A child is spinning a rock at the end of a 2 foot rope at a rate of 180 revolutions per minute. What is the approximate linear velocity of the rock when it is released.

\(\large{\sf{Question:-}} \\ \\\)

The bus covers 12km in four hours. How many minutes would it take the bus to cover 10km?

Solution :

Bus covers in 4 hours = 12km

To Find:

Given :-

Then,

240 ÷ 12

\(\qquad\qquad\qquad{\sf{20}} \\\)

Therefore, It takes 20 minutes to complete 1km.

So that's why,

20 × 10

\(\qquad\qquad\qquad{\sf{200}} \\\)

Therefore, it takes 200 minutes to complete 10km.

\(\sf{Answer:}\)

\(\begin{gathered}\qquad\qquad\boxed{\sf{It \:takes \:3hr \:and \:40min \:complete \:10km}} \\ \end{gathered}\)

Zero.

Zero because although there may be several curved lines,that's not what it's asking.

Thoese lines cannot go into each other.

Hope this helps!!

Brainliest?

-L.ove,Nat

Answer:

I'm assuming it was 3/4. not 34.

if so, 1/4 of the bag is left.

1/4 ÷ 3= 1/12

Answer:

3 = 1/2

Step-by-step explanation:

Answer:

20 percent

Step-by-step explanation:

(I had such a good explanation and accidentally refreshed the page)

So basics

48/60 is in

12/60 is out

Now we focus on out

we know this 12/60 becuase 48 is in and there are 60 tries so 60-48=12

So now 12/60 into a percent

A percent is basically x/100

So we gotta make 12/60 into a fraction with a denominator of 100

SO simplify fto make it easier (try to get it to 4,2,5,10,50,25 anything that goes into 100)

1/5

1/5 is 20 percent

thats a benchmark

But if you don’t know

You can always do a pro proton

1/5=x/100

Cross multiply

100=5x

x=20

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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The calculated length of the segment OP is 90 units

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

Scale factor = 5

PQ = 18

The length of the segment OP is calculated as

OP = PQ * Scale factor

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

OP = 18 * 5

Evaluate

OP = 90

Hence, the length of the segment OP is 90 units

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Answer:

0.495 probability that Jim and Molly take counters of different colours

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either a blue counter is picked, or a red counter is picked. The counter is put back in the bag after it is taken, which means that we can use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that the counter is red is 0.45

This means that \(p = 0.45\)

Jim taken a counter, then Molly:

Two trials, so \(n = 2\)

What is the probability that Jim and Molly take counters of different colours?

One red and one blue. So this is P(X = 1).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{2,1}.(0.45)^{1}.(0.55)^{1} = 0.495\)

0.495 probability that Jim and Molly take counters of different colours

Answer:

\(9^\circ , 171^\circ\)

Step-by-step explanation

If  a  represents the measure of the angle, then 180 - a is the measure of its supplement.  (Supplements add up to 180 degrees.)

The sentence in the problem translates to an equation:

a = (180 - a) - 162

Simplify the right side.

a = 18 - a

Add a.

2a = 18

a = 9

The angle's measure is \(9^\circ\).  The supplement is \(180^\circ - 9^\circ =171^\circ\)

Answer:

24

Step-by-step explanation:

add all the numbers up and then divide that number by the amount of numbers there are

Answer:

(a)  x = 2

(b)  7 + 5√2

Step-by-step explanation:

Given terms of a geometric sequence:

The common ratio of a geometric sequence is found by dividing consecutive terms.  Therefore:

\(\implies \dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}\)

Substitute the given terms into the equation and solve for x:

\(\implies \dfrac{\sqrt{x}+1}{1}=\dfrac{1}{\sqrt{x}-1}\)

\(\implies (\sqrt{x}-1)(\sqrt{x}+1)=1\)

\(\implies x+\sqrt{x}-\sqrt{x}-1=1\)

\(\implies x-1=1\)

\(\implies x=2\)

General form of a geometric sequence:

\(\boxed{a_n=ar^{n-1}}\)

where:

Substitute the found value of x into the expressions for the given terms:

Find the common ratio:

\(\implies r=\dfrac{a_3}{a_2}=\dfrac{\sqrt{2}+1}{1}=\sqrt{2}+1\)

Therefore, the equation for the nth term is:

\(\boxed{a_n=(\sqrt{2}-1)(\sqrt{2}+1)^{n-1}}}\)

To find the 5th term, substitute n = 5 into the equation:

\(\implies a_5=(\sqrt{2}-1)(\sqrt{2}+1)^{5-1}\)

\(\implies a_5=(\sqrt{2}-1)(\sqrt{2}+1)^{4}\)

\(\implies a_5=(\sqrt{2}-1)(\sqrt{2}+1)^2(\sqrt{2}+1)^2\)

\(\implies a_5=(\sqrt{2}-1)(3+2\sqrt{2})(3+2\sqrt{2})\)

\(\implies a_5=(\sqrt{2}-1)(9+12\sqrt{12}+8)\)

\(\implies a_5=(\sqrt{2}-1)(17+12\sqrt{2})\)

\(\implies a_5=17\sqrt{2}+24-17-12\sqrt{2}\)

\(\implies a_5=7+5\sqrt{2}\)

Answer:

I'm not sure if this is exactly correct but I believe it would be 92%

Step-by-step explanation:

0.92 x 100= 92.

that's it ig

Answer:

($8500)(0.0725)(4)

The expression f(x) = 8500*0.0725*x  represents the b best scenario. None of them are correct.

Equation that fit the scenario of He deposited $8500 in a 4-year certificate of deposit that earns 7.25% per year, to determine.

Equation are link of variables that contain equal sign.

Here,
He deposited $8500 in a 4-year certificate,
f(x) = 8500
Earns 7.25% per year,
f(x) = 8500*0.0725*4

Thus, the expression f(x) = 8500*0.0725*x  represents the b best scenario.

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Answer:

1/4

Step-by-step explanation:

Convert fractions to decimals

\(1-0.25-1/2\\1-0.25-0.5\\\)

Add/Subtract

\(1-0.25-0.5\\= 0.75-0.5\\= 0.25\\= \frac{1}{4}\)

Probability in sandwich choices analysis refers to the likelihood of a particular sandwich being chosen, based on factors such as taste, price, and availability.

1. To calculate the total number of possible sandwiches, we need to consider the number of options for each category: bread, protein, cheese, and vegetables.

Bread: There are 3 options - Italian, white, and wheat.

Protein: There are 4 options - tuna, ham, turkey, and beans.

Cheese: There are 4 options - provolone, Swiss, American, and none.

Vegetables: There are 5 options, and since we need to choose two, we use combinations. Therefore, there are (5 choose 2) = 10 possible combinations of vegetables: lettuce and tomatoes, lettuce and peppers, lettuce and onions, lettuce and pickles, tomatoes and peppers, tomatoes and onions, tomatoes and pickles, peppers and onions, peppers and pickles, and onions and pickles.

To calculate the total number of possible sandwiches, we multiply the number of options for each category:

3 x 4 x 4 x 10 = 480

Therefore, there are 480 different possible sandwiches.

2. Since Andre only cares about the ham, lettuce, and tomatoes, we only need to consider the number of options for vegetables. He needs to choose two vegetables, so we need to count the number of possible combinations of lettuce, tomatoes, and the remaining vegetables. Since we don't care about the bread or cheese, we can ignore those options.

There are (3 choose 2) = 3 possible combinations of vegetables that would make Andre happy: lettuce and tomatoes, lettuce and peppers, or tomatoes and peppers. Since we don't care about the bread or cheese, there are no restrictions on those categories, so there are 4 options for cheese and 3 options for bread, for a total of 12 possible sandwiches that would make Andre happy.

3. To calculate the probability of randomly choosing a sandwich that would make Andre happy, we divide the number of sandwiches that would make him happy by the total number of possible sandwiches:

3/480 = 1/160

Therefore, the probability is 1/160, or approximately 0.00625. This means that if we were to randomly choose a sandwich, there is a 0.625% chance that it would be a sandwich that would make Andre happy.

The complete question is:

1. A submarine sandwich shop makes sandwiches with one kind of bread, one protein, one choice of cheese, and two vegetables. How many different sandwiches are possible? Explain your reasoning. You do not need to write out the sample space.

Breads: Italian, white, wheat

Proteins: Tuna, ham, turkey, beans

Cheese: Provolone, Swiss, American, none

Vegetables: Lettuce, tomatoes, peppers, onions, pickles.

2. Andre knows he wants a sandwich that has ham, lettuce, and tomatoes on it. He doesn’t care about the type of bread or cheese. How many of the different sandwiches would make Andre happy?

3. If a sandwich is made by randomly choosing each of the options, what is the probability it will be a sandwich that Andre would be happy with?

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The account balance of Bob Rowinski if he kept the money on deposit for 6 months is $4,032.00.

The compound interest formula can be expressed as;

A = P(1 + r/n)^(n*t)

Where A is accrued amount, P is principal, r is interest rate, t is time elapsed.

Given the data in the question;

Plug the given values into the above formula and solve for A.

A = P(1 + r/n)^(n*t)

A = $4000( 1 + 0.016/2 )^(2*0.5)

A = $4000( 1 + 0.008 )^(1)

A = $4000( 1.008 )

A = $4,032.00

Therefore, the accrued amount after half a year is $4,032.00

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Since the boxes are sliding to the right at a constant velocity, the net force acting on each box is zero.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The LHS and RHS contain mathematical expressions that can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations are used in many areas of mathematics and science to describe relationships between variables and to solve problems. They can be linear or nonlinear, simple or complex, and may involve one or more variables. The process of finding the values of variables that make an equation true is called solving the equation.

