What is the approximate area of a circle show below?

Answer:

100 liters of  10% solution is used and 20 liters of  40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

\(0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100\)liters

Amount of 40% solution used  = 120 -X = 120-100 = 20 liters

100 liters of  10% solution is used and 20 liters of  40% solution is used

By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.

Here we have the polynomial:

f(x) = (x - 2)*(x + 4)*(x + 5).

You can see that the roots of the polynomial are at:

x = 2

x = -4

x = -5.

Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.

f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40

With this, we can conclude that the sign of f(x) on the given interval is negative.

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Answer:

always negative

Step-by-step explanation:

The restriction on x when x³ - 4x² + 5x - 6 is divided by x - 1 is x = 1.

When we divide x³ - 4x² + 5x - 6 by x - 1, we perform polynomial long division or synthetic division to find the quotient and remainder.

In this case, the remainder is zero, indicating that (x - 1) is a factor of the polynomial.

To find the restriction on x, we set the divisor, x - 1, equal to zero and solve for x.

Therefore, x - 1 = 0, which gives us x = 1.

Hence, the value of x that satisfies the restriction when x³ - 4x² + 5x - 6 is divided by x - 1 is x = 1.

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Given:

A figure of a right angle triangle.

To find:

The value of Tan R.

Solution:

Trigonometric Ratio: In a right angle triangle,

\(\tan \theta =\dfrac{Perpendicular}{Base}\)

Using the above trigonometric ratio in the given triangle, we get

\(Tan R =\dfrac{AD}{AR}\)

\(Tan R =\dfrac{13}{17}\)

Therefore, the correct option is C.

Answer:

a < -11

Step-by-step explanation:

Subtract 18 from both sides.

a + 18 - 18 < 7 - 18

= a < -11

============================================

Explanation:

"Bisect" means to cut in half

M is the midpoint as it cuts segment ST in half

SM and MT are the same length

SM = MT

2x+3 = 4x-7

2x-4x = -7-3

-2x = -10

x = -10/(-2)

x = 5

----------

If x = 5, then

SM = 2x+3 = 2(5)+3 = 10+3 = 13

MT = 4x-7 = 4(5)-7 = 20-7 = 13

Both SM and MT are the same length (13 units). This confirms the answer.

Answer:

trapezoid and half circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the equation of yours is wrong. the equation would be y=1/3x.

Step-by-step explanation:

here's the graph. hope it helps.

You have the following function:

In order to determine the intervals, it is necessary to calculate the first derivative of the function, equal it to zero, and identify the zeros of the equation, just as follow:

the zeros of the previous equation are:

Next, it is necessry if the previous values are minima or maxima. Evaluate the second derivative for the previous values of x. If the result is greater than 0, then, it is a minimum. If the result is lower than zero, it is a maximum:

Then, for x=0 there is a maximum, and for x=-√3 and x=√3 there is a minimum.

Hence, until x = -√3 the function decreases. In between x=-√3 and x=0 the function increases. In between x=0 and x=√3 the function decreases and from x=√3 the function increases.

Furthermore, it is necessary to find the inflection points. Equal the second derivative to zero and solve for x:

then for x=1 and x=-1 there are inflection points.

The interval where the function is concave up is:

(-∞ , -1) U (1, ∞)

The interval where the function is concave down is:

(-1,1)

Answer:

$150

Step-by-step explanation:

Costo de 2 cajas de pastillas = $ 320

Costo de la solicitud y tarifa de revisión = x

La ecuación se da como:

320 + x = 470

x = 470 - 320

x = 150

El costo de la solicitud y la tarifa de revisión = $ 150

Answer:

Step-by-step explanation:

Expression

And

The amount is

Answer:

$661.25

Step-by-step explanation:

25(16) + 15(8) + 141.25

400 + 120 + 141.25

520 + 141.25

661.25

Best of Luck!

Answer:

15 1/12 feet

Step-by-step explanation:

Well if he descended 8 1/3 feet below the water, that means he must've went from board to water which is 6 3/4 feet then down 8 1/3 feet

6 3/4 + 8 1/3

= 6 9/12 + 8 4/12

=15 1/12 feet

The monthly payment on the loan, given the financing term, is $394.50.

The monthly payment on the lease, given depreciation and rate is $398.23.

The option most affordable to the student is therefore the loan option.

To determine the monthly payment on a loan for the bike, we can use the following formula for monthly payments on a loan:

P = (PV × r × (1 + r)^n) / ((1 + r)^n - 1)

P = (13,000 × 0.004917 × (1 + 0.004917)^36) / ((1 + 0.004917)^36 - 1)

P = $394.50

To determine the monthly payment on a lease for 24 months, we first need to find the total depreciation amount:

Total depreciation = $13,000 × 15% per year × 2 years = $13,000 × 0.15 × 2 = $3,900

Use the same formula for monthly payments on a loan as before:

r = monthly interest rate = APR / 12 = 4.1% / 12 = 0.041 / 12 = 0.003417

n = number of monthly payments = 24

P = (9,100 × 0.003417 × (1 + 0.003417)^24) / ((1 + 0.003417)^24 - 1)

P = $398.23

The loan option is more affordable for the student with a monthly payment of approximately $394.50 compared to the lease option at $398.23 per month.

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Answer:

It is not Answer A for sure just got it wrong on the Test.

Step-by-step explanation:

Cannot tell you what the real answer is but have narrowed it down to 3.

DO NOT PICK HAVE SAME MIDPOINTS.

Answer:

The answer is A.

Step-by-step explanation:

I took the test and it was correct.

