Scale up or scale down to determine each unknown quantity.
2 teachers = 8 teachers
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26 students. ?

Answer:Which number line shows the solution to 2/3x-5>3? 1; 3; 566. Candace

Step-by-step explanation:

Answer:

Step-by-step explanation:

help

Answer: 9/4

Step-by-step explanation:

Reciprocal means flip the fraction

The reciprocal of 4/9  is  9/4

Answer: the rciprocal is 9/4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

divide 28 by 7 giving you 4 then multiple that by 3

Answer:

B. 21

Step-by-step explanation:

7 ×3=21

hope this helps

Answer:

Okay...

Step-by-step explanation:

Step-by-step explanation:

kkķkkkkkkkkklklllllllllllll

The only solution to the given logarithmic equation is x = 4.

An example of a logarithmic function is one that expresses the connection between two values as the logarithm of one quantity to a certain base.

A logarithmic function's basic form is:

f(x)=log base b (x)

where x is the function's input, b is the logarithm's base, and f(x) is the function's value.

We can solve the logarithmic equation step by step as follows:

log₂[log₂ (√4x)] = 1

First, we simplify the expression inside the logarithm:

log₂[log₂ (√4x)] = 1

log₂[log₂ (2√x)] = 1

Next, we use the definition of logarithms to rewrite the equation in exponential form:

log₂ (2√x) = 2¹ = 2

2√x = 2² = 4

√x = 2

x = 4

Thus, the solution is x=4.

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Answer:

• let the number be x

• Mathematical interpretation and manipulation of the above statement:

\( \hookrightarrow \: { \tt{13 - 3x = 5 + x}}\)

• solve and simplify:

\({ \tt{x + 3x = 13 - 5}} \\ \\ { \tt{4x = 8}} \\ \\ \dashrightarrow \: { \boxed{ \rm{ \: x = 2 \: }}}\)

Answer: The number is 2

e. Hourly rate = $975.84 / 38 = $25.68

f. Overtime rate = $25.68 * 1.5 = $38.52

g. Earnings (4 hours OT) = $38.52 * 4 = $154.08

h. Overtime hours = ($1226.22 - $975.84) / $38.52 ≈ 6.5 hours

Begin by determining the number of overtime hours worked by evaluating the discrepancy between his weekly salary and his regular wage:

Take note that the difference = $250.38, specifically from a calculation derived by subtracting $975.84 from $1226.22.

Next, divide this incongruity by his rate of pay for working overtime to establish the actual quantity of time augmented:

Upon performing our overall assessment with $38.52 as the hourly short-term remuneration rate towards supplementing regular pay projections, we determine roughly 6.5 additional work hours incrementally added onto one's overall timesheet.

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Answer:  h^-1(-4)= -2

Step-by-step explanation:

The congruent reason for the triangles is (b) HL theorem

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

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer:

Step-by-step explanation:

Because calfornia is right next to Ocean

Answer:

600 hives

Step-by-step explanation:

If 30 is 5% of the total number of hives Joshua has, then 5%x20=100%

So, 30x20=100%

      30x20=600

hope it helped :)

False, because the determinant of a triangular matrix is the product of the entries along the main diagonal.

What is cofactor expansion?

The Laplace expansion, also known as the cofactor expansion in linear algebra, expresses the determinant of a n n matrix B as a weighted sum of minors. It is named after Pierre-Simon Laplace.

a. The correct answer is A: True, because cofactor expansion across a row adds each of the cofactors together. Cofactor expansion down a column subtracts each cofactor from one another. This causes the two cofactor expansions to have opposite signs.

To see why this is true, let's consider an example.

Let A be the 3x3 matrix:

   \(size(8cm); \\real\ ticklen=3;\\ pen\ axispen=black+1.3bp; \\pen \ gridpen=gray(0.22);\\ pen\ tickpen=black+0.8bp;\\ pen \ ticklabelpen=black;\\ pen\ vectorpen=black;\\ x\ axis(extend)=true\)

The determinant of A can be computed using cofactor expansion along the first row:

det A = 2 * C_{12} - 3 * C_{13} + 4 * C_{14}

= 2 * (-6) - 3 * (5) + 4 * (-4)

= -12 - 15 + 16

= -11

Alternatively, we can compute the determinant using cofactor expansion down the first column:

det A = 8 * C_{21} - 5 * C_{31} + 2 * C_{41}

= 8 * (-6) - 5 * (5) + 2 * (-4)

= -48 + 25 -8

= -31

b. For part b,

The correct answer is C: False, because the determinant of a triangular matrix is the product of the entries along the main diagonal.

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Answer:

y = 5x - 6

Step-by-step explanation:

1. In a linear equation, it is represented by y = mx + b

2. A line parallel to another has the same slope (m) but a different y-intercept (b)

3. So we know that it is y = 5x as the first half. However, we need to find the new y-intercept.

4. Let's plug in the point we know into the equation, and see what amount we are missing (the y-intercept)

5. y = 5(3)

6. y = 15, however, we know that y = 9. That's a difference of -6.

