\(f(x)=1/2(3)^x+3+4\)Identify if the exponential function is growth or decay?

Answer:

1:3

Step-by-step explanation:

Answer:

1:3 is the correct answer

Step-by-step explanation:

Use the Factor Theorem,

" if x-a is a factor of f(x), then f(a) =0,

So here, since x-3 is a factor then f(3)=0,

So first step, plug in 3 for x for the serperate equations.

\( {3}^{2} + ( p + q)3 - q = 0\)

\(2(3) {}^{2} + (p - 1)3 + (p + 2q) = 0\)

Simplify both equations,

\(9 + 3p + 2q = 0\)

\(15 + 4 p + 2q = 0\)

Isolate the constants,

\(3p + 2q = - 9\)

\(4p + 2q = - 15\)

We have a system of equations so let eliminate a variable, by subtracting the two equations.

\( - p = 6\)

\(p = - 6\)

Plug p back in for any one of the equations to find q.

\(3( - 6) + 2q = - 9\)

\( - 18 + 2q = - 9\)

\(2q = 4.5\)

So p is -6

q is 4.5

Answer:

Elaine

Step-by-step explanation:

2.1 is bigger than 2.06

Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).

It should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.

This will be illustrated thus:

= 10 + 2 × 3² - 2

= (10 + 2) × (3² - 2)

= 12 × (9 - 2)

= 12 × 7

= 84

Therefore, the expression is true.

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Answer:

n = 11/3

Step-by-step explanation:

n = certain number

6n - 1 = 21

6n = 22

n = 22/6 or 11/3

For a set population, a parameter does not change. A parameter is a numerical value that describes some aspect of a population, such as the mean, median, or standard deviation.

It is a fixed value that represents the entire population and does not change as new data is collected.

If there are three different samples of the same size from a set population, it is possible to get three different values for the same statistic.

Because a sample is a subset of a population, the values of statistics calculated from samples will vary depending on the specific individuals or observations that are included in the sample. Even if the samples are of the same size, they will likely have different values for the statistics because of the randomness of sampling.

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Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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Answer:

3 people

Step-by-step explanation:

If 20 people each bring 3 food dishes to an awards banquet, the total amount of food brought will be (20 * 3) = 60foods

If the dishes are shared equally by 180 people at the banquet, then;

60foods = 180 people

1 food = x

Cross multiply

60* x = 180

60x = 180

x =180/60

x = 3

Hence 3 people will share 1 dish

Answer:

oi ngl levi is hawt I like your pfp ^^

Step-by-step explanation:

my name is Riley

Answer:

8 pounds of gummy bears.

Step-by-step explanation:

To find this answer I did:

40/30 = 4/3

Then,

4/3 x 6 = 24/3

This simplified is 8.

To check:

8/6 x 5 = 40/30

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Answer:

  (10, 1), (15, 1), (20, 13), (25, 7)

  IS a function

Step-by-step explanation:

The ordered pairs are (input, output). Essentially, the numbers in each ordered pair are the numbers at each end of an arrow. There are as many ordered pairs as there are arrows.

Working top-down on input values, the ordered pairs of this relation are ...

  (10, 1), (15, 1), (20, 13), (25, 7)

None of the input values is repeated, so the relation is a function.

The area of the stage is option B: 12.5pi square yards.

What is an area?

The area of a semicircle is given by the formula A = (πr²)/2, where r is the radius. In this case, the diameter is given as 10 yards, so the radius is half of that, or 5 yards.

Plugging in the value of the radius into the formula, we get:

A = (π(5)²)/2 = (25π)/2

Simplifying, we get:

A = 12.5π square yards

Therefore, the answer is option B: 12.5pi square yards.

What is semicircle?

A semicircle is a two-dimensional geometric shape that is formed by taking half of a circle. Specifically, a semicircle is the curved portion of a circle that is formed when a diameter is divided into two equal parts, and one of the parts is removed. The straight edge of the semicircle is the diameter of the original circle.

The formula for the area of a semicircle is half of the formula for the area of a full circle: A =  (πr²)/2, where A is the area of the semicircle and r is the radius of the original circle. The formula for the circumference of a semicircle is half of the formula for the circumference of a full circle: C = πr, where C is the circumference of the semicircle and r is the radius of the original circle.

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Complete question is: The area of the stage is option B: 12.5pi square yards.

Answer:

120 ways

Step-by-step explanation:

For this question, you just have to use the permutation technique or multiplication rule.

By using the multiplication rule,

6×5×4=120 ways

By using the permutation technique,

6P3=120 ways

correct me if I'm wrong

Answer:

x=23.5

Step-by-step explanation:

4x-10=84

 +10  +10

4x=94

x=94/4

94/4=23.5

Hope this Helps!

If not I am sorry.

Answer:

hope it helps.................

Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

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The probability that the roll is a 5 is 1/6.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place.

In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.

The higher the likelihood, the more likely it is that the event will take place. A certain occurrence has a chance of 1, while an impossible event has a probability of 0.

Now, there is one 5 on the die, and there are six possible outcomes (1, 2, 3, 4, 5, and 6), so the probability is 1 (the number of 5s) divided by 6 (the total number of outcomes).

So, the probability of getting a 5 is 1/6.

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Here, we want to know the percentage that is 1 standard deviation above the mean and 1 standard deviation below the mean

Cheese required for 1 pizza = ½ pound

So, cheese required for 19 pizzas

= 19 × ½ pounds

= 19/2 pounds

= 9½ pounds

So, Hailey needs 9½ pounds of cheese to make 19 pizzas.

The solution is 9.5 pounds

The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of pounds of cheese for 19 pizzas be A

Now , the equation will be

The number of pounds of cheese for 1 pizza = 1/2 pounds

So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza

Substituting the values in the equation , we get

The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )

The number of pounds of cheese for 19 pizzas = 19/2

The number of pounds of cheese for 19 pizzas = 9.5 pounds

Therefore , the value of A is 9.5 pounds

Hence , the number of pounds of cheese is 9.5 pounds

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Answer:

19/50

Step-by-step explanation:

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Answer:

19/50

Step-by-step explanation:

The required measure of angle 1 is 120°. Option D is correct.

A figure of an isosceles triangle is shown, and a measure of the angle 1 is to be deteremined.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

here,
For a triangle, the sum of the interior angle should be equal to 180°,
So,
30 + 30 + ∠1 = 180
∠1 = 180 - 60
∠1 = 120°

Thus, the required measure of angle 1 is 120°. Option D is correct.

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To find the probability of event A (first card drawn is a club), event B (second card drawn is a club), and event C (third card drawn is red), we can use the Multiplication Rule for independent events.

Given that the events are independent, the probability of all three events occurring is the product of their individual probabilities.

Let's calculate the probability step by step:

1. Probability of event A: P(A) = Number of clubs / Total number of cards

  There are 13 clubs in a deck of 52 cards, so P(A) = 13/52 = 1/4.

2. Probability of event B: P(B) = Number of clubs (after one club is drawn) / Total number of remaining cards

  After one club is drawn, there are 12 clubs left out of 51 remaining cards, so P(B) = 12/51 = 4/17.

3. Probability of event C: P(C) = Number of red cards / Total number of remaining cards

  There are 26 red cards (diamonds and hearts) out of 50 remaining cards, so P(C) = 26/50 = 13/25

Now, using the Multiplication Rule:

P(A and B and C) = P(A) * P(B) * P(C) = (1/4) * (4/17) * (13/25) = 0.03117647059.

Rounding this result to four decimal places, we get approximately 0.0312.

Therefore, the probability that the first two cards drawn are clubs and the last card is red is approximately 0.0312.

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Answer:

C. y = 2x - 3

Step-by-step explanation:

Let's go through process of elimination!

First, we can see that the line intersects the y-axis at (0,-3), making the y-intercept -3. In the equation y = mx + b, b is the y-intercept. Therefore, we can easily take out A and D as the wrong answers because their b isn't -3.

Next, we should know that a line with a positive slope is going up, and this line, indeed, is going up. B can't be right because the slope is negative, meaning the line would go down. That leaves us with answer C as the correct choice.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

Width: 12 feet

Length: 22 feet

Step-by-step explanation:

Let's assign variable w to width, and create an expression that uses this variable w for length.

Length: 2w - 2

Width: w

Perimeter of a rectangle is found by using the formula:

This holds true because in a rectangle, the sides opposite to each other are parallel and congruent.

We are given the perimeter in this question, 68 feet, so we can substitute this number into the formula to find the perimeter of a rectangle.

We can also substitute the expressions for length and width into the formula.

Distribute 2 inside the parentheses.

Combine like terms on the left side of the equation.

Add 4 to both sides of the equation.

Divide both sides of the equation by 6.

The width of the rectangular room is 12 feet. Now substitute this value for w into the expression for length in order to find the length of the room.

The length of the rectangular room is 22 feet.

Answer:

descrease & increase

Step-by-step explanation:

Answer:

Decrease and increase.

Step-by-step explanation:

Yes, the coefficient of thermal expansion goes to zero at T approaches zero.The coefficient of thermal expansion is defined as the fractional change in volume per unit change in temperature.

The coefficient of thermal expansion is defined as the fractional change in volume per unit change in temperature. It is calculated by taking the derivative of volume with respect to temperature. Mathematically, it is expressed as β = (1/V) (dV/dT). As the temperature approaches zero, the change in volume (dV) will also approach zero, and thus the coefficient of thermal expansion (β) will approach zero as well.

The complete question : thermal expansion goes to zero at T approaches zero. By definition, the volume coefficient of thermal expansion is: beta = (1/V) (dV/dT). So, as T approaches zero, (dV/dT) approaches zero, and thus beta approaches zero.

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Answer:

The lowest score was 80, because no student had gotten that grade.

7 students scored higher than 85.

The highest score there was, was 70, cause 4 student got that for a grade.

The range is 3, because the highest amount of studnets was 4 and the lowest was 1.

4 - 1 = 3

Step-by-step explanation:

Hope this helps! =D