Solve:
3x+5=3(5x-4)-12x

The solution of the equation tells that at t = 0 seconds frogs will start to jump and after t = 0.8 seconds the frog will come onto the ground.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a parabolic equation that represents height, in inches of the frog is modeled by the function:

h(t) = 60t - 75t²

h(t) = 0

60t - 75t² = 0

t(60 - 75t) = 0

t = 0 or t = 60/75 = 0.8 seconds

Thus, the solution of the equation tells that at t = 0 seconds frogs will start to jump and after t = 0.8 seconds the frog will come onto the ground.

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Answer:

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share, now when you have a polynomial, the greatest common factor (GCF) of a polynomial is the largest monomial that divides evenly into each term , so

                            \((GCF)\\x^4=x^4\\x^5=x^4.x\\x^7=x^4 x^3\\(GCF)=x^4 \\\)

I hope this helps you

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We need to use the fact that the percentages of all three categories must add up to 100%. Therefore, the percentage of independent voters can be found by subtracting the percentages of democrat and republican voters from 100%.
Percentage of independent voters = 100% - 35% - 40% = 25%
So, 25% of the registered voters are independent.
In conclusion, the percentage of independent voters is 25%. This is because the percentages of democrat, republican, and independent voters must add up to 100%. The percentages of democrat and republican voters are given, so we can find the percentage of independent voters by subtracting those from 100%.
Based on the given information, 35% of registered voters are classified as Democrats, and 40% are classified as Republicans. To find the percentage of registered voters who are independent, we need to subtract the total percentage of Democrats and Republicans from 100%.
100% - (35% + 40%) = 100% - 75% = 25%
Therefore, 25% of the registered voters are classified as independent.

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As the volume of the sphere is decreasing at a constant rate of 3 cm³/s, the radius of the sphere is 0.98 cm

The volume of the sphere is given by:

V = 4/3. πr³

Where:

r = radius.

Take the derivative with respect to t

dV/dt = 4. πr² dr/dt

Data from the problem:

dV/dt = 3 cm³/s

dr/dt = 0.25 cm/s

Plug these parameters into the equation:

3 = 4. πr² (0.25)

πr² = 3

r² = 3/π

r = sqrt (3/π) = 0.98 cm

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Whave established that the series l~=l an - z converges uniformly for Re(z) ≤ c

What is uniformly?

The keyword "uniformly" refers to the concept of uniform convergence. In the context of the given question, it is stated that the series l~=l an - z converges uniformly for Re(z) ≤ c. Uniform convergence means that the convergence of the series is independent of the value of z within a certain range (Re(z) ≤ c in this case).

To show that the series l~=l an - z converges uniformly for Re(z) ≤ c, where an is a bounded sequence of complex numbers and we choose the principal branch of n - z, we need to demonstrate that for any ε > 0, there exists an N such that for all n > N and for all z with Re(z) ≤ c, the inequality |l~=l an - z| < ε holds.

Given that an is a bounded sequence, there exists an M > 0 such that |an| ≤ M for all n.

Let's consider the series l~=l an - z. We can write it as:

l~=l an - l z.

Now, since |an| ≤ M for all n, we have:

|an - z| ≤ |an| + |z| ≤ M + c.

By choosing N such that M + c < ε, we can ensure that for all n > N and for all z with Re(z) ≤ c, the inequality |an - z| < ε holds.

Now, using the triangle inequality, we have:

|l~=l an - z| ≤ |an - z|.

Since we have shown that |an - z| < ε for n > N and Re(z) ≤ c, it follows that |l~=l an - z| < ε for n > N and Re(z) ≤ c.

Therefore, we have established that the series l~=l an - z converges uniformly for Re(z) ≤ c.

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Since the data set and specific values are not provided in your question, I am unable to create a line plot for you.

However, I can explain how to create a line plot based on the given data. To create a line plot, follow these steps:

a. Determine the range of values in the data set, i.e., the smallest and largest amounts of snowfall.

b. Draw a number line that spans the range of values.

c. Mark each amount of snowfall as a dot above the corresponding value on the number line.

d. Label each dot with the number of inches of snowfall.

e. Add a title to the line plot that describes the data being represented.

To find the largest amount of snow that fell in one day, look for the highest point on the line plot or identify the largest value from the data set.

To find the least amount of snow that fell in one day, look for the lowest point on the line plot or identify the smallest value from the data set.

To determine how many days it snowed 3 inches, count the number of dots on the line plot that correspond to 3 inches of snowfall.

If the difference between the largest and smallest amounts of snow is now 3, there are several possibilities for the new values. Here are a few examples:

a. The largest amount of snow could be 6 inches, and the smallest amount could be 3 inches.

b. The largest amount of snow could be 5 inches, and the smallest amount could be 2 inches.

c. The largest amount of snow could be 4 inches, and the smallest amount could be 1 inch.

These are just a few examples, and there can be other combinations of values that satisfy the given condition. Without further information, it's difficult to provide a more specific answer.

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Answer:

\(f(x) = (x - 3)( {x}^{2} + 3x - 2)\)

Step-by-step explanation:

\((x - 3)( {x}^{2} + 3x - 2) \\ {x}^{3} + 3 {x}^{2} - 2x - 3 {x}^{2} - 9x + 6 \\ {x}^{3} - 2x - 9x + 6 \\ {x}^{3} - 11x + 6\)

Answer:

I think the answer you're looking for is 86400

Step-by-step explanation:

The position of a particle moving along the x-axis is given by the equation x = 1.5 + 2.8t - 3.6t^2. we get v = 2.8 m/s. The positive velocity indicates that the particle is moving to the right when it returns to its initial position.

(a) To find when the particle changes direction, we need to determine the time at which its velocity is zero. Velocity is the derivative of position with respect to time, so we differentiate the position equation: v = dx/dt = 2.8 - 7.2t. Setting v equal to zero, we get 2.8 - 7.2t = 0, which gives t = 0.39 seconds. Substituting this value back into the position equation, we find x = 1.5 + 2.8(0.39) - 3.6(0.39)^2. Evaluating this expression, we find the position when the particle changes direction.  

(b) To determine the velocity when the particle returns to its initial position at t=0, we calculate the derivative of the position equation with respect to time: v = dx/dt = 2.8 - 7.2t. Substituting t=0 into this equation, we get v = 2.8 m/s. The positive velocity indicates that the particle is moving to the right when it returns to its initial position.

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Answer:

Woody arrived  

27 -  9 =  18  minutes before Barbie did.

Step-by-step explanation:

When you are working with Distance=speed-time problems remember that if you know two of the values you can calculate the third one,

Barbie: She walks at a speed of  70  metres per minute.  

Woody: Cycles  3  times as fast:   →3 × 70 = 210 m/min

He cycled for  9  minutes.

210 m/min is his speed.

9  minutes is the time he took.

Distance  =  speed  ×  time

D  =  210  × 9   =  1890  metres,

Barbie: walked the same distance of  1890  metres

Her speed was  70  m/min

The time she took:  

Time= \(\frac{Distance}{Speed}\)

T i m e  =   \(\frac{1890}{70}\) =  27  minutes.

Woody arrived  27  −  9  =  18  minutes before Barbie did.

Answer:

sin 50° = e/f

cos 50° = g/f

tan 50° = e/g

sin 40° = g/f

cos 40° = e/f

tan 40° = g/e

Step-by-step explanation:

sin 50° = e/f

cos 50° = g/f

tan 50° = e/g

sin 40° = g/f

cos 40° = e/f

tan 40° = g/e

The values of k and f when P(x)=2x³+x²-2kx+ f is divided by (x+2) and divided by (x-3) are approximately:
k=6

f=-20

To determine the values of k and f, let's use the Remainder Theorem.

When P(x) is divided by (x+2), the remainder is -8. This means that P(-2) = -8.

Substituting -2 into P(x), we get:
P(-2) = 2(-2)³ + (-2)² - 2k(-2) + f
-8 = 2(-8)+4 + 4k + f
-8 = -16 +4+ 4k + f
4 = 4k + f  ----(1)

Similarly, when P(x) is divided by (x-3), the remainder is 7. This means that P(3) = 7.

Substituting 3 into P(x), we get:
P(3) = 2(3)³ + (3)² - 2k(3) + f
7 = 2(27) + 9 - 6k + f
7 = 54 + 9 - 6k + f
7 = 63 - 6k + f
7 - 63 = -6k + f
-56 = -6k + f  ----(2)

Now, we have two equations:
4 = 4k + f  ----(1)
-56 = -6k + f  ----(2)

To solve these equations, we can use the method of elimination.

Subtract (1) with (2)
4+56=4k+6k

10k=60

k=6

Substitute k=6 into equation (1):
4=4(6)+f

f=4-24

f=-20

Therefore, the values of k and f are approximately:
k=6

f=-20

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Answer:

Therefore 3/10 is closer to ½

Step-by-step explanation:

We've to get the difference:

» with 3/10 :

\( \frac{1}{2} - \frac{3}{10} = { \boxed{\frac{1}{5} }}\)

» with 5/7

\( | \frac{1}{2} - \frac{5}{7} | = { \boxed{ \frac{3}{14} }}\)

but:

\( \frac{3}{14} > \frac{1}{5} \)

Among both the given fractions, the one that is closer to a ½ is 3/10.

A number that is stated as a quotient in mathematics, when the numerator and denominator are split in half. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.

An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

A fraction is a number that represents a portion of a whole. In order to evaluate it, a whole is divided into a number of components.  A correct fraction has a numerator that is lower than its denominator.

Required calculations are done with both the fractions,

1/2 - 3/10 = 1/5

1/2 - 5/7 = 3/14

3/14 ≥ 1/5

Therefore, among both the given fractions, the one that is closer to a ½ is 3/10.

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The value of the expression 24(3)/(5) + 4^3 * (8(1)/(5) - 2) is -56/5.

To find the value of the expression 24(3)/(5) + 4^3 * (8(1)/(5) - 2), we follow the order of operations (PEMDAS/BODMAS) to simplify the expression step by step:

Simplify within parentheses/brackets:

8(1)/(5) - 2 = 8/5 - 2

Perform multiplication and division from left to right:

24(3)/(5) = (24 * 3)/(5) = 72/5

Perform exponentiation:

4^3 = 4 * 4 * 4 = 64

Simplify the remaining expression:

72/5 + 64 * (8/5 - 2)

Simplify within parentheses/brackets:

8/5 - 2 = 8/5 - 10/5 = -2/5

Perform multiplication:

64 * (-2/5) = -128/5

Perform addition:

72/5 + (-128/5) = (72 - 128)/5 = -56/5

Therefore, the value of the expression 24(3)/(5) + 4^3 * (8(1)/(5) - 2) is -56/5.

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Answer:

B and C

Step-by-step explanation:

Just did it on edg

Answer:

Which of these statements are true for joint variations? Check all that apply.

A.There are at least two constants of proportionality.

B.The dependent variable is related to the product of the independent variables by a constant of proportionality, k.

C.The equation must have at least two independent variables.

D.The constant of proportionality is 1.

B. The dependent variable is related to the product of the independent variables by a constant of proportionality, k.

C. The equation must have at least two independent variables.

These are the correct answers

The right angle is called the hypotenuse and the other two sides are called adjacent and opposite.

A right angled triangle is a triangle that has 3 sides and angles. For a right angled triangle, one of the angles is 90 degrees.

The longest side of the triangle is hypotenuse and the other two sides are known as the adjacent and opposite.

Hence in a right triangle, the longest side opposite the right angle is called the hypotenuse and the other two sides are called adjacent and opposite.

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The greatest of following is 10 liter. Option D. is the correct answer.

To solve this question, first we need to understand the term milliliter and liter.

Milliliter is the CGS unit while liter is the SI unit of volume.

1 ml = 0.001 liter,

For solving, we need to convert all milliliter into liter,

hence, A. 1 ml = 0.001 L

            B. 1 L = 1 L

            C. 10 ml = 10* 0.001

                           = 0.01 L

            D. 10 L = 10 L

            E. 100 ml = 100* 0.001 L

                               = 0.1 L

Therefore, the greatest of the following is 10 L.

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Answer:

D) 10 liters

1 liter = 1000ml

10 liters = 1000×10

= 10'000ml

Th given statement "The second quartile for a set of data will have the same value as the 50th percentile only when the data are symmetric." is True because the condition is true only when data is symmetric.

The second quartile, also known as the median, represents the value that separates the lower 50% of the data from the upper 50% of the data. Similarly, the 50th percentile represents the value below which 50% of the data falls.

If the data are symmetric, it means that the distribution of the data is evenly balanced around the median value. In other words, if the data are folded in half at the median, the two halves will be roughly mirror images of each other.

In such a case, the median and the 50th percentile will have the same value since they both represent the value that separates the lower 50% of the data from the upper 50% of the data.

However, if the data are not symmetric, the median and the 50th percentile will generally have different values. In this case, the median may not provide a complete representation of the center of the distribution.

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Answer:

The new points under the translation are (-8,8) and (-8,8)

Step-by-step explanation:

The method is actually quite simple and only involves basic arithmetic. The first step is to identify the translations occurring to each coordinate. If we recall that an ordered pair is (x,y), we can assign the translations to each value. Let's take the first point (1, -3) to start. 1 is our x and -3 is our y. If we then look at the translated point we can see that the x value there is -4. Then we can simply subtract the new x value, -4, from the first one, 1, and get 5. 5 is the number that we have to subtract from the next coordinate set to get the translated set. This gets us the first value of the second point -8 which we got by subtracting our 5 from the -3 in the x. Next, we can do the y value. The process is identical. Subtract the new from the old, -3-(-2)=-1. We then simply subtract the negative one (or just add one) from the y value of the other set. This gives us a value of 8, 7-(-1)=8. Then compound the two together putting x first then y and there you have it! Happy to help, Mw  

Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

Answer:

The equation is;

4(2.5x-3) = 3(2x-2)

The value of x is 1.5

Step-by-step explanation:

Mathematically, the perimeter of a square is simply the product of the length of the side and 4

Secondly, the perimeter of an equilateral lateral triangle is the product of the length of its side and 3

Thus, mathematically, we have it that;

4(2.5x-3) = 3(2x-2)

10x - 12 = 6x -6

10x -6x = -6 + 12

4x = 6

x = 6/4

x = 1.5

Answer:

0.83

Step-by-step explanation:

Answer:

0.83

Step-by-step explanation:

The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.

The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.

Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.

To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

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Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

Due to the fact that there are 15 skaters competing in the Olympic women's competition, including 4 Americans, the medals can be given to three of the 15 skaters in 455 different ways.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen. The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words means "Selection of things," where the order of the items is irrelevant.

Here,

If the order doesn't matter then we have a combination, if the order do matter then we have a permutation.

15C3=15!/(15-3)!(3)!

=15!/12!3!

=15*14*13/3*2

=5*7*13

=455

The medals can be awarded to three of the 15 skaters in 455 ways as  there are 15 skaters in the Olympic women's competition, including 4 americans.

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Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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We can use a one-sample t-test to examine the null hypothesis that the median weekly income for homes zoned for the school is at least $550.

The significance level, which in this instance is stated as 0.05, determines the crucial value for the t-test. We must locate the key value in the right-tail of the t-distribution because we are performing a one-tailed test (seeking proof that the average weekly wage is at least $550).

We may calculate the t-value as follows: t = (sample average - hypothesised mean) / (sample standard deviation / sqrt(sample size)) using the sample average of $540, the standard deviation of $86, and the sample size of 48.

t = (540 - 550) / (86 / sqrt(48))We can determine using statistical tools or a t-table

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