Answer:
its 2x^4+9x^3+3x^2+12x_2.
Ryan is a runner. He can run 100 meters in 13 seconds. He
frequently races against Juan, who can run at a speed of 15
miles per hour. Which runner is faster? (1 mile = 1609.34
meters)
Answer:
Ryan: (100/13)(1/1,609.34)(3,600) =
17.21 miles per hour
Ryan is faster than Juan, by about 2.21 miles per hour
Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7
Someone please help me with this :3
Answer:
2
Step-by-step explanation:
\(\dfrac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\cdot \frac{3}{1}=\frac{6}{3}=2\). Hope this helps!
Answer:
2/3 divided by 1/3
Multiply the reciprical
2/3 x 3/1 = 6/3
6/3=2
2 is your answer
Step-by-step explanation:
Amy is single with a salary of $50,000. She has been offered a new position that will raise her salary to $53,000.
The cut-off between the 18% and 25% tax brackets is $51,250. How much will her tax liability increase if she accepts the new position?
AP STATISTICS MATH
(Image above) PLEASE HELP THANK YOU (brainlist answer)
The probabilities are given as follows:
3. P(rides bus|owns a car) = 1/3.
4. P(red|organic) = 3/5.
How to calculate a probability?The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
For item 3, the outcomes are given as follows:
Desired outcomes: rides bus and owns a car -> 8 people.Total outcomes: owns a car -> 24 people.Hence the probability is:
P(rides bus|owns a car) = 8/24 = 1/3.
For item 4, the outcomes are given as follows:
Desired outcomes: red and organic -> 18%Total outcomes: organic -> 30%.The error was in identifying the total outcomes, and the probability is:
P(red|organic) = 18/30 = 3/5.
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Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
f(x)=x^2-12x+20
a. f(0) = ?
b. f(2) = ?
c. f(x) = 0,x = ?
d. f(x)= 9,x = ?
Answer:
c . f(x)=0,x=????????????
4.) Mrs. Jeeves' 4th grade class is collecting
money for an animal shelter. Their lemonade
stand made $315. They worked a total of 6
hours. How much did they earn per hour of
their service?
This is forth grade math I need help please someone help.
Answer:
Mrs. Jeeve's 4th grade class earned $52.5 per hour with their lemonade stand.
Step-by-step explanation:
$315/6= $52.5
xoxo, your highness...Solve the problems.
The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?
Answer:
B is greater than A by 1/4 of A
Step-by-step explanation:
Let's use the information given in the problem to write expressions for the values of a and b:
a = b - (1/5)b = (4/5)b
b is greater than a by the difference:
b - a = b - (4/5)b = (1/5)b
To express this difference as a fraction of a, we divide by a:
(b - a)/a = ((1/5)b)/((4/5)b) = 1/4
Therefore, b is greater than a by 1/4 of a.
Find the mean of the data set:
87,79,92,71,88,70,91,82,85
Round your answer to the nearest tenth.
Provide your answer below:
The mean of the data set is 82.77
How to calculate the mean of the data set?If we want to find the mean, we would have to put it at the back of our minds that the mean is the same as the average. As such, we would have to take the sum of all the values that have been listed in the data set and divide by the total number of the data.
The first step is to arrange the data set orderly from smallest to largest;
70, 71,79, 82,88,85,87,91,92
We have nine values in the data set thus the mean is;
70+71+79+82+88+85+87+91+92/9= 745/9= 82.77
Hence the mean of the data set is 82.77
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What is 5.269 written as a mixed number
Find the surface area of the prism.
Answer:
The answer is 1584.
Step-by-step explanation:
11 x 8 x 18 =1584
11 x 8 = 88
88 x 18 = 1584
Hope this helps!
I need help... on this question.
Answer:
Step-by-step explanation:
A+B= we will add both expressions
A+B=3x^4+2x^2-2x+1-2x^3+4x^2-3 we will add like terms
A+B= 3x^4-2x^3+6x^2-2x-2
A-B=3x^4+2x^2-2x+1-(-2x^3+4x^2-3)
A-B=3x^4+2x^2-2x+1+2x^3-4x^2+3
A-B=3x^4+2x^3-2x^2-2x+4
PLEASE NO LINKS I REALLY NEED HELP
Submit your answers to the following questions. Be sure to explain your reasoning for each; it is helpful to draw this out to get started to see any quantitative patterns that develop.
If you write the counting numbers in rows of 7 numbers each, like shown below (but you keep going), where all the number line up in seven vertical columns as you go. (Note in the example below, the number 13 is in the 2nd row and the 6th column.)
1 2 3 4 5 6 7
8 9 10 11 12 13 14
15 16 17 18 19 20 21
In which column would the number 100 land?
In which row?
Now write the counting numbers in rows of 6 numbers each. What’s the location of 100 in this array?
Write arrays with other length rows. Find a way to predict in which row and column 100 will land for any array of numbers.
The number 100 would land in column 2
The number 100 would land in row 14The location of 100 in rows of 6 numbers is row 16 and column 3The location of 100 in rows of n numbers is row q and column rIn which column would the number 100 land?Given that we have the array of numbers
The length of each row in the array is 7
Dividing 100 by 7, we have
100/7 = 14 Remainder 2
This means that
Column = 2
In which row would the number 100 land?In (a), we have
100/7 = 14 Remainder 2
This means that
Row = 14
The location of 100 in rows of 6 numbersHere, we have
The length of each row in the array is 6
Dividing 100 by 6, we have
100/6 = 16 Remainder 3
So, the location of 100 in rows of 6 numbers is row 16 and column 3
Predicting the row and column 100 will landLet the length of each row in the array be n
Dividing 100 by n, we have
100/n = q Remainder r
This means that the location of 100 in rows of n numbers is row q and column r
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If I get payed $1.00 an hour, how much would I make for 10 minutes of work
Answer:
$0.10
Step-by-step explanation:
what is the correct distribution of (2x-8)(3x-6) using the distributive property
Answer:
6x² -36x +48
Step-by-step explanation:
The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)
(2x -8)(3x -6) = 2x(3x -6) -8(3x -6)
= 6x² -12x -24x +48 . . . . . . . form partial products
= 6x² -36x +48 . . . . . . . collect terms
Answer:
6x² - 36x + 48
Step-by-step explanation:
(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6
6x² - 12x - 24x + 48
6x² - 36x + 48 [Answer]
PLEASE RATE!! I hope this helps!!
if you have any questions comment below!!
(I have verified my answer using an online calculator)
A train goes from springfield, MA, to boston at 40 mph. On the way back, it returns with a speed 80 mph. If it takes an hour less time to return, what is it's average speed?
The average speed for the entire journey will be 53.333 miles per hour.
What is the average speed?The average speed is the ratio of the total distance traveled to the total time taken by the body. Its unit is m/sec.
The distance from the Springfield, MA, to Boston is, L
v₁ is the velocity during traveling from Boston to Springfield, MA
v₂ is the velocity during traveling from Springfield, MA to Boston
t₁ is the time needed to travel from Boston to Springfield, MA
t₂ is the time needed to travel from Springfield, MA to Boston
t is the total time period of the journey
v is the average speed
From the formula of distance;
Distance = speed × time
The speed of train for the going from Springfield, MA, to Boston is 40 mph. The time period is calculated as;
L = v₁ × t₁
t₁ = L/v₁
t₁ = L/40
The speed of train for the going from Boston to Springfield, MA, is 80 mph. The time period is calculated as;
L = v₂ × t₂
t₂ = L/v₂
t₂ = L/80
The total time is taken;
t = t₁ + t₂
t = (L/40)+( L/80)
t=3L/80
The ratio of total distance traveled to the total time spent by the body is known as average speed, calculated as;
Average speed = Total distance / Total time
v = 2L / (3L/80)
v= (2L × 80)/3L
v = 160 / 3
v = 53.333 miles per hour.
Hence the average speed for the entire journey will be 53.333 miles per hour.
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Are the triangles similar? Justify your answer
Answer:
Yes
Step-by-step explanation:
If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.
What happens to the interval as the level of confidence is changed? Explain why this is a logical result.
Answer with explanation:
A x% confidence interval interprets the percentage of certainty that a person can believe that the true population parameter.
It is also represented as Point estimate ± Margin of error
Confidence level is proportional to the Margin of error.
As confidence level increases the error bound increases that makes the confidence interval broader. As confidence level decreases the error bound decreases , making the confidence interval narrower.What is the missing side length?
Answer:
12
Step-by-step explanation:
5^2+12^2=13^2. It is a right triangle
I was so confident in this question but I still got it wrong:( help!!
Answer:
I believe it's a. I've seen you posting a lot of questions I hope you do good on your resubmission.
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
Hi, can you help me answer this question please, thank you!
We were given the following information:
Sample of men = 80, 45% of the sample owned cats (36 men owned cats)
Sample of women = 80, 55% of the sample owned cats (68.75 women owned cats)
The significance level is 0.025
We will calculate the test statistics as shown below:
\(undefined\)Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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Find the measure of the angle to the nearest degree. 20 POINTS
a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349
The measures of the angles to the nearest degree are:
a) A ≈ 36 degrees
b) B ≈ 23 degrees
c) C ≈ 2 degrees
To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.
Here are the steps to determine the angles:
a) sin A = 0.6018
Taking the inverse sine (arcsin) of both sides:
A = arcsin(0.6018)
Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).
b) cos B = 0.9205
Taking the inverse cosine (arccos) of both sides:
B = arccos(0.9205)
Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).
c) tan C = 0.0349
Taking the inverse tangent (arctan) of both sides:
C = arctan(0.0349)
Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).
Therefore, the measures of the angles to the nearest degree are:
a) A ≈ 36 degrees
b) B ≈ 23 degrees
c) C ≈ 2 degrees.
Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.
To determine the principal angle within a specific range, we use the inverse trigonometric functions.
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PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
What is the total weight of candy in a 5/6 pound bag site
We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.
What is weight?Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.
There are 16 ounces in a pound.
Thus, a 5/6 pound bag of candy weighs
5/6 × 16 = 13.3 ounces.
If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.
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Determine the values of the parameter s for which the system has a unique solution, and describe the solution. x 1 - 5 sx 2
Answer:
\(s \ne \±2\)
\(x_1 = \frac{3s - 2}{3(s^2 -4)}\)
\(x_2 = \frac{2(s- 6)}{5(s^2 - 4)}\)
Step-by-step explanation:
Given
\(3sx_1 +5x_2 = 3\)
\(12x_1 + 5sx_2 =2\)
Required
Determine the value of s
Express the equations as a matrix
\(A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right]\)
Calculate the determinant
\(|A|= (3s*5s -5 *12)\)
\(|A|= (15s^2 -60)\)
Factorize
\(|A|= 15(s^2 -4)\)
Apply difference of two squares
\(|A|= 15(s -2)(s + 2)\)
For the system to have a unique solution;
\(|A| =0\)
So, we have:
\(15(s -2)(s+2) = 0\)
Divide both sides by 15
\((s -2)(s+2) = 0\)
Solve for s
\(s -2 = 0\ or\ s +2 = 0\)
\(s = 2\ or\ s = -2\)
The result can be combined as:
\(s =\±2\)
Hence, the system has a unique solution when \(s \ne \±2\)
Next, we solve for s using Cramer's rule.
We have:
\(mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right]\)
Calculate the determinant
\(|x_1| = (3 * 5s - 5 *2)\)
\(|x_1| = 15s - 10\)
So:
\(x_1 =\frac{|x_1|}{|A|}\)
\(x_1 = \frac{15s - 10}{15(s -2)(s+2)}\)
Factorize
\(x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}\)
Divide by 5
\(x_1 = \frac{3s - 2}{3(s -2)(s+2)}\)
\(x_1 = \frac{3s - 2}{3(s^2 -4)}\)
Similarly:
\(mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right]\)
Calculate the determinant
\(|x_2| = 3s * 2 - 3 * 12\)
\(|x_2| = 6s- 36\)
So:
\(x_2 =\frac{|x_2|}{|A|}\)
\(x_2 = \frac{6s- 36}{15(s -2)(s+2)}\)
Factorize
\(x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}\)
Divide by 3
\(x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}\)
\(x_2 = \frac{2(s- 6)}{5(s^2 - 4)}\)
Part B
Select check boxes in each row to identify the fertilizing method that would best work for each example.
A farm that has delicate
crops and has many
employees
UDP
Precision
management
A gardener growing
vegetables for a family
A company that grows corn
and distributes to 10 states
The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
The fertilizing techniques that would be most effective for each example are as follows:
1. Farm with numerous workers and sensitive crops:
a. UDP (Unchecked )
b. Precision management (Checked)
2. A gardener raising produce for a family:
a. UDP (Checked).
b. Precision management (Unchecked )
3. Company that delivers corn to 10 states:
a. UDP (Unchecked)
b. Precision management (Checked)
Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.
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