Does (2, 3) make the equation y = x true?

Answer:

m=4

n=3

Step-by-step explanation:

m+2n=10

2n+3m=18

Subtract

-2m=-8

m=4

Solve for n

(4)+2n=10

2n+3(4)=18

2n=10-4

2n=18-12

2n=6

n=3

Answer:

131x-22

Step-by-step explanation:

6(23x-5)-7x-8

138x-30-7x-8

138x-7x-30-8

131x-22

hope dis helps!!!!

Answer:

B

Step-by-step explanation:

To find the length of the longest side of the triangle, first sketch the triangle. A graph paper is not needed here.

In this case we have a right-angled triangle, since the ends of the adjacent side has the same y-coordinate of 1 and the opposite side has the same y-coordinate of 5.

In a right-angled triangle, the hypotenuse side is the longest. The length of the hypotenuse side can be found using 2 methods.

1) Pythagoras' Theorem

a² +b²= c²

(adjacent)² +(opposite)²= (hypotenuse)²

Length of adjacent

= 5 -(-2)

= 7 units

Length of opposite side

= 4 -1

= 3 units

(hypotenuse)²

= 7² +3²

= 58

hypotenuse= \( \sqrt{58} \)

2) Distance formula

Since we know that the hypotenuse side is the longest, we can simply find the length of the hypotenuse side instead of calculating the length of each side.

\(\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)

Length of longest side

= distance between (5, 4) and (-2, 1)

\( = \sqrt{(4 - 1) {}^{2} + (5 - ( - 2)) {}^{2} } \)

\( = \sqrt{3 {}^{2} + {7}^{2} } \)

\( = \sqrt{58} \)

Thus, the length of the longest side is \( \sqrt{58} \) units.

Answer:

slope = -1/2

Step-by-step explanation:

m=mx+b so y=-1/2x+1  x is ur slope

Answer:

5,000 passengers

Step-by-step explanation:

1. Find out how many trains leave each hour.

6 min – 60/6 = 10 x 200 passengers = 2000

10 min – 60/10 = 6 x 200 passengers = 1200

12 min – 60/12 = 5 x 200 passengers = 1000

15 min – 60/15 = 4 x 200 passengers = 800

2. Add it all up.

2000 + 1200 + 1000 + 800 = 5000 passengers

Answer:

5000

Step-by-step explanation:

6 minute train leaves 10 times

10 x 200 = 2000 passengers

10 minute train leaves 6 times

6x200 = 1200

12 minute train leaves 5 times

5x200 =1000

15 minute train leaves 4 times

4x200 =800

2000+1200+1000+800=5000

assuming more than 1 train can be at the station at once

Answer:

It will take them 7.89 days

Answer:

1/24

Step-by-step explanation:

1/8 divided 3/1

1/8 x 1/3=1/24

Answer:

-1

Step by step explanation:

\(\dfrac{4^3/(-12+2^2)}{(2\cdot 3)^2+(-5 \cdot 2 \cdot 3) +2}\\\\\\=\dfrac{-\tfrac{64}8}{36-30+2}\\\\\\=-\dfrac{8}{8}\\\\=-1\)

The missing options from the surface area problem are;

1. 680in²

2. 128in²

3. 240in²

4. 1048.in²

1) To completely stain the bottom of the rectangular prism,

We must remove the area base of the cubes from the surface area of the base (cuboid)

(6 x 8 x 2) + (22 x 8 x 2)  + (22 x 6 x 2) - (4 x 4 x2)

= 48 x 2 + 22 x 10 + 22 x 12 - 32

= 680in²

2) For one of the cubes to be stained, he had to cover

4 x 4 x 8

= 128in²

3) To completely stain the top rectangular prism, he had to cover

(18 x 5 x 2) + (2 x 5 x 2) + (18 x 2 x 2) - (4 x 4 x 2)

= 18 x 10 + 2 x 10 + 18 x 4 - 32

= 240in²

4) Once the stool was fastened together, he applied a coat of sealant to all exposed surfaces of the stool, including the bottom, to cover a total of

= 680 + 128 + 240

= 1,048in²

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Answer:

50 Pushups

Step-by-step explanation:

Because if she does 10 this morning and thats 20% do the math. 10 pushups x 5 = 50 Pushups and thats 100% so its 50

Answer:

50

Step-by-step explanation:

(a) Matched pairs t-test

(b) The test statistic is 5.4508.

(c) The critical value is 3.2502.

(d) Answer B. yes is correct.

(a) The test method to be used to consider (Test A - Test B) with a 0.01 significance level to test the claim that people do better on the second test than they do on the first is Matched Pairs.

(b) The test statistic is calculated using the formula

t = d/ (s/ √n). Here, d is the difference between the two sets of data, s is the standard deviation of the differences and n is the number of matched pairs in the sample.

Since the sample size is small and the population variance is unknown, the t-distribution should be used. If the value of t lies in the critical region, then the null hypothesis is rejected. Using the data given, we have,

Mean of differences = 5

The standard deviation of differences = 4.5826

n = 10

t = 5 / (4.5826 / √10)

t = 5.4508

(c) The critical value is obtained from the t-table, using a significance level of 0.01 and 9 degrees of freedom. The critical value is 3.2502.

(d) Since the calculated t-value (5.4508) is greater than the critical value (3.2502), we reject the null hypothesis. Therefore, there is sufficient evidence to support the claim that people do better on the second test than they do on the first. The answer is B. Yes.

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The backward finite difference operator and the average operator are related in that they both approximate derivatives of a function.

The backward finite difference operator is a numerical approximation technique used to estimate the derivative of a function at a specific point. It involves considering the difference between the function values at the current point and a preceding point. By dividing this difference by the step size between the two points, the backward finite difference operator provides an approximation of the derivative.

On the other hand, the average operator calculates the average value of a function over an interval. It involves dividing the integral of the function over the interval by the length of the interval. The result is a single value that represents the average behavior of the function over the given interval.

The connection between the backward finite difference operator and the average operator lies in their underlying principles. Both operators involve taking the difference or average of function values to approximate the behavior of the function. While the backward finite difference operator focuses on estimating the derivative at a single point, the average operator provides an overall summary of the function's behavior over an interval. Therefore, the backward finite difference operator can be seen as a specific case of the average operator, where the interval is reduced to a single point.

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The distance between two buoys by the trigonometric function will be 175.48 feet.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given situation is making a right angle triangle.

By tan trigonometric function,

tan21.3° = BC/450

BC = 175.48 feet

Hence "According to the trigonometric function, there will be 175.48 feet between two buoys.".

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The proportion of randomization samples that have a correlation coefficient as extreme or more extreme than the observed value of r.

The hypothesis test given is a two-tailed test, because the alternative hypothesis Ha: rho ≠ 0 includes both positive and negative values for rho. A left-tail test would have an alternative hypothesis Ha: rho < 0, and a right-tail test would have an alternative hypothesis Ha: rho > 0.

The sample correlation coefficient is r = -0.20, which indicates a negative linear relationship between the two variables. The sample size is n = 40.

The randomization distribution will be centered at zero, because the null hypothesis is that there is no correlation between the two variables (rho = 0). If the null hypothesis is true, then the sample correlation coefficient should be close to zero.

To perform the hypothesis test, we need to compute the p-value for the test statistic r. This is the probability of obtaining a value of r as extreme or more extreme than the observed value, assuming that the null hypothesis is true. If the p-value is less than the significance level alpha, we reject the null hypothesis in favor of the alternative hypothesis.

The test statistic for this test is r, which is the same as the randomization statistic. We would simulate the null distribution of r by repeatedly permuting the values of one variable and calculating the correlation coefficient between the permuted values and the other variable. We would then compute the p-value as the proportion of randomization samples that have a correlation coefficient as extreme or more extreme than the observed value of r.

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Answer:

i think 2

Step-by-step explanation:

Answer:

Should be the first one. You have $5 flat fee and an additional 10 cents per text. Then you have a $10 flat fee and an additional 5 cents per text. so the first equation would be 0.1x + 5 and the second one would be 0.05x + 10

The volume of the prism is 792 cubic feet.

To find the volume of a rectangular prism, we need to multiply its length, width, and height.

The three-dimensional solid object known as a prism has identical ends and flat sides. The shape of its ends—a rectangular prism or a triangular prism—gives the object its name.

The volume of a prism may be estimated by dividing the area of the base by the height.

Given the dimensions of the prism:

Length = 9 ft

Width = 8 ft

Height = 11 ft

Volume = Length x Width x Height

Volume = 9 ft x 8 ft x 11 ft

Volume = 792 cubic feet

Therefore, the required volume is 792 cubic feet.

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The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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The statement is true about the temperature of the soup over time is

As time increases, the temperature of the soup approaches 72 °F.

We have,

Time in min     5                 10          20         30        45         60        80

temperature  139.503, 109.047, 83.158, 75.361, 72.556, 72.092, 72.008

(in Fahrenheit)

Here from the table we can see that the time in increasing and the temperature is dropping till 72.008 F.

A. As time increases, the temperature of the soup approaches 80 °F.

False

B. As time increases, the temperature of the soup approaches 70 °F.

False

C. As time increases, the temperature of the soup approaches 0 °F.

False

D. As time increases, the temperature of the soup approaches 72 °F.

True

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The only possible statement is option I, x > y > z. The correct answer is A. I only. Since z⁴ is always less than or equal to y², which is always less than or equal to x, we know that x > y² > z⁴ > 0.

Taking the square root of y² > z⁴, we get y > z² > 0.

Therefore, we know that y is greater than z², and since x is greater than y², we can also say that x is greater than z⁴.

With this information, we can eliminate option II as it suggests that z is greater than x, which we know is not true.

We can also eliminate option III as it suggests that z is greater than y, which we know is not true either.

Therefore, the only possible statement is option I, x > y > z.

Hence, the correct answer is A. I only.

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Answer:

132

Step-by-step explanation:

The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be f ( x ) = y

Now , the value of the function f ( 3 ) is given in the equation as

f ( 3 ) = -1

And the value of the function f ( 6 ) is given in the equation as

f ( 6 ) = 1

So ,

when x = 3 , y = -1

and when x = 6 , y = 1

Now , we have two points A ( x₁ , y₁ ) and B ( x₂ , y₂ )

A ( x₁ , y₁ ) = A ( 3 , -1 )

B ( x₂ , y₂ ) = B ( 6 , 1 )

Now ,

To find the slope of the equation , we use

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

Slope m = ( 1 - ( -1 ) ) / ( 6 - 3 )

              = 2 / 3

Now , the equation of line will be y - y₁ = m ( x - x₁ ) ,

So , substituting the value of m , we get

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

y + 1 = ( 2/3 )x - 2

Subtracting 1 on both sides , we get

y = ( 2/3 )x - 3

Therefore , the equation of line will be y = ( 2/3 )x - 3

Hence , The linear equation for the function is f ( x ) = y = ( 2/3 ) x - 3

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Answer:

Triangle: True

Parallelogram: False, area is 63cm^2

Trapezoid: True

Step-by-step explanation:

Use area calculators on the internet to find the area of shapes.

It will take 120 minutes to chop down 100 trees.

Bob chops 10 trees in 30 minutes, so he can chop 100 trees in 300 minutes.

Frank chops 15 trees in 30 minutes, so he can chop 100 trees in 200 minutes.

Solve this using the following equation:

15 / 30 = 100 / x

Solving for x gives 120 minutes.

The unitary approach is a way of solving a hassle via first locating the price of a single unit, after which locating the necessary cost with the aid of multiplying the single unit fee.

The formula of the unitary approach is to find the cost of a single unit after which multiply the cost of an unmarried unit via the quantity of units to get the important price.

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The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

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Answer:

10 root 2

Step-by-step explanation:

Refer to attachment.

Hope it helps.

13.) The probability that when a tile is chosen at random it has at least 4 sides and not a hexagon = 5/18

14.) Probability that the tile is not a square and has less than 7 sides= 9/16

To calculate the probability of the given event, the formula that should be used is given as follows:

Probability = possible outcome/sample space

For 13.)

when tile has at least 4 sides;

possible outcome= 12+8 = 20

sample space = 60

p(at least 4 sides) = 20/60 = 1/3

When not a hexagon;

possible outcome = 12+15+8+6+9= 50

p(not a hexagon) = 50/60= 5/6

The probability that when a tile is chosen at random it has at least 4 sides and not a hexagon;

= 1/3×5/6

= 5/18

For 14.)

when tile is not a square;

possible outcome= 60-15= 45

p(not a square)= 45/60= 3/4

p(less than 7 sides)

possible outcome= 12+15+8+10= 45

p(less than 7 sides) = 45/60 = 3/4

Probability that the tile is not a square and has less than 7 sides= 3/4×3/4= 9/16

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Answer:

A, -11

Step-by-step explanation:

f(x)=-3x(-2)+1

=-3(4)+1

=-12+1

=-11

Step-by-step explanation:

f(x)=3x²+1

f(-2)=3(-2)²+1

= -12+1

=-13 ans

Answer:

66 points

Step-by-step explanation:

50*1.32 = 66

Answer:

82....…...…..….………………………

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

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Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2