ABC is similar to DEF

The measure of line segment DE is ......

Round to the nearest tenth.

ANSWER

EXPLANATION

The student wants to convert 0.06 gm²/s² to kgm²/s².

To do that, multiply the number in gm²/s² by 0.001.

This means that the empty square will be 0.001 and the "?" will be the number in kgm²/s².

Therefore, we have that the equation is:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The following coordinates from the graph as,

(15, 80) and (45, 130)

15 and 45 are the seconds.

80 and 130 are the temperatures.

Now,

The rate of change in the temperature during the first 45 seconds.

= (130 - 80) / (45 - 15)

= 50/30

= 5/3

= 3.67 degrees Fahrenheit per second

Thus,

The rate of change in the temperature during the first 45 seconds is

3.67 degrees Fahrenheit per second

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Answer:

\(Median = 15.80\)

\(Mode = 15.20\ \&\ 15.25\)

\(IQR = 2.35\)

Step-by-step explanation:

Given

\(15.60,\ 18.75,\ 14.60,\ 15.80,\ 14.35,\)

\(13.90,\ 17.50,\ 17.55,\ 13.80,\ 14.20,\)

\(19.05,\ 15.35,\ 15.20,\ 19.45,\ 15.95,\)

\(16.50,\ 16.30,\ 15.25,\ 15.05,\ 19.10,\)

\(15.20,\ 16.22,\ 17.75,\ 18.40,\ 15.25.\)

Solving (a): The median and the mode

First, we sort the data.

\(13.80,\ 13.90,\ 14.20,\ 14.35,\ 14.60,\ 15.05,\ 15.20,\ 15.20,\ 15.25,\ 15.25,\)

\(15.35,\ 15.60,\ 15.80,\ 15.95,\ 16.22,\ 16.30,\ 16.50,\ 17.50,\ 17.55,\ 17.75,\)

\(18.40,\ 18.75,\ 19.05,\ 19.10,\ 19.45.\)

The median position is:

\(Median = \frac{n + 1}{2}th\)

\(Median = \frac{25 + 1}{2}\)

\(Median = \frac{26}{2}\)

\(Median = 13th\)

The 13th item is: 15.80

Hence:

\(Median = 15.80\)

The modes are:

\(Mode = 15.20\ \&\ 15.25\) --- they both have frequency of 2 while others occur once

Solving (b): The interquartile range

This is calculated as:

\(IQR = Q_3 - Q_1\)

Since the median is at the 13th position, Q1 is:

\(Q_1 = \frac{1 + 13}{2}th\)

\(Q_1 = \frac{14}{2}th\)

\(Q_1 = 7th\)

The 7th item is: 15.20

\(Q_1 = 15.20\)

Similarly, Q3 is:

\(Q_3 = \frac{13+n}{2}\)

\(Q_3 = \frac{13+25}{2}\)

\(Q_3 = \frac{38}{2}\)

\(Q_3 = 19th\)

The 7th item is: 17.55

So:

\(Q_3 = 17.55\)

Hence,

\(IQR = 17.55 - 15.20\)

\(IQR = 2.35\)

The value of fraction 0.5 7  is equal to 1/2.

We are given that;

Number = 0.57

Now,

There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.

For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.

Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.

These fractions are equivalent because they have the same value when simplified or reduced.

To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).

Therefore, by algebra the answer will be 1/2.

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Answer: Scenario 1: The slope of the line in this scenario would be negative. This is because the relationship between the amount of gas used and the hours ridden is a linear relationship where the more hours Stella rides, the more gas she will use. Since each hour of riding uses 0.1 gallons of gas, the rate of change (i.e., the slope) will be negative, meaning that as the number of hours ridden increases, the amount of gas remaining in the tank will decrease.

Scenario 2: The slope of the line in this scenario would be zero. This is because there is no relationship between the number of pieces of gum in the backpack on Monday and the number of pieces of gum left on Friday. The number of pieces of gum remained the same throughout the week, so there is no change in the number of pieces of gum, and hence the slope of the line would be zero.

Step-by-step explanation:

A) Stratified. The method of selecting a classroom number at random and then surveying all the students in that room is an example of stratified sampling.

In stratified sampling, the population is divided into smaller subgroups, or strata, based on a certain characteristic (such as grade level), and a sample is selected from each stratum. They call the subgroups strata and give information in the form of divisions for a better understanding of a topic or a piece of information.

After dividing the main matter the subtopics are also sampled randomly in order to acquire the right solution for the survey. this method is one of the better methods to be done in order to get better results on a topic.

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Answer: 6.02

Step-by-step explanation:

use SOH CAH TOA, or in this case SOH

the Sine equals Opposite over Hypotenuse, which in this case is sin37=x/10.

Plug into a calculator and you get 6.02 after rounding.

Hope this helps :)

(and thanks for answering one of my questions)

The value of x is 6.01815 cm.

Trigonometry is a discipline of mathematics that studies the relationship between the sides of a triangle (right triangle) and their angles. There are six trigonometric functions that define the relationship between sides and angles.

We have,

Angle = 37

Hypotenuse = 10 cm

Using Trigonometry

sin 37 = P/ H

0.601815 = x/ 10

x= 6.01815 cm

Thus, the value of x is 6.01815 cm.

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Answer:

It is a weak negative correlation, and it is likely causal.

Step-by-step explanation:

Correlation coefficient can be said to be a statistical value that shows the relationship between two variables.

Here, the correlation coefficient is 0.26 which means that the magnitude of correlation is low and it causes a weak correlation.

Here, since one variable increases as the other variable decreases, the correlation is said to be negative and weak. We can see that the more a player golf's, the lower the number to required strokes. This would result in a negative slope.

Therefore, It is a weak negative correlation, and it is likely

causal.

Answer:

The correct answer is B on edge 2020.

Step-by-step explanation:

Answer:

D) -1

By looking at the graph where x = -3, y is -1

Step-by-step explanation:

Answer:

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Step-by-step explanation:

In order to calculate the probability that the next customer will request mid-grade gas and fill the tank we would have to make the following calculation:

probability that the next customer will request mid-grade gas and fill the tank= percentage of the people using mid-grade gas* percentage of the people using mid-grade gas that fill their tanks

probability that the next customer will request mid-grade gas and fill the tank=  30%*60%

probability that the next customer will request mid-grade gas and fill the tank= 0.1800

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Answer:

Right angle

Step-by-step explanation:

It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

Answer:

please l don't understand

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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A function that has a greater maximum include the following: A. Function 1 has a larger maximum at (4, 1).

In order to determine the maximum value of function 2, we would have to take the first derivative with respect to x and then, substitute this x-value into the original function while equating it to zero (0), and then evaluate as follows;

f(x) = −x² + 2x - 15

f(x) = −2x + 2

0 = −2x + 2

2x = 2

x = 2/2

x = 1

For the maximum value of function 2, we have:

f(1) = −(1)² + 2(1) - 15

f(1) = -14

For the maximum value of function 1, we can logically deduce that it is equal to 1 based on the graph in image attached above.

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Answer:

y = 3. last option is correct answer for 2nd question.

Step-by-step explanation:

f(x) just means y.

horizontal asymptote is y = 'something.'

the graph crosses y = 4, so y = 4 cannot be asymptote.

y = 3 is since the graph never quite touches it.

as for ∞, we see that as x approaches -∞, y almost reaches 3. but not quite. also, as x approaches +∞, y approaches +∞.

so the last option is the correct answer.

Answer:

557 feet

Explanation:

The straight lines drawn around the area form a right-triangle.

In the right-triangle, the distance from Pier 1 to Pier 2 is the Hypotenuse of the right-triangle.

Using Pythagoras Theorem

• Hypotenuse²=Opposite²+Adjacent²

Let the distance from pier 1 to pier 2=x

The approximate distance from pier 1 to pier 2 is 557 feet (correct to the nearest feet).

Answer:

\(Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved\)

Answer:

38.40

Step-by-step explanation:

If you multiply 1.60 by 24 it will get you 38.40

Answer:

15 bunches

Step-by-step explanation:

So if each bunch of lettuce costs $1.60, you can divide that by 24, which is the amount of money you have, to get 15 bunches.

\(\frac{1.60}{24}\) = 15

Answer:

Area is 195 in

Step-by-step explanation:

I did this assignment :D

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

More pencils than pens

Step-by-step explanation:

Step 1:

Write the expression

Step 2:

Solve each inequality

Next, solve the other inequality

Option A is the correct answer

Answer:

A.

Step-by-step explanation:

The person above me explains it :)

Answer:

81.64 Inches

Step-by-step explanation:

Given :

Diameter of wheel =26 inches

Radius of wheel (r)=26/2=13 inches

Circumference (C) of wheel can be calculated as :

C=  2πr

C=6.28(13)

C=81.64 Inches

The value of f(5) is 1981.

The operation on one or more previous elements according to a rule or formula comprising a finite number of steps to determine a succession of elements (such as numbers or functions).

The process of defining a problem (or the solution to a problem) oneself is referred to as recursion. For example, the operation "find your way home" can be defined as: If you are at home, stop moving. Take one step closer to home.

It seems there is a typo in the second equation provided. Assuming that it is meant to be f(n) = -5f(n-1) - 1, we can use recursion to find the value of f(5).

Starting with f(1) = 3, we can use the recursive formula to find f(2), then use the formula again to find f(3), and so on until we find f(5).

f(1) = 3

f(2) = -5f(1) - 1 = -5(3) - 1 = -16

f(3) = -5f(2) - 1 = -5(-16) - 1 = 79

f(4) = -5f(3) - 1 = -5(79) - 1 = -396

f(5) = -5f(4) - 1 = -5(-396) - 1 = 1981

Therefore, the value of f(5) is 1981.

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The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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Answer: \(-\frac{3}{5}\)

Step-by-step explanation:

Since x is 3 and y is -5

Answer:

d

Step-by-step explanation: