Solve What’s In This Image

Answer:

5216.844

Step-by-step explanation:

Let x be the fourth number.

We know that the sum of the four numbers is 20500:

2341.578 + 10690 + x + 2341.578 = 20500

Simplifying and solving for x:

x = 20500 - 2341.578 - 10690 - 2341.578

x = 5216.844

The graph that shows the solution set for the system y ≥ -2, x < 2 is illustrated below.

First, we graph y ≥ -2. This inequality represents all the points above or on the line y = -2. To graph this, we draw a horizontal line at y = -2 and shade in all the points above this line.

Next, we graph x < 2. This inequality represents all the points to the left of the line x = 2. To graph this, we draw a vertical line at x = 2 and shade in all the points to the left of this line.

The solution set of the system is the region that satisfies both inequalities simultaneously. Since the region that satisfies both inequalities is the shaded region above the line y = -2 and to the left of the line x = 2, we select the graph that shows this shaded region.

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Answer:

1617.5mm^3

Step-by-step explanation:

The square base with a side length of 10 mm and an overall height of 17.25 mm.

Based on your question, it seems that you have a figure with a square base and a height.

The extent or potential of a rectangular pyramid can be calculated the usage of the formula:

V = (1/3)abH

Where "a" and "b" are the size and width of the rectangular base, and "H" is the top of the pyramid.

Similarly, the floor vicinity of a rectangular pyramid can be calculated the use of the formula:

A = ab + (1/2)P(lateral)

where "P(lateral)" is the perimeter of the lateral face, which can be calculated as the sum of the slant heights of the 4 triangular faces.

The slant top can be calculated the use of the Pythagorean theorem, the place the base of the triangle is one facet of the rectangular base, the top is the top of the pyramid, and the hypotenuse is the slant height.

To provide a relevant answer,

I need to know the type of figure you are referring to (e.g., pyramid, prism). Once you provide that information.

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The domain of f⁻¹(y) is all real numbers greater than or equal to 4. Therefore, option B is the correct answer.

The domain of a function is the set of all possible input values for which the function is defined. In this case, the domain of f(x) is all real numbers, since there are no restrictions given in the problem.

To find the inverse of f(x), we need to solve for x in terms of y.

f(x) = (x-4)^2 + 7

y = (x-4)² + 7

y - 7 = (x-4)²

√(y-7) = x-4

x = √(y-7)+4

The inverse of f(x) is:

f⁻¹(y)=√(y-7)+4

Therefore, option B is the correct answer.

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Answer:

x less than or equal to 4 option c

Step-by-step explanation:

took the test

Answer:

A. ASA

B. LA

E. AAS

Step-by-step explanation:

A. ASA

∠D≅∠J, DE≅JK and ∠E≅∠K => ASA

B. LA

DE ≅ JK, ∠E≅∠K and ∠F≅∠L => the LA theorem.

E. AAS

∠E≅∠K, ∠F≅∠L, and DE≅JK.  => AAS.

The congruence theorems applicable in this case are SAS and AA.

To determine the congruence theorems or postulates that can be used to prove ADEF = AJKL based on the given information, we need to analyze the diagram.

From the diagram, we can see that sides AD and AK are congruent. This indicates that we can potentially use the SAS (Side-Angle-Side) congruence theorem to prove the triangles congruent.

Additionally, angles A and A are congruent, so we can also use the AA (Angle-Angle) congruence test. Therefore, the congruence theorems applicable in this case are SAS and AA.

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The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

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The numbers are 5, 5, 10, 10, 15

To find the value of x, we need to use the fact that the mean of the five numbers is 9. The mean is equal to the sum of all the numbers divided by the total number of numbers. In this case, we have:

(mean) = (sum of all numbers) / (total number of numbers)

We know the mean is 9, and there are 5 numbers, so we can write:

9 = (x + x + 2x + 2x + 3x) / 5

Simplifying the right-hand side, we get:

9 = 9x / 5

Multiplying both sides by 5, we get:

45 = 9x

Dividing both sides by 9, we get:

5 = x

So we now know that the first two numbers are both equal to 5. Using the ratio, we can find the values of the next two numbers:

2x = 2(5) = 10

So the third and fourth numbers are both equal to 10.

Finally, we can use the ratio to find the value of the fifth number:

3x = 3(5) = 15

So the five numbers are:

5, 5, 10, 10, 15

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The area of the regular hexagon is A = 166.28 cm²

Given data ,

Let the side length of the hexagon be a = 8 cm

Now , area of hexagon is A = ( 3√3/2 )a²

On simplifying , we get

A = ( 1.5 ) ( √3 ) ( 64 )

A = 96√3

The value of A = 96√3 cm²

On further simplification , we get

A = 166.28 cm²

Therefore , the value of A is A = 166.28 cm²

Hence , the area is A = 166.28 cm²

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Answer:

Step-by-step explanation:

It's given that, The base of a triangle is 1 cm more than the height

Let's assume height of the triangle be x and base of the triangle be 1 + x

Also the area of the triangle is 10 cm².

We know that area of triangle is calculated by,

Putting the values we get ,

[tex] \frac{1}{2} (1 + x) x = 10 \\ \\ (1 + x)x = 10 \times 2 \\ \\ {x}^{2} + x = 20 \\ \\ {x}^{2} + x - 20 = 0[/tex]

Further solving by factorisation,

[tex]x^2 + x-20 = 0 \\ \\ x^2 +5x-4x - 20 = 0 \\ \\ x(x+5)-4(x+5)= 0 \\ \\ (x-4) (x+5) = 0 \\ \\ (x-4) = 0 \: or \: (x+5)=0 \\ \\ { \underline{x= 4 \: or \: x = 5 }}[/tex]

Since value can't be negative.

So, x = 4.

Hence, height of triangle x = 4 cm

base of triangle = x + 1

= 4 + 1

= 5 cm

Therefore the Base of traingle will be 5 cm and Height of the triangle will be 4 cm.

Answer:

10.5 cubic feet

(10.5ft³)

Step-by-step explanation:

1.5 x 3.5 = 5.25

5.25 x 2 = 10.5ft³

The solution is:

⇒ 6b = 95.94   (equation to determine cost of one box)

cost of one box 'b' = $`15.99

⇒ 12t = 95.94   (equation to determine cost of per tile)

cost of one tile t = $0.7995.

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94

⇒     (equation to determine cost of one box)

⇒6b = 95.94

⇒b =15.99

Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t

⇒ (equation to determine cost of per tile)

⇒12t = 95.94

⇒t = 0.7995.

Thus cost of one tile t = $0.7995.

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The measurement of other two legs of the right triangle is 6.4 and 7.6.

Given is right triangle with hypotenuse equal to 10 units and an acute angle of 40°, we need to find the other two legs,

Here we will use the trigonometric ratios to find the legs,

Let 40° be the reference angle,

So,

Sin 40° = perpendicular / 10

Perpendicular = 6.4

Cos 40° = base / 10

Base = 7.6

Hence the measurement of other two legs of the right triangle is 6.4 and 7.6.

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Answer: $7,000.

Step-by-step explanation:

4% = 0.04. Multiply that by the sales price to calculate commission.

$175,000 x 0.04 = $7,000.

The blanks are filled using the concept of translation transformation  as follows

Parabola            Equation

Red                       y = x²

Blue                     y = x² + 3

Green                  y = (x - 3)²

Orange                y = x² - 3

Purple                  y = (x + 3)²

Applying translation the graphs are interpreted as follows

y = x²: the parent function

y = x² + 3: shift 3 units up

y = (x - 3)²: shift to the right 3 units

y = x² - 3: shift 3 units down

y = (x + 3)²: a shift 3 units to the left

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The ratios of the identities are;

sin R = 9/15

cos R = 12/15

tan R = 9/15

It is important that we note the different trigonometric identities and their corresponding ratios.

From the information given, we get;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the information given, we have the parameters given as;

Hypotenuse side = 15

Opposite side = 9

Adjacent side = 12

Now, substitute the values, we have;

sin R = 9/15

cos R = 12/15

tan R = 9/15

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1402800 is the number of people who would test positive for the virus

To find the probability for the number who tested positive we divide the positive cases between the total of the covid tests and then mutiply by 100.

P = (8,533/68,811) × 100

P = 12.400, the nearest hundredth of a percent is 12.

11690000 people who live in ohio and the testing results is that 12% of this people would test positive for the virus.

so we need to find percentage 12 for 11690000.

(11690000×12) / 100

Hence, 1402800 is the number of people who would test positive for the virus

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The state of Ohio conducted COVID 19 tests on 68,811 people, and 8,533 tested positive. (6 points)A. What is p for the number who tested positive (round to the nearest hundredth of a percent)?B. Based upon the testing results above, of the 11.69 million people who live in Ohio, what is the bestestimate for the number of people who would test positive for the virus?

Based on available research and studies, the answer is B: A higher percentage of millennials have at least $100,000 saved for retirement when comparing to Gen X.

According to a report from Fidelity Investments, 30% of millennials have saved at least $100,000 for retirement. In contrast, a 2019 study from the Transamerica Center for Retirement Studies found that 31% of Gen Xers have no retirement savings at all.

This suggests that the fraction of millennials with at least $100,000 saved for retirement is higher than the portion of Gen X people who have no retirement savings.

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The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

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Option (A) "Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y" is correct.

We have,

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have a statement:

Steps to construct an angle MNT congruent to angle PQR.

To construct an angle MNT congruent to angle PQR, the steps are as follows:

Step 1: Use a compass to draw an arc from point Q that intersects the side PQ at point A and the side QR at point B.

Step 2: Draw a segment NT, and use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.

Step 3: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.

Step 4: Join points N and Y using a straightedge.

Thus, option (A) "Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y" is correct.

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According to the given percentage,

The original price of the jacket was $64.

Jeremy surveyed 100 students for his math project.

If the jacket was on sale for 25% off, that means the price Linda paid was equal to 75% of the original price. We can set up an equation to represent this:

0.75x = 48

where x is the original price of the jacket. To solve for x, we divide both sides by 0.75:

x = 48 / 0.75

x = 64

If 18% of the students surveyed selected hamburgers, that means the remaining 82% did not select hamburgers. We can represent this with an equation:

0.18x + 0.82x = x

where x is the total number of students surveyed. The left-hand side of the equation represents the number of students who selected hamburgers (0.18x) plus the number who did not (0.82x), which must equal the total number surveyed (x).

Simplifying the equation, we get:

x = 100x / 100

Dividing both sides by 100, we get:

x = 1 / 0.01

x = 100

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Yes, the random, 10%, and large counts conditions are all met.

Here, the expected count of players who win a large prize is

np = 100 x 0.10

np = 10

and, the expected count of players who do not win a large prize is

n(1-p) = 100 x 0.90 = 90.

The second prerequisite is also satisfied because both of these anticipated counts are higher than or equal to 10.

The independence criteria is also satisfied if each player's outcome is independent of the results of the other players.

Therefore, Yes, the random, 10%, and large counts conditions are all met.

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A) For 99% confidence, the critical value (from the table) is approximately 2.576.

48 subjects are required for a 99% confidence level. (Round up to the nearest subject)

B) For 90% confidence, the critical value (from the table) is approximately 1.645.

19 subjects are required for a 90% confidence level. (Round up to the nearest subject)

C) Decreasing the confidence level decreases the sample size needed (option B).

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most usual, but other levels, such 90% or 99%, are occasionally used to generate a confidence range.

How to solve

z for 99%=2.58

z for 95%=1.96

a)sample size= [tex](z*s/E)^2=(2.58*12.6/4)^2=66[/tex]

b)sample size= [tex](z*s/E)^2=(1.96*12.6/4)^2=38[/tex]

decreasing the confidence level decreases the sample size required

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Answer:

A

Step-by-step explanation:

-4x²+7x+8=0

4x²-7x-8=0

a = 4, b = -7, c = - 8

x= (−b ± √b²−4ac) ÷ 2a

x= [ −(−7) ± √(−7)²−4(4)(−8) ] ÷ 2(4)

x = 7±√177

Hence,

x = 7+√177 and x = 7-√177

It has two solutions

The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

The triangle underwent the following operations:

As a result, while the dilation would only maintain the angles, the reflection would preserve both side lengths and angles.

Thus, Angles are preserved, but side lengths are not.

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The only function among the given options that has a rate of change that stays the same is Option A: y = -4x + 10.

In this context, a rate of change refers to how much the output of a function changes in response to a change in its input. The rate of change of a function is also known as the slope of its graph, which measures the steepness of the line connecting two points on the graph.

Now, let's look at the given functions and determine which one has a rate of change that stays the same.

The function y = -4x + 10 is a linear function, which means that its graph is a straight line.

The slope of a linear function is constant, which means that the rate of change of the function stays the same.

In this case, the slope is -4, which means that the output of the function decreases by 4 units for every 1 unit increase in its input.

Hence the correct option is (a).

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Answer:

d: (0, pi)

r: [-1/2, 1/2]

Step-by-step explanation:

Answer:

A) Angles 3 and 4 are complementary angles.