A rock is dropped from a height of 88.6 m and falls toward Earth in a straight line. In t seconds the rock falls 4.9t2 meters.

Answer:

2x+12

Step-by-step explanation:

2x+3(x−2)−3(x−6)

Distribute:

=2x+(3)(x)+(3)(−2)+(−3)(x)+(−3)(−6)

=2x+3x+−6+−3x+18

Combine Like Terms:

=2x+3x+−6+−3x+18

=(2x+3x+−3x)+(−6+18)

=2x+12

Answer:

=2x+12

Answer:

2x + 12

Step-by-step explanation:

distribute numbers inside parentheses

2x + 3x -6 -3x + 18

add x values together and integers together

2x + 3x -3x = 2x

-6 + 18 = 10

simplified to 2x + 12

The steps of finding mean and standard deviation of a simple random sample are given below.

What is standard deviation and mean?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.

The steps of finding mean and standard deviation of a simple random sample are:

Divide the population standard deviation (σX) by the square root of the sample size (n) to get the standard deviation of the sample mean (σX):  = σ/n.

How to determine sample means

Add up the examples' components. You must first count the number of sample items in each data set and then add up all of the sample items. ...

Sum divided by the quantity of samples.

The outcome is the mean.

To determine the variance, use the mean.

To determine the standard deviation, use the variance.

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Polynomial factoring is the opposite of polynomial multiplication. A polynomial's leftover will be 0 if it is divided by its factors after factoring.

A multiple is a number that is the result of multiplying the provided number by other numbers, as opposed to a factor, which divides the given number perfectly without leaving a remainder.

When a polynomial f(x) is divided by (x - c), and (x - c) is a factor of the polynomial f(x), the remainder of the division is simply equal to 0. Therefore, if the remainder of a division like the ones mentioned above equals zero.

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Answer: 99.7%

Step-by-step explanation:

Edg 2020

Answer:

894 mi²

Step-by-step explanation:

the area of parallelogram= base x height= 24mi x 37.25mi = 894 mi²

The range of the amount Tyrese makes each hour if he can only work a total of 8 hours is 20 ≤ x ≤ 24.80

The range is the space between the highest and lowest numbers.

Given: Tyrese works every day and gets paid more per hour the more time he puts in. Create a function to represent a starting wage of $20 that rises by 3% each hour.

To find: Establish the range of Tyrese's hourly pay if he can only work a total of 8 hours.

The beginning wage is $20.

Suppose x hours are in a day.

A $20 salary is offered, with a 3% hourly raise.

e.g., increment = (3/100)*20*x = (3/5)x

A function's maximum possible earnings are

y = 20 + (3/5)x

He is only allowed to work a total of 8 hours, per our instructions.

Therefore, the most money she can make in 8 hours is

y = 20 + (3/5)*8

y = 20 + 4.8

y = 24*8

$20 is the first sum.

As a result, if Tyrese can only work a total of 8 hours every day, the range of his hourly wage is .

Therefore, the correct answer is option B) 20 ≤ x ≤ 24.80.

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Using PEMDAS to solve the algebraic expression, the value is 2

Mathematical operations are operations that involve the manipulation of numbers, variables, and/or equations. Examples of mathematical operations include addition, subtraction, multiplication, division, exponentiation, and root extraction.

In this problem, we can use PEMDAS to solve this algebraic expression.

[(3/5 + 0.425 - 0.005) ÷ 0.1] / [30.5 + 1/6 + 3 (1/3)] + [6(3/4) + 5(1/2)] / 26 ÷ 3(5/7)] - 0.05

This will become;

[10.2 / 34] + [12.25 / 7] - 0.05

Dividing and adding the numbers will give us;

(0.3 + 1.75) - 0.05 = 2

The value is 2

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Answer:

so x = 20 , y = -21 , which is in quad IV

r^2= 400+441 = 841

r = √841 = 29

then cos Ø = 20/29

sec Ø = 29/20 = 1.45

Step-by-step explanation:

please give brainliest

the distance it will cover before coming to rest is 75m. Solved using the concept of velocity.

Simply said, velocity is the rate of movement in a certain direction. such as the speed of a car driving north on a highway or the pace at which a rocket takes off.

Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. Since acceleration is only the rate at which velocity changes, acceleration is likewise a vector quantity.

Given that,

initial velocity (u) = 30 m/s

acceleration (a) = - 6 m/s²

As we know,

v² = u² + 2as

or, 0 = (30)² + 2 × (-6) × s

or, s = 75 m

Hence, the distance it will cover before coming to rest is 75m

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There are 8 half dollars and 9 quarters inside the cup.

We can set up a system of equations to represent the number of half dollars (h) and quarters (q) in the cup and the total value of the coins.

Let h be the number of half dollars and q be the number of quarters.

The first equation represents the total number of coins in the cup:

The second equation represents the total value of the coins:

To solve for h and q, we can use either the substitution or elimination method.

By substitution, we can solve for one variable in terms of the other in one of the equations and substitute it into the other equation.

So, q = 17 - h

then substitute it into the second equation:

0.5h + 0.25(17 - h) = 5.50

By solving for h, we get h = 8, then we can substitute it back into the first equation to get q = 9

So, there are 8 half dollars and 9 quarters inside the cup.

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Answer:

- 1/4 slope

y-intercept: 2

pls mark me brainless if im right.

Answer:

the equation of the line is y = -7x - 2.

Step-by-step explanation:

To find the equation of the line with slope -7 that passes through the point (4, -30), we can use the point-slope form of a line.

The point-slope form of a line is:

y - y1 = m(x - x1)

where:

(x1, y1) is a point on the line

m is the slope of the line

Substituting the given values, we get:

y - (-30) = (-7)(x - 4)

Expanding the right side, we get:

y + 30 = -7x + 28

Combining like terms, we get:

y = -7x - 2

So the equation of the line is y = -7x - 2.

There is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.

At the null hypothesis, it is tested if there is no evidence of different performance, that is, the mean is of 8.5 hours, hence:

[tex]H_0: \mu = 8.5[/tex]

At the alternative hypothesis, it is tested if there is evidence of different performance, with a mean different of 8.5 hours, hence:

[tex]H_1: \mu \neq 8.5[/tex]

We have a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, hence the critical value is of:

|z| = 1.96.

(p-value of 1 - (0.05/2)).

Hence the decision rule is given as follows:

The population standard deviation is known, hence the z-distribution is used to obtain the test statistic.

The equation is given as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

The parameters for this problem are given as follows:

[tex]\overline{x} = 8.8, \mu = 8.5, \sigma = \sqrt{1.21} = 1.1, n = 21[/tex]

Hence the test statistic is of:

[tex]z = \frac{8.8 - 8.5}{\frac{1.1}{\sqrt{21}}[/tex]

z = 1.24.

|z| < 1.96, hence there is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.

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By using formula, P(A n B) = 0.346. Rounded to the nearest thousandth, P(A n B) = 0.346

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. In between 0 and 1, the closer the probability is to 1, the more likely the event is to occur. The probability of an event is usually represented by the letter P, followed by the event in parentheses.

Rounding off is a mathematical operation that is used to reduce the number of digits in a number while maintaining its value within a certain degree of accuracy. When we round off a number, we look at the digit that is immediately to the right of the last digit that we want to keep. If the number is less than 5, we keep the last digit as it is, but if the number is greater than or equal to 5, we add 1 to the last digit.

We can use the formula of conditional probability to find the value of P(A n B).

P(A n B) = P(A U B) - P(A) - P(B) + P(An B)

We know that:

P(A U B) = P(A) + P(B) - P(A n B)

So we can substitute this in the first equation:

P(A n B) = P(A U B) - P(A) - P(B) + P(An B)

P(An B) = P(A U B) - P(A) - P(B) + P(An B)

Now we can substitute the given values:

P(An B) = 0.366 - 0.32 - 0.2 + P(An B)

P(An B) = 0.346 + P(An B)

To find P(An B) we can subtract 0.346 from both sides of the equation:

P(An B) = P(An B) - 0.346

P(An B) = P(An B) - 0.346

So, P(An B) = 0.346

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The measure of the exterior angle for Object 1 - a decagon is 36°, while th measure of the exterior angle for Object 2  - a dodecagon is 30°.

n object with 12 sides is called a dodecagon while an object with 10 sides is called a decagon.

Note that the exterior angles of all shapes, regular or irregular is 360°. In this case, the shapes are regular, which means that the sides are equal, hence their angles will be equal.

To derive the exterior angle of a regular geometric shape, the formula is given as:

Exterior angle measure = 360 / number of sides

Hence for A (the decagon), we have:

EAM = 360/10

= 36°

For B (the dodecagon) we have:

EAM = 360/12

= 30°

Thus the exterior angle for both shapes are 36° and 30° respectively.

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The answer for it is r = -4 :))

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same question buts its answered on the link above

Answer:

that is the persons username I got it from

Step-by-step explanation:

3 and 7

6 and 14

9 and 21

12 and 28

15 and 35

Step-by-step explanation:

If the two numbers they give you are 9 and 21, then the cranberry's are 3 ounces and the apples are 7 fliud ounces, then you can divide and multiply them to your will.

Length of diagonals are :

[tex]D_1 = \sqrt{ (-5-(-1))^2 + (1-(-2))^2 }\\\\D_1 = 5\ units[/tex]

[tex]D_2 = \sqrt{(-2 -2 )^2 + (5-2)^2}\\\\D_2 = 5 \ units[/tex]

Now, Slope of both the diagonal is :

[tex]m_1 =\dfrac{1-(-2)}{-5-(-1)} \\\\m_1 = -\dfrac{3}{4}\\\\m_2 = \dfrac{5-2}{-2-2}\\\\m_2 = -\dfrac{3}{4}[/tex]

Now, product of slopes are :

[tex]m_1 \times m_2 = \dfrac{-3}{4} \times \dfrac{-3}{4}\\\\m_1 \times m_2 = \dfrac{9}{16}[/tex]

Since, the product of slope is not equal to -1 . It means that the slopes are not perpendicular.

Therefore, this quadrilateral is not square.

The Equation for the value y is a. y = 21 + 0.25x (where x represents the number of weeks)

b. The value of the stock after 20 weeks would be 21 + (0.25 * 20) = $26.

This equation represents the linear relationship between the value of the stock (y) and the number of weeks (x). The value of the stock is initially $21, and it increases by $0.25 every week. This is represented by the coefficient of x (0.25) in the equation. By plugging in x=20 into the equation, we can find that after 20 weeks, the value of the stock would be $26. This is assuming that the rate of increase remains constant over time.

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Answer:

Step-by-step explanation:

An inverse variation equation is:

We have y = 3 when x = 8, find the coefficient k:

The equation is:

If we want to create a truth table , for say expression  (P ∨ Q)∧(~P⇒Q) , then we will create different columns having the column head as , P , Q , ~P , P ∨ Q,~P⇒Q and  (P ∨ Q)∧(~P⇒Q) and then perform the logical operation on them.

Truth table is a medium  used to perform logical operations on expressions. These operations consists of Boolean algebra or Boolean functions expressions.

On performing these logical operation we get to know whether the propositional expression is correct or incorrect, based on the input values. This  entire process is based on Boolean algebra and the table is made up of rows and columns for one or more input values.

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well, what's 230% of $480?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{230\% of 480}}{\left( \cfrac{230}{100} \right)480}\implies \text{\LARGE 1104}[/tex]

Natha can chew between 9 to 10 chewing gum each day so that it could last for 6 days.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Nathan had 58 pieces of gum that he wants to make last six days.

Therefore, The number of chewing gums he can chew is the total number of chewing gums he has divided by the total number of days which is,

= (58/6).

= 9.66 chewing gums but it should be a whole number.

So, Nathan can chew between 9 to 10 chewing gums each day.

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Answer:

C.  2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

Step-by-step explanation:

Answer:

The Answer is C.

Step-by-step explanation:

2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units

Answer: the answer is 19.6

Step-by-step explanation:

just add up by each number, for example 5.6+3 miles is 8.6 miles so just keep adding up the miles to get this answer

Answer:

[tex]7x^{2} - 2x[/tex]

Step-by-step explanation:

combine like terms. not trying to be mean, but that all you have to do.

Answer:

14-2x

Step-by-step explanation:

collect like terms

3×2+4×2-2x-x-x

6+8-2x

=14-2x