Can someone please help explain how to do this. I’ll give you Brainliest

Answer:

when x is any real number

Step-by-step explanation:

commutative property

if you solve using subsitution, the point form would be (2,1) and the equation form = 2, y=1

Answer:

x = -2

y = -23

(x, y) --> ( -2, -23)

Step-by-step explanation:

y = 6x - 11

-2x - 3y = -7

***What you need to do is substitute the "y" with what has been given to us which is "6x - 11"***

-2x - 3(6x - 11) = -7

Now what you need to do, is use the distributive property (multiply what is in the parenthesis "6x - 11" by what is outside of it "3").

-3 × 6x and -3 × -11

-18x and 33

Now we have......

-2x - 18x + 33 = -7

Now we can combine like terms (put the numbers that are the same together - variables with variables, and whole numbers with whole numbers)

-2x - 18x = -20x (2 negatives added together gives u a result of a bigger negative number)

-20x + 33 = -7

Now we need to subtract 33 on both sides

-20x + 33 - 33 = -7 - 33

-20x = -40

Now we need to divide by -20 on both sides to isolate the variable

-20x ÷ -20 = -40 ÷ 20

x = -2

Now that we have what "x" is, we can use that to find what "y" is....

y = 6x - 11

Substitute the "x" with the answer we got "-2".

y = 6(-2) - 11

y = -12 - 11

y = -23

x = -2

y = -23

Now we can check our work

y = 6x - 11

All we need to do is substitute the "x" and "y" with the answer we got above.

y = 6x - 11

-23 = 6(-2) - 11

-23 = -12 - 11

-23 = -23

CORRECT

So now that we checked our work, and saw that it was correct, I can hereby say that x is -2 and y is -23

x = -2

y = -23

(x, y) --> ( -2, -23)

Hope this helped!!!

The borrower would need to make payments of approximately $943.57 per year to pay off the loan in 5 years.

To determine the payment rate required to pay off the loan in 5 years, we can use the continuous compound interest formula:

A = P * \(e^{(rt)\),

where A is the final amount, P is the initial principal, e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate, and t is the time in years.

In this case, the initial principal is $6600, the annual interest rate is 10%, and the time is 5 years. We want to find the payment rate, so let's set A equal to zero, indicating that the loan is fully paid off:

0 = 6600 * \(e^{(0.10 * 5)\)- k * 5,

Simplifying the equation, we have:

\(e^{(0.5)\) = k / 6600.

Now, we can solve for k by multiplying both sides of the equation by 6600:

k = 6600 * \(e^{(0.5)\),

Using a calculator or software, we find that k is approximately $943.57 per year.

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a) The probability that the proportion of seriously delinquent loans has a rate above 8% is 0.9147 (rounded to 4 decimal places).

b) The probability that the proportion of seriously delinquent loans has a rate between 9.5% and 10.5% is 0.1186 (rounded to 4 decimal places).

a) We have given that the rate of seriously delinquent loans follow a normal distribution with a standard deviation of 0.80%.

Also, it is reported that the rate of seriously delinquent loans has an average of 9.1%. Let P be the proportion of seriously delinquent loans. We are to determine the probability that the proportion of seriously delinquent loans has a rate above 8%.

Now, we have to compute the Z-score associated with P = 8%.

The Z-score is given by:

Z = (P - µ) / σZ = (0.08 - 0.091) / 0.0080= -1.375

From the Z-table, we have

P(Z > -1.375) = 0.9147

b) We are to find the probability that the proportion of seriously delinquent loans has a rate between 9.5% and 10.5%.So, P(9.5% ≤ P ≤ 10.5%) = P(P ≤ 0.105) - P(P ≤ 0.095)

Now, we have to compute the Z-score associated with P = 10.5%.

The Z-score is given by:

Z = (P - µ) / σZ = (0.105 - 0.091) / 0.0080= 1.750 And, we have to compute the Z-score associated with P = 9.5%.The Z-score is given by:Z = (P - µ) / σZ = (0.095 - 0.091) / 0.0080= 0.500

So, from the Z-table, we have:

P(P ≤ 0.105) = 0.9599 and P(P ≤ 0.095) = 0.8413

Therefore, P(9.5% ≤ P ≤ 10.5%) = P(P ≤ 0.105) - P(P ≤ 0.095)= 0.9599 - 0.8413= 0.1186

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Answer:

The height of first tree is

[ 5.5+18tan(50 degrees) ] ft. This is approximately 26.95 ft.

Angle of elevation from Jimmy's eyes to top of tree is arctan([20+18tan(50 degrees)] /18). This is approximately 66.53 degrees.

Step-by-step explanation:

It would help you to draw a picture for both of these.

You have a person whose height is 5.5 ft and from there horizontal gaze they see a bird from a 50 degree angle of elevation. He is standing 18ft ftom the tree.

So we will first want to find the distance from his eyesight level to the top of the tree. We can do this using the tangent ratio since we have the opposite and adjacent measurements.

Let the distance from eyesight level to the top of the tree be r.

tan(50)=r/18

Multiply both sides by 18:

18tan(50)=r

Now the height of the tree is

[5.5+18tan(50 degrees)] ft.

Now if he is the middle of two trees, then he 18 ft from the 2nd tree.

Since he says the height is 20ft taller than the first tree then it's height is

[20+5.5+18tan(50 degrees)] ft.

Now since we want to find his angle of elevation to the top of the 2nd tree we need to take out his height given us the distance from his eyesight level to the top of the tree which is

[20+18tan(50 degrees)] ft..

So again we are using the tangent ratio.

Let this angle if elevation be P.

tan(P)=[20+18tan(50 degrees)] /18

Take arctan() of both sides:

P=arctan([20+18tan(50 degrees)] /18)

The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:

(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]

This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.

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Hello!

Let's identify the parts of all the algebraic expressions below.

Please remember that

#1:

4x+7y+8

Variables: x, y

Coefficients: 4, 7

Constant: 8

Number of Terms: 3

\(\rule{300}{1}\)

#2:

Variables: a, b, c

Coefficients: 9, 3

Constants: No constants here!

Number of terms: 3

\(\rule{300}{1}\)

#3:

Variables: d, x

Coefficients: 3, 1

Constant: 10

Number of terms: 3

_________________________________________

#4:

variables: x, y

coefficients: 2, 6

constant: 2

number of terms: 3

______________________________________

#5:

variables: b, c, d

coefficients: 8, -7, 11

constants: -5

number of terms: 4

________________________

#6:

variables: s, t

coefficients: 18, 2

constant: -8

number of terms: 3

Hope everything is clear.

Let me know if you have any questions!

#KeepOnLearning

:-)

Answer:

(2) The statement is true.

-1 < r < 1

The graph best represents a function with a domain of all real numbers greater than or equal to 1 and less than or equal to 2 are area between equation x + y \(\geq\) 1 and x + y \(\leq\) 2 .

The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers other than x=0.

The real numbers are all the numbers that make up the real number line, per definition. Thus, all real numbers can be graphed by simply drawing a number line. The number line is a graph of all real numbers since it contains all of the rational numbers.

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A ball dropped from a height of 10 m and bouncing vertically to 3/4 of the preceding height will travel a total distance of 40 meters if it is assumed to bounce infinitely often.

The ball is dropped from a height of 10 meters. Upon striking the ground, it bounces back to a height that is 3/4 (or 0.75) of the previous height. This means that after the first bounce, it reaches a height of 10 * 0.75 = 7.5 meters. After the second bounce, it reaches 7.5 * 0.75 = 5.625 meters, and so on.

To calculate the total distance covered by the ball, we need to sum up the distances traveled during each bounce. Each time the ball bounces, it covers a round trip from the drop point to the maximum height achieved. Therefore, the total distance traveled is twice the sum of the heights reached.

The formula to calculate the sum of an infinite geometric series is: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. In this case, the first term is 10 meters, and the common ratio is 0.75. Plugging these values into the formula, we get:

S = 10 / (1 - 0.75) = 10 / 0.25 = 40 meters.

Thus, the total distance covered by the ball, assuming infinite bounces, is 40 meters.

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In the present scenario, the angle of Θ= π terminates in the second quadrant, where the x-coordinate is negative and the y-coordinate is positive.

the terminal point (x, y) of Θ= π on the unit circle can be calculated with the help of the following steps:

Step 1: Firstly, let’s recall the unit circle, which is a circle having a radius of 1 unit, and it is centered at the origin of a coordinate plane.

Step 2: Draw the angle of Θ= π on the unit circle. We can see that this angle has been formed by rotating in the clockwise direction along the unit circle from its initial position on the positive x-axis.

Step 3: As we know that the terminal point (x, y) of an angle in standard position is given by (cos Θ, sin Θ). Therefore, we can apply this formula to calculate the coordinates of the terminal point for the given angle of Θ= π on the unit circle.

Here, cos π= -1 and sin π= 0. Thus, the coordinates of the terminal point are (-1, 0). Hence, the correct answer is (-1, 0).Note: The coordinates of the terminal point for an angle in standard position can be negative, positive, or zero, based on the quadrant in which the angle terminates.

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The distance the tip of the minute hand travels during 40 minutes is 81.64 cm

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position. Let's use the following illustration to grasp the notion of distance: Description of the distance.

The minute hand makes a circle in the space of one hour.

15 .2 cm is the circle's radius (r).

Circumference of a circular clock = 2π r = 2 x 3.14 x 15.2 = 94.2 cm

As a result, the minute hand's point travels 94.2 cm in an hour.

the distance the tip of the minute hand travels during 40 minutes is

40 minutes see a 6.28 cm movement of the tip.

40 minutes is 0.66 hrs =  94.2 - 6.28 = 81.64

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Answer:

-176

Step-by-step explanation:

Let x = -8

f(-8) = 11 (-8-24) / 2

         Simplify the parentheses

f(-8) = 11 ( -32)/2

        = 11 (-16)

        = 176

The rule states that

\((a^b)^c = a^{bc}\)

So, in your case, you have

\((9^{\frac{1}{2}})^2=9^{\frac{1}{2}\cdot 2}=9^1=9\)

Why not? Because it fails the vertical line test. Here it is possible to draw a single straight vertical line through more than one point on the curve. That's why choice D is not a function. Choices A,B,C are functions because it's impossible to draw a single vertical line through more than two points on the curve, and therefore we can say they pass the vertical line test.

Side note: choices B and C fail the horizontal line test, so these functions are not one-to-one.

These tasks involve analyzing various aspects of cost-volume-profit relationships, sensitivity to changes, and resource constraints to gain insights into the financial performance and operational efficiency of the company.

1) To prepare a contribution margin income statement, you need to classify the costs as variable or fixed and calculate the contribution margin for each product. Subtracting the total variable costs from the total sales revenue will yield the contribution margin, which can be used to determine the operating profit.

2) The weighted average contribution margin ratio can be calculated by dividing the total contribution margin by the total sales revenue. This ratio indicates the average contribution margin earned per dollar of sales.

3) The break-even point in sales dollars can be determined by dividing the total fixed costs by the contribution margin ratio. It represents the level of sales required to cover all costs and achieve a zero-profit position.

4) To earn an annual profit of $400,000, you would need to add this profit amount to the total fixed costs and divide the sum by the contribution margin ratio to find the required sales dollars.

5) By increasing or decreasing the plane sales price by 10 percent while keeping the total sales units constant, you can calculate the impact on the operating profit by multiplying the change in sales price by the total sales units and the contribution margin ratio.

6) If the sales mix shifts more towards the car product, the break-even point in units may decrease. This is because the car product has a lower labor hour requirement per unit compared to the other two products, potentially reducing the total fixed costs and contributing to a lower break-even point.

7) To optimize the use of limited labor hours, you would calculate the contribution margin per labor hour for each product by dividing the contribution margin by the labor hours required per unit. This information can guide decision-making on the allocation of labor hours to maximize profitability.

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Answer:

10 m

Step-by-step explanation:

x2 + 242 = 262

x2 + 576 = 676

x2 = 100

x = 10

The chord is 10 m from the center of the circle.

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

54 feet tall

Step-by-step explanation:

12x4.5=54

Answer:

last one (number four):

1 < x < ∞

Answer:

Woody arrived  

27 -  9 =  18  minutes before Barbie did.

Step-by-step explanation:

When you are working with Distance=speed-time problems remember that if you know two of the values you can calculate the third one,

Barbie: She walks at a speed of  70  metres per minute.  

Woody: Cycles  3  times as fast:   →3 × 70 = 210 m/min

He cycled for  9  minutes.

210 m/min is his speed.

9  minutes is the time he took.

Distance  =  speed  ×  time

D  =  210  × 9   =  1890  metres,

Barbie: walked the same distance of  1890  metres

Her speed was  70  m/min

The time she took:  

Time= \(\frac{Distance}{Speed}\)

T i m e  =   \(\frac{1890}{70}\) =  27  minutes.

Woody arrived  27  −  9  =  18  minutes before Barbie did.

