what is the gcf of 35, 20,15
Answer:
Prime factorisation of the numbers -
\( \\ \sf \: 35 = 7 \times \underline5 \\ \\ \sf \: 20 = \underline5 \times 4 \\ \\ \sf \: 15 = 3 \times \underline5 \\ \)
As, we can see that the 5 is common in the both three numbers. So,
GCF, greatest common factor (35, 20, 15) = 5
What are fractions between 1 and 1/2
Answer: 3/4, 5/8, 9/16, 31/32, etc.
Step-by-step explanation: Any fraction above the 1/2 ratio, but below the full number will work. (i.e. any number above 16 for 32nds, but below 32. So 17/32, 18/32, 19/32, etc.)
please help me answer this
Please help!!! Angles!
Answer:
m∠JKM = 63°
m∠MKL = 27°
Step-by-step explanation:
Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.
\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)
Solve the equation for x:
\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)
We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,
m∠JKM = 12(5) + 3 = 60 - 3 = 63°
m∠MKL = 6(5) - 3 = 30 - 3 = 27°
run the simple regression of math4 on pctsgle and report the results in the usual format. interpret the slope coefficient. does the effect of single parenthood seem large or small?
The regression analysis provides important insights into the relationship between single-parent households and student math performance.
To begin our analysis, we will run a simple linear regression of math4 on pctsgle. This will help us understand the relationship between the percentage of single-parent households in a school's ZIP code and the math performance of the students in that school.
Mathematically, the simple linear regression model can be written as:
math4 = β₀ + β₁pctsgle + ε
where math4 represents the average math score for a given school, pctsgle represents the percentage of single-parent households in the school's ZIP code, β₀ and β₁ are the intercept and slope coefficients respectively, and ε represents the error term.
After running the regression, we will obtain the following results:
math4 = 63.91 - 0.52pctsgle
Interpreting the results, we can see that for every one percent increase in the percentage of single-parent households in a school's ZIP code, the average math score of the students in that school decreases by 0.52 points.
The effect of single parenthood may seem small based on the slope coefficient of -0.52. However, it is important to note that this is just one variable and there may be other factors that could be contributing to the decrease in math performance.
Therefore, further analysis may be needed to fully understand the impact of single-parent households on student math performance.
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Complete Question:
Use the data in MEAPSINGLE to study the effects of single-parent households on student math performance. These data are for a subset of schools in southeast Michigan for the year 2000. The socioeconomic variables are obtained at the ZIP code level (where ZIP code is assigned to schools based on their mailing addresses).
Run the simple regression of math4 on pctsgle and report the results in the usual format. Interpret the slope coefficient. Does the effect of single parenthood seem large or small?
Disregard the answered questions in the photo there wrong.
1-10 simple interest
11-20 compound interest
Pre-Algebra
Assignment
Use simple interest to find the ending balance.
1) $39,700 at 2% for 7 years
3) $195 at 9% for 9 years
5) $415 at 4% for 6 years
7) $9,000 at 3% for 2 years
11) $1,250 at 14% compounded
semiannually for 2 years
13) $32,000 at 10% compounded
annually for 7 years
15) $3,200 at 2% compounded
semiannually for 4 years
17) $1,880 at 2% compounded
monthly for 2 years
19) $980 at 7% compounded
monthly for 5 years
9) $60,000 at 8% for 2 years
2) $42,000 at 8% for 6 years
4) $42,000 at 7% for 7 years
6) $4,500 at 10% for 6 years
8) $75 at 8% for 6 years
10) $12,100 at 5% for 4 years
12) $800 at 2% compounded
annually for 5 years
14) $53,700 at 3% compounded
annually for 2 years
16) $22,000 at 14% compounded
semiannually for 5 years
18) $46,900 at 14% compounded
quarterly for 2 years
20) $26,000 at 11% compounded
quarterly for 2 years
The ending balance is in each case;
1) $45258
2) $352.95
3) $514.6
4) $9540
What is the simple interest?Simple interest is a type of interest calculation that is applied to a loan or deposit, where interest is calculated as a fixed percentage of the principal amount over a specified time period. Simple interest is calculated based on the formula:
I = P * r * t
where I is the interest amount, P is the principal amount, r is the interest rate as a decimal, and t is the time in years.
1) SI = 39,700 * 2 * 7/100
= 5558
Ending balance = $45258
2) 195 * 9 * 9/100
= 157.95
Ending= $352.95
3) 415 * 4 * 6/100
= 99.6
Ending balance = $514.6
4) 9,000 * 3 *2/100
= 540
Ending balance = $9540
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What's the area of the figure below?
A) 96 meters squared
B) 196.48 meters squared
C) 178.3 meters squared
D) 100.48 meters squared
Answer:
196.48
Step-by-step explanation:
Area of the semi-circle:
A= (πr^2)/2
A= (3.14 x 64)/2
A= 100.48
Area of triangle:
A= 1/2bh
A= 1/2(16)(12)
A= 96
96 + 100.48= 196.48
brainliest pls
Step-by-step explanation:
Area of the given figure= area of semicircle + area of triangle
= 1/2 py r²+ 1/2 × b× h
= 1/2×22/7×8+1/2×16×12
= 760/7 m²
What distance is traveled by a car going 80 km/h in a time of 4 hours 30 minutes? (please say the equation you used as well)
Answer:
360 miles
Step-by-step explanation:
(4 x 80) + 40
Can I have brainlyiest
There are six cookies and four friends want to share them how much will it be
Answer:
1.5 each friend
Step-by-step explanation:
6 divided by 4 = 1.5
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472.
Find the substance’s half-life, in days. Round your answer to the nearest tenth.
A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.
The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:
t = (0.693 / k)
where t is the half-life and k is the decay constant.
In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.
t = (0.693 / 0.1472) ≈ 4.7 days
Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.
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the hurwicz criterion is a compromise between the minimax and maximin criteria. a. true b. false
True. In game theory and decision theory, the Hurwicz criterion is a decision-making rule between the minimax and maximin criteria.
The Hurwicz criterion is a hybrid of the minimax and maximin criterion. The minimax criterion is concerned with minimising the most potential loss, whereas the maximin criterion is concerned with maximising the least possible gain. The Hurwicz criterion is expressed as a weighted average of the greatest and worst outcomes:
Decision value = α(best payoff) + (1-α)(worst payoff)
where alpha is coefficient representing the decision-maker's optimism or pessimism. The Hurwicz criterion provides a more versatile decision-making tool than the minimax or maximin criteria alone, allowing for a balance between risk-taking and risk-aversion.
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Identify the sampling technique used for the following study. 00:24:26 For budget purposes, a financial advisor needs to know the average length of tenure of instructors at their college. Answer 2 Points i Keypad > Keyboard Shortcuts Next O Census Simple Random Sampling Stratified Sampling O Cluster Sampling Systematic Sampling O Convenience Sampling
The correct answer is option c. Stratified Sampling is a type of sampling method used when the population is divided into homogeneous subgroups or strata.
With this sampling method, the population is segmented into a number of smaller groups depending on traits like gender, age, or location.
The financial advisor has to know the typical tenure of instructors at their college for the specified study.
As a result, strata can be created within the population according to how long the instructors have been teaching, and samples can be drawn from each of the strata.
In this manner, it will be possible to calculate the sample data's correct estimation of the average tenure of the college's instructors.
Complete Question:
Identify the sampling technique used for the following study
For budget purposes, a financial advisor needs to know the average length of tenure of instructors at their college.
a. Census Simple
b. Random Sampling
c. Stratified Sampling
d. Cluster Sampling
e. Systematic Sampling
f. Convenience Sampling
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Jacy has a collection of 140 coins worth $19.00. she has only nickels, dimes, and quarters. the difference in the number of dimes and the number of quarters is 10. using matrices, how many nickels are in jacy’s collection?
She has 38 nickels
N as the number of nickels, D as the number of dimes, and Q as the number of quarters.
