Reflect (-5, 4) across the y-axis.
Then reflect the result across the x-axis.

Answers

Answer 1

Projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).

What is the coordinate point?

The center of the coordinate system and the intersection of the lines and called the origin. The axes intersect when both x and y are zero. The coordinates of the starting point are (0, 0). An ordered pair contains the coordinates of a point in a single coordinate system.

To reflect a point across the y-axis, we cancel its x-coordinate, leaving its y-coordinate unchanged. So reflecting the point (-5, 4) across the y-axis gives the point (5, 4).  

To reflect a point across the x-axis, we cancel its y-coordinate and leave its x-coordinate unchanged. Thus, reflecting the point (5, 4) across the x-axis results in the point (5, -4).

 Therefore, projecting the point (-5, 4) over the y-axis and projecting the result over the x-axis, we get the point (5, -4).

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Related Questions

Enter the number that belongs in the green box. 56° 78° 12 [? Round to the nearest hundredth.​

Answers

Answer:

Set your calculator to degree mode.

Using the Law of Sines:

sin(56°)/12 = sin(78°)/x

x sin(56°)/12 = sin(78°)

x = 12sin(78°)/sin(56°) = 14.16

put the word to the meaning 20 points !!!!!!

Answers

Answer:

Alcohol use disorder

Couyog Hi gun gun

Iyogf cool cool chip void viz

56 until igloo Ohio

Ru track trio to

Adverb

6r Yahoo ump

Caracas

Eastwards

You will turn in the results of this activity for your assessment for this lesson.
Create a wrapping paper design that includes at least four of the following constructions:
a bisected angle
a perpendicular line drawn from a point not on a line to a line
a perpendicular line drawn through a given point on a given line
a quadrilateral with at least one pair of parallel lines
a segment bisected by a perpendicular line
two congruent angles
two congruent segments
two parallel lines, one of which is drawn through a given point
Your design should be8 and one-half inches by 11 inches (the size of a standard sheet of computer paper).

Number each element and create a key that names each element in your design. For example: Element 1: Two congruent segments. If several elements are combined in one figure, then number each element in that figure and describe each element on the key.
Create instructions, in your own words, describing how to create each element using only a compass and a straightedge.
Give your key and your instructions to a friend and see if they can recreate your wrapping paper design. If she can’t, then revise your key and instructions so that there is no room for confusion.
You will turn in the following:
a key describing each element
a wrapping paper design with the elements numbered
instructions for creating each element, written in your own words

Answers

The wrapping paper design could consist of a repeating pattern of quadrilaterals with at least one pair of parallel lines.

How to explain the quadrilateral

Inside each quadrilateral, there could be two congruent angles and two congruent segments. The segments could be bisected by perpendicular lines, creating a bisected angle within the quadrilateral.

In addition, there could be perpendicular lines drawn from a point not on a line to a line and perpendicular lines drawn through given points on given lines. These lines could intersect with the quadrilaterals in various ways, creating a dynamic and visually interesting design.

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HELP ASAP I WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

First problem:

Area of shaded region:

(1/6)π(9^2) - (1/2)(9)(4.5√3) = 7.4 m^2

Second problem:

Area of shaded region:

(1/3)π(6^2) - 2(1/2)(3)(3√3) = 22.1 cm^2

The planet Saturn has several moons, and they can be modeled accurately by spheres. Saturn’s largest moon, Titan, has a radius of about 2575 kilometers. What is the approximate surface area of Titan? Round your answer to the nearest tenth

Answers

Answer:

Step-by-step explanation:

The surface area of a sphere is given by the formula:

Surface Area = 4πr^2

where r is the radius of the sphere.

For Titan, with a radius of 2575 kilometers, the surface area would be:

Surface Area = 4π(2575)^2

Surface Area ≈ 8.34 x 10^7 square kilometers

Rounding to the nearest tenth, the surface area of Titan is approximately 8.3 x 10^7 square kilometers.

The point B lies on the segment AC.
Find the coordinates of B so that AB is 5/9 of AC

Answers

The coordinates of B so that AB is 5/9 of AC is (51/14, -10/7).

What is a coordinate?

Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane.

To calculate the coordinates of B (x,y), so that AB is 5/9 of AC, we use the formula below

Formula:

For y coordinate = (my₂+ny₁)/(m+n)................... Equation 1

Ferom the question,

Given:

m = 5n = 9y₁ = 5y₂ = -13

Substitute these value into equation 1

y = [5(-13)+9(5)]/(9+5)y = -20/14y = -10/7

Similarly for coordinate x we use the  formula below

x = (mx₂+nx₁)/(m+n)............. Equation 2

Where:

x₁ = -6x₂ = 21

Substitute into equation 2

x = [5(21)+9(-6)]/(5+9)x = 51/14

Hence, the coordinates of B is (51/14, -10/7).

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Determine if I triangle can be constructed with the following sides. Explain
2/3 , 4/5 , 1/2


what value of x would allow a triangle to be constructed with the following measures?

a. 21,8,x
b. 13,7,x

Answers

Answer: Yes, a triangle can be constructed with sides of 2/3, 4/5, and 1/2

To determine if a triangle can be constructed, we need to check if the sum of the two smaller sides is greater than the largest side. In this case, 2/3 + 1/2 > 4/5, 2/3 + 4/5 > 1/2, and 1/2 + 4/5 > 2/3, so a triangle can be formed.

Step-by-step explanation: Sincerely, answered by Lizzy ♡ :: as an A+ student, I want to make sure other students can succeed as well, so in my free time: i answer questions like yours on Brainly! if you could click the thanks heart, give me brainliest by clicking the crown, and rate my answer 5 stars, it would be appreciated! have a lovely day! (ᵔᴥᵔ)

Mayank wants to make 17 payments to his child’s college fund. He assesses his income and comes to the conclusion that he can increase the payment by 4% every year. The value of cost of a college education today is ₹ 9,422. 92. How much should the first payment be to the college fund? Assume discount rate to be 14%

Answers

If the value of cost of a college education today is ₹ 9,422. 92, the first payment to Mayank's child's college fund should be ₹ 2,447.22.

To determine the amount of the first payment to Mayank's child's college fund, we need to calculate the present value of all the payments discounted at a rate of 14%.

We can start by calculating the future value of the 17 payments based on the annual increase of 4%. Using the formula for the future value of an annuity, we get:

FV = Payment * [(1 + r)ⁿ⁻¹] / r

where r is the annual increase rate (4%), n is the number of payments (17), and Payment is the amount of the first payment.

FV = Payment * [(1 + 0.04)¹⁷⁻¹] / 0.04

FV = Payment * 21.6019

Next, we can calculate the present value of the future payments using the formula for the present value of an annuity:

PV = FV / (1 + r)ⁿ

where r is the discount rate (14%) and n is the number of payments (17).

PV = FV / (1 + 0.14)¹⁷

PV = FV / 5.616

Substituting the value of FV, we get:

PV = Payment * 21.6019 / 5.616

PV = 3.8514 * Payment

Finally, we can solve for the value of Payment by dividing the present value of the payments by 3.8514:

Payment = PV / 3.8514

Payment = ₹ 9,422.92 / 3.8514

Payment = ₹ 2,447.22

In summary, Mayank can afford to make 17 payments to his child's college fund, increasing by 4% every year.

By discounting the future payments at a rate of 14%, the present value of all payments can be determined, and the amount of the first payment can be calculated using the formula for the present value of an annuity. The first payment should be ₹ 2,447.22.

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Select the correct answer. A circle is described by the equation x2 + y2 + 14x + 2y + 14 = 0. What are the coordinates for the center of the circle and the length of the radius? A. (-7, -1), 36 units B. (7, 1), 36 units C. (7, 1), 6 units D. (-7, -1), 6 units

Answers

The center of the circle is (-7, -1) and the radius is the square root of 36, which is 6. So, correct option is D.

