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Please can you explain what this paragraph is trying to say. Also what does it mean in the sentence 'the difference in charge across the battery provides push for current' and what is the difference in charge.



Here's paragraph I need to have a simple definition of:


A high waterfall is also like a large voltage. It will transfer a lot of energy to the water (charge), making the river flow very fast (a large current) the difference in height makes the river flow. In a circuit , the difference in charge across battery provides push for the current.

Answers

Answer 1

The meaning of the phrase in the sentence, 'the difference in charge across the battery provides push for current' is that the electromotive force is needed to ensure that charges flow through the circuit and drive the device.

The difference in charge is the electric potential difference.

What is the meaning of the difference in charge?

The diference in charge simply refers to the electric potential difference and the EPD is found with the formula: V = IR,

where V is the potential difference.

I = Current, and

R = Resistance

In reference to the sentence above, we can compare the potential diference to the large current that makes the river flow very fast. THe charge is also important as it contains the energy that will make the system function.

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Related Questions

Inequalities 7th grade Bai had a cell plan…

Answers

The solution is, the solution is x > −1.

This means that any value of x greater than −1 satisfies x + 3 > 2.

Inequalities can be represented on a number line such as that shown in the image attached below. The solid line shows the range of values that x can take. We put an open circle at −1 to show that although the solid line goes from −1, x cannot actually equal −1.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.

Suppose we want to solve the inequality x + 3 > 2.

We can solve this by subtracting 3 from both sides:

x + 3 > 2

x > −1

So the solution is x > −1.

This means that any value of x greater than −1 satisfies x + 3 > 2.

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Forecast the stock price on Monday 4/24/2023 by calculating 5-day weighted moving average of the previous week (4/17--4/21) as shown below.
Date Price Weight
4/17/2023 $ 157.01 1
4/18/2023 $ 159.37 3
4/19/2023 $ 159.36 5
4/20/2023 $ 161.78 7
4/21/2023 $ 164.08 9

Answers

The weighted average for the previous week is given as follows:

$161.64.

How to calculate the mean of a data-set?

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

Considering the weights, the sum of the observations is given as follows:

1 x 157.01 + 3 x 159.37 + 5 x 159.36 + 7 x 161.78 + 9 x 164.08 = 4041.1.

The sum of the weights is given as follows:

1 + 3 + 5 + 7 + 9 = 25.

Hence the weighted average is given as follows:

4041.1/25 = $161.64.

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What is the surface area

Answers

1296 unit square will be the total surface area of the given figure.

To find the surface area of the given figure. first, we need to separate this graph into two cuboids such that,

the upper one with the dimension of 9*6*6.lower one with the dimension of 27*6*12.

The surface area of a cuboid is given by the formula:

A = 2lw + 2hw + 2lh

thus, for the upper cuboid,

A = 2*9*6+2*6*6+2*9*6

A=288

thus, for the lower cuboid,

A = 2*27*6+2*27*12+2*12*6

A=1116

So the total surface area = sum of the surface area of both cuboids - 2* area of the touching side

Total surface area = 1116+288-2*9*6

Therefore total surface area will be 1296.

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5/2 pounds to ounces

Answers

5/2 pounds is equal to 40 ounces.

We have to find the 5/2 pounds to ounces

1 pound is equal to 16 ounces.

To convert 5/2 pounds to ounces, we can multiply by 16:

5/2 pounds × 16 ounces/pound = 40 ounces

Therefore, 5/2 pounds is equal to 40 ounces.

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NO LINKS!! URGENT HELP PLEASE!!!

Please help me with #3

Answers

Answer:

1.a.SAS axiom

b. ASA axiom

Step-by-step explanation:

There are five basic conditions for triangles to be congruent:

SSS:
If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.SAS:
If two sides and the included angle of one triangle are equal to the two sides and the included angle of another triangle, then the two triangles are congruent.ASA:
If two angles and the included side of one triangle are equal to the two angles and the included side of another triangle, then the two triangles are congruent.AAS:
If two angles and the non-included side of one triangle are equal to the two angles and the non-included side of another triangle, then the two triangles are congruent.RHS:
If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

For Question:

1.

a. InΔABC and ΔBCD

AB=CD opposite sides of the parallel line are equal Side

∡BAC=∡BDA Given Angle

BC=BC Same side Side

It fulfills the condition of the SAS axiom,

InΔABC ≅ ΔBCD by SAS axiom

b. InΔABC and ΔCDE

∡ACB=∡DCE Vertically opposite angle Angle

BC=CD given Side

∡ABC=∡CDE right angle Angle

It fulfills the condition of the ASA axiom,

InΔABC ≅ ΔCDE by ASA axiom It may be R.H.S. axiom too.

What is the Scale factor=?

Answers

Answer:

k = 1.5

--------------------

The scale factor is the ratio of corresponding sides.

Find the scale factor k for the pictured triangles:

k = 6/4 k = 1.5

3). The ages of ten students randomly chosen from HND Secretryship and Management evening
session class are as follows: 19, 26, 27, 17, 38, 26, 25, 20, 33, 19.
i.
ii.
Compute the average age
The standard deviation of the ages.

Answers

The probability that a student who attends the first session also attends the second session is 1/3

Evaluating the probability

We can approach this problem by using conditional probability.

Let's use the notation "S1" to represent the event that a student attends the first session, and "S2" to represent the event that a student attends the second session.

Then we can use the formula for conditional probability:

P(S2 | S1) = P(S1 and S2) / P(S1)

We know that P(S1) = 0.6, since 60% of students attend the first session. We also know that P(S1 and S2) = 0.2, since 20% of students attend both sessions.

So we can plug in these values and solve for P(S2 | S1):

P(S2 | S1) = 0.2 / 0.6

P(S2 | S1) = 1/3

Therefore, the probability that a student who attends is 1/3 or approximately 0.333.

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complete question:

In a cooking class 20% of

the students attend two

sessions. 60% of students

attend the first session of

cooking class. What is the

probability that a student that

attends the first session also

attends the second session?

URGENT!!! PLEASE HELP!!! 20 POINTS!!!

A computer software company receives hundreds of support calls each day. There are several common installation problems, call them A, B, C, and D. Several of these problems result in the same symptom, lock up after initiation. Suppose that the probability of a caller reporting the symptom lock up is 0.6
and the probability of a caller having problem A and a lock up is 0.5
.
Step 2 of 2 : What is the probability that the cause of the malfunction is not problem A given that the caller is experiencing a lock up? Round your answer to four decimal places, if necessary.

Answers

The probability that the cause is problem A given that the caller reports a lock-up is 0.25, or 25%.

We have,

We can use Bayes' theorem to solve this problem, which states:

P(A | B) = P(B | A) * P(A) / P(B)

where:

P(A | B) is the probability of event A given that event B has occurred (in this case, the probability that the cause is problem A given that the caller reports a lock up)

P(B | A) is the probability of event B given that event A has occurred (in this case, the probability that the caller reports a lock up given that the cause is problem A)

P(A) is the prior probability of event A (in this case, the probability that the cause is problem A)

P(B) is the prior probability of event B (in this case, the probability that the caller reports a lock up)

We are given that:

P(B) = 0.8 (the probability that the caller reports a lock up)

P(B | A) = 0.5 (the probability that the caller reports a lock up given that the cause is problem A)

We want to find P(A | B) (the probability that the cause is problem A given that the caller reports a lock up)

We don't have the value of P(A), but we can use the fact that the sum of the probabilities of all possible causes (A, B, C, and D) is 1:

P(A) + P(B) + P(C) + P(D) = 1

We also know that the lock up symptom is present in some of the problems, so we can write:

P(B) = P(B | A) * P(A) + P(B | C) * P(C) + P(B | D) * P(D)

Substituting the values we have, we get:

0.8 = 0.5 * P(A) + P(B | C) * P(C) + P(B | D) * P(D)

We don't have the values of P(C) and P(D), but we know that they are not given in the problem statement, so we can assume that they are not relevant for this calculation and that P(C) + P(D) = 0. This allows us to simplify the equation to:

0.8 = 0.5 * P(A) + 0

which gives us:

P(A) = 0.8 / 0.5 = 0.4

Now we can use Bayes' theorem to calculate the probability that the cause is problem A given that the caller reports a lock up:

P(A | B) = P(B | A) * P(A) / P(B) = 0.5 * 0.4 / 0.8 = 0.25

Therefore, the probability that the cause is problem A given that the caller reports a lock up is 0.25, or 25%.