She has 140 coins in total, so we can writen:
N + D + Q = 140.
And the total value is $19.00
Then we have:
N*0.05 + D*0.10 + Q*0.25 = 19
And "The difference in the number of dimes and the number of quarters is 10."
D - Q = 10.
So we have a system of 3 equations and 3 variables:
N + D + Q = 140
N*0.05 + D*0.10 + Q*0.25 = 19
D - Q = 10.
First, let's isolate one of the variables in the third equation, i will isolate D.
D = 10 + Q.
Now we can replace this in the other two equations:
N + (10 + Q) + Q = 140
N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.
Now we can isolate Q in the first equation:
N + 10 + 2*Q = 140
2*Q = 140 - 10 - N
Q = 130/2 - N/2. = 65 - N/2
Now we can replace this in the other equation:
N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19
N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19
Now we can find the number of nickels.
N*0.05 + 1 + 22.75 - N*0.175 = 19
23.75 - N*(0.175 - 0.05) = 19
23.75 - 19 = N*0.125
4.75/0.125 = N
38 = N
She has 38 nickels
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Use appropriate algebra to find the given inverse Laplace transform. (Write your answer as a function of t.) L^−1 { (2/s − 1/s3) }^2
the given Laplace transform is,L^−1 { (2/s − 1/s^3) }^2= 2u(t) * 2u(t) − t^2/2= 4u(t) - t^2/2Hence, the answer is 4u(t) - t^2/2.
Given Laplace Transform is,L^−1 { (2/s − 1/s^3) }^2
The inverse Laplace transform of the above expression is given by the formula:
L^-1 [F(s-a)/ (s-a)] = e^(at) L^-1[F(s)]
Now let's solve the given expression
,L^−1 { (2/s − 1/s^3) }^2= L^−1 { 2/s − 1/s^3 } x L^−1 { 2/s − 1/s^3 }
On finding the inverse Laplace transform for the two terms using the Laplace transform table, we get, L^-1(2/s) = 2L^-1(1/s) = 2u(t)L^-1(1/s^3) = t^2/2
Therefore the given Laplace transform is,L^−1 { (2/s − 1/s^3) }^2= 2u(t) * 2u(t) − t^2/2= 4u(t) - t^2/2Hence, the answer is 4u(t) - t^2/2.
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PLEASE HURRY LIMITED TIME TEST QUESTION!!!!
Question Write the standard form equation of a circle given the center of (-7, -15) and an area of A = π. Show all work for your calculations using the equation editor.
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
What is the equation of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle and the location of the center of the circle be (h, k). Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The area of the circle is 9π. Then the radius of the circle is given as,
A = π
πr² = π
r² = 1
The center of the circle is at (-7, -15). Then the equation of the circle is given as,
(x + 7)² + (y + 15)² = 1
The equation of the circle into the standard form will be (x + 7)² + (y + 15)² = 1.
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What is the answer to 4a + 26 = 50 + 6a
Answer:
hi help me I'm new here with my latest question
Answer:
A=12
Step-by-step explanation:
Subtract -4a on both sides
you should get 26=50+2a
subtract 50 to both sides
you should get -24=2a
divide -24 by 2
Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation. Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales. Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.
The cost incurred by Rachael's restaurant as fixed, variable or mixed are given below.
What is restaurant?
A restaurant is a location where you can consume food while paying for it. In restaurants, a waiter or waitress will typically bring your food to your table. Breakfast, lunch, and dinner are all offered at the restaurant. The restaurant's food was delectable, and the waitstaff was courteous.
Given:
Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation.
Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales.
Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.
The cost incurred by Rachael's restaurant as fixed, variable or mixed are,
a. Advertisement c cost relative to number of customers Fixed
b. Rental cost relative to number of restaurant Variable
c. Cooks salaries relative to number of customer Fixed
d. Cost of Supplies (cups, plates, spoons, etc.) relative
to number of customer Variable
e. Manager's compensation relative to number of customer Mixed
f. Servers' salaries relative to number of Restaurants Variable
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Complete question:
Complete question is attached below.
An operating characteristic curve is based on a(n) ________ probability distribution. a. uniform b. normal c. exponential d. binomial
An operating characteristic curve is based on a(n) binomial distribution probability.
According to the statement
we have given that the an operating characteristic curve and we have to tell the name of the probability based on the this curve is called.
So, For this purpose, we know that the
The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.
And in this type of probability, it is given by a characteristics curve and The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated
So, this is called the binomial distribution probability.
So, An operating characteristic curve is based on a(n) binomial distribution probability.
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HELP ASAP Which points are on the graph of the function rule ƒ(x) = 10 – 4x?
a. (18, –2), (10, 0), (2, 2)
b. ( –18, 2), ( –10, 0), ( –2, –2)
c.(–2, 18), (0, 10), (2, 2)
d. (2, –18), (0, –10), ( –2, –2)
If f(x) = 10 - 4x...
f(18) = 10 - 4(18) = 10 - 72 = -62 ≠ -2
This rules out answer a, since (18,-62) would be a point, not (18,-2).
f(-18) = 10 - 4(-18) = 10 + 72 = 82 ≠ -2
This rules out answer b, since (-18,82) would be a point, not (-18,2).
f(-2) = 10 - 4(-2) = 10 + 8 = 18
Answer c seems to be ok so far, since (-2,18) is a point in answer c.
f(2) = 10 - 4(2) = 10 - 8 = 2 ≠ =18
This rules out answer d, since (2,2) would be a point, not (2,-18).
The only answer that wasn't ruled out by check the first point in each answer is answer C.
Complete the equation of the line through ( 6 , − 6 ) (6,−6)left parenthesis, 6, comma, minus, 6, right parenthesis and ( 8 , 8 ) (8,8)left parenthesis, 8, comma, 8, right parenthesis. Use exact numbers. Y = y=y, equals
The answer of the given question is y = 7x – 48. This is the result of the equation of the line through (6,−6) (6,−6) left parenthesis, 6, comma, minus, 6, right parenthesis and (8,8) (8,8) left parenthesis, 8, comma, 8, right parenthesis. This result is generated by using point-slope formula.
What is slope formula?
Slope formula is required to calculate the inclination of a line. For calculating the slope of a line, x and y coordinates of the points on the line are required. Ratio of change in y coordinates and change in x coordinates is called the slope of a line.
Slope (m) = change in y / change in x = Δy / Δx
Thus, in this case, the calculation as follows:
m = Δy / Δx
= 8 – (–6) / 8 – 6
= 14 / 2
= 7
Now, use the point-slope formula:
y – y1 = m (x – x1)
y – 8 = 7 (x – 8)
y = 7x – 56 + 8
y = 7x – 48
Hence, the result is y = 7x – 48.
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Answer:
y = 13/4x-21
Step-by-step explanation:
Khan Academy
When a number n is decreased by 7 and then the result is multiplied by 4, the product is equal to 88. Write an
equation and solve it to find the value of n.
Show work plsss
The equation is 4(n - 7) = 88 and the value of n is 29.
What is an Equation?An equation basically means a mathematical statement including variables and operator that shows that two expressions are equal. Any equation can be solved using PEMDAS rule. where P stands for Parenthesis, E stands for Exponents, D stand for Divide, M for Multiplication, A for Addition and S for Subtraction.
If the number n is decreased by 7, that means n - 7.
Then the result is multiplied by 4, so 4(n - 7).
The product is equal to 88, so the equation is,
4(n - 7) = 88
Now, solving the equation
4(n - 7) = 88
4n - 28 = 88
4n = 116
n = 29
Therefore, the equation is 4(n - 7) = 88 and the value of n is 29.
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due last weeeekk help!!!!
A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:
Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).
In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;
(x, y) → (y, -x)
Ordered pair B' (-2, 1) → E (1, 2)
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If two angles of a triangle measure 20 and 130 degrees, what is the measure of the third angle?
