a car is being driven at a rate of 40 mph when the brakes are applied. the car decelerates at a constant rate of 10 ft/sec2. how long, in seconds, before the car stops? (round your answer to two decimal places.)

Answer:

44.444 %

Step-by-step explanation:

4/9 is 44.444%

4 reds out of 19

round where it says to round

Answer:

  18x+6

Step-by-step explanation:

You want the total length of fence required to enclose a rectangular garden with width (2x+4) and length (7x-1) feet.

Perimeter

The perimeter of a rectangle is given by the formula ...

  P = 2(L+W)

Substituting the given length and width, we find the perimeter to be ...

  P = 2((7x-1) +(2x+4))

  P = 2((7+2)x +(-1+4)) = 2(9x +3)

  P = 18x +6

The total amount of fencing Susan needs is represented by the expression (18x+6).

The probability of X being less than or equal to 100, given a lognormal distribution with μ=4.5 and σ=0.8, is calculated to be approximately 0.0003.

To calculate P(X≤100), we use the properties of the lognormal distribution with the given parameters μ=4.5 and σ=0.8. The lognormal distribution is characterized by its mean and standard deviation on the natural logarithmic scale.

First, we need to convert the value 100 to its natural logarithmic equivalent. Taking the natural logarithm of 100 gives ln(100) = 4.6052.

Next, we standardize the logarithmic value using the formula z = (ln(x) - μ) / σ. Plugging in the values, we get z = (4.6052 - 4.5) / 0.8 ≈ 0.1327.

Now, we need to find the probability corresponding to this standardized value. Using a standard normal distribution table or calculator, we can find that the probability associated with z = 0.1327 is approximately 0.0003.

Therefore, P(X≤100) is approximately 0.0003. This means that the probability of observing a value less than or equal to 100 from the lognormally distributed variable X is extremely small.

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The dimensions of the rectangle will be 4 and 6.

From the information given, we are told that the area is given by x² + 2x - 24. We will expand this as follows:

x² + 2x - 24

x² + 6x - 4x - 24

x(x + 6) + 6(x - 4)

x - 4 = 0

x = 0 + 4

Therefore, the other dimension will be:

= 24/4

= 6

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Answer:

3

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [ a, b ] is

\(\frac{h(b)-h(a)}{b-a}\)

Here [ a, b ] = [ 1, 2 ], then from the table

h(b) = h(2) = 0

h(a) = h(1) = - 3 , then

average rate of change = \(\frac{0-(-3)}{2-1}\) = \(\frac{3}{1}\) = 3

Answer:

14.6

Step-by-step explanation:

It is given that,

The average weight of the top 5 fish caught at a fishing tournament was 12.3 pounds. From the attached figure, the weight of 5 fish are given. We need to find the weight of Wayne S. fish.

Average = sum of terms/no of terms

Let the weight of Wayne S. is x. So,

Here the sum of terms is x+12.8+12.6+11.8+9.7 and the number of terms is 5.

\(12.3=\dfrac{x+12.8+12.6+11.8+9.7}{5}\\\\61.5=x+12.8+12.6+11.8+9.7\\\\61.5=x+46.9\\\\x=14.6\)

So, the weight of the heaviest fish is 14.6.

Answer:

7

Step-by-step explanation:

Because the parts of the circle are congruent, the segments are as well, we can use that to make an equation then solve it like normal

9x-34=4x+1

-1 on both sides

9x-35=4x

-9x on both sides

-35=-5x

x=7

The fourth-order accurate finite difference approximation is:

u00(x) = c−2u(x − 2h) + c−1u(x − h) + c0u(x) + c1u(x + h) + c2u(x + 2h) + O(h4).

Compute the coefficients using the matlab code fdstencil.m and check that they satisfy the system you determined in part (a).

Test this finite difference formula to approximate u

00(1) for u(x) = sin(2x) with values of h from the array hvals = log space(-1, -4, 13). Make a table of the error vs. h for several values of h and compare against the predicted error from the leading term of the expression printed by  fdstencils.

You should observe the predicted accuracy for larger values of h. For smaller values, numerical cancellation in computing the linear combination of u values impacts the accuracy observed.

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Answer:

D

Step-by-step explanation:

Answer: Reform

Step-by-step explanation:

Reform means make changes in order to improve it.

The value of x is 8.37

What is the area of the shaded region?

The area of the shaded area is the difference between the total area of the polygon and the area of the portion of the polygon that is not shaded. In polygons, the area of the shaded component might appear in two different ways. A polygon's sides or its center are both potential locations for the shaded area.

Here, we have

Given: The area of the shaded region is 20cm².

we have to find the value of x.

x in this case is the radius. In fact, both the height and base are the radius.

To find the radius, we need to form an equation. The only info given is with the area of the shaded area which is 20cm².

The area of the sector - an area of the triangle = the shaded area.

Area of the sector = πr²/4

Area of triangle = (1/2)bh

Area of the triangle = x²/2

The area of the triangle is in that way, as the height and base are x ( and x is the radius here!)

=  πr²/4 - x²/2

Multiply 4 with the whole equation as it is the LCM.

= 4(πr²/4 - x²/2) = 80

= πx² - 2x² = 80

= 1.142x² = 80

x² = 70.1

x = 8.37

Hence, the value of x is 8.37

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Answer:

4

Step-by-step explanation:

Given algebraic expression: 6x^3y+7x^2+5x+46x3y+7x2+5x+4

We know that the constants are the terms in the algebraic expression that contain only numbers.  

In the given expression only last term has only numerical value and no variable, rest of them have variable x.

Therefore, the constant term in the given algebraic expression  6x^3y+7x^2+5x+46x3y+7x2+5x+4 is 

Answer:

A) 435,050/6,215,000= 0.07= 7%

B) 4,972,000/6,215,000= 0.8= 80%

C) 6,215,000-(4,972,000+435,050)= 807,950

807,950/6,215,000=0.13=13%

Time taken to compress 1/4 kilogram trash = 3/8 minutes

The correct option is C.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given,

Trash compactor can compress 2/3 kilogram trash in 1 minute

Time to compress 1 kilogram = 1 ÷ 2/3

Time to compress 1/4 kilogram = 1/4 × 1 ÷ 2/3 = 1/4 ÷ 2/3

                                                    = 1/4 × 3/2 = 3/8 minutes

Hence, 3/8 minutes is the time taken to compress 1/4 kilograms of trash.

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To solve:

We multiply the denominator by 5:

To write it as a simplified fraction, we can note that 4 * 6 = 24

Then:

78/ 109 is approximately equal to 0.71559

you can check your calculator to know the decimal form.

hope it's helpful!

The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;

The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;

D) Whether or not there is an acceleration in any direction

Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.

The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.

The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.

The possible options in the question from a similar question on the internet are;

A) When there is no acceleration in any direction

B) When there is no acceleration in one direction

C) Only when an acceleration is present in both directions

D) Whether or not there is an acceleration in either direction

E) Only when the acceleration is in the y-direction

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Answer

perimeter of cuboid = 4 (l + w + h)

= 4 (10 + 9 + 7) = 104

500-104=396

so there will be 396 square inches of cardboard left over.

Step-by-step explanation:

The experiment that would best test the hypothesis depends on the nature of the hypothesis itself. However find other people born in the same week and ask them what their favorite type of movie is, would likely be the most suitable (option c).

This option involves gathering data from individuals who share the same birth week. By asking them about their favorite type of movie, it allows for a direct comparison and analysis of movie preferences within a specific group. This experiment design aims to investigate if there is a correlation or similarity in movie preferences among individuals born in the same week.

Option a. Asking your friends if they also like the same type of music that you like is more of a casual survey and may not provide robust evidence to test the hypothesis, as it relies on a small, potentially biased sample size.

Option b. Interviewing all of your friends and finding out if the ones born in other weeks also like the same types of movies that you like could provide some insights, but it lacks a comparison group and may not address the specific hypothesis being tested.

Option d. Finding other people born in the same week and telling them about your favorite movie and asking if they also liked it does not directly test the hypothesis about movie preferences and birth week correlation.

Therefore, option c. finding other people born in the same week and asking them about their favorite type of movie would likely provide the most relevant data to test the hypothesis.

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Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

“I should not have to turn the water off while I brush my teeth.”

Step-by-step explanation:

A claim is a statement that expresses the main idea or position of an argument. A claim is usually supported by reasons and evidence to persuade the audience to accept it. A claim can also be challenged or refuted by counterclaims and counterarguments.

To find the claim in the passage, you need to look for the statement that expresses the author’s main idea or position on the topic of turning off the water while brushing teeth. The claim is usually found at the beginning or the end of the passage, but it can also be implied or repeated throughout. In this case, the claim is found at the beginning of the passage:

“I should not have to turn the water off while I brush my teeth.”

This is the claim because it expresses the author’s main idea or position on the topic. The rest of the passage provides reasons and evidence to support this claim, such as hating to brush teeth, finding it annoying to turn off the water, and being only one person who cannot waste much water. These reasons and evidence may not be very convincing or valid, but they still serve to support the claim.

So, the claim in the passage is I should not have to turn the water off while I brush my teeth.

Answer: \(7.93\)

Step-by-step explanation:

Given

\(f(x)\) is an exponential function. Suppose \(f(x)\) is \(ae^{bx}\)

\(f(1.5)=5\ \text{and}\ f(7.5)=79\)

\(\Rightarrow 5=ae^{1.5b}\\\Rightarrow \ln 5=\ln a-1.5b\quad \ldots(i)\)

Similarly,

\(\Rightarrow 79=ae^{7.5b}\\\Rightarrow \ln(79)=\ln a+7.5b\quad \ldots(ii)\)

Subtract (i) and (ii)

\(\Rightarrow \ln (79)-\ln (5)=9b\\\Rightarrow \ln (\frac{79}{5})=9b\\\\\Rightarrow b=\dfrac{\ln (\frac{79}{5})}{9}\\\\\Rightarrow b=0.3066\)

Insert the value of \(b\)

\(\Rightarrow 5=ae^{0.46}\\\Rightarrow a=5\times 0.6312\\\Rightarrow a=3.156\approx 3.16\)

So, the function becomes

\(\Rightarrow f(x)=3.16e^{0.3066b}\)

\(\Rightarrow f(3)=3.16e^{0.3066\times 3}\\\Rightarrow f(3)=7.927\approx 7.93\)

Answer:

7.93

General Exponential Form: y=ab^x

Plug in both points

divide the equations

cancel out a, subtract exponent of b

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

A - B is -33.64

Step-by-step explanation:

B - A is 33.64

The numerical value of A - B  and the numerical value of B - A are A - B is; -33.64 and B - A is; 33.64 respectively.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given the expression 113.47 - (43.72 - 26.9) represents A.

The expression 113.47 - (26.9 - 43.72) represents B .

Thus, A - B =  113.47 - (43.72 - 26.9)  - ( 113.47 - (26.9 - 43.72))

First we have to solve the bracket terms;

A - B =  113.47 - (43.72 - 26.9)  -  113.47  + (26.9 - 43.72)

A - B = 113.47 - 16.82 - 113.47 - 16.82

       =  113.47  - 113.47 - 16.82 - 16.82

       = -33.64

Therefore, the value of A- B is -33.64 .

B - A = 113.47 - (26.9 - 43.72) - (113.47 - (43.72 - 26.9))

Now, solving the bracket terms;

B - A = 113.47 - (26.9 - 43.72) - 113.47 + (43.72 - 26.9)

       =  113.47 + 16.82 - 113.47 + 16.82

       = 33.64

Hence, the value of the A - B is; -33.64 and B - A is; 33.64 .

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Answer:

No , because The Pythagorean equation isn't true.

Step-by-step explanation:

a² = b² + c²

14² = 11² + 8²

196 = 121 + 64

196 ≠ 185

In probability, disjoint events are events that have no chance of occurring together. The given events are said to be disjoint if the occurrence of one event eliminates the possibility of another event happening. The drawing of one ball colored red from a one ball colored blue from the same bag is an example of the selection of two events.

To determine whether these events are disjoint, we must first determine the likelihood of their occurrence. Two events are disjoint if their probability of occurring together is zero. Since both balls are drawn from the same bag, it is possible for both events to happen together. Therefore, the events are not disjoint.In conclusion, the events are not disjoint.

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Answer:

92 1/15

Step-by-step explanation:

74=19=92

3/5 and 2/5

3times 5 is 15

denominator is 15

9-10=1

92 1/15

The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = \(4!(2!)^{4}\)

=24x16

=384 ways

Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)

and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).

Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).

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Answer:

I think the correct answer is 27 so option c. :)

Nino, this is the solution to the step 2:

Let's recall that any non-zero real number raised to the power of zero is one, therefore:

• g (0) = 1.5 (0.5) ^0

• g (0) = 1.5 * 1

• g (0) = 1.5

The initial value of the reflected function is 1.5

For x = 1, we have:

g (1) = 1.5 (0.5)

g (1) = 0.75

For x = 2, this is the reflected function:

g (2) = 1.5 (0.5)²

g (2) = 1.5 * 0.25

g (2) = 0.375

And for x = 3, this is the result:

g (3) = 1.5 (0.5)³

g (3) = 1.5 * 0.125

g (3) = 0.1875