Isaac measured the time it took for some teams to complete an escape room game. He recorded their times in the table below. How many of the teams took less than 20minutes to complete the game? (Image: Image showing mathematical content for the question.)

Answer:Assuming that the number on the end of the number line is a 1 (I cant read it too clearly), this number line goes to 7/7ths so that means A would be 1/7th and B would be 4/7th

Step-by-step explanation: thats how Number lines work

The composite functions are (f · g) (x) = (x + 2)² and (f / g) (x) = 1, whose domains are all real numbers. The value of each function at x = 2 is listed below:

In this problem we must determine and analyze composite functions. Composite functions can be found by combining two simpler functions thanks to operators. There are four operators to make composite functions:

The domain of a function is the set of all possible of x-values.

First, we determine the two composite functions: f(x) = g(x) = x + 2.

Case A:  

(f · g) (x) = (x + 2)²

Case B:

(f / g) (x) = 1

Second, determine the domain for each case:

Case A:

All real numbers.

Case B:

All real numbers.

Third, evaluate each case at x = 2:

Case A:

(f · g) (2) = (2 + 2)² = 4² = 16

Case B:

(f / g) (2) = 1

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The total weight of all the cantaloupes that weigh more than 2 1 / 2 pounds is 8 2 / 4 lb ​.

As shown on the line plot, the number of cantaloupes with a higher mass than 2 1 / 2 pounds are those which have a weight of 2 3 / 4 pounds.

There are enough of them that when they are added up, we get the sum of 8 2 / 4 lb​ as the total mass of the cantaloupes. This can also be written in decimals as 8. 5 lb.

In conclusion, option D. is correct.

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- To answer a question about a sale transaction on rental property that closes on December 16, you need to calculate how much rent the landlord owes to the buyer for the remaining days of December.

- You can use a formula called prorated rent to calculate the amount of rent that is proportional to the number of days that the buyer owns the property. Prorated rent splits the amount between the previous and new owners of a rental property.

- The formula for prorated rent is: Prorated Rent = (Monthly Rent / Number of Days in Month) x Number of Days Rent Owed

- In your case, the monthly rent is $713, the number of days in December is 31, and the number of days rent owed is 16 (from December 16 to December 31). The closing day is the buyer's, so the landlord owes rent for that day as well.

- Plugging these values into the formula, you get: Prorated Rent = (713 / 31) x 16 = 368.26

- This means that the landlord owes $368.26 to the buyer for the remaining days of December.

I hope this helps you answer your question.

Note that where the above is given, the Standard Error is: 0.0322; while

The Value of the two-sample z-statistics p1-p2 = 6.048

To get the standard error, we can say

SE = √((p1  x  (1-p1)/ n1) + (p2  x (1-p2)/n2) )

Substituting....

SE = √((0.7122  x (1-0.7122)/403) + (0.4594  x (1-0.4594)/468))

SE = 0.03223785349

SE ≈ 0.0322

2) For the two-sample z-statistic formula:

z = (p1 - p2) / SE

Substituting values    ..........

z = (0.7122 - 0.4594) / 0.042

z = 6.048

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Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

If the question is asking you to add the two fraction you would need to follow these steps:

Step 1: find a common denominator (both of the number 20 in common

Step 2: add the numerators ( 7/20 + 1/20 would = 8/20 )

Step 3 simply the fraction ( 8/20 will be simplyed to 2/5)

Answer:

33/20

Step-by-step explanation:

First find the Least common denominator

Then you check how many times each denominator goes into de Least common denominator

After multiply the number you got when you checked for the times the denominator will go into the LCM with the numerator then simplify

Answer:

1375

Step-by-step explanation:

16*3*29 = 1392

1392-17 =1375

The values for e, f, and g are -3, 4 and -2 respectively.

e × f = -12

e × g = 6

f × g = -8

From (1)

ef = -12

e = -12/f

From (3)

fg = -8

g = -8/f

Substitute e and g into (2)

e × g = 6

-12/f × -8/f = 6

96/f² = 6

cross product

96 = f² × 6

96 = 6f²

divide both sides by 6

f² = 96/6

f² = 16

find the square root of both sides

f = √16

f = 4

Hence,

e × f = -12

e × 4 = -12

4e = -12

e = -12/4

e = -3

e × g = 6

-3 × g = 6

-3g = 6

g = 6/-3

g = -2

f × g = -8

4 × -2 = -8

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Answer:

3.2mm

Step-by-step explanation:

Answer:

3.2mm

Step-by-step explanation:

Transformation is a function that takes points on the plane and maps them to other points on the plane.

