The graph below represents a linear function


Wich of the following best represents the slope of the line shown below ?​

A box indicates a 90° angle.

So to find m<a, we can setup the equation 41 + a = 90.

Now subtract 41 from both sides to get a = 49.

Answer:

4

Step-by-step explanation:

-6 + x/4 = -5 --> add 6 to both sides

x/4 = 1 --> times 4 on each side

x = 4

The probability as a Fraction:  5400/5625

Decimal Number: 0.96

Percentage: 96%      

What is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Here, we have

Given the animal total in the park number marked

We have to find the probability of the next elk caught in the park being unmarked.

There are a total of 5625 elks in the park. 225 of those are marked.

5625 - 225 = 5400

So, 5400 elks are not marked yet.

5400/5626 = 0.96 = 96%

Hence, 0.96 is the probability of the next elk caught in the park being unmarked.

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Answer:

3

Step-by-step explanation:

81^(¼) can also be witten as the fourth root of 81, which happens to be 3.

Answer:

3

Step-by-step explanation:

(3*(to the fourth power))1/4

Gail scores 153 points on average every bowling game, with a 14.5 point standard deviation. Assume Gail's bowling game points are evenly divided. With x = 108, the mean is 153, and the z-score is  -3.103.

The z-score when Gail scores 108 points in a game is calculated as:

z = (x - μ) / σ

where x = 108 is the observed score, μ = 153 is the mean, and σ = 14.5 is the standard deviation.

Plugging in the values, we get:

z = (108 - 153) / 14.5 ≈ -3.103

Rounding to three decimal places, the z-score when Gail scores 108 points in a game is approximately -3.103.

The mean is μ = 153, which is given in the problem statement.

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Answer:

-22 + (-16)= -38

Step-by-step explanation:

Answer

-38

Explanation

This is the expression given.

-22+(-16)

Adding a negative number to something is the same thing as subtracting the number.

-22-16

To subtract two negative numbers, you are technically adding the numbers and putting a negative sign.

22+16=38

And put a negative sign in front of that.

So the answer would be -38.

I know I'm not getting brainliest but i need points and I'm doing a challenge so

19251

The probability of rolling a 3 on the first throw and a 4 on the second throw of a six-sided die is 1/36.

To find the probability of rolling a 3 on the first throw and a 4 on the second throw of a six-sided die, we need to consider the probability of each individual event and multiply them together.

The probability of rolling a 3 on the first throw is 1/6, as there is one favorable outcome (rolling a 3) out of six possible outcomes (numbers 1 to 6 on the die).

Similarly, the probability of rolling a 4 on the second throw is also 1/6.

To find the probability of both events occurring, we multiply the individual probabilities

Probability = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a 3 on the first throw and a 4 on the second throw is 1/36.

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Answer:

You didn't add any options but here is a couple that could work.

3m - 9 + 4

3m - 5

Hope that helps and have a great day!

Answer:

Its not the same

Step-by-step explanation:

Hey there!

I would respond to him by telling him that its first 15% off then you can add the 10%

First, you would take out the 15% from $24.99 which would make the price $21.25.

Then you would take out the 10% which makes the final price $19.13

This is because the 10% was added later.

If you took out 25% in the begining the final price would be $18.75 not $19.13

Answer:

$46.50 = $15+ $5.25x

it will take her 6 weeks

Step-by-step explanation:

she has $15, so that stays the same and the amount she saves each week is multiplied by the number of weeks. then solve the equation to find the value of x or the number of weeks and get 6 weeks

Answer:

6 weeks

Step-by-step explanation:

5.25 times 6 equals 31.5 plus 15 equals 46.50

Answer:

\(9\pi \: (x - {4})^{2} \)

9π ( x - 4

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

=3.8x108+1.6x107

Step-by-step explanation:

Answer:  5.816 × 10²

581.6 in scientific notation is 5.816 × 10²

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

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a. Integration using parts of ∫(x/√(x+7)) is 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C.

b. Integration using substitution of ∫(x/√(x+7)) is (2/3) \((x+7)^{(3/2)}\) - 7√(x+7) + C.

a) Evaluate ∫(x/√(x+7)) dx using integration by parts:

Let u = x, dv = 1/√(x+7) dx, then du/dx = 1 and v = 2√(x+7)

Using integration by parts formula, we have:

∫(x/√(x+7)) dx = uv - ∫v du/dx dx

= 2x√(x+7) - 2∫√(x+7) dx

Let t = x + 7, then dt/dx = 1 and dx = dt, so the integral becomes:

∫(x/√(x+7)) dx = 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C

where C is the constant of integration.

b) Evaluate ∫(x/√(x+7)) dx using substitution:

Let u = √(x+7), then du/dx = 1/(2√(x+7)) and dx = 2u du

Substituting, we get:

∫(x/√(x+7)) dx = ∫(\(u^2\) - 7) du

= 1/3 \((x+7)^{(3/2)}\) - 7√(x+7) + C

where C is the constant of integration.

c) To verify that the answers in parts (a) and (b) are consistent, we can substitute the expression obtained in part (b) back into the integral in part (a) and simplify:

∫(x/√(x+7)) dx = 2x√(x+7) - 2∫√(x+7) dx

= 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C

Now, substituting the expression obtained in part (b):

= 2x(√(x+7)) - 4/3 \((x+7)^{(3/2)}\) + C

= (2/3) \((x+7)^{(3/2)}\) - 7√(x+7) + C

Thus, the expressions obtained in part (a) and part (b) are consistent and differ only by a constant term.

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Answer:

Neither

Step-by-step explanation:

Parallel lines don't intersect

Answer:

Neither parallel or perpendicular.

Step-by-step explanation:

For AB A(-1,-4) and B(2, 11)

x1,y1 x2,y2

Gradient = (y2 - y1)/(x2 - x1)

= (11 - (-4))/(2 - (-1))

= 15/3 = 5.

For CD C(1 , 1) and D(4 , 10)

x1, y1 x2, y2

Gradient = (y2 - y1)/(x2 - x1)

= (10 - 1)/(4 - 1)

= 9/3 = 3

from the above they are neither parallel or perpendicular.

Answer:

-1

Step-by-step explanation: hope this helps

Answer:

The answer is 8^4+4. The last one

The smallest whole number satisfying the given remainders is 2519 when divided by the given sequence of numbers.

To find the number, we need to look for the smallest number that leaves a specific remainder when divided by each of the given numbers.

We can start by considering the remainders in reverse order: Since dividing by 2 leaves a remainder of 1, we search for numbers that end with 1.

By applying the same logic to the remaining numbers, we find that the number must end with 1 and be divisible by 2, 3, 4, 5, 6, 7, 8, 9, and 10.

By finding the least common multiple of these numbers (2345678910), which is 2520, we subtract one to obtain 2519.

Thus, 2519 is the smallest whole number that satisfies the given conditions.

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Answer:

7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

hope this helped!!!

Answer:

I mean I would say your response is pretty good if I was looking from your perspective...

Step-by-step explanation:

Of course everyone has their own favorite subject but I can clearly see why that subject inspires you... so all I can say is it’s good... ;)

Answer:

c the student who missed 14 items

Answer:

The answer is B: The student who missed 14 items caused the distribution to be skewed to the right.

To draw a vector starting at black dot 3, consider its location and orientation, consider vector V 2v→2, draw a vector in the same direction as V 2v→2, and double-check accuracy and grading criteria.

To draw the vector starting at the black dot 3, you need to consider the location and orientation. The exact length of the vector will not be graded, but the length relative to vector V 2v→2 will be graded.

Here's how you can draw the vector:

1. Start by locating the black dot 3 on your coordinate plane.
2. Determine the direction and orientation of the vector based on the given information.
3. Consider vector V 2v→2 and its length.
4. Draw a vector starting at black dot 3 that is in the same direction as V 2v→2. Remember, the length of this vector is not important, but its relative length compared to V 2v→2 is graded.
5. Make sure the vector starts at black dot 3 and points in the same direction as V 2v→2.

Remember to double-check your work and ensure that the vector is accurate and meets the grading criteria.

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The function f(x) = \(5(3)^x+3\) is continuous everywhere on its domain, which is (-∞, ∞).

The function f(x) =  \(5(3)^x+3\)   is continuous everywhere because it is an exponential function with a base of 3, which is a positive number. Exponential functions with positive bases are continuous over their entire domain.

To see why, consider the definition of continuity: a function f(x) is continuous at a point x = c if the limit of f(x) as x approaches c exists and is equal to f(c). For an exponential function with a positive base, as x approaches c, the function values either increase to infinity or decrease to 0, depending on whether the exponent is positive or negative, respectively. In either case, the limit exists and is equal to the function value at c, so the function is continuous at c. Since this holds for all points in the domain, the function is continuous everywhere it is defined.

The domain of f(x) is all real numbers, so the function is continuous on the interval (-infinity, infinity), or in interval notation, the domain is (-∞, ∞).

In summary, the function f(x) = 5(3)ˣ +3 is continuous everywhere on its domain, which is (-∞, ∞).

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