Find the equation of the line
Y= x+
Use exact numbers

Answer:

Step-by-step explanation:

35.26    rounded to  35.3

8.32   rounded to        8.3

6.78    rounded to       6.8

35.3 + 8.3 = 43.6

43.6 + 6.8 = 50.4

The answer is 50.4.

39.26 rounds to 35.3

8.32 rounds to 8.3

6.78 rounds to 6.8

When you add them together, you get 50.4.

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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______________________________

 - So this means from the choices, \(\sqrt[10]{y}=\sqrt[10]{y}\).

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Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Answer:

the years are longer

Step-by-step explanation:

the planets days and nights length depends on its tilt and rotation speed. so it has nothing to do with that. A and C are wrong

the longer it takes to revolve around the sun the longer the year is, so its not B

Answer:

D. The year got longer

Helpful tip:

If the days got longer then the earths rotation on it's axis would have taken longer

Have a nice day:)

Answer:

1 and 7/8.

Step-by-step explanation:

Two and a half= 5/2

5/2 x 3/4 = 15/8 = 1 7/8

The value of x in 7-3(2x-1)= 2x+26 is -4

Linear equation is is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3= 0 has only one solution as x = -3.

To find x in 7-3(2x-1)= 2x+26 ,we solve the parentheses first which will give

7- 6x+3= 2x+26

collect the like terms

-6x-2x=26-3-7

-8x= 16

divide both side by -8

-8x/-8= 16/-8

therefore x= -2

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Answer:

13x

Step-by-step explanation:

12x+1x

Combine like term

13x

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(12x+1x\\13x\)

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

59

Step-by-step explanation:

To find h(-3), we simply need to plug in -3 for x in the expression for h(x):

h(-3) = 6(-3)² + 5

h(-3) = 6(9) + 5

h(-3) = 54 + 5

h(-3) = 59

Therefore, h(-3) is equal to 59.

log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Answer:

C. 20 feet

Step-by-step explanation:

Let x = width

Let y = length

If the length is at least 10 feet longer than the width:

⇒ x + 10 ≤ y

⇒ x ≤ y - 10

If the perimeter is to be no more than 100 ft:

⇒ 2x + 2y ≤ 100

⇒ x + y ≤ 50

⇒ x ≤ 50 - y

Equate the equations for x and solve for y:

⇒ y - 10 = 50 - y

⇒ 2y = 60

⇒ y = 30

Substitute found value of y into one of the inequalities for x:

⇒ x ≤ 30 - 10

⇒ x ≤ 20

Therefore, the maximum possible width of the fence is 20 feet.

Answer:

y= total charge for cleaning

x= number of hours of cleaning

Equation y=15+17x

For example, if the company cleaned for 2 hours it would be y=17+15(2)

y=17+30

y= 30 dollars

Hope this helps!

Answer:

  (a)  ΔARS ≅ ΔAQT

Step-by-step explanation:

The theorem being used to show congruence is ASA. In one of the triangles, the angles are 1 and R, and the side between them is AR. The triangle containing those angles and that side is ΔARS.

In the other triangle, the angles are 3 and Q, and the side between them is AQ. The triangles containing those angles and that side is ΔAQT.

The desired congruence statement in Step 3 is ...

  ΔARS ≅ ΔAQT

The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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Answer:

I believe the answer is A. true

Answer:

True

Step-by-step explanation:

The probability that all three number cubes will land on an odd number is 1/8

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

Number of cubes = 3

Sections on each cube = 6

Odd sections on each cube = 3

This means that

P(Odd) = Odd sections/Total sections

So, we have the following representation

P(Odd) = 3/6

Simplify

P(Odd) = 1/2

For the three cubes, we have

P(All odd) = P(Odd)^Number of cubes

Substitute the known values in the above equation, so, we have the following representation

P(All odd) = (1/2)³

Evaluate

P(All odd) = 1/8

Hence, the probability is 1/8

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Answer: 1/8

    ;

 ; l       .

                        .

      /.         ;      

      .

