State the hypothesis and the conclusion in each conditional statement.

26. If you are a basketball player, then you are at least 5’9” tall.

27. If three points lie on a line, then they are collinear.

28. If you are 13 years old, then you are a teenager.

29. 9x=36 implies x=4.

30. A =+~ B only if mA =+~mB ( I can’t type it so please look at the picture instead )

You don’t have to do all this if you don’t want to, you can help me by doing at least one.
Thank youuuuuu :) <3

Answer:

6x^4−2x^3+26x^2+x+14

Step-by-step explanation:

−x^3+26x^2−7x−13+6x^4−x^3+8x+27

= 6x^4−x^3−x^3+26x^2−7x+8x−13+27

= 6x^4−2x^3+26x^2+x+14

Answer:

Step-by-step explanation:

= -x3+ 26x2- 7x-13+6x4-x3+8x+27

=6x4-2x3+26x2+x+14

Answer:

I'ts a parabola with vertex in \((0,-2)\) and crossing the x-axis in \((\mp\sqrt2; 0)\)

Depending on how accurate you want your graph to be you might want to put values in there to get more points and then then draw it. Result should be something like the one in picture.

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer:

22

Step-by-step explanation:

Hello!

We can convert it into slope-intercept form.

Slope - Intercept Form: \(y = mx +b\)

The y-intercept of the line is 22.

The domain of the exponential function is all real numbers.

The domain of a function refers to the set of all possible input values (also known as the independent variable) for which the function is defined.

For the exponential function y = 2ˣ + 6, the domain includes all real numbers.

This is because there are no restrictions on the input values that can be plugged into the function.

We can take any real number x, substitute it into the expression 2ˣ, and then add 6 to get a corresponding output value y.

Hence,  the domain of the exponential function is all real numbers.

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Answer:

You can multiply 10 to get each place value 9 x 10 = 90

90 x 10 = 9000

9000 x 10 = 90,000

Step-by-step explanation:

Sorry if it doesn't help

The question is incomplete. Below you will find the missing figure.

Two friends, Andrew and Liz, are playing a game using this spinner. If the

spinner lands on region 2 or 3, Andrew wins. If it lands on region 4, Liz wins. If it lands on any other region, neither wins. Is this a fair game?

A. Yes. Each friend has a 1/4 probability of winning.

B. Yes. Each friend has a 1/6 probability of winning.

C. No. Andrew has a probability of 1/4 winning and Liz has a probability of 1/6 winning.

D. No. Andrew has a probability of 1/3 winning and Liz has a probability of 1/4 winning.

The correct option is Option A: Yes. Each friend has 1/4 probability of winning.

Probability is the possibility of an event to happen which is the ratio of no. favorable outcomes and no. of total outcomes.

P = no. of favorable outcome/ total no. of outcome

Here given in the question,

If the spinner touches region 2 or 3, Andrew wins

If the spinner touches region 4, Liz wins.

This is fair play because both have the same size of region for winning.

If we cut the circle into 8 pieces,

as region 1 is the sum of 2 sub-parts of the circle,

possibility of spinner touching region 1= 2/8= 1/4

possibility of spinner touching the small region = 1/8

So the possibility of the spinner touching the region 2or 3= 1/8+1/8= 2/8= 1/4

Hence the possibility of Andrew wins= possibility of the spinner touching region 1= 1/4

possibility of Liz wins= possibility of the spinner touching the region 2 or 3= 1/4

Therefore the correct option is Option A: Yes. Each friend has 1/4 probability of winning.

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ACF is a 30º-60º-90º triangle because of the following:

1) Based on a theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : \(\sqrt{3}\)

1 → short leg

2 → hypotenuse

\(\sqrt{3}\) → long leg

Side length of the hexagon is the short leg of the triangle. It is 1.

r1 is the radius of the incircle in a regular hexagon. 2(r1) is the diameter of the incircle. It is also the hypotenuse of the right triangle. It is 2.

Using Pythagorean theorem.

\(a^2 + b^2 = c^2\)

\(1^2 + b^2 = 2^2\)

\(b^2 = 2^2 - 1^2\)

\(b^2 = 4 - 1\)

\(b^2 = 3\)

\(\sqrt{b^2} = \sqrt{3}\)

\(b = \sqrt{3}\)

Answer:

I think it is B) or C)

Step-by-step explanation:

Because D and A don't make sense.