Transformations can be applied one after the other in a sequence where you use the image of the first transformation as the pre image for the next transformation.

Find the image for each sequence of transformations.

 Using geometry software, draw a triangle and label the

vertices A, B, and C. Then draw a point outside the

triangle and label it P.

Rotate △ABC 30° around point P and label the image as

△A′B′C ′. Then rotate △A′B′C ′ 45° around point P and

label the image as △A″B″C ″. Sketch your result.

 Make a conjecture regarding a single rotation that will map △ABC to △A″B″C″.

Check your conjecture, and describe what you did.

 Using geometry software, draw a triangle and label the

vertices D, E, and F.

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1. When people find themselves in an unfamiliar environment, it is common to feel vulnerable, lonely, and uncertain.

2. Globalization can change the mix of customers and products for an organization by creating new markets and opportunities for growth.

3. You can improve your GQ by practicing mindfulness and meditation

Businesses may need to concentrate on creating new goods and services that appeal to a global market as well as modifying their business models to satisfy the needs of clients in various regions of the world if they want to be leaders in the organization's future state.

In order for them to be more adaptable and receptive to changes in the global marketplace, they might also need to invest in technology and tactics.

Globalization can significantly impact an organization's mix of customers and products. The organization must adapt to this by investing in research and development to create new products.

By applying mindfulness, the GQ can be adequately raised for the organization.

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The bearing of C to A is 239⁰.

The bearing of C to A is calculated by finding the value of angle C using cosine rule since we know the value of all the sides of the triangle.

AB² = AC² + CB² - 2(AC)(CB) cosC

12.5² = 16.25² + 8.5² - 2(16.25 x 8.5) x cos C

156.25 = 336.3125 - 276.25cosC

276.25cosC = 180.06

cosC = 180.06/276.25

cos (C) = 0.6518

C = cos⁻(0.6518)

C = 49.3⁰

The value of angle A is calculated as follows;

Sin A/CB = Sin C/AB

sin A/8.5 = sin 49.3/12.5

sin A = 8.5 [sin 49.3/12.5]

sin A = 0.5157

A = sin⁻¹ (0.5157)

A = 31⁰

The bearing of C to A is calculated as;

= 270⁰ - 31⁰

= 239⁰

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The value of f(1) is 3.

An estimate of the value of f(-1) is -0.2.

The values of x for which f(x) = 1 are: x = (0, 3).

The value of x such that f(x) = 0 is x = -0.5.

The domain of f is {-2, 4}.

The range of f is {-1, 3}.

The interval over which f is increasing is {-2, 1}.

In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of the function shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-2, 4}.

Range = {-1, 3}.

In conclusion, we can logically deduce that this function is increasing over the [-2, 1] and decreasing over the interval [1, 4].

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Answer:

Colbie did not complete the square correctly.

Colbie failed to add the square of half the coefficient of the term in x to both sides of the equation. She only added 25 to the left side of the equation. She also factored x² + 10x + 25 incorrectly by using a subtraction sign in the binomial rather than an addition sign.

