Direction:Look at the expression and equations below wright "ex" if it is an expression and wright "eq" if it is an equation .Perform this on a sheet of paper

___1. 9+ c
___2. 15 (6-2) = 60
___3. (3 x 2) + b
___4. (3 x a x b) = 27
___5. (8 + 3) - 5
___6. (5 x 7) - 13
___7. 6 x 5 = 30
___8. (b x 5) -10 = 30
___9. 93 - (d x e)
___10. 75 - n = 3 ​

The length of the ladder is approximately 3 m. The correct option is the first option 3

From the question, we are to calculate the length of the ladder.

From the given information,

The ladder makes an angle 20° with the ground

and

The foot of the ladder is 3 m from the wall

This scenario gives a right triangle where the hypotenuse is the ladder and the adjacent is the distance of the foot of the ladder from the wall.

Let the length of the ladder be x

Thus,

Using SOH CAH TOA

We can write that

cos 20° = 3 / x

x = 3/(cos 20°)

x = 3.19

x ≈ 3 m
Hence, the length is approximately 3 m

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The correct answers are: The test is statistically significant. We have observed something unusual if the null hypothesis is true. The other statements are not necessarily true on the given p-value of 1.5%.

Based on the information provided, we can determine the following:

The test is statistically significant: A p-value of 1.5% indicates that the observed result is unlikely to have occurred by chance, given the null hypothesis.

We have observed something unusual if the null hypothesis is true: A small p-value suggests that the observed data is unlikely to be a result of random chance, which implies that the data is unusual if the null hypothesis is true.

The null hypothesis is not necessarily false: The p-value alone does not provide direct information about the truth or falsehood of the null hypothesis. It only indicates the level of evidence against the null hypothesis.

The alternative hypothesis is not necessarily true: Similarly, the p-value does not provide evidence for the alternative hypothesis being true. It only indicates the strength of evidence against the null hypothesis.

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Answer:

x=25

Step-by-step explanation:

Hope it right

In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.

Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.

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Answer:

so the answer could either be

Yes. as elevation increases, the temp decreases

but..

there is also no trend coz the points are scattered i.e the temp

as the elevation is increasing the temp does vary.

so My final answer would be no, there is not a trend

Answer:

x=35

Step-by-step explanation:

A pentagon's sum of interior angles is 540 degrees.

Now, we can set up an equation.

(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540

Combine similar terms

16x - 20 = 540

16x = 560

x = 35

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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Answer:

100 degrees

Step-by-step explanation:

all angles in a triangle add up to 180 degrees, so,

45+35=80

180-80=100

hope this helps!!!

To find the elasticity of demand at a price of $14, we first need to calculate the derivative of the demand function with respect to price:

D'(p) = -3/2√(125-3p)

Then, we can plug in the price of $14 to get:

D'(14) = -3/2√(83)

Next, we need to calculate the demand at the given price:

D(14) = √(125-3(14)) = √(83)

Finally, we can use the formula for elasticity of demand:

E = (p/D) * D'(p)

Where p is the price and D is the demand. Plugging in the values we have calculated, we get:

E = (14/√83) * (-3/2√83) = -21/83

Since the elasticity of demand is negative, we can say that the demand is price inelastic at a price of $14. This means that a change in price will have a relatively small impact on the quantity demanded.
To find the price elasticity of demand, we need to use the formula:

Elasticity of Demand (E) = (% change in quantity demanded) / (% change in price)

For the given demand function D(p) = √(125 - 3p), first we need to find the quantity demanded at the price of $14.

D(14) = √(125 - 3 * 14) = √(125 - 42) = √83

Now we need to find the derivative of the demand function with respect to price (dD/dp):

dD/dp = (1/2) * (125 - 3p)^(-1/2) * (-3)

Next, we will calculate dD/dp at the price of $14:

dD/dp(14) = (1/2) * (83)^(-1/2) * (-3) ≈ -0.165

Now we can calculate the elasticity of demand (E):

E = (dD/dp * p) / D(p) = (-0.165 * 14) / √83 ≈ -0.32

Since the value of the elasticity of demand is -0.32, we would say the demand is inelastic at the price of $14.

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The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

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Answer:

15 square meters

Step-by-step explanation:

when it says find the area you have to add all the lengths together

Answer:

3 pizzas are cut into 6 slices = 18 slices

6 pizzas are cut into 7 slices = 42 slices

18+ 42 = 60 slices

Step-by-step explanation:

She can cut the pizza into 6,7,8 pieces so

LCM of 6,7,8 = 168

Factors of 6 = 2*3

Factors of 7 = 7*1

Factors of 8 = 2*2*2

Common Factors = 2*3*7*2*2= 8*3*7= 24*7= 168

Now finding

No of pizza with 6 slices = 168/ 8*7= 168/56= 3

If she cuts 3 pizza with 6 shares it would give 18 slices .

We need 60 total slices so 60-18 = 42

If we divide 42 by 7 we will get 6 pizza which we are left with as out of ten 1 is burned and 3 have been divided into 6 slices.

We do not need any 8 slices pizza.

The population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75.

To test whether we can infer at the 5% significance level that the mean fee for car washers (including tips) is greater than $12.5, we need to perform a one-sample t-test with the following hypotheses:

Null hypothesis: μ ≤ $12.5

Alternative hypothesis: μ > $12.5

We will use a t-distribution with degrees of freedom (df) equal to n-1 = 15-1 = 14.

The test statistic is given by:

t = (x - μ) / (s / sqrt(n))

where x is the sample mean, s is the sample standard deviation, and n is the sample size.

Substituting the given values, we get:

t = (14.9 - 12.5) / (6.75 / sqrt(15)) = 2.28

The critical value for a one-tailed test with α = 0.05 and df = 14 is 1.761. Since our calculated t-value (2.28) is greater than the critical value (1.761), we reject the null hypothesis and conclude that we can infer at the 5% significance level that the mean fee for car washers (including tips) is greater than $12.5.

To test whether we can infer at the 5% significance level that the population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75, we need to perform a z-test with the following hypotheses:

Null hypothesis: μ ≤ $12.5

Alternative hypothesis: μ > $12.5

We will use a standard normal distribution.

The test statistic is given by:

z = (x - μ) / (σ / sqrt(n))

where σ is the population standard deviation, which is given as 6.75.

Substituting the given values, we get:

z = (14.9 - 12.5) / (6.75 / sqrt(15)) = 2.28

The critical value for a one-tailed test with α = 0.05 is 1.645. Since our calculated z-value (2.28) is greater than the critical value (1.645), we reject the null hypothesis and conclude that we can infer at the 5% significance level that the population mean is greater than $12.5, assuming that we know the population standard deviation is equal to 6.75.

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Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

-4 would by your y-intercept (where the line crosses the x-axis)

With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

Answer:

hope this helps

Step-by-step explanation:

The stretch of an exponential decay function is y = 2(1/5)ˣ

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

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

The values of the side and the angle in the two triangles are: 2.2cm and 80.7⁰ respectively

to find the value of the length AC in the first triangle, we make use of the sine rule that states that

Ac/sin B = BC/sin A

By substitution in the formula

Ac/sin72 = 3.7/sin26

AC Sin = 3.7* sin Sin72

AC = (3.7 * 0.9511)/0.4384

AC = 2.2 cm

Also, To find the angle PRQ, we still make use of the sine rule that states that

Sin72/8  = Sin P / 8.3

this implies that 8*sinP = 8.3 * Sin72

Sin P = (8.3 * 0.9511)/8

Sin P = 0.9868

Making P the subject of the relation we have

P = Sin⁻¹0.9868

Therefore the angle PRQ = 80.7⁰

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76 yd

This is very simple

Perimeter is the sum of all the outer sides

22yd + 22yd + 16yd +16yd

This will give you

76yd

Answer: 76

Step-by-step explanation: Perimeter is 2(length +breadth)

2(22+16)

Answer:what are the answer choices

Step-by-step explanation:

Answer:

Point A = (0,1)  Point B = (1,2)  Point C = (2,4)

Step-by-step explanation:

To find a point's "ordered pair" (x and y coordinates), consider each line a single digit unless the problem states/shows otherwise (ex. if the lines were evidently counting by 2's). Here, we can see each line represents a single digit. First count how many lines to the left/right of the y axis the point is (this will be your x point - ex. point B in this problem has an x valued at 1 because the point was one line to the right of the bold vertical line in the middle (the y axis). If the point is to the left, it is a negative x value, right would be positive, and if the point is on the y axis line. x is 0. You are essentially counting how far along the x axis the point is. Same applies to the y values, given you do the opposite and count how far from the x axis (horizontal bold line) the point is. Above that line is positive, below is negative, and again, if the point is on the x axis (bold horizontal line), the y value is 0. Then simply fill your values in in their corresponding places in the brackets: (x,y).

Hope this helps :) I know math can be especially hard to grasp so it's always okay to ask for help/explanation.

The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

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Answer:

Opposite angles are equal

3x + 30 =162

-30

3x=132

÷3

x=44

3x44+30=162

Answer: 44

When two straight lines intersect, the opposite angles are equal... So we can create a formula with this that:

3x + 30 = 162      ( solve for x )

3x = 162 - 30

x = 132/3

x = 44

So the value of x is 44!

Brainliest please if I could make it clear for you! <3

The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways

To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.

First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.

Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.

The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.

Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:

(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)

Simplifying this expression gives a total of 15,946 ways.

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Answer:

y=\(\frac{24-17t}{3h}\)

Step-by-step explanation:

Hi there!

We are given the formula 17t+3hy=24

We want to make y the subject of the formula, which also means that we want to solve the equation for y

To do that, we'll need to isolate y on one side, much like solving for an equation with real numbers.

Let's first subtract 17t from both sides.

17t+3hy=24

-17t         -17t

___________

3hy=24-17t

Now on the left, we have 3hy, but remember; we want just y by itself. Once again, similar to solving an equation with real numbers, we can pretend that 3h is the coefficient of the equation, while y is our variable.

So to get y by itself, we'll need to divide both sides by 3h

y= \(\frac{24-17t}{3h}\), which can also be written as y=\(\frac{8}{h} -\frac{17t}{3h}\)

Hope this helps!

Answer:

Step-by-step explanation:there are 4 spaces between each whole number so each line is 1/4 of a whole.

A is 1 space away from 0 so it is 1/4

B is 2 spaces below 0 so is -1/2

Answer:

Initially 4.2 cubic feet,

Blown to 5.6 cubic feet,

% Change =  (5.6 - 4.2) / 4.2      * 100%

                  = 1.4/4.2 *  100%

                  = 1/3 * 100%

                  = 100/3  %

                   = 33    1/3  %

I hope this helps.

Step-by-step explanation:

Working together Betty and Melissa can mow the lawn in 30 minutes.

Betty can mow the lawn in 40 minutes.

In 1 minute betty can mow 1/40 portion of the lawn.

Melissa can mow the lawn in 120 minutes.

In 1 minute Melissa can mow the lawn 1/120 portion .

Now in 1 minute they can mow , 1/40 + 1/ 120 = 4 /120 = 1 / 30

Therefore they can mow the lawn in 30 minutes.

In terms of time and work, it refers to how long it takes a person or group of individuals to perform a task and how well each of them does it.

A crucial concept that time and labour have in common with other arithmetic topics is the concept of proportionality. Efficiency is often inversely proportional to time required when the amount of work is constant.

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Answer: 62 Ft

Step-by-step explanation:

The shadow adds 13ft

How we know- 19 1/2 - 6 1/2 = 13 ft

So we need to take away 13ft to find out the goal post actual height

75-13= 62