Evaluate.
Remember (PEMDAS) please help if you do ilysm <33

100 divided by 5 x (4 + 2)

Answer:

66/7 or 9.429 or 9  \(\frac{3}{7}\)

Step-by-step explanation:

6/7=x/11

Multiply by 11 to get x alone

Multiply (6/7) by 11 to get 9.42857143=x

The mathematical measure of standard deviation is essential for risk managers as it helps quantify the dispersion or variability of data, enabling them to assess and manage potential risks effectively.

Standard deviation is a statistical tool used to measure the amount of variation or dispersion in a set of data points. In the context of risk management, standard deviation provides a measure of how much an investment's returns deviate from its average return. This information is crucial for risk managers as it helps them assess the volatility and uncertainty associated with an investment or portfolio.

By analyzing the standard deviation, risk managers can gain insights into the potential risks and fluctuations in returns, allowing them to make informed decisions regarding asset allocation, risk tolerance, and hedging strategies. Furthermore, standard deviation enables risk managers to compare and evaluate different investments based on their level of risk, supporting the process of portfolio diversification and risk mitigation.

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Answer:

see explanation

Step-by-step explanation:

Assuming the dilatation is centred at the origin.

Then multiply the coordinates of each point by the scale factor, that is

(- 2, 3 ) → (- 2(2), 3(2) ) → (- 4, 6 )

(3, 4 ) → (3(2), 4(2)) → (6, 8 )

(4, - 1 ) → (4(2), - 1(2)) → (8, - 2 )

N 7

Part A

In a direct variation

k=y/x

take one point from the graph

(2,4)

k=4/2

Part B

In a direct variation, the equation is

y=kx

we have

k=2

therefore

If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.

Answer:

-8 ÷ 1

8 ÷ -1

-16 ÷ 2

Answer:

true

Step-by-step explanation:

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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The rate of change of the area of circle with respect to radius is: 8π.

The rate at which one quantity changes in relation to another quantity is known as the rate of change of a function.

Now,

Area of a circle having radius (=r) is given by: A = πr²

The rate of change of area of the circle will then be given by:

\(\frac{dA}{dr}=\pi \frac{d}{dr}(r^{2})=2\pi(r)\)​

For r = 4, \(\frac{dA}{dr}=2\pi(4)=8\pi\)

Hence, the rate of change of area of the circle when the radius is 8π.

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Answer:

number of gallons of water the family will use every morning = 50  gallons

Step-by-step explanation:

Every minutes 2.5 gallons of water flows from the shower . The amount of water disperse by the shower for every 1 minutes is 2.5 gallons. The family using the shower are 4 in numbers . And each of them spend on average of  5 minutes showering .

Let us find how many gallons of water will flow for 5 minutes since family member spent an average of 5 minutes bathing every morning/. Therefore,

2.5 gallons  = 1 minutes

? gallons  =  5 minutes

cross multiply

number of gallons of  water each family member uses every morning = 2.5 × 5 = 12.5 gallons

They are 4 family members in number since each person uses 12.5 gallons of water , 4 of them will use 4 × 12.5 = 50  gallons

Answer: $56.25

Step-by-step explanation:

First, I'm going to assume that she makes 25% profit on the selling price.

Set the cost of the shirt as x. Profit is calculated as selling price - cost. Profit is stated to be 25% or \(\frac{1}{4}\), so an equation can be set up as:

\(\frac{1}{4} *75=75-cost\\\\cost = 75-\frac{1}{4} *75=56.25\)

Answer:

45 degrees, considering the angle as either equilateral or right would also work.

Answer:

\(\large \boxed{(-1,-6),(-1,10)}\)

Step-by-step explanation:

Point A must be on a circle with centre at (5,2) and radius 10.

