What is the lateral surface area of the triangular prism shown below?

Answer:

In the triangle we are given Angle A,B andC

a) To find the value of x we will say

angle A + angle B + angle C = 180(sum of angles in triangle add up to 180)

35 + 52 + 3(x+2) = 180

87 + 3x + 6 = 180

3x + 93 = 180

3x = 180 - 93

3x = 87

x = 29

b) To find the measure for angle C we need to substitute the value of x

angle c = 3(x+2)

= 3(29+2)

= 3(31)

= 93

Answer:

Can u pls type the question in??

The null hypothesis in a two-tailed test states that there is no significant difference or relationship between two variables being compared.

In hypothesis, the invalid speculation is an assertion about the populace that expects there is no massive distinction or connection between two factors. In a two-followed test, the invalid speculation expresses that there is no distinction or connection between the two gatherings being looked at. The two-followed test is utilized when we are keen on testing whether the mean of an example is essentially not the same as the mean of a populace, without determining a course. For instance, a two-followed test might be utilized to test whether another drug affects pulse, without determining whether it will increment or lessening circulatory strain. The elective speculation in a two-followed test is that there is a huge contrast or connection between the two gatherings.

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A correlation coefficient based on the observational study cannot be used to support a claim of cause and effect. The correct answer is D: never.

Correlation does not imply causation, and while a strong correlation between two variables may suggest that there is a relationship between them, it does not prove that one variable causes the other. Observational studies are particularly susceptible to confounding variables, which can make it difficult or impossible to determine whether a relationship between two variables is causal or not.

To establish causality between two variables, a randomized controlled experiment is required. In a randomized controlled experiment, the experimenter can manipulate the independent variable and observe the effect on the dependent variable, while controlling for other variables that might affect the outcome. By randomly assigning subjects to different treatment groups, the experimenter can ensure that any differences in the outcome between groups are due to the treatment, rather than some other factor.

Therefore, while a correlation coefficient can be a useful tool for describing the relationship between two variables, it cannot be used to establish causality.

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The amount of money you have in your account after years 1, 2, 3, and 4 are $102.25, $204.5, $306.75 and $409 respectively.

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan.

Given that, you have 100 dollars in your bank account, and you earn 2.25% interest per year.

We need to find the amount of money you have in your account after years 1, 2, 3, and 4 years

Find for Simple interset :-

Simple interset = PRT / 100

P = Principal amount, r = rate and  t = year

For 1 year, put t = 1

A = 100×1×2.25 / 100 + 100

= $102.25

To find the amount for 2nd, 3rd and 4th year, just multiply these numbers to the interset earned in 1st year,

For 2 year,

A = $102.25×2

A = $204.5

For 3 year,

A = $102.25×3

A = $306.75

For 4 year,

A = $102.25×4

A = $409

Hence, the amount of money you have in your account after years 1, 2, 3, and 4 are $102.25, $204.5, $306.75 and $409 respectively.

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The complete expression that gives equivalent values is:

x⁻⁸ . x⁹ = x⁻⁶ . x⁷ = x⁻⁴ . x⁵ = x¹ = x⁻² . x³

From the question, we have the following parameters that can be used in our computation:

x⁻ . x = x⁻ . x = x⁻ . x = x = x⁻ . x

Where the exponents are blank

There is no general answer to this, and one of the possible solutions is as follows:

To start with, we create an expression of the following format:

x⁻ⁿ . xⁿ⁺¹ = x¹

Using the above as a guide, we have the following:

x⁻⁸ . x⁹ = x¹

x⁻⁶ . x⁷ = x¹

x⁻⁴ . x⁵ = x¹

x⁻² . x³ = x¹

So, the equivalent expression is x⁻⁸ . x⁹ = x⁻⁶ . x⁷ = x⁻⁴ . x⁵ = x¹ = x⁻² . x³

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Answer:

see explanation

Step-by-step explanation:

the inscribed angle ADB is half the arc that subtends it , AB , then

AB = 2 × ∠ ADB = 2 × 46° = 92°

the central angle BOC is equal to the arc that subtends it, BC , so

BC = 22°

Then

ABC = AB + BC = 92° + 22° = 114°

-----------------------------------------------------

BD is a diameter of the circle , so BAD = 180° THEN

AD = 180° - AB = 180° - 92° = 88°

-----------------------------------------------------

the sum of the arcs on a circle = 360° , so

ADC = 360° - ABC = 360° - 114° = 246°

Answer:

8x8 > 9x7 (64 > 63)

Step-by-step explanation:

(1) As a result, the Monitor costs $275 to buy online. (2) There is a 20% price disparity between the two retailers.

