Find the slope of the lines graphed below

Find The Slope Of The Lines Graphed Below

Answers

Answer 1

Answer:

4/2x or y=4/2x

Step-by-step explanation: you can use rise over run to find the slope. It goes up 4, and right 2.


Related Questions

If g(x) = 3x is graphed on a coordinate plane, what is the y-intercept of the graph?
0
1
2
3

Answers

Answer:

0

Step-by-step explanation:

The equation is g(x) = 3x. The y-intercept occurs where x = 0, so to find the y-intercept, plug in a zero for x. g(x) = 3(0) = 0.

Answer:

0 is the answer

Step-by-step explanation:

plz give me the brainlyest

There are three general distribution patterns exhibited by individuals within a population. if Random distributions have a variance similar or equal to the mean it would depend on the species mobility a variance greater than the mean no variance a variance equal to the range 1. In mezsunatine experiments generally, pseudareplication is often a consequence of? munu small sample size and the increased likelihood of committing a type lerror numull sample size and the increased likelihood of committing a type II error the actual physical space over which samples are taken or measurements made being smaller or more restricted than the inference space implicit in the hypothesis being tested poon stratification of the sample obtained the type of samples that are taken or the measurements being made are inappropriate for the hypothesis being tested

Answers

In a random distribution, the variance is similar or equal to the mean. This is because the individuals in the population are randomly distributed, and there is no clear pattern to their distribution. The variance of a random distribution can depend on the species mobility, but it is not necessarily greater than the mean.

A random distribution is a type of distribution in which the individuals are randomly scattered throughout the population. There is no clear pattern to the distribution, and the individuals are not grouped together in any way. The variance of a random distribution is similar or equal to the mean because the individuals are evenly distributed throughout the population.

The variance of a random distribution can depend on the species mobility. For example, a species that is highly mobile, such as a bird, will have a larger variance than a species that is less mobile, such as a fish. This is because the mobile species is more likely to travel to different areas of the population, which will increase the variance of the distribution.

However, the variance of a random distribution is not always greater than the mean. For example, if the population is very small, the variance of the distribution may be less than the mean. This is because there are not enough individuals in the population to create a large variance.

In experimental design, pseudoreplication is often a consequence of:

Small sample size and the increased likelihood of committing a Type I error. When the sample size is small, it is more likely that the results of the experiment will be due to chance. This increases the likelihood of committing a Type I error, which is rejecting the null hypothesis when it is actually true.

The actual physical space over which samples are taken or measurements made being smaller or more restricted than the inference space implicit in the hypothesis being tested. This means that the samples or measurements are not representative of the entire population, which can lead to inaccurate results.

Pseudoreplication can also be caused by inadequate stratification of the sample, which means that the samples are not evenly distributed throughout the population. This can lead to biased results.

Finally, pseudoreplication can be caused by using the wrong type of samples or measurements for the hypothesis being tested. This can lead to results that are not relevant to the hypothesis.

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use the quotient rule to find the derrivatives of 3/x^2

With full process ​

Answers

Answer:

\(\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}\)

Step-by-step explanation:

We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².

Power Rule: \(\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1\)  

Rewrite \(\displaystyle \frac{3}{x^2}\) as \(\displaystyle 3\cdot \frac{1}{x^2}\) which is equivalent to \(3\cdot x^-^2\).

Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.

3(-2)x⁻³ = -6x⁻³

This can be rewritten as \(\displaystyle -\frac{6}{x^3}\).

Quotient Rule: \(\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}\)

Substituting 3 for f(x) and x² for g(x), we get:

\(\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}\)

Simplify.

\(\displaystyle \frac{-6x}{x^4}\)

Using exponent rules, we can rewrite this as:

\(-6x^1^-^4 = -6x^-^3\)

This can be rewritten as \(\displaystyle -\frac{6}{x^3}\), which is the same as what we got using the product rule.

Answer:

\(\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}\).

Step-by-step explanation:

Let \(f(x)\) and \(g(x)\) denote two functions of \(x\). Assume that \(g(x) \ne 0\). The quotient rule states that:

\(\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}\).

In this question:

The numerator of the fraction is \(f(x) = 3\) (a constant function.)The denominator of the fraction is \(g(x) = x^{2}\).

Find \({f}^{\prime}(x)\) and \({g}^{\prime}(x)\).

Notice that the value of \(f(x)\) is constantly \(3\) regardless of the value of \(x\). By the constant rule, \({f}^{\prime}(x) = 0\).

For \({g}^{\prime}(x)\), consider the power rule:

if \(m\) represents a rational number (such as \(2\),) then by the power rule, \(\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}\).

