l can someone please help me
i will give brainiest

Answer:

\(102\textdegree\)

Step-by-step explanation:

If we let the measure of the smallest angle be \(x\), then we know that the measure of the angle that is three times as large as it is \(3*x=3x\) and the measure of the angle that is \(10\textdegree\) larger than it is \(x+10\).

Because the sum of the measures of the interior angles in a triangle is \(180\textdegree\), we can write the following equation to solve for \(x\):

\(x+3x+x+10=180\)

Solving for \(x\), we get:

\(x+3x+x+10=180\)

\(5x+10=180\) (Combine like terms)

\(5x=170\) (Subtract \(10\) from both sides of the equation to isolate \(x\), Simplify)

\(x=34\textdegree\)

Therefore, the measures of the other angles are \(3x = 3 * 34=102\textdegree\) and \(34+10=44\textdegree\). Since \(102>44>34\), the measure of the largest angle will be \(\bf102\textdegree\). Hope this helps!

The equivalence of the remainder following the division of 17 and 30 by N indicates that the largest value N can have is 30

The remainder term in a division of one value by a second value is the value which is less than the divisor, remaining after the divisor divides the dividend by a number of times indicated by the quotient.

The remainder following the division of 17 and 30 by the number N are the same.

Let R represent the remainder following the division of the integers 17 and 30 and let b represent the number of times N divides 30 than 17. Using the long division formula, we get;

17/N = Q + R/17

30/N = b·Q + R/17

30/N - 17/N = 13/N

The substitution property indicates that we get the following equation;

30/N - 17/N = b·Q + R/17 - (Q + R/17) = b·Q - Q

30/N - 17/N = b·Q - Q

13/N = b·Q - Q = (b - 1)·Q

13/N = (b - 1)·Q

The fraction 13/N which is equivalent to the product of (b - 1) and Q indicates that N is a factor of 13

13 is a prime number, therefore, the factors of 13 are 13 and N

Therefore, the possible values of N are 13 and 1

The largest value N can have is therefore, 13

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The function f(x) = x/(x+2) satisfies the hypotheses of the Mean Value Theorem on the interval [1, 4], and the number c that satisfies the conclusion of the Mean Value Theorem is c = 2.29.

To verify that f(x) satisfies the hypotheses of the Mean Value Theorem on [1, 4], we need to check that f(x) is continuous on [1, 4] and differentiable on (1, 4).

First, we note that f(x) is a rational function and is therefore continuous on its domain, which includes [1, 4].

To show that f(x) is differentiable on (1, 4), we calculate the derivative:

f'(x) = (2-x)/(x+2)²

Since the denominator is never zero on (1, 4), f(x) is differentiable on (1, 4).

By the Mean Value Theorem, there exists a number c in (1, 4) such that:

f'(c) = (f(4) - f(1))/(4 - 1)

Substituting the values of f(x) and f'(x) into this equation, we get:

(2-c)/(c+2)² = (4/3 - 1/3)/(4-1)

Simplifying and solving for c, we get:

c = 2.29

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Answer:

, hope u understand and happy

Answer:

Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more

Step-by-step explanation:

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:

45

Step-by-step explanation:

Replace everything in the equation that has a x to -3:

f(-3)=3(-3)^2-4(-3)+6

Square the -3:

f(-3)=3(9)-4(-3)+6

Multiply/Distribute

f(-3)=27+12+6

Add:

f(-3)=45

Hope this helps!

Answer:

f(x) = 45

Step-by-step explanation:

f (x) = 3x^2 − 4x + 6 find f (−3)

Replace the variable x with −3 in the expression.

f (−3) = 3(−3)^2 − 4 ⋅ −3 + 6

Simplify 3(−3)^2 − 4 ⋅ −3 + 6

Remove parentheses.

3(−3)^2 − 4 ⋅ −3 + 6

Raise −3 to the power of 2.

3 ⋅ 9 − 4 ⋅ −3 + 6

Multiply 3 by 9.

27 − 4 ⋅ −3 + 6

Multiply −4 by −3.

27 + 12 + 6

Simplify by adding numbers.

Add 27 and 12.

39 + 6

Add 39 and 6.

45

Answer:

f(0)=17

y-intercept=17

Step-by-step explanation:

Answer:

(0, 17) is the correct answer

Step-by-step explanation:

An arch top window is a window with a bottom in the form of a rectangle and the top in the form of a semicircle. The width of the window that lets in the most light is 6 meters.

The width of the window that lets in the most light is determined by the length of the base of the rectangle, which is equal to the diameter of the semicircle. The total length of the framing materials is 12 meters, so the base length of the rectangle should be 6 meters. Thus, the width of the window is 6 meters.

To explain further, the width of an arch top window is determined by the base of the rectangle that forms the bottom part of the window, and the top is a semicircle. To determine the width of the window that lets in the most light, the length of the base should be equal to the diameter of the semicircle. Since the total length of the framing materials is 12 meters, the base length of the rectangle should be 6 meters, and the width of the window should also be 6 meters.

This means that the width of the window that lets in the most light is 6 meters, as the length of the base of the rectangle is equal to the diameter of the semicircle.

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you have to subtract from the $92.74 the $10 of the monthly fee, and then that is divided by the additional amount per minute, so that gives us the result I use it 1379 minutes

First series is a geometric series with first term 7, second series  is a geometric series with first term 6 and common ratio 0.6 and we have |0.6| < 1, which means the series is convergent. The second series is convergent with sum 15.

How can series varies?

For the first series, we can see that each term is obtained by multiplying the previous term by a fixed ratio of -9/7. Therefore, this is a geometric series with first term 7 and common ratio -9/7.

To determine whether the series is convergent or divergent, we need to check whether the absolute value of the common ratio is less than or greater than 1. In this case, we have |-9/7| > 1, which means the series is divergent.

For the second series, we can see that each term is obtained by multiplying the previous term by a fixed ratio of 0.6. Therefore, this is a geometric series with first term 6 and common ratio 0.6.

To determine whether the series is convergent or divergent, we need to check whether the absolute value of the common ratio is less than or greater than 1. In this case, we have |0.6| < 1, which means the series is convergent.

To find the sum of the series, we can use the formula S = a/(1-r), where S is the sum, a is the first term, and r is the common ratio. Plugging in the values we have, we get:

S = 6/(1-0.6) = 15

Therefore, the second series is convergent with sum 15.

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Answer:

The expression "Keep body and soul together" is an idiom, a well-known phrase or collection of words that together mean something distinctly.

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

The fair price to play this game is 75p.

The game is played with a pot and a single die. The game begins with an empty pot. If the die is rolled and lands on 1, 2, or 3, one pound is added to the pot, and the die is rolled again. The game ends if the die lands on 4 or 5, and the player wins the amount of money in the pot. If the die lands on 6, the player leaves empty-handed.

Let x be the fair price of the game. The expected value of the game is the sum of the probabilities of all the possible outcomes multiplied by the payoffs.

The expected value is then set equal to the fair price x of the game

.E(roll a 1, 2, or 3) = 1/2 * 1 = 1/2

E(roll a 4 or 5) = 1/3 * p

E(roll a 6) = 1/6 * (-x)

E(win) = E(roll a 4 or 5) * (p + 2)

Set the expected value equal to x and solve for p:

E(roll a 1, 2, or 3) + E(roll a 4 or 5) + E(roll a 6) = E(win)1/2 + 1/3p - x/6 = p/3 + 2p/3(1/6)(-x) = (2/3)p - (1/2)x Simplifying the equation gives:-

x/6 = (2/3)p - (1/2)x(1/6)x = (1/3)pX = 75p, x = 75 * 0.5 = 37.5

Therefore, the fair price for the player to play this game is 75p.

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Topic : Linear equations in two variables.

Given :

Solution :

Now,

(i) + (ii)

\( \qquad \sf \: { \dashrightarrow 3x + 2y + (x - 2y) = - 4 + 4}\)

\( \qquad \sf \: { \dashrightarrow 3x + 2y + x - 2y = 0}\)

\( \qquad \sf \: { \dashrightarrow 3x \: \cancel{ + 2y} + x \: \cancel{- 2y} = - 4 + 4}\)

\( \qquad \sf \: { \dashrightarrow 4x = 0}\)

\( \qquad \bf \: { \dashrightarrow x = 0}\)

Now, substituting the value of x in Eq (i) :

\(\qquad \sf \: { \dashrightarrow 3x + 2y = -4}\)

\(\qquad \sf \: { \dashrightarrow 3(0) + 2y = -4}\)

\(\qquad \sf \: { \dashrightarrow 0 + 2y = -4}\)

\(\qquad \sf \: { \dashrightarrow 2y = -4}\)

\(\qquad \sf \: { \dashrightarrow y = \dfrac{ - 4}{2} }\)

\(\qquad \bf \: { \dashrightarrow y = -2}\)

Therefore, The value of x = 0 and y = -2

The solution to the two given simultaneous equations are; x = 0 and y = -2

We are given the simultaneous equations;

3x + 2y = -4   -----(eq 1)

x - 2y = 4      ------(eq 2)

Add eq1 and eq2 to get;

4x = 0

x = 0/4

x = 0

Substitute 0 for x in eq 2 to get;

0 - 2y = 4

-2y = 4

y = -4/2

y = -2

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The probability of getting at least 4 consecutive heads when tossing a fair coin 10 times is 12.4%.

To find the probability of getting at least 4 consecutive heads when a fair coin is tossed 10 times, we can use the concept of combinations.

The total number of possible outcomes when tossing a fair coin 10 times is 2^10 = 1024, since each toss has 2 possible outcomes (head or tail).

Now, let's consider the number of outcomes where we have at least 4 consecutive heads.

Case 1: Exactly 4 consecutive heads
The first 4 tosses must be heads, and the remaining 6 tosses can be either heads or tails. So, the number of outcomes in this case is 2^6 = 64.

Case 2: Exactly 5 consecutive heads
Similar to the previous case, the first 5 tosses must be heads, and the remaining 5 tosses can be heads or tails. The number of outcomes in this case is 2^5 = 32.

Case 3: Exactly 6 consecutive heads
Following the same pattern, the first 6 tosses must be heads, and the remaining 4 tosses can be heads or tails. The number of outcomes in this case is 2^4 = 16.

Case 4: Exactly 7 consecutive heads
Again, the first 7 tosses must be heads, and the remaining 3 tosses can be heads or tails. The number of outcomes in this case is 2^3 = 8.

Case 5: Exactly 8 consecutive heads
The first 8 tosses must be heads, and the remaining 2 tosses can be heads or tails. The number of outcomes in this case is 2^2 = 4.

Case 6: Exactly 9 consecutive heads
The first 9 tosses must be heads, and the remaining 1 toss can be heads or tails. The number of outcomes in this case is 2^1 = 2.

Case 7: All 10 tosses are heads
In this case, all the tosses must be heads. There is only 1 outcome.

So, the total number of outcomes where we have at least 4 consecutive heads is 64 + 32 + 16 + 8 + 4 + 2 + 1 = 127.

Therefore, the probability of getting at least 4 consecutive heads when tossing a fair coin 10 times is 127/1024, which simplifies to 0.124 or approximately 12.4%.

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In order to find the expected value of a probability distribution, you multiply each possible outcome by its corresponding probability and sum up the results. The expected value represents the average outcome you would expect to obtain if you repeated the experiment many times.

First, list all the possible outcomes and their associated probabilities. Then, multiply each outcome by its probability. Finally, add up all the products to find the expected value.

For example, let's consider a discrete probability distribution with outcomes x1, x2, ..., xn and their respective probabilities p1, p2, ..., pn. The expected value (E) is calculated as:

E = (x1 * p1) + (x2 * p2) + ... + (xn * pn)

Alternatively, if you have a continuous probability distribution, you need to integrate over the entire range of possible outcomes. In this case, the expected value is given by:

E = ∫(x * f(x)) dx

where f(x) is the probability density function.

The expected value provides a measure of the central tendency of the distribution and is often used in decision-making and statistical analysis.

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divide both length and width by the dialtion factor and that will be the dimensions of the new rectangle. 2.5714in by 3.4286in. Round as needed

The value of x is 2. The dimensions of the new rectangle after dilation are 16 inches by 18 inches, and its area is 288 square inches as required.

The dimensions of the original rectangle are 8 inches by 9 inches. When the rectangle is dilated by a scale factor of x, its dimensions become 8x inches by 9x inches. To find the value of x, we can use the area of the new rectangle which is 288 square inches.
The area of a rectangle is calculated by multiplying its length and width. So, for the new rectangle, the area is (8x)(9x) = 288. By multiplying the dimensions, we get 72x^2 = 288. To find the value of x, divide both sides by 72:
x^2 = 288 / 72
x^2 = 4
Now, take the square root of both sides to find the value of x:
x = √4
x = 2
So, the value of x is 2. The dimensions of the new rectangle after dilation are 16 inches by 18 inches, and its area is 288 square inches as required.

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In all cases, the sample size cannot be determined using the provided formulas and assumptions.

a. When trying to determine the sample size with 95% certainty that a sample of 1,500 invoices will contain no unsampled variations, the formula results in an undefined value due to division by zero. A finite sample size cannot be determined using this approach.

b. By replacing the heuristic 0.25 with p(1-p), where p is the proportion of variance, the modified formula for sample size also leads to an undefined value. It is not possible to determine a finite sample size using this modified approach.

c. If the Analyst states that 1 in every 12 invoices varies from the norm, the modified formula still results in an undefined value for the sample size.

d. If the population of 1,500 invoices is increased to 15,000 invoices, assuming the same certainty factor and acceptable error, the sample size would be proportional to the population size. However, since the original sample size calculation was undefined due to division by zero, the new sample size would also be undefined or infinite.

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The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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Answer:

I like math

Step-by-step explanation:

Answer: 5y²

Step-by-step explanation:

  Since 8y² and 3y² are similar terms, we can subtract the coefficients and keep the degree and variable the same.

8 - 3 = 5, so 8y² - 3y² = 5y²

When more than 25 shirts are ordered, the price is $15 per shirt, plus $15 shipping and handling.  If $720 was spent on shirts,  the student council ordered 47 shirts.

Let x be the number of shirts ordered. We can set up an equation based on the given information:

If x ≤ 25, then the cost of the shirts is 20x + 20.

If x > 25, then the cost of the shirts is 15x + 15.

We know that the total cost of the shirts is $720. So, we can write:

20x + 20 if x ≤ 25

15x + 15 if x > 25

Setting these equal to each other, we get:

20x + 20 = 15x + 15

5x = 5

x = 1

This doesn't make sense, because the number of shirts ordered must be greater than 1. Therefore, we know that the student council ordered more than 25 shirts.

Using the equation 15x + 15 = 720, we can solve for x:

15x + 15 = 720

15x = 705

x = 47

To check, we can calculate the cost of the shirts:

If 47 shirts are ordered, then the cost is 15(47) + 15 = $720.

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The volume of the solid that lies within the sphere x2 y2 z2=1, above the xy plane, and outside the cone z=√(8x2/y2 is 4π/5.

To solve the problem, we first need to find the limits of integration. The cone intersects the sphere at z=√(8x2/y2) and x2 + y2 + z2 = 1, so we can solve for y in terms of x and z:

x2 + y2 + z2 = 1

y2 = 1 - x2 - z2

y = ±√(1 - x2 - z2)

We only need the upper half of the sphere, so we take the positive square root:

y = √(1 - x2 - z2)

Since the cone is defined by z=√(8x2/y2), we can substitute this into the equation for y to get:

√(1 - x2 - z2) = √(8x2/(z2 - x2))

Squaring both sides gives:

1 - x2 - z2 = 8x2/(z2 - x2)

(z2 - x2) - x2 - z2 = 8x2

2x2 + 2z2 = z2 - x2

3x2 = z2

So the cone intersects the sphere along the curve 3x2 = z2. Since we are only interested in the portion of the sphere above the xy plane, we can integrate over the region x2 + y2 ≤ 1, 0 ≤ z ≤ √(3x2):

∫∫∫V dV = ∫∫R ∫0^√(3x^2) dz dA

where R is the region in the xy-plane given by x2 + y2 ≤ 1. We can switch to cylindrical coordinates by letting x = r cos θ, y = r sin θ, and dA = r dr dθ, so the integral becomes:

∫0^2π ∫0^1 ∫0^√(3r^2) r dz dr dθ

Evaluating the inner integral gives:

∫0^√(3r^2) r dz = 1/2 (3r^2)^(3/2) = 3r^3/2

Substituting back and evaluating the remaining integrals gives:

∫0^2π ∫0^1 3r^3/2 dr dθ = 2π ∫0^1 3r^3/2 dr = 2π [2/5 r^(5/2)]_0^1 = 4π/5

So, the volume of the solid is 4π/5.

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Answer:

1.15x10 to the power of 7

Answer:

1.15×10⁷

Step-by-step explanation:

that's the answer

The function f(x) = -√(x - 4) is a power function but not a polynomial.

To find whether the function f(x) = -√(x - 4) is a power function, a polynomial, both, or neither.

The function f(x) = -√(x - 4) is a power function since it can be written in the form f(x) = x^n, where n is a real number. In this case, n = 1/2, so the function is f(x) = -(x - 4)^(1/2).

However, f(x) = -√(x - 4) is not a polynomial because polynomials are functions with the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1),..., a_1, and a_0 are constants and n is a non-negative integer. Since the exponent in f(x) = -√(x - 4) is 1/2 (a non-integer), it is not a polynomial.

In conclusion, f(x) = -√(x - 4) is a power function but not a polynomial.

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Answer:

25

Step-by-step explanation:

..............

Use the distributive properties of the limit.

\(\displaystyle \lim_{x\to2} h(x) \bigg( 5 f(x) + g(x)\bigg) \\\\ ~~~~~~~~ = \lim_{x\to2} h(x) \cdot \lim_{x\to2} \bigg(5f(x) + g(x)\bigg) \\\\ ~~~~~~~~ = \lim_{x\to2} h(x) \cdot \left(\lim_{x\to2} 5f(x) + \lim_{x\to2} g(x)\right) \\\\ ~~~~~~~~ = \lim_{x\to2} h(x) \cdot \left(5 \lim_{x\to2} f(x) + \lim_{x\to2}g(x)\right) \\\\ ~~~~~~~~ = 2 \cdot (5\cdot4 + (-6)) = \boxed{28}\)

Given: A 180 degree rotation of a vertical angle will always map to the other vertical angle

To Determine: The prove that the vertical angles are congruent

Draw and label to vertical lines with an angle

The 180 degree rotation of the vertical angle BOC would give:

Note that the other vertical would be AOD

The students should respond that

Hence, the 180 degree rotation of a vertical angle will always map to the other vertical angle which are congruent to each other because:

The vertical angles are vertically opposite to each other

Answer:

80

Step-by-step explanation:

check attached picture