the area of the region in the first quadrant that is enclosed by the graphs of y=x^3+8 and y=x+8 is

The opposite of being short $4.28 would be having $4.28 or more. That is a surplus or extra of $4.28.

Surplus refers to an amount or quantity that is left over or in excess of what is needed or used. It can refer to various things, such as:

In finance, a surplus refers to an excess of revenue over expenses, or an excess of assets over liabilities. It means having more of something than is necessary or expected.

Therefore, the opposite of being short $4.28 would be having $4.28 or more. This is often referred to as having a surplus or extra of $4.28.

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Answer:

scale factor

Step-by-step explanation:

The dilation of a line segment is longer or shorter based on the ratio given by the scale factor.

For any positive integer n, 1 × 1! + 2 × 2! + . . . + n × n! = (n + 1)! - 1

We use mathematical indution technique to prove  1 × 1! + 2 × 2! + . . . + n × n! = (n+1)! - 1, for  a positive integer n.

Let T(n) be the given expression  1 × 1! + 2 × 2! + . . . + n × n! = (n+1)! - 1

For n = 1,

1 × 1! = 1

and (1 + 1)! - 1 = 1

This means T(1) is true.

Assume that T(k) is true.

So, 1 × 1! + 2 × 2! + . . . + k × k! = (k + 1)! - 1

We need to prove T(k + 1) is also true.

i.e., to prove: 1 × 1! + 2 × 2! + . . . + (k + 1) × (k + 1)! = ((k + 1) + 1)! - 1

Consider,

1 × 1! + 2 × 2! + . . . + (k + 1) × (k + 1)!

= 1 × 1! + 2 × 2! + . . . + k × k! + (k + 1) × (k + 1)!

= (k + 1 )! - 1 + (k + 1) × (k + 1)!

= (1 + k + 1)(k + 1)! - 1

= (k + 2)(k + 1)! - 1

= (k + 2)! - 1

= ((k + 1) + 1)! - 1

This means, T(k+1) is also true.

So, ​T(n) is true for all positive integers n .

Hence proved.

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The graph of the function [tex]G(x) = 2^x + 2 -3[/tex] is obtained from the transformation of the parent function [tex]F(x) = 2^x[/tex].

The transformation of graph either translates, dilates or reflects the parent or the original graph according to the given instructions.

Vertical translation is the movement of the graph up or down on the y-axis depending on the units and its sign.

In the given graph when we add the value 2 the original graph shifts upwards on the y-axis by 2 units.

When 3 is subtracted from the translated graph the graph then shifts downwards on the y-axis by 3 units.

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the answer is (1/2)(5+9)(3) = 21

Answer:

B is true

Step-by-step explanation:

Square root of 32 comes out to be around 5.7 which is greater than 4.8. Rest are false.

While implementing the bubble sort algorithm, the maximum number of comparisons that can take place for n elements are [tex]\frac{n(n -1)}{2}[/tex]

When an array or list of items has to be rearranged, a sorting algorithm is used to compare the elements and sort the elements in the array or list. In each data structure, the new order of the items is determined using the comparison operator.

The simplest sorting method is called Bubble Sort, and it involves periodically exchanging nearby components if they are arranged incorrectly. Since the average and worst-case time complexity of this approach is relatively high, it is not appropriate for huge data sets.

According to the condition the maximum number of comparison can be found as follows:

Number of elemnts = n

Number of passes required by bubble sort of n elements will be = n-1

Therefore for the maximum number of comparisons that can take place for n elements will be = [tex]\frac{n(n -1)}{2}[/tex]

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Answer:

Angles of the triangle are 90°, 50.77° and 39.23°.

Step-by-step explanation:

The solution of the equation p = √2 - p is as follows: p = 1 and p = -2

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. Therefore, let's solve the equation as follows;

let's solve for the variable p in the equation

p = √2 - p

square both sides

p² = (√2 - p)²

p² = 2 - p

p² + p - 2 = 0

The equation forms a quadratic equation.

Therefore,

p² + p - 2 = 0

p² - p + 2p - 2 = 0

p(p - 1) +2(p - 1) = 0

(p - 1)(p + 2) = 0

Hence,

p = 1 and p = -2

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Answer:

190m is 623.39ft

189m is 620.109

The first step in constructing a segment congruent to a given segment is to draw a vertex and a ray.

Step 1: draw a vertex and a ray

Step 2: Draw a line segment that is longer than the specified line segment if we are not given the line segment on which we are to create the congruent section. The portion we just sketched will be known as the second line segment.

