A shop charges `\$1.95` for a small `3`-ounce soft serve. 



What is the cost per ounce of soft serve?

Answer:

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Step-by-step explanation:

Answer:

im answering so other guy gets brainliest

Step-by-step explanation:

Answer:

yo no hablo

Step-by-step explanation:

The factοrs οf the expressiοn is 4x(2xy+3y-4z).

Tο factοrise an algebraic statement, we first identify the terms' highest cοmmοn factοrs and then arrange the terms intο grοups in accοrdance with thοse grοups. In plain English, factοrizatiοn is the prοcess thrοugh which an algebraic expressiοn gets expanded in the οppοsite directiοn.

Here the given expressiοn is ,

=> \(8x^2y+12xy-16xz\)

Nοw factοrizing the given expressiοn then,

=> 4×2×x×x×y+4×3×x×y-4×4×x×z

=> 4x(2xy+3y-4z)

Hence the factοrs οf the expressiοn is 4x(2xy+3y-4z).

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Answer:

Volume of cylinder = 250πm³

Step-by-step explanation:

Given:

Height h = 10 m

Radius r = 5 m

Find:

Volume

Computation:

Volume of cylinder = πr²h

Volume of cylinder = π(5)²(10)

Volume of cylinder = 250πm³

Answer:

Absolutely convergent

Step-by-step explanation:

∑ₙ₌₁°° n! / (nⁿ)

Using ratio test:

L = lim(n→∞)│aₙ₊₁ / aₙ│

L = lim(n→∞)│[(n+1)! / (n+1)ⁿ⁺¹] / [n! / (nⁿ)]│

Change division to multiplication of the reciprocal:

L = lim(n→∞)│[(n+1)! / (n+1)ⁿ⁺¹] × [nⁿ / n!]│

Rearrange the numerators and denominators:

L = lim(n→∞)│[(n+1)! / n!] × [nⁿ / (n+1)ⁿ⁺¹]│

The next step is to simplify the factorials.  Remember:

n! = n × n−1 × n−2 × n−3 ... × 3 × 2 × 1

(n+1)! = n+1 × n × n−1 × n−2 × n−3 ... × 3 × 2 × 1

(n+1)! = (n+1) n!

L = lim(n→∞)│[(n+1) n! / n!] × [nⁿ / (n+1)ⁿ⁺¹]│

L = lim(n→∞)│(n+1) × [nⁿ / (n+1)ⁿ⁺¹]│

L = lim(n→∞)│nⁿ / (n+1)ⁿ│

L = lim(n→∞)│(n / (n+1))ⁿ│

L = lim(n→∞)│(n+1) / n)⁻ⁿ│

L = lim(n→∞)│(1 + 1/n)⁻ⁿ│

To evaluate this, we need to use natural log.

ln L = lim(n→∞) ln│(1 + 1/n)⁻ⁿ│

ln L = lim(n→∞) -n ln│1 + 1/n│

ln L = lim(n→∞) ln│1 + 1/n│/ (-1/n)

Apply L'Hopital's rule:

ln L = lim(n→∞) 1 / (1 + 1/n) (-1/n²) / (1/n²)

ln L = lim(n→∞) -1 / (1 + 1/n)

ln L = -1

L = e⁻¹

L < 1

The limit is less than 1, so the series converges.

Since the series is always positive, the absolute value of the series is the same as the series.  Therefore, it also converges.  So the series is absolutely convergent.

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:a

Step-by-step explanation:

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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Answer:

8 class tickets is the correct answer

Answer:

a = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8a - 15 - 6a + 3a = 85

Step 2: Solve for a

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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Answer:

  (c)  slope: -12, y-intercept: 7

Step-by-step explanation:

The given equation is in the slope-intercept form:

  y = mx +b

In this form, m is the slope, and b is the y-intercept.

__

Comparing the given equation to the form, we see ...

  y = mx +b

  y = -12x +7   ⇒   m = -12, b = 7

The slope is -12; the y-intercept is 7.

Answer:

C.

Step-by-step explanation:

He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.

7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions

via. google

Hope this helps dude

Tom can get 2 and 3 over 16 (\(2\frac{3}{16}\)) pounds of honey if he divides 7 over 8 (\(\frac{7}{8}\)) pound of honey into 2 over 5 (\(\frac{2}{5}\)) pound portions: Option C.

