f(x)=2x³+6 and g(x)= -5x+4

Find f(-4) and g(5)​

To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Given data:Width of flume (B) = 3 mDepth of flume (D) = 1.5 mChezy’s constant (C) = 0.013Slope of the bed (S) = 0.0025We know that,Q = (1/C) * A * R^(2/3) * S^(1/2)

Where,Q = Discharge of rectangular flumeA = Area of cross-sectionR = Hydraulic radiusS = Slope of the bedCalculation:Area of cross-section, A = B * D = 3 * 1.5 = 4.5 m²Wetted perimeter, P = B + 2 * D = 3 + 2 * 1.5 = 6 mHydraulic radius,

R = A / P = 4.5 / 6 = 0.75 mSubstituting the given values,Q = (1 / 0.013) * 4.5 * 0.75^(2/3) * 0.0025^(1/2)Q = 0.796 m³/sBoundary shear stress, τo = ρ * g * R * Sρ = Density of water = 1000 kg/m³g = Acceleration due to gravity = 9.81 m/s²Substituting the given values,τo = 1000 * 9.81 * 0.75 * 0.0025τo = 18.23 N/m²

The discharge of a rectangular flume 3 m wide and 1.5 m deep on a slope of 0.0025 is 0.796 m³/s and the boundary shear stress is 18.23 N/m².

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The general form of the regression equation is y = a + bx

A regression equation is a statistical model used to identify the relationship between a dependent variable (Y) and one or more independent variables (X) in a dataset. The regression equation is used to make predictions by identifying how a change in one variable affects the other variables. The general form of the regression equation is y = a + bx, where 'y' is the dependent variable, 'x' is the independent variable, 'a' is the intercept value, and 'b' is the slope value.

Therefore, the general form of the regression equation is y= a+bx

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The left side 10x+25 is the cost expression for Black Diamond, while the right hand side 5x+50 is for Bunny Hill. The x is the number of hours.

The probability of randomly selecting the chair and the ranking member is 1/105 or approximately 0.0095.

There are 15 members of the Senate Committee on Homeland Security and Governmental Affairs, two of whom are selected to serve as the committee chair and ranking member. Each member is equally likely to be chosen for either of these positions.

To begin, we must first determine the total number of ways two members can be selected from a committee of 15. This is calculated using the combination formula:

nCr = (n!)/((r!)(n-r)!)where n = 15 and r = 2.

Thus,

nC2 = (15!)/((2!)(15-2)!)

nC2 = (15x14)/(2x1)nC2

= 105

Now we must determine the probability of selecting one member to be the committee chair and the other to be the ranking member.

This is calculated as follows: P = 1/105 or approximately 0.0095. Hence, the probability of randomly selecting the chair and ranking member is 1/105 or approximately 0.0095.

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The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is approximately 0.54.

(a) The probability that the person is traveling on business is 0.7(0.5) + 0.3(0.7) = 0.56.

(b) The probability that the person is traveling for business on a privately owned plane is 0.3(0.7) = 0.21.

(c) The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is given by Bayes' theorem as:

P(private plane | business) = P(business | private plane) * P(private plane) / P(business)

= (0.7 * 0.3) / (0.7 * 0.5 + 0.3 * 0.7) = 0.3 / 0.56 ≈ 0.54.

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Answer:

-8

yeah calculator ez lol

Step-by-step explanation:

3x+6 = 90

3x = 84

x = 28

angle z = 28+6=36

angle t = 56

Answer:

Part A: Non linear

Part B: Yes

Part C: The y-intercept is (0, 0), represent the starting height level of the golf ball

Part C: The solution are the points (0, 0) and (100, 0) which are the points at which the golf ball touches the ground

Step-by-step explanation:

Part A: The shape of the path of the increase in the height of the the golf ball as it moves in increasing horizontal distance from the starting point is hat of a parabola

Part B: The graph is a function because each value of the independent variable, distance (ft.) maps to exactly one value of the dependent variable, elevation (ft.)

Part C: The y-intercept represents the starting or initial value of the function, where x = 0. It represents the height from which the golf ball motion path starts

Part D: The solution represents the values of the x-intercept at which the elevation is the y = 0.

Answer:

9

Step-by-step explanation:

(5-2)*3

5-2=3

3*3=9

Answer:

3(5-2) = 9

Step-by-step explanation:

PEMDAS

Answer: 80 dollars

Step-by-step explanation:

You can find a percentage with one of two ways.

For hundreds like this, oftentimes it's quicker and more simple to think of it as just 100. The proportion from 100 to 500 is just 5.  16% of 100 is 16. So, multiply 16 * 5. You would get 80.

The second method is you can use 0.16 * 500. It's the more conventional method, and you get 80, like the last method.

Answer:

9 = x

Step-by-step explanation:

63 = 7x (Given)

9 = x (Divide 7 on both sides)

Answer:

9

Step-by-step explanation:

63 divided by 7 = 9

X=9

Answer:

x ≤ 30

Step-by-step explanation:

Pls make me branliest I need it.

ax^2+bx+c is the standard form

Answer:

\(9th=31\)

Step-by-step explanation:

From the question we are told that:

Seventh term \(7th= 21\)

Common difference \(d= 5\)

Generally Equation for seventh term

\(7th=a+(7-1)d\)

Therefore the  First Term is given as

\(a=7th-(7-1)d\)

\(a=21-6*5\\a=-9\)

Generally the equation for 9th term is mathematically given by

\(9th=a+8d\)

\(9th=-9+8(5)\)

\(9th=31\)

Answer:x=-0.5

Step-by-step explanation:

You would add the 2.5 on both sides of the equal sign

Answer:

23 m and 15 m

Step-by-step explanation:

THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?

