What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.​

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

Step-by-step exklamatorisks:

Tank you

Answer:

y = x + 9 ( in years)

Step-by-step explanation:

Given that Patrick is x years old and his brother is 9 years older than he is. Then;

His brother's age will be

= x + 9

If his brother is y years old then

y = x + 9

Since y is the subject, y has been expressed in terms of x. Where y is the age of Patrick's brother and x is Patrick's age.

Answer:

1, 2 and 3  (I, II and III)

Step-by-step explanation:

Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.

The y intercept is 1

the x intercept is:  

0 = 3x + 1

x = 1/3

Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III.  Graph the equation to prove this.  

Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = \(\frac{168}{7}\)

x = 24

Therefore, value of x = 24

join all the points form -4 to 4

the answer for table is

(-4,-4) (-3,-3) (-2,-2) (-1,-1) (0,0) (1,1) (2,2) (3,3) (4,4)

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The rat will press the left lever x = y/3 = 25 times and the right lever y = 75 times in 10 minutes.

Assuming the rat gets all of the reinforces and there are 100 total lever presses in 10 minutes, the rat will press the -

left lever x = y/3 = 25 times and the right lever y = 75 times in 10 minutes.

On a VI-30 second schedule, the reinforcement is delivered on average once every 30 seconds, while on a VI-10 second schedule, the reinforcement is delivered on average once every 10 seconds.

Let's assume that the rat presses the levers at a constant rate, and let x be the number of lever presses on the left lever and y be the number of lever presses on the right lever in 10 minutes (600 seconds).

Then, we have:

x + y = 100 (total number of lever presses)

The average rate of pressing the left lever is 1 reinforcement every 30 seconds,

So, the average number of reinforcements earned on the left lever is 600/30 = 20.

Similarly, the average number of reinforcements earned on the right lever is 600/10 = 60.

Let's assume that the rat earns all the reinforcements by pressing the levers in such a way that the ratio of the number of reinforcements earned on the left lever to the number earned on the right lever is the same as the ratio of the number of lever presses on the left lever to the number on the right lever.

Mathematically, we have:

x/y = 20/60 = 1/3

Multiplying both sides by y, we get:

x = y/3

Substituting this into the first equation, we get:

y/3 + y = 100

Simplifying, we get:

y = 75

Therefore, the rat will press the left lever x = y/3 = 25 times and the right lever y = 75 times in 10 minutes.

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It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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To change to spherical coordinates, we can use the following formula:

x = ρ sin φ cos θ

y = ρ sin φ sin θ

z = ρ cos φ

We also note that the region of integration is a hemisphere with radius 3, and that the integrand contains x^2z+y^2z+z^3. Since we are integrating over a hemisphere, the bounds of ρ can be from 0 to 3, φ can be from 0 to π/2, and θ can be from 0 to 2π.

Next, we need to express the integrand in terms of ρ, φ, and θ. Substituting x, y, and z, we get:

x^2z + y^2z + z^3 = ρ^4 sin^2 φ cos^2 θ (ρ cos φ) + ρ^4 sin^2 φ sin^2 θ (ρ cos φ) + (ρ cos φ)^3

Simplifying, we get:

x^2z + y^2z + z^3 = ρ^5 cos^2 φ + ρ^3 cos^3 φ

Thus, the new integral is:

∫0^(2π) ∫0^(π/2) ∫0^3 (ρ^5 cos^2 φ + ρ^3 cos^3 φ) ρ^2 sin φ dρ dφ dθ

Integrating with respect to ρ, we get:

∫0^(2π) ∫0^(π/2) [ 1/6 ρ^6 cos^2 φ + 1/4 ρ^4 cos^3 φ ]_|ρ=0^3 sin φ dφ dθ

Simplifying and integrating with respect to φ, we get:

∫0^(2π) [ 9/5 sin^5 φ - 27/14 sin^7 φ ]_|φ=0^(π/2) dθ

Evaluating the limits, we get:

∫0^(2π) [ 9/5 - 27/14 ] dθ

Finally, evaluating the integral, we get:

∫0^(2π) [ 33/35 ] dθ = 66π/35

Therefore, the value of the integral after changing to spherical coordinates is 66π/35.

Answer:

The anwser I got was 59.7

Step-by-step explanation:

I am in 7th grade so I most likley got the wrong anwser but Multipled 3.98 by 15 and got 59.7

Answer: y+7=0 x(x-8)

Step-by-step explanation:

.

Yes, Ms. Ouzts will have enough to purchase the purse as $125 is greater than the total cost of the purse including tax, which is $108.50.

The sales tax in South Carolina is 8.5%, which means that the total cost of the purse including tax will be

= Cost of purse + Sales tax

Substitute the values in the equation

= $100 + (8.5% of $100) = $100 + $8.50 = $108.50

If Ms. Ouzts has $125 to spend on the purse, then she will have enough to purchase it because $125 is greater than $108.50.

In fact, she will have $125 - $108.50 = $16.50 left over after buying the purse.

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Answer:

2.7-3ft I think

Step-by-step explanation:

i use the internet

Answer:

36

Step-by-step explanation:

Let's call the # of boys and girls 5x and 3x respectively. We can write:

5x = 3x + 24

2x = 24

x = 12 so the # of girls = 12 * 3 = 36

Answer:

solution,

Let the number of girls be X

Number of boys be 'x+24'

Now,

\( \frac{x + 24}{x} = \frac{5}{3} \\ or \: 3(x + 24) = 5x \\ or \: 3x + 72 = 5x \\ or \: 3x - 5x = - 72 \\ or \: - 2x = - 72 \\ or \: x = \frac{ - 72}{ - 2} \\ x = 36\)

hope this helps..

Good luck on your assignment..

To compute the value of the test statistic, we can use the formula for the two-sample t-test. The formula for the test statistic is given by:

\(t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))\)

Where:

x1 = mean pulse rate for smokers

x2 = mean pulse rate for non-smokers

s1 = standard deviation of pulse rates for smokers

s2 = standard deviation of pulse rates for non-smokers

n1 = sample size of smokers

n2 = sample size of non-smokers

Given:

x1 = 84

x2 = 81

s1 = 9

s2 = 6

n1 = 73

n2 = 57

Substituting these values into the formula, we get:

\(t = (84 - 81) / sqrt((9^2 / 73) + (6^2 / 57))\)

Calculating this expression:

t = 3 / sqrt((81 / 73) + (36 / 57))

t ≈ 3 / sqrt(1.10958904 + 0.63157895)

t ≈ 3 / sqrt(1.74116899)

t ≈ 3 / 1.31822555

t ≈ 2.27306724

Rounding the test statistic to two decimal places, we have:

t ≈ 2.27

Therefore, the value of the test statistic is approximately 2.27.

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Answer:

maybe its 17 but I'm not expert

In an experimental study, random error due to individual differences can be reduced if a(n) control group is implemented.

One effective way to reduce random error due to individual differences in an experimental study is to include a control group. A control group serves as a baseline comparison group that does not receive the experimental treatment. By having a control group, researchers can isolate and measure the effects of the independent variable more accurately.

The control group provides a point of reference to assess the impact of individual differences on the study's outcome. Since both the experimental group and control group are subject to the same conditions, any observed differences can be attributed to the experimental treatment rather than individual variations.

This helps to minimize the influence of confounding variables and random error associated with individual differences.

By comparing the outcomes of the experimental group and control group, researchers can gain insights into the specific effects of the treatment while controlling for individual differences. This improves the internal validity of the study by reducing the potential bias introduced by individual variability.

In summary, including a control group in an experimental study helps to reduce random error due to individual differences by providing a comparison group that is not exposed to the experimental treatment. This allows researchers to isolate and measure the effects of the independent variable more accurately.

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Step-by-step explanation:

Since angles opposite congruent sides in a triangle are congruent, w=67.

Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46

The angle of depression for the zip rider is 76.21 degrees.

The angle of depression is the angle between the horizontal line and the line of sight to an object that is below the observer. In this case, the observer is the zip rider and the object is the point on the ground where the zip line ends.

We can use the cos function to find the angle of depression:

cos (angle of depression) = adjacent / hypotenuse

where:

the adjacent side is the vertical drop of 1291 ft and

the hypotenuse is the zip line of 5418 ft.

cos (angle of depression) = 1291 / 5418

angle of depression =  arc cos (1291 / 5418)

angle of depression = 76.21

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the number of cans that would be needed to cover the  pizza slice that is in form of a sector is 42 cans.

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

To calculate the number of cans that would be needed to cover the slice, we use the formula below

Formula:

Where:

Given:

Substitute these values into equation 1

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Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

The tοtal cοst fοr the grοup οf 7 friends tο gο tο the mοvie and buy snacks is $81.

The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.

Tο find the tοtal cοst, we need tο multiply the cοst οf οne ticket by the number οf tickets and add the cοst οf snacks:

Tοtal cοst = (Cοst per ticket) x (Number οf tickets) + (Cοst οf snacks)

We knοw that each ticket cοsts $9, and there are 7 friends gοing tο the mοvie.

Therefοre, the number οf tickets is 7.

Tοtal cοst = (9) x (7) + (18)

Tοtal cοst = 63 + 18

Tοtal cοst = 81

Hence, the tοtal cοst fοr the grοup οf 7 friends tο gο tο the mοvie and buy snacks is $81.

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Complete Question:

A group of 7 friends are going to a movie. Each ticket costs $9. They also spend $18 on snacks.

Estimate the total amount of money the group spent.

Choose 1 answer:

А

$37

$50

$90

$150

According to the question, the four consecutive numbers can be written as :

First = \(x\); Second = \(x+2\);  Third = \(x+4\); Fourth = \(x+6\)

As per the question, the final expression is :

\(2((x+2)+(x+4)) = 3(x)+32\)

\(4x+12 = 3x+32\)

\(x = 20\)

Therefore, the four values can be calculated by substituting the above value:

\(x=20; x+2=22; x+4=24; x+6=26\)

The four consecutive numbers are: \(20,22,24,26\)

Substitute the calculated values in the final expression, to check whether the answer is correct or not.

\(2(22+24) = 3(20)+32\)

\(92=92\)

Therefore, the calculated values are correct.

What are consecutive terms?

Consecutive terms are those terms which follow one sequential order.

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