Jonas is a runner. He ran m miles last week. His goal this week was to run one mile more than twice the miles he ran last week. If he tripled his goal, write an expression in simplest form to show how many more miles he ran this week compared to last.

Step-by-step explanation:

NP is the radius of the fictitious circle with center in P.

sin(P) = sqrt(55)/NP

Pythagoras gives us NP :

c² = a² + b²

so

NP² = 55 + 45 = 100

NP = 10

therefore,

sin(P) = sqrt(55)/10

Taking into account the definition of a system of linear equations, the amount generated by person​ A's tour is ​$171 ​million, and the amount generated by person​ B's tour is ​$143 million.

A system of linear equations is a set of linear equations that have more than one unknown, related by the aforementioned equations and whose objective is to find out their values.

Then, solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

A + B= 314 million

B= A - 28 million

From the several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, substituting the second equation in the first one you get:

A + A - 28 million= 314 million

Solving:

A + A= 314 million + 28 million

2A= 342 million

A= 342 million÷ 2

A= 171 million

Substituting this value in the second equation:

B= A - 28 million

B= 171 million - 28 million

B= 143 million

Finally, the amount generated by person​ A's tour and B's tour is $171 million and $143 million respectively.

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Answer: When the number of classes is 1 or 2, fishing is less expensive.

When the number of classes is 3 or 4, canoeing is less expensive.

Step-by-step explanation:

Two fishing classes are less than two canoeing classes; three or four canoeing classes are than three or four fishing classes.

Answer:

Theusage is 585 minutes of call duration..

Explanation:

Fixed plan cost is M=$.39.95

Charge for first 500 minutes call: Free

Charge for call exceeding 500 minutes: $.0.35/minutes.

Let x minutes be the total call duration.

The bill is P=$.69.70 i.e. more than $.39.95, which indicates

call duration is more than 500 minutes.

The rule states that bill for call exceeding 500 minutes is

P=M+(x−500).0.35 or

69.70=39.95+(x−500).0.35 or (x−500).0.35=69.70−39.95 or

(x−500).0.35=29.75 or (x−500)=

0.35

29.75

or

(x−500)=85 or x=500+85=585 minutes.

The usage is 585 minutes of call duration .

Step-by-step explanation:

hope this helps

The number of students  that are studying abroad in 2001 is 150.38 thousand

The number of students that are studying abroad in 2018 is 467.53 thousand

The given equation that represents the growth in the number of students that are studying abroad is known as an exponential equation. An exponential equation is a non-linear equation.

The given exponential equation is 123.1(1.069)^x

Where:

Number of students studying abroad in 2001 = 123.1(1.069)^3= 150.38 thousand

Where x = 2001 - 1998 - 3

Number of students studying abroad in 2018 = 123.1(1.069)^20 = 467.53 thousand

Where x = 2018 - 1998 = 20.

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2.388 is the margin of error for a 90% confidence interval will be standard deviation.

What does the standard deviation of the sample mean?

Sample size n=30

Sample standard deviation s= 7.7

t critical at alpha =0.10, for 29 d.f. is 1.699

Margin error = t critical ×s/√n

=1.699×7.7/√30 = 2.388

Margin error =2.388

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The solution  to the linear inequality  is (2, 1).

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. These figures are referred to as the equation or inequality's solutions. A set of such values is called a solution set to the considered equation or inequality.

we have given that the linear inequality y < Negative one-half + 2

y < - 1x/2 + 2

The solution of the inequality is the shaded area below the dashed line;

y = - 1x/2 + 2

The slope of the dashed line is negative 1/2.

The y-intercept of the dashed line is the point (0,2) and the x-intercept of the dashed line is the point (4,0).

Noted that Any point that lies on the shaded area is a solution to the inequality and if a point is a solution to the linear inequality, then the point must satisfy the inequality.

The complete question is : Which point is a solution to the linear inequality y < Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)

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Answer:(3,-2)

Step-by-step explanation: edge 2022

Answer:

1

Step-by-step explanation:

The coefficient of an algebraic expression (-x+3) corresponds to the number that precedes (or multiplies) the variables in it 1.

The amount between  $2 and $10 wiill be: (A) $8, (B) $10,  (C) $50 - ∞ ,  (D) Khushboo ,(E) Real fruit, (F) Chips

What I an amount between $2 and $10? (A) $8

What I an amount between $10 and $20? (B) $10

What I an amount greater than $50? (C) $50 - ∞

What I your name? (D) Khushboo

What I the name of an item that you will buy only once? (E) Real fruit

What I the name of an item that you will buy more than once? (F) Chips

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Answer:Nothing further can be done with this topic. 6y=22,x=−5y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute the value of x (-5y) into the equation. Which gives you -5y-6y=22, add like terms and you get -11y=22. Divide both sides by -11 and you get y=-2

Answer:

0.0401907 = 0.040 (to 3dp)

Answer: y=1/2x+1

Step-by-step explanation:

Use the equation y=mx+b

Insert the points and slope: 3=1/2(4)+b

Simplify: 3=2+b

Simplify: 1=b

Final equation: y=1/2x+1

Based on given details  i would say a reasonable expectation would be about 6 children .

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

For the question above, we will use probability.

after 4 children, there is 37.5% chance you have 2 boys/2 girls

after 5 children, there is 62.5% chance you have at least 2boys/2 girls

after 6 children, there is 78% chance you have at least 2boys/2 girls

after 8 children, there is 93% chance you have at least 2boys/2 girls ...

based on this i would say a reasonable expectation would be about 6 children

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Answer:

2 in 5 or 40%

Step-by-step explanation:

The total number of ways can these dice be rolled so the numbers on the faces sum to a total of 20 is 300

The number of ways of partitioning 20 into exactly 10 distinct parts with  the 6 numbers {1,2,3,4,5,6} we have:

30 partitions of 20 into ten distinct parts.

The 30 distinct partitions with the sum 20 are:

  1.) {2,2,2,2,2,2,2,2,2,2}

  2.) {1,2,2,2,2,2,2,2,2,3}

  3.) {1,1,2,2,2,2,2,2,3,3}

  4.) {1,1,2,2,2,2,2,2,2,4}

  5.) {1,1,1,2,2,2,2,3,3,3}

  6.) {1,1,1,2,2,2,2,2,3,4}

  7.) {1,1,1,2,2,2,2,2,2,5}

  8.) {1,1,1,1,2,2,3,3,3,3}

  9.) {1,1,1,1,2,2,2,3,3,4}

 10.) {1,1,1,1,2,2,2,2,4,4}

 11.) {1,1,1,1,2,2,2,2,3,5}

 12.) {1,1,1,1,2,2,2,2,2,6}

 13.) {1,1,1,1,1,3,3,3,3,3}

 14.) {1,1,1,1,1,2,3,3,3,4}

 15.) {1,1,1,1,1,2,2,3,4,4}

 16.) {1,1,1,1,1,2,2,3,3,5}

 17.) {1,1,1,1,1,2,2,2,4,5}

 18.) {1,1,1,1,1,2,2,2,3,6}

 19.) {1,1,1,1,1,1,3,3,4,4}

 20.) {1,1,1,1,1,1,3,3,3,5}

 21.) {1,1,1,1,1,1,2,4,4,4}

 22.) {1,1,1,1,1,1,2,3,4,5}

 23.) {1,1,1,1,1,1,2,3,3,6}

 24.) {1,1,1,1,1,1,2,2,5,5}

 25.) {1,1,1,1,1,1,2,2,4,6}

 26.) {1,1,1,1,1,1,1,4,4,5}

 27.) {1,1,1,1,1,1,1,3,5,5}

 28.) {1,1,1,1,1,1,1,3,4,6}

 29.) {1,1,1,1,1,1,1,2,5,6}

 30.) {1,1,1,1,1,1,1,1,6,6}

These pairs can be arranged each in 10 ways.

Therefore, 10× 30

= 300

Hence the number of partitions is 300.

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Desmos graphing calculator is a life saver for questions like this

Answer:

option 3

Step-by-step explanation:

2x + 5y = 20

to bring this to a staffers equation with y on one side and everything else on the other, we see that we get a negative x term. that means the line goes down when going from left to right.

5y = -2x + 20

y = -2/5 x + 4

so, we also see that the y-intercept is 4.

so, option 3 is correct.

1.386  is the sample variance .

What does the standard deviation of the sample mean?

Step 1:Add them up:

9.0 +  7.3 +  6.0 +  8.8 +  6.8 +  8.4 + 6.6  = 52.9

Step 2: Square your answer:

52.9 × 52.9 = 2798.41

…and divide by the number of items. We have 7 items in our example so:

2798.41 / 7 = 399.773

Set this number aside for a moment.

Step 3: Take your set of original numbers from Step 1, and square them individually this time:

9.0^2 +  7.3^2 +  6.0^2 +  8.8^2 +  6.8^2 +  8.4^2 + 6.6^2 = 408.09

Step 4: Subtract the amount in Step 2 from the amount in Step 3.

408.09 - 399.773 = 8.317

Set this number aside for a moment.

Step 5: Subtract 1 from the number of items in your data set. For our example:

7 – 1 = 6

Step 6: Divide the number in Step 4 by the number in.

