A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answer:

119400

Step-by-step explanation:

The approximate population of the city was 119400

Answer:

50m

Step-by-step explanation:

The triangles are similar, so their sides are in ratio:

BC/BE=AD/ED

j/46=25/23

j=(25/23)(46)=50

Answer:

83

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Hail Hydra

Answer:

The slope is 7

Step-by-step explanation:

The equation is in y=mx+b form

m=the slope

b=y-intercept

Answer:

Step-by-step explanation:

B dawn made 45 out of 50 free throws

Answer:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

he slept for 1/2 of the trip and then slept have the distance that was left so that would be 1/2 divided by 2 equals 1/4 so 1/2 plus 1/4 equals 3/4 so george has 1/4 of his journey left.

George was asleep for 33.3% of the journey.

When George went to sleep, he was halfway through to his grandmother's house which means that he was left with 1/2 of the journey.

When he woke up, he was still left with half of the distance he had slept. If we made this an expression and assume the percentage of the journey he slept was x, it would be:

1/2 of the journey = 1/2x + x

1/2 = 1.5x

x = 1/2 ÷ 1.5

x = 33.3%

George therefore fell asleep for 33% of the journey.

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Answer:

[tex]y = 4.5x[/tex]

Step-by-step explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) =(2,9)[/tex]

[tex](x_2,y_2) =(6,27)[/tex]

So, we have:

[tex]m = \frac{27 - 9}{6 - 2}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

Next, the equation is calculated using:

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

So, we have:

[tex]y = 4.5(x - 2) + 9[/tex]

Open bracket

[tex]y = 4.5x - 9 + 9[/tex]

[tex]y = 4.5x[/tex]

Answer:

6

Step-by-step explanation:

Answer: x=11/3

Step-by-step explanation:

Answer:

$230.04

Step-by-step explanation:

216 * 0.065= 230.04

Answer:

The maximum guaranteed waiting time should be of 18.37 minutes.

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.

It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.

This means that [tex]\mu = 15, \sigma = 2.4[/tex]

The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?

The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.

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

[tex]1.405 = \frac{X - 15}{2.4}[/tex]

[tex]X - 15 = 1.405*2.4[/tex]

[tex]X = 18.37[/tex]

The maximum guaranteed waiting time should be of 18.37 minutes.

Answer:

45

Step-by-step explanation:

Answer:

The blank for the computers will be 20 because they are multiply each number by 2. The top blanks will be 4 and 16

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.

2.)  Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.

3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).

4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).

5.) Now, subtract both interquartiles. This should give you your answer (5).

Answer:

51

Step-by-step explanation:

34/200=.17

.17×300= 51

Answer:

C.

g(x) = -|x|

Step-by-step explanation:

Absolute value vertex. In this case, the vertex for y=−|x|y=-|x| is (0,0)(0,0)

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(−∞,∞)(-∞,∞)

9514 1404 393

Answer:

  no change to the width of the curve

Step-by-step explanation:

Your terminology and use of symbols (>, <) are unusual, so we're not sure what your question is.

The equation represents a transformation of the parent function

  y = x²

The transformation (replacing x with (x-4)) is a translation right 4 units. This can be seen in the attached graph. The "parent function" is shown in red. Your function is shown in blue.

Nothing about this transformation changes the width of the curve, so it is neither thinner nor wider than it was originally. The description usually used if the curve is narrower or wider is "horizontal compression" or "horizontal expansion."

The curve does get wider for larger y-values. It is said to "open upward".

__

Additional comment

The symbols < and > stand for "is less than" and "is greater than", respectively. They are occasionally used as "angle brackets" to identify vectors or tokens of one sort or another. Sometimes, they are used to signify an angle when the appropriate ∠ symbol is not available. This is the first time in many years of studying math that I have seen them in the context of "thinner" and "wider."

What is the volume of a cube with a side length of 2/5 cm? 0.4 cm

Answer:

8/125 cm³

Step-by-step explanation:

(2/5)³=2³/5³

= 8/125 cm³ or 0.064

Answer:

Option 2 or B

Step-by-step explanation:

B, if you look at the data table, you can notice that x and y are decreasing (therefore going down). I hope this helps?

Required volume=352π or 1105.84in³

Answer:

solution given.:

radius of outer rim[R]=5in

radius of inner rim[r]=3in

height[h]=22in

we have

volume of Styrofoam collar[V]=volume of cylinder of (outer rim -inner rim)

=πR²h-πr²h=πh(R²-r²)=π×22(5²-3²)=352π or 1105.84in³

Answer:

268 cm²

Step-by-step explanation:

Surface area = (front + back + left side + right side + top + bottom) areas

since pairs of areas are the same (front back, left rigth, top bottom)

Surface area = (2 · front + 2 · left side  +  2· top) areas

                     = 2 · 11 · 4 + 2 · 11 · 6 + 2 · 4 · 6

                     = 268 cm²

Answer:

Its c enjoy

Step-by-step explanation:

Answer:

1,908.5

Step-by-step explanation:

Add 1900 + 1917 and divide by two

1900+ 1917 = 3817

3817 divided by 2 = 1908.5

Answer:

Step-by-step explanation:

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

16 = diameter

Circumference = Diameter * pi

Sometimes the teacher may want you to round pi to 3.14...

In that case do 16 * 3.14 = 50.24

Answer:

d. Aaron could have chosen any company because the premiums are all the same.

Step-by-step explanation:

Going by the age of Aaron and the percentages charged by the various company due to smoking, it is safe to conclude that, the premiums are all the same. This could be seen in the table of column and rows which shows the annual insurance premiums (per 1,000 dollars of face value) over a 10 years term. The variation helps to show that, when the premium is evaluated, the are all the same.

Answer:

A

Step-by-step explanation:

The measure of angle x will be 145° so option (C) will be correct.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance. For instance, a meter or an inch is a unit of measurement for linear motion.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle all around the line is 360°.

The angle 165°, 50°, and x consist total of 360°.

165 + 50 + x = 360

x = 145°.

So the angle of x will be 145°.

For more about the angle

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Answer:

0.0337 = 3.37% probability that a particular death is due to an automobile accident

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a particular death is due to an automobile accident?

Total of 1008 deaths.

34 resulted from an automobile accident. So

[tex]p = \frac{34}{1008} = 0.0337[/tex]

0.0337 = 3.37% probability that a particular death is due to an automobile accident

Answer:

n=100

Step-by-step explanation:

3n+1=301

3n=300

n=100