The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length of the garden is 24 ft longer than the width of the garden what is the area of the garden in sq ft

9514 1404 393

Answer:

  it is shifted 5 units upward

Step-by-step explanation:

The y-coordinate is a measure of the distance above the x-axis. When 5 is added to a y-coordinate, the point is shifted 5 units upward.

The function y = |x| +5 adds 5 units to the y-value of every point of the graph of y = |x|. The graph of y=|x|+5 is shifted 5 units upward from the parent graph.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have uploaded a graph for you. The x axis is the number of years. The y axis is the salary multiplied by 1000. I should have made the multiplication factor 10000 but 1000 will do.

The 5 given points are plotted in red. The blue line is the function.

The function is y = 5x + 35. That means for every year you add 5 times the year onto the salary.

No years is 35000

1 year is 1 * 5000 + 35000

2 years is 2 * 5000 + 35000 = 45000

6 years is 5 * 5000 * 35000 = 65000

and so on.

The point you want is x = 12

12 years is 12 * 5000 + 35000 = 95000

Forgot the graph

Answer:

3125

Step-by-step explanation:

5* 5* 5* 5 = 3125

Answer:

D

Step-by-step explanation:

We can go through each form of sampling and see where this scenario fits.

- Simple random sampling is simply taking a random percentage of the population. In this case, with the population being students in Carol's school, this would entail taking a random sample from her school. As her friends are not randomly selected, this does not fit

- Systematic random sampling means that every nth item is selected. For example, if Carol took every 10th person at her school, this would fit. However, as her friends are not selected by Carol choosing every 5th or 10th person at school (or something like that), this does not fit.

- Stratified random sampling means that different subgroups of the population are selected, and once those are selected, it is randomized to see who out of the subgroup is selected. For example, if Carol took all the men and women in her school and chose 50 random men and 50 random women, this would work. Although Carol's friends may define a subgroup of the population here, she is not asking anyone outside of that subgroup here, so this does not fit.

As none of these fit, the only answer left is D

If or whether Carol's sampling strategy was random and objective will determine if the survey's findings accurately reflect the population of pupils at her school. So, the correct option is D.

A statistical method known as random sampling is used to choose a representative sample of people or things from a bigger population. Every member of the population maintains an equal probability of being chosen in a random sample, and there is no systematic bias present in the selection procedure.

Which sample technique Carol employed is unclear given the facts in the question. Carol's poll would not be regarded as a random sample, and the findings might not be representative of the entire student body at her school if she simply asked 15 of her friends to respond.

Therefore, the correct option is D.

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Answer:

PTR upon hundreds .by putting these formulas you can solve ti and is 2000

Answer:

(6, ....... )  ( -3, .........)  ( 1, .......)

x,y values therefore = (6, 29) ( -3, -34) (1, -6)

as x = 0 when y = -13

we simply x 6 into equation to find 30

y = 7 x 6 -13

y = 42 - 13

y = 29  

Then for -3 we simply x by -3 to find y

y = 7 x -3 -13

y = -21 - 13

y = -34

then for 1 we simply x by 1 to find y

y = 7 x 1 -13

y = 7 - 13

y = -6

y = 7x - 13

Step 1)  Set above equation equal to 0 by remembering the methods;

Solve   y-7x+13  = 0

Step 2)  Calculate the y intercept;

Notice that when x = 0 the value of y is -13/1 so this line "cuts" the y axis at y=-13.00000   see attached to help memorize.

Step 3) Calculate the X-Intercept :

When y = 0 the value of x is 13/7 Our line therefore "cuts" the x axis at x= 1.85714

Step 4) Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - (-13.000) = 14.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = 14.000/2.000 =  7.000

As seen below.

 x-intercept = 13/7  =  1.85714

slope =  14000/2000 = 7000

x intercept =  13/7 = 1.85714

y intercept = 13/1 = 13.00000

Answer:

Step-by-step explanation:

Slope of line through (-9,6) and (-6,-9) = (-9 - 6)/(-6 - (-9)) = (-15)/(3) = -5

point-slope equation for line of slope -5 that passes through (-9,6):

y-6 = -5(x+9)

Answer:

1/2

Step-by-step explanation:

because i answered it on khan academy and it was right

Slope=  

Run

Rise

​

=  

Change in x

Change in y

​

start text, S, l, o, p, e, end text, equals, start fraction, start text, R, i, s, e, end text, divided by, start text, R, u, n, end text, end fraction, equals, start fraction, start text, C, h, a, n, g, e, space, i, n, space, end text, y, divided by, start text, C, h, a, n, g, e, space, i, n, space, end text, x, end fraction

Hint #22 / 3

\begin{aligned} \text{Slope}&=\dfrac{9-6}{-3-(-9)} \\\\ &=\dfrac{3}{6} \\\\ &=\dfrac{1}{2} \end{aligned}  

Slope

​

=  

−3−(−9)

9−6

​

=  

6

3

​

=  

2

1

​

​

Hint #33 / 3

The slope is \dfrac{1}{2}  

2

1

​

start fraction, 1, divided by, 2, end fraction.

Answer:

Part A)

0.1 liters per minute.

Part B)

There was initially 3.8 liters of water.

[tex]\displaystyle V(t) = 0.1(t - 10) + 4.8[/tex]

Part C)

562 minutes.

Step-by-step explanation:

A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.

Part A)

We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.

To find the rate at which the tank is being filled, find the slope between the two points:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1[/tex]

In other words, the rate at which the tank is being filled is 0.1 liters per minute.

Part B)

To find the function of the volume of the tank, we can use the point-slope form to first find its equation:

[tex]\displaystyle y - y_1 = m( x - x_1)[/tex]

Where m is the slope/rate of change and (x₁, y₁) is a point.

We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:

[tex]\displaystyle y - (4.8) = 0.1(x - 10)[/tex]

Simplify:

[tex]\displaystyle y = 0.1(x-10) + 4.8[/tex]

Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:

[tex]\displaystyle V(t) = 0.1(t - 10) + 4.8[/tex]

The initial volume is when t = 0. Evaluate:

[tex]\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8[/tex]

There was initially 3.8 liters of water.

Part C)

To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:

[tex]60 = 0.1(t - 10) + 4.8[/tex]

Subtract:

[tex]55.2 = 0.1(t - 10)[/tex]

Divide:

[tex]552 = t - 10[/tex]

Add. Therefore:

[tex]t = 562\text{ minutes}[/tex]

It will take 562 minutes for the tank to be completely filled.

Mean:

[tex]E(X) = \displaystyle \sum_{x\in\{1,2,3,4\}}x\,P(X=x) = 1\times0.4 + 2\times0.1 + 3\times0.3 + 4\times0.2 = \boxed{2.3}[/tex]

Variance:

[tex]\displaystyle V(X) = E\left((X-E(X))^2\right) = E(X^2) - E(X)^2 \\\\ E(X^2) = \sum_{x\in\{1,2,3,4\}}x^2\,P(X=x) = 1^2\times0.4 + 2^2\times0.1 + 3^2\times0.3 + 4^2\times0.2 = 6.7 \\\\ \implies V(X) = 6.7 - 2.3^2 = \boxed{1.41}[/tex]

Standard deviation:

[tex]\sigma_X = \sqrt{V(X)} = \sqrt{1.41} \approx \boxed{1.19}[/tex]

Answer:

-2x + 22

Step-by-step explanation:

We have the function f(x) = -1/2x + 11 and are asked to find the inverse of it.

To find the inverse, we will follow the according steps :

Let's do as followed:

Replacing x with y :

Since f(x) can be also written as y, we can do y = -1/2x + 11, thus making the switch alot easier.

y = -1/2x + 11

x = -1/2y + 11

Solve for y :

We have to get y alone to find the inverse, to do so, get rid of the outlier by subtracting 11 from both sides :

x - 11 = -1/2y

Now divide both sides by -1/2 to get y alone and retrieve our inverse :

-2(x - 11)

Distribute to get the inverse :

-2x + 22

Answer:

N=240;I%=5.6=-205000;PMT=;Fv=0;P/Y=12;C/Y=12;PMT:END

Step-by-step explanation:

A P E X

The group of values to be plugged into TVM solver is

N=240 ; I % = 19.2% , P = -205000 , PMT= -$510, Fv =0 , P/Y =12.

We have 20  year loan then the number of periods will be

N = 20 x 12

N= 240

and, the Monthly payment is $510 then

PMT = - 510

and, Interest = 19.2%

and, PV = - 205, 000

Thus, N=240 ; I % = 19.2% , P = -205000 , PMT= -$510, Fv =0 , P/Y =12.

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Answer:

[tex]56[/tex] choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy does not matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

[tex]_nC_r=\frac{n!}{r!(n-r)!}[/tex], where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.

In this case, [tex]n=8[/tex] and [tex]r=3[/tex]. Substituting these values into the formula gives us:

[tex]_8C_3=\frac{8!}{3!5!}[/tex]

[tex]= \frac{8*7*6*5*4*3*2*1}{3*2*1*5*4*3*2*1}[/tex] (Expand the factorials)

[tex]=\frac{8*7*6}{3*2*1}[/tex] (Cancel out [tex]5*4*3*2*1[/tex])

[tex]=\frac{8*7*6}{6}[/tex] (Evaluate denominator)

[tex]=8*7[/tex] (Cancel out [tex]6[/tex])

[tex]=56[/tex]

Therefore, the child has [tex]\bf56[/tex] different ways to pick the candies. Hope this helps!

Answer:

Step-by-step explanation:

6% = 0.06

11% = 0.11

x + y = 35,000 ....................... (1)

0.06x + 0.11y = 2,900 .......... (2)

(1) × 0.06 - (2)

0.06y - 0.11y = 0.06 × 35,000 - 2,900

- 0.05y = - 800

y = 16,000

x = 19,000

Ms. Suzie invested $19,000 in 6% interest​ account and $16,000 in 11% interest account.

9514 1404 393

Answer:

  5i) f(x) = 3·13^x +5

  5ii) f(x) = -6·(1/2)^x +5

  6) f(x) = 3·8^x -1

  9a) (1, 0), (0, -3)

  9b) (2, 0), (0, 8)

Step-by-step explanation:

5. The horizontal asymptote is y = c. To meet the requirements of the problem, you must choose c=5 and any other (non-zero) numbers for 'a' and 'b'. (You probably want 'b' to be positive, so as to avoid complex numbers.)

i) f(x) = 3·13^x +5

ii) f(x) = -6·(1/2)^x +5

__

6. You already know c=-1, so put x=0 in the equation and solve for 'a'. As in problem 5, 'b' can be any positive value.

  f(0) = 2 = a·b^0 -1

  3 = a

One possible function is ...

  f(x) = 3·8^x -1

__

9. The x-intercept is the value of x that makes y=0. We can solve for the general case:

  0 = a·b^x +c

  -c = a·b^x

  -c/a = b^x

Taking logarithms, we have ...

  log(-c/a) = x·log(b)

  [tex]\displaystyle x=\frac{\log\left(-\dfrac{c}{a}\right)}{\log(b)}=\log_b\left(-\dfrac{c}{a}\right)[/tex]

Of course, the y-intercept is (a+c), since the b-factor is 1 when x=0.

a) x-intercept: log2(6/3) = log2(2) = 1, or point (1, 0)

   y-intercept: 3-6 = -3, or point (0, -3)

b) x-intercept: log3(9/1) = log3(3^2) = 2, or point (2, 0)

  y-intercept: -1 +9 = 8, or point (0, 8)

_____

Additional comment

It is nice to be comfortable with logarithms. It can be helpful to remember that a logarithm is an exponent. Even so, you can solve the x-intercepts of problem 9 using the expression we had just before taking logarithms.

  a) 6/3 = 2^x   ⇒   2^1 = 2^x   ⇒   x=1

  b) -9/-1 = 3^x   ⇒   3^2 = 3^x   ⇒   x=2

Answer:

KL ≈ 1.94

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{1.3}{KL}[/tex] ( multiply both sides by KL )

KL × cos48° = 1.3 ( divide both sides by cos48° )

KL = [tex]\frac{1.3}{cos48}[/tex] ≈ 1.94 ( to the nearest hundredth )

Answer:

Its A

Step-by-step explanation:

The tangent of the given circle is FG hence the correct option will be an option (B).