To find the center and radius of a circle given by its equation in the form of (x-a)² + (y-b)² = r², we need to convert the given equation to this standard form by completing the square for both x and y terms.

x² + y² + 14x + 2y + 14 = 0

(x² + 14x) + (y² + 2y) = -14

(x² + 14x + 49) + (y² + 2y + 1) = -14 + 49 + 1 // add and subtract the square of half the coefficient of x and y terms respectively

(x + 7)² + (y + 1)² = 36

Comparing with the standard form (x-a)² + (y-b)² = r², we can see that the center of the circle is (-7, -1) and the radius is the square root of 36, which is 6.

Therefore, the correct answer is option D, (-7, -1), 6 units.

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The diameter of Earth is about 7,920 miles. A satellite orbits 200 miles above Earth’s surface. Calculate the circumference of Earth and the distance the satellite travels in one orbit around Earth.

Answers

The circumference of Earth can be calculated using the formula:

Circumference = π x Diameter

where π (Pi) is a mathematical constant approximately equal to 3.14.

Circumference = 3.14 x 7,920 miles
Circumference = 24,876.8 miles

So the circumference of Earth is approximately 24,876.8 miles.

The distance traveled by the satellite during one orbit around Earth is equal to the circumference of the orbit, which is the sum of the distance traveled horizontally (the circumference of Earth) and the distance traveled vertically (the altitude of the satellite).

The altitude of the satellite is given as 200 miles, so the radius of the orbit is 7,920 + 200 = 8,120 miles. The circumference of the orbit can be calculated using the formula:

Circumference of orbit = 2 x π x radius

Circumference of orbit = 2 x 3.14 x 8,120 miles
Circumference of orbit = 51,139.2 miles

So the distance traveled by the satellite during one orbit around Earth is approximately 51,139.2 miles.

7,920 × 3.14 = 24,868.8, not the answer above. How is this right?

The human body contains many glands, including the pituitary, thymus, and thyroid. The table below shows the functions of two of these glands.


Function
1. Associated with the immune system and is largest in size during teenage years
2. Produces hormones which are required for growth and various body functions


Which of the following matches correctly the names of the glands with their functions?
Pituitary—Function 1; Thyroid—Function 2
Thyroid—Function 1; Thymus—Function 2
Thymus—Function 1; Pituitary—Function 2
Pituitary—Function 1; Thymus—Function 2

Answers

Thymus—Function 1; Pituitary—Function 2 is the correct to depict the function of the glands, thymus is associated with the immune system, hence option C is correct.

Thymus associated with the immune system, it reaches its peak size during adolescence.

The pituitary produces hormones needed for different bodily activities, including development.

The pituitary gland is known as the "master gland" because it uses hormones to monitor and control a variety of body functions. Growth and sexual development is the function of this gland.

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because each of n bits of a number x must be multiplied by each of n bits of a number y, the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n)-O(n^2)
a. true
b. false

Answers

False. The best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n^2), not O(n+n) or O(2n).

An algorithm is a set of instructions or a procedure for solving a problem or performing a task. In computer science, an algorithm is typically a step-by-step process for solving a problem or performing a computation. Algorithms can be expressed in various forms, such as natural language, pseudocode, flowcharts, or programming languages. They are used in a wide range of applications, from simple arithmetic operations to complex data processing and artificial intelligence. The efficiency and correctness of an algorithm depend on various factors such as the input size, the data structure, and the computational complexity of individual operations.

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Because each of n bits of a number x must be multiplied by each of n bits of a number y, the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n)-O(n^2

While it is true that each of n bits of a number x must be multiplied by each of n bits of a number y, it is possible to achieve a better big-o bound than O(n+n) or O(2n). The best-known algorithm for multiplying two n-bit numbers, the Karatsuba algorithm, achieves a big-o bound of O(n^log2(3)), which is faster than O(n^2).

Therefore, the statement that the best big-o bound that any algorithm that multiplies two n-bit numbers can achieve is O(n+n) or O(n^2) is false.
Main answer: b. false

The given statement implies that the best big-O bound for multiplying two n-bit numbers is O(n+n)-O(n^2), which simplifies to O(2n)-O(n^2) or simply O(n^2). However, this is not the best bound achievable for multiplying two n-bit numbers. The best known algorithm, the Karatsuba algorithm, has a time complexity of O(n^log2(3)), which is approximately O(n^1.585). This is faster than O(n^2) and thus, the statement is false.

The best big-O bound that any algorithm that multiplies two n-bit numbers can achieve is not O(n^2), but rather O(n^log2(3)), as demonstrated by the Karatsuba algorithm. Therefore, the given statement is false.

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Un tipo de queso se vende a 8. 99 por libra ¿cual es el costo de un pedazo de queso de 1. 76 libras?

Answers

The cost of a piece of cheese weighing 1.76 pounds at a cost of $8.99 per pound using unitary method is $15.86.

To use unitary method, we can set up a proportion that relates the cost of the cheese to its weight

Cost of cheese / Weight of cheese = Cost per unit of weight

We know that the cost per unit of weight is $8.99 per pound. To find the cost of a piece of cheese weighing 1.76 pounds, we can plug in the values we know and solve for the unknown

Cost of cheese / 1.76 pounds = $8.99 per pound

Multiplying both sides by 1.76 pounds, we get

Cost of cheese = $8.99 per pound × 1.76 pounds

Simplifying the right side, we get:

Cost of cheese = $15.8624

Rounding to two decimal places, the cost of the cheese is $15.86. Therefore, a piece of cheese weighing 1.76 pounds would cost $15.86.

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Convert 0.009m to milli meters​

Answers

Answer:

0.009 meters is equal to 9 millimeters.

The transformation from green triangle to red triangle can be described as "a 9 unit slide to the right." It can also be written mathematically as `\left(x,\ y\right)`--> `\left(x+9,\ y\right)`. (Note: I used the minus sign twice and a greater than to make an arrow. Describe in words and in symbols the transformation from green triangle to blue triangle.

Answers

The transformation from green triangle to blue triangle is translation moved down by 6 units.

Given that,

Vertices of green triangle are (-3, 9), (-5, 4) and (2, 6)

Vertices of blue triangle are (-3, 3), (-5, -2) and (2, 0)

We can see that, x-coordinates of all the ordered pairs are same.

y-coordinates of all the ordered pairs are changed that is

(9-3)=6, (4-(-2))=6 and (6-0)=6

So, the triangles are slide down by 6 units.

Mathematically it is represented as (x, y-6)

Therefore, the transformation from green triangle to blue triangle is translation moved down by 6 units.

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URGENT - Will also give brainliest to simple answer in terms of pi

A circle has radius 1 unit, find the length of the arc defined by each of these central angles

180 degrees​

Answers

For a 180-degree central angle on a circle with a radius of 1 unit, the arc length is:

Arc length = (180 degrees) * (pi) * (radius)

= 180 * 3.1415 * 1

= 562.8

So the arc length for a 180-degree central angle on a circle with a radius of 1 unit is 562.8 units.

In general, for any central angle θ on a circle with radius r, the arc length is:

Arc Length = θ * π * r

So for:

θ = 270 degrees, arc length = 851.96

θ = 180 degrees, arc length = 562.8

θ = 90 degrees, arc length = π * r = 3.1415 * 1 = 3.1415

etc.

A patio is in the shape of a trapezoid. The length of the longer base is 17 feet. The length of the shorter base is two feet less than half the longer base. The height is 2 feet.

What is the area of the patio?

Answers

The area of the trapezoidal shaped patio is 23.5 square feet.

Given that, The length of the longer base of a trapezoid is 17 feet.

The length of the shorter base is two feet less than half the longer base.

The shorter base = 1/2 ×17 -2

= 6.5

The formula for the area of a trapezoid is expressed as, A = ½ (a+b)×h.

where (A) is the area of a trapezoid, 'a' and 'b' are the bases (parallel sides), and 'h' is the height (the perpendicular distance between a and b).

Here, the area = 1/2 (17+6.5)×2

= 23.5 square feet

Therefore, the area of the trapezoidal shaped patio is 23.5 square feet.

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Coin Toss Real life probability
Toss coin 50 times, find probability vs actual results

Answers

The probability of getting heads= 1/2

The probability of getting tails = 1/2

How to determine the probability of heads and tails?

To determine the outcome of a possible event (probability) the formula stated below should be used.

Probability = possible outcome/sample space

When a coin is tossed 50 times the sample space ,= 100

The possible outcome for heads = 50

probability = 50/100 = 1/2

The probability for tails = 50/100 = 1/2.

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PLEASE HELP!!!!

Complete the frequency table:

Method of Travel to School

Walk/Bike | Bus | Car | Row totals

Under age 15 | 0 | 0| 18| 165

Age 15 and above | 65 | 0 | 0| 195

Column totals | 152 | 110 | 98 |360

What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.

A. 36%
B. 26%
C. 45%
D. 50%

Answers

To find the percentage of students age 15 and above who travel to school by bus, we need to look at the second row of the table, which shows the number of students age 15 and above who use each method of travel:

Walk/Bike | Bus | Car | Row totals
---|---|---|---
65 | 0 | 0 | 195

The table tells us that 0 students age 15 and above travel to school by bus, out of a total of 195 students in that age group. To find the percentage, we can use the formula:

percentage = (part/whole) x 100

where "part" is the number of students age 15 and above who travel to school by bus, and "whole" is the total number of students age 15 and above.

So, the percentage of students age 15 and above who travel to school by bus is:

(0/195) x 100 = 0%

Rounding to the nearest whole percent, the answer is (A) 0%, since there are no students age 15 and above who travel to school by bus according to the table.

Amelia is going to invest $47,000 and leave it in an account for 5 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Amelia to end up with $64,000?

Answers

The interest rate required  in order for Amelia to end up with $64,000 assuming the interest is compounded continuously is 6.2%.

Given that,

Amelia is going to invest $47,000 and leave it in an account for 5 years.

Principal amount, P = $47,000

Time, t = 5 years

Final amount, A = $64,000

Interest is compounded continuously.

Final amount, A, can be calculated as,

A = P e^(rt)

64,000 = 47,000 e^(5r)

e^(5r) = 1.3617

Taking natural logarithms on both sides,

5r = ㏑ (1.3617)

r = 0.0617 ≈ 6.2%

Hence the interest rate is 6.2%.

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Amanda's office has 40 employees.
The employees want to have a catered
dinner. They have found a company
that will provide what they need for $25
per person. Amanda knows that some
people will bring a guest. The company
has budgeted $1500 for this event. How
many guests can they invite? Assume the
price of $25 includes all taxes.


Write an equation for this problem.

Answers

Answer:

[tex]25x+1000=1500[/tex] which means [tex]x=20[/tex] guests

Step-by-step explanation:

The initial 40 employees cost 40*25  = $1000

So, we can set up the equation:

[tex]25x + 1000=1500[/tex] where x is the number of guests.

This means [tex]25x=500[/tex].

[tex]x=20[/tex]

need answer now please

Answers

The expression which are equals to 6⁻¹⁰ are as follow,

option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².

The expression is equal to,

6⁻¹⁰

Simplify all the given options to find the equivalent expression to 6⁻¹⁰.

(1 /6² )⁵

Apply law of exponent here,

= ( 1 / 6¹⁰)

= 6⁻¹⁰

Option A. is correct answer.

6⁻³ / 6⁷

Apply law of exponent we get,

= 6⁻³⁻⁷

= 6⁻¹⁰

Option B. is correct answer.

( 6⁵ × 6⁻³ )/ 6⁻⁸

= 6⁵⁻³⁺⁸

= 6¹⁰

It is not the correct answer.

( 6⁻⁵ )²

Apply law of exponent here

= 6⁻¹⁰

Option D. is the correct answer.

6⁻⁵ × 6²

= 6⁻³

It is not correct option.

Therefore, the expression equivalent to the given expression are option A. (1 /6² )⁵ , Option b. 6⁻³ / 6⁷ , Option ( 6⁻⁵ )².

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Jenise wants to find out if the students at her school
would support using money to buy new band uniforms.
Which survey will result in a random sample?
A. She asks each student on her bus.
B. She asks all brand members in the school.
C. She picks every fourth student that leaves the school on
Tuesday.
D. She picks 75 names at random, sends emails, and records
those that return.

Answers

If Jenise wants to find out if the students at her school would support using money to buy new band uniforms, the survey that will result in a random sample is D. She picks 75 names at random, sends emails, and records those that return.

What is a random sample?

A random sample is a sample that gives each unit in the population an equal chance of participation or being selected.

A random sample involves selecting a subset of the population.  The result of the sample survey is generalized on the population to each some conclusions about the population parameters.

Thus, the correct option is D because it involves a random selection.

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In the number 437. 981, what is the place value of the 3?

Answers

The place value of 3 in this number be ten.

What is place values?

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

What is number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

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G
7
Which is a diagonal through the interior of the cube?
OBE
A
1
C
Mark this and return
1₂
D
I
H
B
LL
Save and Exit
lext
Submit

Answers

The diagonal through the interior of the cube is side CF. Option B

How to determine the diagonal

To determine the diagonal of the cube:

We need to know the properties of a cube. These properties are;

It is a square-shaped, three-dimensional object.It contains 8 vertices, 6 faces, and 12 edges.Every face has a square form to it.The length of each side is equal.Three faces and three edges are met by each vertex.The margins follow the lines that are parallel to it.A cube's angles are all right angles.

From the diagram shown, we have that;

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

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The complete question is:

Which is a diagonal through the interior of the cube

A. Line BE

B. Line CF

C. Line DG

D. Line GF

PLEASE HELP ASAP WILL GIVE MORE POINTS AFTER COMPLETION

Answers

Answer:

i think i know 4 and 5

Step-by-step explanation:

for 5 is A,G

and for 4 its D,F

Given that x= 5.7 m and
θ = 47°, work out BC rounded to 3 SF.

Answers

Step-by-step explanation:

For a RIGHT triangle such as this :

Sin Φ  =  opposite leg / hypotenuse

sin (47) = AB/5.7

5.7 sin (47) = AB = 4.17 m

Uh whats 5 plus 2

i forgot

Answers

Answer: 7

Step-by-step explanation:

The answer is 7 :)



Solution: 7

A processing machine crushes 31__
4
kilograms of dried fruits in 3__
4
minute. What is the rate, in kilograms per minute, at which the machine crushes dried fruits?
A. 3___
13
B. 16___
39
C. 2___
7
16
D. 4__
1
3

Answers

The rate at which the machine crushes dry fruit is option (D) 4 1/3 kilograms per minute.

To find the rate at which the machine crushes dry fruit, we need to divide the amount of fruit crushed by the time taken. We can convert the mixed number of 3 1/4 kilograms to an improper fraction as follows

3 1/4 = (3 x 4 + 1)/4 = 13/4

So the rate at which the machine crushes dry fruit is

rate = amount of fruit crushed / time taken

= (13/4) / (3/4)

= 13/4 x 4/3

= 13/3

Convert to mixed fraction

= 4 1/3

Therefore, the correct option is (D) 4 1/3

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The given question is incomplete, the complete question is:

A processing machine crushes 3 1/4 kilograms of dry fruits in 3/4 minute. What is the rate, in kilograms per minute, at which the machine crushes dry fruit? A. 3/13 B. 16/39 C. 2 7/16 D. 4 1/3

Graph the inequality y is greater than or equal to one third times x plus one.

The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading below the line.
The graph shows a dashed line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.
The graph shows a dashed line that passes through negative 3 comma 0 and 0 comma 1, with shading below the line.

Answers

Answer:

Step-by-step explanation:

The inequality y ≥ (1/3)x + 1 represents all the points that lie on or above the line y = (1/3)x + 1.

To graph this line, we can first plot the y-intercept at (0, 1). From there, we can use the slope of (1/3) to find additional points on the line.

For example, if we move one unit to the right (x = 1), we would move up one-third units (y = 1 + 1/3), giving us the point (1, 4/3). Similarly, if we move two units to the right (x = 2), we would move up two-thirds units (y = 1 + 2/3), giving us the point (2, 5/3).

To indicate that the inequality includes points on the line, we use a solid line.

Finally, to determine which region to shade, we can test a point not on the line. For example, the point (0, 0) is below the line, so we shade the region above the line.

Therefore, the correct answer is: The graph shows a solid line that passes through negative 3 comma 0 and 0 comma 1, with shading above the line.

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