Cliff purchased a bag of Chester's Hot Fries. He looked at the Nutrition Facts Label and noticed there are 150 calories per serving and six
servings per bag. A serving size is about 33 Hot Fries. If Cliff were to eat 99 Hot Fries, how many calories would he consume?

Second choice.

Which is 1591.1 cm^2.

Answer:

a)

Step-by-step explanation:

\(\sqrt{315}\)  is approximately 17.8

17² = 289

18² = 324

315 is between 289 and 324

The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.

The number system is a way to represent or express numbers.

A decimal number is a widespread number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given square roots,√315

The value of √91 is 17.74823935

The whole number less than  17.74823935 is 17 and greater than  17.74823935 is 18.

Thus, 17 <  17.74823935< 18

Hence "The value of the square root of 315 is 17.74 thus the two consecutive whole numbers 17.74 lie in between will be 17 and 18.".

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The adjusted bank balance after reconciling is Br. 5,224.42.

To prepare the bank reconciliation, we have to analyze the differences between the bank statement balance and the company's ledger balance.

Details

Bank statement balance of Br. 4,964.47 at July 31.

Add: Deposit made after banking hours Br. 410.90

New balance: Br. 5,375.37.

Deduct Erroneously charged check of Br. 79

New balance Br. 5,296.37.

Deduct Outstanding checks:

Check No. 801 of Br. 100.00 (issued on June 15).

Check No. 888 of Br. 10.25 (issued on July 24).

Check No. 890 of Br. 294.50 (issued on July 27).

Check No. 891 of Br. 205.00 (issued on July 30).

Total outstanding checks: Br. 609.75.

New balance: Br. 4,686.62.

Deduct: Incorrectly charged amount of Br. 120.

Add: Correct amount of Br. 210.

Add: Proceeds from the collection Br. 500.

Add: Interest earned on the account balance  Br. 24.75.

Deduct: Returned check of Br. 10

Deduct: Fee charged by the bank for handling the collection Br. 5.00.

Deduct: Check from customer John Br. 50.25.

Deduct the service charge by the bank for the month of July of Br. 12.70.

New balance: Br. 5,224.42.

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Answer:

194.4

Step-by-step explanation:

V=l*w*h

V=12*4.5*3.6

V=194.4

Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

Answer:

Step-by-step explanation:

Least common denominator = a²b²

\(\frac{3}{a^{2}}+\frac{2}{ab^{2}}=\frac{3*b^{2}}{a^{2}*b^{2}}+\frac{2*a}{ab^{2}*a}\\\\=\frac{3b^{2}}{a^{2}b^{2}}+\frac{2a}{a^{2}b^{2}}\\\\=\frac{3b^{2}+2a}{a^{2}b^{2}}\)

Answer:

3/28

Step-by-step explanation:

There are 14 marbles in the bag.  So, the probability of choosing a blue marble is 7/14 or 1/2.  Since the first marble is replaced, the  bag still has 14 marbles in it.  Then the  probability of choosing a red marble is 3/14.  The probability of choosing the blue, then the red is 1/2 x 3/14 = 3/28

The predicted average score for persons taking a 47-hour review course is approximately 681.2

Given data points:

Review time (x1) = 30 hours, Score (y1) = 620

Review time (x2) = 70 hours, Score (y2) = 764

First, let's calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = (764 - 620) / (70 - 30)

m = 144 / 40

m = 3.6

Next, let's calculate the y-intercept (b) using the formula:

b = y - mx

Taking one of the data points (let's use (x1, y1) = (30, 620)):

b = 620 - 3.6 * 30

b = 620 - 108

b = 512

Now we have the slope (m = 3.6) and the y-intercept (b = 512), so the linear equation that fits this data is:

y = 3.6x + 512

To predict the average score for persons taking a 47-hour review course, we can substitute x = 47 into the equation:

y = 3.6 * 47 + 512

y = 169.2 + 512

y ≈ 681.2

Therefore, the predicted average score for persons taking a 47-hour review course is approximately 681.2 (rounded to the nearest tenth).

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The limit of the given function as x approaches 1 is 0.

To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:

1. Begin by substituting x = 1 into the numerator:

\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)

2. Now, substitute x = 1 into the denominator:

(1³ + 5)(1 - 1) = 6(0) = 0

3. Finally, divide the numerator by the denominator:

0/0

The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:

4. Take the derivative of the numerator:

\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)

5. Take the derivative of the denominator:

\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)

6. Substitute x = 1 into the derivatives:

Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)

Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6

7. Now, reevaluate the limit using the derivatives:

lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)

= 0 / 6

= 0

Therefore, the limit of the given function as x approaches 1 is 0.

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Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

Answer:

\(y=2.182\)

Step-by-step explanation:

Solve for y.

\(3.082=y+\frac{9}{10}\)

Move all terms not containing \(y\) to the right side of the equation.

\(y=3.082-\frac{9}{10}\)

Write \(\frac{9}{10}\) as a decimal.

\(y=3.082-0.9\)

\(y=2.182\)

C= 2πr

r= 10.3ft

π= 22/7

C= 2×22/7 × 10.3

C= 64.74 feet

Answer:

Circunference = 64.68 feet

Step-by-step explanation:

Circunference = 2п r

п = 3.14

r = radius

then:

circunference = 2*3.14*10.3

circunference = 64,684

round to two decimal places:

circunference = 64.68ft

Answer:

width = 64 inches

lenght = 76 inches

Step-by-step explanation:

2(x + 12) + 2x = 280

2x + 24 + 2x = 280

4x = 280 - 24

4x = 256

x = 256/4

x = 64

Answer:

the margin of error for this interval is 0.049

Step-by-step explanation:

The computation of the margin of error for this interval is shown below;

Given that

n = 400

x = 200

Now

p = x ÷ n = 200 ÷ 400 = 0.5

Now the margin of error is

= \(z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96 \times \sqrt{\frac{0.5 \times 0.5}{400} }\)

= 0.049

Hence the margin of error for this interval is 0.049

Answer:

The radius of the sphere is of 6.6 centimeters.

Step-by-step explanation:

Volume of an sphere:

The volume of an sphere of radius r is given by:

\(V = \frac{4\pi r^3}{3}\)

In this question:

\(V = 1203 \text{cm}^{3}\)

Replacing into the equation, we find the radius, in centimeters. So

\(V = \frac{4\pi r^3}{3}\)

\(1203 = \frac{4\pi r^3}{3}\)

\(r^3 = \frac{1203*3}{4\pi}\)

\(r = \sqrt[3]{\frac{1203*3}{4\pi}}\)

\(r = 6.6\)

The radius of the sphere is of 6.6 centimeters.

Answer: 0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Took the test

She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question as:

\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)

Divide the leading term of the dividend by the leading term of the divisor:

\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)

Write down the calculated result in the upper part of the table.

Multiply it by the divisor

\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

Thus, Jason made a mistake in multiplying 2x²+1 by -2x².

Hence, the correct answer would be option (B).

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The initial deposit needed for the account is given as follows:

$19,257.37.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for this problem are given as follows:

\(A = 22000, t = 3, r = 0.0447, n = 4\)

Hence the initial deposit P is obtained as follows:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(22000 = P\left(1 + \frac{0.0447}{4}\right)^{4 \times 3}\)

1.142657P = 22000

P = 22000/1.142657

P = $19,257.37.

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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The minimum distance from the giant pumpkin is 8.9 yards.

We will use the minimum distance formula between a line and a point to obtain the distance in this case.

A linear function is given according to the standard notation  by:

Ax+By+C=0

A point with 'x' and 'y' coordinates are given by:

P(x*,y*)

The formula to find the shortest distance between a point and a line is denoted by the formula:

d=|Ax*+By*+C|/√(A²+B²)

In this issue, the path's line includes:

When x = 0, and y = 0, the intercept is 0.

0.5 slope means that when x rises by 4, y rises by 2.

Thus, y=1/2x

-1/2x+y=0

or, -x+2y=0

The coefficients of the line are:

A=-1 and B=2

Coordinates of the giant pumpkin is (x*,y*)=(-4,-3)

Therefore, the minimum distance is:

d=|(-1)(-4)+2(-3)|/√5

or,d=2/√5

or, d=0.89 units

We know, 1 unit=10 yards

or, 0.89 units=8.9 yards

Thus, the minimum distance between a point and a line is 8.9 yards.

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Answer:

Step-by-step explanation:

4.61 gallons is the mean number of gallons of milk consumed last month​.

The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

The mean (also known as that of the arithmetic mean, which varies with respect to the geometric mean) of a data is calculated as the sum of all values divided by the total number of values. This indicator of the central tendency is usually referred to as the "average".

The total number of gallons of milk consumed is:

\((7 \times 3) + (9 \times 4) + (7 \times 7) \\= 21 + 36 + 49 = 106\)

The total number of families is \(7 + 9 + 7 = 23\)

Therefore, the mean number of gallons of milk consumed last month is:

\(106/23 = 4.61\) gallons

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Answer:

B

Step-by-step explanation:

14p and 3p have the same variable

Answer:

  372 miles

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  distance = speed × time

The vehicles are traveling in opposite directions, so their speed of separation is the sum of the individual vehicle speeds:

  separation speed = (65 mi/h) +(59 mi/h) = 124 mi/h

Then the separation distance after 3 hours is ...

  separation distance = separation speed × time

  = (124 mi/h)(3 h) = 372 mi

After 3 hours, the vehicles are 372 miles apart.

Answer:You should check the proposed solution in the original equation.

Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

The radical is the symbol that is used to represent the root in the expression n√x.

You have solved a radical equation. Now, to check whether your proposed solution is​ correct You should check the proposed solution in the original equation.

Hence, the correct option is C.

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Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer: The height of the water was 2 inches before any water was added.

Answer:

I need degrees and numbers to figure out the answers

\(\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_8(x)-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\implies \log_8(\stackrel{x }{5})-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\)