The centre-radius form for the  equation of a circle is  

(x – h)² + (y – k)² = r², where

(h,k) = the coordinates of the centre and

     r = the radius

Thus, the equation for this circle is

(x - 5)² + ( y - 2)² = 10²

Substitute the value for x and solve for  y:

\(\begin{array}{rcl}\\(x - 5)^{2} +( y - 2)^{2} &=& 10^{2}\\(-1 - 5)^{2} +( y - 2)^{2} &=& 100\\(-6)^{2} +( y - 2)^{2} &=& 100\\36 +( y - 2)^{2} &=& 100\\( y - 2)^{2} &=& 64\\y - 2 = -8 & \qquad & y - 2 = 8\\y = \mathbf{-6} & \qquad & y = \mathbf{10}\\\end{array}\\\text{The possible coordinates of A are $\large \boxed{\mathbf{(-1,-6),(-1,10)}}$}\)

The figure below shows the circle intersecting the line x = -1 at (-1,-6) and (-1,10).

True. The O-H stretch of a concentrated solution of an alcohol occurs at a lower frequency than the O-H stretch of a dilute solution due to increased hydrogen bonding in the concentrated solution.

The O-H stretch of a concentrated solution of an alcohol occurs at a lower frequency than the O-H stretch of a dilute solution due to intermolecular interactions in the concentrated solution that affect the bonding vibrations.

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False.

The O-H stretch of a concentrated solution of an alcohol occurs at a higher frequency than the O-H stretch of a dilute solution.

In a concentrated solution, the presence of more alcohol molecules results in stronger hydrogen bonding interactions between the alcohol molecules. These stronger interactions lead to a higher bond strength and a higher vibrational frequency, resulting in a higher frequency for the O-H stretch. In a dilute solution, there are fewer alcohol molecules and weaker hydrogen bonding interactions, resulting in a lower bond strength and a lower vibrational frequency, leading to a lower frequency for the O-H stretch.

what is frequency?

Frequency refers to the number of occurrences of a repeating event per unit of time. In the context of waves and vibrations, frequency specifically refers to the number of complete cycles or oscillations of a wave that occur in one second. It is measured in units of hertz (Hz), where one hertz represents one cycle per second.

In simpler terms, frequency describes how often a wave or oscillation repeats within a given time period. A higher frequency means more cycles occur in a given time, while a lower frequency means fewer cycles occur within the same time frame. Frequency is an important property in various fields, including physics, engineering, telecommunications, and music, as it helps characterize and differentiate different types of waves and vibrations.

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The 90 percent confidence interval for the difference between the population proportions of adults within each age group who would use an online dating service is approximately (0.0062, 0.0742).

Given the information from the problem, the first sample had 240 adults over the age of 40 with 144 who would use an online dating service. The second sample had 234 adults age 40 and under with 131 who would use an online dating service.

Calculating the sample proportions:

p1 = 144 / 240 = 0.6

p2 = 131 / 234 = 0.5598 (rounded to four decimal places)

Substituting these values and the sample sizes into the standard error formula, we get:

Standard Error = √[(0.6 * (1 - 0.6) / 240) + (0.5598 * (1 - 0.5598) / 234)]

Evaluating this expression, we find that the standard error is approximately 0.0207 (rounded to four decimal places).

For a 90 percent confidence level, the critical value is approximately 1.645 (obtained from the standard normal distribution table or statistical software).

Finally, we can calculate the margin of error by multiplying the standard error by the critical value:

Margin of Error = Standard Error * Critical Value

= 0.0207 * 1.645

= 0.0340 (rounded to four decimal places)

To construct the confidence interval, we need to find the range within which we are confident that the true difference in proportions lies. We do this by adding and subtracting the margin of error from the estimated difference in proportions.

In this case, the estimated difference in proportions is p1 - p2, which is 0.6 - 0.5598 = 0.0402 (rounded to four decimal places).

Confidence Interval = (p1 - p2) ± Margin of Error

= 0.0402 ± 0.0340

= (0.0062, 0.0742)

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Answer:

slope = undefined

Step-by-step explanation:

To find the slope of a line that passes between two points, use the slope formula, \(m = \frac{y_2-y_1}{x_2-x_1}\). Substitute the x and y values of (-4, 6) and (-4,-2) into the formula and simplify like so:

\(m = \frac{(-2)-(6)}{(-4)-(-4)}\\m= \frac{-2-6}{-4+4} \\m = \frac{-8}{0}\)  

However, we can't divide by zero. This must mean that the slope of this line is undefined.

