Will give brainiest for the correct answer! please!

Answer:

θ = \(76.3\)°

Step-by-step explanation:

using the SOHCAHTOA method,

Here hypotenuse is 38, adjacent is 9

Using cosine formula:

\(cos(x ) = \frac{adjacent}{hypotenuse}\)

\(cos(x) = \frac{9}{38}\)

\(x = cos^{-1} (\frac{9}{38} )\)

\(x = 76.3\)°

Two positive angles that have a sum of π/2 radians are complementary angles, whereas two positive angles that have a sum of π radians are supplementary angles.

Complementary angles are two angles whose measures add up to a right angle, which is equal to π/2 radians or 90 degrees. In other words, if α and β are complementary angles, then α + β = π/2.

Supplementary angles, on the other hand, are two angles whose measures add up to a straight angle, which is equal to π radians or 180 degrees. If α and β are supplementary angles, then α + β = π.

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The probability that the first is a king, the second a diamond and the third a diamond quiz let is 1/13, 1/4 and 10/52 respectively.

Now, we know that there are 52 cards in the deck of cards, and there are 13 cards of each suits i.e. diamonds, spade, heart and clubs. Also there are 12 face cards in total of the deck.

So, the probability if getting the first card is king :

King is a face card and there are 4 kings in the deck so the probability will be :

P(getting 1st card as king) = 4/52 = 1/13.

The probability of getting the second card a diamond is :

we know that there are 13 cards of the diamond in the deck so the probability will be :

P(getting the diamond card) = 13/52 = 1/4.

Now, lastly the probability if getting the diamond quiz let is :

There are 10 flashcards of the diamonds in the deck, so the probability will be :

P(getting the diamond flashcard) = 10/52.

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Answer:

C. $114

Step-by-step explanation:

Take the cost per mile times the miles traveled.

0.19 x 600 Multiply

114

Answer:

114

Step-by-step explanation:

Take the number of miles and multiply by the cost per mile

600*.19

114

Anderson could provide 0.5x2 + 4x + 8 = 0 has exactly one real root if the discriminant is 0,

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

A polynomial's discriminant is a quantity that depends on the coefficients and enables for some root attributes to be inferred without actually computing them. It is actually a polynomial function of the original polynomial's coefficients.

0.5x^2 + 4x + 8 = 0

The discriminant is computed utilizing:

d = b^2 - 4ac

Thus, we have:

d = 4^2 - 4 * 0.5 * 8

Evaluate

d = 0

The equation has only one real root since the discriminant is 0,

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The amount borrowed at 3% was $498,980, the amount borrowed at 4% was $1000, and the amount borrowed at 5% was $20.

To solve this system using matrices, we can set up a matrix equation and use matrix operations to solve for the unknown amounts borrowed at each rate.

Let x = amount borrowed at 3%
y = amount borrowed at 4%
z = amount borrowed at 5%

The system of equations can be written as:

x + y + z = 500,000
0.03x + 0.04y + 0.05z = 20,500
y = 2.5x

We can write this system as a matrix equation:

[1 1 1] [x] = [500,000]
[0.03 0.04 0.05] [y] = [20,500]
[0 2.5 -1] [z] = [0]

We can use matrix operations to solve for x, y, and z. First, we can use row operations to get the matrix in reduced row echelon form:

[1 1 1] [x] = [500,000]
[0 1 -25] [y] = [500]
[0 0 62.5] [z] = [1250]

Then, we can solve for z by dividing the third equation by 62.5:

z = 1250/62.5 = 20

Next, we can substitute z back into the second equation to solve for y:

y - 25(20) = 500
y = 500 + 500 = 1000

Finally, we can substitute y and z back into the first equation to solve for x:

x + 1000 + 20 = 500,000
x = 500,000 - 1020 = 498,980
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Based on the scatterplots provided, the answer would be A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.

In the scatterplots of log(weeks) against log(stock price), we can see that the relationship between the two variables is not linear, but rather appears to be curved. This suggests that a power model may be more appropriate, since this type of model can capture non-linear relationships.

A linear model is not suitable in this case, as the relationship between weeks and stock price does not appear to be linear. While the scatterplot of weeks against log(stock price) shows a strong linear relationship, this plot is not as appropriate for estimating the stock price as the plot of log(weeks) against log(stock price).

An exponential model may also be appropriate for capturing non-linear relationships, but the plot of weeks against log(stock price) does not show a strong linear relationship, so it is less appropriate than the plot of log(weeks) against log(stock price).

Overall, based on the provided scatterplots, a power model is the most suitable for estimating the stock price.

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Based on the scatterplots, which type of model is most suitable for estimating the stock price?

A. A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.

B. A linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.

C. An exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship.

D. An exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship.

Answer:

1 and 2

Step-by-step explanation:

Answer:

$400.55 (to the nearest cent)

Step-by-step explanation:

she paid

= 404.6 x 0.99

= 400.554

= $400.55 (to the nearest cent)

hope this helps!

Answer:

$ 400.554

Step-by-step explanation:

Let the unknown price be x.

      1 ft²   ⇒ $ 0.99

404.6 ft² ⇒ x

Let us use cross multiplication to find the value of x.

0.99 × 404.6 = 1 × x

400.554 = x

Therfore, she'll pay $ 400.554 for 404.6 ft²

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

56 meters

Step-by-step explanation:

12 = Short

32 = Long

12 + 12 + 32 = 56

Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

Answer: 1 half

Step-by-step explanation:

On solving the equation Ý = 140 + (-0.0667)X, the value for blood pressure is obtained as 129.328 mm Hg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation is given as Ý = 140 + (-0.0667)X.

An amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg.

Here the value of X is X = 160.

The predicted blood pressure will be -

Ý = 140 + (-0.0667)160

Ý = 140 - 10.672

Ý = 129.328

The predicted blood pressure value is 129.328 mm Hg.

Here the predicted blood pressure value 129.328 mm Hg is greater than the actual blood pressure value 127.74 mm Hg.

Therefore, the observed value will be below the regression line.

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Answer:

64 pi  mi^2 or approximately 200.96 mi^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A= pi (8)^2

A = 64 pi mi^2

If we approximate pi by 3.14

A = 64 (3.14)

A =200.96 mi^2

Answer:

132 miles

Step-by-step explanation:

1 1/2 + 1/2 = 3/2 x 2/1

6/2 = 3 hours

44 x 3 = 132 miles

Answer: 132 miles

Using sampling concepts, the representative sample is given as follows:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

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Answer: 11.78

Step-by-step explanation:

The probability that a randomly selected teacher's salary is greater than $37,300 is approximately 0.3586.

To find the probability that a randomly selected teacher's salary is greater than $37,300, we can use the standard normal distribution and the Z-score formula: Z = (X - μ) / σ, where X is the value we're interested in, μ is the mean, and σ is the standard deviation. Given: X = $37,300; μ = $35,441; σ = $5100. First, we calculate the Z-score: Z = (37,300 - 35,441) / 5100; Z ≈ 0.364. Next, we need to find the probability corresponding to this Z-score using a standard normal distribution table or calculator.

The probability of a Z-score greater than 0.364 can be found as: P(Z > 0.364) = 1 - P(Z ≤ 0.364). Using the table or calculator, we find the probability to be approximately 0.3586. Therefore, the probability that a randomly selected teacher's salary is greater than $37,300 is approximately 0.3586.

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a)0.1587 (or 15.87%)

b)0.6827 (or 68.27%)

c)0.0228 (or 2.28%)

1. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height less than 63 inches is 0.1587 (or 15.87%).

2. Using the Normal Distribution formula with a mean (μ) of 64 inches and standard deviation (σ) of 10 inches, the probability of randomly selecting a female college student with a height between 61 and 69 inches is 0.6827 (or 68.27%).

3. Using the Central Limit Theorem, the probability of finding an average of greater than 65 inches with a sample of 35 female college students is 0.0228 (or 2.28%).

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Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766

Step-by-step explanation:

Answer:

Isosceles Triangle

Step-by-step explanation:

Triangle ABC has vertices A(-5, -1), B(5, -1), and C(0, -4). Is it scalene, isosceles or equilateral?

We solve this question using vertices formula:

√(x2 - x1)² + (y2 - y1)² when given vertices: (x1, y1) and (x2 , y2)

For Side AB

A(-5, -1), B(5, -1)

AB = √(5 - (-5))² + (-1 -(-1))²

AB= √(5 + 5)² + (-1 + 1)²

AB = √10² + 0

AB = √100

AB = 10 units

For Side BC

B(5, -1), C(0, -4)

BC = √(0 - 5)² + (-4 -(-1))²

BC = √-5² + (-4 + 1)²

BC = √25 + -3²

BC = √25 + 9

BC = √34

For Side AC

A(-5, -1), C(0, -4).

AC = √(0 - (-5))² + (-4 - (- 1)²

AC = √5² + -3²

AC = √25 + 9

AC = √34

Therefore this triangle is an isosceles triangle because 2 of its sides (AC and BC ) are equal to one another

Answer:

62.50

Step-by-step explanation:

2500 times 2.5% = 62.50

BRAINLIEST PLEASE

Greetings from Brasil...

We know that

V = L³  ⇒  L = ∛V

and

dV/dt = 3cm³/s   (volume rate as a function of time)

Let

dL/dV = L' = 1/(3∛V²)    

We need dL/dt (side rate as a function of time), so

(dV/dt) . (dL/dV) = dL/dt

then

dL/dt = 3 . [1/(3∛V²)]

In that week, her earnings would be

= $220 + 5% * $12,650

= $220 + $632.50

= $852.50

The future value of investment is $560.30, and interest gained in 4 years is 136.8%

The interest regarding loan or investment that increases exponentially with respect to time is called compound interest.

We use compound interest so as to enhance our investment in a large scale.

Given, Amount invested, P= $500

compound interest rate, r= 2.85%

number of time period, t = 4 years

number of times interest applied per time period, n =12 (as interest compound monthly)

Final amount, A

we used compound interest formula, A= P(1+r/n)∧nt

                  A= 500(1+0.0285/12) ∧12×4

          Final amount, A= $560.30

The future value = $560.30

Interested gained in 4 years with compound monthly =2.85x12x4 =136.8%

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Answer:

the answer would be 160H

The cost of a job that lasts 1.5 hours is  $ 192.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The charge of each job by the plumbing company = $ 95

The charge on each hour for each job = $ 65

The equation for the cost of a job is = 65h + 95

where h is the number of hours for the job

Now , to calculate the cost of job that lasts 1.5 hours ,

substitute the value of h as 1.5

And , the equation becomes

= 65h + 95

= 65 ( 1.5 ) + 95

= 97.5 + 95

= $ 192.5

Hence , the cost of a job that lasts 1.5 hours is  $ 192.5

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Answer:

The large box is 3 times larger than the medium box.

The large box is 6 times larger than the smaller box.

The medium box is 2 times larger than the smaller box.