Given the following data:

To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:

Translating the word sentence into an algebraic expression, we have;

7 over 8 divided by 2 over 5:

\(\frac{7}{8}\; \div \; \frac{2}{5}\)

Applying the basic law of division for fractions, we have:

\(Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}\)

Simplifying further, we have:

\(Quotient =\frac{35}{16} = 2\frac{3}{16}\)

Therefore, Tom can get 2 and 3 over 16 (\(2\frac{3}{16}\)) pounds of honey if he divides 7 over 8 (\(\frac{7}{8}\)) pound of honey into 2 over 5 (\(\frac{2}{5}\)) pound portions.

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Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

Answer:

1.25a+4.4

Step-by-step explanation:

First add the variables (in this case the only variable is a) so it would be 1.5a+0.25-0.5a = 1.25a.

Then add the non variable numbers together which would be 4.7-0.3 = 4.4.

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

Answer:

1/15 cubic meters

Step-by-step explanation:

Formula for volume of a rectangular prism is width times length times height.

1/4 x 1/3 x 4/5 = 1/15

1/12 EZ I think that's the answer

Answer:

• mean = 61

• mode = 50

• median = 57.5

Step-by-step explanation:

• The mean is calculated by adding all the values together, and dividing the result by the number of values.

∴ mean =  \(\frac{60 + 50 + 50 + 70 + 40 + 80 + 65 + 55 + 50 + 90}{10}\)

⇒ mean = \(\frac{610}{10}\)

⇒ mean = 61

• The mode of a set of values is the value that is the most common (has highest frequency) among them.

50 is the most common value.

∴ mode = 50

• The median is the middle-value of a set of ordered values.

∴ We have to first rearrange the set:

⇒  40, 50, 50, 50, 55, 60, 65, 70, 80, 90

Now we need to find the middlemost value:

Since we have 10 values, which is an even number, we have to use the formula:

median = \(\frac{(n/2)^{th} \space\ term \space\ + \space\ [(n/2) + 1]^{th} \space\ term }{2}\)

where n is the number of values.

∴ median =  \(\frac{(10/2)^{th} \space\ term \space\ + \space\ [(10/2) + 1]^{th} \space\ term }{2}\)

⇒ median =  \(\frac{5^{th} \space\ term \space\ + \space\ 6^{th} \space\ term }{2}\)

The 5th and 6th terms in our ordered series are 55 and 60 respectively.

∴ median = \(\frac{55 + 60}{2}\)

⇒ median = 57.5

Answer:

5 over 12

Step-by-step explanation:

Answer:

304.7

Step-by-step explanation:

Divide 914 by 3 to get 204.66 repeated, to the nearest tenth is 304.7

hope this helps

The largest ratio, among the following ratios: 5/36, 2:9, 3 to 18, 1:3 is 1:3.

The ratio refers to the relative size of one quantity compared to another.

The ratio, which is the quotient of two quantities or values, can be expressed as a decimal, percentage, or fraction.  We can also express the ratio in its standard form (:).

Given   Sum of     Equivalent

Ratio     Ratios          Ratios

5/36        36         13.89% or 0.1389

2:9           11          18.18% or 0.1818

3 to 18     21          14.28% or 0.14.28

1:3            4           25% or 0.25

Thus, we can conclude that 1:3 is the largest ratio amont the others.

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Answer:

90

Step-by-step explanation:

18 out of 30 watched tv

150/30 = 5

18/30 = (18 * 5)/(30 * 5) = 90/150

Answer: 90

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The length of the base of the triangle is 8 yards whose height is half of 28 yards.

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

The following formula provides the area of a triangle:

Area = (1/2) x base x height

We are given that the height of the triangle is half of 28 yards, which is:

height = 1/2 x 28 = 14 yards

We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:

56 = (1/2) x base x 14

Simplifying this equation, we get:

56 = 7 x base

Dividing both sides by 7, we get:

base = 8

Therefore, the length of the base of the triangle is 8 yards.

The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

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Answer:

I think you can go with:

The margin of error is equal to half the width of the entire confidence interval.

so  try .74 ± \(\frac{.032}{2}\)  =   [ .724 , .756] as the confidence interval

Step-by-step explanation: