find the length of a 90° arc of a circle with a diameter of 10 m​

Answer:

the answer 18.0008

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st step, we use the distance formula. After plugging in we simplify.

2-7 = 5 / 6-18 = 12.

Then we are left with 5^2 and 12^2

5x5 = 25 and 12x12 is 144

we added them up and get 169

The square root of 169 is the answer to the distance.

The expression with the correct coefficients in each block is given as follows:

20x³ + 0x² - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

As there is no x² term, the coefficient of zero multiplies the term x².

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Answer:  the answer is 38

Step-by-step explanation:

all you have to do is subtract 51-13 and the answer of that is the asnswer. :)

Answer:

its 48 lb·in.

I'll give you an example and plug in the numbers:

Given:

6 lb is needed to stretch 4 inches beyond natural length.

Need work done to stretch same string from natural length to 8 inches.

Solution:

string stiffness, K

= Force / stretched distance

= 6 lb / 4 inches

= 1.5 lb/inch

Work done on a string of stiffness K

= (Kx^2)/2 lb-in

= 1.5 lb/in *(8 in)^2)/2

= 48 lb-in.

Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation:

Answer:

≈0.3875.

Step-by-step explanation:

1) the rule:

f(x₀+Δx)≈f(x₀)+d[f(x₀)]=f(x₀)+f'(x₀)*Δx;

2) f(x)=sqrt(x) and x₀=0.16, then

f(x₀)=0.4; f'(x₀)=1/(2sqrt(x₀))=1/0.8=1.25;

Δx=0.15-0.16=-0.01;

3) finally,

\(\sqrt{0.15}=\sqrt{0.16}-1.25*0.01=0.4-0.0125=0.3875.\)

G count the maximum number of operations that the next pseudocode segment might possibly complete. Assume that the likelihood of all potential data sets is equal. preconditions: x

x(x + 1)/2 = O(x^2)

The pseudocode segment given has two nested for loops. The outer loop is iterating over the variable x, while the inner loop is iterating over variable i. G count the maximum number of operations that the next pseudocode segment might possibly complete. Assume that the likelihood of all potential data sets is equal. Each loop iteration is increasing the variable z by 1. In total, this will result in x*(x+1) / 2 operations being performed. This is equal to O(x^2), which is the worst-case number of operations.

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The mean of the distribution is 3

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

According to the first graph,

Given the bar of observations as :

0, 5, 6, 3, 1, 1, 3, 6, 4, 1

Here the Sum of Observations = 30

And the total number of observations = 10

The mean of the distribution = 30/10

The mean of the distribution = 3

According to the second graph,

Given the bar of observations as :

0, 1, 3, 3, 9, 0, 9, 4, 4, 1

Here the Sum of Observations = 34

And the total number of observations = 10

The mean of the distribution = 34/10

The mean of the distribution = 3.4

The mean of the distribution = 4 (closest)

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Answer:

as for the other stuff you need to update my 45=44

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line in the m:n ratio, finding the mid-point of the line, etc.

Let the coordinate of the point D be (x, y).

Point E has a similar y-coordinate as point D. Then the ordinate of the points will be the same.

And the x-direction of point E is something contrary to the x-direction of point D. Then the coordinate of point E will be (-x, y).

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

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Answer:

it's 86

Step-by-step explanation:

150-(2+x)^3=150-(2+2)^3

    =150-4^3

    =150-64

    =86

The value of the expression 150 - (2 + x)³, when x = 2 is, 86.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 150 - (2 + x)³, when x = 2.

This can be obtained by replacing x = 2 in the expression.

Therefore, 150 - (2 + x)³.

= 150 - (2 + 2)³.

= 150 - 4³.

= 150 - 64.

= 86.

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The domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

Domain is the set of {x} - values for which a function {y - values} exists. It is one of the important parameter while defining the characteristics of a function.

Given is the function as -

f(x) = (x - 3)²

{ 1 } -

The domain of the function f(x) = (x - 3)².

The function has no undefined points. So, we can write the domain as -

Domain → (- ∞ , + ∞)

{ 2 } -

The inverse of the function f(x) = (x - 3)².

We have -

f(x) = (x - 3)²

y = (x - 3)²

x = (y - 3)²

y - 3 = √x

y = 3 + √x

Therefore, the domain of the function, is : Domain → (- ∞ , + ∞) and the inverse of the function is y = 3 + √x.

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The algebraic representation of the expression is (m + n)

sum of m and the number after it

= m + n

Therefore, the algebraic representation of the expression is (m + n)

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Answer:

B.

\( \frac{5}{8} \)

Answer:

40% of the total was spent on fruit

Step-by-step explanation:

100%=45    x=18

100/x = 45/18    Now take the inverse of both sides

x/100 = 18/45

This leads to 1800 = 45x

1800 divided by 45 is equal to 40

The total percentage spent on fruit was 40%

Answer:

if 'T' is the centre of the circle, then RT and ST are radius, it means, RT=radius and ST=radius, then ST=RT.

Answer: y=mx+b

There are no choices, so I am not sure if it is in point-slope form or slope-intercept form....but that is the formula for slope intercept.

y=3x+6 would be the answer if this is being written in slope intercept form.

