What is the mapping formula expressed by the vector that translates JKLM to J’K’L’M’.


(x,y) → (x - 2, y - 3)
(x,y) → (x +1, y - 4)
(x,y) → (x +1, y + 4)
(x,y) → (x - 2, y +3)

Answer:

\(x=\sqrt{10}\)

Step-by-step explanation:

For first right angled tringle,

Hypotenuse = 10

Height = 9

We can find the base of first triangle using Pythagoras therorem,

\(b=\sqrt{10^2-9^2}\\\\=\sqrt{100-81}\\\\=\sqrt{19}\)

Now, for other triangle,

Height = 3

Hypotenuse = \(\sqrt{19}\)

So,

\(x=\sqrt{(\sqrt{19})^2-3^2}\\\\=\sqrt{19-9}\\\\=\sqrt{10}\)

So, the value of x is equal to \(\sqrt{10}\).

I don't know............. Lol

Answer: 31x + 8

Step-by-step explanation:

Answer:

Non Proportional

Step-by-step explanation:

no becuase the difference would  change Step-by-step explanation:

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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keeping in mind that a minute has 60 seconds, so 5 minutes is really just 300 seconds, so 5 mins and 15 seconds is 315 seconds.

now let's reword it.

if the machine makes 189 copies in 315 seconds, how many does it make in 60 seconds?

\(\begin{array}{ccll} copies&seconds\\ \cline{1-2} 189 & 315\\ x& 60 \end{array} \implies \cfrac{189}{x}~~=~~\cfrac{315}{60} \\\\\\ \cfrac{ 189 }{ x } ~~=~~ \cfrac{ 21 }{ 4 }\implies 756=21x\implies \cfrac{756}{21}=x\implies 36=x\)

Function is

2x + 5y = -30

Now find x,y. Intercepts

First find x intercept. Write y= 0

Then

2x + 5•0 = -30

2x = -30

x= -30/2= -15

Now find y intercept. Write x= 0

Then

2•0 + 5y = -30

5y = -30

y = -30/5= -6

So then , ANSWER for intercepts are

Point A = (-15,0)

Point B= (0, -6)

check by DRAWING

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side

Using the Pythagoras theorem

That's

\( {a}^{2} = {b}^{2} + {c}^{2} \)

From the question

x is the hypotenuse or the longest side of the triangle

Substituting the values into the above formula we have

\( {x}^{2} = {9}^{2} + {7}^{2} \)

\( {x}^{2} = 81 + 49\)

\( {x}^{2} = 130\)

Find the square root of both sides

We have the final answer as

Hope this helps you

Answer:

30

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

When more than 25 shirts are ordered, the price is $15 per shirt, plus $15 shipping and handling.  If $720 was spent on shirts,  the student council ordered 47 shirts.

Let x be the number of shirts ordered. We can set up an equation based on the given information:

If x ≤ 25, then the cost of the shirts is 20x + 20.

If x > 25, then the cost of the shirts is 15x + 15.

We know that the total cost of the shirts is $720. So, we can write:

20x + 20 if x ≤ 25

15x + 15 if x > 25

Setting these equal to each other, we get:

20x + 20 = 15x + 15

5x = 5

x = 1

This doesn't make sense, because the number of shirts ordered must be greater than 1. Therefore, we know that the student council ordered more than 25 shirts.

Using the equation 15x + 15 = 720, we can solve for x:

15x + 15 = 720

15x = 705

x = 47

To check, we can calculate the cost of the shirts:

If 47 shirts are ordered, then the cost is 15(47) + 15 = $720.

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$14 / 1.75 = $8

General admission is $8

Answer:

-25

Step-by-step explanation:

You begin with -40, then decrease by 20 so your new value is -60, then increase by 35 so your final value is -25m... hope this helps (:

Answer: 157.1

Step-by-step explanation:

To compare the posttreatment t-test scores of two groups of subjects who received different treatments, the appropriate analytic statistic would be a two-sample t-test. An independent samples t-test would be appropriate for analyzing the data.

This test is used to determine whether there is a statistically significant difference between the means of two independent groups. The two-sample t-test assumes that the samples are independent, normally distributed, and have equal variances.

If the probability is lower than a predetermined significance level (usually 0.05), then we reject the null hypothesis that the two group means are equal and conclude that there is a statistically significant difference between the treatments.

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Answer:

oo answer A

Step-by-step explanation:

Oo answer A

Sna amaktukong po

Step-by-step explanation:

Let's find out:

ax - bx + y = z        subtract 'y' from both sides of the equation

ax-bx = z-y             reduce L side

x ( a-b)  = z-y           divide both sides by (a-b)

x = (z-y) / (a-b)         Done.

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

3x-4 + 5x + 1 + 7x-27 = 180

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71

We have to:

0. Draw 3 parallel lines.

1. Draw 2 transversal non-parallel lines

2. Mark the points of intersection between the transversal lines and the parallel lines.

We can start with the parallel lines:

We cann see that parallel lines never intersect.

Then, we draw two non-parallel transversal lines:

We will have 2*3 = 6 intersection points that we can mark:

The length of the side : 5.75

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the given figure, we get,

Explanation:

Let the unknown side = X

Cos() = adj/hyp

Cos(44)= X/8

X= 5.75

hence, The length of the side : 5.75.

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well, we know the store is having a 20% off sale, so if you go and buy a few items and the total cost is X, well, since the items are on sale, you won't be paying 100% of X, you'll be paying only 100% - 20% = 80% of X, hmmm how much is 80% of X anyway?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of X}}{\left( \cfrac{80}{100} \right)X}\implies 0.80X \\\\[-0.35em] ~\dotfill\\\\ ~\hspace{12em}\stackrel{ \textit{total amount} }{A}~~ = ~~0.80X\)

The value of angle DGF is determined as 69⁰.

The value of angle DGF is calculated by applying the principle of a cyclic quadrilateral which states that opposite angles of a cyclic quadrilateral are supplementary.

From the given diagram, we will have the following equation for the opposite angles of the cyclic quadrilateral.

m∠DGF + m∠DEF = 180

8x - 51 + 12x - 69 = 180

20x - 120 = 180

20x = 300

x = 300/20

x = 15

The value of angle DGF is calculated as follows;

m∠DGF = 8x - 51

m∠DGF = 8(15) - 51

m∠DGF = 69⁰

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Answer:

Step-by-step explanation:

Correct option is A

Since the volume of the sphere V = 36π cm³is less than that of the cone, V' = 45π cm³ the ice cream will not overflow.

The volume of a sphere is given by V = 4πr³/3 where r = radius of sphere

To determine if the ice cream above is going to melt and when it does, will it fit in the cone or will it overflow? We know that the ice cream is a sphere, the ice cream will not overflow if the volume of the ice cream equals the volume of the cone. If its volume is greater than the volume of the cone, it will overflow.

We know that the ice cream is a sphere, we determine its volume as V = 4πr³/3 where r = radius of sphere = 3 cm

We substitute the variable into the equation,

V = 4πr³/3

V = 4π(3 cm)³/3

V = 4π × 27 cm³/3  

= 4π × 9 cm³

= 36π cm³

Next, we determine the volume of the cone to be V' = 1/3πr²h where

We now substitute the variables into the equation, thus

V' = 1/3πr²h

V' = 1/3π(3 cm)² × 15 cm

= 1/3π × 9 cm² × 15 cm

= 3π cm² × 15 cm

= 45π cm³

We see that V = 36π cm³ < V' = 45π cm³

Since the volume of the sphere is less than that of the cone, the ice cream will overflow.

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Answer:-200

Step-by-step explanation:

300-500=-200

The following statements are true:

81 is a perfect square.

729 is a perfect cube.

We have,

- 81 is a perfect square because it can be expressed as the square of a whole number.

In this case, 81 is equal to 9², where 9 is the square root of 81.

- 729 is a perfect cube because it can be expressed as the cube of a whole number.

In this case, 729 is equal to 9³, where 9 is the cube root of 729.

The statement "81 is both a perfect square and a perfect cube" is incorrect. While 81 is a perfect square, it is not a perfect cube because it cannot be expressed as the cube of a whole number.

Thus,

The following statements are true:

81 is a perfect square.

729 is a perfect cube.

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Simran's Journey was 35 minutes less on Thursday as compared to Wednesday

Distance Time graph is the relationship between the distance travelled in the respective time on the x axis.

