A 10-foot ladder is leaning against a tree. The bottom of the ladder is 6 feet away from the bottom of the tree. About how high up the tree does the top of the ladder reach?


4 feet

6 feet

8 feet

16 feet

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

Answer:

the 15 multi pack

Step-by-step explanation:

Answer:

1.75 x 1.75

fillerfillerfiller

Answer:

F = (-2,4); E = (-2,0); D = (2,0)

Step-by-step explanation:

F = 4 points from A, so by a scale factor of 2, it would be 2 times father away from A. The same thing applies for all of the other points; just find how much father A is from a point, then dilate that point by multiplying it by the scale factor, and settling the point closer or father from A.

Answer:4x1/3=4/3

Step-by-step explanation:

In the pictures there’s 4 one thirds and if u add them together is 4/3

Answer:

a,b,c,d and e

Step-by-step explanation:

a circle can be rotated any degree an be symmetrical therefore it has a infinite order of rotational symmetry

thus meaning that the answers are a , b , c, d and e

Answer:

[tex] \huge \boxed{ \boxed{t - 3.5 = 5}}[/tex]

Step-by-step explanation:

a apple costs 1.75

2 apple costs 1.75×2=3.5

let her total money be t

according to the question

Answer:

i think the answer is 10.5

Step-by-step explanation:

1.25 for a gallon means that 1.25 x 8 = 10. 0.4 gallons mean 1.25 divided by 0.4 which gets you 0.5. I think that's the right answer

Hope this helps!

Mark brainliest please

Answer:

$10.50

Step-by-step explanation:

Answer:

You need a protractor

Step-by-step explanation:

to measure the angles

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 36.57

Explanation:

6x4 = 24

3.14(2)^2 = 12.56

12.57+24=36.57

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

81%

Step-by-step explanation:

200 - 38 = 162

162 ÷ 200 = 0.81

81%

Answer:

The population in this situation is all green beans in her field.

Step-by-step explanation:

Informally, if you take a sample of an object, the population in all of these objects.

In this question:

Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.

Answer:

I believe it is 3

Step-by-step explanation:

Answer:

the answer is 3 brainlest plz

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the rule they tell you of  1.5

so (x,y) ⇔1.5(x,y)

w = (2,0)

x = ( 0,2)

y = (-2, 1)

z = (0, -2)

1.5(x,y)

W' = (3,0)

X'= (0, 3)

Y' = ( -3, 1.5)

Z' = (0, -3)

nice :)

There are 7 days in a week.

1/2 hour x 7 days = 3 1/2 hours per week.

3 1/2 hours per week x 4 weeks = 14 hours

He read for a total of 14 hours

Answer:

14 hours

Step-by-step explanation:

half hour = 30 minutes

1 week = 7 days

30(minutes) x 7(days) = 210 minutes

210(minutes) x 4(weeks) = 840 minutes

Now we know how much time Danny has read (840 minutes), but we need to know what that is in hours.

840 minutes = how long Danny has read in minutes

60 minutes = hour

840(minutes) ÷ 60(minutes) = 14(hours)

9514 1404 393

Answer:

  b = 32

Step-by-step explanation:

The law of sines tells you ...

  b = a·sin(B)/sin(A)

  b = 14·sin(75°)/sin(25°) ≈ 31.998

  b ≈ 32 . . . . units

Answer:

bottom half

bottom- 3 x 12.5 = 37.5

front side- 3 x 4 = 12

back side- 12

left side- 4 x 12.5 = 50

right side- 50

total: 161.5

top half

front triangle- (3x4)/2 = 6

back triangle- 6

left side- 4 x 12.5 = 50

right side- 50

total: 112

161.5 + 112 = 273.5

Answer:

a. Unikely

b. Likely

c. Equally likely

d. Unlikely

e. Equally likely

f. Equally likely

g. Unlikely

h. Likely

i. No SPINNER SHOWN?

j. NO SPINNER SHOWN?

Step-by-step explanation:

Answer:

The tree is less than 15 feet

Step-by-step explanation:

Given

[tex]x < 15[/tex]

Required

Interpret

The above inequality implies that the value of x is less than 15.

Since x represents the height of the tree in feet.

We can say that:

The tree is less than 15 feet

Answer:

24

Step-by-step explanation:

Let x be the number.

[tex]x/4=6[/tex]

Multiply both sides by 4 to isolate x

[tex](x/4)4=6*4\\x=24[/tex]

I hope this helps!

Answer:

The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.

Step-by-step explanation:

Subtraction of normal variables:

When we subtract two normal variables, the standard deviation is the square root of the sum of variances of each variable.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6.

The standard error for this sample is:

[tex]s_b = \frac{1.6}{\sqrt{195}} = 0.1246[/tex]

Sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.

The standard deviation for this sample is:

[tex]s_a = \frac{2.1}{\sqrt{143}} = 0.1756[/tex]

What represents the standard error of the difference in the mean number of fish caught before and after the fire?

[tex]s = \sqrt{s_a^2 + s_b^2} = \sqrt{0.1756^2 + 0.1246^2} = 0.2153[/tex]

The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.

Answer:

sqrt [ (1.6^2)/195 + (2.1^2)/143 ]

Answer:

okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

(x+4)/x=24/16

24x=16x+64

8x=64

x=8

Answer:

Scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Formula for the dilation to be used,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

                    = [tex]\frac{A'B'}{AB}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Therefore, scale factor by which quadrilateral ABCD has been dilated to form image quadrilateral A'B'C'D' is [tex]\frac{1}{4}[/tex].

Complete question :

Suppose that of the 300 seniors who graduated from Schwarzchild High School last spring, some have jobs, some are attending college, and some are doing both. The following Venn diagram shows the number of graduates in each category. What is the probability that a randomly selected graduate has a job if he or she is attending college? Give your answer as a decimal precise to two decimal places.

What is the probability that a randomly selected graduate attends college if he or she has a job? Give your answer as a decimal precise to two decimal places.

Answer:

0.56 ; 0.60

Step-by-step explanation:

From The attached Venn diagram :

C = attend college ; J = has a job

P(C) = (35+45)/300 = 80/300 = 8/30

P(J) = (30+45)/300 = 75/300 = 0.25

P(C n J) = 45 /300 = 0.15

1.)

P(J | C) = P(C n J) / P(C)

P(J | C) = 0.15 / (8/30)

P(J | C) = 0.5625 = 0.56

2.)

P(C | J) = P(C n J) / P(J)

P(C | J) = 0.15 / (0.25)

P(C | J) = 0.6 = 0.60

The correct form of the geometric sequence is:[tex]5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...[/tex]

To identify the correct form of the geometric sequence 5, 35, 245, 1,715, ..., we can look for a common ratio between consecutive terms.

To find the common ratio, we divide any term by its preceding term. Let's take the second and first terms:

35 / 5 = 7

Now, let's check the third and second terms:

245 / 35 = 7

Similarly, for the fourth and third terms:

1,715 / 245 = 7

Since we obtained the same result (7) for all ratios, we can conclude that the common ratio of this geometric sequence is 7.

Now, let's express the general form of the sequence using the first term (a) and the common ratio (r):

a, ar, [tex]ar^2,[/tex] [tex]ar^3,[/tex] ...

Substituting the given values:

a = 5 (the first term)

r = 7 (the common ratio)

The correct form of the geometric sequence is:

[tex]5, 5 * 7, 5 * 7^2, 5 * 7^3[/tex], ...

Simplifying the terms, we get:

5, 35, 245, 1,715, ...

Therefore, the correct form of the geometric sequence is:

5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...

Learn more about geometric sequence at https://brainly.com/question/1509142

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