Store the 5 digit number in a register.

Store the 3 digit number in another register.

Subtract the 3 digit number from the 5 digit number.

Store the result in a third register.

Print the result.

The first step is to store the 5 digit number in a register. This can be done using the mov instruction. For example, to store the number 12345 in the register ax, you would use the following instruction:

mov ax, 12345

The next step is to store the 3 digit number in another register. This can also be done using the mov instruction. For example, to store the number 678 in the register bx, you would use the following instruction:

mov bx, 678

Once the two numbers are stored in registers, you can subtract them using the sub instruction. For example, to subtract the number in bx from the number in ax, you would use the following instruction:

sub ax, bx

The result of the subtraction will be stored in the register ax. You can then store the result in a third register, or you can print it directly. To print the result, you can use the mov instruction to move the result to the dx register, and then use the int 21h instruction to print it.

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Store the 5 digit number in a register.

Store the 3 digit number in another register.

Subtract the 3 digit number from the 5 digit number.

Store the result in a third register.

Print the result.

The first step is to store the 5 digit number in a register. This can be done using the mov instruction. For example, to store the number 12345 in the register ax, you would use the following instruction:

mov ax, 12345

The next step is to store the 3 digit number in another register. This can also be done using the mov instruction. For example, to store the number 678 in the register bx, you would use the following instruction:

mov bx, 678

Once the two numbers are stored in registers, you can subtract them using the sub instruction. For example, to subtract the number in bx from the number in ax, you would use the following instruction:

sub ax, bx

The result of the subtraction will be stored in the register ax. You can then store the result in a third register, or you can print it directly. To print the result, you can use the mov instruction to move the result to the dx register, and then use the int 21h instruction to print it.

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Answer:

He needs to learn the disciplinary principal

Step-by-step explanation:

The principal is necessary to generate this amount of monthly income is $497.

Given that, Jack wants to retire with $1,000 per month.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(Amount=Principal(1+\frac{R}{100})^{nt}\)

⇒ 1000 =P\((1+0.06)^{12}\)

⇒ 1000=P×2.012

⇒ P=1000/2.012

⇒ P=$497

Hence, the principal is necessary to generate this amount of monthly income is $497.

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Answer:

35

Step-by-step explanation:

Answer:

The answer is d < 3120.

Step-by-step explanation:

A. The number of red balls he had was 8  at the beginning.

Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.

After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.

This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.

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Options aren't avaible

Answer:

(1 ÷ 1/6) * 6

36 pieces of pizza

Step-by-step explanation:

Given that :

Number of pizzas ordered = 6

Divisions per pizza = 1/6 ;

Hence, 1 full pizza is divided into 1 ÷ 1/6 = 1 * 6/1 = 6 pieces

6 * 1/6(1)

The total pieces of pizzas equals :

6 pieces per pizza * number of pizzas

6 * 6

= 36 pieces of pizza

Answer:

1887.6 ft³

Step-by-step explanation:

What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?

The formula for the volume of a cylinder is given as:

πr²h

From the above question,

r = 9.4 ft

h = 6.8 ft

The volume of the cylinder =

π × 9.4² × 6.8

= 1887.61966 ft³

Approximately = 1887.6 ft³

Answer

45 dolloar

Step-by-step explanation:

The declaration states that the value of Arc EFC = 253°.

A measure is indeed a quantitative concept used to express how large a collection is. Each unique measure represents a different method for determining how large a collection is. It would initially appear that a set's cardinality is the only logical way to determine its number.

We can tell we are working with a circular that has 360 degrees because of the connection.

We can infer that we have it if we look at that file.

Arc EFC

Arc CD

Arc DE

And everything together give us 360,

Arc EFC + Arc CD + Arc DE = 360

If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Therefore, Arc EFC = 253°

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The correct questions is:

Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year