Which mathematical operation changes 2amd 1/3 to 2

Answer:

x = 16

y = 5

Step-by-step explanation:

The three sides of an equilateral triangle are equal. Therefore:

3x + 1 = 49

Solve for x.

3x + 1 - 1 = 49 - 1

3x = 48

3x/3 = 48/3

x = 16

Also

18y - 41 = 49

Solve for y.

18y - 41 + 41 = 49 + 41

18y = 90

18y/18 = 90/18

y = 5

Answer:

12[tex]x^{3}[/tex]y[tex]x^{4}[/tex]

Step-by-step explanation:

When you multiply numbers with variable terms, each term has to be multiplied by like terms.

3[tex]x^{2}[/tex]y× 4×y[tex]x^{3}[/tex]

Separate the terms.

3 · [tex]x^{2}[/tex] · y × 4 · x · [tex]y^{3}[/tex]

Group the like terms and then multiply them.

( 3 x 4 ) ([tex]x^{2}[/tex] x [tex]x[/tex]) ( [tex]y[/tex] x [tex]y^{3}[/tex])

12 · [tex]x^{3}[/tex] · [tex]y^{4}[/tex]

12[tex]x^{3}[/tex][tex]yx^{4}[/tex]

Hoped this helped :)

Answer:

Step-by-step explanation:

The angle must be less than 180º

m∠FIE < 180

5x - 15 < 180

add 15 to both sides

5x < 195

Divide both sides by 5

x < 39

Therefor the first three choices are physically impossible

x = 21

Answer:

1/3

Step-by-step explanation:

if green line is 2/3

and we are to find red line

we subtract the value of the green from the total ie. the denominator which is the sum of green and red line giving us the value of red line then you can determine its slope as well.

Answer:

Explanation:

The volume of the triangular prism:

The base area of the prism = 1/2 x 4 x 6 = 12 ft2

Height = 6 ft

The volume of the triangular prism = 12 x 6 = 72 ft3

The volume of the rectangular prism:

The base area of the prism = 4 x 6 = 24 ft2

Height = 12 ft

The volume of the triangular prism = 12 x 24 = 288 ft3

Volume of the composite figure = (288 + 72)ft3 = 360 ft3

Step-by-step explanation:

Answer:

repeating due to the denominator

Step-by-step explanation:

11/15 = (11/5)×(1/3)

11/5 terminates after 1 place.

but 1/3 is repeating due to the denominator, and that propagates into the result of the multiplication.

Answer:

a.) 15 feet

b.) 3.25 seconds

c.) 17.1125 feet

d.) 12.5 seconds

Step-by-step explanation:

a

This is just asking for the y intercept

to get this just do h(0)= 15

b

This is asking for the x value of the vertex

solve that through -b/2a

-1.3/(2*-.2)= 3.25

c

This is asking for the y value of the vertex

to solve this plug in the x value from b

-.2*3.25²+1.3*3.25+15= 17.1125

d

This is asking for an x intercept

using the quadratic formula...

[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]

*note the (+-) before the radical is ± *

logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5

9514 1404 393

Answer:

Step-by-step explanation:

Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.

We note that the sum of all coefficients is negative, so +1 is not a root.

We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).

The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...

  Q(x) = x^2 -5x -14

Factoring this using any method you like gives ...

  Q(x) = (x +2)(x -7)

This means the full set of zeros is {-2, -1, +7} and the factorization is ...

  P(x) = (x +2)(x +1)(x -7)

_____

Additional comment

My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.

Answer:

the first diagram

Step-by-step explanation:

first one

Answer:29.16 ml  was left

Step-by-step explanation:

2/3-3/8=

16/23-9/24=

7/24x100/1=

then divide

Answer:

3. 8,798,018

4. 4,782,125

5. 156,432,332

6. 4,581,865

7. 4,594,375

8. 3,672,050

9. 7,272,925

10. 3,979,150

Answer:

38

Step-by-step explanation:

Answer:

[tex]32.62\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] is given by:

Let [tex]s=\frac{a+b+c}{2}[/tex] (semi-perimeter)

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

We're given three side lengths with lengths 15 cm, 18 cm, and 5 cm. Therefore, the semi-perimeter, [tex]s[/tex], is equal to [tex]\frac{15+18+5}{2}=\frac{38}{2}=19[/tex].

Thus, the area of this triangle is:

[tex]A=\sqrt{19(19-18)(19-15)(19-5)},\\A=\sqrt{19\cdot 1\cdot 4\cdot 14},A=\sqrt{1064}=32.6190128606\approx \boxed{32.62\:\mathrm{cm^2}}[/tex]

Answer:

Factors of 27

Step-by-step explanation:

Thus; in considering factors ,we find the numbers in which can go into the number without any remainder.

Hence, one is a factor of every number

Answer:

c) IS THE ANSWER

Step-by-step explanation:

Answer: on the outside its 2y^3z^4 with the inside being 2

Step-by-step explanation:

The expression equals 2y^3z^4sqrt2

Answer:

2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)

Step-by-step explanation:

Simplify the radical expression

2 square root 2 y^3 z^4

reduce the index of the radicel and expondent with 2

2 square root 2 y^3 z^4

Answer:

2

Step-by-step explanation:

ordered pairs are

(2 , 3) = (x1 , y1)

(5 , 9) = (x2 , y2)

slope = y2 - y2 / x2 - x1

= 9 - 3 / 5 - 2

= 6 / 3

= 2

Answer:

L = 295ft

W = 95ft

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

If the length is 200 ft more than the width, then:

L = 200+W

Substitute

P = 2(200+W+W)

780 = 2(200+2W)

780 = 400+4W

4W = 780-400

4w = 380

W = 380/4

W = 95ft

Since L = 200+w

L = 200+95

L = 295ft

Answer:

True

Step-by-step explanation:

Given that X,Y and Z are jointly continuous random variables

For : E [g(Y) | Y= x] = ∫g(y) fY| X ( y|x ) dy

For all choices of g the function is true given that g(y) = a random variable

A random variable is a variable with an unknown value it can be said to assign values to an experimental outcome.

