Oliver is thinking of two numbers. They are both whole numbers.
One number is one third of the
other number.
The sum of the numbers is 16

Answer:

The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.

The daily balances are as follows:

* July 7: $216.71

* July 14: $268.75

* July 17: $284.37

* July 21: $116.71

* July 24: $260.74

The average daily balance is therefore $226.81.

The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.

The finance charge is therefore $7.43.

The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.

Here is the solution in mathematical form:

* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81

* Finance charge = 226.81 * 0.0125 * 31 = 7.43

* New balance = 216.71 + 7.43 = 224.14

Step-by-step explanation:

Step-by-step explanation:

Jalya's video games = x

She bought four more = +4

Now what she has = 10

1. x+4=10

2. The variable x represents the unknown value of the video games Jayla had.

3. x+4=10(Group like terms)

x=10-4

x=6

50 ounces = 3.125 pounds Alternative conversion We can also convert by utilizing the inverse value of the conversion factor. In this case 1 pound is equal to 0.32 × 50 ounces. hope this helps you!! <3

Answer:

2 4 6 8

Step-by-step explanation:

Answer:

There isn’t any question sry

Step-by-step explanation:

The requried  \(\int_a^{oo} g(x) dx\) must be convergent. Option C is correct.

Since f(x) is greater than or equal to g(x) for all x, we know that:

\(\int_a^{oo} f(x) dx\geq\int_a^{oo} g(x) dx\)

If \(\int_a^{oo} f(x)\)dx is convergent, then by comparison test, \(\int_a^{oo} g(x) dx\) must also be convergent. Therefore, the correct answer is (C) g(x)dx is convergent.

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The graph that correctly represents f(x) = –2(x + 4)² is graph (B).

So, graph of: f(x) = –2(x + 4)²

Then,

Now, plot (-2x - 8)² on the graph.

(Refer to the graph attached below)

Therefore, the graph that correctly represents f(x) = –2(x + 4)² is graph (B).

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Answer:

f(-1) = 2

Step-by-step explanation:

Hey there!

To find f(-1), we have to look at the x value of -1, and draw a vertical line. All of the points of intersection of the graph and the vertical line are your answers.

In this graph, the line touches point (-1,2), but we just want the y-value

f(-1) = 2

-Chetan K

Answer:

Elements, that are part of the universal set, that don't belong to A or B in any way

Answer:

-2 ,2

Step-by-step explanation:

To determine the domain of this function, we have to remember that there are not real square roots for negative values, it means

Solve for x in the inequality

x is more than or equal 3/4

In set builder notation it is written this way

The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

The functions are given as:

So, the interpretation of the function c(p(t)) is

The number of calories burned doing push-ups in t seconds

In c(p(45)), the value of t is 45

Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

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Answer:

BAP=12

ABP=32.5

BCP=45.5

Answer:

I think it is p= $60

The value of the function g(x + a) - g(x) is a(-2x - a + 5).

To find the value of function g(x + a) - g(x), we first need to substitute g(x + a) and g(x) into the expression and simplify:

g(x + a) - g(x) = [- (x + a)^2 + 5(x + a)] - [-x^2 + 5x]

= [-x^2 - 2ax - a^2 + 5x + 5a] - [-x^2 + 5x]

= -x^2 - 2ax - a^2 + 5x + 5a + x^2 - 5x

= -2ax - a^2 + 5a

= a(-2x - a + 5)

Therefore, the value of g(x + a) - g(x) is a(-2x - a + 5).

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Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Answer:

0.55 seconds and 10.89 seconds

Step-by-step explanation:

h = 183t − 16t²

95 = 183t − 16t²

16t² − 183t + 95 = 0

Solve with quadratic formula:

t = [ -(-183) ± √((-183)² − 4(16)(95)) ] / 2(16)

t = (183 ± √27409) / 32

t = (183 ± √27409) / 32

t ≈ 0.55 or 10.89

Answer:

The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. ... Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.

Answer:

The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.

Step-by-step explanation:

The solutions for the given equation are x=−1,1,√2,−√2. Therefore, option B is the correct answer.

The given equation is x⁸-4x⁷+3x⁶+8x⁵-15x⁴+4x³+9x²-8x+2=0.

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Here, (x⁸-4x⁷+8x⁵+4x³)+3x⁶-15x⁴+9x²+2=0

(x-1)⁵(x³+x²-2x-2)=0

(x-1)⁵(x²-2)(x-1)=0

(x-1)⁵=0, (x²-2)=0 and (x-1)=0

x=±1 x=±√2 and x-1

Exact Form: x=−1,1,√2,−√2

Therefore, option B is the correct answer.

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(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

160

Step-by-step explanation:

Answer:

JK = 21 ft

Step-by-step explanation:

To find JK = x, apply Trigonometry function.

Reference angle = 65°

Opposite side = JK = x

Adjacent side = KL = 10 ft

Apply TOA:

Tan 65° = Opp/Adj

Tan 65° = x/10

Multiply both sides by 10

10*Tan 65° = x

21.4450692 = x

x = 21 ft (nearest feet)

Answer:\(8.75\ m^2\)

Step-by-step explanation:

Given

Area of circle is \(A=45\ m^2\)

Arc measure \(\theta =70^{\circ}\)

and area of sector is given by

\(\Rightarrow \frac{\theta }{360^{\circ}}\times \text{Area of circle}\)

\(\Rightarrow \frac{70}{360}\times 45\)

\(\Rightarrow 0.194\times 45\)

\(\Rightarrow 8.75\ m^2\)

So, area of sector is \(8.75\ m^2\)

Since Kiran selects a slice of sausage pizza, there are three remaining possibilities for Mai: two slices with sausage and a slice with pepperoni.

Then, the probability of picking a pepperoni pizza under those conditions equals the number of pepperoni slices divided by the total number of slices.

Since there is 1 pepperoni slice and a total of 3 slices, the probability is:

Answer :The correct equation is the third option : y = (1/4)x - 2

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

$563.23

Step-by-step explanation: