40pts and a brainliest to the person who answers this question with detailed explanations and steps to solve shown.

Find y. Give your answer in the simplest form.​

Answer:

a and b are positive

Step-by-step explanation:

We are given that

[tex]a-3>b-3[/tex]

[tex]b>4[/tex]

We have to find that a and b are positive or negative.

We have

[tex]b>4[/tex]

It means b is positive and greater than 4.

[tex]a-3>b-3[/tex]

Adding 3 on both sides

[tex]a-3+3>b-3+3[/tex]

[tex]a>b>4[/tex]

[tex]\implies a>4[/tex]

Hence, a is positive and greater than 4.

Therefore, a and b are positive

Answer:

A

Step-by-step explanation:

Slope = term that multiply x

y intercept = the number without a variable

Answer:

Mean = 83.15

Median = 90

Mode = 88

Range = 110

Outlier = 5

Step-by-step explanation:

Mean - (88+92+76+42+88+90+100+110+115+5+88+92+95)/2 = 83.15

Median - 5, 42, 76, 88, 88, 88, 90, 92, 92, 95, 100, 110, 115 = 90

Mode - 88, 92, 76, 42, 88, 90, 100, 110, 115, 5, 88, 92, 95 = 88

Range - 115 - 5 = 110.

Outlier - 88, 92, 76, 42, 88, 90, 100, 110, 115, 5, 88, 92, 95 = 5

hope it helps :)

please mark brainliest!!! (took a lot effort!)

Answer:

Step-by-step explanation:

Arrange the data from the lowest to the highest value ( after you rearrange them count to see if you still have the same amount of values -13 numbers)

5, 42, 76, 88, 88, 88, 90, 92, 92, 95, 100, 110, 115

Mean: sum up all the values /number of values

mean = (5+42+76+88+88+88+90+92+92+95+100+110+115)/13 ≅83.15

Median: is the number in the middle (or if you have an even amount of numbers you do the average of the 2 middle numbers)

median = 90

Mode: is the number that appears the most (a data set can have more than one mode if different numbers appear with the same frequency )

mode= 88

Range: is the difference between the biggest and smallest value

range = 115-5 = 110

Outlier: is a value that is significantly different than the rest of the values

outlier = 5

Answer:

The solutions for x are [tex]x = 4[/tex] and [tex]x = -1.5[/tex].

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

2x² - 5x - 12 = 0

This means that [tex]a = 2, b = -5, c = -12[/tex]

Solution:

[tex]\Delta = (-5)^2 - 4(2)(-12) = 121[/tex]

[tex]x_{1} = \frac{-(-5) + \sqrt{121}}{2*2} = 4[/tex]

[tex]x_{2} = \frac{-(-5) - \sqrt{121}}{2*2} = -1.5[/tex]

The solutions for x are [tex]x = 4[/tex] and [tex]x = -1.5[/tex].

Answer:

116 people are expected to have heard the rumor after 6 days total have passed since it was initially spread.

Step-by-step explanation:

Logistic function:

The logistic function is given by:

[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]

In which:

[tex]A = \frac{K - P(0)}{P(0)}[/tex]

Considering that K is the carrying capacity, k is the growth/decay rate and P(0) is the initial population.

Suppose a rumor is going around a group of 210 people.

This means that [tex]K = 210[/tex]

Initially, only 34 members of the group have heard the rumor:

This means that [tex]P(0) = 34[/tex] and:

[tex]A = \frac{210 - 34}{34} = 5.1765[/tex]

So

[tex]P(t) = \frac{210}{1 + 5.1765e^{-kt}}[/tex]

3 days later 69 people have heard it.

This means that [tex]P(3) = 69[/tex], and we use this to find k.

[tex]69 = \frac{210}{1 + 5.1765e^{-3k}}[/tex]

[tex]69 + 357.1785 e^{-3k} = 210[/tex]

[tex]357.1785 e^{-3k} = 141[/tex]

[tex]e^{-3k} = \frac{141}{357.1785}[/tex]

[tex]\ln{e^{-3k}} = \ln{\frac{141}{357.1785}}[/tex]

[tex]-3k = \ln{\frac{141}{357.1785}}[/tex]

[tex]k = -\frac{\ln{\frac{141}{357.1785}}}{3}[/tex]

[tex]k = 0.3098[/tex]

So

[tex]P(t) = \frac{210}{1 + 5.1765e^{-0.3098t}}[/tex]

How many people are expected to have heard the rumor after 6 days total have passed since it was initially spread?

This is P(6), so:

[tex]P(6) = \frac{210}{1 + 5.1765e^{-0.3098*6}} = 116[/tex]

116 people are expected to have heard the rumor after 6 days total have passed since it was initially spread.

Answer:

-( cube root of 2x)-6(cube root of x)

Answer:

look this up ok

Step-by-step explanation:

Graph axis of symmetry vertex and max and min, domain and range

Answer:

The radius of the can, in centimeters, is of [tex]4\sqrt{5}[/tex]

Step-by-step explanation:

Radius of the can:

The radius of the can is given by:

[tex]r^2 = \frac{V}{h\pi}[/tex]

In which V is the volume and h is the height.

In this question:

[tex]V = 1280\pi, h = 16[/tex]

Thus

[tex]r^2 = \frac{V}{h\pi}[/tex]

[tex]r^2 = \frac{1280\pi}{16\pi}[/tex]

[tex]r^2 = 80[/tex]

[tex]r = \sqrt{80}[/tex]

[tex]r = \sqrt{5*16}[/tex]

[tex]r = \sqrt{5}\sqrt{16}[/tex]

[tex]r = 4\sqrt{5}[/tex]

The radius of the can, in centimeters, is of [tex]4\sqrt{5}[/tex]

Answer: 3628800

Step-by-step explanation: there are 10 letters so we multiply each with the other 1x2x3x4x5x6x7x8x9x10 or 10! to know all possible combinations so the answer will be 3628800.

Hope it helped!

Answer:

[tex]1,814,400[/tex]

Step-by-step explanation:

The number of ways to arrange a word with [tex]d[/tex] distinct digits is each to [tex]d![/tex]. Since there are 10 letters, there are [tex]10![/tex] permutations initially formed.

However, there is one letter that is repeated, S. We need to account for that fact that switching the placement of the S's does not change the word, as they still appear the same. Therefore, divide [tex]10![/tex] by the number of ways you can arrange the 2 S's, which is simply [tex]2![/tex]. Therefore, our answer is:

[tex]\frac{10!}{2!}=10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3=\boxed{1,814,000}[/tex]

Answer:  x = 14

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

Explanation:

For any triangle, the three inside or interior angles always add to 180

M+N+P = 180

32+64+6x = 180

6x+96 = 180

6x = 180-96

6x = 84

x = 84/6

x = 14

Answer:

Step-by-step explanation:

Try and draw it on a grid and just rotate your book up to 180

Answer:

D: one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf

Step-by-step explanation:

A pair of 2 dependent events are simply those in which the choice of the second item depends on taking the first item such that the probability changes.

Because when the first item is taken without replacement, the sample size would have reduced and as such picking the exact same item will reduce the probability.

Now, what this means in relation to the question is that for 2 of the events to be independent, they must be on the same shelf and of same type of book such that the second book can't be selected until the first one has been selected.

The only option that fits this definition is option D where both books are on the same shelf and they are same type of books.

Answer:

one of the nonfiction books on the bottom shelf, and a second nonfiction book from the bottom shelf

Step-by-step explanation:

Answer:

B) 13+14 (n - 1)

Step-by-step explanation:

this is an arithmetic sequence

13 represent the first term

14 is a constant difference

Answer:

The answer is B

Step-by-step explanation:

substitute the value of n in the equation.

Answer:

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

We need to find a number less than -3

-1 is greater than -3

0 is greater than -3

2 is greater than -3

-5 is less than -3

Answer:

option A

Step-by-step explanation:

Because its colder than negative 3 degrees F.

Answer:

[tex]\angle B = 60^o[/tex]

[tex]b =17.3[/tex]

[tex]c = 20[/tex]

Step-by-step explanation:

Given

[tex]a= 15[/tex]

[tex]\angle A = 30^o[/tex]

[tex]\angle C = 90^o[/tex]

See attachment for illustration

Required

Solve the triangle

First, we calculate the measure of B

[tex]\angle A + \angle B + \angle C = 180^o[/tex] --- angles in a triangle

[tex]30^o + \angle B + 90^o = 180^o[/tex]

Collect like terms

[tex]\angle B = 180^o-90^o-30^o[/tex]

[tex]\angle B = 60^o[/tex]

Solve for (c) using sine function

[tex]\sin(30) = \frac{a}{c}[/tex]

Make c the subject

[tex]c = \frac{a}{\sin(30)}[/tex]

Substitute known values

[tex]c = \frac{10}{0.5}[/tex]

[tex]c = 20[/tex]

Solve for (b) using Pythagoras

[tex]c^2 = a^2 + b^2[/tex]

This gives:

[tex]20^2 = 10^2 + b^2[/tex]

[tex]400 = 100 + b^2[/tex]

Collect like terms

[tex]b^2 =400 - 100[/tex]

[tex]b^2 =300[/tex]

Take square roots

[tex]b =17.3[/tex]

Answer:

2 1/6

Step-by-step explanation:

6.5x=2x+1.6=1/3

1/3*6.5=2 1/6

9514 1404 393

Answer:

  x ∈ {-35, 0, 35}

Step-by-step explanation:

We can solve for x and equate those values to find corresponding y-values. Substituting into the original expressions for x gives the possible x-values.

  [tex]x+xy^2=250y\ \Rightarrow\ x=\dfrac{250y}{1+y^2}\\\\x-xy^2=-240y\ \Rightarrow\ x=\dfrac{-240y}{1-y^2}\\\\\dfrac{250y}{1+y^2}+\dfrac{240y}{1-y^2}=0\\\\\dfrac{25y(1-y^2)+24y(1+y^2)}{(1+y^2)(1-y^2)}=0\\\\y(-y^2+49)=0=y(7-y)(7+y)\ \Rightarrow\ y\in\{-7,0,7\}\\\\x=\dfrac{250(\pm 7)}{1+(\pm7)^2}=\pm35,\quad=\dfrac{250(0)}{1+0^2}=0\\\\\boxed{x\in\{-35,0,35\}}[/tex]

Answer:

acute

Step-by-step explanation:

beccccccsssdsss

Answer:

40/8= 5

Step-by-step explanation:

5/1

Your selected answer is correct.

5/1

Total People=5+7+4=16

We know

[tex]\boxed{\sf P(W)=\dfrac{No.\:of\:women}{Total\:People}}[/tex]

[tex] \\ \sf \longmapsto \: p(w) = \frac{7}{16} [/tex]

Answer:

D.

Step-by-step explanation:

cos is positive and sin is negative

=>

it must be in quadrant IV.

you remember, 1 = sin² + cos²

1 = sin² + (3/5)² = sin² + 9/25

25/25 = sin² + 9/25

16/25 = sin²

sin = 4/5 or -4/5

and as sin of this angle is < 0, our solution is -4/5

Answer:

Part A:

x + y = 50

y = x + 20

Part B:

Ted spends 35 minutes practicing the breaststroke every day.

Part C: It is not possible, as 45 + 65 isn't 50.

Step-by-step explanation:

Answer:

[tex]-29.5-\frac{38}{15}x[/tex]

Step-by-step explanation:

First, we must expand out the -5.

-5 times 2/3x is equal to -10/3x, and -5 times 6 is equal to -30. 1/2 minus 30 is equal to -29.5, and 4/5x minus 10/3x is equal to -38/15x.

Step-by-step explanation:

circumference =pi × diameter

=(22/7)×2.2

=6.914ft

Answer:

6.91 feet

Step-by-step explanation:

Answer:

spped of the plane in calm air=121 km/h

speed of the wind= 4km/h

Step-by-step explanation:

Let say V the speed of the plane in calm air

and v the speed of the wind

Flying with a tailwind, a flight crew flew 500 km in 4 hours ==> 500= (V+v)*4

Flying against the tailwind, the crew flew 468 km in 4 hours ==> 468 = (V-v)*4

We divide the 2 equations by 4 and then add the 2 results equations:

(500+468)/4=2V ==> V=121 (km/h)

We replace that value in the first equation:

V+v=500/4=125

v=125-121=4 (km/h)

9514 1404 393

Answer:

  B.  4

Step-by-step explanation:

The product of segment lengths to the near and far circle intercepts is the same for both secants.

  5(5 +(x-1)) = 4(4 +(x+2))

  5(x +4) = 4(x +6) . . . . . simplify inside parentheses

  5x +20 = 4x +24 . . . eliminate parentheses

  x = 4 . . . . . . . . . . . . subtract 20+4x

Answer:

hmmmmm please send the pic again