Just to let you know I'm not 100% shere if I am right or not. Plz let me know if I'm right or not.

Hope this helps : )

The expression that represents the combined inventory of these two stores is given as follows:

A. 7g²/2 - 4g/5 + 15/4.

The combined inventory is obtained adding the inventories for each store, combining the like terms.

The addition of the like terms for g² is given as follows:

1/2 + 3 = 0.5 + 3 = 3.5 = 7/2g².

The term with g is given as follows:

-4g/5.

The constant like terms are combined as follows:

7/2 + 1/4 = 14/4 + 1/4 = 15/4.

Hence the simplified expression is given as follows:

7g²/2 - 4g/5 + 15/4.

Meaning that the correct option is given by option A.

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Answer: Sir in what way would you like me to explain this

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Step 1, setting variables:

We already know the exact height of the prism: 6 feet. We can set the unknown width as variable x, and length as x+2 (length is two feet more than width).

Step 2, writing equations:

Great! We have everything now. Let us write the equation by substituting our variables in:

\(V=l*w*h\\V=6w(w+2)\\\)

Ok! Let us expand the equation:

\(V=6w^2+12w\)

\(\fbox{A}\)

I hope this helps! Let me know if you have any questions :)

Answer:

Down payment =$ 27.5

Total 6 month installment payment

= $145.98

Total payment for toaster= $173.48

Step-by-step explanation:

Supposed price of the toaster= $110

Down payment of 25% was made

Down payment= 25/100 * 110

Down payment=0.25*110

Down payment =$ 27.5

For 6 month she made installmental payment of $24.33

Total installmental payment

= 24.33 * 6

= $145.98

Then total payment made for the toaster = 145.98 + 27.5

= $173.48

Answer:

10

Step-by-step explanation:

Slope Formula: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

=\(\frac{-4-6}{-3-(-2)}\)

=\(\frac{-10}{-1}\) = 10

Hope this helps!

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

Answer:

Step-by-step explanation:

Good job on creating a testable equation.

Maybe you need to know what to do with it.

If we can find a real solution or two, then the projectile will reach the 100 ft altitude. (I'm fairly certain it will given that high initial velocity)

If we cannot find a real solution, then the rocket will fail to reach the altitude goal.

-16t² + 80t + 4 = 100

we will want a zero on the right hand side, so subtract 100

-16t² + 80t - 96 = 0

we can simplify even further by dividing everything by -16

t² - 5t + 6 = 0

which can be factored

(t - 3)(t - 2) = 0

so either

t = 3 s

or

t = 2 s

So the projectile reaches the 100 ft level twice,

at two seconds after launch while rising and

at three seconds after launch while falling.

Lets see what happens when we set the goal a bit higher, say 108 ft

-16t² + 80t + 4 = 108

-16t² + 80t - 104= 0

-2t² + 10t - 13 = 0

not easily factored so let's use quadratic formula

t = (-10 ±√(10² - 4(-2)(-13))) / (2(-2)

t = (-10 ±√-4) / -4

As √-4 = 2i is an imaginary number, there are no real solutions and the projectile will not reach 108 ft.

Answer:

approx 32years so pick answer A

Step-by-step explanation:

22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979

Answer: 1/343

Step-by-step explanation:

To multiply fractions, combine the numerators and denominators and simplify as shown below.

1/7 x 1/7 x 1/7 can be rewritten as:

(1x1x1)/(7x7x7)

Simplifying the numerator and denominator in the new equation, the result is 1/343.

Thus, 1/7 x 1/7 x 1/7 = 1/343.

I hope this helps!

According to the information, it can be inferred that in the room worth 3,000, the break-even point would be 25 students enrolled. On the other hand, in the room of 200, the break-even point would be 7 students enrolled.

The break-even point is an economic term to refer to the moment when a company's income covers its fixed and variable expenses, that is, when you manage to sell the same amount you spend, you neither win nor lose, you have reached the break-even point.

Thus, calculating the break-even point is essential for companies to assess their profitability, since in this way it is possible to know how much they need to sell to generate profit. Knowing this value, even before starting a new project, allows you to know how financially interesting your business idea is.

To calculate the break-even point, we must take into account the expenses that the students will have to offer their service:

According to the above, the expenses in case A, with room 1 would be:

On the other hand, the expenses in case B with room 2 would be:

So, we know that in case A the expenses are going to be 3,750 and in case B the expenses are going to be 950. To find the break-even point for each case, we must divide this value by the price at which they are going to sell the item. course to students. However, it should be clarified that it must be divided by 150 because 50 will be used to pay for each student's handouts.

3,750 ÷ 150 = 25

950 ÷ 150 = 6.33 = 7

According to the above, the break-even point for case A would be 25 students. Additionally, in case B the balance point would be 6.33 students who are close to 7.

To conclude, it can be stated that the best option would be to take room 2 because they will have fewer expenses and will have to sell fewer units of their course to reach the break-even point.

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Answer:

A prime number is a number with exactly two factors. A prime number is only divisible by 1 and itself. Another way to think of prime numbers is that they are only ever found as answers in their own times tables.

Step-by-step explanation:

Answer:

Prime no.

Step-by-step explanation:

A number that only has two factors [ 1 and itself] is called a prime no.

For ex:

The factors of 2 are: 1,2

The factors of 3 is : 1,3

But if you look at the factors of 6, there are; 1,2,3,6 [ 4 FACTORS]

Thus, 6 is a composite no. [Has more than 2 factors]

Answer:

1) k = (-8)/5

2) x = 5

Step-by-step explanation:

1)

\(6 {k}^{2} + 16k = 0\)

\( = > 2k(3k + 8) = 0\)

\( = > 3k + 8 = \frac{0}{2k} = 0\)

\( = > 3k = - 8\)

\( = > k = \frac{ - 8}{3} \)

2)

\( {x}^{2} - 5x = 0\)

\( = > x(x - 5) = 0\)

\( = > x - 5 = \frac{0}{x} = 0\)

\( = > x = 5\)

For the second number 2 3/4 you will find the 2 points, to the right from 0. Now count three small points to the left to get the 3/4 part

To locate the value of -1 1/2 on the number line, first locate the point denoting -1 to the left of 0. Progressing to the second minor point on the right immediately after -1 will indicate this position.

For the second figure of 2 3/4, identify the point at 2 by moving to the right from 0. An additional count of three minor points towards the left reveals where the fraction of 3/4 is located. The exact spot is depicted here.

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9514 1404 393

Answer:

  x = 1/6

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

The fraction inside parentheses evaluates to ...

  3^(3/4 -3/8) = 3^(3/8)

Then the whole expression evaluates to ...

  (3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)

The value of x is 1/6.

Answer:  " 80 " ; that is, the number: "eighty."

____

Step-by-step explanation:

Note the order of operations:
PE MD AS ;

Please Excuse My Dear Aunt Sally.

____
in which:

Parentheses are the first priority; if they occur.

then:
Exponents are the second priority if they occur.

followed by:
Multiplication and
Division;  if any of these occur; and the priority is from the left-hand side to the right-hand side—if they occur.  So; multiplication does not necessarily take priority over division.  Rather, "Multiplication and Division" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur;

followed by:

Addition and
Subtraction; of any of these occur; and the priority is from the 'left-hand side to the right-hand side—if they occur.  So; addition does not necessarily take priority over subtraction.  Rather, "Addition and Subtraction" are treated equally, as the "next priority", from "left to right"—as they occur/if they occur.
____

So:  For our given problem; we can solve:

  " 8(6 + 4) " ;  which is the same as:
                " 8 * (6 + 4)  ";

 We have a "multiplication" and a "parentheses" ;
    So:  The "parentheses" take first priority:
____

     "(6 + 4) = 10 " ;

now:  " 8 * (6 + 4) " ;

            =    8 * 10 = 80 ; which is our answer:
____
Alternate method:
Note the distributive property of multiplication:
          →   a(b + c) = ab + ac  ;

So:   8 (6 + 4) = (8*6) + (8*4) ;

                      =    48 + 32;

                      =    80 ;  which is our correct answer!
____
Hope this answer was helpful to you!  

Please reply if you have any questions!  Wishing you well!
____

To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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Answer:

32

Step-by-step explanation:

First, draw some line for about 4 lines in the double number line.

Now in the bottom, it counts by 15 according to the word problem.

And in the top, count by 8.

Now finally, if you reach 60, write your final number. 32.

woohoo you did it lol