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The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1

A line is the distance between two points

Given the equation of a line expressed as 10x + 2y = -2. Determine the slope

2y = -10x -2

y = -5x - 1

Slope of the line is -5

The equation of a line in point-slope form is y - y1 = m(x-x1)

Substitute the point and the slope of the parallel line

y - 12 = -5(x  - 0)
y - 12 = -5x
y = -5x + 12

Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12

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Answer:

its d

Step-by-step explanation:

i got it

According to the results of each operation, it can be inferred that the word that is formed with the initial of each problem is TEPHRA.

To calculate the area of a rectangular prism we must use the following formula:

We can use this formula to solve several of the problems posed as shown below:

problem E

Volume = (15cm × 15cm) × 15cm

Volume = 225 × 15cm

Volume = 3,375 cm³

Problem H

Volume = (15cm × 18cm) × 12cm

Volume = 270 × 12cm

Volume = 3,240 cm³

Problem P

Volume = (7cm × 7cm) × 7cm

Volume = 49 × 7cm

Volume = 343 cm³

Problem R

Volume = (9cm × 12cm) × 8cm

Volume = 108 × 8cm

Volume = 864 cm³

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Answer:

1/3 of a chance

Step-by-step explanation:

3 red,           3 blue,       3 green

that all adds to 9 marbles and there are 3 out of 9 marbles that are green.

the probability is 3/9 or 1/3

Answer:

x= -7

Step-by-step explanation:

[tex]~~~~~~2(3x+4) = 7x-2x+1\\\\\implies 6x +8 = 5x+1\\\\\implies 6x -5x = 1-8\\\\\implies x = -7[/tex]

Answer:

20√3/3 or approx. 11.55 in.

Step-by-step explanation:

Draw an equilateral triangle with one height to one side.

The height divides the triangle into two congruent right triangles.

At the vertex where the height is, each angle of the small triangles is 30 deg.

The other acute angle of the right triangle measures 60 degrees.

The two right triangles are 30-60-90 right triangles.

The ratio of the lengths of the sides of a 30-60-90 right triangle is

1 : √3 : 2

The height is opposite the 60-deg angle, so it corresponds to the side with length √3 in the ratio.

The long leg measures 10.

The short leg measures 10/√3 = 10√3/3

The hypotenuse measures 20√3/3

The side of the equilateral triangle is the hypotenuse of each small right triangle.

Answer: 20√3/3 or approx. 11.55 in.

Answer:

c) 12

Step-by-step explanation:

since on the bar graph 12 occurs the most that is the mode so hope this helps!

Answer:

cos theta = 5/13

Step-by-step explanation:

sin theta = opp side / hypotenuse

opp side = 12   and hypotenuse = 13

Using the pythgorean theorem

opp ^2 + adj ^2 = hypotenuse ^2

12 ^2 + adj^2 = 13^2

144 + adj ^2 = 169

adj^2 = 169-144

adj^2 = 25

Taking the square root of each side

adj = 5

cos theta = adj / hypotenuse

cos theta = 5/13

Answer:

a = -1

Step-by-step explanation:

first you make the x 0 and the y 0

0 = (0 - 1)^2 + a

0 = (-1)^2 + a

then you deal with the exponent

0 = 1 + a

lastly you subtract everything by 1

-1 = a

a = -1

that is your answer

Answer:

1.28571

Step-by-step explanation:

is the answer

The probability of you running into a Mankey Pokemon and then a Pidgey Pokemonis 4/27.

Answer:

there is a 3 in 9 percent chance you can find a manky

Step-by-step explanation:

i say pidgey is better pedgiot is cool and very usefull and pidgey can help you in the vridian foreast becasue of all the bug types

Answer:

20 over 36

You cant put into mixed fraction

Answer: 2 2/9

Step-by-step explanation:

5/9 * 4 = 20/9 = 2 2/9

Answer:

Right rectangular pyramid

Solve for volume

V=550cm³

Base length

10cm

w Base width

11cm

Pyramid height

15cm

Step-by-step explanation:

Hope it helps.

