Determine the value of n that makes the polynomial a perfect square trinomial. Then factor as the square of a binomial. Express numbers as integers orsimplified fractions.u^2+20u+n

Answer;

The number of loaf of bread she can make is;

Explanation:

Given that a baker has 85 cups of flour to make bread.

And for each bread she uses 6 1/4 cups of flour.

The number of loaf of bread she can make can be calculated by dividing the total amount of flour by the amount of flour per bread;

Since it will not complete the 14th loaf of bread.

So, the number of loaf of bread she can make is;

The triangle is isosceles, since two of its sides are equal. Besides, the little triangles ABD and CBD are congruent and this can be concluding using the criterion SSS , since they share one side, and the other sides are equal. Then the angles are congruent, and the angles ADB and CDB are congruent and have the same measure. Then

Then, the measure of angle CDB is 32 degrees.

A person who watches TV 11.5 hours can do 36 sit-ups.

Define Regression Analysis

Regression analysis is a mathematical measure of the average relationship between two or more variables in terms of the original units of the data

Given,

y = ax +b

a = -1.073

b = 27.069

r² = 0.434281

r = -0.659

No. of hours TV watched = 11.5 hours

we have , y = ax + b

where, a = 1.073 , b = 27.069 and x = 11.5 hours

put this value in given equation,

y = 1.073 * 11.5 + 27.069

After calculating, we get

y = 39.4085 or 39

Therefore, a person who watches TV 11.5 hours can do 36 sit-ups.

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We can calculate the slope of a line using the formula

Let's say that

Therefore

Using the formula

The slope of the line passing through points (-8, 8) and (7,8) is 0. Which means it's a constant function (horizontal line).

The equation:

4x² - 5 = 3x + 4

First, we need to re-arrange in the form : ax² + bx + c

4x² - 5 = 3x + 4

4x² - 3x -5 -4 = 0

4x² - 3x -9 =0

comparing the above with ax² + bx + c

a= 4 b= -3 c=-9

we will then substitute the values into the quadratic formula:

Step-by-step explanation:

this simply means to put first 5, then 9 and then 12 in place of the x in the function and calculate the 3 results.

a.

after 5 years it is worth

V(5) = -1500×5 + 21000 = -7500 + 21000 = $13,500

b.

after 9 years it is worth

V(9) = -1500×9 + 21000 = -13500 + 21000 = $7,500

c.

V(12) = $3000

means that after 12 years the car is worth only $3000.

let's check

V(12) = -1500×12 + 21000 = -18000 + 21000 = $3000.

correct.

To find the inverse matrix, augment it with the identity matrix and perform row operations trying to make the identity matrix to the left. Then to the right will be the inverse matrix.

These corresponds to:

Okay, here we have this:

Considering the provided information, we are going to calculate how many different meals are possible, so we obtain the following:

There are 11 ways to choose a main dish, 7 ways to choose a vegetable, 12 ways to choose the first dessert, and 11 ways to choose the second dessert. Then:

We multiply to find the possible number of combinations:

Finally we obtain that there are 10164 different meals possible.

The rational number - 91 / 200 is a number between the decimal numbers - 0.45 and - 0.46.

In this problem we find two decimal numbers, of which we need to find a rational number between these numbers. Please notice that the decimal numbers are also rational numbers. First, we transform each decimal number into rational numbers:

- 0.45 = - 45 / 100

- 0.46 = - 46 / 100

Second, find a possible rational number between the two ends by the midpoint formula:

x = (1 / 2) · (- 45 / 100) + (1 / 2) · (- 46 / 100)

x = - 45 / 200 - 46 / 200

x = - 91 / 200

Then, the rational number - 91 / 200 is a number between - 0.45 and - 0.46.

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The answer is Angle ACB

The angle is form from both line A and C

The null hypothesis is H0: P = 0.31 and the alternative hypothesis is Ha: P > 0.31.

The null hypothesis is simply to predict that there is no effect of relationship between the variables.

The alternative hypothesis is to state the research prediction of a relationship or effect. In this case, the newsletter publisher believes that more than 31% of their readers own a Rolls Royce.

The null hypothesis is P = 0.31. while the alternative hypothesis will be that it's greater than 0.31.

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Solution:

Given:

From the Z-scores formula;

From Z-scores table, the probability that the mean IQ score of people in the sample is less than 99 is;

Therefore, to 4 decimal places, the probability that the mean IQ score of people in the sample is less than 99 is 0.3347

Step 1

Given;

The total number of puppies is 4 represented by 4 coins.

Step 2

Find the experimental probability that exactly 3 of the puppies will be female

Therefore, the total number of samples/coin tosses=20

The formula for probability is;

Total number of events =the total number of samples/coin tosses=20

Number of required events= outcomes with 3 T's from the tab;e=4

Hence.

Answer;

So, y is a system two distinct exponential functions.

The function on the bottom is a cubic function with a y-intercept of -3, and the full dot means that point is included in the domain.

y = x^3 - 3, x ≤ 2

The other function is a quadratic function with a currently unknown y-intercept. The hollow dot on point 2 means that the point is not included in the domain of the function.

y = x^2 + b, x > 2

So, given that there is only one option that matches this, even with the unknown b value, we know:

[tex]y = \left \{ {{x^3 - 3, x\leq 2} \atop {x^2 + 6, x > 2}} \right.[/tex]

So the answer is C.

Since Jim deposits $ 163.93 of his paycheck into his account and there has a balance of - $ 3.47, then he has in his account:

Therefore, Jim has $ 160.46 in his bank account after the deposit is made.

The given arithmetic expression is:

5000 + 300 + 8

This sum can be computed as shown below:

Therefore, 5000 + 300 + 8 = 5308

Convert 5308 to standard form

We have two equations, the first is a circle, which we can identify by the characteristic form of the equation:

The second is a quadratic equation:

We know that Sasha got the bag to land in the edge of the circle defined by the hole, equation 1.

So, to know the points at which the bag landed, we can look for th eintersection of the two equations, which is the same as solving a system of equations:

Since we have been given alternatives, we can check them to get the correct answer.

The first option is (-1,-2) or (-2,1). Since the sign of the alternatives are the only thing that change and the circle equation doesn't differenciate the signs, the best equation to test first is the second one. Let's try that for (-1,-2).

We got y = 5, which is not -2, so this alternative is incorrect.

Let's got for the second alternative, (1.-2) or (2,1):

This is also incorrect.

The third alternative is (-1,2) or (-2,-1), we already saw that for x = -1, y = 5, which makes this alternative also incorrect.

Let's check if the last one will be correct, (1, 2) or (2, -1). We already saw that for x = 1, y = 2 in the second equation, let's check if this is also correct for the first:

One of the results is y = 2, so this also checks out.

The other point is (2,-1), let's check in both equations:

Checks out, and:

And the "y" checks out too.

So, the correct alternative is the last one: (1, 2) or (2, -1).

The measure of the DC is 30.43 units after applying the trigonometric ratios in the right-angle triangle.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

A triangle is shown in the picture.

From the figure:

Applying sin ratio in triangle ADB

sin54 = BD/20

BD = 20sin54

BD = 16.18

Applying the tan ratio in triangle CDB

tan28 = 16.18/DC

DC = 30.43 units

Thus, the measure of the DC is 30.43 units after applying the trigonometric ratios in the right-angle triangle.

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ANSWER and EXPLANATION

A) To organize the measurements in ordered pairs implies that we want to put them in the form:

Therefore, the measurements in ordered pairs are:

Note: 4825 and 6000 are in millions (10⁶) of metric tons

B) To find the slope, apply the formula:

Therefore, the slope is:

C) To find the in point-slope form, we apply the formula:

Therefore, we have:

Note: the unit is in million metric tons

D) To show the equation in point-slope form, we have to put it in the form:

To do that, simplify the point-slope form of the equation:

E) To predict the emissions for the year 2020, substitute 2020 for x in the equation above:

That is the prediction for the year 2020.

In order to calculate and simplify this product, we need to use the following properties:

So we have that:

So the result in the simplest radical form is 90√2.

It is to be noted that a relations in math can be represented in 8 different ways. See the examples below.

The relation in mathematics is the relationship between two or more sets of values.

The various types of relations and their examples are:

Empty Relation

An empty relation (or void relation) is one in which no set items are related to one another. For instance, if A = 1, 2, 3, one of the empty relations might be R = x, y, where |x - y| = 8. For an empty relationship,

R = φ ⊂ A × A

Universal Relation

A universal (or complete) relation is one in which every member of a set is connected to one another. Consider the set A = a, b, c. R = x, y will now be one of the universal relations, where |x - y| = 0. In terms of universality,

R = A × A

Identity Relation

Every element of a set is solely related to itself via an identity relation. In a set A = a, b, c, for example, the identity relation will be I = a, a, b, b, c, c. In terms of identity,  I = {(a, a), a ∈ A}

Inverse Relation

When one set includes items that are inverse pairings of another set, there is an inverse connection. For example, if A = (a, b), (c, d), then the inverse relation is R-1 = (b, a), (d, c). As a result, given an inverse relationship,

R-1 = {(b, a): (a, b) ∈ R}

Reflexive Relation

Every element in a reflexive relationship maps to itself. Consider the set A = 1, 2, for example. R = (1, 1), (2, 2), (1, 2), (2, 1) is an example of a reflexive connection. The reflexive relationship is defined as- (a, a) ∈ R

Symmetric Relation

If a=b is true, then b=a is also true in a symmetric relationship. In other words, a relation R is symmetric if and only if (b, a) R holds when (a,b) R. R = (1, 2), (2, 1) for a set A = 1, 2 is an example of a symmetric relation. As a result, with a symmetric relationship, aRb ⇒ bRa, ∀ a, b ∈ A.

Transitive Relation

For transitive relation, if (x, y) ∈ R, (y, z) ∈ R, then (x, z) ∈ R. For a transitive relation, aRb and bRc ⇒ aRc ∀ a, b, c ∈ A

Equivalence Relation

If a relation is reflexive, symmetric and transitive at the same time, it is known as an equivalence relation.

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It is found that a relations in math can be represented in 8 different ways.

The relation in mathematics is defined as the relationship between two or more sets of values.

There various types of relations and their examples:

An empty relation (or void relation) is one in which no set items are related to one another.  if A = 1, 2, 3, one of the empty relations might be R = x, y, where |x - y| = 8.

R = φ ⊂ A × A

Universal Relation; It is one in which every member of a set is connected to one another.

R = A × A

Identity Relation; Every element of a set is solely related to itself via an identity .

In a set A = a, b, c, for example, it is I = a, a, b, b, c, c. I

n terms of identity,  I = {(a, a), a ∈ A}

Inverse Relation; When one set of data includes items that are inverse pairings of another set, there is an inverse connection.

For example, if A = (a, b), (c, d), then the inverse is; R-1 = (b, a), (d, c).

R-1 = {(b, a): (a, b) ∈ R}

Equivalence Relation; When a relation is reflexive, symmetric and transitive at the same time, it is calles as an equivalence relation.

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1 The x-intercept is the value of x where the graph intersects the x-axis. The graph crosses the x-axis at x = 1. This statement is true.

2 The y-intercept is the value of y where the graph intersects the y-axis. The graph crosses the y-axis at y = -2. This statement is false.

3 The horizontal asymptote is the value of y to which the graph approaches but never reaches. This value seems to be y = -3, thus this statement is true.

4 The range is the set of values of y where the function exists. The graph exists only for values of y greater than -3. This statement is true.

5 We can give x any real value and the function exists, i.e., any vertical line would eventually intersect the graph. This statement is true.

To find the domain of a function when we are given the graph, we use the vertical line test. This consists of drawing an imaginary vertical line throughout the x-axis. If the line intersects the graph, that value of x is part of the domain.

This imaginary exercise gives us the centainty that there is no value of x that won't intercept the graph, thus the domain is the set of all the real values.

6 We can see the graph is positive exactly when the function has its x-intercept, thus This statement is true.

7 As x increases, y goes to infinity. The value of -3 is not a number where f(x) approaches when x increases, but when x decreases. This statement is false.

The mean of the 5th grade students is 4.67

The mean of the 7th grade students is 3.46

The median of the 5th grade students is 5

The median of the 7th grade students is 3.5

A dot plot is a graph used to represent a dataset. A dot plot is made up of a number line and dots.  The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots.

Mean is the average of a dataset. It is determined by adding all the numbers in the dataset together and dividing it by the total numbers in the dataset.

Mean = sum of numbers / total numbers in the dataset

Mean of the 5th grade students = ( 1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 7 + 8 + 8 ) / 24

112 / 24 = 4.67

Mean of the 7th grade students = ( 0, 0, 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7) / 24

83 / 24 = 3.46

Median is the number that is in the middle of a dataset.

Median = (n + 1) / 2

Median of the 5th grade students = (24 + 1) / 2 = 12.5 terms = 5

Median of the 7th grade students = (24 + 1) / 2 = 12.5 term = (3 + 4) / 2 = 3.5.

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Let's use the variable x to represent the cost of a senior ticket and y to represent the cost of a child ticket.

If the cost of 1 senior ticket and 1 child ticket is $18, we have:

If 2 senior tickets and 1 child tickets cost $27, we have:

Subtracting the first equation from the second one, we can solve the result for x:

Now, solving for y:

Therefore the cost of one senior ticket is $9 and the cost of one child ticket is $9.

Correct option: D.

Lets draw a picture of our problem:

where x denotes the measure of the base angle.

Since interior angles of any triangle add up to 180, we have

which gives

By subtracting 90 to both sides, we have

Finally, by dividing both sides by 4.5, we get

Then, the base angle measures 20 degrees and the upper angle measure

Therefore, the searched angles measure

Solution

Step 1

Write the function.

Step 2

Use the chain rule to find f'(x)

Step 3

Step 4

Substitute x = 4 to find f'(4).

Final answer

Answer:

The third table.

Explanation:

In a proportional relationship, the and y values are in a constant ratio.