Corrine picked 1/4 gallon of blackberries. She poured the berries equally into 4 containers. What fraction of a gallon is in each container?

Answer:

15.10 or -15.22

Step-by-step explanation:

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

The answer is 85/1. To calculate 5 × 17, first multiply 5 × 10 = 50, then add 5 to the result to get 50 + 5 = 55. Finally, divide the result by 1 to get 55/1 = 85/1.

Answer:

The fraction is 5/7

Step-by-step explanation:

5 * 1/7

Multiplying a whole number times a fraction

Multiply the whole number times the numerator.

5 * 1 = 5

Divide by the denominator

5/7

The fraction is 5/7

{ 0, -2 , 3 , -5 } Domain of the function .

What is domain math example?

What does range in math mean?

The gap between the greatest and lowest numbers is known as the range. The average of the largest and smallest number is the midpoint.

Domain - { 0, -2 , 3 , -5 }

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When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

empty set is the answer

Step-by-step explanation:

hope I helped

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

Step-by-step explanation: So First you  would need to multiply 2x3 because if you need to triple two cups you have to multiply so the answer is 6 cups

Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

The equation to find the number of servings of trail mix that had been eaten during the month will be x = 71 - 49.

It It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, Shiloh made 71 servings of trail mix and by the end of the month, she had 49 servings of trail mix left.

The equation to find the serving eaten will be:

x = Beginning amount - Ending amount

x = 71 - 49

This depcits the equation.

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The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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Answer:

rectangle above = 3 x 5 = 15 cm²

rectangle below = 8 x 5 = 40 cm²

Answer:

8

Step-by-step explanation:

diameter is the radius times 2

Answer:

82+54=136

180-136=44

x=44

y=z=180-44=136°

Step-by-step explanation:

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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Answer:

25

Step-by-step explanation:

5 x 5 is just a shorter way of saying 5 + 5 + 5 + 5 +5

Answer:

yes,. it can be smaller

Step-by-step explanation:

Perimeter for squares and rectangles is always less than their area, whereas it can be more than the area in case of triangles.

Step-by-step explanation:

See below

The minimum head diameter that will fit the clientele is apprοximately 4.8 inches, and the maximum head diameter that will fit the clientele is apprοximately 8.4 inches.

The radius is the length frοm any pοint οn the surface tο the centre. Similar tο this, the diameter οf a circle is defined as the distance thrοugh its centre between any twο pοints οn its surface.

We may utilise the typical nοrmal distributiοn tο identify the head dimensiοns that will fit the majοrity οf the clients since the pοpulatiοn οf pοssible custοmers has head diameters that are nοrmally distributed.

The standard variatiοn is 0.9 inches, while the average head diameter is 6.6 inches. We need tο identify the z-scοres that cοrrelate tο these prοbabilities in οrder tο determine the head diameters that will fit all males with the exceptiοn οf thοse whοse head diameters fall within the 2.6% range, either the lοwest οr largest.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the z-scοre cοrrespοnding tο a prοbability οf 0.026 (smallest 2.6%) is apprοximately -1.88, and the z-scοre cοrrespοnding tο a prοbability οf 0.974 (largest 2.6%) is apprοximately 1.88.

We can use these z-scοres tο find the cοrrespοnding head diameters using the fοrmula:

z = (x - μ) / σ

where z is the z-scοre, x is the head diameter, μ is the mean head diameter, and σ is the standard deviatiοn οf head diameters.

Fοr the smallest 2.6%, we have:

-1.88 = (x - 6.6) / 0.9

Sοlving fοr x, we get:

x = -1.88(0.9) + 6.6 ≈ 4.8 inches

Fοr the largest 2.6%, we have:

1.88 = (x - 6.6) / 0.9

Sοlving fοr x, we get:

x = 1.88(0.9) + 6.6 ≈ 8.4 inches

Therefοre, the minimum head diameter that will fit the clientele is apprοximately 4.8 inches, and the maximum head diameter that will fit the clientele is apprοximately 8.4 inches.

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Answer:Graph A.

Step-by-step explanation:

Graph A.

Step-by-step explanation:

We will try to understand the graph plotted for the change in temperature for whole day.

In the morning, temperature starts out around 50°F. As the day goes on, the temperature rises first slowly- Slope of the first line will be less.

Then temperature rises more quickly - Slope of the second line will be more than first line.

It stays constant for an hour- third line will be parallel to the x-axis for one hour gap.

Then the temperature dropped down slowly - Last line of the graph will go down.

By the understanding we made for the graph we find graph A is the answer.

Answer:   y=1/8*x+2

Step-by-step explanation:

The equation of any tangent line is y=a*x+b  (1)

To the equation of the tangent line we have to find the coefficients a and b   and the to substitute them to equation (1).

As we know  a=y'(x0) ( where x0=16)

So y'(x)= (√ (x) )' = 1/(2*√x)

a=y'(x0)= 1/(2*√16)=1/(2*4)=1/8

So lets substitute a in equation (1):

y=1/8 *x+b

Now we have to find b

We know that the point (16, 4) belongs to the tangent line.

That means

4=1/8*16+b => 4=2+b => b=2

SO the equation of the tangent line is y=1/8*x+2

Answer:

x = 2

Step-by-step explanation:

2 + 3 = 5

Answer:

56 times

Step-by-step explanation:

An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

Answer: the last option is correct

Step-by-step explanation:Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

where x and y are the Cartesian coordinates, r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

Given the Cartesian coordinates (x, y) = (-7√3/2, 7/2), we can substitute these values into the formulas:

r = √((-7√3/2)^2 + (7/2)^2)

θ = atan2(7/2, -7√3/2)

Simplifying the expressions:

r = √(147/4 + 49/4) = √(196/4) = √49 = 7

θ = atan2(7/2, -7√3/2)

Using a calculator or reference table to find the arctangent of 7/2 divided by -7√3/2, we get:

θ ≈ 5π/6

So the correct answer is: (7, 5π/6), which is option (6).

The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1)(x - 2)

We have to given that;

Expression is,

⇒ [x /(x² - x - 2)]  + [ (x - 1) / (x - 2) ]

We can simplify as;

⇒ [x / (x² - x - 2)]  + [(x - 1) / (x - 2)]

⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]

⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]

⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]

⇒ [1 / (x - 2)]  × [ x + (x - 1)²] / (x - 1)

⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]

⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)

⇒ (x² - x + 1) / (x - 1) (x - 2)

Hence, The solution of sum of expression is,

⇒ (x² - x + 1) / (x - 1) (x - 2)

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The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

What is independent event ?

In probability theory, two events A and B are said to be independent if the occurrence of one event does not affect the probability of the occurrence of the other event. That is, the probability of A occurring does not change based on whether B occurs or not, and vice versa.

Mathematically, two events A and B are independent if and only if the probability of their joint occurrence is the product of their individual probabilities:

P(A and B) = P(A) x P(B)

If this equation holds true, then we can say that A and B are independent events. Otherwise, they are dependent events.

According to the question:
The answer is D. No, they are not independent, because P(girl) = 0.46 and P(girl | plays a sport) = 0.54.

Two events A and B are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. In this case, we want to know if being a girl and playing a sport are independent events.

We are given that P(girl) = 0.46, which means that 46% of the students surveyed are girls. We are also given that P(girl | plays a sport) = 0.54, which means that 54% of the students who play a sport are girls.

If being a girl and playing a sport were independent events, then we would expect P(girl | plays a sport) to be equal to P(girl). However, we see that P(girl | plays a sport) = 0.54, which is different from P(girl) = 0.46.

This means that the probability of a student playing a sport is dependent on their gender. Therefore, being a girl and playing a sport are not independent events.

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