(x).

From the graph (see attachment), we have the following highlights:

Hence, the behavior of the function is as x -> ∞, f(x) -> 4 and x -> -∞, f(x) -> 4

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