Step-by-step explanation:

8 + (22 + 15) = 8 + 37 = 45

To evaluate the expression, we must first perform the operations inside the parentheses. In this case, 22 + 15 = 37. Then we can add 8 to that result, which gives us 8 + 37 = 45. So the final value of the expression is 45.

Answer:

Using BODMAS, you are to solve the one in the bracket

22+15 which=37

then you add it to 8

37+8=45

Answer:

C.

Step-by-step explanation:

please mark me brainliest!!

Answer:

The answer is A

Step-by-step explanation:

Denominator *100* is higher

The preparation of the Sales section of the income statement for Blue Spruce Corp. is as follows:

BLUE SPRUCE CORP.

For the year ended October 31, 2022

Sales Revenue                         $908,400

Sales Returns and Allowances  (20,900)

Sales Discounts                           (14,700)

Net sales revenue                  $872,800

The net sales revenue represents the gross revenue minus sales returns and allowances and sales discounts.

In most jurisdictions, the sales discount account is reported on the income statement as a contra revenue account.  This implies that sales discounts are directly deducted from the gross sales and do not appear in the expense section nor the notes to the sales or revenue.

Sales Revenue $908,400

Freight-Out $12,600

Sales Returns and Allowances $20,900

Sales Discounts $14,700

Thus, the preparation of the sales section of the income statement for Blue Spruce Corp. shows a net sales revenue of $872,800.

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Answer:

answer is b). y = 100+ 0.05x

Step-by-step explanation:

Answer:

The slope of line d is 3/2 since the slopes of perpendicular lines are negative reciprocals of each other.

So the correct equation is

-2/3 × slope of d = -1

Answer:

3/2

Step-by-step explanation:

If a line is perpendicular to the other it's slope is the inverse reciprocal of the other slope

Answer:

7.6

Step-by-step explanation:

-3 multiple by y and -3 multiple by 2 resolve to 7.6....

The value of the limit of the function is -7 based on the given data.

The given function is: f(x) = -7x - 3, x = 4.

A function in mathematics is a relationship between two sets, usually referred to as the domain and the codomain. Each element from the domain set is paired with a distinct member from the codomain set. An input-output mapping is used to represent functions, with the input values serving as the arguments or independent variables and the output values serving as the function values or dependent variables.

Equations, graphs, and tables can all be used to describe functions, and they can also be defined using a variety of mathematical procedures and expressions. The basic importance of functions in mathematical analysis, modelling of real-world occurrences, and equation solving makes them an invaluable resource for comprehending and describing mathematical relationships.

We are required to calculate the following limit: $$\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}$$

The expression inside the limit is known as the difference quotient of f(x).

Substituting the values of x and f(x) in the given expression, we get:\($$\begin{aligned}\lim_{h \to 0} \frac{f(x+h) - f(x)}{h} &= \lim_{h \to 0} \frac{(-7(x+h) - 3) - (-7x - 3)}{h} \\&= \lim_{h \to 0} \frac{-7x - 7h - 3 + 7x + 3}{h} \\&= \lim_{h \to 0} \frac{-7h}{h}\end{aligned}$$\)

Simplifying the expression further, we get: \($$\begin{aligned}\lim_{h \to 0} \frac{-7h}{h} &= \lim_{h \to 0} -7 \\&= -7\end{aligned}$$\)

Hence, the value of the limit is -7.

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Answer:

-11°F

Step-by-step explanation:

The temperature was -4° in the morning. The temperature dropped 7° later.

Subtract 7 from -4.

\(-4-7=\boxed{-11}\)

The temperature should be -11°F.

Hope this helps.

The temperature was -4°F this morning. If the temperature dropped 7°F then the temperature now should be -11° fahrenheit.

We have got an equation that can relate these three units of measurement of temperature, as given below:

\(\dfrac{C}{5} = \dfrac{F - 32}{9} = \dfrac{K - 273}{5}\)

where C represents the measurement of a fixed temperature in celsius, F represents the measurement of that same intensity temperature in Fahrenheit, and also K represents the measurement of equally intense temperature in kelvin.

Given that the temperature was -4° in the morning. And the temperature dropped 7° later.

We have to Subtract 7 from -4.

-4 - 7 = 11

Thus, The temperature now should be -11°F.

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Answer:

=4.9×9

=44.1

hope it helps.

Answer:

44.1

Step-by-step explanation: