Simplify. 2–3 Write your answer in the form a+b.

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Using the formula for finding area of a rectangle we can get the area of the shaded region = 106 sq. meters.

The formula for calculating a rectangle's area can be used to determine how much space the rectangle takes up within its perimeter. The area of a rectangle is determined by multiplying its length by its width (breadth). The following formula can be used to get the area of a rectangle whose length and breadth are "l" and "w," respectively. L * W = the rectangle's area. Hence, the area of a rectangle is equal to length × width

Here, in the given figure, area of the small rectangle =

length × breadth

= 7 × 2

= 14 sq. meters

Now area of the shaded region =

12 × 10

=120 sq. meters.

Therefore, area of the shaded region = 120 - 14

= 106 sq. meters

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The volume of the frustum of right circular cone =  7730 cube

The volume of the frustum of the right circular cone:

The formula for the Volume of Frustum of Cone (V)=\(\frac{1}{3} \pi H (R^2+r^2+Rr )\)

where,

         H = Height of frustum

         R = Radius of lower base

         r = Radius of top base

According to given question,

      Height of frustum(H) = 30 units

       Radius of lower base(R) = 21 units

        Radius of top base (r) = 11 units

Substituting all the given values in the formula of volume of the frustum of the cone we will get,

    The volume of a frustum of a right circular cone(V)   =\(\frac{1}{3} \pi H (R^2+r^2+Rr )\)

                                                                            \(=\frac{1}{3}*30(21^2+11^2+21*11)\\\\=10*(441+121+211)\\=10*(773)\\=7730 unit^3\)  

The volume of the frustum of the right circular cone =  271.22

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Answer:what are all the choices

Also it’s 0

Step-by-step explanation:

Answer:

The answer you want is indeed, (C).

8.04

ED2021

Answer:

C) 8.04

Step-by-step explanation:

edge 2023

Answer:

???

Step-by-step explanation:

Answer:

5 3/4

Step-by-step explanation:

divide 23 by 4

its 5 a with a remainder of 3

the remainder 3 goes on top of the 4

5 3/4

Answer: Heyaa!

Your Answer Is... 5 3/4

Step-by-step explanation:

Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Hopefully this helps you !

- Matthew ~

The probability of getting at least two heads is 0.965

Given that

Number of times fair coin tossed = 8

Since we know

The probability of getting head  in single toss = 1/2

And  probability of getting tail  in single toss = 1/2

Now, there are 247 combinations to get least two heads (256—1–8=247).

Therefore,

The probability of getting at least two heads

=  247/256 or 0.965…

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Yes, If there are any outliers in the data set, the standard deviation will be large since the deviation from the mean will have increased. Therefore, if the outliers are eliminated, the standard deviation will be reduced, probably reflecting the true features of the population.

The impact on the standard deviation increases with the outlier's extremeness. Outliers make your data more variable, which reduces statistical power. Therefore, eliminating outliers can make your findings statistically significant. A removal of an outlier will have an impact on the mean. The standard deviation will decrease if the outlier was larger than the mean.

The standard deviation will increase if the outlier was less extreme than the mean. It's best to get rid of outliers only when there's a good cause to. Some outliers in your dataset represent normal population variance and ought to be left alone. They are referred to as real outliers.

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

All the possible numbers:

numbers greater than 400:

your answers : 527, 572, 725, 752

mrk as brainleist ☺️

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:55 :o

Step-by-step explanation:

Answer:

58 in

Step-by-step explanation:

Perimeter = the distance all the way around the outside of a 2D shape.

To work out the perimeter, add up the lengths of all the sides.

Perimeter = 3 + 7 + 3 + 5 + 3 + 9 + 5 + 17 + 2 + 4 = 58 in

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

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Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

A

Step-by-step explanation:

YEA

Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.

So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.

Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.

So, it is a rectangular garden.

Now, area = 5⅔ feet × 6⅚ feet

or, area = 17/3 feet × 41/6 feet

or, area = 697 /18 feet²

or, area = 38.72 feet²

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Answer:

3x - 20 = y

Step-by-step explanation:

Answer:

Easy

Step-by-step explanation:

Just multiply 3×20 and you'll get your answer

Answer:

In Geometry, there are five fundamental angle pair relationships:

Complementary Angles.

Supplementary Angles.

Adjacent Angles.

Linear Pair.

Vertical Angles.

The measure of the angle u and angle t will be 29 degrees.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angle u is congruent to angle t.

From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,

∠t + ∠u + 122° = 180°

∠t + ∠t  = 58°

2∠t = 58°

∠t = 29°

The measure of the angle u and angle t will be 29 degrees.

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Answer:

Carlos will need 8 shelves to arrange all the books. He will need 4 shelves for the 32 novels and 3 shelves for the 24 autobiography books.

Step-by-step explanation:

Hope this helps

Answer:

7 shelves will be used by carlos, 3 shelves for autobiographies and 4 shelves for novels

Each shelf there would be 8 books

HOPE IT HEIPS YOU

Answer:

1 1/12 ft

Step-by-step explanation:

12 inch per foot

13in - 12in = 1 in

1 in left over

1 1/12

Answer:

1ft. 1in.

6/1 is the answer

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

selling price: $98.48

markdown price: $31.52

explination

find the difference between the beginning price and the decreased price, then we find the percentage by dividing the difference by the beginning price

Answer:

31$

Step-by-step explanation:

Answer:

612 dollars

Step-by-step explanation:

From the given information:

Amount of the total mixture = 6000 pounds

Also, for each batch, there needs to be at least 25% bluegrass seed.

It implies that:

In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.

The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.

Suppose the amount of rye seeds = x pounds

while that of Bermuda is (4500 - x) pounds

Then, since the amount of Bermuda contains no more than 2/3 of that of rye.

The equation can be written as:

\(( 4500 - x) = \dfrac{2x}{3}\)

13500 - 3x = 2x

13500 = 5x

\(x = \dfrac{13500}{5}\)

x = 2700

Now, the amount of rye seed = 2700 pounds

while that of Bermuda seed = 4500 - 2700 = 1800 pounds

However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.

So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents

For rye seed; cost of 1 pound = 14 cents

the cost of 2700 rye seeds = 14 × 2700 = 37800 cents

For Bermuda seed; cost of 1 pound = 3 cents

the cost of 1800 rye seeds = 3 × 1800 = 5400 cents

The total amount = (18000 + 37800 + 5400) = 61200 cents

Recall that:

100 cents = 1 dollars

61200 cents = x dollars

x = 61200 cents/100 cents

x = 612 dollars

Thus, the minimum cost is 612 dollars.

Answer:

Step-by-step explanation:

let, the length is z

thus the ratio will be 5z : 4z

perimeter = 2 (a + b)

360 = 2 ( 5z + 4z )

180 = 9z

z = 20 cm

length = 100 cm and width = 80cm

area = length * width

area = 100*80

area = 8000cm²

2 quart of blue paint and 5/4 quart of red paint is needed to make 3 1/4 quart purple paint

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

2/5 quart of blue paint is mixed with 1/4 quart of red paint to make purple paint. Hence:

Ratio of blue paint to red paint = (2/5) : (1/4) = 8 : 5

Therefore for 3 1/4 quart of purple paint:

Amount of blue paint = (8/13) * 3 1/4 = (8/13) * 13/4 = 2 quart

Amount of red paint = (5/13) * 3 1/4 = (5/13) * 13/4 = 5/4 quart

2 quart of blue paint and 5/4 quart of red paint is needed to make the purple paint

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Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

The approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions is 4.03

The term ratio in math defines as an ordered pair of numbers a and b, written a / b where b does not equal 0.

Here we have given that

And we need to determine the approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions.

While we looking into the given question we have identified the following values,

=> Number of pipeline segments = stages in pipeline,

=> n = 5

Here we know that,

=> Clock cycle time per operation = clock cycle per stage = 14 ns

And the number of instructions = 100

Here the formula to calculate the startup is written as,

=> T[without pipeline] = no. of instructions × stages in pipeline × clock cycle per stage

=>  100 × 5 × 14

=> T[with pipeline] = (time for pipelined execution without stalls) + (overhead due to stalls)

=> (5 + 99) × 20 + 20 × 20 = 124 × 20

Therefore, the startup is

=> [500 x 14] / [124 x 14]

=> 4.03

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Answer: 890 commuters carpool

Step-by-step explanation:

10% of 8900 = 890

8900/10= 890

Note: 10% to decimal form is 10

Answer:

10% of 8900

10/100×8900

=890

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