The equation for line s can be written as y = 3/10x + 8. Line t is parallel to lines and passes through (-7, -2). What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.​

Answer:

39% of 80 = 39.2

74% of 240 = 177.6

91% of 82 = 74.62

66% of 160 = 105.6

9% of 71 = 63.9

126% of 80 = 100.8

234% of 145 = 339.3

97.9% of 39 = 38.181

52% of 57.9 = 30.108

33% of 15.3 = 5.049

Step-by-step explanation:

In order to find the percentage of each equation, we will use the first one as an example. We take the 39%, and convert it to 0.39 and get rid of the %. Then, "of" means multiplication.

So, we have:

0.39 x 80 = 39.2

Answer:

(A) Nuclear fission takes place in the nucleus of atoms

Step-by-step explanation:

I took the test!

No, Hannah is incorrect.

We are given the expression 42*19.

Hannah got the solution by multiplying 40*10 and 2*9 and then adding the values.

This can be done by using distributive property, which is given by:-

(a + b)(c + d) = ac + ad + bc + bd

We can write,

42*19 = (40 + 2)(10 + 9) = 40*10 + 40*9 + 2*10 + 2*9

Hence, the answer is not just 40*10 + 2*9 but 40*10 + 40*9 + 2*10 + 2*9.

Hannah did not add the remaining 40*9 + 2*10 to calculate the answer.

That is why Hannah was incorrect.

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Answer:

-1/2; take both points which equals to -1/2

Step-by-step explanation:

Angle XBC is a corresponding angle to angle AXY.

The value of angle BXC is 30 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as alternate angles, corresponding angles, linear angles, vertically opposite angles etc.

Therefore, XY and BD are parallel lines and are cut by the transversal line AB and XC.

XBC forms an isosceles triangle.

∠AXY = 75 degrees.

∠XBC is a corresponding angle to ∠AXY.

Corresponding angles are congruent.

Therefore,

∠AXY = ∠XBC

Let's find the angle BXC.

The sum of angle in a triangle is 180 degrees.

The triangle BXC is an isosceles triangle. An isosceles triangle has base angles equal to each other.

Hence,

75 + 75 + ∠BXC = 180°

∠BXC = 180 - 150

∠BXC = 30°

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Answer:

(2, 3)

Step-by-step explanation:

the work is all in the pic go check it out I am so sorry if it's incorrect also have a nice day:)

The equation of the line perpendicular to the line line joining (-4,4) and (2,-2) will be → y = x + 2.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a line that is perpendicular to the midpoint of the line segment that contains the point (-4,4) and (2,-2),

The midpoint of line joining (-4,4) and (2,-2) will be -

x[m] = (- 4 + 2)/2 = -1

y[m] = (4 - 2)/2 = 1

Coordinates of the midpoint will be M(-1, 1)

Slope of the line joining (-4,4) and (2,-2) will be -

m = (- 2 - 4)/(2 + 4)

m = -6/6

m = - 1

Then, the slope of the line perpendicular to this line will be -

m[p] = -1/-1

m[p] = 1

Assume that the equation of the perpendicular line as -

y[p] = x + c

Since it passes though (-1, 1) so -

1 = -1 + c

c = 2

Therefore, the equation of the line perpendicular to the line line joining (-4,4) and (2,-2) will be → y = x + 2.

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The corresponding element in the range when 6 is an element in the domain is f(6) = -4.

Given function f(x) = 8–2x.

6 is an element in the domain of this function.

To find the corresponding element in the range of the function,

Substitute x = 6 in the given function f(x).

So,

f(6) = 8 - 2(6)

f(6) = 8 -12

f(6) = -4

Hence, the corresponding element in the range when 6 is an element in the domain is -4.

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The dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

For the given question,

The perimeter of the triangle is 50 units.

The three sides of the triangle is given as;

The formula for finding the perimeter is;

Perimeter =  sum of all sides.

Let 'P' be the perimeter of the triangle. Then,

P = x-1 + 2x-3 + 3x - 6

Simplifying.

P = x + 2x + 3x - 1 - 3 - 6

50 = 6x - 10

6x = 60

x = 10

For the measure of the side length, put x = 10 in the sides.

Thus, the dimensions of the sides of the triangle is found as 9 units, 17 units and 24 units.

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The price per share after 5 hours is $28.32

The price per share after 23 hours is $-2.1

Given,

A​ company's stock began the day at ​$ 36.77per share.

and, price drops be $1.69 each hour.

To find the what is the price per share after 5hours

and, also find what will be after 23 hours rate continues?

Now, According to the question:

The price of the company's stock is initially at $36.77 per share. Each hour the price drops by $1.69. This condition can be modeled by the function:

P(t) = 36.77 - 1.69t

Where t is the time in hours.

The sign means the function is decreasing as time passes.

When t=5 hours, the price will be:

P(5) = 36.77 - 1.69 × 5 = 28.32

The price per share after 5 hours is $28.32

Now find the price when t=23 hours

P(23) = 36.77 - 1.69 × 23 = - 2.1

The price per share after 23 hours is $-2.1

Hence, The price per share after 5 hours is $28.32

The price per share after 23 hours is $-2.1

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Answer:

A system of nonlinear equations is a system where at least one of the equations is not linear. Just as with systems of linear equations, a solution of a nonlinear system is an ordered pair that makes both equations true. In a nonlinear system, there may be more than one solution.

Answer:

The answers are (-10, -4) and (0, 1)

Step-by-step explanation:

The solution to a system of equations is the point where both lines intersect. In this case, all you have to do is mark the points of intersection and look at their coordinates.

Hope this helps!

Answer:

$2,000

Step-by-step explanation:

Amount invested in Fund A = 6000

Profit rate of return = 5%

Amount of profit = 6000 x 5% = 6000 x 0.05 = $300

Let amount invested in Fund B be $x

Profit amount = 0.01x

Total amount invested is 6000 + x

Total profit in $ = 300 + 0.01x

Total profit in percentage = Total Profit/Total investment x 100

= 4 %

So Total Profit/Total investment = 4/ 100 = 0.04

= (300 + 0.01x) / (6000 + x)  = 0.04

Multiply both sides by (6000 + x)

=> 300 + 0.01x = 0.04(6000 + x)

=> 300 + 0.01x = 240 + 0.04x

==> 300 - 240 = 0.04x - 0.01x

=> 60 = 0.03x

x = 60/0.03

x = $2,000

Amount invested in Fund B = $2,000

Step-by-step explanation:

Fund A

$6000 returned a 5% profit. that means it had at the end 105% of the original investment

the formally correct way

100% = 6000

1% = 100%/100 = 6000/100 = $60

5% = 1%×5 = 60×5 = $300

in short, if we knew what we are doing, we could have simply calculated 6000 × 0.05 = $300.

and by the way, 6000 × 1.05 = $6300. which is the current balance of the account (investment plus the returned profit). but we don't need this here. this is just FYI.

Fund B

x returned 1% profit.

Fund A + Fund B

6000 + x returned 4% profit.

so, we have

6000×0.05 + x×0.01 = (6000 + x)×0.04

300 + 0.01x = 240 + 0.04x

60 + 0.01x = 0.04x

60 = 0.03x

x = 60/0.03 = $2000

so, he invested $2000 into fund B.

Answer: [tex]m=\frac{360^{\circ}}{n}[/tex]

Step-by-step explanation:

This is a standard result.

The second option is the segment addition postulate.

The third option is the sum of the angles of a polygon with n sides.

The fourth option is the measure of each interior angle of a regular polygon with n sides.

The fifth option is the angle addition postulate.

The measure of angle 2 is 81° because angles 1 and 2 are corresponding angles.

Corresponding angles:

Corresponding angle means the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.

Given,

Two electricity poles are built standing parallel to each other, as shown below. The measure of angle 1 is 81°.

Here we need to find the measure of the angle 2.

We know that,

If the lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet.

And as per the definition of corresponding angles, we know that, if any two lines are said to be parallel if the Corresponding angles so formed are equal.

Then the measure of the angle 2 is 81° because angle 1 and 2 are parallel.

Therefore, those angles are the corresponding angles also.

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Let

number of children admitted = x

number of adult admitted = y

Total number admitted = 335

number of children = 160

number of adult = 175

Answer:

Your answer is 93.3.

Step-by-step explanation:

[tex]53-[/tex][tex](-40) = 93.3[/tex]

Probability that the man wins money from at least one of the sources, a lottery and a card game, is equal to  17/50.

Probability that he wins from first source = 1/100

Probability that he doesn’t wins from first source = 99/100

Probability that he wins from second source = 1/3

Probability that he doesn’t wins from second source  = 2/3

Probability that the man wins money from at least one of the sources = 1-(probability that the man wins no money from any of the sources)

[tex]=1-[(\frac{99}{100} )(\frac{2}{3} )] =1-(\frac{33}{50} )=\frac{17}{50}[/tex]

So, the required probability of winning the money by the man from at least one of the sources is 17/50.

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The equation is c = 31 + 0.13x and total cost on driving 180 miles is $54.4.

Firstly we will form the equation using one time charge and the product of number of miles and charge per mile. Then we will keep the value in equation to find the total cost.

Forming the equation -

c = 31 + 0.13x

Keep the value of x in formula for calculation of total cost.

c = 31 + 0.13×180

Performing multiplication on Right Hand Side of the equation

c = 31 + 23.4

Performing addition on Right Hand Side of the equation

c = $54.4

Thus, the equation for calculation of total cost is c = 31 + 0.13x and total cost is $54.4.

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We have a loan of 65 days.

The principal is $1250 and the interest is $7.75.

We have to find the annual simple interest rate.

We can express the interest of a loan of this type as:

where r = annual interest rate, t = period of the loan in days, I = interest and P = principal.

Then, we can rearrange the equation and replace with the values:

Answer: the annual simple interest rate is 3.4%.