Let the height of the rectangle is h.

Base = 8+h

Area of the rectangle, A = 65 m²

We need to find the base and height of the rectangle. The area of a rectangle is given by :

A = bh

So,

\(65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m\)

Neglecting negative value, h = 15 m

Base  = 8+15 = 23 m

So, the base and height of the rectangle is 23 m and 15 m respectively.

Answer:

well, 10 ^10 I believe. you would multiply the 8 and 2, making 10. then, 10 + 0 equals 10. thus, 10 ^ 10

Answer:

76.96902001

Step-by-step explanation:

We know that the area of a circle is \(pi * r^2\) so we can take that equation and divide it by two to get your answer. So in this case it would be \(\frac{pi*7*2}{2}\). Hope this helps!

Answer:

Step-by-step explanation:

-9x+1=-80

first subtract 1 from both sides

-9x=-81

we divide by -9

x=9

The given series is convergent, and its sum is approximately 0.1524.

To determine whether the series ∑n=1∞ 1/(9+\(e^{(-n)}\)) is convergent or divergent, we can use the comparison test with the series 1/n.

Since for all n, \(e^{(-n)}\) > 0, we have \(9 + e^{(-n)}\) > 9, and so \(1/(9+e^{(-n)})\) < 1/9.

Now, we can compare the given series with the series ∑n=1∞ 1/9, which is a convergent p-series with p=1.

By the comparison test, since the terms of the given series are smaller than those of the convergent series 1/9, the given series must also converge.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a/(1-r)

where a is the first term and r is the common ratio. In this case, the first term is 1/10 (since \(e^{(-1)}\) is very small compared to 9.

We can approximate \(9+e^{(-n)}\) as 9 for large n), and the common ratio is \(e^{(-1)} < 1\). Therefore, the sum of the series is:

S = (1/10)/(1 - \(e^{(-1)}\)) = (1/10)/(1 - 0.3679) ≈ 0.1524

Therefore, the given series is convergent, and its sum is approximately 0.1524.

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Answer:

Using the property of logarithms that says log_a(a^b) = b, we can simplify the expression:

7^(log_7(12)) = 12

Therefore, the value of the expression is 12.

Answer:

answer: 50%

Step-by-step explanation:

The answer is 50% because 15 is half of 30 because 15 + 15 = 30 so 15 is half of 30 50%

The required equation models the future cost of gasoline with price increment of 0.3% per month is given by x = 1.19(1.003)^t .

Let us consider 'x' represents the cost of gasoline.

And 't' represents the number of months since January 1, 1999.

The price of gasoline increased by 0.3% per month.

This implies,

Increased by = 0.003 times the original cost each month.

The cost of gasoline after 't' months can be modeled by,

x = 1.19(1 + 0.003)^t

Simplifying the above equation we get,

x = 1.19(1.003)^t

Therefore, the equation x = 1.19(1.003)^t models the future cost of gasoline, assuming the price of gasoline continues to increase at a rate of 0.3% per month from January 1, 1999.

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The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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To find the value of t for which the tangent line to the curve is perpendicular to the plane, we need to determine the direction vector of the tangent line and the normal vector of the plane.

The curve r(t) is given by r(t) = \((3t - 4t^3, 5t^2, -2t)\). Taking the derivative of r(t) with respect to t, we get the velocity vector of the curve:

\(r'(t) = (3 - 12t^2, 10t, -2)\)

To obtain the direction vector of the tangent line, we can use the velocity vector r'(t) since it gives the direction in which the curve is moving at each point. Let's denote the direction vector as v:

\(v = (3 - 12t^2, 10t, -2)\)

The plane is given by the equation 3x - 2y + 70z = -5. The coefficients of x, y, and z represent the normal vector to the plane. So the normal vector n of the plane is:

n = (3, -2, 70)

For the tangent line to be perpendicular to the plane, the direction vector of the tangent line (v) must be orthogonal to the normal vector of the plane (n). This means their dot product must be zero:

v · n = (3 - 12\(t^2\) )(3) + (10t)(-2) + (-2)(70) = 0

Expanding and simplifying the equation:

9 - 36\(t^2\) - 20t - 140 = 0

-36\(t^2\) - 20t - 131 = 0

This is a quadratic equation in terms of t. We can solve it using the quadratic formula:

t = (-b ± √(\(b^2\) - 4ac)) / (2a)

Plugging in the values from the quadratic equation:

t = (-(-20) ± √(\((-20)^2\) - 4(-36)(-131))) / (2(-36))

Simplifying further:

t = (20 ± √(400 - 19008)) / (-72)

t = (20 ± √(-18608)) / (-72)

Since the expression inside the square root is negative, the quadratic equation has no real solutions. Therefore, there is no value of t for which the tangent line to the curve is perpendicular to the plane.

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Answer:

130.35

Step-by-step explanation:

https://percentages.calculators.ro/22-number-increased-with-percentage-of-its-value.php?number=55&percentage_increase=137&new_value=130.35

Answer: 40

Hope this helps