Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5

Answer:

Step-by-step explanation:

Answer:

Pay back  $ 67.79   in four weeks

Step-by-step explanation:

He will have to pay INTEREST FO

 59.99   x     .0325    x    4    = 7.7987  

     PLUS  the 59.99 that he borrowed

              = 67.79

By finding the magnitude and bearing, we conclude that the correct option is:

"about 29 miles at 25° south of west"

For a vector (x, y), the polar coordinates are the magnitude R and the bearing θ.

Such that:

[tex]R = \sqrt{x^2 + y^2} \\\\\theta = Atan(y/x)[/tex]

In this case, the original vector is (-26, -12), replacing that we get:

[tex]R = \sqrt{(-26)^2 + (-12)^2} = 28.6 \\\\\theta = Atan(-12/-26) = 24.7\°[/tex]

Where the angle is measured from the negative x-axis counterclockwise, so it is South of West.

Then we can describe this vector as:

"About 29 miles at 25° south of west".

The first option is the correct one.

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The height of the shipping box in the shape of a rectangular prism is 15 inches

The given parameters are:

Volume = 9000 cubic inches

Base dimensions = 20 inches by 30 inches

The height of the prism is then calculated using:

Height = Volume/Base Area

So, we have:

Height = 9000/(20 * 30)

Evaluate

Height = 15

Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches

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Answer:

5^2

Step-by-step explanation:

..................................................

Answer:

2 190km

Step-by-step explanation:

365×3= 1 095

1 095×2km= 2 190km

Answer

2 1/8

Step-by-step explanation 10–7 7/8=(10 – 7) + ( 0–7/8)= 3 +0 × 8 – 7/8= 3 + 08– 78=  3 + 0 – 78=  3 + -7/8 = 2 1/8

Answer:

Y= 3X-7

Step-by-step explanation:

the equation of the line has the formular

Y-Y1= M (X-X1)

here, M= slope= 3

X1=2 Y1= -1

Y--1= 3(X-2)

Y+1= 3X-6

Y= 3X-6-1

Y= 3X-7

Answer:

y=3x-7

Step-by-step explanation:

1. Use The Slope Formula

 y=mx+b

m=slope

b=y-intercept

2. Fill in the given values

y=3x+b

3. Use the given points to solve for b

-1=3*2+b

-1=6+b

-7=b

4. Final equation

y=3x-7

Answer:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

Step-by-step explanation:

Turning points (stationary points) occur when the gradient of a graph is zero.

To find when the gradient of the graph is zero, differentiate the function, set it zero, then solve for x.

Given function:

[tex]f(x)=-2x^2+x+6[/tex]

Differentiate:

[tex]\implies f'(x)=(2)(-2)x^{2-1}+(1)x^{1-1}+6(0)[/tex]

[tex]\implies f'(x)=-4x+1[/tex]

Set the differentiated function to zero and solve for x:

[tex]\implies f'(x)=0[/tex]

[tex]\implies -4x+1=0[/tex]

[tex]\implies 4x=1[/tex]

[tex]\implies x=\dfrac{1}{4}[/tex]

To find the y-coordinate, input the found value of y into the given function:

[tex]\implies f\left(\dfrac{1}{4}\right)=-2\left(\dfrac{1}{4}\right)^2+\left(\dfrac{1}{4}\right)+6[/tex]

[tex]\implies f\left(\dfrac{1}{4}\right)=\dfrac{49}{8}[/tex]

Therefore, the turning point of the function is:

[tex]\left(\dfrac{1}{4},\dfrac{49}{8}\right)[/tex]

answers

f=1/4=49/8

Step-by-step explanation:

identify the coefficients

a=-2, b=1

substitute the coefficient into the expression

x= -1/((2x(-2))

then solve it out the equation

x=1/4

evaluate the function x =1/4

f(x) =-2x²+x+6(1/4)

f=1/4=49/8

Answer:

110

50+50=100

5+5=10

100+10=110

(thats how i do mental math)

Answer: 38 dollars

Step-by-step explanation:

Check the picture below.

if the diameter of its base is 12, then its radius must be half that, or 6.

