Jolon used the slope-intercept form to write the equation of a line with slope 3 that passes through the point (5, –2). His work is shown below.

Step 1: Negative 2 = 3 (5) + b
Step 2: negative 2 = 15 + b
Step 3: Negative 2 + 15 = 15 + 15 + b
Step 4: Negative 13 = b
Step 5: y = 3x – 13

Analyze the steps. In which step did the Jolon make an error?
He switched the x- and y- values in step 1.
He multiplied incorrectly in step 2.
He added 15 to both sides in step 3.
He forgot to add the b-value in step 5.

Answer:

923.63

Step-by-step explanation:

Answer:

v=3.14×r^2xh

v= 3.14 x 7^2x3

v = 461.58 in3

double the height

v=3.14 × 7^2 ×6

v= 923.6 in3

Answer:

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangleStep-by-step explanation:

Using it's concept, it is found that the experimental probability of getting a 4 or a 6 is of 0.2833 = 28.33%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that the image gives that 13 + 11 + 9 + 8 + 10 + 9 = 60 trials, 8 + 9 = 17 resulted in a 4 or a 6, hence the probability is given by:

p = 17/60 = 0.2833.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

y= -x + 9 (or A)

Step-by-step explanation:

Edge

Answer:

a) This is not a random sample

b) The generalization from this sample would not be valid

Step-by-step explanation:

No the sample is not random. If the questionnaire would had been send to any five students in a class irrespective of whether they are among the top five, then the sample could be referred as random sample.

The marks of top five students in any grade would give an average value that will be an outlier to the average of marks of all students with in a grade.

Hence, the generalization from this sample would not be valid

Answer:

Step-by-step explanation:

TURKEY

The definition of congruence = yellow or number 2

If 2 lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel =  purple or number 6

Vertical angles are congruent = green or number 3

Given= orange or number 1

Definition of supplementary= blue or number 4

Substitution= red or number 5

I think those are the right answers for the turkey one. If it's not (but I'm pretty sure it is) But if it's not, then switch the yellow and green. Blue and red.

HAT

given=a||b orange number 1

vertical angles are congruent= green or number 2

definition of congruency= blue or number 3

definition of supplementary angles= yellow or number 4

If  two parallel lines are cut by a transversal..... = purple or number 5

subsitution= red or number 6

Just saying, I might've done something wrong since it is late at night for me, but sorry just in advance. But I know for a fact that most of my answers are right

Look at the the angles inside

Hence

Answer:

A

Step-by-step explanation:

do the exponents. (5 times 5)

then multiply 2 x 25

Answer:

the answer is A. 2 * 5^2

Step-by-step explanation:

Because 5^2 really means 5 * 5 which is 25 * 2 is 50

Hope this helps

Answer:

C.565 in.3 yeah maybe

Answer:

180°

Step-by-step explanation:

The given information are;

The of the object = 180°

Therefore, a line drawn though the a point on the preimage passing through the center of rotation

A second line is drawn from the center of rotation, towards the direction of the expected location of the image of the chosen point on the preimage which should in this case be 180° and the distance from the location of the point on the image to the given center of rotation should be the same as the distance of the point of the preimage from the given center of rotation.

Answer:90

Step-by-step explanation:

did it

The area under the shaded region from 1 to 2 is 0.14

Probabilities actually define the percentage of the happening of an event

Here the shaded region shows  the probability of the z-scores

The shaded region 1 to 2 is represented as:

[tex]P(1 < z < 2)[/tex]

By using the probability of z-score we can have

[tex]P(1 < z < 2)=P(z < 2)-P(z < 1)[/tex]

From the given standard normal table:

[tex]P(z < 2)=0.9772[/tex]

[tex]P(z < 1)=0.8413[/tex]

So, we have:

[tex]P(1 < z < 2)=0.9772-0.8413[/tex]

[tex]P(1 < z < 2)=0.1359[/tex]

The approximated value will be

[tex]P(1 < z < 2)=0.14[/tex]

Thus the area under the curve shaded is 1 to 2 is 0.14

To know more about Z- probability follow

https://brainly.com/question/25638875

Answer:

Answer:

x=-1

y=10/3

Step-by-step explanation:

You can solve the system of equations by applying the elimination method as following:

- Add both equations, then:

- Finally, you must substitute the value of x obtained into one the original equations and then you must solve fot y:

Answer:

9 students in music class.

Step-by-step explanation:

In art there are 4 and since there are 8 more 8 + 4 = 12. so there are 12 in Art.

4 x _ = 12. —> 4 x 3 = 12.
so we need to do the same for music class.

For music there are 3.
so we multiply by 3 like we did with the 4.

3 x 3 = _ —> 3 x 3 =9.
so there are 9 students in music class.

Answer:

No solution

Step-by-step explanation:

Answer:

$0.29

Step-by-step explanation:

1.74 divided by 6

Answer:

Direct Variation is a relation that is of the form y = mx.

and

Partial Variation is a relation that is of the form y=mx+b

Explanation:

This is a simple way to see the difference between them.

Hope This help you!

Answer:

x = 145 degrees

Step-by-step explanation:

In leftmost triangle, missing angle :

= 180 - (90 + 35)

= 55 degrees

Top angle of middle triangle :

= 180 - (60 + 55)

= 180 - 115

= 65 degrees

Bottom angle of middle triangle :

= 180 - (90 + 65)

= 25 degrees

Linear pair

= 180 - 25

=> x = 145 degrees

Step-by-step explanation:

so, what is the question ?

all you are giving us here are some facts about what's going on. but what is the goal ? what do we need to find out ?

is it when the bacteria cultures have the same population ?

I assume that for my following answer :

"once every 2 hours" can be expressed by "x/2". with x being hours. so, instead of "x", which would mean "once every hour", we use "x/2".

"doubles (once) every 2 hours" is then

2×2×2×...×2 doubles on how many units of 2 hours we have.

this is

2^(x/2)

this is the factor we need to multiply with everything we want to behave that way (to double in size every 2 hours).

in our case here : 50 bacteria.

so, Colby's bacteria culture function is

c(x) = 50 × 2^(x/2)

similar for jaquan:

j(x) = 80 × 2^(x/3)

as his culture doubles every 3 hours.

now for the assumed question, when will both cultures have the same population ?

it is for that value of x that makes both function to deliver the same functional result.

50 × 2^(x/2) = 80 × 2^(x/3)

5 × 2^(x/2) = 8 × 2^(x/3)

now we use the log2 function on both sides and get

log2(5 × 2^(x/2)) = log2(8 × 2^(x/3))

remember the laws of logarithm. particularly

log(a×b) = log(a) + log(b)

and

loga(b) = logc(b)/logc(a)

log2(5) + log2(2^(x/2) = log2(8) + log2(2^(x/3)

log2(5) + x/2 = log2(8) + x/3 = 3 + x/3

3×log2(5) + 3x/2 = 9 + x

2×3×log2(5) + 3x = 2×9 + 2x

6×log2(5) + 3x = 18 + 2x

x = 18 - 6×log2(5) = 18 - 6×ln(5)/ln(2) = 4.068431431... hours

so, after a little bit more than 4 hours both bacteria cultures reach the exact same number of population : 204.8

which is, of course, only theoretical, as there cannot be "part bacteria" in the cultures.

now, we could calculate the x for when c(x) = 204, and the x for when c(x) = 205.

and then the same for j(x) and then see if or what overlap between these two x intervals there is.

during this overlap period both cultures will have the same (whole number) amount of bacteria.

but I think this is a topic for another question, as I am not even sure that I addressed the true original question.

Answer:

x<85

Step-by-step explanation:

first we change the sentence in formula as the following

2x‒58<112

then we can solve easly

2x<112+58

2x<170

2x/2<170/2

x<85

i think this is clear &easy to understand .i hope it helps you

Answer:

[tex]\frac 13[/tex]

Step-by-step explanation:

All three shows she likes are Hamilton, Aladdin, and Thriller.

But she can watch only two shows among the three shown.

The possible combination of the shows she can watch are

(Hamilton and Aladdin), (Aladdin and Thriller) and (Hamilton and Thriller).

So, the total number of possible events (available options)= 3.

As we have to determine the probability of watching Aladdin and Thriller, so here Aladdin and Thriller is the favorable event.

So, the number of favorable event=1

Now,

[tex]\text{Probability}=\frac{\text{Total number of possible events}}{\text{Total number of favorable events}}[/tex]

[tex]=\frac{1}{3}[/tex]

Hence, the probability that she sees Aladdin and Thriller is [tex]\frac 1 3[/tex].

The scale factor is the ratio of the second triangle length to the first triangle length. Then the scale factor is 8.

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Two triangles have corresponding side lengths of 8 centimeters and 64 centimeters.

Then the scale factor will be

[tex]\rm Scale \ factor = \dfrac{Side \ of \ second \ triangle }{Side \ of \ first \ triangle } \\\\\\Scale \ factor = \dfrac{64}{8}\\\\\\Scale \ factor = 8[/tex]

The scale factor is 8.

More about the dilation link is given below.

https://brainly.com/question/2856466

Answer:

The answer is 8:)

Step-by-step explanation:

Answer: im guessing  68.50 kg (y = –133.18 + 115.91 × 1.74 m).

Step-by-step explanation:

Answer:

Not happy with it! :)

Step-by-step explanation:

I dont get the point. its a pain to change the time on the clock and i hate getting up early!! Not a early lol

Have an amazing day!!

PLEASE RATE!

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Explanation:

The "per cupcake" means "for each cupcake" or "for 1 cupcake".

To get that initial "8 cupcakes" into "1 cupcake", we divide both given values by 8

The ratio 8 cupcakes : $32 then becomes 1 cupcake : 4 dollars

In other words, the unit cost is 4 dollars per cupcake.

Answer:

area= 452.39

circumference= 75.40

Step-by-step explanation:

circumference is equal to 2 * pi * r

area is equal to pi * r^2

circumference = 2 * pi * 12 = 75.40

area = pi * 12^2 = 452.39

hope this helps!

Answer:

abc def ghi jkl mno pqr Stu vwx yz

Given:

The equation is

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4}{10}=\dfrac{2}{5}[/tex]

To find:

Whether the given equation is true or not.

Solution:

In addition of two fractions, we can not add numerator and denominator separately. First we need a common denominator, then we add numerators.

We have,

[tex]\dfrac{1}{2}+\dfrac{3}{8}[/tex]

Taking LCM, we get

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\times 4+3}{8}[/tex]

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{4+3}{8}[/tex]

[tex]\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{7}{8}\neq \dfrac{4}{10}[/tex]

So, the given equation is not true.

Therefore, the correct option is B.

[tex]9 - 4r > 5[/tex]

Plus sides 4r

[tex]9 - 4r + 4r > 5 + 4r[/tex]

[tex]9 > 4r + 5[/tex]

Subtract sides -5

[tex]9 - 5 > 4r + 5 - 5[/tex]

[tex]4 > 4r[/tex]

[tex]4r < 4[/tex]

Divided sides by 4

[tex] \frac{4}{4}r < \frac{4}{4} \\ [/tex]

[tex]r < 1[/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

[tex]\boxed{\underline{\text{SOLVING AN INEQUALITY}}}[/tex]

Given:

The inequality must be solved.

The process of solving an inequality consists of determining the values of the variable that make the statement true.

The definition of inequality is where one quantity is greater than or less than another.

Solutions:

First, subtract by 9 from both sides.

[tex]:\Longrightarrow \sf{9-4r-9 > 5-9}[/tex]

Solve.

5-9=-4

-4r>-4

Multiply by -1 from both sides.

[tex]\Longrightarrow: \sf{\left(-4r\right)\left(-1\right) < \left(-4\right)\left(-1\right)}[/tex]

Solve.

4r<4

Divide by 4 from both sides.

4r/4<4/4

Solve.

4/4=1

[tex]\Longrightarrow: \boxed{\sf{r < 1}}[/tex]

I hope this helps, let me know if you have any questions.

Learn more about how to solve inequality:

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