I need help with the question that says the area of the triangle is…. What is one way to write the equation?

Step-by-step explanation:

I guess that means

1.05 / 2.1

or

1.05 ÷ 2.1

both mean the same thing.

so, let's look at

1.05 / 2.1

this is the same as

105/100 / 210/100 = (105×100) / (210×100) =

= (105×100) / (210×100) × (1/100 / 1/100)

as long as we multiply numerator (top) and denominator (bottom) always with the same thing, the general fraction or division is unchanged.

(105×100) / (210×100) × (1/100 / 1/100) =

= (105 × 100/100) / (210 × 100/100) = 105 / 210

so, yes, the division of 105 / 210 is the same as 1.05 / 2.1

Answer:

The last investment (C) has the least interest of $600

The other two investments (A and B) have the same amount of interest of $1800.

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

Investment A

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(9)

⇒ I = $1800

Investment B

Substitute the given values into the formula and solve for I:

⇒ I = 3000(0.03)(20)

⇒ I = $1800

Investment C

Substitute the given values into the formula and solve for I:

⇒ I = 2000(0.1)(3)

⇒ I = $600

The last investment (C) has the least interest of $600.

The other two investments (A and B) have the same amount of interest of $1800.

Answer:

Hypotenuse of 10

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^{2} +b^{2} = c^{2}[/tex]

So let's plug in the numbers!

[tex]8^{2} +6^{2} = c^{2}[/tex]

Let's start the squaring (8*8 and 6*6)

[tex]64 + 36 = c^{2}[/tex]

Add the numbers to simplify

100 = [tex]c^{2}[/tex]

To reverse/invert a number that is squared, all you have to do is to take the square root of the number. But we have to do the same operations on both sides of the equation.

[tex]\sqrt{100} =\sqrt{c^{2} }[/tex]

We can simplify, and the square of c cancels because of the square root, leaving us with:

10 = c

The future value with continuous compounding is $127,420.39.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

15,000 x (e^0.06) x 8 = $127,420.39

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Answer:

jdiddbhhuduh9ruruuehgruhrhudhheherj

Answer: True

Step-by-step explanation:

Answer:False

Step-by-step explanation:I took the test

A triangle is a plane shape bounded by three straight sides, thus it has three internal angles. Therefore, the required values are:

i. x = [tex]40^{o}[/tex]

ii. y = [tex]120^{o}[/tex]

A plane shape is a figure bounded by straight sides. Examples are triangles, squares, rectangles, rhombus, kite, trapezium, etc. A triangle is an example of a plane shape that has three sides, thus three angles. also, the sum of angles in a given triangle is [tex]180^{o}[/tex].

Thus the required values of x and y can be determined as follows:

x + 20 + 120 =  [tex]180^{o}[/tex]

x + 140 =  [tex]180^{o}[/tex]

x =  [tex]180^{o}[/tex] - 140

So that,

x = [tex]40^{o}[/tex]

Thus,

y = 20 + 120 (the sum of opposite angles is equal to an exterior angle.)

            = [tex]120^{o}[/tex]

Therefore, x = [tex]40^{o}[/tex] and y = [tex]120^{o}[/tex]

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Stokes' theorem relates the surface integral of the curl of [tex]\vec F[/tex] across [tex]S[/tex] to the line integral of [tex]\vec F[/tex] along the boundary of [tex]S[/tex].

The boundary of [tex]S[/tex] is a circle with radius 7 centered at the origin in the [tex]x,y[/tex]-plane. Parameterize this path by

[tex]\vec r(t) = 7\cos(t)\,\vec\imath + 7\sin(t)\,\vec\jmath[/tex]

with [tex]0\le t\le2\pi[/tex]. Observe that [tex]z=0[/tex], so [tex]\cos(z) = 1[/tex] and the [tex]\vec\jmath[/tex]-component of [tex]\vec F[/tex] contributes nothing. The double integral then reduces to

[tex]\displaystyle \iint_S (\nabla\times\vec F)\cdot d\vec S = \int_0^{2\pi} \vec F(\vec r(t)) \cdot \frac{d\vec r}{dt} \, dt \\\\ ~~~~~~~~ = \int_0^{2\pi} \left(e^{49\cos(t)\sin(t)}\,\vec\imath + 49\cos(t)\sin(t)\,\vec\jmath\right) \cdot \left(-7\sin(t)\,\vec\imath + 7\cos(t)\,\vec\jmath\right) \, dt \\\\ ~~~~~~~~ = -7 \int_0^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt[/tex]

Observe that by substituting [tex]t=u+\pi[/tex], we have

[tex]\sin(t) = \sin(u+\pi) = \sin(u)\cos(\pi) + \cos(u)\sin(\pi) = -\sin(u)[/tex]

so that the integral over [tex][\pi,2\pi][/tex] can be expressed in terms of the integral over [tex][0,\pi][/tex] as

[tex]\displaystyle \int_\pi^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt = \int_0^\pi -e^{49\cos(t)\sin(t)} \sin(t) \, dt[/tex]

Then the integrals over [tex][0,\pi][/tex] and [tex][\pi,2\pi][/tex] cancel each other and integral of the curl of [tex]\vec F[/tex] is

[tex]\displaystyle -7 \int_0^{2\pi} e^{49\cos(t)\sin(t)} \sin(t) \, dt = -7 \int_0^\pi 0 \, dt = \boxed{0}[/tex]

Answer:

$77

Step-by-step explanation:

Hello!

Let's find the cost of the red swimsuit.

The cost of the Red swimsuit is $35.

The cost of both swimsuits is $35 plus $42, which gives is $77.

The inequalities which matches the graph are: x ≥ ₋1.5 and ₋1.5 ≤ x

Given, a number line is moving from ₋3 to ₊5 .

Next a mark is made at ₋1.5 and everything to its left is shaded which means not visible.

When we mark the point and shade the left part of it then we can start applying the inequality expressions.

And from that we can match the applicable inequalities while observing the graph.

Therefore the only inequalities the graph represents is  x ≥ ₋1.5 and ₋1.5 ≤ x

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Answer:

22/02/2022 ,22 February 2022

Step-by-step explanation:

The solution to the equation 3 and 4 by elimination is x = -2 and y = -2

2x = 3y + 2. (1)

3x = 5y + 4. (2)

2x - 3y = 2. (3)

3x - 5y = 4 (4)

6x - 9y = 6. (5)

6x - 10y = 8. (6)

-10y - (-9y) = 8 - 6

-10y + 9y = 2

-y = 2

y = -2

2x - 3y = 2. (3)

2x - 3(-2) = 2

2x + 6 = 2

2x = 2 - 6

2x = - 4

x = -4/2

x = -2

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Step-by-step explanation:

Depreciation of Long Term Assets

As with most types of assets, long term assets needs to be depreciated over the course of their useful life. It is because a long term asset is not expected to generate a benefit for an infinite amount of time.

Answer:

Inflation

Step-by-step explanation:

The rising costs of goods and services mean that $1 in 2022 will be worth more than $1 in 2032. This is called inflation.

Let's just say you put $200,000 in a savings account in 2000. That could've purchased you a 4 bedroom house at the time.

You keep the money in the account for over 20 years. And in 2020, you want to buy a new home with the money you have saved.

However, you can only buy a 2 bedroom house, because the rising costs of the market, increased the cost, or depreciated your savings.

This is called inflation.

L represent Option A. The correct answer is that the mixture has the intended volume and has more than the intended percent of butterfat.

Note that:

The graph shows that the point L is one that is below the blue line of the graph.

Therefore, x + y = 500

Also one need to see that:

0.18x + 0.04y = 500(0.12)

Since that cream is 18% butterfat, milk is 4% butterfat, so L is composed of of 350 ml of cream and 100 ml of milk.

Hence the total amount of butterfat for L is:

0.18 x 350 + 0.04 x 100

= 67ml.

Next, one has to calculate 12% of the volume of L :

12% of 450:

0.12 x 450 =  54ml

So, because 67 is bigger than 54, this implies that the volume of butter fat in L is more than 12 %.

