1. Triangle DEF has side lengths 7, 12, and 13. Is this a right triangle? Justify your answer.
*dont have a picture *​

Answer:

27

Step-by-step explanation:

20=v-7

v=20+7

v=27

Hence, v equals to 27

\(\huge\mathbb\purple{EXPLAIN}\)

\(20 = v - 7\)

\(v = 20 + 7 = 27\)

Answer:

84.5

edit:

incorrect its 43.5 sorry

Step-by-step explanation:

The function is concave up on the interval (-infinity, -sqrt(1/2)) U (sqrt(1/2), infinity).

The function f(x) = e^-x^2 is concave up when the second derivative is positive.

First, let's find the first derivative:
f'(x) = -2xe^-x^2

Next, let's find the second derivative:
f''(x) = (4x^2 - 2)e^-x^2

To find the interval where the function is concave up, we need to find when f''(x) > 0.

(4x^2 - 2)e^-x^2 > 0

4x^2 - 2 > 0

4x^2 > 2

x^2 > 1/2

x > sqrt(1/2) or x < -sqrt(1/2)

Therefore, the function is concave up on the interval (-infinity, -sqrt(1/2)) U (sqrt(1/2), infinity).

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Numerical integration is a numerical analysis technique for calculating the approximate numerical value of a definite integral.

In general, integrals can be either indefinite integrals or definite integrals. A definite integral is an integral with limits of integration, while an indefinite integral is an integral without limits of integration.A numerical integration formula is an algorithm that calculates the approximate numerical value of a definite integral. Numerical integration is based on the approximation of the integrand using a numerical quadrature formula.

The numerical quadrature formula is used to approximate the value of the integral by breaking it up into small parts and summing the parts together.Equations for the calculation of integration by trapezoidal rule (1/2)h[f(x0)+2(f(x1)+...+f(xn-1))+f(xn)] where h= Δx [the space between the values], and x0, x1, x2...xn are the coordinates of the abscissas of the nodes. The basic principle is to replace the integral by a simple sum that can be calculated numerically. This is done by partitioning the interval of integration into subintervals, approximating the integrand on each subinterval by an interpolating polynomial, and then evaluating the integral of each polynomial.

Based on the given table of unequally spaced data, we are to calculate the approximate numerical value of the definite integral. To do this, we will use the integration formula as given by the trapezoidal rule which is 1/2 h[f(x0)+2(f(x1)+...+f(xn-1))+f(xn)] where h = Δx [the space between the values], and x0, x1, x2...xn are the coordinates of the abscissas of the nodes.  The table can be represented as follows:x            0.1 0.3 0.5 0.7 0.95 1.2f(x)      1 0.9048 0.7408 0.6065 0.4966 0.3867 0.3012Let Δx = 0.1 + 0.2 + 0.2 + 0.25 + 0.25 = 1, and n = 5Substituting into the integration formula, we have; 1/2[1(1)+2(0.9048+0.7408+0.6065+0.4966)+0.3867]1/2[1 + 2.3037+ 1.5136+ 1.1932 + 0.3867]1/2[6.3972]= 3.1986 (to 4 decimal places)

Therefore, the approximate numerical value of the definite integral is 3.1986.

The approximate numerical value of a definite integral can be calculated using numerical integration formulas such as the trapezoidal rule. The trapezoidal rule can be used to calculate the approximate numerical value of a definite integral of an unequally spaced table of data.

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Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

If we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units.

Assuming you meant to say "let f be a differentiable function where f(9) = 4 and f'(9) = 3. If we change x by -0.7 and we change y by 0.3, then we can expect the value of f(x) to change by approximately what amount?"

Using the linear approximation formula, we have:

\(Δf(x) ≈ f'(9) Δx\)

where Δx = -0.7 and we want to find Δf(x) when Δy = 0.3.

We can rearrange the formula to solve for Δf(x):

\(Δf(x) ≈ f'(9) Δx\)

Δf(x) ≈ 3(-0.7)

Δf(x) ≈ -2.1

This means that if we change x by -0.7, we can expect the value of f(x) to decrease by approximately 2.1 units. However, this is only an approximation based on the linear behavior of the function near x = 9, so it may not be exactly accurate for large changes in x.

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Answer:

Step-by-step explanation:

                            Mixed number          Improper fraction

a) 1 + 1 + 1/3 =            \(2\frac{1}{3}\)                                7/3

b) 1 + 1 + 1 + 5/8 =     \(3\frac{5}{8}\)                                 29/8

c) 1 + 1 + 1 +2/4 =      \(3\frac{2}{4}\)                                  14/4

The following are crucial factors in hypothesis testing:

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.

Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.

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Answer:

Step-by-step explanation:

2x4=8

4+4=8

Or

2+2+2+2=8

Answer:

Step-by-step explanation:

6y = -3x - 3

y = -1/2x - 1/2

perp. 2

y + 5 = 2(x - 1)

y + 5 = 2x - 2

y = 2x - 7

After evaluation, the area of the triangle R bounded by y = x, x = 2y, y = 3 is found to be 4/9.a

By adopting a double integral in polar coordinates, where x = r cos(Ф) and y = r sin(Ф), we may solve problem. The constraints for r are from 0 to 3sin(Ф), whereas the bounded region for theta are from 0 to π/4.

We thus have:

integral from 0 to 3sin(Ф) of r² dA and integral from 0 to π/4= integral of (1/3)(3sin(Ф))3d(Ф) from 0 to π/4

= (1/3) integral of 27sin³(Ф)d(Ф) from 0 to π/4

= (1/3)(4/3)

= 4/9

As a result, the integral's value is 4/9.

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Complete question - Evaluate х Store dA, R: x² + y² where R is the triangle region bounded by y = x, x = 2y, y = 3.

Farm Joe used \(7\frac{6}{15}\) kg of soil in this month.

The total weight of soil that Farm Joe ordered was:

3 bags x 4 2/5 kg/bag = 12 6/15 kg = 12 2/5 kg

The weight of the first bag used was 4 2/5 kg.

The weight of the second bag remaining is 2 3/4 kg.

The weight of the third bag remaining is 7/8 kg.

The total weight of soil used in this month can be found by subtracting the weight of the second and third bags remaining from the total weight of soil ordered:

12 2/5 kg - 2 3/4 kg - 7/8 kg

Converting all fractions to fifteenths:

12 8/15 kg - 5 1/15 kg - 1/15 kg = 7 6/15 kg

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True. An annuity due is a series of equal payments made at the beginning of each period, while an ordinary annuity is a series of equal payments made at the end of each period.

Because payments made at the beginning of each period earn interest for one additional period, annuity due payments are worth more than equivalent ordinary annuity payments. This means that the present value of an annuity due must be larger than the present value of an equivalent ordinary annuity, assuming the same interest rate and number of payments.

Therefore, if we compare two annuities with the same payment amount, interest rate, and number of payments, the annuity due will always have a larger present value than the ordinary annuity. It is important to understand the difference between these two types of annuities as it can impact the amount of money you receive or need to save for your retirement.

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Answer:

12

Step-by-step explanation:

We are told that the school won 75% of the games, this means that the school lost:

100% - 75% = 25%

the school lost 25% of the games that equate to 4 games:

Games          Percentage

    4           ⇔       25%

I will call 'x' the number of games that they won, which is the 75%:

Games          Percentage

    4           ⇔       25%

    x           ⇔       75%

we can solve this problem using the rule of three: multiply the cross quantities on the table (4 by 75) and then we divide by the remaining number on the table (25), thus the number of games they won is:

x = 4*75/25

x = 300/25

x = 12

they won 12 games

Another (perhaps simpler) way to find this same result is:

we know that 25% equals 4 games,

if we want 75%, this is 3 times more than 25% (because 25% times 3 is 75%) thus, the result (number of games they won) is 3 times more than 4:

4 * 3 = 12

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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The series of functions given as n=1 on (0.00) is divergent.

To determine the convergence of the series, we need to analyze the behavior of the individual functions as n approaches infinity.

Each term in the series, f_n(x) = x^n, depends on the value of x. For x = 0, all terms of the series are zero, which makes the series converge to zero at x = 0.

However, for any x ≠ 0, as n increases, the terms in the series grow larger and larger. The exponential growth of the terms indicates that the series does not converge but diverges.

Therefore, the series of functions n=1 on (0.00) is divergent for all values of x ≠ 0.

It is important to note that the convergence of a series can be dependent on the value of p, but in this case, the series diverges regardless of the value of p due to the exponential growth of the terms.

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Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = \(-\frac{1}{4}\) x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = \(\frac{3-2}{5-0}\) = \(\frac{1}{5}\)

y = \(\frac{1}{5}\) x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)

Answer:

96sq ft. u just multiple the length by the height then square it

Answer:

the answer is 6/7.

you're welcome.

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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The truth values of the statement are

a) Q(Denver, Colorado) is true

b) Q(Detroit, Michigan) is false

c) Q(Massachusetts, Boston) is true

d) Q(New York, New York) is false

In this case, we are considering statements of the form "x is the capital of y," where x and y are specific places. These statements can have different truth values, depending on whether they are true or false. Let's explore the truth values of some specific examples.

a) Q(Denver, Colorado)

This statement asserts that Denver is the capital of Colorado. Is this true or false? Well, the capital of Colorado is actually Denver, so this statement is true. Therefore, the truth value of Q(Denver, Colorado) is true.

b) Q(Detroit, Michigan)

This statement asserts that Detroit is the capital of Michigan. Is this true or false? Actually, Lansing is the capital of Michigan, not Detroit. Therefore, this statement is false. The truth value of Q(Detroit, Michigan) is false.

c) Q(Massachusetts, Boston)

This statement asserts that Boston is the capital of Massachusetts. Is this true or false? Yes, Boston is indeed the capital of Massachusetts, so this statement is true. The truth value of Q(Massachusetts, Boston) is true.

d) Q(New York, New York)

This statement asserts that New York is the capital of New York. Is this true or false? Actually, Albany is the capital of New York, not New York City. Therefore, this statement is false. The truth value of Q(New York, New York) is false.

So, as we can see, the truth values of these statements depend on the specific relationships between x and y. When x is indeed the capital of y, the statement Q(x, y) is true, and when x is not the capital of y, the statement is false.

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Answer:

c=5 v=10

Hoped I helped

The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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Q11: angle EFG = 90°

angle GDH = 90°÷2

= 45°

angle FEG = 90°÷2

= 45°

angle DHG = 180°-45°-45°

= 90°

Q12. (6x-21)°=90°÷2

=45°

6x=45°+22°

=67°

x=67°÷6

=11/1/6°

hope it helps:)))))

Answer:

5 hourss

Step-by-step explanation:

197-32= 165

165/33

Answer:

5 hours

Step-by-step explanation:

Ralph earned $197 in total but with an initial fee of $32 so,

197 - 32 = 165

$165 is the amount he made from the hourly fee alone. So let's divide the total by the hourly fee.

165 ÷ 33 = 5.

So the job took 5 hours.

Given that Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store. Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each. The mo appropriate domain of the function is C. 0 < x < 2 where x is an integer.

The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. The cost of each shirt is $15.The cost of a belt is $8.The total amount Tyson can spend is $50.

(i) If he buys only one shirt, the cost will be $15 + $8 = $23 and the balance on the gift card will be:$50 - $23 = $27(ii) If he buys two shirts, the cost will be $15 × 2 + $8 = $38 and the balance on the gift card will be:

$50 - $38 = $12

(iii) If he buys three shirts, the cost will be $15 × 3 + $8 = $53 and Tyson cannot purchase all three shirts because he only has $50. Thus, Tyson can buy at most 2 shirts. The domain of the function f(x) = 42 - 15x is such that the total cost of x shirts plus the cost of the belt is less than or equal to $50. Therefore:

15x + 8 ≤ 50

Subtracting 8 from both sides gives:

15x ≤ 42 Dividing both sides by 15 gives: x ≤ 42/15

The largest integer less than or equal to 42/15 is 2, thus the appropriate domain of the function is 0 ≤ x ≤ 2 where x is an integer.

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