Apply this rule to find \({g}^{\prime}(x)\).

\(\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}\).

Substitute \(f(x) = 3\), \({f}^{\prime}(x) = 0\), \(g(x) = x^{2}\), and \({g}^{\prime}(x) = 2\, x\) into the quotient rule expression to find \(\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right]\):

\(\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}\).

Therefore, \(\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}\).

Given the following data and a 4-period weighted moving average. t At 1 131 2 131 3 111 4 120 5 149 Suppose the weights of the four periods are, 0.13, 0.18, 0.27 and X, for the OLDEST to NEWEST periods, respectively. The summation of all four weights is equal to 1. Compute the 4-period weighted moving average forecast in period 6. Enter your answer with ZERO Decimal Points.

Answers

The 4-period weighted moving average forecast in period 6 is 125.

Given the following data and 4-period weighted moving average.

The weights of the four periods are, 0.13, 0.18, 0.27, and X, for the OLDEST to NEWEST periods, respectively.

The summation of all four weights is equal to 1. Compute the 4-period weighted moving average forecast in period 6.

Entering the given data and X, the summation of all the weights should equal to 1.

0.13 + 0.18 + 0.27 + X = 1

⇒ 0.58 + X = 1

⇒ X = 1 − 0.58

⇒ X = 0.42

We can use the formula below to calculate the 4-period weighted moving average in period 6:

WMA_6$= (X6 × w1) + (X5 × w2) + (X4 × w3) + (X3 × w4)

WMA_6$= (149 × 0.13) + (120 × 0.18) + (111 × 0.27) + (131 × 0.42)

WMA_6$ = 19.37 + 21.60 + 29.97 + 55.02

WMA_6$ = 125

Therefore, the 4-period weighted moving average forecast in period 6 is 125.

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(03.05 LC)




Name the similar triangles





A. ΔABC ~ ΔDEF



B. ΔABC ~ ΔEFD



C. ΔABC ~ ΔDFE



D. ΔABC ~ ΔFED

Answers

Answer:

ΔABC ~ ΔEDF

Step-by-step explanation:

ΔABC ~ ΔEDF

Given:

∠A = ∠E

∠B = ∠D

So,

We say that;

∠C = ∠F

By AAA;

Rule

ΔABC ~ ΔEDF

(03.05 LC)Name the similar triangles A. ABC ~ DEFB. ABC ~ EFD C. ABC ~ DFED. ABC ~ FED

the denominator of a fraction is 4 more than the numerator. on subtracting 1 from each the numerator and the denominator, the fraction becomes 1/2. find the original fraction

Answers

Answer:

4/9

Step-by-step explanation:

5-1/5+4 is the right answer so yes

the denominator of a fraction is 4 more than the numerator. on subtracting 1 from each the numerator

Hace 5 años la edad de un joven era 1/3 de la edad del papá y dentro

de 5 años la edad del joven será 1/2 de la edad del papá. Si x es la edad

actual del joven y si y es la edad actual del papá. ¿Cuál es la edad actual

de cada uno?
Ya está es mi última pregunta si me ayudan seria estupendo ​

Answers

Answer:

respuesta el joven tiene 15 y el padre 30



Refer to the game ratings at the right. Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.

Given: If a title is rated E, then it has content that may be suitable for ages 6 and older. Cesar buys a computer game that he believes is suitable for his little sister, who is 7 .

Conclusion: The game Cesar purchased has a rating of E.

Answers

The conclusion is valid based on the given information.

According to the given information, if a title is rated E, it has content that may be suitable for ages 6 and older. Cesar buys a computer game believing it is suitable for his little sister, who is 7 years old.

Since the game is believed to be suitable for a 7-year-old, and the given condition states that an E-rated title is suitable for ages 6 and older, it can be concluded that the game Cesar purchased has a rating of E.

The given information establishes a clear connection between the game's rating and its suitability for ages 6 and older. Cesar's decision to purchase the game for his 7-year-old sister aligns with the condition that an E-rated title is appropriate for that age range. Therefore, the conclusion that the game Cesar purchased has a rating of E is valid based on the information provided.

It's important to note that the validity of the conclusion relies on the accuracy of Cesar's belief about the game's suitability for his sister. If Cesar is mistaken or misinformed about the game's content and age appropriateness, the conclusion may not hold true. However, based solely on the given information and the assumption that Cesar's belief is correct, the conclusion can be considered valid.

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Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
(a) The number of people in a restaurant that has a capacity of 100.
(b) The time it takes for a light bulb to burn out.

Answers

The number of people in a restaurant is a discrete random variable with possible values ranging from 0 to 100, while the time it takes for a light bulb to burn out is a continuous random variable with values spanning a non-negative real interval.

Let us now explain each sub-question in a detailed way:

(a) The number of people in a restaurant that has a capacity of 100 is a discrete random variable. This is because the possible values of the random variable are countable and distinct. The number of people in the restaurant can only take on whole number values from 0 to 100, inclusive. The values 0, 1, 2, ..., 100 represent the possible occupancy levels of the restaurant.

(b) The time it takes for a light bulb to burn out is a continuous random variable. This is because the possible values of the random variable form a continuous interval. The time it takes for a light bulb to burn out can theoretically range from a fraction of a second to infinity. It can take on any non-negative real value within this range. Therefore, the possible values of this random variable span a continuum rather than a countable set of distinct values.

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Mike had 180 blue and red pencils. He had 45 blue. What percentage of his pencils are red.

Answers

Answer:

First divide 180 by 45, 180/45=4. So 25% of his pencils are blue, which means 75% of his pencils are red.

The percentage of red pencils Mike had is 75%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mike had 180 blue and red pencils and 45 were blue.

So, The number of red pencils is,

= (180 - 45).

= 135.

Therefore, The percentage of red pencils is,

= (135/180)×100%.

= 75%.

Some other concept related to percentage is percentage change,  

The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,

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A circular cookie cake costs $12.56. If the diameter of the cookie cake is 8 inches, what is the approximate cost per square inch of the cookie cake? Use π = 3.14.
$0.04
$0.06
$0.16
$0.25

Answers

Answer:

Below

Step-by-step explanation:

You need the RADIUS to calculate area.....since diameter is 8, radius is 4 inches

Area = pi r^2

Cost per square inch =  price / area = $12.56 / ( 3.14 *4^2) =  $ 0.25 per in^2

The approximate cost per square inch of the cookie cake is $0.25

What is the cost per square area?

To know the total cost to cover an area, multiply the area with the cost per unit of area.

Given that, a circular cookie cake costs $12.56, the diameter of the cookie cake is 8 inches,

We need to determine that, what is the approximate cost per square inch of the cookie cake,

So, the area of the cake = π × radius² [diameter = 2 radius]

= 3.14 × 4²

= 50.24 in²

Since, the cost for the 50.24 in² of the cookie cake is $12.56,

So, the 1 in² of the cookie cake = $12.56 / 50.24 in²

= $0.25

Hence, the approximate cost per square inch of the cookie cake is $0.25

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The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w. Which of the following expressions represents the total cost of games after w weeks? (5 points)
1000 + 2000g
500 + 2000w
1000w + 2000wg
500 + 1000g + 2w

Answers

The expression that represents the total cost of games after w weeks is 1000w + 2000wg.

How to represent the expression of the total cost?

The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500 + 1000g. The number of games produced in w weeks is given by the function g(w) = 2w.

The expression that represents the total cost of games after w weeks can be represented as follows;

Therefore,

v(g) = 500 + 1000g

g(w) = 2w.

total cost = v(g) × g(w)

total cost = (500 + 1000g)2w

Therefore,

total cost = 1000w + 2000gw

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If 15% of a number is 60 and 65% of the same number is 260, find 50% of that number.​

Answers

Step-by-step explanation:

you can ask questions for clarification

If 15% of a number is 60 and 65% of the same number is 260, find 50% of that number.

50% of the number of 200.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number = x

15% of x = 60

(15/100)x = 60

x = (60 x 100)/15

x = 400

Now,

65/100 x 40

= 260

Now,

50% of 400

= 50/100 x 400

= 200

Thus,

200 is 50% of 400.

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A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair. Let X represent the number of times G occurs. Which of the following is the probability distribution, PX(x)? A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 33, 0. 33, 0. 33. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 75, 0. A 2-column table has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0, 0. 5, 0. 5.

Answers

The probability is the ratio of the favorable event to the total number of events. Then the correct option is A.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

A family has two children.

If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the children is S = {BB, BG, GB, GG}, with the oldest child listed first in each pair.

Let X represent the number of times G occurs.

The table will be

   X                P(X)

   0                0.25

   1                 0.50

   2                0.25

Then the correct option is A.

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A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ?

Answers

Answer:

volume= 502.4cm

Step-by-step explanation:

see attachment for detailed solution

A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in

Answer:

Step-by-step explanation:

Formulae for Volume = Pi x r2 x h

Pi = 3.14 or 314/100 because the radius is not a product of 7

Radius = 4 cm

Height = 10 cm

314/100 x 4 x 4 x 10 = 512.4 cm2

= 512.4 cm2

Please tell me if there congruent and the reason for congruence (SSS, ASA, etc)

Please tell me if there congruent and the reason for congruence (SSS, ASA, etc)

Answers

Answer:

5)Yes, ASA

6)Yes, SAS

Step-by-step explanation:

5) Two angles and one side are congruent

6) 1 angle and 1 side are given, and the middle side is Reflexive, so thats also congruent.

proof by contradiction every integer greater than 11 is a sum of two composite numbers

Answers

Proof by contradiction: Every integer greater than 11 is a sum of two composite numbers.

Step 1: Assume the negation of the statement, which is "There exists an integer greater than 11 that cannot be written as a sum of two composite numbers."

Step 2: Let n be the smallest integer greater than 11 that cannot be written as a sum of two composite numbers. This means that all integers greater than n can be written as a sum of two composite numbers.

Step 3: Since n is not composite, it is either prime or 1. If n is prime, then it cannot be written as a sum of two composite numbers because the sum of two composite numbers is composite. If n is 1, then it cannot be written as a sum of two composite numbers because 1 is not composite.

Step 4: Therefore, n cannot be prime or 1. This means that n must be composite. Since n is composite, it can be written as the product of two numbers a and b, where a and b are greater than 1.

Step 5: Since a and b are greater than 1, they must be composite. Therefore, n can be written as the sum of two composite numbers, a and b. This contradicts the assumption that n cannot be written as a sum of two composite numbers.

Step 6: Therefore, the assumption that there exists an integer greater than 11 that cannot be written as a sum of two composite numbers is false. In other words, every integer greater than 11 can be written as a sum of two composite numbers.

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HELP WORTH 10

solve for the values of x and y
3x + 2y =9

y= 2x + 8

Answers

Answer: x=-1

Step-by-step explanation:

3x+2(2x+8)=9

Answer:

3x+2y=9

3x+2(2x+8)=9

3x+4x+16=9

7x=-7

x=-1

y=2(-1)+8

y=-2+8

y=6

Step-by-step explanation:

what is 1.92 ÷ 32 ???

Answers

Therefore:

\(\frac{1.92}{32}=0.06\)

what is 1.92 32 ???

10 x 6 = 60 to find
the number of muffins in 10 boxes. Describe what each of
the factors represents in the multiplication equation.

Answers

Trent writes 10×6=60, then in multiplication equation 10 represents the quantity of muffin boxes, 6 represents the numbers of muffins in each box and 60 represents the full numbers of muffins.

According to the statement

We have to find that the multiplication equation.

So, For this purpose, we know that the

The linear equation is defined as an equation that is written in the form of Ax+By=C.

From the given information:

Given,

Trent writes 10×6=60,

Here,

10 represents the quantity of muffin boxes

And

6 represents the numbers of muffins in each box

Then

60 represents the overall numbers of muffins

Hence, Trent writes 10×6=60, then within the multiplication equation 10 represents the amount of muffin boxes, 6 represents the numbers of muffins in each box and 60 represents the full numbers of muffins.

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Find the standard form of the equation for the ellipse centered at​ (0,0), having vertical major axis of length 20 and minor axis of length 12
. Graph the equation.

Answers

The standard form of the equation for the ellipse centered at​ (0,0), having a vertical major axis of length 20 and a minor axis of length 12 will be x²/100 + y²/36 =1

What is an ellipse?

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called locus adds up to a constant. It is taken from the cone by cutting it at an angle.

It is given that, the standard form of the equation for the ellipse centered at​ (0,0), having a vertical major axis of length 20 and a minor axis of length 12

If (h,k) is the center of the ellipse while 2a and 2b are the major and minor axis respectively.

(h,k)=(0,0)

2a=20

a=10

2b=12

b=6

The standard form of the equation for the ellipse centered at (h,k) has a vertical major axis of length 2a and a minor axis of length 2b.

(x-h)²/a²+(y-k)²/b²=1

(x-0)²/10² + (y-0)²/6² = 1

x²/100 + y²/36 =1

Thus, the standard form of the equation for the ellipse centered at​ (0,0), having a vertical major axis of length 20 and a minor axis of length 12 will be x²/100 + y² / 36 =1

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Find the standard form of the equation for the ellipse centered at (0,0), having vertical major axis

What are the answers I need help ?

What are the answers I need help ?

