Answer:
64° (b)
Step-by-step explanation:
180°-116°=64°
I think
answer plzes.............
Answer:
2800
Step-by-step explanation:
Answer:
The answer is 323.4
last question...this is geometry. 15 points to whoever gets it right and can explain
how many feet of granite was tunneled through to make tunnel no. 6 through the sierra nevada mountains?
Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.
Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.
When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.
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at a large airport, data were recorded for on emonth on how mayn baggage items were unloaded on each flight upon arrival as well as the time to deliver all the baggage items on the fligh tto the baggage claim area
The correct option is (B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model.
What is least-square model (regression line)?In order to find the line that is most suitable for a set of data, the least squares method is a type of mathematical regression analysis. It offers a visual representation of the relationship between both the data points.
Some characteristics of least square model are-
The correlation between a recognized independent variable but also an unknowable dependent variable is represented by each data point.By reducing the total of the offsets and residuals of spots from either the plotted curve, the least squares approach is a statistical technique for identifying the best estimate for a group of data points.In order to forecast the evolution of dependent variables, least squares is employed.The location of such line of best fit amongst some of the data points under study is explained generally by the least squares method.To know more about least square model/ regression line, here
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The complete question is-
At a large airport, data were recorded for one month on how many baggage items were unloaded from each flight upon arrival as well as the time required to deliver all the baggage items on the flight to the baggage claim area scatter plot of the two variables indicated a Strong; positive linear association between the variables_ Which of the following statements is a correct interpretation of the word ~strong in the description of the association?
(A) least-squares model predicts that the more baggage items that are unloaded from a flight; the greater the time required to deliver the items to the baggage claim area
(B) The actual time required to deliver all the items to the baggage claim area based on the number of items unloaded will be very close to the time predicted by a least-squares model .
(C) The time required to deliver an item to the baggage claim area is relatively constant; regardless of the number of baggage items unloaded from a flight,
(D) The variability in the time required to deliver all items to the baggage claim area is about the same for all flights, regardless of the number of items unloaded from flight
(E) The time required to unload baggage items from a flight is related to the time required to deliver the items to the baggage claim area.
Molly and Torry like to eat ice cream sandwiches. In one week Molly ate five ice cream sandwiches and Torry ate n ice cream sandwiches. they ate a total of 12 ice cream sandwiches together, right equation describe a situation how many ice cream sandwiches did Torry eat?
\(5 + n = 12 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)
What is the measure of angle x?
Enter your answer in the box
Answer:
x = 83°Step-by-step explanation:
There are 6 angles, 3 pairs of vertical angles that sum to 360°.
Set below equation and solve for x:
2(41° + 56° + x) = 360°97° + x = 180°x = 180° - 97°x = 83°Opposite angles are equal and linear pairs are supplementary
x+56+41=180x+97=180x=180-97x=83°Problem. 7: A baseball diamond is a square whose sides are 90 feet long. Suppose a player running from second base to third base has a speed of 30 feet per
second at the instant he is 20 feet from third base. At what rate is the player's distance from home plate changing at that instant?
? feet per second
The player's distance from home plate changing at that instant is 37.42 feet per second.
What is Velocity?The distance covered by an object in unit time.
First, let's define a few variables.
t = time
x = Distance the player is from third base = 20 feet
dx/dt = Velocity the player is running towards third base = -30 fps
y = Distance between the player and home plate
dy/dt = Rate of change between the player's distance from home plate (This is the answer to our problem)
By Pythagorean theorem
y² = x² + 90²...(*)
Put x = 20
y² = 20² + 90²
y = 92.2 feet
Apply differentiation to (*)
2ydy/dt = 2xdx/dt + 90²
And let's plug in x, y, and dx/dt to solve for dy/dt.
2(92.2)dy/dt = 2×20×-30 + 90²
dy/dt = 37.42 feet per second
Hence 37.42 feet per second is the player's distance from home plate changing at that instant
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The MD has placed an order for 15mg of albuterol and 0.5mg of atrovent to be given over one hour. The nebulizer you use has an output of 10ml oer hour when running at 4lmp. How much saline would you need to add to your medication to make it last the full hour?
The volume of the medication required, we subtract it from the nebulizer output to find the amount of saline needed.
To determine the amount of saline needed to make the medication last the full hour, we need to calculate the total volume of medication required and subtract it from the volume delivered by the nebulizer.
Given:
- Albuterol dose: 15 mg
- Atrovent dose: 0.5 mg
- Nebulizer output: 10 mL per hour
- Nebulizer flow rate: 4 LPM (liters per minute)
First, we need to convert the nebulizer flow rate to mL per hour:
4 LPM * 60 min = 240 mL per hour
Next, we calculate the total volume of medication required by adding the doses of albuterol and Atrovent:
Total medication volume = 15 mg + 0.5 mg
Now, we need to convert the total medication volume from milligrams to milliliters. To do this, we need to know the concentration of the medication (mg/mL) or the volume of the medication that corresponds to the given dose. Without this information, we cannot convert the dose to volume accurately.
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the starting value of an algorithm used to generate a range of numbers is called the _________.
The starting value of an algorithm used to generate a range of numbers is called the Seed where the range is 100 .
What is Range?Range: the difference between the highest and lowest value. Find the highest observed value of the variable and subtract the lowest observed value to get the range. The range only takes into account these two values; the data points in the middle of the distribution are not taken into account. There is a range of values between the lowest and highest. The range is composed of values at either end. As an illustration, the data set 4, 6, 10, 15, 18, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The term "seed" refers to the initial value of an algorithm used to produce a set of integers.
20, 25, 30, 45, 55, 90, 110,115,120
Range = 120 - 20 = 100
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The cylinder shown has a diameter of 20 in. and a height of 4 in.
20 in.
Use 3.14 for T.
What is the approximate volume of the cylinder?
OA. 251.2 in.3
OB. 502.4 in.³
OC. 879.2 in.3
OD. 1,256 in.3
OE. 5,024 in.3
4 in.
Answer:
1256 in.3
Step-by-step explanation:
V = pi x r^2 x h
V = 3.14 x 20/2 x 4
V = 3.14 x 10 x 4
V = 1256in^3
Answer:
1256 in³
Step-by-step explanation:
To calculate volume of a cylinder the formula is: π · r2 · h
Since Pi is already given to us as 3.14, we now have to find the radius
The radius is always the diameter cut in half meaning it will be 20/2 which gives us 10 (radius is figured)
The height is given to us as 4 meaning the equation will be
3.14 x 10 x 10(seeing as it's radius squared) x 4
10x10 = 100
100 x 4 = 400
400 x 3.14 = 1256
The answer is in cubed(³) because it is volume
Which of the following image holds the definition of glide reflection?
Answer:
A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.
What's the difference between reflection and glide reflection?
A reflection is a single action, such as the reflection across y = x in the blue pre-image and the black dotted-line picture below.
A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.
In such situation, the blue pre-image is reflected across y = x and then translated by a factor of two to form the green picture.
The figure appears to be moving along the line after several repetitions.
A sine wave resembles the sine from zero to pi that has been repeatedly translated from "pi, 0" across the x-axis.
See the attachment. (Pre-image in blue Dots indicate reflection. Glider reflection picture is green.)
Cheers,
ROR
Answer:
A glide reflection is a two-step procedure in which the translation normally occurs along the line of reflection after the reflection.
Step-by-step explanation:
a bag contains 20 marbles: 5 red, 5 blue, and 10 yellow what is the possibillity that a red is randomly selected
Answer:
25% or 1/4 chance.
Step-by-step explanation:
The red makes up 5 out of the 20 marbles in the bag, which translates to 1/4 or 25% chance or being picked.
Good luck! Hope this helped!
Answer:
25% chance or 1/4 or 5/20
Step-by-step explanation:
All of these provided answers are the same. Since there is 20 marbles and 5 are red you just do 5/20!
NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6
The r/3 is not division.. its a fraction. thx
Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much
Answer:
\(r\geq -18\)
Step-by-step explanation:
\(\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}\)
Hope this helps!
Which of the following measurements could
represent the side lengths of a triangle?
A. 4 inches, 14 inches, 18 inches
B. 27 inches, 39 inches, 12 inches
C. 8 inches, 8 inches, 20 inches
D. 44 inches, 32 inches, 13 inches
Answer:
Below
Step-by-step explanation:
Use triangle side length rule : any two sides must sum to greater than the remaining side
A nope.... 4 + 14 is not GREATER than 18
B nope 27 + 39 in not greater than 39
C nope 8 + 8 is not greater than 20
D Yes 13 + 32 > 44 and 13+44>32 and 44+ 32 > 13
Find the value of X a,57
b,3
C,81
D,27
Answer:
D. 27
Step-by-step explanation:
sum of exterior angles = 360
2x + 56 + 57 + 85 + 4x = 360
6x + 198 = 360
6× = 360 - 198
6× = 162
× = 27
I NEED HELL LIKE RIGHT NOW !!!
Which equation represents the graph?
Answer:
ummm im pretty sure its d
Step-by-step explanation:
Answer:
im pretty sure its last option y=2x
Step-by-step explanation:
on the graph it touches all even numbers
Characterize the slope of the line in the graph.
© A. Negative
B. Zero
O O O O
C. Undefined
D. Positive
A.Negativ
#Keep on learning#Study hardExpress in simplest form: 12 (2 + ) − (4 + )
Answer:
20
Step-by-step explanation:
12 (2 + ) − (4 + )
24-4
=20
Answer:
20
Step-by-step explanation:
An analyst surveyed the movie preferences of moviegoers of different ages. Here are the results about movie preference, collected from a random sample of 400 moviegoers.
Suppose we randomly select one of these survey participants.
Let C be the event that the participant is an adult.
Let D be the event that the participant prefers comedies.
Enter the exact values for the probabilities.
Find P(C) = ?
Find P(D) = ?
ANSWERS ARE 0.3575 AND 0.405
Based on the survey results, the probability that a randomly selected participant is an adult (event C) is 0.3575, while the probability that the participant prefers comedies (event D) is 0.405.
To find the probability of event C, we divide the number of adults by the total number of participants in the survey. Since the sample size is 400, let's say the number of adults in the survey is A. The probability of event C can be calculated as P(C) = A/400. However, the exact number of adults is not given in the question, so we cannot determine the exact value.
Similarly, to find the probability of event D, we divide the number of participants who prefer comedies by the total number of participants in the survey. Let's assume the number of participants who prefer comedies is D. The probability of event D can be calculated as P(D) = D/400. Again, the exact value of D is not provided, so we cannot determine the exact probability.
In summary, without knowing the exact number of adults and participants who prefer comedies, we cannot calculate the precise probabilities. However, the values provided in the question for P(C) = 0.3575 and P(D) = 0.405 are assumed to be the correct probabilities based on the given survey results.
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Can ! tutor give me fraction equations I want to practice fractions. :)
Let's solve the following equation
\(\frac{2x}{8}-\frac{3x}{4}=\frac{1}{2}\)First, we find the least common factor between the denominators.
8 4 | 2
4 2 | 2
2 1 | 2
1
So, the least common factor would be the product 2x2x2 = 8.
Now, we use the least common factor to subtract the fractions, where the new denominator is 8.
\(\frac{2x-6x}{8}=\frac{1}{2}\)Then, we solve for x
\(\begin{gathered} -\frac{4x}{8}=\frac{1}{2} \\ -4x=\frac{1}{2}\cdot8 \\ -4x=4 \\ x=\frac{4}{-4} \\ x=-1 \end{gathered}\)Hence, the solution to this equation would be x = -1.a spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm. what is the possible change in volume? use differential to estimate the error when computing the volume.
The possible change in volume (in mm3) resulting from the error in measuring the radius is 32. 06 mm³
Given,
A spherical golf ball is measured to have a radius of $$5 mm, with a possible measurement error of $$0.1 mm
How to determine the volume
The formula for volume of a sphere is expressed by;
Volume = 4/3 πr³
Where;
r is the radius of the sphere
pi takes the value 3.14
From the information given, we have that the measured radius is 5 mm, with a possible measurement error of 0.1 mm
Then, radius a = 5mm
Radius b = 5 + 0. 1 = 5. 01mm
Now, substitute the values into the formula
Volume, v = 4/ 3 (3.14)(5)³
v = 4/ 3 (392.5)
v = 523. 3 mm³
For radius of 5.01mm
Volume = 4/ 3 (3.14)(5.1)³
expand the bracket
Volume = 4/3 (416.52)
Volume = 555. 4 mm³
The change in volume = 555. 4 - 523. 3 = 32. 06 mm³
Hence, the change in volume is 32. 06 mm³
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Jordan borrowed some money from his friend in order to help buy a new video game
system and agreed to pay the friend back a constant amount each week. Jordan
originally borrowed $120 from his friend and after 2 weeks, he still owed his friend
$90. Write an equation for L, in terms of t, representing the amount Jordan owes
his friend after t weeks.
Answer:
l=-15t+120
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total amount borrowed = $120
Amount left to pay after 2 weeks = $90
This means,
In 2 weeks the amount paid.
= 120 = 90
= $30
The amount paid per week is constant.
2 week = $30
Divide both sides by 2.
1 week = $15
Now,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
Thus,
The equation represents representing the amount L owed after t weeks.
L = 120 - 15t
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The population P of a small town, measured in hundreds, is modeled by the inverse of the function P−1(t) = 20ln(40t − 1200), where t is measured in years. Find the equation to model the population.
P = 2t + 60
P equals 1 over 40 times e to the power of the quantity five hundredths times t end quantity plus 30 where P 0 equals 30
P equals 1 over 40 times ln of the quantity five hundredths times t end quantity plus 30 where P 0 equals 30
P equals 1 over 800 times e to the power of t plus 30 where P 0 equals 30
The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.An equation is a formula that expresses the equality of two expressions.Here the population P of a small town, measured in hundreds, is modeled by the inverse of the function,P−1(t) = 20ln(40t − 1200)
where t is measured in years.
We need to find an equation to model the population.
let y = \(p^{-1}\)(t)
where t is measured in years.
We need to find an equation to model the population.
20\(ln\)(40y - 1200) = t
\(ln\)(40y - 1200) = t/20
\(e^{ln(40y - 1200)}\) = \(e^{0.05t}\)
(40y - 1200) = \(e^{0.05t}\)
40y = \(e^{0.05t}\) + 1200
y = \(\frac{1}{40}\) \(e^{0.05t}\) + 30
Now, we determine the initial value.
P(0) = \(\frac{1}{40}\) + 30
P(0) = 30
The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30
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(5-2)×2+[-4+(-7)]÷(-2+4)
The answer is
0.5Subtract 2 from 5 to get 3.
3x2=6
subtract 7 from -4 to get -11
Add -2 and 4 to get 2.
Fraction
2 /−11can be rewritten as −
2 /11by extracting the negative sign.
Convert 6 to fraction 12/2
Since the 2 fractions have the same denominator, subtract them by subtracting their numerators.
1/2= 0.5 (decimal form)
For a continuous random variable X, P(28 ≤ X ≤ 75) = 0.15 and P(X > 75) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)
a. P(X < 75) b. P(X < 28) c. P(X = 75)
The required probabilities are
a. P(X < 75) = 0.29, b. P(X < 28) = 0, and c. P(X = 75) = 0
Continuous Probability Distributions:A continuous probability distribution is a type of probability distribution that describes the probabilities of all possible values that a continuous random variable can take within a specific range.
In contrast to discrete probability distributions, which describe the probabilities of discrete outcomes, continuous probability distributions describe the probabilities of continuous outcomes.
Here we have
For a continuous random variable X,
P(28 ≤ X ≤ 75) = 0.15 and P(X > 75) = 0.14
Given probabilities can be calculated as follows
a. P(X < 75)
P(X < 75) = P(X ≤ 75) - P(X = 75)
= 0.15 + 0.14
= 0.29
b. P(X < 28)
P(X < 28) = P(X ≤ 28) = 0,
[ since X cannot be less than 28 if P(28 ≤ X ≤ 75) = 0.15 ]
c. P(X = 75)
P(X = 75) = P(X ≤ 75) - P(X < 75)
= 0.15 - 0.29
= -0.14.
However, this is not a valid probability since probabilities cannot be negative.
Therefore, P(X = 75) = 0.
Therefore,
The required probabilities are
a. P(X < 75) = 0.29, b. P(X < 28) = 0, and c. P(X = 75) = 0
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The value of x + y is negative, and X is a
positive integer. What must be true about
y? Explain.
HELP FAST!!!
Answer:
'y' must be at least one more than 'x'
Step-by-step explanation:
example: let 'x' equal 4
in order for '4 - y' to be less than zero (a negative value) then the value of 'y' must 5 or less
4 - 5 = -1
Answer:
Y is a negative number that has a value greater than the opposite of X
Step-by-step explanation:
estimating e^1.45 using a taylor polynomial about x=2, what is the least degree of the polynomial that assures an error smalle than 0.001
Answer:
The least degree of the polynomial that assures an error smaller than 0.001 is 4.
The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:
```
|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}
```
where T_n(x) is the Taylor polynomial of degree n centered at x=2.
We want the error to be less than 0.001, so we have:
```
\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001
```
We can solve for n to get:
```
n+1 > \frac{e^2 \cdot 1000}{|x-2|}
```
We know that |x-2| = 0.45, so we have:
```
n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900
```
Therefore, n > 6899.
The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.
The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:
```
T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}
```
We can use this polynomial to estimate e^1.45 as follows:
```
e^1.45 \approx T_4(1.45) = 4.38201
```
The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.
Step-by-step explanation:
1) Raspberries are growing quickly in a garden. Every
Monday Zoe picks 32 raspberries. During the week the
number of remaining raspberries doubles before she picks
another 32. After Zoe picks raspberries on a Monday for
the 6th time, there are none left. How many raspberries were
there at the start?
Answer:
52
Step-by-step explanation:
How can you use what you know about 5(2) to find 5(-2)?
Please help
Answer:
-10
Step-by-step explanation:
5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)
It took 4 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles? A.60 hours B.6 hours C.2 2/3 hours D. 1 1/2 hours
Answer:
D. 1 1/2 hours
Step-by-step explanation:
First, we need to find the unit rate to then multiply it by 90. to find the unit rate I did 240 miles divided by 4 hours to get 60 miles per hour. So we know we need at least 1 hour to get the 60 miles and to get 90 miles we need to add 30. Since 30 is half of 60 we can just take half of 1 hour which is 30 minutes. we add it together and get 1 hour and 30 minutes, or 1 hour and a half.
Time taken to cover 90 miles is 1.5 hours
Given that;Time taken to cover 240 miles = 4 hours
Find:Time taken to cover 90 miles
Computation:Time taken to cover 90 miles = [90 / 240]4
Time taken to cover 90 miles = [360 / 240]
Time taken to cover 90 miles = 1.5 hours
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