Translate the sentence into an equation.
Twice the difference of a number and 5 equals 3.
Use the variable x for the unknown number.
Answer:
I believe it's 2(x-5)=3
For the function f(x) = -2x² + 12, determine f(4).
A) -20
B) 48
C) 76
D) -52
Answer: A.-20
Step-by-step explanation:
f(4)=-2(4)^2+12
f(4)=-2(16)+12
f(4)=-32+12
f(4)=-20
The average amount of money held by each child in a group of 5 is $0.50. If one of the children loses a quarter, what is the new average of money held by each child
Answer:
$0.45.
Step-by-step explanation:
Total amount of money held by all 5 children
= 5 * 0.50 = $2.50.
After 0.25 is lost the total = $2.25.
So the new average = 2.25 / 5
= $0.45.
rewrite 7x 49 using a common factor. 7(x 7) 7(x 49) 7x(x 7) 7x(x 49)
The correct option is 7(x 7) by highest common factor.
The given expression is 7x49. We have to rewrite the given expression using a common factor.
To rewrite 7x 49 using a common factor, we can factor out 7.
7x49 can be written as 7 × x × 7 × 7.7x49 = 7 × x × 7 × 7
Therefore, the correct option is 7(x 7).
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What is the area of this quadrilateral?
Answer:
D
Step-by-step explanation:
9 8/12 + 5 1/6 pls help- I’m not the smartest
Answer:
:)
Step-by-step explanation:
Answer:
14 5/6
Step-by-step explanation:
See picture for explanation.
Mark me Brainliest?
just... I can't make promises, but almost to last question, 5 star and brailiest
Answer:
A= 1,0 B=0,-3 C=-6,5 D=-3,-5 E=-1,4
Step-by-step explanation:
you did it right. just got some numbers mixed up (remember x=axis before y-axis)
A teacher wants to compare the mean geology scores of two different classes. She is testing the null hypothesis that there is no difference in the population mean scores of the two classes. The difference of the sample means is 51. 4. If the standard deviation of the distribution of the difference of sample means is 16. 66, what is the 95% confidence interval for the population mean difference?.
I need ASAP 7r - 6 = 14
Answer:
\(r=\frac{20}{7}\)
On a road map, the distance from Green mount to Yorktowne is 2 inches. The map scale is
1 inch : 25 miles. How many miles is the actual distance between the two cities?
Mark only one oval.
A-12.5 miles
B-25 miles
D-50 miles
C-125 miles
Answer:
D
Step-by-step explanation:
yt = 2
the ratio is 1:25
2×25=50
Please help em fast I really need help
lf ƒ(x) = 2(x + 1)² and g(x) = 3x- 2 determine f[g(2)]
Answer:
f(g(2)) = 50
Step-by-step explanation:
evaluate g(2) then substitute the result obtained into f(x)
g(2) = 3(2) - 2 = 6 - 2 = 4 , then
f(4) = 2(4 + 1)² = 2(5)² = 2(25) = 50
Answer:
f[g(2)] = 50
Step-by-step explanation:
Given functions:
\(f(x)=2(x+1)^2\)
\(g(x)=3x-2\)
We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.
Step 1: Find the value of g(2) by substituting 2 for x in function g(x).
\(\implies g(2)=3(2)-2\)
\(\\\implies g(2)=6-2\Rightarrow g(2)=\boxed{4}\)
Step 2: Substitute the found value into the composite function.
\(\\\implies f[g(2)]= 2(4+1)^2\)
\(\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}\)
Hence, the value of the composite function f[g(2)] is 50.
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Please help me respond this
When the function f(x) = x^4 becomes f'(x) = x^4 + 5, the following happens: A. it moves 5 units upward.
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.Therefore, we have:
g(x) = f(x) + N
g(x) = f(x) + 5
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SEE QUESTION IN IMAGE
Answer:
b) 16.8 gStep-by-step explanation:
The modal group is 10-20, as it has the greatest frequency of 27.
Estimated mode is calculated by formula:
EM = L + (f(m) - f(m-1))/(f(m) - f(m-1) + f(m) - (f(m+1))*w,where
L- lower class boundary of the modal group =10 fm-1 - frequency of the group before the modal group = 10 fm - frequency of the modal group =27 fm+1 - frequency of the group after the modal group = 19 w - group width = 10Substitute values to get:
EM = 10 + (27 - 10)/(27 - 10 + 27 - 19)*10 = 16.8plz help me on this due soon
Answer:
add 4.3x to both sides of the equation
Step-by-step explanation:
A painter can paint 15 square feet every 1/4 hour. How many square feet can they paint in one hour?
