Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
44+4=48
yeah basic answer
Jesse ran 250 kilometers last week. How many meters did Jesse run?
Answer:
250,000 Meters
Step-by-step explanation:
1 Km = 1000 meters
250x1000= 250,000 meters
Explain how you know 1 5/8 is a little grater than 1 1/2
Step-by-step explanation:
To find out that 1 5/8 is greater than 1 1/2, find common denominators.
Multiply 1/2 by 4:
4/8.
Let's compare:
1 5/8 > 1 4/8.
This is because 5 > 4.
Your answer: One numerator is smaller than the other, therefore making 1 5/8 greater.
Which equation represents the line through (4, 5) and (0, 3)?
Answer:
I dont know what options you have but all these are possible answers
y - 5 = 1/2 ( x - 4 )
y - 3 = 1/2 x
y = 1/2 x + 3
Step-by-step explanation:
In order to find the equation you need a slope, so you find the slope of both points by using the slope equstion
y2 - y1 / x2 - x1
and you would get :
\(\frac{1}{2}\)
now you plug it into the point slope formula which is y - y = m ( x - x )
and you choose one of the two sets of points that they provided in the question but you'll get the same answer either way.
Timmy has forty-five cents in his pocket. How many different ways can he have forty-five cents in change using only quarters, dimes, and nickels?
Answer:
Hi,
number of ways: 8
Step-by-step explanation:
\(\begin{array}{|c|c|c|}Quater&dime&nickel\\------&---&---\\0&0&9\\0&1&7\\0&2&5\\0&3&3\\0&4&1\\1&0&4\\1&1&2\\1&2&0\\------&---&---\\\end{array}\)
There are 1,500 trees in a forest, of which 300 are oak trees. What percent, p, of the trees are oak trees? Complete the statement
Answer:
20 percent
Step-by-step explanation:
There are 20 percent of the trees in the forest are the Oak trees.
The percentage of oak trees, p , in the forest can be calculated using the following formula:
p = Number of oak trees/ Total number of trees x 100
Given that there are 300 oak trees out of a total of 1,500 trees in the forest.
Plugging these values into the formula:
p = (300)/ (1500) x 100
= 1/5 x 100
= 100/5
= 20
So, 20% of the trees in the forest are oak trees.
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All of the answers in the picture. With work please.
Given that:
1. The brown family paid $170 for 3 children and 2 adults
2. The Rodriguez family paid $360 for 4 children and 6 adults
a. if x is the price of a child's ticket and y is the price of an adult's ticket, then the system of equations that models the situation would be:
\(\begin{gathered} 3x+2y=170\ldots\ldots\text{.}(1) \\ 4x+6y=360\ldots\ldots\text{.}(2) \end{gathered}\)Note that:
Equation (1) and (2) are the model equations for the Brown family and Rodriguez family respectively
b.
Note that, the red and blue line represents the first and second model equations respectively
c. The coordinates of the point intersection is:
\((x,y)=(30,40)\)d.
The coordinate of the point of intersection (30, 40) means that the price of a child's ticket for the Brown and Rodriguez family is $30, and the cost of an adult's ticket for the Brown and Rodriguez family is $40
HELP ASAP !!!!
Write and graph linear equations
Answer:
first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1
Step-by-step explanation:
Trigonometry Question
5/ 10 of the students in Sam’s class are girls. Of the girls, 1 /5of them wear glasses. What fraction of all the students wear glasses and are girls?
Can you explain the multicaion?
Answer:
1/10
Step-by-step explanation:
The fraction 5/10 is equal to 1/2 and 1/5 of the girls wears glasses so if you multiply 1/2 and 1/5 you get 1/10.
\(\frac{1}{5}\)·\(\frac{1}{2}\)= \(\frac{1}{10}\)
When multiplying fractions you multiply across so the numerators are multiplied together and the denominators are multiplied together.
pls help it for math
Complete the table of values for each given function rule
Step-by-step explanation:
f(0) is 4.
f(3) is 2
f(6) is 0
f(9) is -2
f(12) is -4
if u need a step by step msg me
Consider the following 8 numbers, where one labelled x is unknown. 14, 22, 34, x , 34, 46, 21, 38 Given that the range of the numbers is 66, work out 2 values of x .
Answer:
x=-20 or x=80
Step-by-step explanation:
you can either make it so 46 remains the largest number and so take 66 from 46 (=-20) or you can leave 14 as the smallest number and add 66 to 14(=80)
14th term of geometric sequence 10,20,40
An experimenter would like to construct a 99% confidence interval with a width at most 0. 5 for the average resistance of a segment of copper cable of a certain length. If the experimenter knows that the standard deviation of such resistances is 1. 55. How big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?.
A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.
In the given question,
The confidence level = 99%
Given width = 0.5
Standard deviation of resistance(\sigma)= 1.55
We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.
The formula to find the a big sample that should the experimenter take from the population is
Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)
So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)
where n=sample size
We firstly find the value of ME and \(z_{\alpha /2}\).
Firstly finding the value of ME.
ME=Width/2
ME=0.5/2
ME=0.25
Now finding the value of \(z_{\alpha /2}\).
Te given interval is 99%=99/100=0.99
The value of \(\alpha\) =1−0.99
The value of \(\alpha\) =0.01
Then the value of \(\alpha /2\) = 0.01/2 = 0.005
From the standard table of z
\(z_{0.005}\) =2.58
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{1.55}{0.25})^2\)
Simplifying
n=(3.999/0.25)^2
n=(15.996)^2
n=255.87
n≈256
Hence, the sample that the experimenter take from the population is 256.
Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.
The new values,
Standard deviation of resistance(\(\sigma\))= 2×1.55
Standard deviation of resistance(\(\sigma\))= 3.1
width = 2×0.5
width = 1
Now the value of ME.
ME=1/2
ME=0.5
The z value is remain same.
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{3.1}{0.5})^2\)
Simplifying
n=(7.998/0.5\()^2\)
n=(15.996\()^2\)
n=255.87
n≈256
Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.
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Please help me with this homework
Answer: 12 units
Step-by-step explanation:
The piston stroke depend on * offset
crank angle
B crank radius the crank angle value when the piston at TDC is...... 120 30 0*2pi B the maximum ratio of crank radius to connected length is *
4
0.25-0.3 0.25 0.3
The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.
The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.
Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.
It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.
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Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closetsto the number of liters of gasoline Chris bought? A 11.44 L B 2.74 L C 47.12 L D 14.20 L2
Answer:
C 47.12 L
Step-by-step explanation:
1 gallon = 3.8 liters
12.4 gallons = x
Cross Multiply
= 12.4 × 3.8
47.12 liters
Option C is correct
Which algebraic expression represents this mathematical statement?
65 less than a number
A. n + 65
B. 65 n
C. n - 65
D. 65-n
Giving brainliest
Answer:
C
Step-by-step explanation:
I'm back!!!
Translating algebraic language into normal language is always difficult to explain, but I'll try my best.
If I told you, "What is 65 less than 100", You would probably say 35. If I say, "I make 65 dollars less than you" Then we're taking your salary and decreasing it by 65 to find my salary. So we do take your salary/100 (n) and decrease it by my salary/65, and the operation for that is subtraction, so you would do n-65, and that difference will be 65 LESS than n.
Let me know if you have any questions
when you use the 3 second following distance at rural road speeds (55 mph), compared to city driving speeds (25 mph), the distance you travel per second is
To find the distance traveled per second, we can use the formula:
Distance = Speed * Time
For rural road speeds of 55 mph, we need to convert the speed to miles per second.
Since there are 60 minutes in an hour and 60 seconds in a minute, we have:
Speed = 55 miles/hour * (1 hour / 60 minutes) * (1 minute / 60 seconds)
= 55 / (60 * 60) miles/second
≈ 0.01528 miles/second
So, at rural road speeds of 55 mph, you would travel approximately 0.01528 miles per second.
Now let's calculate the distance traveled per second at city driving speeds of 25 mph:
Speed = 25 miles/hour * (1 hour / 60 minutes) * (1 minute / 60 seconds)
= 25 / (60 * 60) miles/second
≈ 0.00694 miles/second
Therefore, at city driving speeds of 25 mph, you would travel approximately 0.00694 miles per second.
In summary, when using a 3-second following distance, you would travel approximately 0.01528 miles per second on rural roads (55 mph) and approximately 0.00694 miles per second in city driving (25 mph).
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Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?
Answer:
5 letters
Step-by-step explanation:
Let x = the number of letters engraved.
For the first store, the cost can be written as (18.50 + 0.15x).
For the second store, the cost can be written as (18 + 0.25x).
For the cost and value of x to be the same, let them equal eachother and evaluate x:
18.5 + 0.15x = 18 + 0.25
0.1x = 0.5
∴x=5
Correct I’ll give brainlist no links or I’ll report
Answer:
y = 8x - 64
Step-by-step explanation:
Start with y = mx + b, the slope-intercept equation. Replace m with 8, x with 7 and y with -8:
-8 = 8(7) + b, or
-8 - 56 + b, or
b = -64
Then the desired equation is
y = 8x - 64
the gpa of accounting students in a university is known to be normally distributed. a random sample of 21 accounting students results in a mean of 2.88 and a standard deviation of 0.16. construct the 90% confidence interval for the mean gpa of all accounting students at this university.
We can say with 90% confidence that the true mean GPA of all accounting students at this university lies between 2.7107 and 3.0493.
We are given:
Sample size n = 21
Sample mean X = 2.88
Sample standard deviation s = 0.16
Confidence level = 90% or α = 0.10 (since α = 1 - confidence level)
Since the sample size is small and population standard deviation is unknown, we will use a t-distribution to construct the confidence interval.
The formula for the confidence interval is given by:
X ± t(α/2, n-1) * s/√n
where t(α/2, n-1) is the t-score with (n-1) degrees of freedom, corresponding to the upper α/2 percentage point of the t-distribution.
Using a t-table with (n-1) = 20 degrees of freedom and α/2 = 0.05, we find the t-score to be 1.725.
Plugging in the values, we get:
2.88 ± 1.725 * 0.16/√21
= (2.7107, 3.0493)
Therefore, we can say with 90% confidence that the true mean GPA of all accounting students at this university lies between 2.7107 and 3.0493.
Note: The confidence interval can also be written as [2.71, 3.05] rounding to two decimal places.
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Emmitt runs 5 miles in 40 minutes. How long does it take to run per mile?
Answer:
08 : 00
min : sec
8 minutes each mile
Answer:
0.125 is your answer
Step-by-step explanation:
5/40 = 0.125
Need help cant find the right answer for this one
Step-by-step explanation:
the answer is a
hope it help....
Harlan is building a fence. After he sets the corner post, he uses 2 eight-foot posts, 4 braces, and 48 feet of paneling for every 12 feet of fence. Harlan needs to build 60 feet of fence today and he has 208 feet of paneling. How many more feet of paneling does he need?
HELP
2/3 of the students in Lindsey's class are girls. Of the girls, 1/2 of them play a musical Instrument. What fraction of the
students play a musical Instrument? Choose the model that matches the situation.
Answer:
2/6 so the last box
Step-by-step explanation:
2/3 divided into 2 pieces equals 2/6 because thirds are two times the size as sixths.
Answer:
The last box
Step-by-step explanation:
A newspaper poll states that 60% of the people in Rottsburg have a pet dog. If there are 2.5 million
residents in Rottsburg, how many people have pet dogs
Answer:
1.5 million
Step-by-step explanation:
To find this you need to find 60% of the 2.5 million people. To do this, multiply 2.5 million by .6, which is 60% in decimal form, and then you'd get 1.5 million.
MC) Determine the surface area of the cylinder. (Use π = 3.14) net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches
Pls help it’s for 20 point pls
The surface area of the cylinder is 314.6 square inches.
The surface area of a cylinder is given by the formula:
S.A. = 2πrh + 2πr²
Where r is the radius of the circular base of the cylinder and h is the height of the cylinder.
If we know the radius and height of a cylinder, we can easily calculate its surface area.
To solve for the surface area of the cylinder whose radius is 5 inches, we use the formula and substitute the values. The net of a cylinder whose radius of the base is labeled 5 inches and a rectangle with a height labeled 4 inches is given below:
Given the radius, r = 5 inches, height of cylinder, h = 4 inches.
Substituting the values in the formula:
S.A. = 2πrh + 2πr²
= 2 × 3.14 × 5 × 4 + 2 × 3.14 × 5²
= 157.6 + 157
= 314.6 square inches
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Find the Taylor polynomial T3(x) for the function f(x) = ex sinx at a = 0. Use T3(x) obtained in part (A) to evaluate lim( e^x sinx?x?x^2) / x^3
To find the Taylor polynomial T3(x) for the function f(x) = ex sinx at a = 0, we can use the Taylor series expansion. The Taylor polynomial of degree 3 is given by:
\(T3(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3\)
First, let's find the derivatives of f(x):
f(x) = ex sinx
f'(x) = ex cosx + ex sinx
f''(x) = 2ex cosx
f'''(x) = 2ex cosx - 2ex sinx
Evaluate the derivatives at x = 0:
\(f(0) = e^0 sin(0) = 0\\f'(0) = e^0 cos(0) + e^0 sin(0) = 1\\f''(0) = 2e^0 cos(0) = 2\\f'''(0) = 2e^0 cos(0) - 2e^0 sin(0) = 2\)
Now, substitute these values into the Taylor polynomial formula:
\(T3(x) = 0 + 1x + (2/2!)x^2 + (2/3!)x^3\)
Simplifying:
\(T3(x) = x + x^2 + (1/3)x^3\)
Now, let's evaluate the limit:
\(lim(x- > 0) (e^x sinx / x^3)\)
We can use the Taylor polynomial T3(x) to approximate the function \(e^x sinx\) as x approaches 0.
The term \(e^x sinx\) can be approximated as x when x is close to 0. Thus, as x approaches 0, the limit becomes:
\(lim(x- > 0) (x / x^3) = lim(x- > 0) (1 / x^2)\)
However, the limit of \(1 / x^2\)as x approaches 0 is infinity.
Therefore, the limit is infinity.
Please note that this is an approximation using the Taylor polynomial, and the actual behavior of the function may differ.
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Use the Direct Comparison Test to determine the convergence or divergence of the series. [infinity]
∑ 8^n/9^n + 7
n=0
8^n / 9^n+7 _____
O converges O diverges
The given series can be analyzed using the Direct Comparison Test to determine its convergence or divergence. By comparing it with a geometric series, we can conclude that the given series converges.
To apply the Direct Comparison Test, we need to compare the given series with a known series whose convergence or divergence is already established. In this case, let's compare the given series ∑ (8^n / (9^n + 7)) with a geometric series ∑ (8^n / 9^n).
For all n ≥ 0, we have (8^n / (9^n + 7)) ≤ (8^n / 9^n). This is because adding a positive constant (7) to the denominator increases its value, making the fraction smaller.
Now, let's consider the geometric series ∑ (8^n / 9^n). This series is a convergent geometric series with a common ratio of 8/9 (which is less than 1), so it converges.
Since (8^n / (9^n + 7)) ≤ (8^n / 9^n) and the geometric series ∑ (8^n / 9^n) converges, by the Direct Comparison Test, we can conclude that the given series ∑ (8^n / (9^n + 7)) also converges.
In summary, the series ∑ (8^n / (9^n + 7)) converges.
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