Put these distances in order starting with the smallest.
Please help me I need it asap

The length of the x-component of the vector is 3, the correct option is A.

To find the length of the x-component, count the number of units between the start of the vector (the origin in this case) and the point.

Here we can see that the point is 3 units to the right of the start of the vector, which means that the x-vomponent of the vector is 3.

(and we can see that the y-component is 4) then the vector is <3, 4>

finally we can see that the correct option is A.

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Answer:

x = 45

y = 7

Step-by-step explanation:

To obtain the value of x and y, do the following:

√7 – 3√5

Rearrange

– 3√5 + √7

Multiply through by –1

3√5 – √7 ... (1)

Express 3√5 as a single surd

3√5 = √(3 × 3 × 5)

3√5 = √45

Replace 3√5 with √45 in equation 1

3√5 – √7

√45 – √7

Comparing

√45 – √7 and √x – √y i.e

√45 – √7 = √x – √y

x = 45

y = 7

Answer:

\(A=1347.7\ cm^2\)

Step-by-step explanation:

Given that,

Radius of a cone, r = 13 cm

Slant height of the cone, l = 20 cm

We need to find the surface area of the cone. The formula for the surface area of the cone is given by :

\(A=\pi rl +\pi r^2\)

Put all the values,

\(A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2\)

So, the surface area of the cone is \(1347.7\ cm^2\).

Answer: 17/5 or 3 2/5

Step-by-step explanation:

You separate the whole numbers from the fractions.

8-5=3 and 4/5-2/5=2/5

Then you combine the fraction with the whole number:

3 2/5 or 17/5 as a mixed fraction.

Given:

Let's find the equation of the tangent line over the interval:

First find the derivative of the equation:

Now evaluate the derivative when x = 1/2:

Solving further:

Now, the slope of the tangent line is 2√3.

Input the value for the slope, then put (1/2, π/2) for x1 and y1 in point-slope form:

Now add π/2 to both sides:

Therefore, the equation of the tangent line is:

ANSWER:

Answer: 47+13 =60

60 as a fraction should be 3/5 in simplest form.

Step-by-step explanation:

The difference between the selling price and the cost price is the profit he earned.

Profit = Selling Price - Cost Price

Profit = $216 - $180

Profit = $36

To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :

Percentage Profit = (Profit : Cost Price) * 100%

Percentage Profit = ($36 : $180) * 100%

Percentage Profit = 0.2 * 100%

Percentage Profit = 20%

Therefore, his percentage profit is 20%.

If a skid mark with a length of 82.5 feet was found, then the speed of the car is 13.59 miles per hour

The function is

l(s) = 0.46s^2 - 0.199s + 0.264

Where l is the length of a skid mark measured in feet at an accident scene

s is the speed of the car in miles per hour

Given that the skid mark length = 82.5 feet

Then the equation will be

0.46s^2 - 0.199s + 0.264 = 82.5

Rearrange the terms

0.46s^2 - 0.199s + 0.264 - 82.5 = 0

0.46s^2 - 0.199s - 82.236 = 0

Use the quadratic equation

= \(\frac{-b+/-\sqrt{b^2-4ac} }{2a}\)

Substitute the values in the equation

= \(\frac{0.199+/-\sqrt{(-0.199)^2-4(0.46)(-82.236)} }{2(0.46)}\)

= (0.199 ± 12.30) / 0.92

Then

(0.199 + 12.30) / 0.92 = 13.59

(0.199 - 12.30) / 0.92 = -13.15

Therefore, the speed of the car is 13.59 miles per hour

The complete question is:

The function l(s) = 0.46s^2 - 0.199s + 0.264 relates the length of a skid mark measured in feet at an accident scene to the speed of the car in miles per hour. that means an accident reconstructionist can measure the length of a skid mark and find the speed the car was traveling. if a skid mark with a length of 82.5 ft was found, find the speed of the car. round your answer to the nearest tenth.

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Answer:

\( s = \sqrt{30} - 2\sqrt{5} m \)

Step-by-step explanation:

Given:

Formula for side length of cube, \( s = \sqrt{\frac{SA}{6} \)

Where, S.A = surface area of a cube, and s = side length.

Required:

Difference in side length between a cube with S.A of 180 m² and a cube with S.A of 120 m²

Solution:

Difference = (side length of cube with 180 m² S.A) - (side length of cube with 120 m² S.A)

\(s = (\sqrt{\frac{180}{6}}) - (\sqrt{\frac{120}{6}})\)

\( s = (\sqrt{30}) - (\sqrt{20}) \)

\( s = \sqrt{30} - \sqrt{4*5} \)

\( s = \sqrt{30} - 2\sqrt{5} m \)

Answer:

I choose option d it maybe the answer

Answer:

D

Step-by-step explanation:

The number of sides increase by 1 each time

The m∠1 and m∠2 which are linear pairs of angles are 72° and 108°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know that the sum of linear pair of angles is equal to 180°.

therefore, From the given information, (x + 36)° + 3x° = 180°.

