The choices are the blue lines. You could choose more than one

Over a short interval near time t=0, the coordinate of an automobile is given by x(1) = 30t² − 15t³. At the end of 1.0 s the automobile is deaccelerating (option C). The muon takes 0.100 m to stop (option E).

Given that x(1) = 30t² − 15t³

The velocity of the automobile is given by:

v = dx/dtv = 60t − 45t²

When the time t = 1.0 s, we have: v = 60(1.0) − 45(1.0)²= 15 m/s

Since the velocity is positive, the automobile is moving to the right (i.e. accelerating).

However, since the velocity is decreasing, the automobile is deaccelerating. To determine the acceleration, we take the derivative of the velocity with respect to time:

a = dv/dta = 60 − 90t

When t = 1.0 s, a = 60 − 90(1.0)= −30 m/s²

Since the acceleration is negative, the automobile is deaccelerating (option C).

5. The initial velocity, u = 8.00×10⁵ m/s

The acceleration, a = -3.20×10¹⁴ m/s² (since the muon is slowed down)

Final velocity, v = 0

We want to find the distance traveled, s.

To find the distance traveled, we use:

s = (v² − u²)/2a

Here, u = 8.00×10⁵ m/s,

v = 0, and

a = -3.20×10¹⁴ m/s²

So,s = (0 − (8.00×10⁵)²)/2(−3.20×10¹⁴)= 0.100 m

Therefore, the muon takes 0.100 m to stop (option E).

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Answer:

2 : 5

Step-by-step explanation:

700 g : 1.75 kg

Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g

700 g : 1.75 kg × 1000

700 g : 1750 g

÷ 50 ÷50

14 : 35

÷7 ÷7

2 : 5

  Solving the problem by multiplying and simplifying we have as a result 72x⁴y²

Simplification is a process of reducing terms to expressions, which do not generate changes or values.

  Multiplication is also known as product, and it is a mathematical operation of a successive sum, this operation consists of adding a number a certain number of times:

a x b the number "a" will be added "b" times.

  The algebraic expression that we must simplify to its minimum expression is:

6√4 x² . 2√9 x² y²  we can see that it is an expression that has two variables

6×2x² × 2×3x²y²  

12x² × 6x²y²      ; multiply power of equal base

72x⁴y²

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The new dimensions of the garden are 8 feet and 7 feet.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rectangular garden = 5 feet,

And the width of rectangular garden = 4 feet.

The area of rectangular garden = 5 x 4 = 10 square feet.

Let the length and width are increased by x feet, to make the new area 56 square feet.

The new length = 5 + x,

and new width = 4 + x.

The area = 56

(5 + x) × (4 + x) = 56

Substitute, x= 3 which satisfies the equation,

So, the new length of garden = 5 + 3 = 8 feet,

And the new width of garden = 4 + 3 = 7 feet.

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It depends but it's most like a A.

I'd say a 98/99% is an A+

Answer:

A 92% on any exam would just be an A, because it's closer to a 90% than an 100%.

Step-by-step explanation:

If it's a 95% or higher, then you can consider that an A+.

Hope this helps :)

By analyzing the polynomial we have the following conclusions about the five propositions:

1) True

2) True

3) False

4) False

5) True

In this question we have a second order polynomial with two variables (x, y) and we need to determine the truth value of each proposition by applying concepts related to polynomials.:

1) There are four terms - A term is an additive component of the polynomial. Thus, the polynomial has four terms. (True)

2) 6 · x² and 3 · x are like terms - Two components are like terms if they have the same variable. Thus, 6 · x² and 3 · x are like terms. (True)

3) The coefficient on y is 14 - A coefficient is a constant that accompanies a variable. The constant of y is -14. (False)

4) Simplified, the expression is 6 · x² + 5 · x - 14 · y - The simplification of the polynomial is done by applying algebraic properties. The simplified form is 6 · x² + x - 14 · y. (False)

5) The commutative property allows the expression to be written as 6 · x²  - 14 · y + 3 · x - 2 · x - Commutative property indicates that the order of components of the polynomial can be changed without changing the result of the entire polynomial. (True)

The statement is incomplete and incorrectly formatted. Correct statement is shown below:

Determine the truth value of each statement based on the expression 6 · x² - 2 · x - 14 · y + 3 · x.

1) There are four terms.

2) 6 · x² and 3 · x are like terms.

3) The coefficient on y is 14.

4) Simplified, the expression is 6 · x² + 5 · x - 14 · y.

5) The commutative property allows the expression to be written as 6 · x²  - 14 · y + 3 · x - 2 · x.

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Answer:

answer is

Step-by-step explanation:

TRUE

FALSE

FALSE

FALSE

TRUE

The height of the tower from which the rocket was launched is 190 feet and  it takes 6 seconds for the rocket to hit the ground.

The height of the tower from which the rocket was launched, we need to find the value of h(0) in the given function.

Substituting t = 0 into the equation h(t) = -16t² + 65t + 190:

h(0) = -16(0)² + 65(0) + 190

h(0) = 190

Therefore, the height of the tower from which the rocket was launched is 190 feet.

To find the time it takes for the rocket to hit the ground, we need to find the value of t when h(t) = 0.

In other words, we need to solve the equation -16t² + 65t + 190 = 0.

So, 16t²- 65t - 190 = 0.

Using the quadratic formula: t = (-b ± √(b² - 4ac)) / (2a)

where a = -16, b = 65, and c = 190.

t = (65 ± √(65² - 4(16)(-190))) / (2(-16))

t = (65 ± √(4225 + 12160)) / (32)

t = (65 ± √(16385)) / (32)

Since we are looking for the time it takes for the rocket to hit the ground, we only consider the positive value of t.

t = (65 + √(16385)) / (32)

t = 6.031 seconds

Therefore, it takes 6 seconds for the rocket to hit the ground.

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The height of the tower from which the rocket was launched will be 190 feet and it will takes 6 seconds for the rocket to hit the ground.

We are given the height of the tower from which the rocket was launched, we have to find the value of h(0) in the given function.

Substituting t = 0 in h(t) = -16t² + 65t + 190:

h(0) = -16(0)² + 65(0) + 190

h(0) = 190

To determine the time it takes for the rocket to hit the ground,  h(t) = 0.

To solve the equation -16t² + 65t + 190 = 0.

So, 16t²- 65t - 190 = 0.

Using the quadratic formula:

t = (-b ± √(b² - 4ac)) / (2a)

t = (65 ± √(65² - 4(16)(-190))) / (2(-16))

t = (65 ± √(4225 + 12160)) / (32)

t = (65 ± √(16385)) / (32)

t = 6.031 seconds

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(a) The cost of 1 kg of turnips is £71.95, and

(b) The cost of 1 kg of mushrooms is £89.50.

To solve this problem, let's assign variables to the unknowns.

Let the cost of 1 kg of mushrooms be 'm' and the cost of 1 kg of turnips be 't'.

According to the given information:

Equation 1: 2m + 2.5t = 8.55

Equation 2: 3m + 4t = 13.10

We can solve these equations simultaneously to find the values of 'm' and 't'.

To eliminate the decimals, let's multiply both sides of Equation 1 by 10 and Equation 2 by 20:

20m + 25t = 85.50

60m + 80t = 262.00

Now, let's multiply Equation 1 by 12 and subtract Equation 2 multiplied by 5:

240m + 300t - (60m + 80t) = 1026.00 - 1310.00

180m + 220t = -284.00

We have a new equation:

180m + 220t = -284.00 ---(3)

Next, let's multiply Equation 1 by 18 and subtract Equation 2 multiplied by 4:

36m + 45t - (60m + 80t) = 154.35 - 524.00

-24m - 35t = -369.65

We have another new equation:

-24m - 35t = -369.65 ---(4)

Now, we have a system of linear equations with two variables. Let's solve this system by eliminating one variable.

Multiply Equation 3 by 35 and Equation 4 by 220:

6300m + 7700t = -9940.00 ---(5)

-5280m - 7700t = -81323.00 ---(6)

Adding Equations 5 and 6, we eliminate 't':

1020m = -91263.00

m = -91263.00/1020

m = -89.50

Substituting the value of 'm' back into Equation 3:

180(-89.50) + 220t = -284.00

-16110 + 220t = -284.00

220t = -284.00 + 16110

220t = 15826.00

t = 15826.00/220

t = 71.95.

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Answer:

133,727.67

Step-by-step explanation:

the other one is wrong

also have a nice day

The amount of the money to the nearest cent, would be in the account after 12 years is $133,307.18.

Since the invested amount is $77,000

The rate of interest is 4.6% compounded continuously

And, the number of years is 12

So,

= $77,000 * (1 + 0.046/12)^48

= $133,307.18

hence, The amount of the money to the nearest cent, would be in the account after 12 years is $133,307.18.

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The correct answer is b. 0.0082.

To calculate the probability that an attorney charges more than $210 per hour, we can use the Z-score and the standard normal distribution.

First, we need to calculate the Z-score, which measures the number of standard deviations a value is from the mean. The formula for the Z-score is:

Z = (X - μ) / σ

where X is the value we want to calculate the probability for, μ is the mean, and σ is the standard deviation.

In this case, X = $210, μ = $150, and σ = $25.

Z = (210 - 150) / 25 = 2.4

Next, we need to find the area under the standard normal distribution curve for a Z-score of 2.4, representing the probability that an attorney charges more than $210 per hour. We can look up this value in a standard normal distribution table or use a calculator.

The probability is approximately 0.0082.

Therefore, the correct answer is b. 0.0082.

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The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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Answer:

$200

Step-by-step explanation:

Hope this helped you!!

Answer:  B 9:21

Step-by-step explanation:

9 reduces to three and 21 reduced to 7

After comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

A transformation known as a rotation involves turning the figure either clockwise or counterclockwise. The centre of rotation is the fixed location where the rotation occurs. The term "angle of rotation" refers to the amount of rotation. A figure can be rotated 90 degrees, or a quarter turn, in either a clockwise or counterclockwise direction. You have rotated the figure 180 degrees when you have spun it exactly halfway. The figurine may be rotated 360° by turning it all the way around. A counterclockwise turn has a positive magnitude because a clockwise rotation indicates a negative magnitude. Rotational symmetry exists in every regular polygon. When an object is rotated around its centre, it retains its original appearance. The object is then referred regarded as having rotational symmetry.

Let's write the coordinates of the original figure,

A = (1, -5)

B = (6, -2)

C = (6, -5)

D = (1, -8)

Now, if we rotate it 90 degrees counterclockwise, the coordinates are:

A' = ( 5, 1)

B' = (2, 6)

C' = (5, 6)

D' = (8, 1)

Now if we rotate it again 90 degrees counterclockwise, the coordinates are:

A'' = ( -1, 5)

B'' = (-6, 2)

C'' = (-6, 5)

D'' = (-1, 8)

Now from the figure, let's write the coordinates.

A' = ( -1, 5)

B' =  (-6, 2)

C' = (-6, 5)

D' =  (-1, 8)

This is the same as the coordinates of the second 90 degrees counterclockwise rotation.

Since we did two 90 degrees rotations, we can say we did a total of 180° counterclockwise rotation.

Therefore after comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

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Answer: 180 degrees counterclockwise rotation.

Answer:

55° because 2and 6 are corresponding angles (they are equal)

6 and 8 are vertically opposite angles (they are equal)

Step-by-step explanation:

hope this is helpful

Answer:

The answer is 3/4 which isn't among the choices.

Step-by-step explanation:

\(\frac{3*2}{2+4}\)

Answer:

B

Step-by-step explanation:

Change it to Slope - Intercept Form it will be easier.

All the correct values that make the given inequality true are,

⇒ d = - 24, - 23, - 21, - 19, - 14

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequality is,

⇒ 3d ≥ - 72

Now, We can solve as;

⇒ 3d ≥ - 72

Divide by 3 both side,

⇒ d ≥ - 72/3

⇒ d ≥ - 24

Thus, All the correct values that make the given inequality true are,

⇒ d = - 24, - 23, - 21, - 19, - 14

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Answer:

I could tell 1st one the answer is xy=5

The volume of the cuboid package will be 288 cubic inches.

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is that your Amazon package just arrived in a 6-inch by 12-inch by 4-inch box.

We can write the volume of the cuboid package as -

V = Length x Width x Height

V = 6 x 12 x 4

V = 24 x 12

V = 288 cubic inches

Therefore, the volume of the cuboid package will be 288 cubic inches.

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The fraction of the tiled floor is made of darker tiles is = \(\frac{4}{9}\)

Now, According to the question:

Let's know:

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

The given data is;

A corner of a tiled floor is shown.

If the entire floor is tiled in this way and each of the four corners looks like this one.

To find fraction of the tiled floor is made of darker tiles.

Take the total darker portion is 16

All is = 6 x 6 = 36

The fraction of the tiled floor is made of darker tiles will be:

\(\frac{16}{36}=\frac{4}{9}\)

The answer is:

= \(\frac{4}{9}\)

Hence, The fraction of the tiled floor is made of darker tiles is = \(\frac{4}{9}\)

A one-tailed test is only interested in one direction in comparison to the two-tailed test, which can be in two directions. In this instance, we are interested in seeing whether the experimental therapy enhances performance and thus only looking at the positive differences between the two samples.

A one-tailed test assumes that an outcome will only occur in one direction, either a positive or a negative difference between two groups, while a two-tailed test assumes that the result can happen in two directions.In other words, a one-tailed test is only interested in one tail, the right or left, and disregards the other. It is best used when we expect that the sample will increase or decrease the outcome variable. It is relevant in the context where there is strong a priori evidence about the direction of effect.

Therefore, in this instance, it is expected that the experimental therapy enhances performance; hence, we are only interested in one direction or a one-tailed test to determine the difference between the two groups.

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The 9th term of the given arithmetic sequence is  -29x + 33.

The given sequence is,

 −5x+1, −8x+5,   −11x+9,...

The given sequence is in AP

We have to find its 9th term

So, we have,

First term =  −5x+1

Common difference =  −8x+5 -  ( −5x+1)

                                  =  -3x+4

Now for 9th term = n = 9

Now since we know that,

\(T_{n}\) = first term + (n-1) x common difference

Therefore, for n = 9

⇒ T₉ =   −5x+1 + 8(-3x+4)

        =   - 5x + 1 - 24x  + 32

        =   -29x + 33

Hence,

9the term is ⇒ -29x + 33

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Determining a single pair of congruent corresponding sides are congruent would prove triangle 1 is similar to triangle 2.

The correct option is (b).

Given,

Consider the two triangles:

From the figure,

To find the which statement is true?

We have to prove the two triangles are congruent by SSS criteria

SSS Criteria says that:

If the two triangles are unequal sides then ;

The two triangles can be proved similar by the SSS similarity theorem if their corresponding sides are proportional.

Now, According to the question:

The true statement is the:

Hence, Determining a single pair of congruent corresponding sides are congruent would prove triangle 1 is similar to triangle 2.

The correct option is (b).

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Rounded to one decimal place, the new forecasted trend for the current period is 31.3.

To calculate the new forecasted trend for the current period using exponential smoothing, we need the current observed value (33), the previous forecasted value (31), and the smoothing constant (β) of 0.15.

Exponential smoothing assigns a weight to the previous forecast and combines it with the current observed value to generate a new forecast. The formula for exponential smoothing is:

New Forecast = (1 - β) * Previous Forecast + β * Current Observed Value

Substituting the given values, we can calculate the new forecasted trend:

New Forecast = (1 - 0.15) * 31 + 0.15 * 33

           = 0.85 * 31 + 0.15 * 33

           = 26.35 + 4.95

           = 31.3

Exponential smoothing is a forecasting technique that assigns more weight to recent observations while considering past forecasts. The smoothing constant, β, determines the rate at which the influence of past forecasts diminishes as new observations become available. In this case, with a β value of 0.15, the new forecast is closer to the current observed value compared to the previous forecast, reflecting a higher sensitivity to recent data.

It's important to note that exponential smoothing assumes a relatively stable trend and does not account for other factors or seasonality that may impact the forecast. It is a simple method that can be useful for generating short-term forecasts based on recent trends, but it may not be suitable for all forecasting scenarios.

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The equation of the line parallel to 9x - 4y = -7 that passes through the point (8, -5) is y = (9/4)x - 19/2.

To find the equation of a line parallel to a given line, we first need to determine the slope of the given line.

9x - 4y = -7

can be rewritten as:

-4y = -9x - 7y

= (9/4)x + 7/4

So, the slope of the given line is 9/4.

Since the line we want to find is parallel to the given line, it will also have a slope of 9/4.

Now we can use the point-slope form of the equation of a line to find the equation of the line passing through (8, -5) with a slope of 9/4:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Substituting m = 9/4 and

(x1, y1) = (8, -5), we get:

y - (-5) = (9/4)(x - 8)

Simplifying, we get:

y + 5 = (9/4)x - 18/4y + 5

= (9/4)x - 9/2y

= (9/4)x - 19/2

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The 100 students from a large university represent a sample.

In statistics, a sample is a subset of individuals or observations taken from a larger group known as the population. The purpose of taking a sample is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.

In this scenario, the 100 students from a large university who were asked about their opinion on the new health care program represent a sample. The sample is a smaller group of individuals selected from the larger population of all students at the university. The intention is to gather insights and information about the opinions of the broader population based on the responses obtained from the sample. Statistical inference techniques can be applied to analyze the data collected from the sample and make conclusions or predictions about the entire population.

It is important to note that the sample should be representative of the population to ensure that the conclusions drawn from the sample can be generalized to the larger population accurately. The process of selecting a sample and conducting statistical analyses is an essential part of studying and understanding populations using data and statistics.

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Answer:

it would be 6 muffins each and muffins sounds so good right now TwT

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

20-2=18

18÷3=6

Therefore there are 6 muffins in each box