The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

As we know, the sample size can be evaluated using the expression:

[tex]\rm ME = Z_c\sqrt{\dfrac{pq}{n}}[/tex]

or

[tex]\rm n = \dfrac{Z^2}{ME^2}(pq)[/tex]

Here ME = 1% = 0.01

p = 0.5, q = 0.5

Z at α 0.05   (because 95% confident)

= 1.960  

[tex]\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)[/tex]

n = 9604

Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

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Answer: Trust me if ur using acellus, the answer is 10

Step-by-step explanation: trust me, thank me later

William can run 10 laps in one hour with 4/15 same pace.

We have,

William ran 2 2/3 laps around a track in of an hour.

William keeps the 4/15 same pace.

So, William runs

= 2 2/3 ÷ (4/15)

= (8/3)÷ (4/15)

= 8/3 x 15/4

= 2 x 5

= 10 laps.

Thus, William runs 10 laps.

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The ordinary whole life will mature after 57 years. Then the annual premium (AP) and the semiannual premium will be $ 438.60 and $219.30.

A whole life insurance policy in which the premiums are paid for the duration of the insured's life. The contract somehow doesn't mature until the designated insured achieves the age of 100 or dies, whatever comes first.

Richard Henry takes out $25,000 of his ordinary whole life when he is forty-three years old.

The ordinary whole life will mature after 57 years.

Then the annual premium (AP) will be

[tex]\rm AP = \dfrac{\$ 2 5000}{57}\\\\AP =\$ 438.60[/tex]

Then the semiannual premium (SAP) will be

[tex]\rm SAP = \dfrac{\$ 2 5000}{57 \times 2}\\\\SAP =\$ 219.30[/tex]

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Answer:

1/3

Step-by-step explanation:

the probability of the first is 6/10 or simplified 3/5

she then repeats its without putting the marble back 5/9 (as she has to remove a green marble)

to find the odds multiply 5/9 and 3/5 you get 15/45 reduced to 1/3, so the probability is 1/3

Applying the definition of the diagonals of a rhombus, the value of m is -3, and the value of c is 26.

The diagonals of a rhombus are perpendicular to each other and therefore have slopes that are negative reciprocals.

Equation of diagonal DB is, y = 1/3x + 5.

Slope (m) of DB is 1/3.

Therefore, the slope (m) of diagonal AC would be, -3.

To find the equation of diagonal AC, substitute m = -3 and (5, 11) = (a, b) into y - b = m(x - a)

y - 11 = -3(x - 5)

y - 11 = -3x + 15

y = -3x + 15 + 11

y = -3x + 26

m = -3; c = 26

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Answer:

150

Step-by-step explanation:

h = hight

s = sides

surface = 10 x 15

surface = 150

(V = 10 x 10 x 15

(V = 100 x 15)

(V = 1500)

(Base area = B)

(B = Lenght x Width)

(B = 10 x 10)

(B = 100)

The total budget for the student film was $1300 and $481 was spent on costumes

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the total budget for the student film.

The student spent $481 on costumes, which was 37% of their total budget, hence:

37% of x = 481

0.37x = 481

x = $1300

The total budget for the student film was $1300 and $481 was spent on costumes

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Answer:

Delaney  solve for X by isolating it,  or getting it by it self

Step-by-step explanation:

5x−2(x+1)=1/4 (distribute the 2)

5x-2x - 2 = 1/4  (subtract 2x from 5x)

3x -2 +2 = 1/4 +2 (add 2 to both sides)

3x = 2_1/4  (put 2 &  1/4 together)

3x = 9/4 (convert 2_1/4 to  9/4)

[tex]\frac{1}{3}[/tex]*3*x =  [tex]\frac{1}{3}[/tex]*[tex]\frac{9}{4}[/tex]  ( mutilply both sides by  1/3)

X = 3/4   (cross multiply )

There you go

X = [tex]\frac{3}{4}[/tex]

Answer:

[tex]\huge\boxed{\bf\:x = \frac{3}{4}}[/tex]

Step-by-step explanation:

[tex]5x - 2(x+1)=\frac{1}{4}[/tex]

Use the distributive property for 2(x + 1).

[tex]5x - 2x - 2= \frac{1}{4}[/tex]

Subtract 2x from 5x.

[tex]3x - 2= \frac{1}{4}[/tex]

Bring 2 to the right hand side of the equation .

[tex]3x = \frac{1}{4} + 2[/tex]

Add 1/4 & 2.

[tex]3x = \frac{1}{4} + \frac{8}{4} \: \: [LCM = 4]\\3x = \frac{9}{4}[/tex]

Now, bring 3 to the right hand side of the equation .

[tex]x = \frac{9}{4} \times \frac{1}{3}\\x = \frac{9}{12}\\\boxed{\bf\:x = \frac{3}{4}}[/tex]  

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Answer:

Solve for X

Step-by-step explanation:

X = 6

Answer:

If you're trying to find x, it is [tex]\sf -6[/tex]

Divide each side by factors that do not contain the variable.

Step-by-step explanation:

you understand how a venn diagram works ?

you have to put elements or the amount of elements into the different segments. there are segments that belong to only one category, segments with elements that are shared between 2 neighboring categories, and in this case 1 segment in the middle that has all elements shared between all 3 categories.

so, we know, the total of all elements (fans) is 36.

now imagine we place every fan exactly into the segment, where his or her allegiance lies.

the easiest way to start is with the center. there are 5 fans there, so write 5 in there.

these 5 people are therefore also part of the total number of Wild fans, of the Viking fans and the Twins fans, and of all the shared segments, of course.

so, we have only 7-5 = 2 shared Wild and Vikings only fans (in the segment above the center segment). they are not fans of the Twins.

we have 9-5 = 4 shared Wild and Twins only fans (in the segment left below the center). they are not fans of the Vikings.

we have 11-5 = 6 shared Vikings and Twins only fans (in the segment right below the center). they are not Wild fans.

what is left for the pure, single team fans ?

the Wild have 12-5-2-4 = 1 pure fan.

the Vikings have 16-5-2-6 = 3 pure fans.

the Twins have 22-5-4-6 = 7 pure fans.

so, we have 1+3+7 = 11 pure fans, 2+4+6 = 12 double team fans, and 5 all 3 teams fans. but that is only 28 fans altogether.

so, something is not right with the data here.

I assume we have 28 total from now on.

for Viking AND Wild fans we have the 2 fans that only like these 2 teams plus the 5 that like all 3 teams (including the Vikings and the Wild) = 7 out of the total of 28 fans.

the probability to pick one of them is then

7/28 = 1/4 =0.25

if the total of 36 questioned fans is still there and explained maybe outside of the given venn diagram (e.g. were asked but are fans of a totally different team or of no team at all), then the probability would be

7/36 = 0.194444444...

Answer:

[tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex]

Step-by-step explanation:

If you want to make ordering these three numbers to be easier, it's best to find their exact or approximate values. [tex]\sqrt[3]{27}[/tex] is equivalent to 3, and [tex]\sqrt{7}[/tex] is less than [tex]\sqrt{9}[/tex] - which is 3 - so you know that [tex]\sqrt[3]{27}[/tex] is going to be the greatest number out of the set. Since [tex]\sqrt{7}[/tex] is approximately equal to 2.65, and [tex]2\frac{1}{3}[/tex] is approximately equal to 2.33, you can conclude that the correct order from least to greatest is going to be [tex]2\frac{1}{3}[/tex], [tex]\sqrt{7}[/tex], [tex]\sqrt[3]{27}[/tex].

Answer:

2x+1

Step-by-step explanation:

The fuction of g(x) is 2x

And the function of f(x) is x+1

So we plug in g(x) in f(x)

2x would be plugged in x in x+1 then we add the 1

(2x)+1

Answer:

8976 9996 2064 15201 10763 13407 12825 14454 11311

Step-by-step explanation:

Theoretical probability describes how likely an event is to occur. We know that a coin is equally likely to land heads or tails, so the theoretical probability of getting heads is 1/2. Experimental probability describes how frequently an event actually occurred in an experiment.

EXAMPLE-

Theoretical probability:

For instance, since a flipped coin has two sides and each side is equally likely to land up, the theoretical probability of landing heads (or tails) is exactly 1 out of 2.

Experimental probability:-

For example, the probability of getting a head if you flip a coin is ½, since only 2 things could happen (a head or a tail) and each one has an equal chance of occurring.

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