How many 1/2 cup servings are in a package of cheese that contains 5 1/4 cups altogether?

Answer: C

Step-by-step explanation:

The GPA of the student who earned a "C" in Trigonometry, a "B" in American History, an "A" in Botany, and a "B" in Microbiology is 3.

To calculate the GPA, we need to assign point values to each grade and then calculate the weighted average.

Given:

Trigonometry (C) = 2 points

American History (B) = 3 points

Botany (A) = 4 points

Microbiology (B) = 3 points

To calculate the GPA, we'll sum the total points earned and divide by the total number of courses:

Total Points = 2 + 3 + 4 + 3 = 12

Total Courses = 4

GPA = Total Points / Total Courses = 12 / 4 = 3

Therefore, the GPA of the student who earned a "C" in Trigonometry, a "B" in American History, an "A" in Botany, and a "B" in Microbiology is 3.

learn more about word problems at https://brainly.com/question/21405634

#SPJ1

Answer:

5572.5 or 5573 inches

Step-by-step explanation:

First of all, the formula is 4/3(pi)r^3

So 4/3(3.14)11^3

So then 5572.5 or 5573 inches

Answer:

y = (1/3)x + 4

Step-by-step explanation:

(0, 4) and (-3, 3)

(x₁, y₁)         (x₂, y₂)

        y₂ - y₁           3 - 4           -1            1

m = ------------- = ------------ = --------- = --------

         x₂ - x₁          -3 - 0         -3           3

y - y₁ = m(x - x₁)

y - 4 = (1/3)(x - 0)

y - 4 = (1/3)x - 0

   +4            +4

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

y = (1/3)x + 4

I hope this helps!

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

Read more on unit price:

https://brainly.com/question/945712

#SPJ1

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

For more question on lengths visit:

https://brainly.com/question/28322552

#SPJ8

Answer:

2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The additive inverse is when you can add a number to the original number and it will always end up 0. So the additive inverse of -7 is 7. -1/2 would be positive 1/2 = 0.

Answer:

x  = Y /m  −  p /m +8

Step-by-step explanation:

Sam drove approximately 246 miles.

Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:

213.33 - 18.99 = 194.34

We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:

194.34 = 0.79x

where x is the number of miles driven.

To solve for x, we can divide both sides of the equation by 0.79:

x = 194.34 / 0.79 ≈ 246

Therefore, Sam drove approximately 246 miles.

To solve more aptitude related questions refer the following link:

https://brainly.com/question/28985067

Answer:

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

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

Answer:

1.

Step-by-step explanation:

The answer is combination one because salt dissolved in water is a solution. Hope this helps.

Answer:

no more  Fortnight gift cards

Step-by-step explanation:

Answer:

The answer in a subtraction problem is called the difference

the answer to addition is called the sum

Step-by-step explanation:

Answer:

∠ h = 75°

Step-by-step explanation:

∠ e = ∠ a = 105° ( corresponding angles )

∠ h and ∠ e are adjacent angles and sum to 180°

∠ h + 105° = 180° ( subtract 105° from both sides )

∠ h = 75°

Answer: C; 5.32

Step-by-step explanation: If you are short $5.32, then that is represented as -5.32. The opposite of -5.32 is +5.32 or just 5.32. I hoped this helped!

Answer:

-1/4 is the correct answer

Step-by-step explanation:

you’re going down 1 and over 4 :)

EXPLANATION

Given the Newton’s Law of universal Gravitation:

As the force is of 36 N, we can substitute It on the function:

If the mass of both objects is doubled, then the force will be stronger by a factor of 4:

Also, if the distance between them is doubled, then we will get a factor of 4 as shown as follows:

Then, simplifying both numbers 4, we can conclude that the force will be the same:

For every given triangle, the sum of all three angles is always 180 degrees.

This means;

Substitute for the given values and we now have;

Subtract 100 from both sides of the equation now, and we'll have;

ANSWER:

Measure of angle U = 80

Option A is the correct answer

Answer:

13 \(\frac{1}{3}\)

Step-by-step explanation:

Firstly, we need to calculate the ratio of cup a to cup b:

\(\frac{1}{2} : 1 \frac{2}{3}\)

To find out how much of cup b we need after using 4 cups of cup a, we can divide 4 by the ratio of cup a:

4 ÷ \(\frac{1}{2}\) = 8

So we need to multiply the ratio of cup b by 8:

8 * \(1 \frac{2}{3}\) =  13 \(\frac{1}{3}\)

Meaning that

13 \(\frac{1}{3}\) cups of cup b is needed.

Hope this helps!

Answer: the car travels 40 miles per hour

Step-by-step explanation: First you have to set the ratio up as 120 miles over 3 hours. After you do that you need to divide 120 by 3 which will give you for which gives you 40 miles per hours

Answer:

$2,313,150,687,166.22 is the interest accrued.

Step-by-step explanation:

Hope this helps

Answer:

$2,313,150,687,166.22 is the interest

Step-by-step explanation:

hope this helps.

The vector field F = 1i + 1j + 3k has a flux of 2 across the surface S. We use Green's Theorem to determine the vector-flux field.

φ = ∫ F.n ds

φ = ∫∫ F. divG.dA

In which, G is equivalent to a part of given plane = 2x + 1y + z = 2.

And,  F = 1i + 1j + 2k

Thus,

div G = div(2x + 1y + z = 2) = 2i + 4j + k

Flux = ∫(1i + 1j + 3k) (2x + 1y + z).dA

φ = ∫ (2 + 4 + 2).dA

φ = 8∫dA

A = 1/2 XY (on this given x-y plane)

2x+4y =2

For, x = 0, y = 1/2

y = 0, x = 1

1/2 (1*1/2) = 1/4

Thus,  flux = 8*1/4 = 2

φ = 2.

There are several uses for Green's theorem. Solving two-dimensional flow integrals, whose assert that its sum of fluid outflows from just a volume equals the sum of outflows around an enclosed area, is one way to accomplish this.

To know more about the Green's Theorem, here

https://brainly.com/question/23265902

#SPJ4

The complete question is-

Let S be the part of the plane 2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1i + 1j + 3k across the surface S. F = 1i + 1j + 3k across the surface s2x + 1y + z = 2 which lies in the first octant, oriented upward. Find the flux of the vector field.

The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

Read more on vertex here: brainly.com/question/14946018

#SPJ1

Answer:

A. 6975 cm, B. 69750 mm

Step-by-step explanation:

Answer:

4.46 cm

Step-by-step explanation:

find ange QPR

QPR = 35

Use sin rule

p/sinP = r/sinR

p/sin35 = 5/sin40

p = 5sin35/sin40

p = 4.46 cm

Answer:

x=-2

Step-by-step explanation:

\(125^{2x}=5^{4x-4}\\(5^3)^{2x}=5^{4x-4}\\5^{6x}=5^{4x-4}\\6x=4x-4\\6x-4x=-4\\2x=-4\\x=\frac{-4}{2}=-2\)

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

10

Step-by-step explanation:

√(13 – 7)^2 + (2 – 10)^2

√(6)^2 + (-8)^2

√36 + 64

√100

10