Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.

What is the length of the fourth side?
Choose...

f(x) = x² + 3x - 2

f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4

Answer:

well i wrote it in paper nothing to explain it's ez

Answer:

Step-by-step explanation:

you will read the directions 2x before solving the problem then solve the problem

Answer:

  7614

Step-by-step explanation:

The exponential growth of the bacteria culture can be modeled by the equation ...

  p = a·b^(t/c)

where 'a' is the initial population, 'b' is the growth factor, and 'c' is the period over which that growth factor applies.

__

In the given scenario, we have ...

So, our model is ...

  p = 6000·1.1^(t/4)

__

After 10 hours, the population is predicted to be ...

  p = 6000·1.1^(10/4) ≈ 7614

We predict 7614 bacteria will be present after 10 hours.

__

Additional comment

If we compare the form we used to the one suggested in the proglem statement, we see

For the bases of the exponential term to be the same, we must have ...

  1.1^(t/4) = e^(kt)

  (1.1^(1/4))^t = (e^k)^t . . . . . factor t from the exponent

  1.1^(1/4) = e^k . . . . . . . match the bases

  k = ln(1.1)/4 . . . . . take natural logs

  k ≈ 0.0238275

and the equation becomes ...

  p = 6000·e^(0.0238275t)

__

In terms of 'a', 'b', and 'c' used above, we find ...

  k = ln(b)/c

Answer:

13

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

where a is the first term and r the common ratio

here a = 6 , r = [tex]\frac{12}{6}[/tex] = 2 and [tex]S_{n}[/tex] = 49146 , then

[tex]\frac{6(2^{n}-1) }{2-1}[/tex] = 49146

6([tex]2^{n}[/tex] - 1) = 49146 ( divide both sides by 6 )

[tex]2^{n}[/tex] - 1 = 8191 ( add 1 to both sides )

[tex]2^{n}[/tex] = 8192 ( take log of both sides )

log [tex]2^{n}[/tex] = log 8192 , that is

n log 2 = log 8192 ( divide both sides by log 2 )

n = [tex]\frac{log8192}{log2}[/tex] = 13

[tex]\red{ \underline { \boxed{ \sf{Common \: Ratio,r = \frac{any\:observed\:term}{previous\:term}}}}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf Common \: Ratio,r = \frac{12}{6} [/tex]

[tex]\quad \boxed{\sf {Common \:Ratio,r = 2 }}[/tex]

Now,

[tex]\green{ \underline { \boxed{ \sf{Sum\: of \: G.P. \: to\: n\:term,S_n = \frac{a(r^n-1)}{r-1}}}}}[/tex]

where

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf 49146 = \frac{6(2^n-1)}{2-1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{49146}}{\cancel{6}} = \frac{2^n-1}{1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 8191= \frac{2^n-1}{1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n-1 =8191 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =8191+1 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =8192 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =2^{13}\quad(8192= 2^{13}) \\\end{gathered} [/tex]

Comparing powers on both sides-

[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ n = 13}}\\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Therefore, to get a sum of 49146 , 13 terms of this G.P. should be taken.

Answer:

895.05

Step-by-step explanation:

5% of 663 is 33.15, so times 33.15 by the 7 months and the answer to that is 232.05 then add that to the current battier life.

The answer is 895.05

Answer:

4

Step-by-step explanation:

3x = 5:

x = 1 ⅔

5x + 7 = 3

5x = 3- 7

5x = -4

x = -⅘

4x = 9x

9x - 4x = 0

5x = 0

x = 0 / 5

x = 0

x = x - 2:

x -x = -2

0 = -2?

Answer:

4

Step-by-step explanation:

Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2

Answer:

2 patients had more than 5 cavities.

step-by-step explanation:

Here cavities > 5

so only 2 patients had more than 5 cavities also as had total 7 cavities.

Answer:

2 patients had more than 5 cavities

Step-by-step explanation:

Each dot represents a different patient.

"More than 5" means numbers greater than 5 (so from 6 onwards).

From inspection of the dot plot, there are 2 dots above all the numbers that are greater than 5.

Therefore, there are 2 patients who had more than 5 cavities.

**see annotated dot plot**

The area shaded with a pink rectangle is "more than 5 cavities"

answer:

148ft²

explanation:

to solve this problem, we must set up a proportion.

[tex]\frac{side (L)}{area(L)} = \frac{side(S)}{area(S)} \\\frac{15}{185} = \frac{12}{x}[/tex]

15x=2220

x=148ft²

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if this helped, please consider giving brainliest !

Answer:

128

Step-by-step explanation:

Billy has 55 stamps and his brother Tommy has 73. Add 73 and 55 together. 55+73=128

Answer:

d

Step-by-step explanation:

area=length ×width

156=13×w

w=156/13=?

P=2(l+w)

P=2(13+w)

[tex] \cos(60) = \frac{12}{x} \\ [/tex]

[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]

[tex]x = 24[/tex]

_____________________________________________

[tex] \sin(60) = \frac{y}{x} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]

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

Answer:

Point A

Step-by-step explanation:

It can be seen from the image that the chosen value for N is greater than zero but less than 1, i.e,

[tex]0 < n < 1[/tex]

The square of such numbers will always result values less than N since they're decimals with zeroes on the whole number parts.

Hence, the value for N squared will be in the region of Point A.

Answer:

Step-by-step explanation: 1.587401052

Answer:

8

Step-by-step explanation:

this means

[tex] \sqrt{ {4}^{3} } [/tex]

4³ = 4×4×4 = 64

the square root of 64 is 8.

Answer:

Step-by-step explanati

- |10+8l=-2

Answer:

solution 1= 40ml

solution 2= 160ml

Step-by-step explanation:

%alcohol= amount of alcohol/total solutionx100

0.52x200=104ml of alcohol present

0.2x L=0.2Lml of alcohol in solution one

0.6 x M=0.6Mml of alcohol in solution two

1st equation

0.2L+0.6M=104ml alcohol

times 10 to get whole

2L+6M=1040ml

2nd

same for this equation

10L+10M=2000ml

10L+10M=2000

2L+6M=1040

elimination method

=20L+20M=4000

-

=20L+60M=10400

-40M=-6400

M=160ml

2L+6 (160)=1040

2L=1040-960

2L=80

L=40ml

Let x be the original price of the object.

After the 40% discount, the price of the object now becomes;

x-0.4x=0.6x

0.6x is our new price after the first discount.

Now if we want to find the price after the second discount, (5%)

That would come off to be;

0.6x-0.6(0.05)x=0.6x-0.03x=0.57x

Our last price is 0.57x

If you notice, there was a 43% discount in total, as it goes to 57% of its original price.

This is very non intuitive for some people, as they may think there will be a 45% discount.

Answer:

12 & 23

Step-by-step explanation:

Let's make both of the statements into equations by making the numbers x & y.

"The sum of two numbers is 35" which means the two numbers added together is 35. So, x + y = 35.

"The smaller number is 11 less than the larger number." Let's make x the smaller number. So, x = y - 11.

So our equations are x + y = 35 and x = y -11. Using substitution, we can plug in (y-11) for x in the first equation.

y + y - 11 = 35. Combine the (y + y) to get 2y - 11 = 35. Add 11 to both sides of the equation, to get 2y = 46. Divide both sides by 2 to get y = 23.

Now, we can substitute 23 for y in either one of the equations, but I'm going to use the second one.  x = y - 11 or x = 23 - 11 which equals 12.

Your 2 numbers are 12 and 23. Hope this helps! :)

Answer:

The answer would be A.

Step-by-step explanation:

Answer:

cos4(x)+2cos2(x)sin2(x)+sin4(x)

Step-by-step explanation:

Jose's rectangle must have equal and parallel opposite sides

The coordinates of the other points could be C(7,5) and D(7,1)

The coordinates are given as;

A = (2,5).

B = (2,1).

To form a rectangle, each of the remaining points must have the same y-coordinates as points A and B.

So, we have:

C = (x,5)

D = (x,1)

Also, the remaining points must have the same x-coordinates.

i.e.

Cx = Dx

From the list of options, we have:

C(7,5) and D(7,1)

Hence, the coordinates of the other points could be C(7,5) and D(7,1)

Read more about rectangles at:

https://brainly.com/question/12500692

Answer:

Fraction answer (about):
1 1/4

Decimal answer (about):
1.24

Step-by-step explanation:

7 2/3 - 6 3/7 =
1.2380952381

1.2380952381 = about 1.24

The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4

Have a great rest of your day
#TheWizzer

Answer:26/21

Step-by-step explanation:

Answer:

▲ Base and height. This is the basic volume equation of a triangular prism: Volume = 0.5 * Base * Height * Length. ...

◣ Right triangle. Probably the most popular type of prism! ...

▲ 3 sides. Volume = 0.25 * √( (a+b+c) * (-a+b+c) * (a-b+c) * (a+b-c) ) * Length.

Step-by-step explanation:

Answer:

b.

Step-by-step explanation: its 50 shares the to straiges you should use is multiplying or adding i used both bt its b.

Answer:

A leprechaun (Irish: leipreachán/luchorpán) is a diminutive supernatural being in Irish folklore, classed by some as a type of solitary fairy. They are usually depicted as little bearded men, wearing a coat and hat, who partake in mischief. In later times, they have been depicted as shoe-makers who have a hidden pot of gold at the end of the rainbow.

Answer:

Step-by-step explanation:

Answer:

624

Step-by-step explanation:

Answer:

14*2

Step-by-step explanation:

8 x {22 x [15 + (14 x 2)]}

With multiple parentheses work from the inside out

The inner most parentheses are

14*2

Answer:

69

Step-by-step explanation:

To do this, you want to first find how many pages he has read

So, to get that you want to multiply 230 by 70% or 0.7 (70% = 0.7 because to get the percent, you multiply the number by 100)

230 * 0.7 = 161

BUT, since you want to find how many pages he has left, you subtract the amount of pages he has read by how many pagest here are in total like so:

230 - 161 = 69 pages left

If you have any questions feel free to ask in the comments, and if this helped it would be appreciated if you left a brainliest :)

Answer:

option A is the correct answer!!

Step-by-step explanation:

mark me brainliest

A) angel OJP

(name by its vertex, by the three points of the angle (the middle point must be the vertex),