Can you do the verification of question d? The last one

Answer:

A

Step-by-step explanation:

2400/3= 800 800x8= 6400

Given dimensions of the room:

Length: \(\displaystyle\sf 12.5 \,m\)

Width: \(\displaystyle\sf 9 \,m\)

Height: \(\displaystyle\sf 7 \,m\)

Area of each wall:

\(\displaystyle\sf Area_1 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_2 = 12.5 \times 7 = 87.5 \,m^2\)

\(\displaystyle\sf Area_3 = 9 \times 7 = 63 \,m^2\)

\(\displaystyle\sf Area_4 = 9 \times 7 = 63 \,m^2\)

Area of each door:

\(\displaystyle\sf Area_{\text{door}} = 2.5 \times 1.2 = 3 \,m^2\)

Area of each window:

\(\displaystyle\sf Area_{\text{window}} = 1.5 \times 1 = 1.5 \,m^2\)

Total area occupied by doors:

\(\displaystyle\sf Total_{\text{doors}} = 2 \times Area_{\text{door}} = 2 \times 3 = 6 \,m^2\)

Total area occupied by windows:

\(\displaystyle\sf Total_{\text{windows}} = 4 \times Area_{\text{window}} = 4 \times 1.5 = 6 \,m^2\)

Total wall area excluding doors and windows:

\(\displaystyle\sf Total_{\text{wall\,area}} = (Area_1 + Area_2 + Area_3 + Area_4) - Total_{\text{doors}} - Total_{\text{windows}}\)

\(\displaystyle\sf = (87.5 + 87.5 + 63 + 63) - 6 - 6\)

\(\displaystyle\sf = 275 - 6 - 6\)

\(\displaystyle\sf = 263 \,m^2\)

Cost of painting the walls:

\(\displaystyle\sf Cost_{\text{painting}} = Total_{\text{wall\,area}} \times 3.50\)

\(\displaystyle\sf = 263 \times 3.50\)

\(\displaystyle\sf = 920.50 \,Rs\)

Therefore, the cost of painting the walls of the room at Rs. 3.50 per square meter is Rs. 920.50.

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Answer:

6/3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

Co-ordinates of the focus is; (0, -4)

Step-by-step explanation:

We are given;

Vertex at origin; (0, 0)

Equation of parabola; y = x²/4p

4p = -16

Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)

Now, from 4p = -16 we can find p

p = -16/4

p = -4

Thus coordinates of the focus is; (0, -4)

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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We would expect John to weigh approximately 216.4 pounds at the end of week 8.

To answer this question, we need to fit a regression model to the data to determine the relationship between the number of calories burned and John's weight. We can use linear regression to find the line of best fit that represents this relationship.

We can see that there is a negative relationship between the number of calories burned and John's weight, which is consistent with the statement that "the more someone exercises the less they will weigh." We can use linear regression to find the line of best fit that represents this relationship.

Using a linear regression model, we get the following equation:

Weight = 219.9 - 0.0007 * Exercise

We can use this equation to predict John's weight at the end of week 8 based on the number of calories he burned. Plugging in Exercise = 5000, we get:

Weight = 219.9 - 0.0007 * 5000

Weight = 216.4

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Answer:

Step-by-step explanation:

$120

Answer: 5

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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Answer:

200

Step-by-step explanation:

100 * 2 = 200

Answer:

200?

Step-by-step explanation:

Or is it something more complicated

Answer: x=3

Step-by-step explanation:

3(x+6)-10=17

3x+18-10=17

3x+8=17

3x=17-8

3x=9

x=3

9514 1404 393

Answer:

  a) 3

  b) 1

  c) y = 3x +1

Step-by-step explanation:

Given:

  A(1, 4), B(2, 7)

  m = (y2 -y1)/(x2 -x1)

Find:

  a) the slope of the line through these points

  b) the y-intercept of the line through these points

  c) the equation of the line through these points

Solution:

a) Using the given formula, the slope is ...

  m = (7 -4)/(2 -1) = 3/1 = 3 . . . the slope of the line

__

b) The y-intercept can be found from* ...

  b = y1 -m·x1

  b = 4 -3·1 = 1 . . . the y-intercept

__

c) The equation in slope-intercept form is ...

  y = mx +b

  y = 3x +1

_____

* This equation for the y-intercept is not one you see often. It can be derived from the point-slope form of the equation of a line:

  y -y1 = m(x -x1)

  y = mx -m·x1 + y1 = mx +b . . . . eliminate parentheses, add y1

  b = y1 -m·x1 . . . . . . . . solve for b

Answer:

  687, 688, 689, 690, ...

Step-by-step explanation:

Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...

  687, 688, 689, 690, ...

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Consecutive numbers are numbers that follow each other in order, with a difference of 1 between each number.

The concept of consecutive numbers has been studied since ancient times, and has been used in various mathematical problems and puzzles.

Consecutive numbers are also commonly used in algebra, where they can be used to set up equations to solve problems. For example, if you are asked to find the sum of the first n consecutive numbers, you can set up the equation (n/2)(2a + (n-1)) = sum, where a is the first number and sum is the total sum of the consecutive numbers.

In geometry, consecutive numbers are used to define polygons, such as triangles, quadrilaterals, pentagons, and so on. For example, a triangle consists of three consecutive vertices on a plane, while a quadrilateral consists of four consecutive vertices.

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Answer:

10

Step-by-step explanation:

Given expression:

                   20 - \(\frac{15 + 3(5)^{2} }{5^{2} - 4^{2} }\)

     To solve this problem, we use the order of operation:

P - Parentheses

E - exponents

M - multiplication

D - division

A - Addition

S - Subtraction

  Now solve the parentheses first;

     =   20 - \(\frac{15 + 3x 25}{5^{2} - 4^{2} }\)

     =    20 - \(\frac{15 + 75}{5^{2} - 4^{2} }\)

     Now solve the exponents:

    = 20 - \(\frac{15 + 75}{25 - 16}\)

    Now solve the division:

     = 20 - \(\frac{90}{9}\)

     = 20 - 10

     = 10

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Answer:

(x+2)^2

Because x^2+2*x*4+2^2

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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       A linear equation has the conventional form Ax+By=C. A slope-intercept form equation (y=mx+b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form. To relocate terms, use inverse operations.

 Linear equations come in three main types:

shape of a point-slope: y - y1 = m (x-x1)

typical form: Ax + By = c

Y = mx + b is the slope-intercept formula.

A linear equation with one variable is written in standard form as ax + b = 0, where a 0 and x is the variable. A linear equation with two variables is written as ax + by + c = 0, where the variables are a 0, b 0, x, and y.

A formula's initial sign is usually an equal sign (=).

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9514 1404 393

Answer:

  2xy^2

Step-by-step explanation:

The terms are "like" so can be combined. It might be helpful to think of this as an application of the distributive property.

  -3xy^2 +5xy^2 = (-3 +5)xy^2 = 2xy^2

Answer:

Choice D

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

3×4h equals 12h, and 3×2k equals 6k. Which is also known to be 12h+6k.

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;

Step-by-step explanation:

(24cm + 14cm + 25cm) 10 + 2 × 14

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