True or False
An example of an annual expense would be electricity because you receive a bill each month.

Answer:

An exponential function has the form `f(x) = ab^x`, where `a` and `b` are constants. To find the exponential function that passes through the points `(-2,1)` and `(-1,2)`, we can use these points to set up a system of equations to solve for the values of `a` and `b`.

Substituting the coordinates of the first point into the equation for an exponential function gives us:

`1 = ab^(-2)`

Substituting the coordinates of the second point into the equation for an exponential function gives us:

`2 = ab^(-1)`

Dividing these two equations gives us:

`(2)/(1) = (ab^(-1))/(ab^(-2))`

`2 = b`

Now that we know that `b=2`, we can substitute this value back into either equation to solve for `a`. Substituting into the first equation gives us:

`1 = a(2)^(-2)`

`1 = a(1/4)`

`a = 4`

So, the exponential function that passes through the points `(-2, 1)` and `(-1, 2)` is given by:

`f(x) = 4 * 2^x`.

To find the exponential function for the graph passing through (-2,1) and (-1,2), we need to use the general form of an exponential function, which is:

y = a * b^x

where:

a is the initial value or the y-intercept of the function

b is the base of the exponential function

x is the variable or the exponent

To determine the values of a and b, we need to use the two given points and solve for the corresponding equations. Substituting the first point (-2,1), we get:

1 = a * b^(-2)

Substituting the second point (-1,2), we get:

2 = a * b^(-1)

Now, we can solve for a and b by eliminating one variable. Dividing the second equation by the first equation, we get:

2/1 = a * b^(-1) / (a * b^(-2))

2 = b

Substituting this value of b into the first equation, we get:

1 = a * 2^(-2)

a = 4

Therefore, the exponential function that passes through (-2,1) and (-1,2) is:

y = 4 * 2^x

or

f(x) = 4 * 2^x

Answer:

$5.46

Step-by-step explanation:

4 / 3.64 = 6 / x

Answer: 21 quarters and 2 nickels.

Step-by-step explanation: $0.25(one quarter) x 21 = $5.25. $0.05(one nickel) x 2 = $0.10. $5.25 + $0.10= $5.35.

Answer: 6.8*10⁻⁴=0.00068

Step-by-step explanation:

\(6.8*10^{-4}=0.00068\)

The answers to all parts shown below.

Radical - The √ symbol that is used to denote square root or nth roots. Radical Expression - A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol.

Given:

We have to find the Square/Cube Factors

1. 5/6√3

Now, rationalizing

5/6√3 x √3/ √3

= 5√3 / 18

2. √3/ (7- 3√5)

Now, rationalizing

= √3/ (7- 3√5) x (7+ 3√5) / (7+ 3√5)

= √3(7+ 3√5) / 4

3. 8/ (4 + 5√2)

Now, rationalizing

= 8/ (4 + 5√2) x  (4 - 5√2)/  (4 - 5√2)

= -8 (4 - 5√2)/ 34

4. 7 ∛(48 \(m^{18} n^{13}\))

= 14 \(m^6\)\(n^4\)∛6n

5.\(2\sqrt{\left(-300x^{18}\right)}\)

=\(20\sqrt{3}\sqrt{-x^{18}}\)

6. (4+ 7√10)²

= 4² + (7√10)²+ 2 (4)( 7√10)

= 16 + 490 + 56√10

= 506 + 56√10

7. (6- 7√3) x (6+ 7√3)

= 6² - (7√3)²

= 36 - 147

= -111

8. 11√50\(x^{12}y^5\)

= 55\(x^6\)y²√2y

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Answer:

The angle measures 36

Step-by-step explanation:

180 - (87 + 57)

180 - 144 = 36

Answer:

x = 36

Step-by-step explanation:

A triangle is always a 180 degree angle, so add up all of the angles and subtract it to 180

57 + 87 = 144

180 - 144 = 36

x = 36

Answer:

1/9a

Step-by-step explanation:

i used math.way lm.ao hope it helps

Answer:

7^12

Step-by-step explanation:

When dividing two exponents by the same base, it is the same as subtracting the power (14-2).

To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.

To find the value of k, we need to follow these steps:

Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0

This means that the curve intersects the x-axis at x = 0 and x = 2k.

Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.

Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx

Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)

Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3

Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3

Take the cube root of both sides:
k = 3

The value of k is 3 (Option b).

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To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

→ x + x + 4 = 50

→ 2x + 4 = 50

→ 2x = 50 - 4 = 46

→ x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

Step-by-step explanation:

x + y = 50

x - y = 4

x = y + 4

let's use that as substitute in the first equation

y + 4 + y = 50

2y = 46

y = 46/2 = 23

=>

x = y + 4 = 23 + 4 = 27

the 2 numbers are 23 and 27.

Answer:

x = 7

Step-by-step explanation:

2x + 11 = 25

subtract 11

2x = 14

divide by two

x = 7

Answer: i.d.k

Step-by-step explanation: thanks

Answer:

One lap around the mall is equal to 2,425 steps

Step-by-step explanation:

I got it right

Based on effect size conventions, d = 0.60 is considered a moderate effect size. It is a standardized measure that quantifies the magnitude of the difference or relationship between two groups or variables.

