1. Express 729 as a power of 3.
(a) 38 (b) 36 c) 9³ d) none of these​

Answer:

Picture Below :)

Step-by-step explanation:

*ta da*

- Have a great day -

Answer:

Q = 52.5

Step-by-step explanation:

given P is directly proportional to Q then the equation relating them is

P = kQ ← k is the constant of proportion

to find k use the condition Q = 30 when P = 40 , then

40 = 30k ( divide both sides by 30 )

[tex]\frac{40}{30}[/tex] = [tex]\frac{4}{3}[/tex] = k

P = [tex]\frac{4}{3}[/tex] Q ← equation of proportion

when P = 70 , then

70 = [tex]\frac{4}{3}[/tex] Q ( multiply both sides by 3 to clear the fraction )

210 = 4Q ( divide both sides by 4 )

52.5 = Q

Answer: (2, -1), or x = 2 and y = -1

By graphing:

   We can solve by graphing. See attached.

-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.

By substituting:

   We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.

3x - 2y = 8

x - 2y = 4​ -> x = 2y + 4

-

3x - 2y = 8

3(2y + 4) - 2y = 8

6y + 12 - 2y = 8

4y = -4

y = -1

-

x - 2y = 4​

x - 2(-1) = 4​

x + 2 = 4

x = 2

Answer:

3/2    or   1.5

Step-by-step explanation:

(-3/8) ÷ (-1/4)

Copy dot flip

=(-3/8)* (-4/1)

=12/8

=3/2    or 1.5

Answer:

312cm2

Step-by-step explanation:

16*12=192

10*6/2=30

30*4=120

192+120=312

Answer:

1) 45

2) 6x^2-4xy+10y^2

Step-by-step explanation:

1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)

Replace a with (-2) and b with (3):

3(-2)^2-2(-2)(3)+5(3)^2

3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.

12-12+45 *performed more multiplication

0+45 *additive inverses property applied

45 *performed some addition

2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)

Replace a with (x+y) and b with (x-x-y):

3(x+y)^2-2(x+y)(x-y)+5(x-y)^2

*Explained binomial squares

3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)

*Expand product of the sum of two numbers with the difference of said numbers

3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)

*Distribute

3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)

*Combine like terms

6x^2-4xy+10y^2

Answer:

See below ~

Step-by-step explanation:

The perimeter of a figure refers to the sum of the side lengths of its edges.

Figure (a) : Triangle

⇒ P = 2a + 1 + 3a + a - 4

⇒ P = 6a - 3

⇒ P = 3 (2a - 1)

Figure (b) : Hexagon

⇒ P = 3m - 1 + 3n + n + m + 3m + 1 + 4n + m + n + 2

⇒ P = 3m + m + 3m + m + 3n + n + 4n + n + 1 - 1 + 2

⇒ P = 8m + 9n + 2

Figure (c) : Trapezoid

⇒ P = 2a + 3 + 3a - b + 2a + 2b - 4 + b + 4

⇒ P = 2a + 3a + 2a + 2b + b - b + 4 - 4 + 3

⇒ P = 7a + 2b + 3

Answer:

h(x) = x³ + 4x² - 49x - 196

Step-by-step explanation:

h(x) = (x² - 49)(x + 4) <== distribute

h(x) = x²(x) - 49(x) + x²(4) - 49(4)

h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)

h(x) = x³ + 4x² - 49x - 196

Hope this helps!

The possible coordinates of C and D are: C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)

The given parameters are:

A = (4,3)

B = (4,-5)

Perimeter, P = 30 units

Since points A and B are on the same x-coordinate, then the distance between them is:

AB = 3 - - 5

AB = 8

The perimeter of the rectangle is calculated using:

P = 2 *(AB + CD)

This gives

2 * (8 + CD) = 30

Divide by 2

8 + CD = 15

Subtract 8 from both sides

CD = 7

This means that points C and D are 7 units from points A and B, respectively.

If A = (4,3) and B = (4,-5), then the possible coordinates of C and D are:

C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)

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Answer:

91/20 or 4 11/20

Step-by-step explanation:

First, convert the 2 amounts into improper fractions

Red: 21 4/5 = 114/5

Purple: 18 1/4 = 73/4

Then, using cross multiplication, you can give them the same denominator

Red: 114/5 = 456/20

Purple: 73/4 = 365/20

Then just subtract the numerators and keep the denominator

456/20 - 365/20 = 91/20

So your answer is

91/20 or 4 11/20

Answer:

She had a total of 80 throws.

Step-by-step explanation:

4x20 (20x5%=100%) = 80, so she had 80 throws.

Answer:

Step-by-step explanation:

Solution

The question is a bit obscure. The best choice I think, would be A. F(x) could equal something like y = x - 3. When y = 0, x = 3 or put the other way, when x = 3 y= 0.

Answer: Choice A

40.61 square meters

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

Explanation:

The area of a full circle is

A = pi*r^2

meaning half of it (aka semicircle) will have this area

A = 0.5*pi*r^2

The diameter of the semicircle is 5.4 meters, which divides in half to get the radius of r = 2.7

The semicircle has an area of...

A = 0.5*pi*r^2

A = 0.5*3.14*(2.7)^2

A = 11.4453

which is approximate since pi = 3.14 is approximate.

Now compute the area of the triangle

area = base*height/2 = 5.4*10.8/2 = 29.16

Then add those sub-areas to get the grand total area.

semicircleArea + triangleArea = 11.4453+29.16 = 40.6053

That rounds to 40.61 which shows why choice A is the answer.

Answer:

65 cents

Step-by-step explanation:

5 + 1 + .30 = 6.30

6.95 - 6.30 = .65

The number of red balls to the number of green balls is 3 : 2

The distribution of the balls is given as:

6 red, 4 green, 2 yellow and 3 blue balls

The number of red balls to the number of green balls is represented as:

Ratio = Red : Green

So, we have:

Ratio = 6 : 4

Simplify

Ratio = 3 : 2

Hence, the number of red balls to the number of green balls is 3 : 2

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Answer: [tex]y=\log(x-1)-2[/tex]

Answer:

28 as a fraction would be written as 56/2.

Step-by-step explanation:

The fraction can be written as 7/25.

Explanation:

Given Input Value = 28%

Place the Percentage Value at the top over 100. = 28/100

The given fraction is 28/100.

On reducing the fraction, we get the exact form 28/100. = 7/25

The exact form of the fraction is 7 /25.

Answer:

.3375

Explanation:

Total people who were given drug: 800

Total people who showed improvement: 270

Probability:

[tex]\boxed{ \sf \dfrac{favorable \ outcomes }{total \ possible \ outcomes}}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{270}{800}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{27}{80}[/tex]

in decimals

[tex]\rightarrow \sf 0.3375[/tex]

Answer:

Step-by-step explanation:

let E be the event : “the patient shows improvement”

    D be the event : “the patient was given the drug”

here we are in a conditional probability situation:

Let E/D be the event “a patient shows improvement ,if it is known that the patient was given the drug”

[tex]p\left( E|D\right) =\frac{p\left( E\cap D\right) }{p\left( D\right) }[/tex]

            [tex]=\frac{270}{800}[/tex]

            [tex]=0.3375[/tex]

Answer:

c.9.5

Step-by-step explanation:

im awesome so so very

    ♪ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~  ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ♪

[tex]\textsc{heya!}[/tex]

☑︎  what we need to do:

☑︎ what we are provided with:

[tex]\textsc{solution:}[/tex]

[tex]\textsc{explanation:}[/tex]

first, these are the points on our line:

• (-2, 10) • (4, -8)

what we need at this moment is the gradient (slope) of the line.

remember, there's a little formula that will help us find the gradient:

[tex]\large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

our values are:

• (-2, 10) and (4, -8)

after substituting the values into the above formula, we obtain

[tex]\large\text{$\displaystyle\frac{-8-10}{4-(-2)}$}[/tex]

after simplifying, we obtain

[tex]\large\text{$\displaystyle\frac{-18}{4+2}$}[/tex]

simplifying more,

[tex]\large\text{$\displaystyle\frac{-18}{6}$}[/tex]

dividing,

[tex]\large\text{$-3$}[/tex]

but that's only part of our problem. we need to find the equation, and we have the gradient only.

let's use the first point in our equation

• (-2, 10)

m is the gradient.

this is what we obtain after substituting the values

[tex]\large\text{$y-10=-3(x-(-2)$}[/tex]

simplifying

[tex]\large\text{$y-10=-3(x+2)$}[/tex]

simplifying more

[tex]\large\text{$y-10=-3x-6$}[/tex]

moving 10 to the right side

[tex]\large\text{$y=-3x-6+10$}[/tex]

and finally

[tex]\large\text{$y=-3x+4$}[/tex]

[tex]\textsc{hopefully\:helpful}[/tex]

by:    • [tex]\textsc{$d^an_ci^ng$}[/tex]

[tex]\textsc{have\:a\:great\:rest\:of\:your\:day\:ahead!}[/tex]

Answer:

25

Step-by-step explanation:

[2 x (10+5)] - 5

[2 x (15)] - 5

[30] - 5

25

The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5

The series is given as:

0.5+ (-1) +2+...

The above series is a geometric series, with the following parameters:

The sum of the first 14 terms is calculated using:

[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]

So, we have:

[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]

Evaluate

[tex]S_{14}= -2730.5[/tex]

Hence, the sum of the series is -2730.5

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Answer: The answer is Undefined (a/0)

I put a screenshot of how i got that answer

Answer: She's right, it is d

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.

Answer:

the answer is A) Add 6

Step-by-step explanation:

you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues

hope this helps!!

Answer:

125 mph

Step-by-step explanation:

The river is going 25 mph every 20 minutes

Therefore we can paddle 125 miles at consistent rate.

Answer:

1.

Step-by-step explanation:

1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then

2) 0.5+0.5=1.