The school's Environmental Science Club has $500 of funds. Each time they go on a field trip, it costs
them $80. Write an algebraic expression that represents the money the club has after going on field
trips. Use the Math equation tool va to answer the question.

Answer:

I got 105°

Step-by-step explanation:

Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)

180 - 30 = 150°

150/2 = 75°

the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.

37.5 X 2 = 75°

180-75 = 105°

D = 105°

a) Because when you simplify it, you get (x+5)(x+5) or \((x+5)^2\)

Answer:

A is the correct answer trust me

Answer:

The equation of the line is \(y = 3x + 3\)

Step-by-step explanation:

Looks like you've already found the y-intercept and slope of this graph. Great! That's all the info we need to create an equation.

The equation of a line is always in \(y = kx+b\) form, where k is the constant of proportionality (aka the slope) and b is the constant added (aka the y-intercept).

We know the slope is 3 and the y-intercept is 3, so we can put these values into the equation.

\(y = 3x+3\)

Hope this helped!

Answer:

The height is 3

Step-by-step explanation:

The formula to find the volume is pi r^2 h/3

So we change the formula: 400pi is 1256.64 rounded

Divide 1256.64 by pi 20^2 and you get 3

The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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The equation of the table in slope intercept form is y = - 5 / 2x - 1

Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.

But the equation of the table below will be represented in slope intercept form.

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, using (-4, 9)(-2, 4)

m = 4 - 9 / -2 + 4

m = - 5 / 2

Hence, let's find the y-intercept using (0, -1)

y = - 5 / 2x + b

-1  = - 5 / 2(0) + b

b = -1

Therefore, the equation is y = - 5 / 2x - 1

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Answer:

graph them and then see if they intersect(but if you notice that the coordss of the second line are all smaller than the coords of the first line, meaning that they wont be touching at all)

Step-by-step explanation:

In order for f(x) to be a linear function, determine the value of k in the data set.

x = {-7, -2, 2, 5}

f(x) = {-15, k, 3, 9}

The value of k is {-5}.

Given that to find the value of k in the data set such that the data set represents a linear function.

Linear Function is a straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.

Here, f(x) or y is the dependent variable, m is a slope of the line, x is the independent variable and b is the y-intercept.

Here,(x,f(x)) are {(-7,-15),(-2,k),(2,3),(5,9)}

The slope of the function,

(x, f(x)) = (2,3) and (5,9)

Slope formula is m=\(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).

Slope m= \(\frac{9-3 }{5-2}\)

Slope m=\(\frac{6}{3}\)

Slope m=2.

Using the point slope form, determine the linear function's equation.

\(y-y_{1} =m(x-x_{1})\)

Here, \((x_{1},y_{1})=(-7,-15)\) and m=2

We get

y + 15 = 2 (x + 7)

y = 2x - 1

Now at x = -2 and f(x) = k

k = 2(-2) - 1

k = -4-1

k=-5

Therefore, the value of k is -5.

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Answer:

see photo attached for your reference.

Step-by-step explanation:

15.50 (to the nearest hundredth)

Answer:

The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

Therefore , the solution to the given problem of equation comes out  to be The coordinates for the picture that is mirrored in the y-axis

are (-3, -2)

A formula for a mathematical equation combines two statements by using the equal sign (=) to denote equivalence. An equation in algebra is a statement proving the equality of two mathematical equations. For instance, the two numbers are connected by the equation 5x + 5 = 14. A mathematical relationship is built between the sentences on either side of a letter. Usually, the symbol serves as the only variable and the only factor. For instance, 8x - 4 = 2.

Here,

the specified point's coordinates are (3, -2).

Now,

(I) The image's coordinates that are reflected in the x-axis are (3, 2)

(ii) The coordinates for the picture that is mirrored in the y-axis are (-3, -2)

(iii) The point's coordinates for the x-axis reflection and the y-axis reflection will indeed be (-3, 2).

(iv) The point's coordinates that are reflected inside the source would be (-3, 2).

Therefore , the solution to the given problem of equation comes out  to be The coordinates for the picture that is mirrored in the y-axis

are (-3, -2)

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Answer:

in decimal form, it is 0.1 in percent form it is 10%

Step-by-step explanation:

Answer:

114/6 = $19

144/8= $18

160/10 = $16

180/15 = $12

d is best value

The best point estimate for the population mean is approximately 40.3. The resulting distribution of sample means might exhibit a normal-like shape. From this distribution, we can find the lower and upper bounds that correspond to the 10th and 90th percentiles, respectively.

The best point estimate for the population mean, denoted as μ, can be calculated by taking the average (mean) of the sample data.

Calculating the best point estimate:

Using the given sample data of 30, 37, 36, 43, 42, 43, 43, 46, 41, and 42, we can calculate the sample mean by adding up all the values and dividing by the total number of observations:

(30 + 37 + 36 + 43 + 42 + 43 + 43 + 46 + 41 + 42) / 10 = 403 / 10 = 40.3

Hence, the best point estimate for the population mean is approximately 40.3.

To calculate an 80% bootstrap confidence interval for the population mean, we perform resampling with replacement from the given sample data. By randomly sampling the data multiple times (e.g., around 10,000), we can create bootstrap samples of the same size as the original sample. For each bootstrap sample, we calculate the sample mean and collect these means.

By sorting the collected means, we can determine the lower and upper percentiles of the bootstrap distribution. Since we want an 80% confidence interval, we look for the 10th percentile and the 90th percentile.

Performing the bootstrap simulation, the resulting distribution of sample means might exhibit a normal-like shape. From this distribution, we can find the lower and upper bounds that correspond to the 10th and 90th percentiles, respectively. These bounds would form the 80% bootstrap confidence interval for the population mean.

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It is not possible to form a triangle with the given side lengths of √3 m, √15 m, and √24 m.

In order to determine if it is possible to form a triangle with the given side lengths, we need to check if the sum of the lengths of any two sides is greater than the length of the remaining side.

Let's examine the side lengths:

√3 m ≈ 1.73 m

√15 m ≈ 3.87 m

√24 m ≈ 4.90 m

We can compare the sums of the side lengths:

1.73 m + 3.87 m = 5.60 m

1.73 m + 4.90 m = 6.63 m

3.87 m + 4.90 m = 8.77 m

From the comparisons, we see that the sum of the lengths of any two sides is never greater than the length of the remaining side. In order for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the remaining side. Therefore, it is not possible to form a triangle with the given side lengths of √3 m, √15 m, and √24 m.

In conclusion, based on the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side, it is not possible to form a triangle with the given side lengths.

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Answer:

mean 2 range2.5

Step-by-step explanation:

Answer:

-1.5 = s

Step-by-step explanation:

Solve for s:

\(7=-10s-8\)

Add 8 to both sides

\(15=-10s\)

Divide by -10

\(-1.5=s\)

Y = -1/8X +2

When X is 1, Y = -0.125+2, or 1.875

When X is -5, Y = 0.625+2, or 2.625

When X is -9, Y = 1.125+2, or 3.125

When X is -2, Y = 0.25+2, or 2.25

When X is -4, Y = 0.5+2, or 2.5

---

hope it helps

Answer:

Pugs are natural cuddlers.

Pugs tend to be smart, observant, and quick learners. ...

Pugs are relatively low-maintenance.

With pugs, a little exercise goes a long way.

Pugs get along well with other animals

Step-by-step explanation:

please mark me as brainlist

Answer:

Her answer is right .... ....

Subtract 3 from each side

In the equation:

\(w + 3 = - 4\)

Subtracting 3 from both sides of the equation. We have:

\(w + 3 - 3 = - 4 - 3 \\ w + 0 = - 7\)

Therefore: \(w = - 7\)

The simplest way to do this is by moving 3 to the other side of the equation, where it then changes to -3 due to the equality sign (=). this is what I mean:

\(w + 3 = - 4 \\ w = -4 - 3 \\ w = - 7\)

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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The probability of rolling a 5 on the (x+1)-th roll is P{X=x, Y=5} = (5/6)^(x-1) * (1/6) * (1/6)^4 * (5/6).

To find P{X=x, Y=1}, we need to calculate the probability of rolling a 6 for the first time on the x-th roll and rolling a 5 on the first roll. Since the rolls are independent, we can use the multiplication rule of probability:

P{X=x, Y=1} = P(X=x and Y=1) = P(X=x) * P(Y=1)

We know that X and Y have geometric distributions with parameters p=1/6 and q=5/6, respectively. Therefore,

P(X=x) = (1-p)^(x-1) * p = (5/6)^(x-1) * (1/6)

P(Y=1) = q = 5/6

Substituting these values into the equation above, we get:

P{X=x, Y=1} = (5/6)^(x-1) * (1/6) * (5/6)

To find P{X=x, Y=5}, we need to calculate the probability of rolling a 6 for the first time on the x-th roll and rolling a 5 for the first time on the fifth roll. Again, we can use the multiplication rule of probability:

P{X=x, Y=5} = P(X=x and Y=5) = P(X=x) * P(Y=5|X=x)

We know that Y has a geometric distribution with parameter q=5/6, given that X=x, the probability of rolling a 5 on the (x+1)-th roll is:

P(Y=5|X=x) = (1-q)^4 * q = (1/6)^4 * (5/6)

Substituting these values into the equation above, we get:

P{X=x, Y=5} = (5/6)^(x-1) * (1/6) * (1/6)^4 * (5/6)

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The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents the width (in meters) of the figure, and y represents the length (in meters). Hence:

y = 4x + 3

4x - y = -3    (1)

Also:

2x + 2y = 351    (2)

From both equations:

x = 34.5, y = 141

The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

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Answer:

x = 53°

y = 90°

Step-by-step explanation:

We can see that angle y is a right angle, so y is 90°.

The marked red line above may be a straight line, so x+37° = 90, because the marked orange line is perpendicular to the red line (y=90°).

x + 37° = 90

x = 53°

Answer:

1,400 children attend the school

Step-by-step explanation:

If 20% is 280, we can set up a proportion to solve for how many attend the school. I will put the percentages on top and the number of children on the bottom:

-> Please note that a percentage divided by 100 becomes a decimial

\(\frac{20}{280}=\frac{100}{x}\)

Cross multiply:

.2 * x = 280 * 1

.2x = 280

Divide both sides of the equation by .2:

1,400 children attend the school

We can check our work by multiplying 1,400 by 0.2:

1,400 * 0.2 = 280 ✓

A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes. So the correct option is D.

In the given question we have to find what type of variable is required to construct a confidence interval for a population proportion.

As we know that;

Population proportion is the percentage of the entire population that possesses the given quality (which is qualitative in nature). The confidence interval for the population proportion must thus be constructed using a qualitative variable with two possible outcomes.

So, the correct option is identified from nature of different type of the variables. A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes.

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The right question is:

What type of variable is required to construct a confidence interval for a population proportion?

A. Quantitative

B. Qualitative with any number of possible outcomes

C. Continuous

D. Qualitative with 2 possible outcomes

E. Discrete

F. Qualitative with 3 or more possible outcomes

The value of cot 0 is -8/15.

The value of sin 0 is 0.

The value of cos 0 is 1.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

0 lies in the fourth quadrant.

Cot 0 = -8/15

Sin 0 = 0

Cos 0 = 1

Thus,

Cot 0 is -8/15.

Sin 0 is 0.

Cos 0 is 1

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Let the unkown be x. the given proportion would be

20/3 = x/6

By crossmultiplying, it becomes

x * 3 = 20 * 6

3x = 120

x = 120/3

x = 40

The correct option is C

Answer: F. n = s/180 + 2

Step-by-step explanation:

         To find the equation that solves for n, we will isolate the n variable.

Given:

     S = (n - 2) x 180

Divide both sides of the equation by 180:

     \(\frac{S}{180}\) = n - 2

Add 2 to both sides of the equation:

     \(\frac{S}{180}\) + 2 = n

Reflexive property:

    n = \(\frac{S}{180}\) + 2

                   F. n = s/180 + 2