Answers

Answer:

I can't see -_-

Step-by-step explanation:

I can't -_-

A sequence is defined recursively using the equation . If f(1)=100, what is f(6)?

52
60
68
92

Answers

Step-by-step explanation:

A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6) ?

Since, A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100,we have to find the value of f(6).

Consider

f(n+1) = f(n)-8

Let n =1, we get

f(1+1) = f(2) = f(1) - 8 = 100-8 = 92

Let n =2, we get

f(2+1) = f(3) = f(2) - 8 = 92-8 = 84

Let n =3, we get

f(3+1) = f(4) = f(3)-8 = 84 - 8 = 76

Let n =4, we get

f(4+1) = f(5) = f(4)-8 = 76 - 8 = 68

Let n =5, we get

f(5+1) = f(6) = f(5) - 8 = 68-8 = 60

Therefore, the value of f(6) is 60.

Answer: C, 60

Step-by-step explanation: Just took the quiz :)

Hal earns $5 a week doing chores for his parents. He also earns $10 a week for each dog.d, he walks,
Write an equation to find m, the total amount of money Hal earns in one week. Which variable in the equation is the dependent variable and which variable is the independent variable? Tell how you know

Answers

Answer:

grpuirpfs better luck next time

Step-by-step explanation:

Answer:

M=10d+5

Step-by-step explanation:

plz help me im so stuck

plz help me im so stuck

Answers

to find B you have two multiply eight and six together which will get you 48 you put 48 in the place of B in the equation And since the height is 10 you would put 10 in the place of the H in the equation so now what you have to solve is V=1/3(48•10) 48×10 is 480 then you divide 480 by 3 which will get you 160 then you multiply 160 by 2 since there are two shapes so your answer would be 320 cubic inches

The power 92 is equivalent to 81. What is the value of 9-2?
-81
-9
81

Answers

Answer:

Its 1/81

Step-by-step explanation:

I am not sure why it is not in your choices but I think that's the answer!

How do you add all the numbers from 1 to 500?

Answers

Answer:

125250

Step-by-step explanation:

a(1)=1a(n)=500n=(500-1)+1

S(n)=( (a(1) + a(n)) ×500 ) ÷ 2

S(500) = (501 ×500) ÷ 2 = 125250

The cross-section of the prism below is an equilateral triangle.
a) What is the area of the shaded face?
b) How many rectangular faces does the prism have?
c) What is the total area of these rectangular faces?
7 cm Scroll down
8 cm

Answers

a.) The area of the shaded face would be =54cm²

b.) The number of rectangular faces that the prism has =3

c.) The total area of the rectangular faces would be=162cm².

How to calculate the area of the shaded face in the diagram above?

To calculate the area of the shaded face, the formula that should be used = length×width.

where;

Length = 9cm

width = 6cm

Area = 9×6 = 54cm²

The total number of rectangular faces = 3

The total area of these rectangular face would be area of one rectangular face multiplied by 3.

That is;

54×3 = 162cm²

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The cross-section of the prism below is an equilateral triangle.a) What is the area of the shaded face?b)

If you know the answer to this question please help!! ASAP
7th grade Math

If you know the answer to this question please help!! ASAP7th grade Math

Answers

Answer:

22°

Step-by-step explanation:

a right angle have 90°

So

x+68°=90°

=>x=90-68

=22°

A firm issues​ three-month commercial paper with a ​$1000000
face value and pays an EAR of​ 7.4%. What is the amount the firm​
receives?

Answers

If firm issues​ commercial paper with $1000000 face-value and pays EAR of​ 7.4%, then amount the firm will receive is $981500.

To calculate the amount the firm receives from issuing the three-month commercial paper, we need to determine the total interest earned over the three-month period.

The Effective Annual Rate (EAR) of 7.4% indicates the annualized interest rate. Since the commercial paper has 3-month term, we adjust the EAR to account for the shorter period.

To find the quarterly interest rate, we divide the EAR by the number of compounding periods in a year. In this case, since it is a 3-month period, there are 4-compounding periods in a year (quarterly compounding).

Quarterly interest rate = (EAR)/(number of compounding periods)

= 7.4%/4

= 1.85%,

Now, we calculate interest earned on "face-value" of $1,000,000 over 3-months,

Interest earned = (face value) × (quarterly interest rate)

= $1,000,000 × 1.85% = $18,500,

So, amount firm receives from issuing 3-month commercial paper is the face value minus the interest earned:

Amount received = (face value) - (interest earned)

= $1,000,000 - $18,500

= $981,500.

Therefore, the amount that firms receives is $981500.

Learn more about EAR here

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