Two distance time graph is given

The Wednesday graph shows the time taken by Simran is

Total Time = 40 minutes

and

The Thursday graph shows the time taken by Simran is

Total Time = 5 minutes

Therefore Simran's Journey was 40-5 , 35 minutes less on Thursday as compared to Wednesday

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The required ratio for the burger is 3:6:9 and the ratio for the hot dog is 5:10:15.

Let the missing ratio in Burger be x and the ratio in the Hot dogs be y,

Now,

According to the question,

3 / 5 = x / 10

x = 6

Now,

x / 10 = 9  / y

Substitute the value of x,

6 / 10 = 9 / y

y = 90 / 6

y = 15

Thus, the required ratio for the burger is 3;6:9 and the ratio for the hot dog is 5:10:15.

In mathematics, a ratio suggests how commonly one variety consists of another. for example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to 6 (this is, eight:6, that's equal to the ratio four:3). similarly, the ratio of lemons to oranges is 6: 8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).

The numbers in a ratio may be quantities of any kind, consisting of counts of human beings or items, or which include measurements of lengths, weights, time, and many others. In maximum contexts, each number is constrained to be advantageous.

A ratio may be specified either by way of giving each constituting number, written as "a to b" or "a: b", or through giving simply the price of their quotient a/b. identical quotients correspond to the same ratios.

Consequently, a ratio may be considered as an ordered pair of numbers, a fraction with the first number inside the numerator and the second one in the denominator, or as the price denoted by using this fraction. Ratios of counts, given via (non-zero) herbal numbers, are rational numbers, and might occasionally be natural numbers. while portions are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of quantities that are measured with distinct devices is referred to as a rate.

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Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

Step-by-step explanation:

0.5 inch = 6 miles

1 inch = 12 miles

1.25 inch = 12 Miles x 1.25

1.25 inch = 15 miles

The Table containing 270 miles 15 gallons and 135 miles 7.5 gallons depicts proportionate relationship between miles traveled and gas used.

The way that two quantities are related to one another changes proportionally.

a= kb

where the proportional constant is known as k.

Let's assume that y miles have been traveled.

Let's suppose that the gas was x.

\(y \alpha x\)

y = ca

Where c is the proportional constant .

In first table

Distance traveled: 27.3 miles

utilized gas = 1.5 gal

Adding the expression y = ca

27.3 = 1.5c,

c = 18.2

Travel distance is 49.16 miles.

Gas consumed: 3.8 gal.

Adding y = ca

49.16 = 3.8c

c = 12.94 to the equation (Approx)

As a result, the miles traveled are not affected by the amount of gas utilized.

As a result, the proportionate relationship is not shown in the table.

Second table

Miles travelled = 135 mi

Gas used = 7.4 gal

Putting in the formula

y = ca  

135 = 7.4c

c = 18.2

Miles travelled = 135.5 mi

Gas used = 7.9 gal

Putting in the formula

y = ca  

135.5 = 7.9c

c = 17.2 (Approx)

As a result, the miles traveled are not affected by the amount of gas utilized.

As a result, the proportionate relationship is not shown in the table.

Third table

Miles travelled = 120 mi

Gas used = 6.2 gal

Putting in the formula

y = ca  

120 = 6.2c

c = 19.4 (Approx)

Miles travelled = 180 mi

Gas used = 12.2 gal

Putting in the formula

y = ca  

180 = 12.2c

c = 14.8 (Approx)

Thus, the number of miles driven is not affected by the amount of gas utilized.

Table therefore does not display the proportional relationship.

Fourth table

Miles travelled = 270 mi

Gas used = 15gal

Putting in the formula

y = ca  

270 = 15c

c = 18

Miles travelled = 135 mi

Gas used = 7.5 gal

Putting in the formula

y = ca  

135= 7.5c

c = 18

The miles traveled therefore depend on the amount of gas utilized.

The proportional relationship is therefore displayed in the table.

Hence, The table that shows 270 miles,15 gallons of gas and 135 miles,7.5 gallons of gas shows the proportionate relationship between the miles travelled and gallons used.

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The critical value is 1.645

To determine the critical value we need to utilize the standard normal distribution table.

We have to note that we can only determine critical value for a right-tailed test

The steps includes;

The table appears the area under the bend for each z-score. We are searching for the range to the correct of the basic esteem, which is 0.05. The z-score that compares to an range of 0.05 is 1.645.

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