It provides a standardized way to compare the strength of effects across different studies or contexts. Effect size conventions vary across disciplines and research areas, but a commonly used benchmark is Cohen's d. In this convention, an effect size of d = 0.20 is considered small, d = 0.50 is considered medium or moderate, and d = 0.80 is considered large.

Therefore, with a value of d = 0.60, the effect size is considered moderate according to this convention. It indicates a meaningful and noticeable difference or relationship between the groups or variables being studied, but not as strong as a large effect size would suggest.

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Answer:

The regular price is $38.69

Step-by-step explanation:

32.89 / 0.85 = 38.69411765

Answer:

A

Step-by-step explanation:

We are given:

\(\cos(22f-1)=\sin(7f+4)\)

Recall the co-function identity:

\(\sin(\theta)=\cos(90-\theta)\)

Let θ = 7f + 4. So:

\(\sin(7f+4)=\cos(90-(7f+4))\)

Substitute:

\(\cos(22f-1)=\cos(90-(7f+4))\)

Remove the cosine:

\(\displaystyle 22f-1=90-(7f+4)\)

Distribute:

\(22f-1=90-7f-4\)

Subtract:

\(22f-1=-7f+86\)

Add 7f and 1 to both sides:

\(29f=87\)

Therefore:

\(f=3\)

A: you're finding the area where he needs carpet so you do 30x20 and 10x10 and then add those together B: you're seeing how much it would cost to carpet the bedroom so you take the answer from problem A and multiply it by 3

Answer:

17hrs 45mins

Step-by-step explanation:

Timespan is 17 hour(s) and 45 minute(s).

Answer:

x = 16, y = -4

Step-by-step explanation:

First, we can say that "x = the first number" and "y = the second number"

The first number plus twice the second number is 8:

x + 2y = 8

Twice the first number plus the second number totals 28:

2x + y = 28

Next, we solve the system of equations.

x + 2y = 8 ---> 2x + 4y = 16 ---> 2x = 16 - 4y

2x + y = 28  ---> 2x = 28 - y

16 - 4y = 28 - y

-4y + y = 28 - 16

-3y = 12

y = -4

Now, we plug "y = -4" into either one of the equations to find x:

x + 2(-4) = 8

x + -8 = 8

x = 8 + 8

x = 16

When a 10% increase in income causes a 4% increase in quantity demanded of a good is income inelastic.

More specifically, the income elasticity of demand is calculated as the percentage change in quantity demanded divided by the percentage change in income. In this case, we have:

Income elasticity of demand = (% change in quantity demanded) / (% change in income)

= 4% / 10%

= 0.4

Since the income elasticity of demand is less than one, we say that the good is income inelastic. we can say that the income elasticity of demand for the good is positive and less than one. This means that the quantity demanded of the good does not increase proportionally as income increases. Instead, the increase in quantity demanded is less than the increase in income.

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The total number of reptile/fish pets written in scientific notation is 1.6*10^8

We know that there are estimates to be:

Notice that all these numbers writen in scientific notation, and we need to add them.

To add them, the exponent in the 10 must be equal in both numbers, so we can rewrite:

1.5*10^8 = 150*10^6

Now we can add these two to get:

150*10^6 + 9.5*10^6 = 159.6*10^6

Now to write this as scientific notation, we need to have only one digit on the left side of the decimal point, so we can rewrite this as:

159.6*10^6 = 1.596*10^8

Rounding this to two decimal places we will get:

1.596*10^8 = 1.6*10^8

So there are 1.6*10^8 pet fish and pet reptile in the US.

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Answer:

79.6 dollars saved

Step-by-step explanation:

Mail

4 times 54.90 equals 219.6

4 times 6.50 equals 26

4 times 8.34 equals 33.36

219.6 + 26 + 33.36 = 278.96

Local store

332 times .08 equals 26.56

332 + 26.56 = 358.56

Difference

358.56 - 278.96 = 79.6

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

The interest on a savings or loan at a particular rate for a period of time is calculated as

A. Up

Parabolas are graphs that make U-shapes and are formed from quadratic equations.

Vertical Parabolas

There are 2 different types of parabolas: vertical and horizontal.

If the x-value is squared, then the parabola is vertical. So, this graph must open up or down.

Positive A-Value

The a-value is the coefficient before the squared term. In a vertical parabola, the graph opens up if the a-value is positive. On the other hand, the graph opens down when the a-value is negative.

In this case, the graph is a vertical parabola that opens up. This means that the range will have a minimum value but no maximum.

Answer: 4 in

Step-by-step explanation:

The volume of the cylinder is

\(V=(\pi)(2^{2})(3)=12\pi\)

If we let the height of the cone h, the volume of the cone is

\(V=\frac{1}{3}(\pi)(3^{2})(h)=3\pi h\)

Setting these volumes equal,

\(12\pi=3\pi h\\\\12=3h\\\\h=\boxed{4 \text{ in}}\)

Answer:

X=-9

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

Answer: 20°

Step-by-step explanation:

Let's call angle 1 x and angle 2 y

We know that x is three times greater than y, and that means that we can write it like this:

3y = x         pls let me know if this part is confusing

Then we can write this entire equation:

3y + y = 80       remember, x = 3y

4y = 80

y = 20