This gives you the variance:

8.317/ 6 = 1.386

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Answer: The volume of the sculpture is approximately 14 894 m3

Explanation v=lwh

v=(29)(33)(15)

v=14366

formula for the volume of a right cylinder.

The radius

r=1/2(7m)

r=3.5m

v=3.14(r)^2h

v=3.14*(3.5)^2(14)

v=538

The volume of the sculpture is:

14355+538

which is eq to 14893        

q 2 .....

The surface area of the sculpture is approximately 4082 m2

Answer:

Step-by-step explanation:

72

Answer:

72

Step-by-step explanation:

The way to find the average rate of change between two points is to divide [tex]\frac{f(a)-f(b)}{a-b}[/tex].
1.) We plug the points into the formula. If you plug them in, you get [tex]\frac{2(3)^4-2(3)^2}{4-2}[/tex].
2.) Simplify. If we simplify, we get 3^4-3^2=72

Answer:

3*x+6

Step-by-step explanation:

formulate

3*x+6

Answer:

1. m∠5 + m∠6 = 180° ...........Linear Pair

2. ∠ 2+ ∠ 3 = ∠ 6.................Exterior angle Property of Triangle

3. m∠2 + m∠3 + m∠5 = 180° .....Triangle Sum Property

The derivative of f(g(x)) with respect to x is  f'(1/x).

The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.

Given that, g(x)=ln x

Differentiation of ln x = 1/x

Hence, The derivative of f(g(x)) with respect to x is  f'(1/x).

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The least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)

What is LCD in Rational Expression ?

The denominators' smallest common multiple is called the LCD. We factor the expressions and multiply each unique factor to obtain the LCD of two rational expressions.

The given expression is,

(x + 2) / (x² + 7x - 8) , (x - 6) / (x² +10x + 16)

Let,

(x + 2) / (x² + 7x - 8)     --------eq(i)

(x - 6) / (x² +10x + 16)   ----------- eq(ii)

First take the denominator of eq(i)

The denominator is = x² + 7x - 8

We know, this is quadratic equation so just solve this equation

⇒ x² + 8x - x - 8

⇒ x(x + 8) - 1(x + 8)

⇒ (x - 1) (x + 8)

Next, take the denominator of eq(ii)

The denominator is = x² + 10x + 16

And, this is also a quadratic equation so the factors are,

⇒ x² + 8x + 2x + 16

⇒ x(x + 8) + 2(x + 8)

⇒ (x + 2) (x + 8)

So, after solving both the denominators we get the factors ,

(x - 1) (x + 8) and (x + 2) (x + 8)

As, we see (x + 8) is common just write it once and else terms write as it is,

LCD = (x + 8) (x - 1) (x + 2)

Therefore, the least common denominator for the rational expression is (x + 8) (x + 2) (x - 1)

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Answer:

8/x^3

Step-by-step explanation:

(2x^-1)^3

First, we must use the power-to-power rule to eliminate the double exponents. When a power is raised to a power, we must multiply them. This makes the exponent of x-3 and makes two into 8.

8x^-3

We can eliminate negative exponents by bringing their subject to the opposite side of the fraction line, so in this case, we bring down the x^-3 to the bottom, making it x^3. The final answer is:

8/x^3

For the given rectangle, the area for given rectangle is 257 1/4 in. and length of a rectangle is 10 1/2 in. then its width is given by 24 1/2 in.

As given in the question,

For the given rectangle,

Area of a given rectangle is equal to 257 1/4 in.

length of a given rectangle is 10 1/2 in.

Let w be the width of a rectangle we have,

Area of a rectangle = length × width

257 1/4 = 10 1/2 × w

Convert mixed fraction into proper fraction we get,

(1029 /4) = (21/2) × w

⇒ w = (1029 ×2) / (21 × 4)

⇒ w = 49 /2

⇒ w = 24 1/2 in.

Therefore, for the given rectangle, the area for given rectangle is 257 1/4 in. and length of a rectangle is 10 1/2 in. then its width is given by 24 1/2 in.

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Answer:

Step-by-step explanation:

A formula that is used to find the time period of a cyclic phenomena based on the frequency as follows

T=1/f

f is frequency

We need to solve the formula for f in terms of T. Cross multiplying the above formula such that :

Therefore, this is the required explanation.

0.231140  is the probability that eight have relief within a few minutes .

What is probability explain with an example?

let X be the number of patients having relief within a few minutes out of 12 patients.

so X~ Bin(12,p)  where p=0.70

so P[8 have relief within a few minutes]=P[X=8]

                                         = ¹²C⁸ * 0.78 * 0.34

                                            = 0.231140

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Answer: A

Step-by-step explanation: hope this helps!

please give brainliest!

Answer:

A. Michael must get a degree in engineering LOLLLLL