[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]

Answer:

120 meters

Step-by-step explanation:

The triangle area using Heron's formula

Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.

[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]

[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]

[tex]T=\sqrt{14400} =120[/tex]

Answer:

(-1 , -5)

Hope this helped you! I would appreciate a Brainliest, if you wouldnt mind!

Answer:

70= 5n+40

Step-by-step explanation:

(n=6 if you need it)

Hope this helps! ;-)

In order to find this answer, you will need to be able to make an inequality.

Step 1: Sophia makes $40 so start with that. 40

Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n

Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.

Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.

Equation: 40+5n *greater than or equal to sign* $70

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The equation for the flowing rate of aamir is as follows y  =  -12x  +360

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First of all let's write the slope-intercept form of the equation of a line, which is:

y   =  mx  +  c

So we just need to find to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

Negative slope because Amir is descending. So:

y    =  -   12x  +  b

To find, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point. Therefore, substituting this point into our equation:

y  =  -12x  +  b

0  =   -12(30)   +  b

b   =   360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

y  =  -12x  +360

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Answer:

11 meters per minute

Step-by-step explanation:

The rate at which Amir descended is equivalent to the rate of change of this relationship. In linear relationships, the rate of change is represented by the slope of the line. We can calculate this slope from any two points on the line.

Hint #22 / 2

Two points whose coordinates are clearly visible from the graph are

(

0

,

440

)

(0,440)left parenthesis, 0, comma, 440, right parenthesis and

(

40

,

0

)

(40,0)left parenthesis, 40, comma, 0, right parenthesis.

Now, to find the slope, let's take the ratio of the corresponding differences in the

�

yy-values and the

�

xx-values:

0

−

440

40

−

0

=

−

440

40

=

−

11

40−0

0−440

​

=

40

−440

​

=−11start fraction, 0, minus, 440, divided by, 40, minus, 0, end fraction, equals, start fraction, minus, 440, divided by, 40, end fraction, equals, minus, 11

The slope of the line is

−

11

−11minus, 11, which means that Amir descended at a rate of

11

1111 meters per minute.

The first and fourth quadrants of a coordinate plane. The horizontal axis is from zero to one hundred with a scale of ten and is titled Paprika in kilograms. The vertical axis is from negative three hundred to five hundred with a scale of one hundred and is titled Profit in dollars. The graph of the line is y equals eight x minus two hundred eighty.

Answer:

Let DC be the tower and BC be the building. Then,

∠CAB=45

o

,∠DAB=60

o

,BC=20 m

Let height of the tower, DC=h m.

In right △ABC,

tan45 o = AB/BC

1=20/AB

AB=20m

In right∆ABD,

tan 60°=BD/AB

√3=h+20/20

h=20(√3-1)m

Answer:

median: 80

first q: 60

third q: 100

min: 40

max: 110

Step-by-step explanation:

The median is the middle (piece of data), the middle line in the box. Min is smallest number. Max is biggest number. First quartile is the left side of the box. Third quartile is right side of box.

[tex]\text{Given that}~ x = 2,~ y = 3 ~ \text{and}~ z = -2\\\\\textbf{a)}\\\\2(x-y)=2(2-3) = 2(-1) = \boxed{-2}\\\\\textbf{b)}\\\\4x+3y-z = 4(2) +3(3) -(-2) = 8+9+2=\boxed{19}\\\\\textbf{c)}\\\\-2(3z+y) = -2[3(-2) +3] = -2(-6+3) = -2(-3) = \boxed{6}[/tex]

Answer:

=7*a-2

=7a-2

Step-by-step explanation:

_a-_

ATQ,

7 times means 7*

as per the question,

Nine times (7*) a number (a) minus two (-2)

Hope this helps you!! (ㆁωㆁ)

Answer:

A.

Step-by-step explanation:

I believe it is A. because there are the numbers that equal all together to get that domain.

Answer: Choice A

f(x) is exponential

g(x) is quadratic

========================================================

Explanation:

Exponential functions are when the variarble is in the exponent only.

Quadratic functions are polynomials with the largest exponent being 2.

Answer:

f(x) is exponential; g(x) is Quadratic

Answer:
1) 25
2) 61
3) 20
4) 25
5) 65.46

Explanation:

1) Use the formula " (n-2)180. N = the number of sides.
(25-2)180 = 4140

2) The sum of the polygon is 900.
(7-2)180 = 900
Add up all the numbers and variables then equal them to 900.

3) To find an interior of an 18-gon is the use of this formula:
(n-2)180 = Sum of the polygon
Sum / n

(18-2)180 = 2880
2880 / 18 = 160
180 - 160 = 20 ; Because they are supplementary.

4) (25-2)180 = 4140
4140 / 25 = 165.6

5) Copy the formula for explanation #3. But instead of an 18-gon, do 11-gon.  

The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

The expression is given as:

x² + 4x - 45

Expand the equation

x² + 4x - 45 = x² + 9x - 5x - 45

Factorize the expression

x² + 4x - 45 = x(x + 9) - 5(x + 9)

Factor out x + 9

x² + 4x - 45 = (x - 5)(x + 9)

Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)

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Answer:D

Step-by-step explanation:

i got it on edmentumn

Answer:

Step-by-step explanation:

1. The moment he started: 3 bacteria

1st hour: 3*2 bacteria = 3*[tex]2^{1}[/tex] bacteria

2nd hour: 3*2*2 bacteria = 3*[tex]2^{2}[/tex] bacteria

3rd hour: 3*2*2*2 bacteria = 3*[tex]2^{3}[/tex] bacteria

etc.

Each hour the number of bacteria multiplies by 2 (the power of 2 is increased by 1), therefore, [tex]B=3*(2)^{n}[/tex]

2. Exponential function has the form of [tex]f(x)=ab^{x}[/tex]

if a is greater than 0 and b is greater than 1, then it's exponential growth.

The answer is:

[tex]y=4^{x}[/tex]  (4 > 1)

3. If smth increases by 2.5% each time, that means that at first you had 100% and then it became 100%+2.5% = 102.5%. So each time we multiply the value by 1.025 (100*1.025=102.5).

4. Linear equation form: [tex]y=ax+b[/tex]

Quadratic equation form: [tex]y=ax^{2} + bx + c[/tex]

Exponential equation form: [tex]y=ab^{x}[/tex]

In this case, a = 3.8, b = -5.5, c = -4.8

5. (a) square root

(b) linear

(c) exponential

(d) quadratic

6. Each year the car's worth is multiplied by 0.82 (82%). Therefore, after n years, the value will be: V = 27 500 * [tex]0.82^{n}[/tex]

7. Neither first, nor second differences are constant in case of an exponential relation, because we do not add but multiply.

Ex. [tex]y=2^{x}[/tex]

values: 1 2 4 8 16 32...

1st diff: 1 2 4 8 16...

2nd diff: 1 2 4 8...

8. (a) [tex]7^{11} / 7^{7} = 7^{11-7} = 7^{4}[/tex]

(b) [tex](\frac{4}{9})^{12} *(\frac{4}{9})^{5} =(\frac{4}{9} )^{12+5}=(\frac{4}{9})^{17}[/tex]

(c) [tex]4^{11} / (4^{5})^{3} =4^{11} / 4^{5*3}=4^{11} /4^{15}=4^{11-15}=4^{-4}[/tex]

(d) [tex]8^{-6}*8^{3}=8^{-6+3}=8^{-3}[/tex]

Using the normal distribution and the central limit theorem, the probability the sample mean is more than 10 words is of 0.0210.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 8.6, \sigma = 4.3, n = 39, s = \frac{4.3}{\sqrt{39}} = 0.6885[/tex]

The probability that the sample mean is more than 10 words is one subtracted by the p-value of Z when X = 10, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{10 - 8.6}{0.6885}[/tex]

Z = 2.03.

Z = 2.03 has a p-value of 0.979.

1 - 0.979 = 0.021.

The probability the sample mean is more than 10 words is of 0.0210.

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