Mr. Cohen offered Hugo and ___ some coffee when we arrived.
I
Me

Answer:

1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]

2.) [tex]\left(a-3\right)^2[/tex]

3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]

4.) [tex]=\left(b+7\right)^2[/tex]

Step-by-step explanation:

2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].

[tex]a=a,\:b=3[/tex]

[tex]=\left(a-3\right)^2[/tex]

3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].

[tex]=\left(t+8\right)\left(t-9\right)[/tex]

Answer:

lol dababy ur my idol

Step-by-step explanation:

84b /32b

3b

Answer:

3b^2

Step-by-step explanation:

12b^7 / 4b^5  

=12b^7/ 4b^5

=12b^2/4

=3b^2

Step-by-step explanation:

so we can safely say that one train will be there for 3.5 minutes and it will be gone for 16 minutes before another train comes and repeats the cycle.

we want how many minutes that the train will not be there over the total time that is possible so that would be

16/(16+3.5)

16/19.5

32/39

Hope that helps :)

The probability of the train not being at the station on arrival would be:

0.82

Given that,

The duration for which the train makes = 3.5 minutes

The time at which the second train arrives = 16 minutes later

We know that this cycle is repeated.

The duration for which the train is not there would be:

[tex]= 16/(16+3.5)[/tex]

[tex]= 16/19.5[/tex]

[tex]= 32/39[/tex]

[tex]= 0.82[/tex]

Thus, 0.82 is the probability.

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Answer:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]

Step-by-step explanation:

We want to write the trignometric expression:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0[/tex]

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

[tex]\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)[/tex]

Take the secant of both sides:

[tex]\displaystyle \sec(\theta)=\frac{u}{10}[/tex]

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

[tex]\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}[/tex]

By substitutition:

[tex]\displaystyle= \sin(2\theta)[/tex]

Using an double-angle identity:

[tex]=2\sin(\theta)\cos(\theta)[/tex]

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

[tex]\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0[/tex]

9514 1404 393

Answer:

  y = -x -2

Step-by-step explanation:

The line crosses the y-axis at y = -2, so that is the y-intercept.

The slope is the ratio of "rise" to "run." The points on the graph show a "rise" of -3 for a "run" of 3.

  m = rise/run = -3/3 = -1

Then the slope-intercept equation is ...

  y = mx +b . . . . . slope m, y-intercept b

  y = -x -2 . . . . . . . using m=-1, b=-2

Answer:

Its C

Step-by-step explanation:

Diagram c to the left shows the repeating groups of atoms that make up the samples the chemist mixed together.

Atoms are the smallest unit of matter that make up all physical objects. Atoms are composed of three main components: protons, neutrons, and electrons. Protons and neutrons are found in the nucleus of the atom and have a positive charge, while electrons orbit the nucleus and have a negative charge.

here, we have,

we know that,

Atoms can join together to form molecules, which are the building blocks of all matter. Atoms of different elements can join together in different ways to form compounds and these compounds are the basis of all substances. Atoms are also the basis of all chemical reactions and can exist in different physical states, such as solid, liquid, or gas. Atoms can also be combined to form isotopes, which are atoms of the same element with different numbers of neutrons.

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complete question:

11. A chemist mixed two samples together: a brown solid that melts at about 1,300°C and a colorless liquid that melts at about 20°C. She analyzed the results and found two ending substances. One of the ending substances melts at about 250°C. This ending substance is made up of the repeating group of atoms shown above. Which of the diagrams to the left shows the repeating groups of atoms that make up the samples the chemist mixed together?

Answer:

the mode is 12

Step-by-step explanation:

Arrange the numbers in order : 1 , 3, 6, 6, 9, 9, 12, 12, 12, 12, 12, 15, 15, 15, 15

Then count how many numbers that appears the most, so the number that appears the most is 12, therefore, the mode in the data set is 12 .

Answer:

Step-by-step explanation:

Answer:

I can't really see the pic :(

Step-by-step explanation:

Answer:

8^2

Step-by-step explanation:

8*8=8^2 or 64

Answer:

if I am not wrong I think the anwser will be 2.3

Answer:

It's 3

Step-by-step explanation:

7 can't be divided by 3 so you leave it as a fraction

Answer:

it will be 300 feet tall and 1000 feet wide

Step-by-step explanation:

The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ba^x+c[/tex]

Here, a,b and c are the real numbers.

The arch support of a bridge can be modeled by the following function,

[tex]y=-0.0012x^2+300[/tex]

Here, x and y are measured in feet.

The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,

[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]

As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,

[tex]w=500-(-500)\\w=1000\rm ft[/tex]

Now similarly at x equal to zero, the function will be,

[tex]y=300[/tex]

Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.

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Answer:

I would believe 90* clockwise.

Step-by-step explanation:

It rotated 90* to be located on its side.

Answer:

3-270x

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Find the point on the graph that has the y-value of 8. Determine its x-value.

Answer:

1/6

Step-by-step explanation:

convert ti decimal then compare the two

Answer:

Hello There!!

Step-by-step explanation:

1/6 is less.You can check this by 2÷5=0.4 and 1÷6=0.1666666667 so 1/6 is less.

hope this helps,have a great day!!

~Pinky~

Answer:

< ABC+<QRS=180

m<QRS=180-140=40°

Answer:

Solution given:

<ABC+<QRS=180° {supplementary]

m<QRS=180°-140°=40° is your answer

Answer:

I think you are asking the total distance isn't? The straight line distance from your starting point 14 miles.I've added both miles to get the total distance

Step-by-step explanation:

please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.

Answer:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

Step-by-step explanation:

television

Our world is more and more a single “information society”, and television, as the world's most powerful medium of communication, is a key part of that society. Television can be a tremendous force for good. It can educate great numbers of people about the world around them.

9514 1404 393

Answer:

 2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

  [tex]x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}[/tex]

_____

Your calculator can help you answer this:

  1/5 = 0.2

  1/3 = 0.333.... (repeating) . . . . the number you're looking for

  3/10 = 0.3

  3/5 = 0.6

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]

[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]

[tex]Hypotenuse=12\times 2[/tex]

[tex]Hypotenuse=24[/tex]

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan 30=\dfrac{12}{Base}[/tex]

[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]

[tex]Base=12\sqrt{3}[/tex]

Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:

[tex]Area=length \times width[/tex]

[tex]Area=12 \times 12\sqrt{3}[/tex]

[tex]Area=144\sqrt{3}[/tex]

So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.

(c)

Perimeter of the rectangle is:

[tex]P=2(length+width)[/tex]

[tex]P=2(12+12\sqrt{3})[/tex]

[tex]P=24+24\sqrt{3}[/tex]

[tex]P\approx 65.57[/tex]

Therefore, the perimeter of the rectangle is about 65.57 units.

Answer:

1. b. 14.6 ± 7.38

2. b. 3.43

3. b. 0.01 < P-value < 0.05

4. b. There is sufficient evidence to reject the null hypothesis.

Step-by-step explanation:

The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.

Answer:

36pie inch²

Step-by-step explanation:

Answer attached

Hope it helps :)

Answer:

Step-by-step explanation:

3/13

The probability of being dealt a picture card is 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the total number of cards in the deck be = 52 cards

Let the number of picture cards be = A

Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings

So , total number of picture cards = 4 + 4 + 4

                                                        = 12 picture cards

And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck

The probability of drawing a picture cards is P = 12 / 52

                                                                               = 3 / 13

Therefore , the value of P is 3/13

Hence , The probability of being dealt a picture card is 3/13

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Given:

[tex]x=\log_{10}31,500[/tex]

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

[tex]x=\log_{10}31,500[/tex]

It can be written as

[tex]x=\log_{10}(2^23^25^37)[/tex]

[tex]x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)[/tex]     [tex][\because \log(ab)=\log a+\log b][/tex]

[tex]x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)[/tex]

[tex]x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451[/tex]

[tex]x=4.49835[/tex]

Clearly, the value of x lies between 4 and 5. So, [tex]x>4[/tex] and [tex]x<5[/tex].

Therefore, the correct options are C and D.

The true statements are: (c) x > 4 and (d). x < 5

The logarithmic expression is given as:

[tex]x = \log_{10}(31500)[/tex]

Express 31500 as a product of 100

[tex]x = \log_{10}(315 * 100)[/tex]

Apply the law of logarithm

[tex]x = \log_{10}(315) + \log_{10}(100)[/tex]

Evaluate log 100 base 10

[tex]x = \log_{10}(315) + 2[/tex]

Evaluate log 315 base 10

[tex]x = 2.50 + 2[/tex]

Add the expressions

[tex]x \approx 4.50[/tex]

4.5 is greater than 4 and less than 5

Hence, the true statements are: (c) x > 4 and (d). x < 5

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"Vertically" probably refers to stacking the polynomials on top of each other and aligning them at equal powers of x. So kind of like what you might do when adding two numbers with more than 1 digit each.

For example, the sum 123 + 456 can be computed by adding digits in the same digits place:

… 1 2 3

+ 4 5 6

… 5 7 9

Then for this sum, you have

… - 3x ²  - 6x   + 8

+    8x ² + 7x   - 14

…   5x ²  + x    - 6

Answer:

Apparently that's false because 4 does not equal -1, 4 is totally 10 times greater than -1

Hopefully that helps

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

(1/6)(x+6)=11

Multiply both sides by six:

(6)(1/6)(x+6)=11(6)

x+6=66

Take six from both sides:

x+6-6=66-6

x=60

Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where  y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When  y < − 10 , − y > 10

Subtract  9  from both sides,

− 9 − y > 1  Hence,

− √ ( 9 + y ) 2 > 1

The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ -√(9 + y)²

Simplify the expression, then we have

-√(9 + y)² = 0

(9 + y) = 0

9 + y = 0

y = - 9

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