\((f\circ g)(2)=\dfrac{1}{4\cdot2+9}=\dfrac{1}{17}\\\\(f+g)(2)=\dfrac{1}{2}+4\cdot2+9=\dfrac{1}{2}+17=\dfrac{1}{2}+\dfrac{34}{2}=\dfrac{35}{2}\)

Answer:

The number of coins is missing, so I looked for a similar question:

Darla counted 472 pennies, 319 nickels, 436 dimes, and 271 quarters

Darla can make:

9 rolls of pennies (worth $4.50)

7 rolls of nickels (worth $14)

8 rolls of dimes (worth $40)

6 rolls of quarters (worth $60)

total amount of money = $118.50

Answer:

Step-by-step explanation:

\(\frac{2}{5} : \frac{1}{15}\\\)

LCM of the denominator = LCM ( 5 , 15 ) = 15

∴ Now we have to multiply LCM by both the fractions , we get ,

\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)

The equation for the first option would be

Where "x" is the number of copies and y the cost.

The second equation will be

If we graph both equations we have

As we can see, they will be equal in terms of cost with 2 copies. The cost will be 50.

We can see it at the intersection of the two graphs! we can also do it with algebra, if the costs are equal (same "y") we can say

The number of copies is 2.

x= miles driven

y=price

The Red Cab Company equation

The Yellow Cab Company equation

we can do the next inequality in order to know what is the company she can take in order to minimize the cost

If the airport is located less than 15 miles from the starting point of the travel, the Red Cap Company is the one with less cost

If the airport is located exactly 15 miles from the start point of travel the price of the two companies is exactly the same

If the airport is located more than 15 miles from the start point of travel the price of the Yellow Cab Company is the one with less cost

Answer: 10 plates

Step-by-step explanation:

The radius of one plate is 8, which implies its diameter is 16.

There must be a 2 inch gap between plates so 16 + 2/2 = 17 cm is how much room each plate needs.

The tray is 40 cm wide. How many 17 cm plates can you fit in that width? 2

The tray is 90 cm long. How many 17 cm plates can you fit in that length? 5

The number of plates that fit on the tray is rows x columns (length x width)

= 2 x 5

= 10

Since 25 tennis players played a tournament in one round (each played with each exactly 1 time), and among any five players, there is a player who won from all the other four, and a player who lost to all the other four, To prove that if tennis player A won from tennis player B, and tennis player B won from tennis player C, then tennis player A won from tennis player C, the following mathematical logical reasoning must be performed:

Given that in every group of 5 players, there will be one who won 4 matches and another who lost 4 matches, and as there is no tie in tennis, the following results may occur:

Thus, the given relationship is demonstrated, with which the proposal is correct.

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The standard deviation of the variable "Defects in batch" is approximately 0.47.

The closest answer in the options is (C) 1.51.

The standard deviation is described as a measure of the amount of variation or dispersion of a set of values.

Standard Deviation is given as  = √(sum(p(x - μ)^2) / n)

Where μ = sum(xp)

= 2 * 0.35 + 3 * 0.23 + 4 * 0.20 + 5 * 0.09 + 6 * 0.07 + 7 * 0.06

= 2.49

substituting the values into the standard deviation formula, we have :

SD = √(sum(p(x - μ)^2) / n)

= √((0.35 * (2 - 2.49)^2 + 0.23 * (3 - 2.49)^2 + 0.20 * (4 - 2.49)^2 + 0.09 * (5 - 2.49)^2 + 0.07 * (6 - 2.49)^2 + 0.06 * (7 - 2.49)^2) / 6)

= √(1.32 / 6)

= √(0.22)

= 0.47

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The standard deviation of this variable is given as follows:

1.51.

Before obtaining the standard deviation, we must obtain the expected value, which is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 2 x 0.35 + 3 x 0.23 + 4 x 0.20 + 5 x 0.09 + 6 x 0.07 + 7 x 0.06

E(X) = 3.48.

Then we obtain the sum of the differences squared between each observation and the mean, multiplied by it's respective probabilities, hence:

(2-3.48)² x 0.35 + (3-3.48)² x 0.23 + (4-3.48)² x 0.20 + (5-3.48)² x 0.09 + (6-3.48)² x 0.07 + (7-3.48)² x 0.06 = 2.2696.

The standard deviation is the square root of this sum, hence:

S(X) = sqrt(2.2696)

S(X) = 1.51.

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Answer:

The answer is 8

Step-by-step explanation:

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Answer:

x = −68

Step-by-step explanation:

make me brainliest please !! <3

Answer:

x = -68

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 6*(x+8)-(5*(x-4))=0

(6 • (x + 8)) -  5 • (x - 4)  = 0

6 • (x + 8) -  5 • (x - 4)  = 0

x + 68  = 0

Solve:    x+68 = 0

Subtract  68  from both sides of the equation:  x = -68

I hope this helps! Please mark this as braiinlest.

Thanks!

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.