Step-by-step explanation:

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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\(x - \frac{y}{m} = x \\ - \frac{y}{m} = x - x \\ \frac{ - y}{m} = 0 \\ - y = 0 \\ y = 0\)

Answer:

Answer: 18 will be the answer.

Answer:

16

Step-by-step explanation:

Every upcoming term is 2/3 of the previous one.

=> 24 x 2/3

=> 8 x 2

=> 16

The probability of selecting no Republicans is approximately 0.2102, or about 21.02%.

What is probability?

Probability is a measure of the likelihood of an event occurring.

There are a total of 22 members in the group, consisting of 10 Democrats, 9 Republicans, and 3 Independents.

To find the probability of selecting no Republicans, we need to consider the possible ways in which two members can be selected without any Republicans being chosen.

There are two cases to consider:

The first person selected is not a Republican, and the second person selected is also not a Republican.

The first person selected is a Republican, and the second person selected is not a Republican.

Case 1: The probability of selecting a non-Republican member on the first draw is (10 + 3)/22, since there are 10 Democrats and 3 Independents out of 22 members. After the first member is selected, there are 21 members left, including 9 Republicans. The probability of selecting another non-Republican member on the second draw is (10 + 3 - 1)/(22 - 1), since there is one fewer member in the group after the first draw. Therefore, the probability of selecting no Republicans in this case is:

(10 + 3)/22 * (10 + 3 - 1)/(22 - 1) = 13/77

Case 2: The probability of selecting a Republican member on the first draw is 9/22, since there are 9 Republicans out of 22 members. After the first member is selected, there are 21 members left, including 10 Democrats and 3 Independents. The probability of selecting a non-Republican member on the second draw is (10 + 3)/(22 - 1), since there is one fewer member in the group after the first draw and we cannot select the Republican member again. Therefore, the probability of selecting no Republicans in this case is:

9/22 * (10 + 3)/(22 - 1) = 27/418

The total probability of selecting no Republicans is the sum of the probabilities in the two cases:

13/77 + 27/418 = 0.2102 (rounded to four decimal places)

Therefore, the probability of selecting no Republicans is approximately 0.2102, or about 21.02%.

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Answer:

Square root of 0.028

Step-by-step explanation:

17% = 0.17

1/7 = 0.142

1/8 = 0.125 so it isnt in the inequality

1.7 is outside of the inequality

0.091 is out of the inequality

Square root of 0.028 = 0.167 (So it's in the inequality)

Feel free to mark it as brainliest :D

Answer:

Step-by-step explanation:

P=10.1

A=3.08

P=4.7+3.2+2.2 =10.1

A=1/2 b h = 1/2 (2.2)(2.8)

Answer:

7x + 15y

Step-by-step explanation:

Not sure what letter it wants me to use as variables, so I'll use my own.

I'm gonna let x = number of hours worked as a tutor

                      y = number of hours worked as a waitress

Since those hours all add up to 104, we add x and y to equal 104

x + y = 104

Since she earns $7 an hour as a tutor, multiply x by 7 like this: 7x

Since she earns $15 an hour as a waitress, multiply y by 15 like this: 15y

They both have to be added to find the total dollar amount she earned this month

7x + 15y = ?

Answer:5.1+7<-3

Step-by-step explanation:

Express the given Complex number in the form a + ib: (1/3+i 7/3)+(4+i ... Ex 5.1, 7 - Chapter 5 Class 11 Complex Numbers (Term 1).

Answer: use math.......way

Step-by-step explanation

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

The side lengths of the triangle are 12 cm, 64 cm, and 65 cm.

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let's denote the length of the shorter leg as "x". Then, according to the problem statement, the length of the longer leg is "16 cm more than four times the length of the shorter leg", which can be expressed as 4x + 16.

Also, the length of the hypotenuse is "17 cm more than four times the length of the shorter leg", which can be expressed as 4x + 17.

Using the Pythagorean theorem, we know that in a right triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse.

So, we can write an equation as follows:

x² + (4x + 16)² = (4x + 17)²

Simplifying this equation, we get:

x² + 16x² + 128x + 256 = 16x² + 136x + 289

Bringing all the terms to one side, we get:

x² - 8x - 33 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Where a = 1, b = -8, and c = -33.

Plugging in these values, we get:

x = (8 ± √(8^2 - 4(1)(-33))) / 2(1)

x = (8 ± √(256)) / 2

x = 4 ± 8

Therefore, we have two possible values for x: x = -4 or x = 12. Since the length of a side of a triangle cannot be negative, we reject x = -4 and conclude that x = 12.

Substituting this value of x into the expressions we derived earlier, we get:

Length of shorter leg: x = 12 cm

Length of longer leg: 4x + 16 = 4(12) + 16 = 64 cm

Length of hypotenuse: 4x + 17 = 4(12) + 17 = 65 cm

Hence , the triangle is solved

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Step 01:

Data:

point 1 (-2, 11) x1 = - 2 y1 = 11

point 2 (1, -7) x2 = 1 y2 = -7

Step 02:

slope of the line:

The answer is:

the slope of the line is - 6

Cesar initially had $2,500 in savings.

Let's solve the problem step by step.

Let's assume that the initial amount of money Cesar had is represented by "x" dollars.

According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:

0.85x = 2,125

To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:

x = 2,125 / 0.85

Calculating this value:

x = 2,500

Cesar initially had $2,500 in savings.

Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.

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