Step-by-step explanation:

Given quadratic equation:

[tex]2x^2+20x-48=0[/tex]

As the leading coefficient is not one, to complete the square we must first divide both sides of the equation by the leading coefficient, 2:

[tex]\dfrac{2x^2+20x-48}{2}=\dfrac{0}{2}[/tex]

[tex]x^2+10x-24=0[/tex]

Now move the constant to the right side of the equation by adding 24 to both sides of the equation:

[tex]\begin{array}{rcr}x^2+10x-24&=&0\\\vphantom{\dfrac12}+24 & &+24\\\cline{1-3}\vphantom{\dfrac12}x^2+10x\phantom{-24.}&=&24\end{array}[/tex]

We need to make the left side of the equation a perfect square trinomial. To do this, add the square of half the coefficient of the term in x to both sides of the equation.

The coefficient of the term in x is 10. Therefore, the square of half of this is 25:

[tex]\left(\dfrac{10}{2}\right)^2=5^2=25[/tex]

This is the point at which Colbie made her first mistake. She didn't add the square of half the coefficient of the term in x to both sides of the equation - she only added it to the left side.

Add 25 to both sides of the equation:

[tex]x^2+10x+25=24+25[/tex]

[tex]x^2+10x+25=49[/tex]

To continue to solve the equation, factor the perfect square trinomial on the left side of the equation:

[tex](x+5)^2=49[/tex]

↑ Colbie made her second mistake here. She factored x² + 10x + 25 incorrectly by using a subtraction sign in the binomial rather than an addition sign.

Square root both sides:

[tex]\sqrt{(x+5)^2}=\sqrt{49}[/tex]

[tex]x+5=\pm7[/tex]

Subtract 5 from both sides:

[tex]x+5-5=-5\pm7[/tex]

[tex]x=-5\pm7[/tex]

Therefore, the solutions are:

[tex]x=-5+7=2[/tex]

[tex]x=-5-7=-12[/tex]

An appropriate tip for a waiter at a restaurant is at least 15% of the total bill. For a tab of $20, the tip would be:

Tip amount = 15% of $20

Tip amount = 0.15 x $20

Tip amount = $3

Therefore, the total amount of money that should be left, including tip, is:

$20 (tab) + $3 (tip) = $23.

Step-by-step explanation:

The formula for the nth term of the geometric sequence is given as follows:

[tex]a_n = 7(-3)^{n - 1}[/tex]

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The formula for the nth term of the sequence is given as follows:

[tex]a_n = a_1q^{n-1}[/tex]

The first term of the sequence is given as follows:

[tex]a_1 = 7[/tex]

Each term is the previous term multiplied by -3, hence the common ratio is given as follows:

q = -3.

Thus the formula for the sequence is given as follows:

[tex]a_n = 7(-3)^{n - 1}[/tex]

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Answer:

There are 10 1/4 cups of water that fit inside a 2 1/2 cup water bottle.

To see why, note that 2 1/2 cups is equivalent to 10 quarter cups (2 x 4 = 8 and 8 + 2 = 10). Therefore, you can fill the water bottle with 10 1/4 cups of water.

Answer:

The answer is A.

A graph passes through a point if its equation is equal to the coordinate of this point. In this exemple:

5x+4y=8

we replace the variables with 4 and -3 (x with 4 and y with -3):

5(4)+4(-3)=8

20-12=8

8=8 so it passes.

NOW , for the slope:

slope = - 5/4 ( the equation is 5x+4y=8 , the cartesian equation is 5x+4y-8=0. THE cartesian equation with variables is ax+by+c=0) NOW this is linked with the slope bcz the slope is linked to the director vector (-b;a) that gives (-4;5), this is the director vector's formula that we're going to call U. THEN with this formula you get the slope: Y of U / X of U = 5/-4 = - 5/4 (bcz you dont leave the denominator with a negative sign).

THAT'S it thats the answer.

The step in simplifying the expression 3x/(x+5) - 3/(x+6) would result in 3x² + 18x - 3x - 15. The two terms that can be combined in the numerator to simplify are -3x and 18x. So, the correct answer is A), B) and D).

When multiplying the terms together in the first step of simplifying, we would get

3x - 3(x + 5)/(x + 6)

Simplifying this expression would lead to

3x² + 15x - 3x - 15/(x + 6)

Therefore, the answer is option (b): 3x² + 18x - 3x - 15

To simplify the numerator, we need to combine like terms.

To simplify the numerator, we need to combine like terms. The given expression is

3x² + 18x - 3x - 15

Here, the terms 18x and -3x have the same variable (x) and the same power (first power), but they have opposite signs. Therefore, we can combine them by subtracting the smaller value from the larger value. In this case, we have

18x - 3x = 15x

So, the expression simplifies to

3x² + 15x - 15

Therefore, the two terms that we would combine in the numerator to simplify are -3x and 18x, which give us 15x. So, the correct option is B) and D).

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Answer: B: cone with a height of 4 units and a radius of 3 units

Step-by-step explanation:

Surface Area: 9pi + 15pi = 24pi square units

Volume: 9pi x 4 x 1/3 = 12pi cubic units

Answer: False

Step-by-step explanation:

Counting up from 9, you get 10, 11, and 12. To get to 18 from 9 you would need to add 9.

The expected values are 60 blues, 30 reds and 30 greens

From the question, we have the following parameters that can be used in our computation:

6 blue cubes, 3 red cubes, and 3 green cubes

This means that we have the following proportions

Blue = 6/(6 + 3 + 3) = 1/2

Red = 3/(6 + 3 + 3) = 1/4

Green = 3/(6 + 3 + 3) = 1/4

If you draw a cube and replace it in the bag 120 times, we have

Blue = 1/2 * 120 = 60

Red = 1/4 * 120 = 30

Green = 1/4 * 120 = 30

Hence, the expected values are 60 blues, 30 reds and 30 greens

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The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.

We have the 4 functions as shown in the image attached.

The y - intercept is the point where the graph intercepts the y - axis.

Function [1] -

y = 4 + 2x

y - intercept is 4

Function [2] -

y = 5ˣ + 1

y - intercept is 2.

Function [3] -

the y-intercept is 1.

Function [4] -

the y - intercept is at -1.

Therefore, the greatest y-intercept is of function -

f(x) = 2x + 4

and the least y-intercept is of the function shown in graph [4] or function [4].

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Answer:

Carlos puts $3 into his bank account and it grows by 50% each year

f(x)=4^x+1

(The Table)

(The Graph)

The average reading time for the entire book club each day is 55 minutes

From the question, we have the following parameters that can be used in our computation:

The weighted average of the numbers is calculated as

Average = Product of numbers and weights/Sum of weights

So, we have

Average = (10 * 65 + 5 * 35)/15

Evaluate

Average = 55

Hence, the weighted average is 55

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Answer:

To answer the question, you first need to understand what a net is. A net is a two-dimensional diagram that can be folded to form a three-dimensional object. In the context of this question, a net represents the unfolded and flattened-out shape of a flower box before it is assembled.

To draw a net that represents a flower box, you need to imagine what the box would look like if it were flattened out and unfolded. You can start by drawing a rectangle for the bottom of the box. Then draw four rectangles that represent the sides of the box. Each of the side rectangles should be the same length as the length of the bottom rectangle, and the width of each side rectangle should be the same as the height of the box.

Next, you need to label the net to indicate which sides will be connected to form the box. Label the edges of the rectangles with the corresponding letter to show how the box will be assembled. For example, label the top edge of the bottom rectangle as "A" and the bottom edge of one of the side rectangles as "B". Then, label the side edges of the side rectangle as "C" and "D".

To find the amount of material George needs for each box, you need to calculate the total surface area of the net. The surface area represents the amount of material needed to cover the entire box. You can find the surface area by calculating the area of each rectangle and adding them together.

In this case, the bottom rectangle has an area of 16 square inches, and each of the four side rectangles has an area of 8 square inches. Therefore, the total surface area of the net is:

16 + 4(8) = 48 square inches

This means that George needs 48 square inches of material to make one flower box.

You drew the net the way you did because it represents the flattened-out and unfolded shape of the flower box before it is assembled. Labeling the edges and rectangles helps to visualize how the box will be assembled and allows you to calculate the surface area needed to cover the entire box.  

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