To determine  probability with replacement, It uses sampling with replacement. In other words, you want to determine the likelihood of an event in which you choose a ball, card, or other object from a set of options and then swap it out after each choice.

Example:

Consider a scenario in which you wished to sample two people from a population of seven.

Those people are:

John, Jack ,Qiu, Tina, Hatty, Jacques, Des

Their names could be placed in a hat. If you sample with replacement, you would pick one name, put it back in the hat, and then pick a different name. Your two-name sample has the following potential outcomes:

John, John

John, Jack

John, Qui

Jack, Qui

Jack Tina

…and so on.

The two products you sample with replacement are independent. In other words, the outcome of one has no bearing on the other. The odds of picking the first name are 1/7, and the odds of picking the second name are 1/7.

P(John, John) = (1/7) * (1/7) = .02.

P(John, Jack) = (1/7) * (1/7) = .02.

P(John, Qui) = (1/7) * (1/7) = .02.

P(Jack, Qui) = (1/7) * (1/7) = .02.

P(Jack Tina) = (1/7) * (1/7) = .02.

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Answer:

y=(5/2)x-4

Step-by-step explanation:

1) You would have to find the slope by using the slope equations

(x1-x2)/(y1-y2)

(6-1)/(4-2)

Slope =5/2

2) the next is to find the y-axis

the line land on the x=0 at -4

y-axis=-4

3) plug into slope intercept form

y=mx+b

m=slope

b=y-axis

y=(5/2)x+(-4)

y=(5/2)x-4

Answer:

[tex]y=\frac{5}{2}x-4[/tex]

Step-by-step explanation:

1. we pick 2 points from a graph...one is (0,-4) and the other is (1,2)

2. we find the gradient between the two points using this equation m=[tex]\frac{y2-y1}{x2-x1}[/tex]

3. we plug the value in the equation

4. m = 5/2

5. equation of a straight line is y = mx +c

-where c is the intercept of the graph and m is the gradient

-4=5/2(0)+c

c =-4

therefore [tex]y=\frac{5}{2}x -4[/tex]

We can use the given points to find the slope

It means that every year, there are 1.4 million MORE households with personal computers

Step-by-step explanation:

Solve for y: -2 = y + 5/6

-2 = y + 5/6 subtract 5/6 from both sides:

-2 - 5/6 = y + 5/6 - 5/6

-2 - 5/6 = y

combine left side:

-17/6 = y

so:

y = -17/6

OR:

[tex]y = -2\frac{5}{6}[/tex]

Answer:

$91.08

Step-by-step explanation:

Interest = $90 × .012 = $1.08

Total amount = $90 + $1.08 = $91.08

Applying the law of indeces for the fraction with radicals, the value of A=3, b=14 and c=-5

In mathematics, the term radical expressions such that contain a square root. In this question, we have fractions at both sides of the equation with radicals.

To solve this question, let's see some laws below that will help us:

[tex] \sqrt[x]{a} = {a}^{ \frac{1}{x} } [/tex]

[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]

[tex] \frac{1}{ {a}^{x} } = {a}^{ - x} [/tex]

From the given equation; the left hand side will be simplified as follows;

[3^(1/7)]÷[3^(1/2)]=[3^[(2-7)/14]=3^(-5/14)

And the right hand side will be simplified as follows;

1÷[A^(c/b)]=A^-(c/b)

Hence, by comparing both sides of the equation after simplifying the fractional radicals, the value of A is 3, b is 14 and c is -5.

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The estimate of the impact that a successful preventive program might have can be derived from

attributable risk.

In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.

Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.

The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.

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The opposite for each number is: ( -8, 8), (-1,1), (-17,17), (31,-31) and (11,-11).

Thus, you can conclude that the opposite number of a positive number is a negative number. And the opposite number of a negative number is a positive number.

The question gives the follow numbers

1. -8 8

2. -1 -11

3. -17 17

4. 31 -31

5. 11 1

The opposite for:

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Answer:

a) £960

b) £576

Step-by-step explanation:

Hi!

Ok so since the store has a 20% sale we multiply 0.2 to the original amount it would have costed without the sale:

a) [tex]1200*0.2 = 240[/tex]

Then we subtract the number we got from the price:

1200 - 240 = 960

Now we do the same thing but this time add since we are trying to find the price of the table before the sale:

b) [tex]480*0.2 = 96[/tex]

480 + 96 = 576

Please ask me if you have any more questions!

and Have a great day! :)

Hello, in this question we will use the "Sinus Theorem".

The general formula of the Sine Theorem is as follows;

We are given the length of the two sides and the sine value of the angle of the unknown side. We also know the area of the triangle. Let's substitute the required values in this formula to get the result.

In the last step, we are left with a quadratic equation with one unknown. To solve this equation, we need to calculate the discriminant value.

There are only two roots of a quadratic equation with one unknown.

Thus our x values;

We cannot accept the first root [tex]x_1[/tex]. Because length cannot be a negative value.

Ans = [tex]x_{2}=\frac{-1+\sqrt{177} }{4}=3.076[/tex]