Write the equation of the line with a slope of 4 that contains the point (5, 8).

Answer:

B.5: 5^2(-3)(+7)

Step-by-step explanation:

1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).

2. ^2 is also a factor, so now its 5^2(^2+4-21)

3. Factor by Grouping 5^2(^2−3+7−21)

4. Factor by Grouping 5^2((−3)+7(−3))

5. Factor by Grouping 5^2(−3)(+7)

Thats your final answer.

Answer:

13/9

Step-by-step explanation:

Given

5/9 + 8/9

Both fractions have the same denominator.

Therefore, pick one of the denominator and add the numerators

5/9 + 8/9

= (5+8) / 9

= 13/9

5/9 + 8/9 = 13/9

Answer:

I think that there might be some complex differential equation

stuff going on here if this were in the real world, but for the sake of this problem... may I suggest that the tank is filling up  at a rate of

1/8 of a tank per hour...

it is evaporating at a rate of 1/12 tank per hour

you can subtract the rates

1/8 - 1/12 = 12/96- 8/96 = 3/96 = 1/32 tank/hr

so to fill the tank it should take 32 hours...

I think the logic and math work... lets see if someone else will verify this analysis?

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

profit percentage = (profit/cost price) * 100

selling price = 600

profit = 600 * 20/100 = 120

cost price = 600-120 =480

profit percentage = (120/480) * 100 = 25

Answer:

bạn cực ngu

Step-by-step explanation:

bạn cực kì ngu

Answer:

101

10+6+16+6*5

I hope it's correct

Answer: y = -1x + 1

Step-by-step explanation:

(choose two points on the line to find the slope)

(0,1) and (2,-1)

(slope = m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-1}{2-0}=\frac{-2}{2} =-1[/tex]

y = mx + b, (0,1), (2,-1), m=-1

(both points work and yield the same equation)

[tex]y=mx+b\\1=-1(0)+b\\b=1\\y=-1x+1[/tex]

Answer:

x = 94, y = 76

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral sum to 180° , then

x + 86 = 180 ( subtract 86 from both sides )

x = 94

and

y + 104 = 180 ( subtract 104 from both sides )

y = 76

Answer:

$21,616.26.

Step-by-step explanation:

24000 =P(1 + 0.03/4)^14

P = 24000 / (1 + 0.03/4)^14)

21,616.26.

=

The present value that will grow to ​$24000 if interest is 3​% compounded quarterly for 14 quarters is $21,482.40

To find the present value that will grow to $24,000 at 3% interest compounded quarterly for 14 quarters, we use the formula for compound interest:

[tex]PV = FV / (1 + r/n)^{(n*t)}[/tex]

Where:

PV = Present Value

FV = Future Value ($24,000)

r = Annual interest rate (3% or 0.03 as a decimal)

n = Number of compounding periods per year (quarterly, so n = 4)

t = Number of years (14 quarters = 14/4 = 3.5 years)

Substitute the values into the formula:

PV = [tex]$24,000 / (1 + 0.03/4)^{(4*3.5)}[/tex]

PV = [tex]$24,000 / (1 + 0.0075)^{(14)}[/tex]

PV = [tex]$24,000 / (1.0075)^{14}[/tex]

PV ≈ $21,482.40 (rounded to the nearest cent)

Therefore, the present value required for it to grow to $24,000 in 14 quarters at 3% interest compounded quarterly is approximately $21,482.40.

In this explanation, we used the formula for compound interest to calculate the present value (PV). The formula accounts for the future value (FV), the annual interest rate (r), the number of compounding periods per year (n), and the time in years (t). By plugging in the given values and performing the calculations, we arrived at the present value of approximately $21,482.40.

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Answer:

x is 28°

Step-by-step explanation:

Alternate angles of parallel lines:

[tex]{ \sf{x = \frac{1}{2} \times 56 \degree }} \\ { \sf{x = 28 \degree}}[/tex]

Answer:

Hello,

28°

Step-by-step explanation:

Calculate the complementary angle of x =y

In the triangle on the right :

y+y+56°=180°

y=62°

So x=90°-62°=28°

Answer:

(2, -6)

Step-by-step explanation:

u = (5, 0)

v = (-2, -1)

w = (-6, 6)

(5, 0) + 3(-2, -1) - 1/2(-6, 6)

= (5, 0) + (-6, -3) + (3, -3)

= (2, -6)

Answer:

[tex]n=35[/tex]

Step-by-step explanation:

From the question we are told that:

Standard Deviation [tex]\sigma=4min[/tex]

Let

[tex]CI=95\%[/tex]

Since

Significance level [tex]\alpha[/tex]

[tex]\alpha =1-CI[/tex]

[tex]\alpha =1-0.95[/tex]

Therefore

[tex]Z_{\alpha/2}=Z_{0.025[/tex]

[tex]Z_{\alpha/2}}=1.96[/tex]

Generally the equation for Sample size is mathematically given by

[tex]n = (Z_{\alpha/2}* \frac{\sigma}{E})^2[/tex]

[tex]n= \frac{1.96 * 3}{1}^2[/tex]

[tex]n=35[/tex]

Answer:

C

Step-by-step explanation:

The angles are congruent by CPCTC as they correspond with one another.

Answer:

The final answer, D

Step-by-step explanation:

Source: Done this question before

Answer:

9x-10y+60=0

Step-by-step explanation:

slope is,

m = (6-(-3))/(0-(-10))

= 9/10

b = -3-(9/10)×(-10)

= 6

So, the equation of the line is,

y = 9x/10+6

or, 9x-10y+60=0

Answered by GAUTHMATH

Answer:

y = 3 + 0.40x

Step-by-step explanation:

Fixed cost of taxi fare = $3

Additional cost = $0.40

Let

y = Total cost

x = number of kilometers

The equation:

Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)

y = 3 + 0.40x

Answer:

3.88

Step-by-step explanation:

1. Subtract 5.74 from both sides of the equation

9.62-5.74=3.88

Answer:

The Constant is 9/2

Answer: (a): Good course, (b): Bad course

Step-by-step explanation:

Firstly, because the standard deviation of the good course results is lower, there is less variation so he performs more consistently there.

Secondly, the trick with the second question is that while the mean of the bad course is slightly less, the standard deviation is quite a lot higher than that of the good course, so it's more likely that the highest single test score belongs to the bad course.

Answer:

Call option and put option ( D )

Step-by-step explanation:

During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.

Call option is used when the trader is currently holding a short position

Put option is used when the trader is currently holding a long position

Answer:

copy and paste...

Step-by-step explanation:

Answer:

(x+2,y-4)

Step-by-step explanation:

The correct answer is (x+2, y-4)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point either up, left, right or down.

ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)

The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).

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Answer:

A

Step-by-step explanation:

The answer is 0.6^(x)-2. Answered by Gauthmath

From the graph, the equation that's is represented is A. 0.6x - 2.

From the equation, on the coordinate plane, the curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).

Here, based on the family the graph below belongs to, the equation represented is the first equation which is 0.6x - 2.

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Answer:

I say the fourth one just because

y = -2x-3

Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope  , then a line perpendicular to this has slope . That means the slope of our perpendicular line is

The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.

To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.

First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:

8x - 2y = 4

-2y = -8x + 4

Divide both sides by -2:

y = 4x - 2

The slope of the given line is 4.

The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.

Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

Substituting the values, we have:

y - 3 = (-1/4)(x - 4)

Expanding and simplifying, we get:

y - 3 = (-1/4)x + 1

Adding 3 to both sides, we have:

y = (-1/4)x + 4

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Answer:

a. linear pair 5 & 6

b. pair of vertical angles 5 & 2

c. pair of angles that are congruent 3 & 8

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.

Answer:

AOB

Step-by-step explanation:

An obtuse angle is larger than 90 and less than 180

COB = 90

AOB is larger than COB and less than 180

Answer:

4/8= 2/4=1/2= 50%

Step-by-step explanation:

4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%

Answer:

320 minutes (5 hours and 20 minutes).

Step-by-step explanation:

2 hours and 17 minutes = 137 minutes

137 + 84 + 99 = 320

Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.