Answer:
C
Step-by-step explanation:
64>x^3, plugging in x=3, we have 64>27 which is TRUE
Sudhanshu is solving a system representing a race between two remote control cars. The variable x is defined as time in seconds, and y is the distance in meters from the starting line.
Red car: y = 3 x + 5. Blue car: y = 4 x.
How many solutions should Sudhanshu find?
zero
one
two
infinite
Answer:
One
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptSolving systems of equations
Step-by-step explanation:
Step 1: Define
Identify systems
y = 3x + 5
y = 4x
Step 2: Solve
If we compare the 2 lines, we can see that they both have a different slope. If they had the same slope but different y-intercepts, then they would be parallel and have no solution. We can also see that the 2 lines aren't the same. If they were, then they would have infinite solutions.
∴ the systems should have only one solution.
Answer:
B
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
9x – 15y = 135
Answer:
y=3/5x-9
Step-by-step explanation:
9x – 15y = 135
Subtract 9x from each side
9x -9x – 15y =-9x+ 135
-15y = -9x +135
Divide each side by -15
-15y/-15 = -9x/-15 +135/-15
y=3/5x-9
The California State University (CSU) system consists of 23 campuses, from San Diego State in the south to Humboldt State near the Oregon border. A CSU administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. Describe and discuss several different sampling methods that might be employed. (Select all that apply.) There are no potential problems with self reporting of distances.
Answer:
1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.
2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.
3)Certain problems arise with self reporting of distances, such as recording error or poor recall.
Step-by-step explanation:
1)The sample could be generated by taking a stratified random sample by taking a simple random sample from each of the 23 campuses and again asking each student in the sample to report the distance from their hometown to campus.
2)One could take a simple random sample of students from all students in the California State University system and ask each student in the sample to report the distance from their hometown to campus.
3)Certain problems arise with self reporting of distances, such as recording error or poor recall.
You have 8 quarts of milk. You need 1.25 cups to make one serving of deep fried chicken. How many servings can you make?
Answer: 25.6 servings (partial serving) / 25 servings (whole serving)
Step-by-step explanation:
Concepts:
As we can see from the question, there are two units applied. [Quarts] and [cups]; therefore, we need to do the unit conversion.
1 quart = 4 cups
Solve:
Step one: Convert quarts into cups
1 quart = 4 cups8 quarts = 4 × 8 = 32 cupsStep two: Divide the cups to find the number of servings
32 cups / 1.25 cups = 25.6 servings**Disclaimer** I am not sure about the rules that you apply in mathematics. Here, the answer is not an integer. I am concerned whether you would allow partial servings. In my understanding, the servings shall be a whole, thus should be rounded. However, if you are fine with decimals, then you have the choice.
Hope this helps!! :)
Please let me know if you have any questions
Let sin A = -5/13 with 270 degrees < A < 360 degrees and cos B = -15/17 with 90 degrees < B < 180 degrees find sin (A+B)
Answer:
Step-by-step explanation:
Each month, Terrance spends $128.00 on his car payment, $63.00 for car insurance, and $45.00 on gas. Round each amount to the nearest ten and estimate the amount of money Terrance spends each month to own a vehicle. $240.00 $220.00 $230.00 $210.00 which one is it
Answer:
$240
Step-by-step explanation:
Rounding each amount to the nearest 10
Car $128 = $130
Insurance $63 = $60
Gas $45 = $50
130 + 60+ 50 = $240
find all the missing measurement
Answer:
fshscssjjsv 57
Step-by-step explanation:
fsuevwuwhw 58
please help, will give brainliest!!!
Answer:
f^-1(x) = sqrt(x+4)
Step-by-step explanation:
y = x^2 -4
Exchange x and y
x = y^2 -4
Add 4 to each side
x+4 = y^2
Take the square root of each side
sqrt(x+4) = y
f^-1(x) = sqrt(x+4)
Answer:
f^-1(x) = sqrt(x+4)
Step-by-step explanation:
a truck rental company rents a moving truck for one day by charging $20 plus $0.05 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. waht is the cost of renting the truck if the truck is driven 107 miles
Answer:
The linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven is 0.05*x + 20 and the cost of renting the truck if the truck is driven 107 miles is 25.35.
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the form:
f (x) = y = m*x + b
where m is the slope of the function and b is the y-intercept.
The graph of a linear function is always a line.
A truck rental company rents a moving truck for one day by charging $20 plus $0.05 per mile. So, the number of miles travel is represented by "x" and the cost per mile is represented by "c". The y-intercept is the starting cost at zero miles or $20. The slope is the rate per mile or $0.05. Then:
c= 0.05*x + 20
If the truck is driven 107 miles, then:
c= 0.05* 107 + 20
Solving:
c= 25.35
So, the linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven is 0.05*x + 20 and the cost of renting the truck if the truck is driven 107 miles is 25.35.
Find m These questions getting hard
Answer:
the
Step-by-step explanation:
it's fairly easy actually. You just have to use sin
Malingo read 3/8 of a book on Friday, 1/4 on Saturday and the rest on Sunday. what fraction did he read on Sunday?
Answer:
3/8
Step-by-step explanation:
We can write the entire book with the number 1. Now we can write this operation
3/8 + 1/4 + x = 1
3 + 2 + 8x = 8
5 + 8x = 8
8x = 3
x = 3/8
Subtract 7 pounds 3 ounces from 10 pounds
Refer to the values described below, then identify which of the following is most appropriate: discrete random variable, a. Responses to the survey question "How many pets do you have?" b. Exact heights of the next 100 babies born in a region c. Responses to the survey question "What is your eye color?" d. Exact foot length of humans e. Number of people in families a. Since the outcomes are b. Since the outcomes are countable, this is this is a discrete random variable. random variable.
Answer:
Exact heights of the next 100 babies born in a region.
Step-by-step explanation:
A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.
The circumference of a circle with radius r can be found using the formula C=2πr
Find the circumference of a circle with radius 15.4 feet . Round your answer to two decimal places.
----------------------ft
Answer:
96.72
Step-by-step explanation:
Answer:
96.77
Step-by-step explanation:
pi is 3.142
radius = 15.4ft
c = 2*3.142*15.4
Need help with the answers that have been left Blank don’t understand how to do them
Step-by-step explanation:
d=20 J.
E=2,N,J
this is your answer
Slope=6and passes through (4,-1)
Answer:
Step-by-step explanation:
If you need the equation:
point slope form is:
y-y1 = m(x-x1)
m is the slope and (x1,y1) is a point on the line.
y- (-1) = 6(x-4)
If you want standard form:
y= 6x -24 -1
y=6x-25
Use the limit comparison test to determine whether ∑n=19∞an=∑n=19∞8n3−2n2+196+3n4 converges or diverges.
(a) Choose a series ∑n=19∞bn with terms of the form bn=1np and apply the limit comparison test. Write your answer as a fully simplified fraction. For n≥19,
limn→∞anbn=limn→∞
(b) Evaluate the limit in the previous part. Enter ∞ as infinity and −∞ as -infinity. If the limit does not exist, enter DNE.
limn→∞anbn =
(c) By the limit comparison test, does the series converge, diverge, or is the test inconclusive?
Answer:
Diverges
General Formulas and Concepts:
Algebra I
Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Calculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Series Convergence Tests
P-Series: [tex]\displaystyle \sum^{\infty}_{n = 1} \frac{1}{n^p}[/tex]Direct Comparison Test (DCT)Limit Comparison Test (LCT): [tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex]
Step 2: Apply DCT
Define Comparison: [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{n^3}{n^4}[/tex][Comparison Sum] Simplify: [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n}[/tex][Comparison Sum] Determine convergence: [tex]\displaystyle \displaystyle \sum^{\infty}_{n = 19} \frac{1}{n} = \infty , \ \text{div by P-Series}[/tex]Set up inequality comparison: [tex]\displaystyle\frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \geq \frac{1}{n}[/tex][Inequality Comparison] Rewrite: [tex]\displaystyle n(8n^3 - 2n^2 + 19) \geq 6 + 3n^4[/tex][Inequality Comparison] Simplify: [tex]\displaystyle 8n^4 - 2n^3 + 19n \geq 6 + 3n^4 \ \checkmark \text{true}[/tex]∴ the sum [tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex] is divergent by DCT.
Step 3: Apply LCT
Define: [tex]\displaystyle a_n = \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}, \ b_n = \frac{1}{n}[/tex]Substitute in variables [LCT]: [tex]\displaystyle \lim_{n \to \infty} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4} \cdot n[/tex]Simplify: [tex]\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4}[/tex][Limit] Evaluate [Coefficient Power Rule]: [tex]\displaystyle \lim_{n \to \infty} \frac{8n^4 - 2n^3 + 19n}{6 + 3n^4} = \frac{8}{3}[/tex]∴ Because [tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} \neq 0[/tex] and the sum [tex]\displaystyle \sum^{\infty}_{n = 19} a_n[/tex] diverges by DCT, [tex]\displaystyle \sum^{\infty}_{n = 19} \frac{8n^3 - 2n^2 + 19}{6 + 3n^4}[/tex] also diverges by LCT.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Convergence Tests (BC Only)
Book: College Calculus 10e
Multiply the complex numbers: (1∕2 + 4i)2
Question 10 options:
A)
–153∕4 + 4i
B)
153∕4 + 8i
C)
–153∕4 + 8i
D)
153∕4 + 4i
Step-by-step explanation:
153∕4 + 8i is the correct answer
[I'm supposing that you have to find the value of (1/ 2 + 4i)²]
Answer:
[tex] = \frac{ - 63}{4} + 4i[/tex]
Step-by-step explanation:
we must know that
(a + b)² = a² + b² + 2ab[tex] {( \frac{1}{2} + 4i) }^{2} = { (\frac{1}{2} })^{2} + {(4i)}^{2} + 2 . \frac{1}{2} . 4i[/tex]
[tex] = \frac{1}{4} + 16 {i}^{2} + 4i[/tex]
since i²= -1[tex] = \frac{1}{4} - 16 + 4i[/tex]
[tex] = \frac{1 - 64}{4} + 4i[/tex]
[tex] = \underline{ \frac{ - 63}{4} + 4i} [/tex]
[I'm also assuming that instead of -153/4 + 4i option A says -63/ 4 + 4i.]
so the answer is option A.
Please someone help I need help been stuck on this for the longest
Answer:
a.) 16
b.) 8
Step-by-step explanation:
a. how much lower was the 6am temperature in Nome than in Wyoming
Essentially this question is asking us to find the difference of the temperatures of Nome and Wyoming at 6am
Temperature of Nome at 6am: -31
Temperature of Wyoming at 6am: -15
Difference between two temperatures: -31 - (-15)
The two negative signs cancel out and the sign changes to +
-31 + 15 = -16
The temperature in Nome was 16 degrees lower then in Wyoming
b. At noon the temperature of Boston had risen by 14 degrees. what was the temperature of boston at noon.
All we have to do for this one is add 14 to the temperature of Boston at 6am. ( This is because the question tells us the temperature has risen 14 degrees by noon )
-6 + 14 = 8
At noon the temperature would be 8 degrees in Boston.
2-[6÷2+{6×1/2+(7/2-3/2)}]
Answer:
-6
Step-by-step explanation:
2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =
Follow the correct order of operations.
Do one step at a time and copy everything else each time, so you don't lose track of any operation.
= 2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]
= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]
= 2 - [6 ÷ 2 + {3 + 2}]
= 2 - [6 ÷ 2 + 5]
= 2 - [3 + 5]
= 2 - 8
= -6
Answer:
-6
hope this helps
Step-by-step explanation:
2_(6÷2+(6*1/2+(7/2-3/2))) solve the ones in bracket first
(7/2-3/2)=2
2-(6÷2+(6×1/2+2))
6×1/2+2
6×1/2=3
3+2=5
2-(6÷2+5)
6÷2=3
3+5=8
2-8
=-6
James defines a line segment as "a portion of a line." His statement is not precise enough because he should specify that
A. the segment includes every point on the line
B. the segment can be part of a ray
C. the segment continues forever in both directions
D. the segment has two endpoints
THE ANSWER IS D !!!!!! IM IN GEOMETRY
Answer: D. the segment has two endpoints.
Step-by-step explanation:
A line segment refers to a part of a line which is bounded by two distinct end points. The line segment is part of the line which helps in the connection of two points that are considered to be the endpoints.
A line segment is the distance between the two points and which one measure.
They can be used to form a side of a polygon because they have a defined length.
Answer:
D. the segment has two endpoints
Step-by-step explanation:
I took the test as well.
How many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 16% alcohol?
Answer:
✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.
Step-by-step explanation:
Hope this helps~ ;D
Under which transformation can the image be a different size than the original
figure?
A. translation
B. rotation
C. dilation
D. reflection
C. Dilation.
Dilation can resize the image.
Translation will shift the imagine's position but won't change its actual size.
Rotation will mangle with image's orientation but also won't change its size.
Reflection is just a type of rotation which as established, also won't change its size.
Hope this helps.
Someone help please
66 because you have to solve the problem next time
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!! THIS IS NOT A TEST OR AN ASSESSMENT!!! Please help me answer these questions. Chapter 12 part 1
1. What is a recursive formula?
2. What is a factorial?
3. What is the relationship between sequences, series and sigma notation?
Answer:
1. What is a recursive formula?
A recursive formula is a formula that defines each term of a sequence using preceding terms of the sequence.
2. What is a factorial?
factorial the product of all positive integers less than or equal to n:
3. What is the relationship between sequences, series and sigma notation?
A series can be represented in a sigma notation.
A series can be represented in a sigma notation.A series is a sum of a sequence of terms.
Morgan puts $3,200 into an investment account that earns compound
interest at a rate of 0.6% per month. Calculate the accumulated amount in
Morgan's account at the end of the 15th month.
Answer:
3500.416
Step-by-step explanation:
Compound interest formula
A = A0(1 + r/n)^nt
3200(1 + 0.6%)^15
3200(1 + 0.006)^15
3200(1.006)^15
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
y=1/4x
Step-by-step explanation:
Just did the math ;D
The hypotenuse of a right triangle is 16 units and the length of one of the legs is 12 units. What is the length of the other leg in simplest radical form?
A. 2√13
B. 4√11
C. 2√17
D. 4√7
Answer:
D, 4√7
Step-by-step explanation:
Answer:
Step-by-step explanation:
c = 16
a = 12
b = ?
a^2 + b^2 = c^2
12^2 + b^2 = 16^2
144 + b^2 = 256
b^2 = 256 - 144
b^2 = 112
b^2 = 16 * 7
sqrt(b^2) = sqrt(16)*sqrt(7)
b = 4 * sqrt(7)
Can someone possibly help me?
Answer:
72
Step-by-step explanation:
To be divisible by 4, the number must be even, so we can eliminate 63 and 73 (There are other restrictions for 4, we just want to eliminate answers that cannot be true)
We have only 2 answers left
64 and 72
To be divisible by 3, the sum of the digits must be divisible by 3
6+4 = 10 which is not divisible by 3
7+2 = 9 9/3 =3
If anyone can give me the answer that will be greatly appreciated :)
42-x=58
or, -x=58-42
with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.
or, -x= 16
or,x=-16.
therefore x=-16...
Hope this helps you.
