Answer:
1/4 cup
Step-by-step explanation:
9/4 / 9 =
9/4 *1/9 the nines cancel out to leave
1/4
Reading
proportional relationships - part 1
do the values in the table represent a proportional relationship?
х
0
1
2.
3
y
0
3
5
6
select from the drop-down menu to correctly complete the statement.
all of the y-values choose...
a constant multiple of the corresponding x-values, so the relationship choose...
1
2
3
4
5
6
7
8
9
10
next
No, the values in the table do not represent a proportional relationship because the y-values are not a constant multiple of the corresponding x-values.
Based on the given table:
x | 0 | 1 | 2 | 3
y | 0 | 3 | 5 | 6
The values in the table do not represent a proportional relationship. To be proportional, all of the y-values should be a constant multiple of the corresponding x-values. However, in this case, the ratio of y/x is not constant (3/1, 5/2, 6/3). Therefore, the relationship is not proportional.
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helppp pleaseee enough points quick
Answer:
Step-by-step explanation:
same thing cant see
Can you help me with this I will Mark you brainliest!
Answer:
10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2
find io(t) if vs(t) =20sin4000tv . suppose that io(t)=i0cos(ωt ϕ) , where −360∘<ϕ≤360∘ . determine the values i0 , ω , and ϕ .
according to question the values of i0, ω, and ϕ are:
i0 = ±0.08 A
ω = 8000π rad/s
ϕ = -90 degrees
We are given:
vs(t) = 20sin(4000t)V
io(t) = i0cos(ωt + ϕ)
We need to find i0, ω, and ϕ.
To find i0, we can use the fact that the maximum value of io(t) occurs when sin(ωt + ϕ) = 1. Therefore, i0 is the maximum value of io(t). We can find the maximum value of io(t) by taking the amplitude of the cosine function, which is |i0|. We know that vs(t) = 20V is the maximum value of the voltage source, and io(t) is the current flowing through it. Therefore, |i0| = |vs(t)/Zc|, where Zc is the impedance of the capacitor.
The impedance of a capacitor is given by Zc = 1/(jωC), where j is the imaginary unit and C is the capacitance. Substituting the values, we get:
Zc = 1/(j400010^-6) = -j250
|i0| = |vs(t)/Zc| = |20/(−j250)| = 0.08 A
Therefore, i0 = ±0.08 A.
To find ω and ϕ, we can use the fact that io(t) lags vs(t) by 90 degrees. Therefore, ϕ = -90 degrees.
We also know that the angular frequency ω is related to the frequency f by ω = 2πf. In this case, the frequency is 4000 Hz. Substituting the value, we get:
ω = 2π(4000) = 8000π rad/s
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What is time managment? Question 1 options: The ability to use your time productively and efficiently. The art of having time to do everything that you need. The process of planning and controlling how much time to spend on specific activities.
The process of planning and controlling how much time to spend on specific activities.
What is time managment?Time management is the process of planning and controlling how much time to spend on specific activities in order to use your time productively and efficiently.
It involves setting goals, prioritizing tasks, creating schedules and to-do lists, and monitoring progress to ensure that time is used effectively.
Effective time management can help individuals to complete tasks and achieve their goals in a timely manner, reduce stress, and increase productivity.
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x - 3 < 4
graph the inequality
Answer: See the image below.
you have 42 chocolate chip cookies and 24 oatmeal cookies to serve. how many chocolate chip cookies will each person get?
Answer:66
Step-by-step explanation:
Answer: Well if there are 6 people in total they each will receive 7 chocolate cookies, and 4 oatmeal cookies, because 6 is a factor for both 24 and 42. Ans 7 is also a factor of 42 therefore, here is the answer.
Change
등
5
8
to a decimal.
Answer:
0.625
Step-by-step explanation:
To Turn a fraction to a decimal You have to divide numerator by denominator..
5/8 = 0.625
[RevyBreeze]
Write the slope-intercept form of the linear equation that is parallel to y = -3x + 5 and passes through (-4,5)
Answer:
y = -3x - 7
Step-by-step explanation:
slope: -3
point: (-4,5)
slope formula: y = mx + b
m = slope
b = y-intercept
First, substitute in slope
y = -3x + b
Then, substitute the point (x,y) to solve for b
5 = -3(-4) + b
5 = 12 + b
5 - 12 = 12 - 12 + b (Subtract 12 on both sides to balance equation)
-7 = b
Now, plug in whole equation without the point
y = -3x - 7
solve the proportion 1/6 ÷3/4
Answer:
the answer is 2/9
Step-by-step explanation:
1/6 ÷ 3/4
= 1/6 × 4/3
= 4/18
= 2/9
A student pays for pounds of apples with a $ bill. How much change does the student receive? Answer parts a and b. a. What do you do first to solve the problem? ▼ Divide Multiply the number of pounds of apples by the price per pound. ▼ 8.3 divided by 0.98 8.3 times 0.98 nothing or
Complete question :
A student pays for 8.3 pounds of apples with a $10 bill. It's $0.98 per pound. How much change does the student receive? Answer parts a and b. a. What do you do first to solve the problem? ▼ Divide Multiply the number of pounds of apples by the price per pound. ▼ 8.3 divided by 0.98 8.3 times 0.98 nothing or
Answer:
Kindly check explanation
Step-by-step explanation:
Cost per pound = $0.98
Number of pound = 8.3 pounds
First step:
Calculate the cost of 8.3 pounds of apple:
Multiply the price per pound by the total pounds of apple purchased
Hence, total cost :
8.3 * $0.98 = $8.134
Amount of change received :
Amount paid - total price
$10 - $8.134
= $1.866
An account earned 7.25% interest for 5 years and had a balance of $7587.78 at the end of the 5 years. what was the initial principal invested?
p = $
Therefore, the initial principal invested was approximately $6,000.00.
To calculate the initial principal invested, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = Final amount or balance
P = Principal or initial investment
r = Interest rate (in decimal form)
n = Number of times interest is compounded per year
t = Number of years
In this case, we have the following information:
A = $7587.78
r = 7.25% = 0.0725 (decimal form)
n = 1 (interest compounded annually)
t = 5 years
Plugging in these values, we can solve for P:
7587.78 = P(1 + 0.0725/1)^(1*5)
Simplifying the equation:
7587.78 = P(1.0725)^5
Dividing both sides by (1.0725)^5:
P = 7587.78 / (1.0725)^5
Calculating the value:
P ≈ $6,000.00
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.When a partition is formatted with a file system and assigned a drive letter it is called a volume.
True or False
The statement given "When a partition is formatted with a file system and assigned a drive letter it is called a volume." is true because when a partition is formatted with a file system and assigned a drive letter, it is called a volume.
A volume refers to a partition on a storage device, such as a hard drive or SSD, that has been formatted with a file system and assigned a drive letter. The file system determines how data is organized and stored on the volume, while the drive letter provides a unique identifier for accessing the volume. This allows the operating system to interact with the partition as a separate entity and enables users to store and retrieve data from that specific volume. Therefore, the statement is true.
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Fill in the table using this function rule.
y = 3 + 5x
X
1
1
3
0
4
5
Answer:
1=8
1=8
3=18
0=0
4=23
5=28
please mark the brainliest
What is Y= -1/3x + 3
Answer:
Slope: -1/3 y-intercept: (0,3) x-intercept: (9,0)
Step-by-step explanation:
1. How many numbers between 1 and 100 are not multiples of four? 2. Use the method of direct proof to prove that for any integer n, the integer m = (n-1)n(n + 1) is divisible by 3. Is m odd or even? 3. Use mathematical induction to prove that 4^n + 5 is divisible by 3 for any positive integer n.
P(k) => P(k+1) is true for any positive integer k, and P(1) is true. Therefore, by mathematical induction, P(n) is true for all positive integers n.
1. Numbers between 1 and 100 that are not multiples of four are as follows:1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 97, 98, 99.
