Given m||n, find the value of x.

Answer:

x = 3

Step-by-step explanation:

5x + 15 = 10x

-5x            -5x

15 = 5x

/5     /5

3 = x

Answer:

Jacob

Brennan

Adrienne

Valerie

Step-by-step explanation:

Positive and nonlinear follows the first one so that's Jacob's

clustering is in the fourth one so that's Valerie's

2 and 3 have an outlier so look at next one

negative and linear is the third one so that is Adrienne's and the second one is Brennan's

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

y=-1/4x+1

Step-by-step explanation:

Hi there!

We're given the point (-8,3) and a slope of -1/4

lines are typically written in the formula y=mx+b, where m is the slope and b is the y intercept

as we are already given the slope, we can substitute its value into the equation

substitute -1/4 as m

y=-1/4x+b

now we need to find b

as the equation passes through the point (-8,3),we can use it to solve for b

substitute -8 as x and 3 as y

3=-1/4(-8)+b

multiply

3=2+b

subtract 2 from both sides

1=b

substitute 1 as b

y=-1/4x+1

D) Volume

Hope it helps you

Answer:

4/5

Step-by-step explanation:

if it take 1/4 of an hour to mow 1/5 of his yard.

First you have to find out what is 1/4 of an hour which in order to find you have to multiply 1/4 by 60 because it has 60 mins in an hour. You now have 15 mins and we already know there are 60 mins so we divide 60 by 15 which give you 4 then you multiply 1/5 by 4 which gives you 4/5 or 0.8.

Answer:

1 3/8

Step-by-step explanation:

We are to add 1/2 + 1/4 + 5/8

[tex]\frac{1}{2} + \frac{1}{4} + \frac{5}{8}[/tex]

[tex]\frac{4 + 2 + 5}{8}[/tex] = 11/8 = 1 3/8

Answer: 1 3/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

take 53 degree as reference angle

using tan rule

tan 53=opposite/adjacent

1.32=BC/18

1.32*18=BC

23.76=BC

23.8=BC

Complete question is;

Which statements about functions g(x) = x² - 4x + 3 and f(x) = x² - 4x are true? Select all that apply.

A. The vertex of the graph of function g is above the vertex of the graph of function f.

B. The graphs have the same axis of symmetry.

C. Function f has a maximum value and function g has a minimum value.

Answer:

Options A & B are correct

Step-by-step explanation:

I've drawn and attached a graph showing the functions f(x) and g(x).

The function f(x) is depicted by the blue curve while the function g(x) is depicted by the red curve.

Now, from the graph attached, we see that the vertex which is the highest point of the graph is;

for f(x); (2, -4)

For g(x); (2, -1)

Thus,the vertex of the function g is see to be higher than that of f from the graph. So option A is correct.

Axis of symmetry is a vertical line that divides the parabola of a graph into 2 congruent parts. This means it is a vertical line that passes through the vertex.

From the graph, we can see both of their vertex have their x value as 2. Thus, their axis of symmetry are the same.

So option B is also correct.

The function will have a maximum value if the y-value at that point is larger than all other y-values while it's a minimum value if the y-value at that point is lesser than all other y-values on the graph.

In the attached graph, both parabola have a minimum value as they both have a lowest y-value.

Thus, option C is not correct.

Answer:

The probability is 3/10

Step-by-step explanation:

So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10

Answer:

Radius = 17.

Step-by-step explanation:

If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2

Comparing with the given eqn. of circle, we find, r2=289 Hence, radius  is 17

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

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Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I=PRN

=4500×(4.75/100)×3

=$641.25

Answer:

Step-by-step explanation:

its b

Answer:

90 Minutes

Step-by-step explanation:

If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount

30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.

90 minutes

So 27 = 30%

30% + 30% + 30% = 90%

 27 +   27  +  27  = 81

30% ÷ 3 = 10%

27 ÷ 3 = 9

90% + 10% = 100%

81 + 9 = 90

Answer:

40

Step-by-step explanation:

52= 1/2(64 + x)

52 = 32 + 0.5x

52-32= 32-32 + .5x

20=.5x

Divide both sides by .5x

X = 40.

Answer:

there were 20 two point questions =

there were 30 five point questions

Step-by-step explanation:

Brandon took a 50-question exam worth a total of 160 points. There were x two-point questions and y five-point questions. How many of each type of question were on the exam?

x + y = 50 eqn 1

2x + 5y = 160 eqn 2

this can be solved using simultaneous equation

multiply eqn 1 by 2

2x + 2y = 100 eqn 3

subtract eqn 3 from 2

3y = 60

y = 20

Substitute for y in eqn 1

x + 30 = 50

x = 20

Answer:

yes because 3 is in - and it is less than 0

Answer:

Yes

Step-by-step explanation:

-3x ≥ 12

Divide both sides by -3

When multiplying or dividing by a negative the inequality must be reversed

x ≤ -4

Answer:

[tex]\displaystyle r = 7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3} r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

V = 294π

h = 18

Step 2: Solve for r

Answer:

mark did cause it said mark rented his books everyday and it was represented on the table

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

576 yards

Step-by-step explanation:

Answer:

a) distributive property

b) combining like terms

c) commutative property of addition

Answer:

its is C because the other ones are obvious wrong. So it has to be C plus i did this test.

Step-by-step explanation:

The exponential regression equation that fits the given data is [tex]y = 0.755 * e^{(0.071 * x)}[/tex]

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

Using the first and last data points (4,1) and (600,6), we can set up a system of two equations in two unknowns:

ln(y) = ln(a) + b * x1

ln(y') = ln(a) + b * x2

where x = 4, y = 1, x' = 600, and y' = 6. Taking the difference between the two equations, we get:

ln(y'/y) = b * (x' - x)

Solving for b, we get:

b = (1/(x' - x)) * ln(y'/y)

Substituting the values, we get:

b = (1/(600-4)) * ln(6/1)

b = 0.071

To find ln(a), we can use either of the two equations with the known values of ln(y) and b. Using the first equation, we get:

ln(y) = ln(a) + b * x

Substituting the values, we get:

ln(1) = ln(a) + 0.071 * 4

ln(a) = -0.279

Now that we have the values of ln(a) and b, we can convert them back to the exponential equation:

ln(y) = -0.279 + 0.071 * x

y = e^(-0.279) * e^(0.071 * x)

y = 0.755 * e^(0.071 * x)

This is the exponential regression equation that fits the given data.

Learn more about logarithmic functions here:

https://brainly.com/question/3181916

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Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91