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complete question:

A computer software company receives hundreds of support calls each day. There are several common installation problems, call them A, B, C, and D. Several of these problems result in the same symptom, lock up after initiation. Suppose that the probability of a caller reporting the symptom lock up is 0.80.8 and the probability of a caller having problem A and a lock up is 0.50.5.

Step 1 of 2 :

Given that the caller reports a lock up, what is the probability that the cause is problem A? Round your answer to four decimal places, if necessary.

Please help me out I am really struggling

Answers

The linear function for the temperature is given as follows:

T(x) = 25 - 3x.

The graph is given by the image presented at the end of the answer.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

m is the slope of the function, representing the increase/decrease in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, it is the value of y when the graph of the function crosses or touches the y-axis.

The slope and the intercept for the function in this problem are given as follows:

m = -3, as for each km, the temperature decays by 3ºC.b = 25, as at sea level, the temperature is of 25ºC.

Hence the function is given as follows:

T(x) = 25 - 3x.

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Because you loved Professor Salaam’s class so much, you go to the market and decide to trade your car for 2 magical doubling beans. After 1 day, you notice that your 2 magical beans have turned into 4 magical beans. After 2 days you look and there are 8 magical beans. On the third day, you notice there are now 16 beans. Since you are a brilliant mathematician, you decide to estimate how many beans you will have after 15 days.

How many beans will you have 65536? If each magical bean is worth $0.50, and your car was worth $65,000, did your trade make sense (after 15 days) YES, NO, MAYBE, Not enough information? Estimate how many days you would need to have doubled your beans for the trade to make sense.

Answers

According to the information, after 15 days we will have 32,768 beans that will be worth $16,384.

How to calculate how many beans will we have after 15 days?

The pattern here is that the number of magical beans is doubling each day. Therefore, we can find the number of beans after 15 days by starting with the initial 2 beans and doubling them 15 times:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 32,768

So after 15 days, you will have 32,768 magical beans.

How to calculate the value of the beans?

If each magical bean is worth $0.50, then the total value of the beans after 15 days would be:

32,768 x $0.50 = $16,384

Comparing this to the value of your car, which was $65,000, it seems like a bad trade.

How many days would I need to have doubled my beans for the trade to make sense?

To estimate how many days you would need to have doubled your beans for the trade to make sense, we can solve for the number of days in the equation:

[tex]2^d[/tex] = 65,000 / ($0.50 x 2)[tex]2^d[/tex] = 65,000 / $1[tex]2^d[/tex] = 65,000d = log2(65,000)d ≈ 15.99

According to the above, we would need to have doubled your beans for approximately 16 days to make the trade worth it.

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Quadrilateral RUST has a vertex at R (1, 5).

A. (4,4)
B. (4,8)
C. (3,9)
D. (2,8)

What are the coordinates of R'after the translation (x, y) - (x+1, y-1),
followed by a dilation by a scale factor of 2, centered at the origin?

Answers

Answer:

  B.  (4, 8)

Step-by-step explanation:

You want the coordinates of R(1, 5) after translation by (1, -1) and dilation by a factor of 2.

Translation

Applying the given transformation, you have ...

  (x, y) ⇒ (x +1, y -1)

  R(1, 5) ⇒ R'(1 +1, 5 -1) = R'(2, 4)

Dilation

The dilation multiplies each coordinate value by the dilation factor, 2.

  (x, y) ⇒ (2x, 2y)

  R'(2, 4) ⇒ R''(2·2, 2·4)  = R''(4, 8)

The coordinates after translation and dilation are (4, 8).

#95141404393

what is 9+10 ?
free 10 points

Answers

it is 19 because maths says that 9+10 is 19

Answer:

the answer is 19......

Step-by-step explanation:

what equation is the blue line

Answers

Hello!

the equation of the blue line is 3y + 0.5x

SOMEONE HELP PLEASE

Which of these values for P and a will cause the function f(x) = Pa* to be an exponential growth function?

O A. P=;a=
OB. P= ; a=
= 12
9
C. P = 9; a =
= 1/2/2
OD. P= 9; a = 1
4

Answers

The option that makes the function, f(x) = P·(a)ˣ, an exponential growth function is the option B

B. P = 1/9; a = 12

What is an exponential function?

An exponential function is a function of the form; Y = a·bˣ

Where;

a = The y-intercept, (a, 0)

b = The growth or decay factor

x = The exponent

The function can be expressed as follows;

f(x) = P·(a)ˣ

An exponential growth function is one that increases in value as the value of the input variable increases, in which the growth or decay factor is a > 1

The option that therefore yields an exponential growth is one in which the value of the variable a is larger than 1.

The correct option is therefore, option B.

B. P = 1/9; a = 12

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The life expectancy of a particular brand of lightbulb is normally distributed with a mean of 1,500 hours and a standard deviation of 75 hours.
What is the probability that a lightbulb will last less than 1,410 hours?


A .1151
B .2671
C .3321
D .4218
E .5111

Answers

Step-by-step explanation:

14 10 is 90 less than the mean 1500

   z score =  - 90 / 75 =  -  1.200

    from a z-score table this represents  .1151  

       or  11.51 % will last LESS than 1410 hrs

     

   

A flower garden is in the shape of a circle. The circumference of the garden is 20 meters. What is the area of the garden? Use 3.14 for pi and round you answer to the nearest whole number.

Answers

The circumference of a circle is also referred to as the distance around that circle.

The circumference of the flower garden which is circular in shape is given as = 20 meters

The formula for the circumference of a circle is given as [tex]\bold{2\pi r}[/tex]

Step 1

We have to find the radius of the circular garden

Hence: [tex]\sf 2\pi r = 20 \ m[/tex]

[tex]\sf \pi = 3.14[/tex]

To find the radius, the formula would be given as

[tex]\bold{r = \dfrac{C}{2\pi}}[/tex]

Where C = Circumference of the circle

[tex]\sf r = \dfrac{20}{2\times3.14}[/tex]

[tex]\sf r = \dfrac{20}{6.28}[/tex]

[tex]\sf r = 3.1847133758 \ m[/tex]

Step 2

We can find the area of the circle now

The formula for the area of the circle is given as:

[tex]\bold{A = \pi r^2}[/tex]

[tex]\sf A = 3.14 \times 3.1847133758^2[/tex]

[tex]\sf A = 31.847133758 \ m^2[/tex]

[tex]\sf A\thickapprox32 \ m^2[/tex]

Therefore, the area of the flower garden to the nearest whole number is 32m²

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30. Which of these sentences uses active voice?
The winning homerun was hit by the worst player on the baseball
team.
My friend invited his whole class to Saturday's soccer championship.
The children were taken to the circus by their doting grandfather.
At noon, some cookies were going to be baked by the baker.

Answers

The sentence that uses active voice is: "My friend invited his whole class to Saturday's soccer championship."

How to get the active voice

Now, let's examine the sentences you provided:

"The winning homerun was hit by the worst player on the baseball team."

Passive voice: The subject ("the winning homerun") is being acted upon by the action (hit by the worst player).

"My friend invited his whole class to Saturday's soccer championship."

Active voice: The subject ("my friend") is performing the action (inviting his whole class).

"The children were taken to the circus by their doting grandfather."

Passive voice: The subject ("the children") is being acted upon by the action (taken to the circus by their doting grandfather).

"At noon, some cookies were going to be baked by the baker."

Passive voice: The subject ("some cookies") is being acted upon by the action (baked by the baker).

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The sum of a number n and 8 is multiplied by -4 an the result is -12 what is the number

Answers

Answer:

-5

Step-by-step explanation:

Arranging the numbers

-4 (n+8) = -12

n+8 = -12/-4

n+8 = 3

n = 3-8

n = -5

A chain saw requires 4 hours of assembly and a wood chipper
5 hours. A maximum of 60 hours of assembly time is available.
The profit is $150 on a chain saw and $220 on a chipper. How
many of each should be assembled for maximum profit?

Answers

The maximum profit that can be obtained is $3160.

Let x be the number of chainsaws to be assembled, and y be the number of wood chippers to be assembled.

We want to maximize the profit, which is given by:

P = 150x + 220y

subject to the following constraints:

4x + 5y ≤ 60 (maximum assembly time available)

x ≥ 0, y ≥ 0 (non-negativity constraints)

We can solve this problem using linear programming.

First, we graph the constraint 4x + 5y ≤ 60 by finding the boundary line:

4x + 5y = 60

y = (-4/5)x + 12

The slope of this line is -4/5, and the y-intercept is 12. We can plot this line on a coordinate plane:

The feasible region is the region that satisfies all the constraints. It is the region below this line, including the non-negativity constraints:

We now evaluate the objective function P at the vertices of the feasible region to find the maximum value of P.

The vertices of the feasible region are (0,0), (0,12), (15,0), and (10,8).

P(0,0) = 0

P(0,12) = 220(12) = 2640

P(15,0) = 150(15) = 2250

P(10,8) = 150(10) + 220(8) = 3160

The maximum value of P is obtained at (10,8), which means that 10 chainsaws and 8 wood chippers should be assembled for maximum profit.

Therefore, the maximum profit that can be obtained is:

P = 150(10) + 220(8) = $3160.

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determine the range of; y = |x|​

Answers

The range of the given function y = |x| is [0, ∞).

As per the question, consider that the absolute value of any real number x is always non-negative.

Therefore, the output of the function y = |x| is always non-negative as well.

Furthermore, for any non-negative real number y, there are two possible inputs x that will produce that value of y: x and -x. For example, if y = 2, then x could be either 2 or -2.

Thus, every non-negative real number is in the range of y = |x|, and no negative numbers are in the range.

Therefore, the range of y = |x| is [0, ∞).

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Mary is 5 yards to the left of the center line on a soccer field. The soccer ball is 10 yards
to the right of the center line. Which expression represents the distance from Mary to the
soccer ball?
A 10 51
B |-5-10|
C -5+10
D |10|-|-51

Answers

Answer: B |-5+10|

Step-by-step explanation:

with simple addition we can find out that the distance from Mary to the soccer ball is 15 yards (5+10).

-5-10 = -15

|-15| = 15

Complete the expressions and select the missing properties.
Write each answer as a number, a variable, or the product of a number and a variable.

Answers

p + 12 is the resulting expression using commutative law of addition.

Solving linear expression

Linear expression are expression that has a leading degree of 1.

Given the expression below

4 + (8 + p)

Using the commutative law of addition A + B = B + A, we will have:

4 + (8 + p) = (8 + p) + 4

= (4 + 8) + p

= 12 + p

Applying the commutative law, we will have

12 + p = p + 12

Hence the resulting expression using the commutative law of addition is p + 12

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a squared -16a-12 (factored)

Answers

The expression a² - 16a - 12 when factored is a(a - 16) - 12


Factoring the expression

From the question, we have the following parameters that can be used in our computation:

a² - 16a - 12

The above expression is a quadratic expression

It cannot be completely factored

This is because the roots of the expressions are irrational numbers

To partially factor the expression, we have

a² - 16a - 12 = a(a - 16) - 12

Hence, the expression a² - 16a - 12 when factored is a(a - 16) - 12

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Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.

Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.

a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?

Answers

A.  The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.

B. No, the project does not meet the company's cash payback criteria.

C.  Yes, the project does meet the net present value criteria for acceptance.

How do we solve for the net present value of the proposed investment?

A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.

                $55,440 / $7,700 = 7.2 years

To solve for the net present value, we say

Net Present Value = ∑ [(Cash inflow in period t) / (1 + [tex]r^{t}[/tex]] - Initial Investment.

NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63

+ ($7,700 / (1 + 0.08)²) = 6601.51

+ .($7,700 / (1 + 0.08)³ = 6112.51

+ ($7,700 / (1 + 0.08)⁴) = 5659.73

+ ($7,700 / (1 + 0.08)⁵) = 5240.49

+ ($7,700 / (1 + 0.08)⁶) = 4 852.31

+ ($7,700 / (1 + 0.08)⁷) = 4492.88

+($7,700 / (1 + 0.08)⁸)  = 4160.07

+ ($27,600 / (1 + 0.08)⁸)) = 14911.42

- $55,440

We add all these values together and subtract by  $55,440

7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440

59160.55 - 55,440

NPV = 3720.55

B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.

C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.

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What is the volume of the above figure ?

Answers

Step-by-step explanation:

Volume = length X width X height =  8 x 2 x 6 = 96 m^3

Work out the length of x in the triangle below
If your answer is is decimal, give it to 1 d.p.

Answers

Answer:

  8 m

Step-by-step explanation:

You want the length x that gives a triangle area of 26 m² when the angle between side x and side 13 m is 30°.

Area

The area formula is ...

  A = 1/2ab·sin(C)

  26 = 1/2(13)(x)·sin(30°) = 13/4x . . . . . use given values

  x = (4/13)(26) = 8 . . . . . . divide by the coefficient of x

The length x in the triangle is 8 m.

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Answers

X=4 if i assume the sides are the same length, therefore side AD is equal to 32

.l want the solution ​

Answers

The absolute value equation that has these minimum and maximum heights as its solutions is 9=|x−45|

We have,

"The min is simply the lowest observation, while the max is the highest observation. Obviously, it is easiest to determine the min and max if the data are ordered from lowest to highest."

First, find the difference of both solutions.

54 - 36 = 18

Than, divide it by 2

18/2 = 9

9 = | x − 54+9 |

Either way:       9 =|x−45|

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compplete question:

For the Pony Ride, the minimum height is 36 inches and the maximum height is 54 inches. Write and solve an absolute value equation that has these minimum and maximum heights as its solutions.​

if 1 + 1 = 2 then does 2 + 2 = 1 + 1
If 2 + 1 = 21 then does everything else = 21
Solve
x3+y3+z3 = k

Answers

The first statement, "if 1 + 1 = 2, then 2 + 2 = 1 + 1," is true due to the associative property of addition, which allows us to group the numbers in any order we want.

How to find the solutions to the aforementioned questions

The first statement, "if 1 + 1 = 2, then 2 + 2 = 1 + 1," is true due to the associative property of addition, which allows us to group the numbers in any order we want.

The second statement, "If 2 + 1 = 21, then everything else must equal 21," is false. If we assume that 2 + 1 = 21, we must know the specific mathematical system being used to determine if everything else equals 21.

Without additional information or constraints, the equation "[tex]3 + y^3 + z^3 = k[/tex] cannot be solved. It is a three-variable equation with only one equation, which means there are an infinite number of solutions depending on the values of y, z, and k.

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A test was given to a group of students. The grades and gender are summarized below

A B C Total
Male 3 10 12 25
Female 14 2 13 29
Total 17 12 25 54


If one student is chosen at random from those who took the test,

Find the probability that the student got a 'A' GIVEN they are male.

Answers

The probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

To find the probability that a student got an 'A' given they are male, we need to use Bayes' theorem:

P(A | Male) = P(Male | A) × P(A) / P(Male)

We can find the values of the terms in the formula using the information given in the table:

P(Male) = (25/54) = 0.46 (the proportion of all students who are male)

P(A) = (17/54) = 0.31 (the proportion of all students who got an 'A')

P(Male | A) = (3/17) = 0.18 (the proportion of all students who are male and got an 'A')

Therefore, plugging these values into the formula:

P(A | Male) = 0.18 × 0.31 / 0.46

P(A | Male) ≈ 0.12

So the probability that the student got an 'A' given they are male is approximately 0.12 or 12%.

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