Tim thinks the solution is -18 + 7 = -25. Edward thinks the solution is -18 + 7 = -11.
Who is correct?

Answer:

Step-by-step explanation:

9gb/15s=0.6gb/s

32gb/80s=0.4gb/s

DeAndre laptop is faster.

wow his computer is  really fast

We have that  The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

From the question we are told that

9 GB (gigabyte) file in 15 seconds.

Cheryl’s laptop 80 seconds to download a 32 GB file.

Generally the equation for the   is mathematically given as

The rate of transfer for DeAndre’s is

X=\frac{9}{15}

X=0.6GB/s

The rate of transfer for Cheryl’s

\(Y=\frac{32}{80}\\\\Y=0.4GB/s\)

Therefore

The laptop that downloads files at a faster rate is  Cheryl’s laptop

Y=0.4GB/s

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Answer:

qs,wdnfm.ew fw v

Step-by-step explanation:

wdmc vw.mv / n,v

Answer: 20%

Step-by-step explanation: 2 is 20% of 10, so 12 dollars is a 20% increase from 10 dollars

The angles are 28° and 62°.

It should be noted that perpendicular angles equal to 90°.

Therefore, that value of x will be calculated thus:

(x + 5) + (3x - 7) = 90°

4x - 2 = 90°

4x = 90° + 2°

4x = 92°

x = 92/4

x = 23°

(x + 5) = 23° + 5 = 28°

(3x - 7) = 3(23) - 7 = 62°

Therefore, the angles are 28° and 62°.

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Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Answer:

y = (-3x/5) +1

Step-by-step explanation:

We know that the line passes through the point (-5 , 4)

AND

the slope is given to be -3/5

let's look at the slope a bit more

we know that the formula for slope of a line is Rise / Run

Which means that the rise of this line is -3 after spanning 5 units to the right

Hence, the line goes down 3 units after moving 5 units to the right

We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line

since we are already given the slope, we need to find the point where the line intersects the y-axis

Now, back to the given point the line passes through

this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards

So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3

Hence, the y-intercept will be 3 units below the given y -coordinate

y - intercept = (4 - 3) =  1 = y-intercept

Now, using the slope-intercept formula to get the equation:

y =  (slope)*x + (y-intercept )

y = (-3/5)x + (1)

y = (-3x/5) + 1

Answer:

82.125 cubic feet.

Step-by-step explanation:

To find the difference in volume of two cubed-shaped storage units with side lengths of 3.5 feet and 5 feet, you can first find the volume of each storage unit using the formula for the volume of a cube:

Volume = s^3

Where s is the side length of the cube.

The volume of the first storage unit with a side length of 3.5 feet is:

Volume = 3.5^3

= 3.5 * 3.5 * 3.5

= 42.875 cubic feet

The volume of the second storage unit with a side length of 5 feet is:

Volume = 5^3

= 5 * 5 * 5

= 125 cubic feet

To find the difference in volume of the two storage units, you can subtract the volume of the first storage unit from the volume of the second storage unit:

Difference in volume = 125 cubic feet - 42.875 cubic feet

= 82.125 cubic feet

Therefore, the difference in volume of the two storage units is 82.125 cubic feet.

The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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The complete version of the given two columns prove is as follows;

It follows from the task content that; the given statement is; FG / FH = KJ / KH.

However, recall that; The reflexive property of congruence shows that any geometric element is congruent to itself.

Hence; <H ~ <H.

Ultimately, it follows from the SAS Similarity theorem that since the ratio of corresponding sides of both Triangles are equal and the included angle in both triangles are congruent, the two Triangles are similar triangles.

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Answer:

Step-by-step explanation:

The unknown is 5 I.e

1+5 = 6

5 + 5 = 10

8 + 5 = 13

Then n + 5

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

y=2b+4s

Step-by-step explanation:

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Therefore, the proportion is: 3 feet / 1 yard = 12 feet / 4 yards = 3/1 = 12/4

Alternatively, we can simplify the proportion by dividing both the numerator and denominator of the second fraction by 4:

Cost refers to the amount of money or resources that must be expended to produce or obtain a good or service. It represents the total expenditure incurred by a business or individual in order to acquire or produce a product or service. The cost of a product or service may include expenses such as materials, labor, overhead, transportation, and other associated costs. In business, cost is an important factor to consider when determining the price of a product or service, as well as in making decisions regarding production, investments, and resource allocation.

To find out how many decorations can be bought with $25.21, we need to divide the budget by the cost of each decoration:

Number of decorations = budget / cost per decoration

Number of decorations = $25.21 / $34.43/decoration

Number of decorations = 0.73 (rounded to two decimal places)

Therefore, Layla can only afford to buy 0.73 decorations with her budget. Since you cannot buy a fraction of a decoration, the answer would be zero decorations that can be bought with the given budget.

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The possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

In this question we have been given that 3 -letter words' are formed using the letters a, b, c, d, e, f, g.

We need to find the possible number of 3 -letter words that can be formed with given conditions.

(a) No condition is imposed.

the possible number of 3 letters words would be,

7³ = 343

(b) No letter can be repeated in a word.

Using the formula of Permutation,

^{7}P_3 = 7!/(7 - 3)!

             = 210    

(c) Each word must begin with the letter a.  

If each word begins with letter 'a' there would be possible combinations of remaining 6 letters at 2nd and 3rd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(d) The letter c must be at the end.

If each word ends with letter c there would be possible combinations of remaining 6 letters at 1st and 2nd position of 3-letter word.

So, the possible number of 3 letters words would be,

7² = 49  

(e) The second letter must be a vowel.

In the 3 letter word, the second letter must be vowel which is either a or e.

So, the possible number of 3 letters words would be,

49 + 49 = 98

Therefore, the possible number of words would be (a) No condition is imposed: 343

(b) No letter can be repeated in a word: 210

(c) Each word must begin with the letter 'a' : 49  

(d) The letter 'c' must be at the end: 49

(e) The second letter must be a vowel: 98

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The complete question is:

3 -letter words'' are formed using the letters a, b, c, d, e, f, g. How many such words are possible for each of the following conditions?

(a) No condition is imposed.

(b) No letter can be repeated in a word.

(c) Each word must begin with the letter a.

(d) The letter c must be at the end.

(e) The second letter must be a vowel.

Answer:

-1.683

Step-by-step explanation:

Given :

Group 1 :

x1 = 667 ; n1 = 10 ; s1 = 20

Group 2 :

x2 = 679 ; n2 = 14 ; s2 = 15

The test statistic assuming equal variance :

x1 - x2 / √[Sp² * (1/n1 + 1/n2)]

sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)

Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59

Test statistic =

(667 - 679)/ √[296.59 * (1/10 + 1/14)]

-12 / 7.1304978

Test statistic = - 1.682

Answer:

a laboratory technician needs to make a 90% liter batch of a 20% acid solution. How can the laboratory technician combine batch of an acid solution that is pure acid with another that that is 10% to get the desired concentration.

a laboratory technician needs to make a 90 liter batch of a 20% acid solution.

How can the laboratory technician combine batch of an acid solution that is pure acid with another that that is 10% to get the desired concentration

:

Let x = amt of pure acid

the result is to be 90 liters, therefore

(90-x) = amt of 10% solution required

:

.10(90-x) + x = .20(90)

9 - .1x + x = 18

.9x = 18 - 9

.9x = 9

x = 9/.9

x = 10 liters of pure acid required

then

90 - 10 = 80 liters of the 10% solution required

:

:

See if that checks out

.10(80) + 10 = .20(90)

8 + 10 = 18; confirms our answer

Answer:

Angle b is 15 measure the scale

Answer:

81 days

Step-by-step explanation:

Formula to solve this type of equation \(t=\frac{k}{p}\)

t is time

k is a constant

p is people

We must substitute the values into the equation

\(54=\frac{k}{9}\)

\(k=486\)

Now we must substitute it to find the time

\(t=\frac{486}{6}\)

you get 81

It would take \(6\) builders  \(36\) days to complete the same house.

Builders are those person whose job is to build or repair houses and other buildings.

We have,

\(9\) builders take \(54\) days to complete a house.

So,

\(1\)  builder will take  \((\frac{54}{9})\)  days to complete a house,

In the same way,

\(6\)  builder will take  \((\frac{54}{9}*6)\)  days to complete a house,

i.e.

\(6\)  builder   \(=(\frac{54}{9}*6)= 36\) days.

Hence, we can say that it would take \(6\) builders  \(36\) days to complete the same house.

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The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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The number of 100 dollar bills in one billion dollars  is 10 million hundreds or 70,900 hundred dollar bills.

To find the number of 100 dollar bills in one billion dollars, we can use the following steps:

First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,

we can divide one billion by 100 to get the number of hundreds

\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)

So one billion dollars is equal to 10 million hundreds.

Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)

The volume of one hundred dollar bill is approximately 0.00709 cubic inches.

Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)

Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

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The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

Answer:

  (b)  33

Step-by-step explanation:

The side opposite x° and the hypotenuse are given. That means the relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 6/11

The value of the angle is found using the inverse sine function:

  x° = arcsin(6/11) ≈ 33.056°

  x ≈ 33

_____

Additional comment

If you recall, the side length ratios of the "special" 30°-60°-90° triangle are 1:√3:2. Here, you have a shortest:longest side ratio that is 6:11 ≈ 6:12 = 1:2. This means the angle will be only slightly greater than 30°.

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

YES:  All four conditions in BINS have been satisfied.

Step-by-step explanation:

Check out the BINS conditions:

1.  Is the number of trials a positive integer?  YES

2. Is the experiment binary:  either PASS or FAIL?  YES

3.  Is the probability of success given and in the range 0<p<1?  YES

4.  Are the outcomes independent?  YES

YES:  All four conditions in BINS have been satisfied.

Answer:

A on edge 2202

Step-by-step explanation:

Answer:

you can see when you put x = -3 you get 0 for g(x)

so we can write g(x) = 3+x because if we put x to be -3 in this equation you get 0.

a. h(0) = f(0)g(0), g(0) = 3+0= 3

h(0) = f(0)x3, now In the graph f(x) we can see at x=0, y is -1.

now h(0) = -1x3 = -3 (answer)

b. (-infinity, +infinity) or (-2, inf) I'm not sure.

c. values that yeild h(x)=0 are; -3, 3, -1.

Answer:

An exponential function is written in the form of f(x) = a (b)x. When we want to find an initial value of 500, it means that when x = 0, then y must equal 500. So, you plug in 0 to x in the exponential function, which leaves you with f(0) = a. Then, since f(0) = 500, that means a = 500

Hope this will help! =)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Add 5 and 3

-Lexi

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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