The sum of two numbers is 50 and their difference is 2. Find the two numbers.

Line l was translated down 8 units, is true for the transformation that took place.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given that, parallel lines l, m, and n are shown. If line l is mapped to line m and line m is mapped to line n,

We can see line is the original line is l which is first mapped into line m then into line n, so, we can say line is mapped to n.

Hence, Line l was translated down 8 units, is true for the transformation that took place.

For more references on transformation, click;

https://brainly.com/question/11709244

#SPJ1

Answer:

The price for one pound of cherries is $3.5

Step-by-step explanation:

$9.8/2.8= $3.5 for one pound of cherries

Answer:

$3.50

Step-by-step explanation:

Divide 9.80 by 2.8 and add a zero to get $3.50 per pound. Hope this helps.

Answer:

1

Step-by-step explanation:

\( \frac{2}{4} + \frac{3}{6} =\frac{1}{2} + \frac{1}{2} \)

\( \frac{1 + 1}{2} = \frac{2}{2} \)

\( = 1\)

Answer: So, the simple probability of reaching in and extracting a yellow marble from the bag is 0.1 or 10%.

Step-by-step explanation: To calculate the simple probability of reaching in and extracting a yellow marble from the bag, we need to divide the number of yellow marbles by the total number of marbles in the bag.

The bag contains a total of 10 marbles, and there is only 1 yellow marble. Therefore, the probability of extracting a yellow marble can be calculated as:

Probability = Number of Yellow Marbles / Total Number of Marbles

Probability = 1 / 10

Simplifying this fraction gives us:

Probability = 0.1 or 10%

Hope this helps!

Answer:

First off I have absolutely no idea what equation that is, there is no variable in the first problem so really all you have is 12+6 and a random 2 somewhere in the void

Step-by-step explanation:

Then you can state that angle DEF is congruent to angle GHJ.

The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.

This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.

In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and

you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.

To learn more about : congruent

https://brainly.com/question/29789999

#SPJ8

Answer:

3.5 feet

I think is right

Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

The side b is approximately 80.02 feet in length. In a right triangle ABC with angle C equal to 90°, if angle B is 37.56° and side a is 49.94 feet, we can solve for side b using the trigonometric function sine.

First, we can label the triangle as follows:

Side a is opposite angle A,

Side b is opposite angle B,

Side c is the hypotenuse.

Let's label the triangle with the given and asked for information. Angle C is the right angle, angle B is 37.56°, side a is 49.94 feet, and side b is the side we are trying to find.

Using the sine function, we have:

sin(B) = opposite/hypotenuse

sin(37.56°) = a/b

Now we can substitute the known values:

sin(37.56°) = 49.94/b

To solve for b, we rearrange the equation:

b = 49.94 / sin(37.56°)

Using a calculator, we find:

b ≈ 80.02 feet.

For more such questions on Trigonometric function:

https://brainly.com/question/1143565

#SPJ8

Answer:

A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm

Calculate the volume using the value 22/7. 

Step-by-step explanation:

The maximum time that tony can park his car at the garage if he wants to pay less than $8 is 5.6 hours

Let's start by setting up an inequality that represents the situation:

Total cost for parking x hours <= $8

We know that the first hour costs $2.75, and each additional hour or part thereof costs $1.25. So the cost for x hours can be expressed as:

Cost = $2.75 + $1.25 × (x - 1)

Note that we subtract 1 from x because the first hour is already accounted for in the flat fee.

Now we can substitute this expression into the inequality:

$2.75 + $1.25 × (x - 1) <= $8

Simplifying this inequality, we get:

$1.25x <= $7

Dividing both sides by $1.25, we get:

x <= 5.6

Learn more about inequality here

brainly.com/question/30231190

#SPJ4

Answer:

q = 6 2/5

Step-by-step explanation:

q/8 = 4/5

Using cross products

q*5 = 8*4

5q = 32

Divide each side by 5

5q/5 = 32/5

q = 6 2/5

Answer:

y-intercept=2

Step-by-step explanation:

2y=-3x+4

divide both sides by 2

y=-1.5x+2

y=mx+c

'c' is the y-intercept so '2' is the answer.

Answer:

= -3/2

Step-by-step explanation:

The equation of the line = 2y = -3x + 4

2y = -3x + 4

2y = -3x + 4

2 2 2

y intercept of the line = -3/2.

Odpowiedź:

48 cm

Wyjaśnienie krok po kroku:

Jeśli się uwzględni:

Wysokość trapezu = 6 cm

Długość podstaw:

Podstawa 1 = a = 9 cm

Podstawa 2 = b = (a - 2) = 9 - 2 = 7 cm

Uaing relacji:

Powierzchnia trapezu = 1/2 (a + b) * h

Powierzchnia trapezu = 0,5 (9 + 7) * 6

Powierzchnia trapezu = 0,5 (16) * 6

Powierzchnia trapezu = 8 * 6

Powierzchnia trapezu = 48 cm

ANSWER

The area of the forest after 13 years is 1,11758km^2

EXPLANATION

Given that;

Follow the steps below to find the area of the forest after 13 years

Since the size of the forest decreases every year by 4%, then apply the below formula

Where

A is the area of the forest after some years

Ao is the original area of the forest

r is the interest rate

t is the time

Therefore, the area of the forest after 13 years is 1,11758km^2

Answer:

perimeter of rectangle = 2(length +breadth)

=2(20+80) m

=200 m

∴perimeter of rectangle is 200 m

The approximate number of guests that were children are 172 and adults are 278

From the complete question, we have the following system of equations

25x + 12y = 9014

x + y = 450

Make y the subject in x + y = 450

y = 450 -x

Substitute y = 450 - x in 25x + 12y = 9014

25x + 12(450 - x) = 9014

Expand the expression

25x + 5400 - 12x = 9014

Evaluate the like terms

13x = 3614

Divide both sides by 12

x = 278

Substitute x = 278 in y = 450 -x

y = 450 - 278

Evaluate

y = 172

Hence, the approximate number of guests that were children are 172 and adults are 278

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ1

Answer:

The farthest left box.

Step-by-step explanation:

In order for a relation to be a function, the order of numbers must be constant from the input to the output. The other numbers do not have a consistent value, but the one on the far left is x=+5 and y=-5, and it continues this way throughout the relation.

Hopefully this helped!

Answer: Hi! I am doing the same school program and the answer is A and C! Hope this helps.

Answer:

Does this help?

Step-by-step explanation:

2 = 4x + 12 and angle 4 = 7x - 6

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Graph 2= 4x + 12

Slope: Undefined

y-intercept: No y-intercept

Plot each graph on the same coordinate system.

4=

2=

4=

2= 4x + 12

4= 7x − 6

Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

Learn more about correlation at:

https://brainly.com/question/13879362

#SPJ1

Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

Answer:

46.84

Step-by-step explanation:

Add the decimals first to get .84 then add the real numbers to get 46.

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

Learn more about Venn diagram here:

brainly.com/question/29301560

#SPJ1

Business acumen, often referred to as business savviness, business sense, and business knowledge, is the keenness and rapidity with which one perceives and responds to a business issue in a way that is most likely to produce a favorable result.

To learn more about Business acumen refer to:

https://brainly.com/question/29517196

#SPJ1

For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ1

The connection of the numbered expression to the lettered expression of the transformation and description of functions are;

2 → Q

3 → H

4 → D

5 → C

6 → F

7 → Stretch vertically

8 → W

9 → S

10 → U

11 → P

12 → Z

13 → V

14 → M

15 → J

16 → E

17 → I

18 → O

19 → X

20 → K

21 → R

24 → Y

25 → L

26 → T

A function is a rule that assigns a unique output to each input from a given set.

The rules for the transformation of a function are as follows;

f(x) + d; The transformation is a vertical shift upwards of d units

f(x) - d; The transformation is a vertical shift downwards of d units

f(x + c); Horizontal shift left of c units

f(x - c); Horizontal shift right of c units

-f(x); Reflection transformation over the x-axis

f(-x); Reflection over the y-axis

a·f(x); Vertical stretch when the variable |a| > 1

Vertical compression when 0 < |a| < 1

f(b·x); Horizontal compression for |b| > 1

Horizontal stretch for 0 < |b| < 1

The correct options or phrases, that match the function expressions obtained from the options in the question are;

2. f(x) - a → Q. Shift down 'a' units

3. f(x + a) → H. Shift left 'a' units

4. f(x - a) → D. Shift right 'a' units

5. -f(x) → C. Reflection about the x-axis

6. f(-x) → F. Reflection about the y-axis

7. a·f(x) where a > 1. Stretch vertically

8. a·f(x) where a < 1. → W. Shrink vertically

9. f(a·x) where a > 1. → S. Shrink horizontally

10. f(a·x) where a < 1. → U. Stretch horizontally

11. |f(x)| → P. Points below the x-axis get reflected above the x-axis

12. Symmetry about the x-axis → Z. Substitute -y for y

13. Symmetry about the line y = x → V. Switch x and y

14. Symmetry about the y-axis → M. Substitute -x for x

15. Symmetry about the origin → J. Substitute -x, -y for x, y

16. Ordered pair such that every x maps exactly one y → E. Def. of a function and vertical line test

17. Composite function → I. f(g(h)) or (f ○ g)(x)

18. Domain concepts → O. Interval testing

19. One-to-one function → X. Passes vertical AND horizontal line test

20. x-intercept → K. Let y = 0, solve for x

21. y-internet → R. Let x = 0, solve for y

22. Non-linear inequalities →

23. Absolute value inequalities →

24. DEF of Inverse Function → Y. f(f⁻¹(x)) = f⁻¹(f(x) = x

25. Odd function → L. f(-x) = -f(x), symmetry about the origin

26. Even function → T. f(-x) = f(x) and symmetry about the y-axis

Learn more on functions here: https://brainly.com/question/30056459

#SPJ1

Answer:

4.75

Step-by-step explanation:

19/2 = 9.5

9.5/2 = 4.75

4.75

The like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Terms whose variables (such as x or y) with any exponents (such as the 2 in x²) are the same are called like terms,

Examples: 7x and 2x are like terms because they are both "x".

Given are some pairs of expressions, we are asked to identify which are like terms,

We know that, according to the definition of the like terms,

Like terms are those terms which contain the same variable which is raised to the same power,

Therefore, the expressions showing the like terms are,

3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Because, they have same variable with same powers.

Hence, the like terms in the given options are 3x⁴ and 2x⁴, 2x² and 3x², 2x and 3x

Learn more about like terms, click;

https://brainly.com/question/23325290

#SPJ9