Luke and Liam found an old castle on a recent hike.
15°
125
The sign said the tower was 30 meters high. Because of social distancing, Luke and Liam stood
meters apart while looking at the top of the castle tower.
Round to the nearest meter.

Answer:

y= 4x+12

Step-by-step explanation:

Slope of this line: 4

So we can write in point slop form: y+1= 4(x+3)

Simplify = y+1=4x+12

More simplifying: y=4x+12

This is the answer

Answer:

the park

Step-by-step explanation:

Answer:

Your mom's house

Step-by-step explanation:

Answer:

IS IT FREE??????????????????/

Answer:

The volume V of the region = 80

Step-by-step explanation:

The objective is to find the volume of the solid region bounded by z = 12 - y

Given that the portion of solid between the planes z = 12 - y and z = y; over the region R in the xy - plane bounded by y = x² and y = 6 - x²

Thus;  R = { (x,y)/-2 ≤ x ≤ 2, x² ≤ y 6 - x² }

Then the volume is computed as follows:

[tex]V = \int \int_R [(12 -y) -y] \ dy. dx[/tex]

[tex]V = \int^2_{-2} \int ^{6-x^2}_{x^2} (12-2y) \ dy \ dx[/tex]

[tex]V = \int^2_{-2}[ (12y-y^2]^{6-x^2}_{x^2} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-x^2-x^2] - [(6-x^2)^2-(x^2)^2] \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 12 [6-2x^2] - [36-12x^2]] \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} \begin {bmatrix}{ 72 -24x^2-36+12x^2 \end {bmatrix} \ dx[/tex]

[tex]V = \int^2_{-2} [36-12x ^2] \ dx[/tex]

[tex]V = \begin {bmatrix} 36x - \dfrac{12x^3}{3}\end {bmatrix}^2_{-2}[/tex]

[tex]V =2 \begin {bmatrix} 72 - \dfrac{96}{3}\end {bmatrix}[/tex]

V = 80

Answer:

The surface area would be 198² in.

Answer:

$17.70

Step-by-step explanation:

Total money he has - $60

2 pizzas, a brownie = $20.40 + $5.40 = $25.80

A milkshake with $10 tips = $6.50 + $10 = $16.50

Totally = $25.80 + $16.50 = $42.30

Balance - $60 - $42.30 = $17.70

He had $17.70 balance

Hope you understand

:-)

Answer:

Domain: (-∞, -4) U (-4,∞)

range: (0,∞)

Answer:

It will increase

Step-by-step explanation:

As the mean increases the median also increases.

Answer:

x=15

Step-by-step explanation:

3x-27=18

3x=18+27

3x=45

x=45/3

x=15

Answer:

ITS 7

Step-by-step explanation:

I got the other ones wrong and i checked what was the correct answer and it said it was 7

Answer:

y= 13/4x - 21

Step-by-step explanation:

What we need to do is find the slope first. We know the slope formula is

y_1 minus y_2/ x_1 minus x_2. I am assuming that one point is (8,5) the other is (4,-8). So when we insert these coordinates into the equation,

[5-(-8)/8-4] we result with 13/4 as the slope. We can now use the slope-intercept form! ( y=mx+b) 13/4 can be put into this equation as m, because its the slope. So, now we have y=13/4x+b. The last step to find the equation is inserting the first coordinates given.(8,5)     5= 8(13/4)+b. 8 times 13 divided by 4 is 26. This is what we factored to so far: 5= 26+b. We are trying to solve for b! So lastly, 5-26= -21 and that is b. Once again, we can use the slope intercept formula since we know both b and the slope. FINAL ANSWER: y=13/4x-21. I hope this can help!

Answer:

-8

Step-by-step explanation:

Answer:

Point of Interesection: (1, 1)

Step-by-step explanation:

Given the equation 3x^2-5xy-2y^2-x+9y-4 = 0.

We can translate this into a system of equations: y = 1/2x + 1/2, and y = -3x + 4.

Answer:

it would sell for $15.99

Step-by-step explanation:

9.14(1.75) = 15.99

Answer:

C. 82/3 is the correct answer

Step-by-step explanation:

A. √27 is incorrect because it is equal to 5.2

B. 5^2 is incorrect because it is equal to 25

D. √602 is incorrect because it is equal to 24.5

soooo...

The only correct answer is C. 82/3 because it equals 27 1/3 or 27.3

Hope this helps!

Answer:

65.24 miles.

Step-by-step explanation:

Answer:

2&u4hds

Step-by-step explanation:

ok

Complete Question

Newly purchased automobile tires of a certain type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. Find the P-value associated with each of the following given z statistic values for testing H0: μ = 30 versus Ha: μ 30 when σ is known. (Give the answers to four decimal places.)

calculate for each

(a) z = 2.30

(b) z = -1.7

Answer:

a

[tex]p-value = 0.021448[/tex]

b

[tex]p-value = 0.08913[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is [tex]\mu = 30 \ psi[/tex]

   The null hypothesis [tex]H_o : \mu = 30[/tex]

    The alternative hypothesis is  [tex]H_a : \mu \ne 30[/tex]

Considering question a  

 Here  the test statistics is (a) z = 2.30  

 From the z table  the probability of  (Z >  2.30)  is  

      [tex]P(Z > 2.30 ) = 0.010724[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z > 2.30 )[/tex]

=>   [tex]p-value = 2 * 0.010724[/tex]

=>   [tex]p-value = 0.021448[/tex]

Considering question b

 Here  the test statistics is (a) z = -1.7

 From the z table  the probability of  (Z <  -1.7)  is  

      [tex]P(Z < -1.7 ) = 0.044565[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P(Z < -1.70 )[/tex]

=>   [tex]p-value = 2 * 0.044565[/tex]

=>   [tex]p-value = 0.08913[/tex]

Answer:

17.15

step by step explanation

2.45 divided by seven equals .35.

So each oranges is .35¢

So now multiply .35 by 8 and you’ll get a total of $2.80

$2.80 for 8 oranges.

Answer:

The answer is option D. Note: the option is not properly formatted

D. x+y+z=200----------------1

    75x+45y+30z=12300-------2

     z=3y---------------3

Step-by-step explanation:

 In this problem, we want to model the expression to represent the situation

let the numbers of trees be

Coconut Palm trees be x,

Saw Palmetto Palm trees be y, and

Christmas Palm trees be z.

total trees =200

x+y+z=200----------------1

also costs are

Coconut Palm trees= $75 each

Saw Palmetto Palm trees = $45 each

Christmas Palm trees =$30 each

cost of all trees =$12,300

75x+45y+30z=12300----------------------2

z=3y---------------3

The system of equation is

x+y+z=200----------------1

75x+45y+30z=12300-------2

z=3y---------------3

Answer:

Step-by-step explanation:

418 + 13 = 431

0.42 + 0.587 = 1.007

   431

+     1.007

 432.007

Hope this helps! <3

Answer:

Some one called me the b word and I said at least I’m cute dog  you look like a frog

Step-by-step explanation:

Answer:

My day is good, thank you! My best roast for thanksgiving is chicken on top of veggies!

Step-by-step explanation:

Answer:

since you're rounding to the hundred thousand, it would round up to the 4th option as 683,492 is closer to 700,000 than 600,000

Answer:

The answer is -12

Step-by-step explanation:

Because if X=3 and it was -X4 times then it is 3x4 which equals 12 then add the negative back to the answer you get -12

Answer:

The answer is -81

Step-by-step explanation:

..........

Answer: 1/6.

Step-by-step explanation:

The possible outcomes of Bob are {1, 2, 3, 4}

The possible outcomes of Alice are {1, 2, 3, 4, 5, 6}

Notice that the outcome space of Bob is included in the outcome space of Alice.

Now, Bob rolls his dice and gets an outcome between 1 and 4, let's suppose that the outcome is a 2.

Now, Alice needs to roll a 2 in her 6-sided dice.

The 2 appears one time, and there are 6 possible outcomes:

The probability will be equal to the probability for each number, this i:

P = 1/6.

And will be the same for any outcome in Bob's roll, so the probability that they obtain the same number is 1/6.

Answer:

The answer is below

Step-by-step explanation:

The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. a) What is the probability that a battery lasts more than four hours b) What are the quartiles (the 25% and 75% values) of batterylife? c) c) What value of life in minutes is exceeded with 95% probability? (Roundthe answer to the nearest integer.)

Solution:

The z score is used to determine by how many standard deviations the mean is above or below the raw score. If the z score is positive then the raw score is above the mean while if the z score is negative then the raw score is below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean, \sigma=standard\ deviation[/tex]

Given μ = 270 minutes, σ = 50 minutes

a)

P(x > 4 hours) = P(x > 240 minutes)

[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{240-270}{50} =-0.6[/tex]

From the distribution table, P(x > 240) = P(z > -0.6) = 1- P(z < 0.6) = 1 - 0.2743 = 0.7257

c)  P(z > z*) = 0.95

1 - P(z < z*) = 0.95

P(z < z*) = 0.05

This corresponds to a z score of -1.645

[tex]z=\frac{x-\mu}{\sigma}\\ \\-1.645=\frac{x-270}{50} \\\\x=187.75 \ minutes[/tex]

For 75%, P(z < z*) = 0.75

This corresponds to a z score of 0.68

[tex]z=\frac{x-\mu}{\sigma}\\ \\0.68=\frac{x-270}{50} \\\\x=304 \ minutes[/tex]

c) For 25%, P(z < z*) = 0.25

This corresponds to a z score of -0.67

[tex]z=\frac{x-\mu}{\sigma}\\ \\-0.67=\frac{x-270}{50} \\\\x=236.5 \ minutes[/tex]

Answer:

It might be A

Step-by-step explanation:

but that's what I think

Answer:

1° F

Step-by-step explanation:

10° below zero is equivalent to -10°.

Then if you add 17° to that, then you get 7°.

Then subtract 6°, giving you a final answer of 1° F

Answer:

10

Step-by-step explanation:

ur welcome

Answer:

10

Step-by-step explanation:

I just took the quiz soooooo yuh hope this helps

Answer:

15

Step-by-step explanation:

[tex]4x - 5x = - 15[/tex]

[tex] - x = - 15[/tex]

[tex]x = 15[/tex]

i think this is the answer