4x + 36° = 180°.

4x = 144°.

x = 36°.

So, m∠1 = 72° and m∠2 = 108°.

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Answer:

4:4

Step-by-step explanation:

add $34 to the already 4:4 and it results in the same answer: 4:4

The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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Answer:

62 cm^2

Step-by-step explanation:

Surface area of a rectangular prism is the area of each of the 6 faces added up. And area is length x width. There are three unique sets of sides, since each has another identical area opposite from it.

2(5 x 2) + 2(2 x 3) + 2(5 x 3)

2(10) + 2(6) + 2(15)

20 + 12 + 30

62 cm^2

Answer:

Step-by-step explanation:

SA=2lw+2lh+2hw

2 * 2 * 3 + 2 * 2 * 5 + 2 * 3 * 5 =

62 cm²

Answer:

8 \(<\) c is an inequality for the following statement: 8 is less than c.

Step-by-step explanation:

less then means <

and grater than is this >.

Have a nice day!

Answer: -206

Step-by-step explanation:

\(p(-3)=7(-3)^3 -2(-3)^2 +3(-3)+10=-206\)

Step 1: Problem

write a system of equations that could be used to determine the number of bracelets made and the number of necklaces made. Define the variables that you used to write the system.​

Step 2: Concept

Form a system of linear equations

Step 3: Method

Let m = number of bracelet

Let n = number of necklace

6 grams of gold in each bracelet and 16 grams of gold in each necklace.

Total weight of gold = 178 grams

6m + 16n = 178 .................................. 1

There are 7 necklaces more than the bracelet

n - m = 7 ..................................... 2

Step 4: Final answer

Let m = number of bracelet

Let n = number of necklace

System of equations

6m + 16n = 178

n - m = 7

Answer:

Step-by-step explanation:

x must be an even number from 0 to 9. So x can be

0 2 4 6 8

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

A number is divisible by 2 if the last digit is even

Possible digits are: 0, 2, 4, 6, 8

The steps to create a bar graph are explained below.

To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.

Here is how we can match the two-way table to the segmented bar graph:

By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.

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Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.

It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.

By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.

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The probability of randomly selecting a male student and female student are non-smokers is 0.6771

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

According to the given question:

Number of male students are smokers = 61

Number of male students are non smokers = 549

Total number of male students = 610

Number of female students are smokers = 156

Number of female students are non smokers = 444

Total number of female students = 600

Probability that both are non smokers is given by

P (non-smoker males) x P (non-smoker females)

= \(\frac{549}{610} . \frac{444}{600}\)

= 0.915 x 0.74

= 0.6771

Therefore the probability that both male and female are non-smokers is 0.6771.

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Answer:

b = 126.33 inches

Step-by-step explanation:

We need to find the measure of side b.

Here, c = 170 inches

\(\theta=42^{\circ}\)

It can be calcuated using trigonometry as follows :

\(\cos\theta=\dfrac{B}{H}\ ({\text{B is base and H is hypotenuse)}\\\cos(42)=\dfrac{b}{170}\\\\b=\cos(42)\times 170\\\\b=126.33\ in\)'

Hence, the length of b is 126.33 inches.

We are given a probability of p = 43% = 0.43. we are asked to determine the probability of finding at most 3 out of 6 individuals that believe in reincarnation, that is:

Since this is a discrete variable we have the following:

The probability that x = n, being "n" a natural number is:

Answer:

D

Step-by-step explanation:

Equation of a line given by the two-point form is:

(y-y1)/(x-x1) = (y1-y2)/(x1-x2)

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

(y+1)/(x-1) = -4 / -1

y+1 = 4(x-1)

y = 4x-4-1

y = 4x - 5

y-intercept at x=0 is -5

Answer is D.

Solution:

We know that:

Picking any point:

Using point slope form:

Comparing the equation with the formula:

⇒ m = slope = 4

⇒ b = y-intercept = -5

Answer:

The sample space of rolling two six-sided dice at the same time consists of all possible outcomes of the two dice. Each die can show any number from 1 to 6, so the sample space contains 6 x 6 = 36 possible outcomes.

Each outcome is represented by an ordered pair (a,b) where a and b are integers from 1 to 6 representing the numbers shown on each die, respectively. For example, (1,1), (1,2), (1,3),......., (6,5), (6,6) are all possible outcomes in the sample space.

Answer:

57.60

.59 can round to 60 which makes your answer

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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