This shows us that the y-intercept is -6 making the full equation:

y = 5x - 6

We can check by putting the point back into the equation:

y = 5(3) - 6

y = 15 - 6

y = 9

This correlates with the original point, we have solved the equation.

For the red line:

For the blue line:

Therefore, they have the same roc

Step-by-step explanation:

on Monday:340ML

on Tuesday:1.5L

total millilitres?so we have to get the to get the total of water in Millilitres (ML)

step 2:we have to convert the 1.5L to ML

we know 1L=1000ML

and 1000ML=1ML

so 1.5L =1500ml

Step 3

340 +1500=1840ML

We had written an algorithm, using pseudo code.

//Define the required variables.

total_number_of_steps = 0

number_of_steps = 0

//robot stands up to walk.

stand

//the robot moves forward till the wall is not reached.

while (wall is not reached)

//the robot senses the wall with the help of arms.

raise arms

sense_the_wall

if (wall is not there)

//if the wall is not found, the robot lowers the arms

lower arms

//if wall is not detected, the robot moves forward.

step_forward

//increment the number of steps forward.

number_of_steps=number_of_steps+1

//increment the total number of steps.

total_number_of_steps=total_number_of_steps+1

else

exit

end if

end while

//else if the wall is found, lower the arms

lower arms

//the robot turns 90 degrees right once.

turn_right_90

//the robot turns 90 degrees right again.

turn_right_90

//till the number of steps does not reach 0, move

for (number_of_steps! = 0)

step

//increment the total number of steps.

total_number_of_steps=total_number_of_steps+1

//the robot moves backwards on detecting the wall, so

//decrement the number of steps.

number_of_steps = number_of_steps-1

//end the for loop.

end for

//the robot turns 90 degrees left once.

turn

//the robot turns 90 degrees left again.

turn

//the robot sits down.

sit

//display the total number of steps taken by robot

display total_number_of_steps

The last line ends the pseudocode

Stop

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Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

10 cm

Step-by-step explanation:

Because it is a parrallogram and by its property it will be 10

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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Answer: 61 degrees

Step-by-step explanation:

A triangle has an internal angle sum of 180. So subtract 67 and 52, and you get x which is 61 degrees.

Answer:

D

Step-by-step explanation: for p(x), the slope from 0 to 3 is 30, meaning if linear every time x increases by 3, the y value should as well, meaning that six as an x value to be linear should have been 90, but it was not.

For q(x), the slope from 0 to 3 is 90, and following the same thing from above, this means for every 3 units moved on the x, it should increase by 90 units on the y. This means 6 to be linear should have been 200 but instead was 380 making it also nonlinear

Answer:

See diagram below.

====================================================

Explanation:

Start at the lower left corner of the entire figure. Move 20 ft directly to the right until reach the end of the driveway at the bottom. Now move 10 ft up so you reach the other side of the driveway (the 26 ft side). In the process of moving 10 ft up, mark a new line segment. I've done so in red in the diagram below.

I've also drawn a green box. The red line and green box form a shape of a flag on a flagpole. The pole being 10 ft tall and the green box (flag) is a 6 by 3 rectangle. The 6 is from 26-20 = 6 and the 3 is from 10-7 = 3. Note how I'm subtracting the opposite side values to help figure out the dimensions of this green box.

The 10 ft by 20 ft portion of the driveway is 10*20 = 200 square feet. The green box adds on another 18 sq ft because 6*3 = 18. In all, we have 200+18 = 218 square feet for the driveway.

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

If you want to know the area of the garden, then we first compute the overall area of everything shown. That's 32*14 = 448 square feet. Subtract off the driveway's area to get 448-218 = 230. Therefore, the garden's area is 230 square feet.

Answer:

.......

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Take half of b (6/2=3)

Square it (3^2=9)

The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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Answer:

I will give you the explanation, figure out the answer.

Step-by-step explanation:

For this expression, you need to distribute 27 into the expression inside the parantheses.

Distributing will look like this:

(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)

Now to get the simplified version of this expression, you just need to multiply and combine like terms!

Answer:

x= 78

Step-by-step explanation:

Focus on the blue traingle:

∠BHI= 180° -47° -31° (∠sum of triangle)

∠BHI= 102°

x°= 180° -102° (adj. ∠s on a str. line)

x°= 78°

x= 78

Alternatively,

x°= 47° +31° (ext. ∠ of triangle)

x°= 78°

x= 78

The missing values are numerator: 3,5 Denominators: 10,20, 30

For the numerators:

The numbers are increasing by 1.

Hence, the missing values are 3 and 5

The values of the numerators are 1,2,3,4,5,6,7

For the denominators:

The missing values are:

5 x2 = 10

5 x 4 = 20

5 x 6 = 30

Hence, the missing values are 10, 20 and 30

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Answer

It's 15.66 so 2

So the answer is C