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Answer:

0.87

Step-by-step explanation:

After decreasing new value would be : 100%  - 13% = 87%

87 % = 87/100 = 0.87

Answer:

a) Varies on b and c

b) 625 combinations

c) 120 combinations

Step-by-step explanation:

a) How many different cards are possible?

Leads to (b and (c

It depends on if repetition are permitted.

↓

in a 4 digit numerical combination, you were given 5 numbers.

b) If repetition are permitted:

you can put any of the given 5 digits to the 1st, 2nd, 3rd, and 4th position.

Each digits would have 5 turns.

This means that you will have 5 x 5 x 5 x 5 If there is repetition,

which is 5⁴ is 625 possible combinations.

c) repetition are not permitted:

This would mean that you have;

5 turns for the first digit,

4 turns for the second digit,

3 turns for the third digit,

2 turns for the fourth digit.

which means you have 5 x 4 x 3 x 2 possible solutions.

5 x 4 x 3 x 2 = 120

There will be 120 possible combinations in total if there's no repetitions.

________________________________________________________

Hope this helped!

Answer:

she hd 173 i think if this is correct

Step-by-step explanation:

if she gave 100 dollars away that would add 100 and then 50 150 and another 20 dollars 170 and she has 3 left so she had 173 dollars

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The number is 6400.

We have given that,

divided 80 by my number, and then added 13.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Suppose the number is x

[tex]\frac{x}{80}+13=93[/tex]

Subtract  13  from both sides

[tex]\frac{x}{80}+13-13=93-13[/tex]

[tex]\frac{x}{80}=80[/tex]

Multiply both sides by 80

[tex]\\\frac{80x}{80}=80\cdot \:80[/tex]

x=6400

Therefore the number is 6400.

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The number of ways by which exactly 2 people are taller than the person behind them is; 6.

It follows from content that since 4 individuals with different heights are to line up, the 2 individuals who must be taller than the person behind them are represented as one entity and must be in the 1st and 2nd position or the 2nd and 3rd position.

Hence, the number of ways is; 6 upon counting the number of possible outcomes.

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Answer:

  8,000,000 m²

Step-by-step explanation:

The largest rectangular area is enclosed when half the fence is used for sides in one direction, and the other half of the fence is used for sides perpendicular.

Here, no fence is needed on the river side, so 8000/2 = 4000 meters of fence will be used parallel to the river. The other 4000 m of fence will be split between the two ends of the enclosure, so its area will be ...

  4000 m × 2000 m = 8,000,000 m² . . . largest enclosed area

We can let x represent the length of fence perpendicular to the river. The amount of fence available for the side parallel to the river is ...

  L = 8000 -2x . . . . . the rest of the 8000 m of fence after 2 sides are used

The area is ...

  A = x(8000 -2x) = 2x(4000 -x) . . . . area is product of length and width

This equation for the area describes a parabola that opens downward and has zeros at x=0 and x=4000. Its maximum will be on the line of symmetry, halfway between these zeros. The value of x that gives maximum area is ...

  (0 +4000)/2 = 2000

The plot will extend 2000 meters out from the river and will have a length of ...

  8000 -2(2000) = 4000 . . . meters

The maximum area is (2000 m)(4000 m) = 8,000,000 m².

The attached graph shows area as a function of the dimension perpendicular to the river.

The population standard deviation is the standard deviation of the whole population denoted by sigma.

The sample mean is denoted by x bar and standard deviation by sx and it is the mean and standard deviation of the sample not the population from which the sample is chosen.

The data given in problem answers the first part.

The mean weight  of the sample denoted by  x bar x ¯ was two ounces with a standard deviation denoted by sx of 0.12 ounces.

The population standard deviation is denoted by σ known to be 0.1 ounce.

a. i. x ¯ =___2_____ ii. σ =___0.1_____ iii. sx =___0.12_____

e. Sub part i) 1.959 ; 2.041

Sub part iii) The error bound is 0.041

f. Sub Part i) 1.935 ; 2.065

Sub Part iii) The error bound is 0.0645

Part b)

The random variable X  is any number defining the weights of the  sample chosen from the population.

Part c)

The random variable X bar is the average weight of the sample obtained by adding the total weights of the sample divided by the number of the sample size.

Part d)

The normal distribution is used to solve the problem because the sample size is less than 30.

Part e

The 90 % confidence interval is calculated as ∝ = 1- 90%

∝ = 0.1

∝/2= 0.1/2= 0.05

xbar± z(∝/2) σ /√n

Putting the values

2± 1.645 (0.1)/√16

2± 0.041

or

Sub part i) 1.959 ; 2.041

Sub part iii) The error bound is 0.041

Part f

The 98 % confidence interval is calculated as ∝ = 1- 98%

∝ = 0.02

∝/2= 0.1/2= 0.01

xbar± z(∝/2) σ /√n

Putting the values

2± 2.58 (0.1)/√16

2± 0.0645

or

Sub Part i) 1.935 ; 2.065

Sub Part iii) The error bound is 0.0645

Part g

The confidence interval in part f is larger than the confidence interval in part e because we are 98 percent confident about the accuracy of the result. The interval is 0.01 for two tailed test which is very less as compared to 0.05 for 90% confidence interval.

The larger the area of the confidence interval less sure we are about the accuracy of the result hence getting a smaller value .

Part h

On the average 90 % of the 16 sample will have the true value of the mean.

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Answer:

1160cm squared

Step-by-step explanation:

as for me I've calculated the surface area of a closed cuboid.

this is because we are not informed whether it is open or closed.

and so my teacher told me that if you're not informed, if a cuboid is open or closed, just assume that the cuboid is closed.

and that is what I have done.

hope it helps.

in case of any questions feel free to ask.

Answer:

C. Point T and (0,0)

Step-by-step explanation:

There are more complicated ways to find this answer but the easiest is to go to an online graph maker (I use Desmos) and insert the equation. Then look for each point and see if the line passes through any of these points.

This is the graph of f(x)=−(x−3)(x+1). Hope it helps!

The graph of the function y = sin 0.5x is option A. This can be obtained by using period of the graph function.

Periodic function is a function that repeats at uniform intervals; the time interval between two waves is called the period.

f (a + n) = f (a), ∀ n > 0.

After first n the function is same that is f(a), after second function is the same, the function is repeated with an interval of n.

Therefore the formula for period of a function is 2π/|B| when the function is y = A sin(Bx + C) and y = A cos(Bx + C).

For a function y = sin bx, period is given by,

P = 2π/b

Here function is y = sin 0.5x, therefore b = 0.5

P = 2π/0.5

  =20π/5

  = 4π

Period is 4π. The first graph has period 4π.

Hence the graph of the function y = sin 0.5x is option A.

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Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Which could be the graph of the function y = sin 0.5x?

By graphing the function, we can see that we have 3 real solutions and 2 non-real solutions.

To check this, we need to graph the equation and see how many times it intersects the x-axis.

Because the degree is 5, we know that there are 5 solutions in total.

Now if we look at the graph, we can see that it intersects the x-axis on 3 points, so there are 3 real solutions. And because there are 5 solutions in total, we conclude that the other 2 solutions are non-real.

So we have 3 real solutions and 2 non-real solutions.

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The value of C based on the information given about the integer is C. 22.

From the information given,

b² + bc - 23 = 0

Let the assumed value for a = 1

b² + bc - 23 = 0

1² + (1 × c) - 23 = 0

1 + c - 23 = 0

c = 23 - 1

c = 22.

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The line which is described as in the task content has equation; (y - 6) = 12 (x-2).

From the task content, it follows that two points which can be used to evaluate the slope of the graph is positive.

Hence, the equation of the line in discuss is which passes through the points given is; (y - 6) = 12 (x-2) in which case, the positive slope number is 12.

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Probability helps us to know the chances of an event occurring. The probability that the card selected is not a heart is 3/4.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of the card not being selected is a heart is,

Probability = (Number of cards without heart)/Total number of cards)

Probability = 39/52

Probability = 3/4

Hence, the probability that the card selected is not a heart is 3/4.

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