Answer:

Probability call the likelihood of the occurrence of an event.

Step-by-step explanation:

No C

Answer:

I hope this helps you quickly

Step-by-step explanation:

dwvrbrhrbrnk Frankenstein's 4h5wmye

Answer:

denominator of 12 (first blank) making the numerator 9. equivalent fraction 9/12 (second blank)

Step-by-step explanation:

lowest common denominator is 12. make sure what you do to the denominator (4times3)= 12, you do to the numerator (3times3)=9

Answer:

The first blank is the denominator of 12 so the numerator is 9. Which makes the answer 9/12

Step-by-step explanation:

Hope this helps! :)>

Answer:

16.9177%  or .169177

Step-by-step explanation:

Binomial i think

10C4*.54⁴*(1-.54)⁶= 16.9177%

The probability that exactly 4 of the 10 Coffleton residents recognize the brand bis 16.9177%  or .169177

Once the sequence of the results is irrelevant, combinations can be used to determine the overall number of effects of an event. The nCr algorithm, where n represents the number many items and r is the host of factors getting picked at a time, is used to compute combinations.

The information provided will be:

54% recognition rate in the town of Coffleton

He selects a random sample of 10 Coffleton residents

the probability that exactly 4 of the 10

will be found out with the help of the combination

[tex]^nC_r = n! / r! \times (n - r)![/tex]

[tex]^10C_ 4\time 0.54^4 \times (1-.54)^6[/tex]

= 16.9177%

The probability will be 16.9177%.

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Answer:

a) [tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

b) f(2) = 0.04462

c) f(1) = 0.01487

d) [tex]P(X \geq 2) = 0.93803[/tex]

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of successes

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

In this question:

[tex]\mu = 6[/tex]

a. Write the appropriate Poisson probability function.

Considering [tex]\mu = 6[/tex]

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

b. Compute f (2).

This is P(X = 2). So

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]

So f(2) = 0.04462

c. Compute f (1).

This is P(X = 1). So

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]

So f(1) = 0.01487.

d. Compute P(x≥2)

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]

[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]

[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]

Then

[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.06197 = 0.93803[/tex]

So

[tex]P(X \geq 2) = 0.93803[/tex]

Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

= (1/2-3/4)×(-5/6+13/8)

= -1/4×19/24

= -19/96

Answer:

30 loads

Step-by-step explanation:

You simply divide 40 by 1 1/3 which gives you 30 meaning you can wash 30 loads.

Answer:

30

Step-by-step explanation:

To solve this, you want to do 40÷[tex]1\frac{1}{3}[/tex], or [tex]\frac{40}{1}[/tex]÷[tex]\frac{4}{3}[/tex], which is the same as  [tex]\frac{40}{1}[/tex]×[tex]\frac{3}{4}[/tex].

This can be solved to [tex]\frac{120}{4}[/tex] and simplifies to 30.

**This content involves writing expressions from worded questions and operations with fractions, which you may wish to revise. I'm always happy to help!

Answer:

8

Step-by-step explanation:

Answer:

3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27

Step-by-step explanation:

Answer:3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27

Step-by-step explanation:

Answer:

53*15*12=9540

Step-by-step explanation:

its just 53 times 15 times 12 for all the possibilities.

Say the first football player was picked, same with the first baseball player, and the first basketball player were all picked, then another possiblity would be the first football player, the second baseball player, and the first basketball player, here is a numerical example.

Football            Baseball             Basketball

     1                         1                             1  

     1                         2                            1

     1                         2                            2

     1                         2                            3

     1                         2                            4

and so on including all the patterns it would be 9540 possibilities

The total number of ways of forming a committee by selecting one representative from each team is 9540.

A combination is a mathematical technique that determines the number of possible arrangements or the number of ways  in a collection of items where the order of the selection does not matter.

[tex]nC_{r}= \frac{n!}{r!(n-r)!}[/tex]

Where,

[tex]nC_{r}[/tex] is a number of combination.

n is total number of objects in the set.

r is the number of choosing objects from the set.

According to the multiplication rule in combination if there are a ways of doing something and b ways of doing another thing, then there are a · b ways of performing both actions.

According to the given question

Total number of football players = 53

Total number of baseball players = 15

Total number of basket ball players = 12

Therefore,

Number of ways of selecting one representative from football team is given by  

[tex]53C_{1} =\frac{53!}{1!52!} = 53[/tex]

Number of ways of selecting one representative from baseball team is given by

[tex]15C_{1} =\frac{15!}{1!14!}=15[/tex]

Number of ways of selecting one representative from basketball team is given by

[tex]12C_{1} =\frac{12!}{1!11!} =12[/tex]

So, the total number of ways of forming a committee by selecting one representative from each team = 53 × 15 × 12 =9540.

Hence,  total number of ways of forming a committee by selecting one representative from each team 9540.

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Answer:

B

Step-by-step explanation:

Use a graphing calculator like desmos and youll find the answer