A and B are similar cuboids.
surface area of A: surface area of B = 16:2.
Work out
volume of A: volume of B

Answer:

f(x) = 0 on x= -1 and x = -2

Step-by-step explanation:

Given function is:

\(f(x) = x^2+3x+2\)

In order to find the value of x on which the function will have value zero we have to factorize the function and find zeroes of the function. The method used will be factorization of polynomial as the function is in polynomial form.

So,

\(x^2+3x+2\\=x^2+2x+x+2\\=x(x+2)+1(x+2)\\=(x+1)(x+2)\)

To find the zeroes, putting the function = 0

\(f(x) = 0\\(x+1)(x+2) = 0\\x+1 = 0\\x = -1\\x+2 = 0\\x= -2\)

Hence,

f(x) = 0 on x= -1 and x = -2

Answer:

10)

Domain: (-∞, ∞)

Range: (∞, 0)

11)

Domain: ( -∞, ∞)

Range: (0, ∞)

I'm not 100% sure this right.

Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Answer:

99

Step-by-step explanation:

A 41 B is a right angle triangle =90 add 41+90 =131 then subtract angle D = 32

so 131-32 = 99 answer I hope it helps u

The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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Answer: all but the first one because anything to the power of 0 is one and -1 is lower than 1

Answer:

B, C, D, E

Step-by-step explanation:

The percentage of drivers who are at least 45 is 62%

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

The table of values

From the table, we have

Age 45 = 62 percentile

When represented properly

So, we have

Age 45 = 62%

This means that the percentage of drivers who are at least 45 is 62%

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Answer:

a. Variables:

Let's define the variables for the problem:

t: time in minutes (the variable we are solving for)

h1: altitude of the descending airplane in feet

h2: altitude of the ascending airplane in feet

b. System of Equations:

Based on the given information, we can create a system of equations:

Equation 1: h1 = 59,400 - 3,000t (altitude of descending airplane)

Equation 2: h2 = 0 + 2,400t (altitude of ascending airplane)

c. Solving the System using Graphing:

To solve the system using graphing, we need to plot the two equations on a graph and find the point of intersection. Here's the graph:

[Graph]

From the graph, we can see that the two lines intersect at a point. The x-coordinate of the point of intersection represents the time (t), and the y-coordinate represents the altitude (h) where the two airplanes are at the same altitude.

d. Solving the System using Substitution or Elimination:

To check our graphing work, we can solve the system using either substitution or elimination. Let's use substitution:

From Equation 1: h1 = 59,400 - 3,000t

Substitute h1 into Equation 2:

59,400 - 3,000t = 2,400t

Add 3,000t to both sides:

59,400 = 5,400t

Divide both sides by 5,400:

t = 11

Now, substitute the value of t back into either Equation 1 or Equation 2 to find the altitude (h) at that time:

h1 = 59,400 - 3,000 * 11

h1 = 59,400 - 33,000

h1 = 26,400 feet

Therefore, the two airplanes will be at the same altitude of 26,400 feet after approximately 11 minutes.

Explanation of Methods:

Graphing: Graphing the equations provides a visual representation of the problem and helps identify the point of intersection. However, it may not provide an exact value, and the precision depends on the accuracy of the graph.

Substitution or Elimination: These algebraic methods allow for precise calculations and the exact determination of the time and altitude at which the airplanes meet. They require more steps and calculations but offer a more accurate solution.

In the context of the problem, the solution means that after approximately 11 minutes, both airplanes will be at the altitude of 26,400 feet. At this moment, the descending airplane will have descended to the same altitude as the ascending airplane is ascending, resulting in the two airplanes being at the same height above the ground.

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

3x + 4 = 13

X=3

Step-by-step explanation:

n×2=?

The n means 1 then. 1×2 series

1 × 2 = 2

Answer:

Greatest common factor (GCF) of 18 and 34 is 2.

Step-by-step explanation:

The common factors among the factors of 18 and 34 are 1 and 2 thus the greatest common factor will be 2 only.

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

Factors of 18 = 1,2,3,6,9 and 18

Factors of 34 = 1,2,17, and 34

Common factors = 1 , 2

Highest = 2

Hence "The common factors among the factors of 18 and 34 are 1 and 2 thus the greatest common factor will be 2 only".

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Answer:

y-6=2(x-5)

I hope this is good enough:

Given

Eliza had $14

Emma had $64 more than Eliza

Find

how much did Emma have

Explanation

as we have given

Eliza has $14

so , Emma = $64 + $14 = $78

Final Answer

Therefore , the Emma had $78

Answer:

x+6=y

Step-by-step explanation:

Answer:

the second one looks like it is correct

For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.

Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:

Add 5 to both sides to be: 3x < 12.

Then divide both sides by 3: x < 4.

So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.

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There are three area options for the number of bricks:

The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:

n = A / A'

A' = w · h

Where:

There are three possible answers:

Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm

A' = 22.5 · 10

A' = 225

n = 93750 / 225

n = 416.667

n = 416

Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm

A' = 22.5 · 7.5

A' = 168.75

n = 93750 / 168.75

n = 555.556

n = 555

Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm

A' = 10 · 7.5

A = 75

n = 93750 / 75

n = 1250

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Answer:

I think Dessicant

Step-by-step explanation:

i hope it helped you if I'm right :D

The graph of the system of inequalities is given below:

From here we notice that the solution of the system lies in the second and third quadrant. Therefore the answer is the last option.

Answer:

Step-by-step explanation:

Here you go mate

Step 1

9(x + 3)< 6x - 12  equation

Step 2

9(x + 3)< 6x - 12  simplify

3x+27<-12

Step 3

3x+27<-12  Simplify by adding and dividing

x<-13

Answer^

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:66 hours of video games in three weeks!

Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says  2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says  how many hours does mr.danie spend playing video games over 3 weeks,which bring you to 66!

I hope I helped!

9514 1404 393

Answer:

  8, 12

Step-by-step explanation:

The x-values of a function cannot repeat. That is, the x-values already in the table, {3, 6, 7, 9}, cannot be used again. Any added x-values must be different from these if your relation is to remain a function.

Of the choices offered, only 8 and 12 can be used for added x-values.

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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It is A) Slope: 2, y-intercept: -20

Answer:

8000

Step-by-step explanation:

Answer:

994

Step-by-step explanation:

We have the expression:

\((8+t)^3-6\)

And we want to evaluate it when t=2.

Hence, we will substitute 2 for t and evaluate. Therefore:

\(=(8+2)^3-6 \\\\ =(10)^3-6\\ \\ =1000-6\\\\=994\)

Therefore, our final answer is 994.