Answer:

x ≤ -4

Step-by-step explanation:

There is a closed circle at -4, which requires and equals sign

The line goes to the left, which is less than

x ≤ -4

Answer:

51

Step-by-step explanation:

Answer:

The latus rectum of a conic section is the chord through a focus parallel to the conic section directrix (Coxeter 1969). "Latus rectum" is a compound of the Latin latus, meaning "side," and rectum, meaning "straight." Half the latus rectum is called the semilatus rectum.

Step-by-step explanation:

Find the length of the latus rectum whose parabola equation is given as, y2 = 12x. Hence, the length of the latus rectum of a parabola is = 4a = 4(3) =12.

Answer: 32

Step-by-step explanation: 480 divided by 15

It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total area square footage.

According to national standards, a pool house may be included in total square footage if it meets certain criteria. Firstly, the pool house must have a permanent foundation and be heated and cooled to the same extent as the main house.

Additionally, the pool house must have finished living space that is connected to the main house by a covered walkway or enclosed breezeway. This living space may include a bathroom, bedroom, or kitchen.

However, it is important to note that some appraisers and real estate agents may not include the pool house in the total square footage if it is not considered "livable space" or if it is primarily used for storage or pool equipment. Ultimately, the decision to include the pool house in total square footage may vary depending on local real estate practices and regulations.

It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total square footage.

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a. The chi-square statistic is not significant at the α level of .01.

b. The chi-square statistic is significant at the α level of .05.

a. With a chi-square statistic of 3.86 and a critical value of 6.63 at α level of .01, we can compare the two values.

Since 3.86 < 6.63, this means that the chi-square statistic is not significant at the α level of .01.

In other words, the result is not statistically significant and we fail to reject the null hypothesis.

b. With a chi-square statistic of 67.81 and a critical value of 3.84 at α level of .05, we can again compare the two values.

Since 67.81 > 3.84, this means that the chi-square statistic is significant at the α level of .05.

In other words, the result is statistically significant and we reject the null hypothesis.

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Answer:

Step-by-step explanation:

boody boody

The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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The tank with the smallest surface area has dimensions of 6ft.

s = 12ft and h = 6ft.

A(s) = s² + 4 × (V ÷ s)

The rectangular tank has a capacity of 864 feet.

Let the square base's long sides be.

Let h represent the tank's height.

Let A represent the tank's whole area.

A = (Base Area) + (4 × Lateral Area)

Lateral Area = s × h

Lateral Area = s × (V ÷ s²)

Lateral Area = (V ÷ s)

Base Area = s²

Compared to the objective function,

A(s) = s² + 4 × (V ÷ s)

A(s) = s² + 4 × (864 ÷ s)

The area function's derivative,

A'(s) = 2s - (3456 ÷ s²)

The smallest surface area is now.

A'(s) = 0

2s - (3456 ÷ s²) = 0

2 × \(s^{3}\) = 3456

\(s^{3}\) = 3456

s = \(\sqrt[3]{3456}\)

s = 12ft

The volume is,

V = s² × h

864 = 12² × h

h = 6ft

As a result, the tank's height is 6 feet, and the square base's long sides measure 12 feet.

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The question is -

A rectangular tank with a square​ base, an open​ top, and a volume of 864 ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function.

Hence the assignments (I) and (III) makes the free throw of trhe basketball player appropriate.

The player makes 2/3 of the free throws made.

Probability that a free throw is made = 2/3

Now let us take each option to find the required probabilities.

I) free throw made = {0,1} = 2

free throw missed = {2} = 1

Sample space ={1,2,3} = 3

Requires probability = 2/3

Hence this assignment makes the free throw appropriate.

II) free throw made = {01,02,03,04,05,06,07,08} = 6

free throw missed = {5,6} = 2

Sample space ={01,02,03,04,05,06,07,08,5,6} = 8

Required probability = 6/8 = 3/4 ≠ 2/3

Hence this assignment does not make the free throw appropriate.

III)  free throw made = {1,2,3,4} = 4

free throw missed = {5,6} = 2

Sample space ={1,2,3,4,5,6} = 6

Required probability = 4/6 = 2/3

Hence this assignment makes the free throw appropriate.

Disclaimer: The complete question is :

A basketball player makes about 2/3 of his free throws. To simulate the single free throw, which of these following assignments of the given digits to making a free throw is appropriate?

I) 0 and 1 correspond to making a free throw and only 2 corresponds to missing the free throw.

II) 01, 02, 03, 04, 05, 06, 07, and 08 correspond to making the free throw while 5 and 6 correspond to missing the free throw.

III) Use a 6 sided die to let 1, 2, 3, 4 correspond to making the free throw while 5 and 6 correspond to missing the free throw.

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120 ways can the letters in the word spoon be arranged. So, The correct option is d) 120.

The word "spoon" has five letters, and we need to find the number of ways to arrange these letters. This can be done using the permutation formula, which is n!/(n-r)!, where n is the total number of items and r is the number of items being selected. In this case, we have five items and we need to arrange all of them, so r = 5. Therefore, the number of arrangements is 5!/(5-5)! = 5!/0! = 5x4x3x2x1 = 120.

To understand this concept better, consider that the first letter of "spoon" can be any of the five letters. Once we choose a letter for the first position, there are four letters left to choose from for the second position, three for the third position, two for the fourth position, and only one letter left for the fifth position. Multiplying these numbers gives us the total number of arrangements. Therefore, there are 120 ways to arrange the letters in the word "spoon". So the correct answer is d) 120.

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Answer: -50

Step-by-step explanation:

It’s ángle GFN=4x+10,angle NFE= 14x+3,and angle GFE =157. Find ángel NFE. GFN = 4(-15)+ 10= -50 degrees.