14 bugs are crawling on the steps. Some of the bugs are black, and 4 are
green. Choose the number sentence that can be used to find the number
of black bugs.
14 + 4 =
4 +
= 18
4 +
= 14

Answer:

D

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer: x=16

Step-by-step explanation:

\(2x+6=3x-10\)

Subtract 6 on both sides

\(2x+6-6=3x-10-6\)

\(2x=3x-16\)

Subtract 3x on both sides

\(2x-3x=3x-16-3x\)

\(-x=-16\)

Divide -1 on both sides

\(\frac{-x}{-1}=\frac{-16}{-1}\)

\(x=16\)

Answer:

Step-by-step explanation:

Step one:

we are given the radius as

r=2cm, and the number of spheres is 50 in numbers

let us find the volume of one sphere and multiply the area by 50 to get the volume of the 50 spheres

Step two:

\(volume=4/3 \pi r^3\)

\(volume=4/3*3.142 *2^3\\\\volume=100.5/3\\\\volume=33.5\)

The volume of one sphere is 33.5in^3

Hence the volume of the 50 spheres will be

=33.5*50

=1675.7cm^3 approx.

Volume of the melted solution will be 1675.5 cm³.

  Radius of each metal sphere = 2 cm

Expression for the volume of the sphere is given by,

Volume = \(\frac{4}{3}\pi r^{3}\)

Here, r = radius of the sphere

By substituting the value of radius in the expression,

Volume = \(\frac{4}{3}\pi (2)^3\)

             = 33.51 cm³

Volume of the melted solution = Volume of 50 spheres

Volume of 50 spheres = 50 × (33.51)

                                      = 1675.5 cm³

    Therefore, Volume of the melted solution will be 1675.5 cm³.

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An exponential equation for the growth of the balance in her account is \(10(1.06)^t\).

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =\(P(1+r/n)^rt\)

We have been given that Quincy has $10 in a savings account. The interest rate is 6%, compounded annually.

The compound interest will be;

Compound Interest =\(P(1+r/n)^rt\)

\(10(1+6/100)^t\\\\10(1+ 0.06)^t\\\\10(1.06)^t\)

Hence, an exponential equation for the growth of the balance in her account is \(10(1.06)^t\).

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Answer:

A. y+3=4(x+1)

Step-by-step explanation:

Lets find an equation having the form y=mx+b, where m is the slope and b the y-intercept.  We are given the slope, so let's add that first:

  y = 4x + b

That was easy.  No how can we find the value for b?  We are given a point that the line passes through:  (-1,-3).  If the line gors through this point, then it must be a valid solution to the equation.  Let's use that point in the equation and solve for b:

 y = 4x + b

 -3 = 4*(-1) + b  for point (-1,-3)

 -3 = -4 + b

  b = 1

The equation becomes y = 4x + 1

Put this into point slope form:

y = 4x + 1

y+3 = 4x + 1 + 3

y+3 = 4x + 4

y+3 = 4(x + 1)

See the attached graph.

Answer:

i-

Step-by-step explanation:

Based on the information about the triangle, the value of KLM is114°.

To find the measure of angle KLM (m/KLM), we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle JKL, the sum of the measures of the interior angles is 180 degrees. Therefore,

m/JKL + m/LJK + m/KLM = 180

(3x+6) + (2x+2) + (8x-16) = 180

13x = 204

x = 15

m/KLM = 8(15) - 16 = 114 degrees

So the answer is 114

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The number of teams and matches in the soccer league illustrates permutation and combination

There are 12 teams in the soccer league in the first season

The number of teams in the soccer league is given as n.

So, the total number of matches played in a season is:

Matches = n(n-1)/2

When the number of teams increases by 2, we have:

Matches = (n + 2)(n + 2 -1)/2

Also, the number of matches increases by 27.5%.

So, we have:

Matches = n(n-1)/2 * (1 + 27.5%)

Equate both equations

\(\frac{(n + 2)(n + 2 -1)}{2} = \frac{n(n-1)}{2} * (1 + 27.5\%)\)

Simplify

\(\frac{(n + 2)(n + 1)}{2} = \frac{n(n-1)}{2} * (1.275)\)

Multiply through by 2

\((n + 2)(n + 1) = n(n-1) * (1.275)\)

Expand

\(n^2 + 3n + 2 = 1.275n^2 - 1.275\)

Collect like terms

\(n^2 -1.275n^2+ 3n + 2 +1.275 = 0\)

Evaluate the like terms

\(-0.275n^2+ 3n + 3.275 = 0\)

Using a graphing calculator, we have:

n = -1 or n = 11.909

n cannot be negative.

So, we have:

n = 11.909

Approximate

n = 12

Hence, there are 12 teams in the soccer league in the first season

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True. If the derivative (dy/dx) of a function f(x) is zero at a particular value of x, then the slope of the tangent line at that point is also zero, which means it is a horizontal line.

A tangent line is a straight line with the same slope as the curve it touches at a single point on a curve. A local approximation of the curve close to the point of contact is provided. Finding the slope of the curve at a given location, which is determined by the derivative of the curve at that position, is necessary to determine the equation of a tangent line to a curve at that point. The equation of the tangent line is then written using the point-slope form of a line. Calculus relies on tangent lines to help students comprehend how functions and their derivatives behave.

This is because the derivative represents the rate of change (slope) of the function at any given point, and if it is zero, then the function is not changing (not curving) at that point.

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Answer:

A.115 students I think

Step-by-step explanation:

To get from 54 percent to 100 percent, we have to first divide by 54 to get 1 percent and then times 100 to get 100 percent. Since this is an equivalent ratios problem, we do the same thing to the other side, divide 62 by 54 and then times by 100. We should get 114.814815 which we can round up to 115. Hopefully that helps you.

Answer: the answer is 3 41/99

Step-by-step explanation: got it from khan pls mark me 5 stars

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Answer:

Cube root of 16​

Step-by-step explanation:

x^m/n =n/x^m

4^2/3 = 3/4^2=3/16

So it is Cube root of 16​

Hope This Helped

Answer:

Geometric Sequence

Finding the sum

The sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Solution:

Geometric Series Sum Formula: S = a₁/1 - r

Given: a₁ = 3/4

          a₂ = -9/16

          a₃ = 27/64

          a₄ = -81/256

1. Find the common ratio.

      a_n = a₁r ⁿ ⁻ ¹

       a₂  = a₁r ⁿ ⁻ ¹

  -9/16 = 3/4 r ² ⁻ ¹

  -9/16 = 3/4 r

2. Divide both sides of the equation by 3/4 to find r.

   -9/16/3/4 = 3/4 r/3/4

 (-9/16)(4/3) = r

       -36/48 = r

           -3/4 = r

3. Using r = -3/4, find the sum of the infinite geometric series 3/4 -9/16 +27/64 -81/256+ ...

   S = a₁/1 – r

   S = 3/4/1 – (-3/4)

   S = 3/4/1 + ¾

   S = 3/4/4/4  + 3/4

   S = 3/4/7/4

   S = (3/4)(4/7)

   S = 12/28

   S = 3/7

4. Therefore, the sum of the infinite geometric series 3/4 -9/16+27/64 -81/256+ ...is 3/7.

Definition:

     A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant while the sum of an infinite number of terms in a geometric sequence is called sum to infinity.

Code: 10.3.1.1

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Step-by-step explanation:

ok

Volume of the tank = 50 x 42 x 50

= 105000 cm^2

Volume of 2/3 of the tank = 2/3 x 105000

= 70000 cm^3

Volume of 3/4 of the tank = 3/4 x 105000

= 78750 cm^3

a) Capacity of the tank = 105000 cm^3

b) Volume of the stone = 78750 - 70000

= 8750 cm^3

To check the conditions for computing a 95% confidence interval for the proportion of red Skittles (p), we need to verify the following conditions:

1. Random Sample: The Skittles were placed into the bags using machinery at the factory, which can be considered a random process. Therefore, the condition of a random sample is met.

2. Large Sample Size: The total number of Skittles observed is 4084, which is large enough for the Central Limit Theorem to apply. The condition of a large sample size is met.

3. Independence: We assume that the selection of Skittles from the bags is independent. As long as each Skittle is selected without influence from other Skittles, this condition is satisfied.

Based on the provided information, it appears that the conditions for computing a confidence interval for the proportion of red Skittles are met.

Therefore, we can proceed with computing a 95% confidence interval for p using the class data, and the results obtained in Step B should be valid.

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Answer:

-3 to the power of x

-2 to the power of x

-1 to the power of x

0 to the power of x

1 to the power of x

2 to the power of x

3 to the power of x

Step-by-step explanation:

No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:

List 4.

A sample space is a set that contains all possible outcomes in the context of an experiment.

The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.

Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:

4 x 4 = 16.

This means that the correct list is either the list 3 or the list 4.

As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.

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Answer: List 4

Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.

Also I know the right answer because I got it right

So good luck on y'all's math tests :)

Here is some proof that the answer is List 4

Answer:

there is no slope

Step-by-step explanation:

hope that helped

The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Answer: About 5.2 Hours

Step-by-step explanation:

550= 35 x 3x

183.33= 35x

5.2 = x

There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5. The probability of Hoffman rolling a perfect game is 0.000779.

The probability of Hoffman rolling a perfect game is the sum of the probabilities of him rolling a strike in each of the 10 frames.

There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5.

To calculate the probability of Hoffman rolling a perfect game, we must multiply 0.5 by 10, which is equal to 0.5. This gives us a probability of 0.000779 or 0.000779 rounded to six decimal places.

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Answer:0.48

Step-by-step equation:

Answer:

b. 1

Step-by-step explanation:

there is only one solution because:

√49= 7

or

7²= 49

a) No, a single spray of 10 grams of butter would not be enough to entirely cover the area of 4 slices of toast at 2 meters. The area of 4 slices of toast is larger than the area of 1 slice of toast, meaning that it would require more butter than 10 grams to cover the entire area.

b) A single spray of 10 grams of butter would be enough to cover the area of 8 slices of toast at 3 meters.

c) These changes would affect the amount of butter on each piece of toast in that there would be more butter on each piece with a larger rack and further distance from the "butter gun".

d) At 5 meters from the gun, our up-and-coming chef would be able to spray 16 slices of toast with a single burst of 10 grams of butter. Each piece of toast would also have more butter than it would if it was sprayed at a closer distance.

e) To duplicate the original single-slice toast at 5 meters from the gun, the chef would need to reduce the amount of butter being sprayed. He could do this by simply reducing the distance between the gun and the toast rack.

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Complete question :

A harried chef can't keep up with his breakfast orders and decides to automate the process with a "butter gun." The gun provides a 10 gram burst of butter spray with each hit of the trigger. He starts with a rack that holds one piece of toast 1 meter away. The demand again exceeds supply and he realizes he can use the same gun to produce more toast by placing a larger rack at a greater distance. He finds that a four-slice rack works at a distance of 2 meters. Pleased with profits he carries the idea a step further and puts a holder 3 meters away, maintaining a 10 gram spray. See figure below.a) If 1 spray entirely covers the area of a single slice at 1 meter, can it entirely cover the area of 4 slices at 2 meters? Why or why not?b) How many slices can one spray cover with a 3 meter arragnement?c) How do these changes affect the amount of butter on each piece of toastd) Our up-and-coming chef moves the fun back to 5 meters. Predict how much toast he can spray and how much better each piece gets.e) Explain how he could duplicate the original single-slice toast at 5 meters from the gun.