The tangent of a circle is a line that intersects the circle at the periphery of the circle.

If you draw a line that goes through the center to the tangent touching point then it will give you a 90-degree angle.

Given the circle it's clear that the tangent is only FG hence it will be the correct option  

A circle can have an infinite number of tangents.

In other words, a straight line that only touches a circle twice is said to be tangent to it. The term point of intersection refers to this location

At the tangent line, the tangent to a circle is orthogonal to the radius.

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Answer:

10x +35

Step-by-step explanation:

5(2x+7) = 5*2x + 5*7 = 10x+35

Answer:

10, 35.

Step-by-step explanation:

5(2x + 7)

= 5^2x + 5*7

= 10x + 35

Answer:

B.  y = 2 cos x - 1

Step-by-step explanation:

This is a cosine function as it is symmetrical about the y axis.

It is cos x stretched vertically by a factor 2 and moved 1 unit down

Answer:

x = -3

Step-by-step explanation:

12 -4x-5x = 39

Combine like terms

12 - 9x = 39

Subtract 12 from each side

12-9x-12 = 39-12

-9x = 27

Divide by -9

-9x/-9 = 27/-9

x = -3

Answer:

x = -3

Step-by-step explanation:

12 - 4x - 5x = 39

Combine like terms

12 - 9x = 39

Subtract 12 from both sides

12 - 12 - 9x = 39 - 12

-9x = 27

Divide both sides by -9

-9x/-9 = 27/-9

x = -3

Answer:

Point D

Step-by-step explanation:

CD and MD share a common point, so it is the intersection

D

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

It’s b. $192,727

Step-by-step explanation

i hope this help

can I get brainly

Answer:

(-3, 3/2)

Step-by-step explanation:

To find the midpoint between two points you are going to add the X1 and X2, then divide by two. Then you are going to add the Y1 and Y2, and divide by two.

A(-6,1)       B(0,2)

= (-6+0, 1+2)

= (-6, 3)

=(-6/2, 3/2)

=(-3, 3/2)

Step-by-step explanation:

(=) 5 (-1-3x) >-39-2x

(=) -5-15x > -39-2x

(=) -13x > -34

=> x < 34/13

Answer:

384

Step-by-step explanation:

Answer:

384 words

Step-by-step explanation:

Number of words typed in 1 minute = 48

So, number of words typed in 8 minutes

= Number of words typed in 1 minute × 8

= 48 × 8

= 384

So, Curtis types 384 words in 8 minutes.

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

  y = ax +b

  a = 3, b = -8

Answer:

too complex:<

Step-by-step explanation:

120cm+120cm=240cm (2 squirrels + 2 air spaces)

90cm+90cm=180cm (2 rats + 2 air spaces)

240cm-180cm=(2 squirrels + 2 air spaces) - (2 rats + 2 air spaces)

                       =2 squirrels + 2 air spaces - 2 rats - 2 air spaces

                       =2 squirrels - 2 rats

                       =60cm

1 squirrel - 1 rat = 60cm divided by 2

                         = 30cm

120cm + 90cm = squirrel + air space + rat + air space

                        = 210cm

I've no idea!! This qn is too challenging!!

But i hope the above workings might help you in a way or another:>

The table is 105cm tall.

Two or more expressions with an Equal sign is called as Equation.

Let the table is x

Squirrel is y

Rat is z

From 1st diagram

x+y-z=120...(1)

From 2nd diagram

x+z-y=90...(2)

Add 1 and 2

x+y-z+x+z-y=120+90

2x=210

Divide both sides by 2

x=105

Hence, the table is 105cm tall.

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Answer:

$1.5

Step-by-step explanation:

Solve by graphing the system of equations where x = the number of hot dogs and y = the number of hamburgers

> 3x + 2y = 8

> 2x + 3y = 8.25

The solution is (1.5, 1.75)

-- Check attachment for graph

Answer:

it is equal to 0