Step 3: Place the needle of the compass at an endpoint of the second line segment.

Step 4: Draw an arc of the circle so that it intersects the line segment.

Step 5: Label the point where we placed the needle and the point of intersection using two letters. The congruent line segment we want is the line segment formed by these two endpoints.

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Answer:

98.3

Step-by-step explanation:

I used trigonometry (cosine function) to plug in the information given and solve for what we were missing.

The complete table would be such that the corresponding x and y - values would be:

The values of x are given as x is the independent variable. Those values are 3, 6, and 9.

The values of y can be found as x . 8 which means that the values of y would be the corresponding value of x, multiplied by y.

The values of y would then be:

= x . 8

= 3 x 8

= 24

X - value of 6 :

= 6 x  8

= 48

x - value of 9 in the table :

= 9 x 8

= 72

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Emma could use the expression 300(1.15)^t to calculate her amount using a compound interest rate every year.

We know that Compound interest, also known as interest on principal and interest, is the process of adding interest to the principal amount of a loan or deposit.

The interest one earns on  the previous interest is known as compound interest.

For eg - if you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year.

We will have $110.25 at the end of the second year.

Now, here we know that:

Interest rate = 15%

Now, compound interest formula is given by

A = P(1 + r/n)^nt

Upon putting the values, we get 300(1.15)^t.

Therefore, Emma could use the expression 300(1.15)^t, to calculate the amount using a compound interest rate every year.

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The dataset is quantitative and continuous.

Quantitative data is gathered by measuring and counting. Qualitative data is collected by interviewing and observing. Quantitative data is analyzed using statistical analysis, while qualitative data is analyzed by grouping it in terms of meaningful categories or themes. Quantitative data is anything that can be counted or measured; it refers to numerical data. Qualitative data is descriptive, referring to things that can be observed but not measured—such as colors or emotions.

Discrete data and continuous data are both types of quantitative data. The main difference between them is the type of information they represent. Discrete data typically only shows information for a particular event, while continuous data often shows trends in data over time. The type of data that has clear spaces between values is discrete data. Continuous information is information that falls into a continuous series. Discrete data is countable. Continuous data is measurable. There are distinct or different values in discrete data.

Since calories may be represented by numbers, the data set calories burnt will always have a numerical value. So, it is a quantitative piece of information.

Second, if the data set is quantitative, please specify which subcategory.

Because the values in this case can have many values, the data is continuous. The outcome may range from the smallest value of the data set to its greatest value. As a result, it is ongoing.

Thus, the dataset is quantitative and continuous.

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 16 = 2x + 6

4x - 2x = 6 + 16

2x = 22

x = 11

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

check

4 × 11 - 16 = 2 × 11 + 6

44 - 16 = 22 + 6

28 = 28

Answer: x=11

Step-by-step explanation:

4x-16=2x+6

Start by combining like terms cancelling out the smaller one.

4x(-2x)-16=2x(-2x)+6

Then cancel out -16 so you get the variable x by itself.

2x-16(+16)=6(+16)

Then divide both sides by 2 to get x value.

2x/2=22/2

x=11

Amazon has a better price, their rate is more cheaper.

Amazon sells the slime as 15packs for $45.15

The price of one pack can be calculated as follows

15= 45.15

1= x

Cross multiply both sides

15x= 45.15 × 1

15x= 45.15

divide both sides by the coefficient of x which is 15

15x/15= 45.15/15

x= 3.01

one pack of slime at Amazon is $3.01

The girls sell 5 packs of slime for $20.35

The price of one pack can be calculated as follows

5= 20.35

1= y

cross multiply both sides

5y= 20.35

y= 20.35/5

y= 4.07

The girls sell 1 pack of slime for $4.07

Therefore the person with the best deal is Amazon because their price is much more cheaper

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Integrate (ax)2 − b2 3/2 with respect to x. The result is (2/5)ax5/2 − (b2/5)x3/2 + c, where c is the constant of integration.

Integrate (ax)2 − b2 3/2 with respect to x.

First, use the power rule to rewrite the integrand as

(2/5)ax5/2 − (b2/5)x3/2.

Next, use the integration by parts formula to integrate the expression:

∫(2/5)ax5/2 − (b2/5)x3/2 dx

= (2/5)ax5/2 − (b2/5)x3/2 + c,

where c is the constant of integration.

Integrating (ax)2 − b2 3/2 with respect to x involves using the power rule and the integration by parts formula. The power rule states that when integrating a function to the nth power, the exponent is reduced by one and the coefficient is multiplied by the original exponent divided by the reduced exponent. Therefore, the integrand is rewritten as (2/5)ax5/2 − (b2/5)x3/2. The integration by parts formula is then used to integrate the expression, resulting in (2/5)ax5/2 − (b2/5)x3/2 + c, where c is the constant of integration.

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Answer:

[tex]x = \frac{-20}{7}\\\\y = \frac{4}{7}[/tex]

Answer:

14t + 38 feet

Step-by-step explanation:

Let L be the Length and W the width.  The perimeter of a rectangle is given by 2L + 2W.

Perimeter = 2(9.5+t) + 2(6T+9.5)

Perimeter = 19+2t + 12T+19

Perimeter = 14t + 38 feet

The trigonometric functions are SinƟ = 0.6, CosƟ = 0.8, Tan Ɵ = 0.75, Cot Ɵ = 1.33,  Sec Ɵ = 1.25, Csc Ɵ  = 1.67.

The point (4,3) is on the terminal side of an angle in standard position, and the associated triangle’s missing hypotenuse can be determined using the Pythagorean Theorem, which is:

hyp^2 = adj^2 + opp^2

Hence,

hyp^2 = 4^2 + 3^2 = 16 + 9 = 25

hyp = √25 = 5

Using the provided information, where opposite side is 3, adjacent side is 4, and hypotenuse is 5, the six trigonometric functions can be determined as

1. SinƟ = Opposite/Hypotenuse = 3/5 = 0.6

2. CosƟ = Adjacent/Hypotenuse = 4/5 = 0.8

3. Tan Ɵ = Opposite/Adjacent = ¾ =0.75

4. Cot Ɵ = Adjacent/Opposite = 4/3 = 1.33

5. Sec Ɵ = Hypotenuse/Adjacent = 5/4 = 1.25

6. Csc Ɵ = Hypotenuse/Opposite = 5/3 = 1.67

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In Analysis of variance,  X (bar) is not affected by whether or not the population means are equal.

Analysis of variance  is a statistical method for examining differences in means. It consists of a number of statistical models and the accompanying estimating techniques (such as the "variation" within and between groups). Ronald Fisher, a statistician, created Analysis of variance. The rule of total variance, on which the Analysis of variance is based, divides the observed variance in a given variable into components owing to various causes of variation.

ANOVA generalizes the t-test beyond two means by offering a statistical test to determine if two or more population means are equal. In other words, the Analysis of variance is employed to determine whether two or more means differ from one another.

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Answer: 90%

Step-by-step explanation: It'd be 90%, look at the steps below:

P = 36/40

P =  36/40 * 100/100

P = 90/100

= 90%

I hope this helped.

Answer:

320in

Step-by-step explanation:

Brainliest?

Answer:

surface area of the box = l×w×h

surface area = 10× 8 × 4 = 320in

Answer: True

Step-by-step explanation: Because all your doing is flipping it

the probability possible amounts of time for which they could rent the meeting room  for a maximum of six hours

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

[tex]t = time\\44 + 7.30t < 87.80\\7.30t < 43.80\\t < 6[/tex]

They may reserve the room for a maximum of six hours.

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The two (2) correct representations of the inequality -3(2x - 5) < 5(2 - x) include the following:

C. -6x + 15 < 10 - 5x

D. A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

In this scenario, we would evaluate and simplify the given inequality in order to determine the solution to this algebraic equation as follows:

-3(2x - 5) < 5(2 - x)

Opening the bracket, we have the following:

-6x + 15 < 10 - 5x (correct representation)

Next, we would rearrange the algebraic equation by collecting terms:

-6x + 5x < 10 - 15

-x > -5

x > 5 (correct representation)

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The domain and range of a ln function can be found out easily from their graphical representation.

Consider a function y = f(x) , where x here is the input and y is the output of this function.

So we can define the domain of a function as all possible set of inputs and range as all the outputs that domain will give. The spread of all the y values from minimum to maximum is the range of the function here. Coming to the logarithmic functions domain and range can be found in following ways :

Set the argument in ln(x) greater than 0 to find where the expression is defined. The domain is all values of x that make the expression defined. The range is the set of all valid y values. Use the graph to find the range.

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Answer:

[tex]9x^{2} -33x+30[/tex]

Step-by-step explanation: