Find the surface area of the box shown

Answer:

1/16

Step-by-step explanation:

The complete pattern will be;

⇒ 1, 5, 9, 13, 17

A process of combining or adding two or more numbers is called addition.

Given that;

The pattern is,

⇒ 1,__, 9, 13, __

Now,

Since, The pattern is,

⇒ 1,__, 9, 13, __

So, By adding 4 in previous number, we get the next number.

Hence, We get;

⇒ Second term = 1 + 4 = 5

⇒ Fifth term = 13 + 4 = 17

Thus, The pattern is,

⇒ 1, 5, 9, 13, 17

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This distribution of snowfall amounts is skewed to the right

Data is said to be skewed to the right or positively skewed, when the tail of the distribution extends more towards the right side of the data. This means that there are a few larger values or outliers that pull the mean or median towards the higher end of the scale, resulting in a longer tail on the right side of the distribution.

In a positively skewed distribution majority of the data is concentrated towards the lower values.

Considering the stemplot the majority of the data is in the lower values

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Answer:

to the second part

18.7 inches

Answer:

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28

Please brainlest!

Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Answer:

boom bam ba boom bam ba

Answer: -3/4

Step-by-step explanation:

The y value is decreasing by -0.75

-3.75 - 0.75 = -4.5

-4.5 - 0.75 = -5.25

-5.25 - 0.75 = -6

ect.

-0.75 in fraction form is -3/4

Answer:

.33

Step-by-step explanation:

when you put the zero's in the right places that's how you evaluate the correct answer

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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The possible numbers that Melody could have picked are -4 and 4.

The operation that prevents us from knowing with 100% certainty the number Melody had picked is multiplication which is implied by the phrase "double the number".

Given, Let x be the number Melody had chosen.

Thus, tripling the number will give 3x, and

squaring this will result to (3x)² which is equals to 9x².

Dividing the square of the number by 2 and subtracting 30 from its quotient will give 42:

9x²/2 ₋ 30 = 42

9x²/2 = 42 ₊ 30

9x²/2 = 72

9x² = 72 × 2

9x² = 144

x² = 144/9

x² = 16

x = ±√16

x = ±4

x = ₊4 or x = 4

hence melody could have picked ₊4 or ₋4 numbers.

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Answer: x=2

Step-by-step explanation:

x=z/4+7

x=z/4+3+4

x=(z/4+3)+4

x=-2+4

x=2

Answer:

I believe it is 24

Step-by-step explanation:

(2) (-3) (-4)

(-6) (-4)

24

The transformation that converts f(x) to g(x), f(x) is contraction by 5 units

Transformations are mathematical operations which change the shape and orientation of an object or function.

The types of transformations include

Since we have the graph of f(x) = -10(x - 2)² into the graph of g(x)= -2(x - 2)².

We see that f(x) = -10(x - 2)²

= 5 × -2(x - 2)²

= 5g(x)

Since f(x) = 5g(x)

⇒g(x) = f(x)/5

So, we converts f(x) to g(x), f(x) is contraction by 5 units

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Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Answer:

Step-by-step explanation:

12

It will take 21 minutes for there to be 180 grams of the element remaining.

The exponential decay formula to model the decay of the element is given:

m = \(m_0\) \((1 - r)^t\)

where,

m is the mass remaining at time t

\(m_0\) is the initial mass at time t=0

r is the decay rate per unit of time

t is the time elapsed since t = 0.

We have,

Initial mass = 990 grams  _____(1)

decay rate = 13.7% per minute _____(2)

Mass remaining = 180 grams _____(3)

Substituting (1), (2), and (3) in the formula.

180 = 990 x \((1- 0.137)^t\)

180/990 = \(0.863^t\)

Taking logs on both sides.

log(\(0.863^t\)) = log(180/990)

t x log(0.863) = log(180/990)

t = log(180/990) / log(0.863)

t = 20.5

Therefore,

It will take 21 minutes for there to be 180 grams of the element remaining.

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Answer:

Step-by-step explanation:

\(tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m\)

9514 1404 393

Answer:

  999 meters

Step-by-step explanation:

The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...

  Sin = Opposite/Hypotenuse

We want to find the hypotenuse, so we use the rearranged form ...

  hypotenuse = (mountain height)/sin(33°)

  lift length = (544 m)/sin(33°) ≈ 998.83 m

The length of the lift from bottom to top is about 999 meters.

Answer:

x= −  8 /13  = −1  8 /5  = −1.625

Step-by-step explanation:

either one is the answer

<3 Enjoy,

    Dea

Answer:

x=-1.625  Decimal form  

x= -13/8    Fraction form

Step-by-step explanation:

3(-2x-1)=2(x+5)

Use distributive property to solve-

-6x-3=2x+10

Now add like terms

-6x-3=2x+10

    +3       +3

   -6x=2x+13  (get the x by itself)

  -2x    -2x

-8x=13     Divide

x= -1.625   Decimal form

x=-13/8   Fraction form

Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.

Let's define the variables:

x = cost of the washer.

y = cost of the dryer.

We know that the cost combined is $1000, then:

x  + y = 1000

And the washer cost 3 times the cost of the dryer, then we will get:

x = 3y

So we have a system of equations, we can replace the second equation into the first one, so we will get:

3y + y = 1000

4y = 1000

y = 1000/4

y = 250

The cost of the washer is:

x = 3*250 = 750

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Answer:

A . x=13 is the solution of this question.

Answer:

x=3

Step-by-step explanation:

subtract 12 from both sides of the equation

x+12=25

x+12-12=25-12

then subtract the numbers

x=13

The true statement about the graphs:

Their slopes will be different from the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x).

The correct answer is an option (C)

First we draw a graph of function f(x) = -x + 3.

Find the graph in attached figure.

the x-intercept of f(x) is:

0 = -x + 3

i.e., x-intercept = (3, 0)

Then, three graphs of k(-x + 3) are drawn, for k = -1, -2, -3.

Let g(x) = -1(-x + 3)

The x-intercept of g(x) would be,

0 = -1(-x + 3)

i.e., x-intercept = (3, 0)

Let h(x) = -2(-x + 3)

The x-intercept of h(x) would be,

0 = -2(-x + 3)

2x = 6

i.e., x-intercept = (3, 0)

Let t(x) = -3(-x + 3)

The x-intercept of t(x) would be,

0 = -3(-x + 3)

3x = 9

i.e., x-intercept = (3, 0)

the graph of functions g(x), h(x) and t(x) is shown below.

We can observe that the x-intercept is same for all graphs but the slopes are different.

Therefore, the correct answer is an option (C)

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Answer:

Tangent ratio is the ratio of opposite side to adjacent side of a right triangle. Same as the sine and cosine ratios, tangent ratios can be used to calculate the angles and sides of right angle triangles.

Step-by-step explanation:

Answer:

3 x 10 is 30 I hope that helps lol

Answer:

x≤−1 or x≥1

Step-by-step explanation:

The problem provides the attendance numbers for four specific days of the Boxerville Carnival: Saturday (800 people), Sunday (650 people), Monday (250 people), and Tuesday (350 people). The question asks for the total number of people who attended the carnival on the weekend.

Given that the information about Saturday and Sunday attendance is provided, we have enough information to determine the total number of people who attended the carnival on the weekend. We can simply add the attendance numbers for Saturday and Sunday:

800 + 650 = 1450 people.

Therefore, the problem has sufficient information to calculate the total attendance on the weekend. It is not excessive or lacking in detail, allowing us to accurately find the desired answer.

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The large count condition is met because all expected counts are greater than 5.

Now to determine if the data provides convincing evidence that the two population proportions differ, we can conduct a hypothesis test.

Let p1 be the proportion of adults who exercise regularly and got sick in the past year, and p2 be the proportion of adults who do not exercise regularly and got sick in the past year.

The null hypothesis is that the two population proportions are equal: H0: p1 = p2

The alternative hypothesis is that the proportion of those who exercise regularly who got sick in the past year is smaller than the proportion of those who do not exercise regularly: Ha: p1 < p2

We can use a two-sample z-test for proportions to test this hypothesis. The test statistic is given by:

where p_hat is the pooled sample proportion:

p_hat = (x1 + x2) / (n1 + n2)

In this case, we have:

n1 = 50, x1 = 18, n2 = 75, x2 = 56

p_hat = (18 + 56) / (50 + 75) = 0.455

We can also calculate the expected counts using the formula provided:

n1p_hat = 500.455 = 22.75

n1*(1-p_hat) = 500.545 = 27.25

n2p_hat = 750.455 = 34.13

n2(1-p_hat) = 75*0.545 = 40.88

The large counts condition is met because all expected counts are greater than 5.

To calculate the test statistic, we have:

z = (0.18 - 0.747) / sqrt(0.592 * (1 - 0.592) * (1/50 + 1/75)) = -2.36

Using a standard normal table, we find the p-value to be 0.0091 for a one-tailed test. Since the p-value is less than 0.05, we reject the null hypothesis and conclude that there is convincing evidence that the proportion of those who exercise regularly who got sick in the past year is smaller than the proportion of those who do not exercise regularly.

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Answer:

The purchase value at the 30th percentile=34.24

Step-by-step explanation:

We are given that

Mean,\(\mu=41.34\)

Standard deviation,\(\sigma=13.54\)

We have to find the purchase value at the 30th percentile.

\(xth percentile =\mu+Z\times \sigma\)

Where Z is the critical value of x% confidence interval

x=30

Critical value of Z at 30% confidence interval=-0.5244

Using the formula

30th percentile=\(41.34+(-0.5244)(13.54)\)

30th percentile=\(41.34-7.100376\)

30th percentile\(\approx 34.24\)

Hence,  the purchase value at the 30th percentile=34.24

Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

The average rate of change of the function f(x) = x² on the interval [3, 3 + h] is given as follows:

h + 6.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

The function in this problem is given as follows:

f(x) = x².

Then the outputs are obtained as follows:

The change in the output is given as follows:

h² + 6h + 9 - 9 = h² + 6h.

The change in the input is given as follows:

3 + h - 3 = h.

Hence the rate is:

r = (h² + 6h)/h.

r = h(h + 6)/h

r = h + 6.

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Answer:

3 if 2d, 2 if 3D

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