Here,

Therefore, the forces on each box must balance out. Let's consider the forces acting on each box:

Box A: Since it has a larger mass, it requires a larger force to slow down. Therefore, the force exerted by hand H on box A must be larger than the force exerted on box B. We can rank the forces on box A, box B, and hand H as follows:

Force exerted by hand H on box A (largest force)

Force exerted by hand H on box B

Force exerted by box A on hand H

Force exerted by box B on hand H

Force exerted by box A on box B (smallest force)

Box B: Since it has a smaller mass, it requires a smaller force to slow down. Therefore, the force exerted by hand H on box B must be smaller than the force exerted on box A.

Hand H: The forces exerted by box A and box B on hand H are equal and opposite (Newton's third law). Therefore, they cancel each other out and the net force on hand H is zero.

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The net of the pyramid is the plane shapes that makes up the pyramid

The surface area of the pyramid is 224 m^2

The pyramid is a square based pyramid.

This means that the net of the pyramid has a square and four triangles

See attachment for the net of the pyramid

The base length is given as:

b = 8

The slant height is given as:

s = 10

Start by calculating the height of the pyramid using:

\(h = \sqrt{s^2 - (b/2)^2}\)

So, we have:

\(h = \sqrt{10^2 - (8/2)^2}\)

\(h = \sqrt{84}\)

The area of the pyramid is then calculated as:

\(A = b^2 + 2b * \sqrt{\frac{b^2}{4} + h^2}\)

So, we have:

\(A = 8^2 + 2*8 * \sqrt{\frac{8^2}{4} + 84}\)

\(A = 64 +16 * \sqrt{16 + 84}\)

\(A = 64 +16 * \sqrt{100}\)

\(A = 64 +16 * 10\)

\(A = 224\)

Hence, the surface area of the pyramid is 224 m^2

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Answer:

The answer is B :)

Step-by-step explanation:

Answer:

The answer is b :)

Step-by-step explanation

Answer:

It would be the second one.

Step-by-step explanation:

2 less than is really just asking for something minus 2, so the picture asks for two less than, so the product of four and a number minus two.

So 4a-2.  

Hope this helps

Answer:

8

Explanation:

3x-7=x^2-7x+18

X= 5

Y=3(5)-7 aka 15-7

=8

Answer:

C.  ∠B ≅∠E

Step-by-step explanation:

Since ΔJAB ≅ ΔFED, their corresponding angles are congruent.

Therefore:

Given that m∠BJA = 52° and m∠EDF = 65°, then:

Therefore, m∠ABJ = 65°.

Interior angles in a triangle sum to 180°. Therefore:

⇒ m∠JAB + m∠BJA + m∠ABJ = 180°

⇒ m∠JAB + 52° + 65° = 180°

⇒ m∠JAB + 117° = 180°

⇒ m∠JAB = 63°

As m∠JAB = m∠FED, then m∠FED = 63°.

Since ΔJAB ≅ ΔFED, their corresponding sides are congruent.

Given that AB = 10 inches, then ED = 10 inches.

Therefore, the statement that is not true is:

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Option a: Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price

Given,

Braxton’s average monthly usage of lotion = 8 ounces

The amount of two different brands of lotion are given:

Brand A: 24 ounces for $3.30

Brand B: 40 ounces for $4.60

We have to find the monthly savings of Braxton if he purchases the brand that has the lowest price per ounce versus the highest price:

We have to calculate amount for one ounce for the two brands given:

Brand A:

24 ounces for $3.30

Amount for one ounce = 3.30/24

Amount for one ounce = $0.1375

Brand B:

40 ounces for $4.60

Amount for one ounce = 4.60/40

Amount for one ounce = $0.115

Now, we have to calculate the amount for 8 ounces.

Brand A:

8 x 0.1375 = 1.1

$1.1 for 8 ounces of Brand A lotion.

Brand B:

8 x 0.115 = 0.92

$0.92 for 8 ounces of Brand B lotion.

Now, we have to calculate the savings:

Brand A – Brand B

1.1 – 0.92 = 0.18

That is, Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price.

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8 percent. Could I please get brainliest?

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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The statement that describes the distribution based on the given information is:

A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.

The graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.

The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.

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Answer:

\(x=0^\circ,120^\circ,240^\circ,360^\circ\)

Step-by-step explanation:

Use identities to set the equation up as a quadratic

\(\cos x=\cos 2x;\:0^\circ \leq x \leq 360^\circ\\\\\cos x=2\cos^2 x-1\\\\0=2\cos^2 x-\cos x-1\)

Make the substitution u=cos(x) and solve the quadratic

\(0=2u^2-u-1\\\\0=(2u+1)(u-1)\)

\(\displaystyle 0=2u+1\\\\0=2\cos x+1\\\\-1=2\cos x\\\\-\frac{1}{2}=\cos x\\\\120^\circ,240^\circ=x\)

\(0=u-1\\\\0=\cos x-1\\\\1=\cos x\\\\0^\circ,360^\circ=x\)

Hence, \(x=0^\circ,120^\circ,240^\circ,360^\circ\)