10,000 pairs of shoes are ordered by Shoes Unlimited from an overseas vendor. This entails the business issuing a purchase requisition, which serves as a formal promise to buy the specified kind and number of shoes.

(a) To find the price of the TV when purchased online, we can add 25% markup to the manufacturer's price of $220:

Price online = $220 + (0.25 * $220)

Price online = $220 + $55

Price online = $275

So the price of the TV when purchased online is $275.

To find the price of the TV when purchased at the superstore, we can add 45% markup to the manufacturer's price of $220:

Price at superstore = $220 + (0.45 * $220)

Price at superstore = $220 + $99

Price at superstore = $319

So the price of the TV when purchased at the superstore is $319.

(b) The difference between the prices in part (a) is:

Price at superstore - Price online = $319 - $275 = $44

The difference in markup between the two stores is:

Markup at superstore - Markup online = 45% - 25% = 20%

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Answer:

b = 50°

c = 130°

Step-by-step explanation:

B

Vertical angles are congruent (have the same measurement)

C

Adjacent angles ae supplemental (add to 180°)

Answer:

b = 50°

c = 130°

Step-by-step explanation:

The number of fiction books is given as follows:

58 fiction books.

The number of fiction books is obtained applying the proportions in the context of the problem.

The total number of books is of 580, while the percentage of fiction books is of 10%. Hence the number of fiction books is obtained as follows:

0.1 x 580 = 58 fiction books.

The percentage of fiction books is of 10%.

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Answer:

1. No

2. Yes

3. No

Step-by-step explanation:

1.

We know that c = 7, so we plug it in to prove if the equation is true.

[tex]7+8=15[/tex]

The variable is not a solution.

2.

We know a = 30, so we plug it in to prove if the equation is true.

[tex]30-4=26[/tex]

The variable is a solution.

3.

We know y = 4.1, so we plug it in to prove if the equation is true.

[tex]12.6-4.1=8.5[/tex]

The variable is not a solution.

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

The point-slope form of an equation of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line

m is the slope of the line.

We can use the given point (−5,−2) as (x1,y1)

Choose any value for the slope m to write the equation of the line in point-slope form.

For example:

Option 1:

Let's choose the slope m to be 2.

Then the equation of the line becomes:

y - (-2) = 2(x - (-5))

Simplifying the equation:

y + 2 = 2(x + 5)

Option 2:

Let's choose the slope m to be -3.

Then the equation of the line becomes:

y - (-2) = -3(x - (-5))

Simplifying the equation:

y + 2 = -3(x + 5)

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

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The expression "e to the pi" refers to the mathematical constant e raised to the power of the mathematical constant pi (approximately 2.71828). (approximately 3.14159).

As, the exact value is an irrational number that cannot be expressed as a finite decimal or fraction, the value of e to the pi is approximately 23.14069.

The combination of e and pi is a well-known mathematical expression that can be seen in a variety of areas of mathematics, including calculus, number theory, and complex analysis.

Mathematicians are particularly interested in e to the pi because it is a transcendental number (a number that is not the root of any non-zero polynomial with rational coefficients).

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An online calculator for Rand McNally mileage is a tool that allows you to calculate the distance and travel time between two locations based on the Rand McNally Road Atlas.

An online calculator for Rand McNally mileage typically requires you to input the starting location and the destination and then provides an estimated distance and travel time based on data from the Rand McNally Road Atlas. Some calculators also allow you to adjust for factors such as traffic, tolls, and fuel consumption.

This type of calculator can be useful for planning road trips, estimating travel costs, and optimizing travel routes. It is often used by trucking companies, delivery services, and other businesses that rely on accurate mileage and travel time information.

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Answer:

31.08 billion

Step-by-step explanation:

If the shoe sales for a certain company were 25.9 billion, and the sales are projected to increase by 20%, we can calculate the projected amount by adding the increase to the original sales:

Projected sales = Original sales + (Increase percentage × Original sales)

Plugging in the values we have:

Projected sales = 25.9 billion + (0.20 × 25.9 billion)

Projected sales = 25.9 billion + 5.18 billion

Projected sales = 31.08 billion

Therefore, the projected amount of shoe sales for the company is 31.08 billion.

Answer:

y = 22x - 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 22 , then

y = 22x + c ← is the partial equation

to find c substitute (1, 2 ) into the partial equation

2 = 22(1) + c = 22 + c ( subtract 22 from both sides )

- 20 = c

y = 22x - 20 ← equation of line

An outlier is an extreme value that is significantly different from other values in a dataset.

A histogram is a graphical representation of the distribution of numerical data. It is a type of bar chart that displays the frequency of values in a dataset by dividing the range of values into intervals, or bins, and counting the number of values that fall into each bin. The bins are usually consecutive and non-overlapping intervals of a variable, such as time, temperature, weight, or height. To create a histogram, we first divide the range of values into a set of bins or intervals. Then, we count the number of data points that fall into each bin and plot a bar for each bin, where the height of the bar represents the frequency or count of data points in that bin. The bars in a histogram are typically drawn adjacent to each other, without gaps, to emphasize the continuity of the data.

Here,

It is typically defined as a value that is located far away from the other values, either above or below the typical range of values. Outliers can arise from various causes, such as measurement errors, data entry errors, or real differences in the underlying population.

Therefore, the correct options for this multiple select question are:

An extreme value that might have arisen from a different cause.

An extreme value that might have arisen from measurement error.

An extreme value that is located in the tail of the histogram.

The first option is correct because outliers may arise from different causes such as changes in the underlying population or errors in the data collection process.

The second option is also correct because outliers may arise due to errors in measurement, such as recording a value that is too high or too low, or a malfunctioning instrument.

The fourth option is not necessarily correct because an outlier may or may not be located in the tail of a histogram. A histogram is a graphical representation of the distribution of data, and outliers can appear anywhere in the distribution, not just in the tail.

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The image of the transformation is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The figure

From the figure, we can see that

The horizontal line is the axis of rotation

Using the above as a guide, we have the following:

The image of the transformation would be a reflection of the original figure on the other axis

See attachment for the image of the transformation

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Answer:
Unit Rate: $10/km

Equation: x=y/10 or y=10x

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

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Answer:

Exponential decay by 9% each cycle (n).

Step-by-step explanation:

The function y = 51(0.91)^n is an exponential decay function.  The term (0.91) is less than 1, so when multiplied by anything, the result will be less than the original number, by 9% [(100-91)/100].  The power n, represents the number of cycles (e.g., days, minutes, years, seconds, etc.).  Each succeeding cycle reduces the previous number by the same amount of (0.91).  

See the attached graph.

The sides that cannont be the sides of a triangle are the ones in option B.

2cm, 6cm, 4cm

If A, B, and C are the sides of a triangle, then the triangular inequality says that:

A + B > C

A + C > B

C + B > A

So, any set of 3 sides where the sum of two of the sides is smaller than the other side cannot be the sides of a  triangle.

Then the correct option will be b:

2cm, 4cm, 6cm

If we add the two shorter ones we will get:

2cm + 4cm = 6cm

And that is not larger than the other side, so it isthe correct option.

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Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.To solve this problem, we can use the formula for compound interest:

[tex]$$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$[/tex]

where A is the amount after t years, P is the principal (the amount deposited), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have:

A = $13,299.23

r = 0.08 (8%)

n = 4 (quarterly compounding)

t = 5 years

We can rearrange the formula to solve for P:

[tex]P = \frac{A}{(1 + \frac{r}{n})^(nt) }[/tex]

Plugging in the values, we get:

[tex]P = \frac{ $13,299.23}{(1 + \frac{0.08}{4} ) ^ {(4*5)} }[/tex]

P ≈ $8,000.32

Therefore, Henry had deposited approximately $8,000.32 if he received $13,299.23 after 5 years. Rounded to the nearest dollar, the answer is $8,000.

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So the length of the path along the longest side of the park would be 35 yds.

The three sides of a triangle, a three-sided polygon in geometry, are made up of three edges and three vertices. A triangle's most important property is that its internal angles can all be added up to 180 degrees.

The area of a right triangle is given by the formula A = (1/2) * b * h, where b and h are the lengths of the legs of the triangle. Since one of the legs of the park is 21 yds and the area is 294 yd², we can solve for the length of the other leg:

A = (1/2) * b * h

294 = (1/2) * 21 * h

h = (2 * 294) / 21

h = 28

So the length of the other leg of the triangle is 28 yds.

To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the length of the hypotenuse:

c² = a² + b²

Plugging in the values we have, we get:

c² = 21² + 28²

c² = 441 + 784

c² = 1225

c = 35

So the length of the path along the longest side of the park would be 35 yds.

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The measure of the arc ADB is 253 degrees. This means that the correct option is option C.

In the given diagram, we can clearly see that -

Using the rules of symmetry, we can conclude that,

∠AOD = ∠BOC

and similarly,

∠AOB = ∠DOC

Also since we know that -

∠AOD+∠DOC=180°

We can write - 2∠AOD+2∠DOC=360°

In the question here, it is given that the angle ∠AOD=73°

So, using the value of the angle AOD, we can calculate that -

= 2(73°) + 2∠DOC=360°

= 146° + 2∠DOC=360°

= 2∠DOC=360°-146°

= 2∠DOC=214°

= ∠DOC=107°

And

∠ADB=2∠A0D+∠DOC

=∠ADB=146°+107°

=∠ADB=253°

Hence, option C is the correct option.

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Answer: the answer is C 253°

Step-by-step explanation: see below.

Answer:

The exponential model that represents the population y of the city t years after 2014 is y = 471,000 * 1.04^t.

The estimated population in 2020 is about 591,000.

The required height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).

In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.

Here,
We can use the Pythagorean theorem to solve this problem. Let's call the height of the loading dock "h". The ramp, the distance from the edge of the loading dock to the end of the ramp, and the height of the loading dock form a right triangle. The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the ramp in this case) is equal to the sum of the squares of the other two sides (the height and the distance from the edge of the loading dock to the end of the ramp).

In this case, we can write:

16² = h² + 14²

256 = h² + 196

60 = h²

Taking the square root of both sides, we get:

h = √60

h ≈ 7.746

Therefore, the height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).

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A 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0. This implies that the system is inconsistent.

The goal of pivoting is to turn a leading one into a zero for an element that is above or below it.

A matrix's left-hand side element is referred to as the "pivot" or "pivot element" when you wish the components above and below it to be 0.

This element usually has a value of 1.

If and only if the echlon form of the augmented matrix designating the linear system of equations contains no row of the type, then the linear system is said to be consistent.

Given that, a 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0.

This implies that the system is inconsistent.

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The area of the path is 256 square feet.

What is the area of rectangle?

The area of a rectangle is given by the formula:

Area = length x width

where "length" and "width" are the dimensions of the rectangle. To find the area of a rectangle, simply multiply the length by the width.

To find the area of the path surrounding the rectangular garden, we need to subtract the area of the garden from the area of the larger rectangle that includes the path. The larger rectangle measures 25 feet by 43 feet.

Area of the larger rectangle = 25 ft * 43 ft = 1075 sq ft

Area of the garden = 21 ft * 39 ft = 819 sq ft

So, the area of the path surrounding the garden is:

Area of the larger rectangle - Area of the garden = 1075 sq ft - 819 sq ft = 256 sq ft

Hence, the area of the path is 256 square feet.

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