A.) 40°
B.) 50°
C.) 30°
D.) 60°
Answer:
c.) 30 degrees
Step-by-step explanation:
the sum of the angles of a triangle is 180 degrees
so if the third angle was x
then
x=180-(20+130)
x=180-150
x=30 degrees
The measure of third angle is 30 degree.
What is Angle Sum property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.
Given:
Two angles are 20 and 130.
Using Angle sum property of triangle
<1 + <2 + <3 = 180
20+ 130 + <3= 180
150 + <3 = 180
<3 = 180- 150
<3 = 30
Hence, the third angle is 30 degree.
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A swimming pool containing 5,000 gallons of water drains at a rate of 12 gallons per minute. How many gallons remain, y after x minutes?
Y=
Answer:
y= -12x + 5000
On a coordinate plane, 5 squares are shown. Square L M N P has points (negative 3, 1), (negative 1, 1), (negative 1, negative 1), (negative 3, negative 1). Square 1 has points (negative 6, 4), (negative 6, 6), (negative 4, 6), (negative 4, 6). Square 2 has points (negative 6, negative 4), (negative 6, negative 6), (negative 4, negative 4), (negative 4, negative 6). Square 3 has points (2, 2), (2, 4), (4, 4), (4, 2). Square 4 has points (2, negative 2), (4, negative 2), (4, negative 4), (2, negative 4).
Assume each figure shown has the same orientation. Which figure is the image of square LMNP after a translation of
(x, y) → (x + 5, y – 3)?
100pts
Answer:
hi baby its me nick this is my new account
Step-by-step explanation:
Write the interval as an inequality.
[-3, -1]
Write the interval as an inequality.
(Type an inequality using x as the variable.
Answer:
\(-3\leq x\leq -1\)
Step-by-step explanation:
the brackets denote that the values listed are included in the interval
x is greater than or equal to -3, and less than or equal to -1
Someone plzzz tell me this answer i am really stuck on this
Answer:
A
Step-by-step explanation:
Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by
2. sonia is planning on taking a trip and has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2. (a) how much will sonia spend on each category (airfare, accommodations, food)?
Sonia will spend $1600 on airfare , $ 1200 on accommodations and $ 800 on food .
What is division ?Multiplication is the polar opposite of division. If three groups of four add up to 12, then division of 12 into three groups of equal size yields four in each group.The basic objective of splitting is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.
Given that: She has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2.
She has allocated $3600 (in canadian dollars) to spend on airfare, accommodations, and food in a ratio of 4:3:2.
let the sonia spend x
4x + 3x +2x = $3600
9x = $3600
x=$400
On airfare sonia will spend 4 × $400 = $1600
On accommodations sonia will spend 3 × $400 =$1200
On food sonia will spend 2 × $400 = $800
Sonia will spend $1600 on airfare , $ 1200 on accommodations and $ 800 on food .
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Martina is putting money into a savings account. She starts with s350 in the
savings account, and each week she adds $30.
Let s represent the total amount of money in the savings account (in
dollars), and let w represent the number of weeks Martina has been adding
money. Write an equation relating s to w. Then use this equation to find the
total amount of money in the savings account after 17 weeks.
===================================================
Explanation:
w = number of weekss = amount of money in savingsShe starts off with $350 in savings. Then she adds on another $30 per week. After w of those weeks, she adds a total of 30w dollars. The w is just a placeholder for a number. For example, if w = 5, then 30*w = 30*5 = 150 dollars is added on top of the $350 already there.
Overall, the expression 30w+350 represents how much is in her savings after w weeks. Therefore, the equation Martina wants would be
s = 30w+350
----------------------
For the second part, we'll plug w = 17 into that equation to find s
s = 30w+350
s = 30*17+350
s = 510+350
s = 860
Martina has $860 in her account after 17 weeks.
Can someone help me with this please .
I’ll mark you as a brainliest.
Step-by-step explanation:
hey ya go, mate anyways I switched to PC and I find these yw