A surveyor needs to measure the distance, AB, across the lake. Beginning at E, he locates the midpoint, C, of AE and
the midpoint, D, of BE. He then measures CD. What is AB?
AB= m
4
49 m

Answer:

x + y = 18

Step-by-step explanation:

simply transfer the variable 'x' to the other side of the equation. hope this helps you :)

radius = 4 units

Volume of cylinder, = 401.92 unit³

Volume of cone =133.97 unit³

Volume of sphere, =803.84 unit³

Volume is the amount of space in a certain 3D object

Given:

d= 8 units

r= 4 units

h= 8 units

radius = 4 units

Volume of cone,

= 1/3πr²h

=1/3*3.14*4*4*8

=133.97 unit³

Volume of cylinder,

= πr²h

=3.14*4*4*8

= 401.92 unit³

Volume of sphere,

= 4/3 πr³

=4/3*3.14*4*4*4

=803.84 unit³

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Answer:

If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!

Step-by-step explanation:

The method that determines the volume of the prism is simply multiply the area of the base by the height, and the result is 12.5 cm³. (option-a)

To determine the volume of the prism shown in the diagram, we need to multiply the area of the base by the height.

The base of the prism is a rectangle with dimensions 5 cm by 2 cm. Therefore, the area of the base is:

A = length x width = 5 cm x 2 cm = 10 cm²

The height of the prism is 2-¹ cm, which is equivalent to 5/4 cm.

Therefore, the volume of the prism is:

V = A x h = 10 cm² x 5/4 cm = 12.5 cm³

The expressions involving unit cubes and one-quarter cubes are not relevant to this problem and do not provide a method for finding the volume of the prism.

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Answer:

x=9/13

Step-by-step explanation:

9/13x26= 18

18/3=6

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

In order to go from one form to another, all you have to do is change the order of the given numbers.  First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it.  At this point your equation will be set up By = -Ax + C.  Then you want to divide the B from the By and the rest of the equation.  Therefore you will have y = - Ax/B + C/B.  This is the same thing as the slope-intercept form, just a few of the letters are different.

8x + 4y = 16

8x + 4y = 16  first subtract  8x

4y = -8x + 16   then divide all by 4

y = -2x + 4   slope form

The Alternative Learning System (ALS) is a program in the Philippines that provides an alternative means of education to those who have not had the opportunity to complete formal schooling.

The program was created to address the issue of high dropout rates, particularly among disadvantaged and marginalized groups.

ALS offers a flexible learning approach that allows students to learn at their own pace, in their own time, and in their own preferred learning environment.

The program covers basic education subjects such as mathematics, science, social studies, and language arts, as well as technical-vocational skills and livelihood training.

One of the main features of ALS is the Recognition of Prior Learning (RPL), which allows students to earn credit for the knowledge and skills they have acquired outside of formal schooling.

This means that students who have already gained knowledge and skills through work experience, apprenticeships, or informal learning can have their prior learning recognized and receive credit towards earning a certificate or diploma.

ALS also provides opportunities for continuing education and career development, allowing students to pursue higher education or vocational training and gain employment or start their own businesses.

The program has been successful in providing access to education for those who have been marginalized and excluded from the formal education system.

It has helped individuals improve their lives by providing them with the knowledge and skills needed to succeed in their chosen careers, and has contributed to the overall development of the Philippines by creating a more skilled and educated workforce.

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Answer:

Step-by-step explanation:

(b) The given line is in standard form, so the equation you want will be similar, but with a different right-side constant. That constant is found by putting the coordinates of the given point into the left-side expression.

  x + 2y = constant

  (-3) +2(6) = constant = 9

The standard form equation of the parallel line is x +2y = 9.

__

(a) To put this equation in slope-intercept form, solve for y.

  2y = -x +9

  y = (-1/2)x +9/2

The slope of the line according to the graph will be -2 which is denoted by m.

What is slope?

The ratio of how much y grows as x grows by a certain amount is known as slope of line. The slope of a line tells  how steep it is, or how much y rises as x rises. Everywhere along the line, the slope remains constant (the same).

What is slope formaulae?

the slope of line is denoted by m.

              m=(y2-y1)/(x2-x1)

The points on the graph are (x1,y1)=(3/2,0)

                                                (x2,y2)=(0,3)

According to the formulae,

                                slope(m)=(y2-y1)/(x2-x1)

                 substitute the values above

                                      =>(3-0)/(0-3/2)

                                     =>3/(-3/2)

                                       =>-2

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The critical value is Z = 2.331. The rejection region is Z > 2.33

What is meant by critical value?

A critical value is a value used in hypothesis testing to determine whether to reject or fail to reject the null hypothesis.

What is meant by rejection region?

The rejection region is the set of values that lead to the rejection of the null hypothesis in favor of the alternative hypothesis.

According to the given information

To find the critical value(s) and rejection region(s) for a right-tailed z-test with level of significance x = 0.01, we can use the following formula1:

Critical value: Z = Zα where α = x and Zα is the Z-score that corresponds to an area of α in the standard normal distribution table

Rejection region: Z > Zα

For a right-tailed test with α = 0.01, we can find the critical value using a standard normal distribution table1. The critical value is Z = 2.331. The rejection region is Z > 2.33

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Answer: 2.18- .3= 1.88

Step-by-step explanation:

Answer:

The answer is 7d < -6

Step-by-step explanation:

3d-8<4d+2

3d+4d<-8+2

7d<-6

Answer:

6

Step-by-step explanation:

10x=36+4x

6x=36

x=6

All the quadratic equation solution is done using general formula is true statement.

And the solution of quadratic equation is given by real number is false because it may have complex roots.

Every quadratic equation can be solved with the general formula.

This is true.

The general formula for solving a quadratic equation of the form

ax² + bx + c = 0 is equal to,

x = [-b ± √(b² - 4ac)] / 2a

This formula can be used to find the solutions to any quadratic equation.

Quadratic equations do not always have a solution in real numbers.

There are other types of solutions.

This is known as having complex roots.

For example, the equation x² + 1 = 0 has no real solutions.

Since the square of any real number is positive and cannot equal -1.

However, it does have complex solutions, which involve the imaginary unit i that is  i = √(-1).

The solutions to x² + 1 = 0 are x = i and x = -i, both of which are complex numbers.

Therefore, the quadratic equation solved using general formula is true while quadratic equation have real solution is false as it may have complex roots.

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To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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The probability that the employee has worked at the store for over 9 years is 0.9236.

Probability is the quality or state of being probable; the extent to which something is likely to happen or be the case. In the domain of statistics, for normally distributed data one can leverage the the empirical relationship between z-scores and probability value to figure out the likelihood for any raw scores. the population average and standard deviation can be used to determine the z-score for any raw score.

According to the question,

mean population = 6.7

standard deviation for population = 1.8

raw score = 9

the z-score or z value is given by,

z = (raw score-mean population)/standard deviation for population

z = (9-6.7)/1.6

z = 2.3/1.6

z = 1.43

Empirically, from the z-score distribution table for a normally distributed data, the probability that a cashier selected at random has worked at the store for over 9 years ( that is P(z-score>1.43)) is 0.9236.

Therefore, we can conclude that the probability that the employee has worked at the store for over 9 years is 0.9236.

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Answer: -2.4x-3

Step-by-step explanation:

Answer:

The seats in the lower section are x= 1720 , in the upper section are 3x= 5160 and y=24,200 - 4x= 24,200 - 6880= 17320 tickets in the field.

Step-by-step explanation:

Let x represent the number of seats in the lower section then the number of seats in the upper section is 3x and y the number of seats in the field.

The equation can be written as

80x + 60 (3x) + 40 y= $1,140,000-----1

And x+ 3x+ y= 24,200------2

4x+ y= 24,200

or y= 24,200-4x----3

Solving Eq 1

80x + 180x + 40 y= $1,140,000

260x+ 40 y=$1,140,000-----4

Putting Eq 3 in Eq 4

260x+ 40 y=$1,140,000

260x+ 40(24,200-4x-)=$1,140,000

260x + 968,000- 160x= $1,140,000

100x= $1,140,000-968,000

100x= 172,000

x= 1720

The seats in the lower section are x= 1720 , in the upper section are 3x= 5160 and y=24,200 - 4x= 24,200 - 6880= 17320 tickets in the field.

Putting the values of x and y in Eq 1 we get the same revenue.

80x + 60 (3x) + 40 y= $1,140,000

80(1720) + 60 (5160) + 40( 17320)= $1,140,000

137600 + 309600 + 692800= $1,140,000

137600 + 1002400= $1,140,000

The total number of seats in the upper section is 5160, in the lower section is 1720 and the total number of seats in the field is 17320.

Given :

The following steps can be used in order to determine the total number of seats in each section:

Step 1 - In the lower section let the total number of seats be 'x'. So according to the given data, in the upper field, the total number of seats is '3x'. Now, let the total number of seats in the field be 'y'.

Step 2 - The linear equation that represents total revenue from the tickets.

\(\rm 80x + 60(3x)+40y = 1140000\)

260x + 40y = 1140000    --- (1)

Step 3 - The linear equation that represents the total number of tickets is:

x + 3x + y = 24200

y = 24200 - 4x     --- (2)

Step 4 - Substitute the value of y in equation (1).

260x + 40(24200 - 4x) = 1140000

x = 1720 tickets

Step 5 - Substitute the value of 'x' in equation (2).

y = 24200 - 4(1720)

y = 17320 tickets

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Answer:

5 = $ 5.25.    10= $ 6.50.   20= $9.00

Step-by-step explanation:

if this is wrong you can completely write me a really rude email or message or something

Answer:

B. 40

Step-by-step explanation:

you would multiply 5 and 320 and then do the square root of the number

The variable y varies directly with x and the equation is y = 1.6x

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

x y

4 6.4

7. 11.2

10 16

13. 20.8

From the table above, we can see that;

The y values is 1.6 multiplied by the x values

This implies that the equation is a direct variation

So, we have the equation to be

y = 1.6x

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The inequality in slope - intercept form is,

⇒ y ≤ x + 5

We have to given that;

The graph of the inequality is shown in image.

Let two points on the line is,

⇒ (- 5, 0) and (0, 5)

Hence, The equation of line is,

⇒ y - 0 = (5 - 0) / (0 + 5) (x + 5)

⇒ y = x + 5

Thus, The inequality in slope - intercept form is,

⇒ y ≤ x + 5

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The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

------------------

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.