Therefore, there are 75 numbers between 1 and 100 that are not multiples of four.2. Let n be any integer. We will prove that m = (n - 1)n(n + 1) is divisible by 3 using the method of direct proof. The proof is divided into two parts.Part 1: We will prove that if n is divisible by 3, then m is divisible by 3. Since n is divisible by 3, we can write it as n = 3k for some integer k. Now, we can write m as follows:
m = (n - 1)n(n + 1)
= (3k - 1)3k(3k + 1)
= 3(3k - 1)k(3k + 1)
Therefore, m is divisible by 3.
Part 2: We will prove that if n is not divisible by 3, then m is divisible by 3. Since n is not divisible by 3, we can write it as n = 3k + 1
or n = 3k + 2
for some integer k. We will consider these two cases separately.
Case 1: n = 3k + 1. Now, we can write m as follows:
m = (n - 1)n(n + 1)
= (3k) (3k + 1)(3k + 2)
= 3(3k)(3k + 1)(k + 2)
Therefore, m is divisible by 3.
Case 2: n = 3k + 2. Now, we can write m as follows:
m = (n - 1)n(n + 1)
= (3k + 1) (3k + 2)(3k + 3)
= 3(3k + 1)(k + 1)(3k + 3)
Therefore, m is divisible by 3.In both cases, we have shown that m is divisible by 3. Therefore, m is divisible by 3 for any integer n. Also, m is always odd since one of the factors (n-1), n, or (n+1) must be even. Therefore, the product (n-1)n(n+1) is always odd.3.
Let P(n) be the statement "4^n + 5 is divisible by 3."We will prove that P(n) is true for all positive integers n using mathematical induction. Base Case: P(1) is true because 4^1 + 5 = 9,
which is divisible by 3.Inductive Step: Assume that P(k) is true for some positive integer k,
i.e., 4^k + 5 is divisible by 3.
We will prove that P(k+1) is true as well.Using the assumption that P(k) is true, we can write 4^(k+1) + 5 as follows:
4^(k+1) + 5
= 4^k * 4 + 5
= 4^k * 3 + 4^k + 1
Since 4^k + 5 is divisible by 3 (by assumption), and 4^k * 3 is also divisible by 3, we can conclude that 4^(k+1) + 5 is divisible by 3.Therefore, P(k) => P(k+1) is true for any positive integer k, and P(1) is true. Therefore, by mathematical induction, P(n) is true for all positive integers n.
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Annabeth is a salaried employee who earns additional compensation for all hours over
40 worked in one week. Her bi-weekly gross earnings are $913.45. If she is paid time-
and-a-half for her overtime hours, what are her bi-weekly gross earnings if she works
47 hours during a week of her pay period? (6 points)
Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.
What is amount?Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.
This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.
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What is the value of x?
Answer:
46°
Step-by-step explanation:
from large triangle:
let the third unknown angle be 'a'
then,
a+x+7+85=180
a=88-x
now,from small triangle,
let the third unknown angle be 'b'
then,
b+x+2x=180
b=180-3x
b=a (vertically opposite angles)
then,
180-3x=88-x
2x=92
x=46
Could the number of cars owned be related to whether an individual has children? In a local town, a simple random sample of 200 residents was selected. Data was collected on each individual on how many cars they own and whether they have children. The data was then presented in the frequency table:
Number of Vehicles Do you have children Total
No Yes
Zero: 24 50 74
One: 27 25 52
Two or more: 57 17 74
Total: 108 92 200
Part A: What proportion of residents in the study have children and own at least one car? Also, what proportion of residents in the study do not have children and own at least one car? (2 points)
Part B: Explain the association between the number of cars and whether they have children for the 200 residents. Use the data presented in the table and proportion calculations to justify your answer. (4 points)
Part C: Perform a chi-square test for the hypotheses.
H0: The number of cars owned by residents of a local town and whether they have children have no association.
Ha: The number of cars owned by residents of a local town and whether they have children have an association.
What can you conclude based on the p-value?
The probability of number of 1-2 Children in car and 3 plus children in car is 0.203.
We have,
The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.
The probability of P(1-2 children| car). P (3 plus children| car) is given by:
P = 63/88 × 25/88
P=0.203
The probability of P(Bus| 1-2 children). P (Bus | 3 plus children) is given by:
P = 38/101 × 49/74
P=0.249
The probability of P(Car |1-2 Children) is given by:
P= 63/101
P=0.624
The probability of P(3 plus children | Bus)is given by:
P=49/87
P=0.563
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complete question:
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
The table shows the mode of transportation to school for families with a specific number of children.
Mode of Transportation
Car
Number of
Children
0.284
1-2
63
38
3+
25
49
Total
88
87
A family from the survey is selected at random. Match the probability to each event.
0.662
Bus
0.203
0.249
101
74
175
0.624
P (3+ Children Bus)
Total
P(1-2 Children Car) - P (3+ Children Car)
Reset
P (Car 1-2 Children)
0.563
P (Bus 1-2 Children) - P (Bus 3+ Children)
▸
Select all the expressions that are rational numbers.
Answer:
We need more to this question
Step-by-step explanation:
21. Graph the quadratic function f(x) = 2(x + 4)²-1. Find and label the vertex and axis of symmetry. Vertex Axis of symmetry.
Answer:Pitch of the sound depends upon its frequency. As the pitch of the sound is directly proportional to frequency, Low-frequency sounds are said to have low pitch whereas sounds of high frequency are said to have the high pitch.
Step-by-step explanation:
20 points!! please help, will give brainliest
Answer:
(-0.8, 2.2)
Step-by-step explanation:
Where the two lines intersect is the solution to the System of Equations.
Answer:
the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left
Help me on this please
Answer:
I think it's the answer.
Domain - { 1, 9, 0 }
Range - { -2, 9, 1, 2 }
Not sure
Calculate the cross product assuming that UxV=<6, 8, 0>
Vx(U+V)
The value of the expression V × (U + V) after applying the cross product of the vector would be < - 6, - 8, 0 >.
Given that;
The cross-product assumes that;
U × V = <6, 8, 0>
Now the expression to calculate the value,
V × (U + V)
= (V × U) + (V × V)
Since, V × V = 0
Hence we get;
= (V × U) + 0
= - (U × V)
= - < 6, 8, 0>
Multiplying - 1 in each term,
= < - 6, - 8, 0 >
Therefore, the solution of the expression V × (U + V) would be,
V × (U + V) = < - 6, - 8, 0 >
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Given the cross product UxV=<6, 8, 0>, the calculation of the cross product Vx(U+V) involves the distributive property of cross products. VxU is found to be <-6, -8, 0> and VxV is 0, therefore Vx(U+V) = <-6,-8,0>.
Explanation:The question is asking for the calculation of the cross product Vx(U+V) given that UxV=<6, 8, 0>. In order to calculate the cross product Vx(U+V), we apply the distributive property of the cross product, which states that Vx(U+V) = VxU + VxV.
Given that UxV is <6, 8, 0>, VxU would be <-6, -8, 0>, according to the anticommutative property of cross products. VxV is 0, since the cross product of a vector with itself is always 0.
Therefore, Vx(U+V) = <-6, -8, 0> + <0, 0, 0> = <-6,-8,0>.
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(1 point) If A and B are 3×3 matrices, det(A)=−3 det(A)=−3, det(B)=7, thendet(AB)=det(3A)=det(AT)=det(B−1)=det(B2)=
For the 3×3 matrices having det(A)=−3 det(A)=−3, det(B)=7 the det(AB) is -21 ,det(3A) is -81 ,det(Aᵀ) is -3 , det(B-¹) is 1/7 and
To find the det(B²) is 49. values of det(AB), det(3A), det(Aᵀ), det(B-¹),
and det(B²) given that A and B are 3x3 matrices, det(A) = -3, and det(B) = 7.
1. det(AB):
Using the property of determinants, det(AB) = det(A) * det(B).
So, det(AB) = (-3) * (7) = -21.
2. det(3A):
For a 3x3 matrix, det(kA) = k³ * det(A) where k is a scalar. In this case, k = 3.
So, det(3A) = 3³ * (-3) = 27 * (-3) = -81.
3. det(Aᵀ):
The determinant of the transpose of a matrix is equal to the determinant of the original matrix.
So, det(Aᵀ) = det(A) = -3.
4. det(B-¹):
For the inverse of a matrix, det(B-¹) = 1 / det(B).
So, det(B-¹) = 1 / 7.
5. det(B²):
Using the property of determinants for powers, det(B²) = det(B) * det(B) = 7 * 7 = 49.
So, det(AB) = -21, det(3A) = -81, det(Aᵀ) = -3, det(B-¹) = 1/7, and det(B²) = 49.
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If 7x 3 = 24, what is the value of 5 - 4x? a. -23 b. -7 c. 1 d. 17 show steps pls
The value of 5 - 4x is 7/3, which is equivalent to option (d) d. 17
If 7x³ = 24, we can solve for x by taking the cube root of both sides:
\((7x^3)^{1/3} = (24)^{1/3} \\x = (24)^{1/3} \div7^{1/3}\)
To find the value of 5 - 4x, we can substitute the expression for x into the second equation:
5 - 4x = \(5 - 4(24)^{1/3} \div 7^{1/3\)
Simplifying, we get
5 - 4x = 5 - 4(2/3)
5 - 4x = 5 - (8/3)
5 - 4x = (15/3) - (8/3)
5 - 4x = 7/3
So the value of 5 - 4x is 7/3, which is equivalent to option (d) d. 17
The cube root of a number is a value that when multiplied by itself twice, produces the original number.
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Points (-21, 5) and (-7,y) have a slope of 5. Find the y coordinate of the point.
Answer:
80
Step-by-step explanation:
The equation of finding a slope is y2-y1/x2-x1.
y-5/-7-(-21)=5
y-5/-7+21=5
y-5/15=5
y-5=75
y=80
palindromic primes are two-digit prime numbers such that the number formed when the digits are reversed is also prime. what is the sum of all palindromic primes less than ?
Thus, the sum of palindromic primes less than 100 is 2+3+5+7+11+101=129.
Palindromic primes are two-digit prime numbers such that the number formed when the digits are reversed is also prime. The sum of all palindromic primes less than 100 is 2+3+5+7+11+101=129.
The first palindromic prime number is 11. We note that for palindromic numbers to be prime, the digits at the units and ten's place must be odd (1, 3, 5, 7, or 9).
Thus, a number would be palindromic if it is formed in the following ways:
a. The tens place would be a digit from the given set of digits
b. The units place would be the same as the digit at the tens place
The primes that fit these criteria are 11, 22, 33, 44, 55, 66, 77, 88, and 99.
However, only 11, 33, 55, and 77 are prime.
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the hourly wages of certain group of workers in a large manufacturing company are uniformly distributed on the interval images. what percentage of these workers are making over $25 an hour? g
Approximately 58.33% of the workers in the group are making over $25 an hour. The percentage was obtained by finding the area under the uniform distribution curve above the value of $25.
Since the hourly wages of the workers are uniformly distributed on the interval [20, 32], the probability density function is constant on this interval. The area under the probability density function between any two points a and b gives the probability that a randomly chosen worker's wage will be between a and b. Therefore, the probability that a worker's wage is above $25 is given by the area under the probability density function from 25 to 32, which is (32-25)/(32-20) = 7/12 or approximately 58.33%. Thus, approximately 58.33% of the workers are making over $25 an hour.
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A region with a 10-mile radius has a population density of about 869 people per square mile. Find the number of people who live in the region.
There are 273,028 people who live in the region.
How to find the number of people who live in the region?To find the number of people who live in the region, we need to calculate the area of the region and then multiply it by the population density.
The area of a circle with radius r is given by the formula \(A = \pi r^2.\)Therefore, the area of the region with a 10-mile radius is:
\(A = \pi r^2 =\pi (10^2)\) = 100π square miles
The number of people who live in this region can be found by multiplying the area by the population density:
Number of people = Population density x Area
= 869 people/square mile x 100π square miles
= 86900π people
Using a calculator, we can approximate this to:
Number of people ≈ 273,028.4
Therefore, there are approximately 273,028 people who live in the region with a 10-mile radius and a population density of 869 people per square mile.
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