A builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. How many acres does the builder buy? *
X. X. X
X X. X
X. X. X
X. X x
X. X x
X 2/6 3/6
X
X
X
X
X
1/6

Answer:

The rate increases at 398mi/h

Step-by-step explanation:

Given

[tex]\frac{dx}{dt} = 460mi/h[/tex] --- rate when [tex]y = 2[/tex] --- distance

The given parameters is represented with the attached figure

Using Pythagoras theorem [take the attached image as a point of reference]

[tex]y^2 = x^2 + 1^2[/tex]

[tex]y^2 = x^2 + 1[/tex]

Differentiate with respect to time (t):

[tex]2y \frac{dy}{dt} = 2x \frac{dx}{dt}[/tex]

Divide both sides by 2

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex] --- (1)

When y = 2:

[tex]y^2 = x^2 + 1^2[/tex] --- Pythagoras Theorem

[tex]2^2 = x^2 + 1[/tex]

[tex]4 = x^2 + 1[/tex]

Collect like terms

[tex]x^2 = 4 -1[/tex]

[tex]x^2 = 3[/tex]

Solve for x

[tex]x = \sqrt 3[/tex]

So:

[tex]y \frac{dy}{dt} = x \frac{dx}{dt}[/tex]

Substitute: [tex]x = \sqrt 3[/tex], [tex]\frac{dx}{dt} = 460mi/h[/tex] and [tex]y = 2[/tex]

[tex]2 * \frac{dy}{dt} = \sqrt 3 * 460[/tex]

[tex]2 * \frac{dy}{dt} = 460\sqrt 3[/tex]

Divide by 2

[tex]\frac{dy}{dt} = 230\sqrt 3[/tex]

[tex]\frac{dy}{dt} = 230*1.7321[/tex]

[tex]\frac{dy}{dt} = 398.383[/tex]

[tex]\frac{dy}{dt} \approx 398[/tex]

Answer

37 ,123.52

Explanation

the image above, hope it helps

Answer:

16 + 2x

Step-by-step explanation:

Answer:

[tex]Amount = -\$1461.9[/tex]

Step-by-step explanation:

We have the following:

[tex]Total = 52[/tex] --- cards in a standard deck

Represent cards with a value of 5 or less with x

So:  [tex]x = \{2, 3, 4, 5\}[/tex] i.e 4 cards

However, each of these has a frequency of 4.

So: [tex]n(x) = 4\ cards* 4[/tex]

[tex]n(x) = 16[/tex]

The probability is:

[tex]p(x) = \frac{16}{52}[/tex]

The cost of this is:

[tex]C(x) = +\$7[/tex]

Represent cards with a value of above 5 with y

[tex]n(y) = 52 - 16[/tex]

[tex]n(y) = 36[/tex]

The probability is:

[tex]p(y) = \frac{36}{52}[/tex]

The cost of this is:

[tex]C(y) = -\$7[/tex] --- It is negative because you lost

In a game, your expected amount is:

[tex]E = n(x) * C(x) + n(y) * C(y)[/tex]

[tex]E = \frac{16}{52} * (+\$7) + \frac{36}{52} * (-\$7)[/tex]

[tex]E = \frac{16* \$7}{52} - \frac{36* \$7}{52}[/tex]

[tex]E = \frac{\$112}{52} - \frac{\$252}{52}[/tex]

[tex]E = \frac{\$112 - \$252}{52}[/tex]

[tex]E = -\frac{\$140}{52}[/tex]

When you play 543 times, the expected amount is:

[tex]Amount = E * 543[/tex]

[tex]Amount = -\frac{\$140}{52} *543[/tex]

[tex]Amount = -\frac{\$140 *543}{52}[/tex]

[tex]Amount = -\frac{\$76020}{52}[/tex]

[tex]Amount = -\$1461.9[/tex]

Answer:

Step-by-step explanation:

3x-11  = x+9

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

Answer: 2/12

3/18

4/24

Step-by-step explanation:

Answer:

umm 4 ft

Step-by-step explanation:

Answer:

12 ft sq.

Step-by-step explanation:

-1/4 or -1/4x

---

hope it helps

sorry if it doesn't

Answer:

p = $200

Step-by-step explanation:

90/p = 45/100

45p = 9000

p = 9000/45 = $200

Answer:

 6%

Step-by-step explanation:

Given data

Principal= $1585

Time = 5 years

Interest =  $475.50

Rate =???

The expression for the interest is given as

SI=PRT/100

substitute

475.50=1585*R*5/100

Cross multiply

475.50*100= 7925R

47550=7925R

R= 47550/7925

R= 6%

Hence the rate is  6%

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

Learn more here:

Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..

10 men can complete a job in 200 days. They started the work. After...

Answer:

Step-by-step explanation:

Think B cause if it was 3 in the bracket it be × by ⅓ so ⅓ does the opposite I think

Answer: 92.4

Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be

98+97+83+94+90= 462 Then you divide that by 5 and get 92.4

Hope this helps ^^

Answer:

197 in²

Step-by-step explanation:

TOP 5x5=25

BOTTOM 9x5=45

BACK 5x5=25

SLOPED FRONT 6.4x5=32

TRAPEZOID SIDE (9+5)/2x5=35 (each), so 70

25+45+25+32+70=197

Answer:

m<1 = 97°

Step-by-step explanation:

<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:

m<1 + 83° = 180°

Therefore:

m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)

m<1 = 97°

Answer:

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

Answer:

m∠t = 143°

m∠x = m∠t

i'm just ordinary human, CMIIW

Answer:

240

Step-by-step explanation:

Hello There!

Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram

The formula for area of a parallelogram is

[tex]A=bh[/tex]

where b = base and h = height

the given dimension are

height = 15

base = 16

so all we have to do is plug in the values into the formula

[tex]A=(15)16\\15*16=240\\A=240[/tex]

so we can conclude that the area of the polygon is

240 square units

Answer: Yes, it is.

Step-by-step explanation:

Sorry, I just know the answer because I just did this in school. Like- right now

Answer:

the the figure shown x=7

Answer:

7°

Step-by-step explanation:

7x + 5 °+ 36° + 90 °= 180° ( being sum of angles of triangle )

7x + 131° = 180°

7x = 180 °- 131 °

7x = 49°

x = 49° / 7

x = 7°

Answer:

y=3×+6

Step-by-step explanation:

bla bla bla bla bla bla bla hhhhhhhhhhhh

Answer:

B, D, F

Step-by-step explanation:

B, D, F

Answer:

The thing u pasted is glitched and isn't loading

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

-3 x (8 + [-10]) =

-3 x (8 - 10) =

-3 x -2 =

6

HOpe that helps!

Answer: 6

Step-by-step explanation:

finding the answer from an equation

replace the values of x and a in the equation:

(-3) * ( 8 + -10)

= (-3) * (-2)

recall :

(-) * (-) = +

hence -3 * -2

= 6

Hope this helps. Can u pls give me brainliest

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.

Answer:

The cut-off dollar amount is $328.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean cost of $328, standard deviation of $82.

This means that [tex]\mu = 328, \sigma = 82[/tex]

If you want to be in the bottom 50%, what will be the cut-off dollar amount?

The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0 = \frac{X - 328}{82}[/tex]

[tex]X - 328 = 0*82[/tex]

[tex]X = 328[/tex]

The cut-off dollar amount is $328.

Answer:

B and C

Step-by-step explanation:

but i'm not sure