What is the surface area of this right rectangular prism?

Enter your answer as a mixed number in simplest form by filling in the boxes.

The better deal if a customer plans to ride for 2.5hrs is rough riders.

let

Happy Trails Ranch:

25 + 8.50x

Rough Riders:

20.75 + 9.75x

Happy Trails Ranch:

25 + 8.50x

= 25 + 8.50(2.5)

= 25 + 21.25

= $46.25

Rough Riders:

20.75 + 9.75x

= 20.75 + 9.75(2.5)

= 20.75 + 24.375

= $45.125

The better deal is rough riders

Equate Happy trails and rough riders

25 + 8.50x = 20.75 + 9.75x

25 - 20.75 = 9.75x - 8.50x

4.25 = 1.25x

x = 4.25 / 1.25

x = 3.4 hours

25 + 8.50x = 20.75 + 9.75x

5(5 + 1.7x) = 5(4.15 + 1.95x)

The number of solutions to 25 + 8.50x = 5(5 + 1.7x) is

25 + 8.50x = 5(5 + 1.7x)

25 + 8.50x = 25 + 8.50x

25 - 25 = 8.50x - 8.50x

0 = 0

If Tina started riding at noon at Happy trails for 3.4 hours, at what time did she finish her ride?

Noon = 12:00

Add 3.4 hours

= 12:00 + 3.4

= 03:24 pm

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Answer:

Sorry dud it been long time I've not answered 0ne

Answer:

Heyy

Step-by-step explanation:

Did ya get the answer ???

the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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Answer:

Step-by-step explanation:

Use formula:

Find the value:

Answer:

I have a screenshot so here you go

Step-by-step explanation:

7:56

Figure out what 7/3 is so you can multiply 24 by that number. Is is 2 1/3 so when you multiply 2 1/3 by 24 it gets you to 56 so the proportion is 7:56

Answer:

Since there's only one option that's wrong,

The y-intercept is (0,6)

The x-intercept is (3,0)

the correct graph is the one where the line goes through these two points.

Step-by-step explanation:

graphing calculator

Answer:

The perimeter is 37 inches (3 ft. 1 in.)

Step-by-step explanation:

24 + 13 = 37

12 x 2 = 24

6.5 x 2 = 13

Answer:

3c+3

2c+c+3

Step-by-step explanation:

Got it mostly wrong bec of bad setup

Answer:

r = dx - de

Step-by-step explanation:

x = e + r/d

x - e = r/d

d (x - e) = r

dx- de = r

r = dx - de

The solution of the equation, 2cscx+17=15+cscx on the interval  [0, 2π) will be7π/6 and 11π/6.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that,

2cscx+17=15+cscx

The interval is [0,2

The solution of the equation 2cosec x+17 = 15+cosec x is 7π/6 and 11π/6.

⇒ 2csc x + 17 = 15 + csc x

⇒ 2csc x - csc x = 15 - 17

⇒ csc x = -2

As we  know,

csc x = 1/sinx

⇒ 1/sinx = -2

⇒  sinx = -1/2

⇒sin 30° = 1/2

As the value of sinx is negative, the x will be in the 3rd and 4th quadrants.

The values in the 3rd quadrant are,

= 180° + 30°

= 210°

The value in the 4th quadrant is,

= 360° - 30°

= 330°

As a result, the obtained value of x is,

x = 210°

x = 210 × π/180

x  = 7π/6

x = 330°

x= 330 × π/180

x= 11π/6

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Answer:

44

Step-by-step explanation:

i done this

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960

Answer:

see explanation

Step-by-step explanation:

(a)

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7 , then

sum = 180° × (7 - 2) = 180° × 5 = 900°

(b)

since the polygon is regular then the 7 interior angles are congruent

each interior angle = 900° ÷ 7 ≈ 128.6° ( to 1 decimal place )

(c)

the sum of the exterior angles of a polygon is 360°

since the polygon is regular then the 7 exterior angles are congruent

each exterior angle = 360° ÷ 7 ≈ 51.4° ( to 1 decimal place )

Answer:

a) 900°

b) ≈ 128,6°

c) ≈ 51,4°

Step-by-step explanation:

a) s = (n - 2) × 180°

n - the number of sides (in this case, it's 7)

s - the sum of interior angles

s = (7 - 2) × 180° = 5 × 180° = 900°

.

b) In order to find the size of each angle, we have to divide the sum by the number of sides:

900° / 7 ≈ 128,6°

.

c) Since the sum of exterior angles of a polygon is 360°, we can find the size of one exterior angle by dividing this sum by the number of sides:

360° / 7 ≈ 51,4°

a) The predictor variable is Drop in units of feet and the response variable is duration in units of seconds.

b) The units of the slope is seconds per foot.

c) The slope is probably negative because a taller drop height typically leads to a longer ride duration.

a) The predictor variable in this regression is Drop, which represents the drop height in feet of the roller coasters, and its units are feet. The response variable is Duration, which represents the duration of the ride in seconds, and its units are seconds.

b) The units of the slope in this regression are seconds per foot. This means that for every one unit increase in the drop height in feet, the duration of the ride increases or decreases by the value of the slope, measured in seconds per foot.

c) The slope is probably negative because a taller drop height typically leads to a longer ride duration, and the Tower of Terror coaster, with its unusually short duration despite a large drop height, has been removed from the analysis.

Therefore, the remaining 90 coasters in the dataset would likely exhibit a negative relationship between drop height and duration, meaning that as the drop height increases, the duration of the ride decreases.

The low R-squared value of 29.4% suggests that there is a lot of variability in the relationship between drop height and ride duration among the roller coasters in the dataset, but the negative slope indicates a generally decreasing trend.

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Answer:

I dont know. sorry sorry

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

Answer:

  \(\textbf{D. }\overrightarrow{BA}\)

Step-by-step explanation:

The end point of a ray is named first. The name of another point on the ray completes the ray name. Any arrow over the name will be single ended, with its tail over the name of the endpoint.

A ray with endpoint B will be B[something] with an over-arrow pointing to the right:

  \(\overrightarrow{BA}\)

Answer:

Function I think?

Step-by-step explanation:

The test statistic (-2.490) falls in the rejection region (outside the critical value range), we reject the null hypothesis.

To conduct the hypothesis test, we need to set up the null and alternative hypotheses:

Null hypothesis (H₀): The percentage of Florida homeowners with flood insurance is 52% (p = 0.52).

Alternative hypothesis (H₁): The percentage of Florida homeowners with flood insurance is different from 52% (p ≠ 0.52).

Next, we calculate the test statistic, which follows an approximately normal distribution when the sample size is large. In this case, the sample size is 500, which meets the condition.

The test statistic (z-score) can be calculated using the formula:

z = (p - p₀) / √(p₀(1 - p₀) / n)

where p is the sample proportion, p₀ is the hypothesized proportion, and n is the sample size.

In this case, p = 233/500 = 0.466, p₀ = 0.52, and n = 500. Substituting these values into the formula, we can calculate the test statistic.

z = (0.466 - 0.52) / √(0.52(1 - 0.52) / 500)

z = -0.054 / √(0.52(0.48) / 500)

z ≈ -0.054 / 0.0217

z ≈ -2.490

The next step is to determine the critical value for the given significance level.

Since the alternative hypothesis is two-sided (p ≠ 0.52), we need to divide the significance level (α = 0.10) by 2 to account for both tails of the distribution.

Thus, the critical value is obtained from the standard normal distribution table as zₐ/₂ = z₀.₀₅ = ±1.645.

At the 0.10 significance level, there is sufficient evidence to support the claim that the percentage of Florida homeowners with flood insurance is different from 52%.

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Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

A dilation is a type of transformation that enlarges or reduces a figure to create a new figure,  If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement

The finite population correction factor is used in computing the standard error of the sample mean when the sample size is smaller than 5% of the population size.

The finite population correction factor is a adjustment made to the standard error of the sample mean when the sample is taken from a finite population, rather than an infinite population.

It accounts for the fact that sampling without replacement affects the variability of the sample mean.

When the sample size is relatively large compared to the population size (more than half), the effect of sampling without replacement becomes negligible, and the finite population correction factor is not necessary.

In this case, the standard error of the sample mean can be estimated using the formula for sampling with replacement.

On the other hand, when the sample size is small relative to the population size (less than 5%), the effect of sampling without replacement becomes more pronounced, and the finite population correction factor should be applied.

This correction adjusts the standard error to account for the finite population size and provides a more accurate estimate of the variability of the sample mean.

Therefore, the correct answer is option 2: the finite population correction factor is used when the sample size is smaller than 5% of the population size.

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Answer:

Step-by-step explanation:

C=2πr

C=2×π×(1.5)

C=3π

But=22/7

Therefore C=3×22/7

C=9.43

Answer:

x = -1

y = -8

Step-by-step explanation:

if y=10x+2 then we can substitute that expression in for 'y' in the second equation to solve for 'x':

-5x + 4(10x+2) = -27

-5x + 40x + 8 = -27

35x + 8 = -27

35x = -35

x = -1

now solve for 'y':

y = 10(-1) + 2

y = -10 + 2

y = -8

It's important to double-check the signs and calculations during multiplication to ensure accuracy and avoid such errors.

If Alex found the opposite of the correct product, it means they obtained a negative value instead of the positive value that was expected. This type of error could arise due to various reasons, such as:

Sign error during multiplication, Alex might have made a mistake while multiplying two numbers, incorrectly applying the rules for multiplying positive and negative values.

Input error, Alex might have mistakenly used negative values as inputs when performing the multiplication. This could happen if there was a misinterpretation of the given numbers or if negative signs were overlooked.

Calculation mistake, Alex could have made a calculation error during the multiplication process, such as errors in carrying over digits, using incorrect intermediate results, or incorrectly multiplying specific digits.

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Answer:

\(\dfrac{3x-1}{2x^2-3x}\)

Step-by-step explanation:

Given rational expression:

\(\dfrac{x^{-1}+3x-4}{2x^2-5x+3}\)

First, we need to eliminate the negative exponent in the numerator.

To do this, multiply the numerator by x / x:

\(\begin{aligned}(x^{-1}+3x-4) \cdot \dfrac{x}{x}&=\dfrac{ x^{-1}\cdot x+3x\cdot x-4 \cdot x}{x}\\\\&=\dfrac{1+3x^2-4x}{x}\end{aligned}\)

Therefore:

\(\dfrac{x^{-1}+3x-4}{2x^2-5x+3}=\dfrac{\frac{1+3x^2-4x}{x}}{2x^2-5x+3}\)

\(\textsf{Apply\:the\:fraction\:rule:}\:\dfrac{\frac{a}{b}}{c}=\dfrac{a}{b\cdot \:c}\)

                       \(=\dfrac{1+3x^2-4x}{x\cdot (2x^2-5x+3)}\)

                       \(=\dfrac{3x^2-4x+1}{x(2x^2-5x+3)}\)

Factor the quadratics in the numerator and the denominator:

\(\begin{aligned}\textsf{Numerator:}\quad 3x^2-4x+1&=3x^2-3x-x+1\\&=3x(x-1)-1(x-1)\\&=(3x-1)(x-1)\end{aligned}\)

\(\begin{aligned}\textsf{Denominator:}\quad 2x^2-5x+3&=2x^2-2x-3x+3\\&=2x(x-1)-3(x-1)\\&=(2x-3)(x-1)\end{aligned}\)

Therefore:

\(\dfrac{x^{-1}+3x-4}{2x^2-5x+3}=\dfrac{(3x-1)(x-1)}{x(2x-3)(x-1)}\)

Factor out the common term (x - 1):

                      \(=\dfrac{3x-1}{x(2x-3)}\)

Simplify the denominator:

                      \(=\dfrac{3x-1}{2x^2-3x}\)

Therefore:

\(\dfrac{x^{-1}+3x-4}{2x^2-5x+3}=\boxed{\dfrac{3x-1}{2x^2-3x}}\)

Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.

Hour:

A unit of time equal to one of 24 equal divisions of a day; 60 minutes

Given that:

S+ D+ K = 135

K= S+ 25

D= S- 10

Now,

S+ (S-10)+ (S+25) = 135

⇒ S+ S-25+ S+10 = 135

⇒ 3S - 15 = 135

⇒ 3S = 150

⇒ S = 165/3 = 50

Now,

If S = 50 hours

Then,

K = 50+ 25 = 75 hours

and

D = 55 - 10 = 45 hours

Therefore, Sarah had worked for 50 hours, Kate had worked for 75 hours and Dave had worked for 45 hours.

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