A painter can paint 60 square feet every 1 hour.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A painter can paint 15 square feet every 1/4 hour.
Now,
Since, A painter can paint 15 square feet every 1/4 hour.
Let painter can paint in every 1 hour = x square feet
So, By definition of proportional as;
⇒ 15 / (1/4) = x / 1
Solve for x as;
⇒ 15 × 4 = x
⇒ x = 60 square feet
Thus, A painter can paint 60 square feet every 1 hour.
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an online clothing company sells custom sweatshirts. the company charged 4.99 for shipping plus 5.00 for each sweatshirt. write a linear rule that modesl the todal cost y in dollars for any number of sweatshirts x.
The linear function is 8.50x + 5.50 and a $5.50 delivery fee would be included in the price of each hoodie purchased.
Part 1
The linear function rule is used in cases with only one shipping charge.
= 8.50x + 5.50, where x is the number of sweatshirts and y is the total cost in dollars.
Part 2
The linear function rule would be y = 8.50x + 5.50x = 14x, where y is the total cost in dollars and x is the number of sweatshirts if the shipping fee is applied to each sweatshirt. This implies that the $5.50 delivery fee would be included in the price of each hoodie purchased.
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What is the volume?? 23pts
Answer:
96π mm^3
Step-by-step explanation:
πr^2*h = formula
π4^2*6 = 16π(6) = 96π mm^3
Answer:
\(\Longrightarrow: \boxed{\sf{96\pi }}\)
Step-by-step explanation:
You must use the volume of this cylinder formula to solve the volume of this cylinder.
Volume of this cylinder formula:
\(\Longrightarrow: \sf{\pi r^2*h}\)
R² =4²mmH (height) =6mm\(\Longrightarrow\sf{\pi 4^2*6}\)
Use the order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtractFirst, solve exponents.
4²=4*4=16
16*6
Multiply.
16*6=96
\(\Longrightarrow: \boxed{\sf{96\pi}}\)
Therefore, the correct answer is C. 96π.I hope this helps! Let me know if you have any questions.
You are facing north. You turn 45 degrees to your left. Take two steps forward. Turn 180 degrees. Turn 45 degrees to your right. Take one step back. Turn 90 degrees to your right. Which one of these statements is true?* You are facing the same direction you started. You are facing east. You are facing south. You are standing on the same spot you started out on. You are facing west.
Answer: Northeast - unless you are at the South Pole, in which case you are still facing North.
Step-by-step explanation
Sequence:
Facing North
90 degrees left = facing West
180 degrees right = facing East
reverse = facing West
45 degrees left = facing Southwest
reverse = facing Northeast
Which variable of time could cause a student’s GPA to increase?
a) sleeping
b) working
c) eating
d) studying
The correct answer is D.
The variable of time that could cause a student’s GPA to increase is studying.
A student’s grade point average (GPA) is a reflection of their academic performance, which is determined by their cumulative grades in classes and academic subjects over a period of time.GPA can be influenced by various factors, including how much time students dedicate to studying, the amount of effort they put in, and how effectively they utilize their study time. Therefore, if students dedicate more time to studying, their grades may improve, resulting in a higher GPA.For such more questions on GPA
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A diver is 18 feet below sea level. After he swims up 11 feet towards the surface, what is his elevation, written as an integer?
When I searched the answer up it gave me 279 or 197
Find the sum: 11 + 15 + 19 + .......+ 83
Answer: i dunno what '.......' was suppose to mean but 11 + 15 + 19 + 83 = 128
Step-by-step explanation: b more specific dood -_-
The sum of the arithmetic series is:
893
What are arithmetic progressions?
An arithmetic sequence with a specific number of terms is the sum of all the terms in an arithmetic series.
An arithmetic sequence's first n terms are added together to form (n/2).(a1+an). The arithmetic series formula is what it is known as.
Solution:
Given:
a1 = 11, a2 = 15 and an=83
Step-1:
d= a2 ₋ a1
d= 4
Now, an = a ₊ (n ₋ 1)d
83 = a ₊ (n ₋ 1)4
83 = 11 ₊ 4n ₋4
83 = 7 ₊ 4n
4n = 83 ₋ 7
n = 19
Step-2:
Now, Sn = n/2 (a1 ₊ an)
Sn = 19/2 (11 ₊ 83)
Sn = 19/2 ₓ 94
Sn = 893
Hence we get the answer as 893
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For the referenced datasets, locate the dataset in the Wooldridge/ISLR or MASS package and run a simple linear regression model in R and answer the following questions.
A. Locate the data within the package and find the definition of the variables in question.
B. What is the estimated simple regression function i.e. Y = B0 + B1*X
C. Interpret the slope coefficient.
D. Are the coefficients significant
E. What is the R-squared, how much percentage of variance in Y is explained by X.
1. Dataset 401K in Wooldridge, estimate the relationship between prate and mrate.
2. Dataset CEOSAL2 in Wooldridge, estimate the relationship between salary and ceoten.
3. Dataset SLEEP75 in Wooldridge, estimate the relationship between sleep and totwrk.
4. Dataset Boston in MASS, estimate the relationship between medv and lstat
5. Dataset Carseats in MASS, estimate the relationship between Sales and Advertising.
PS: Pay attention of case of the variable.
Choose a submission type
A. For Dataset 401K in Wooldridge, the data can be found in the "wooldridge" package. The variable in question is "prate" (participation rate) and "mrate" (matching rate).
The definitions of these variables can be obtained from the package documentation or by typing "?401K" in the R console.
B. To estimate the relationship between "prate" and "mrate" using simple linear regression, we can use the formula: mrate = B0 + B1 * prate. The estimated simple regression function would provide the values for the intercept (B0) and the slope coefficient (B1).
C. The slope coefficient in the simple linear regression model represents the change in the dependent variable (mrate) associated with a one-unit change in the independent variable (prate). In this case, the slope coefficient would indicate the change in the matching rate for each unit increase in the participation rate.
D. To determine if the coefficients are significant, we need to check their p-values. If the p-value is below a chosen significance level (e.g., 0.05), we can conclude that the coefficient is statistically significant. This indicates that the coefficient is unlikely to be zero, suggesting a meaningful relationship between the variables.
E. The R-squared (R²) value represents the proportion of variance in the dependent variable (mrate) that is explained by the independent variable (prate). It indicates the goodness of fit of the regression model. The R-squared value ranges from 0 to 1, with a higher value indicating a better fit and a larger percentage of variance explained by the independent variable.
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PLSSS HELP!! WILL GIVE BRAINLIEST!
Answer:
Although it's blurry, I believe y is equal to 3.
Step-by-step explanation:
You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.
Answer:
y = \(2 \frac{11}{12}\) gallonsStep-by-step explanation:
The water run at a constant speed with the slope of 5/12.
Slope-intercept form would be y = 5/12x.
So if we were to plug it in the equation,
y = 5/12 (7) = 35/12 or 2 11/12.
Hope this helps ;D
7. Simplify the following functions using the theorems of Boolean Algebra. Write the particular law or theorem you are using in each step. f(x,y) = xy + xy' b. f(x, y) = (x+y)(x+y') c. f(x, y, z) = y':+x'yz + xyz d. f(x, y, z)=(x+y)(x'+y+z)(x+y+z') e. f(w,x, y, )= x + xyz +x' y2 +x'y+wx +wx'
The simplified forms of the given functions using Boolean Algebra are as follows:
a. The function f(x, y) simplifies to xy.
b. The function f(x, y) simplifies to x.
c. The function f(x, y, z) simplifies to y' + xz.
d. The function f(x, y, z) simplifies to (x + y).
e. The function f(w, x, y) simplifies to x + xyz + x'y + wx.
How can we simplify the given functions using Boolean Algebra?To simplify the given functions using Boolean Algebra, we apply different rules and principles of Boolean Algebra to simplify the expressions. Each function is simplified by applying specific laws and theorems.
The simplified forms are obtained by simplifying the terms and combining like terms using Boolean Algebra principles.
Learn more about: Boolean Algebra
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Bo's family and Lana's family each ate some pizza for dinner.Which statement correctly compares the fractions of each pizza that were eaten?
The question is incomplete
Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.
17, 7, 13, 17, 7, 9, 10
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answer:
11
Step-by-step explanation:
Answer:
11.4 (This is already rounded to the nearest tenth)
Step-by-step explanation
1.) Add all of them
17+7+13+17+7+9+10=80
2.) Divide the sum by how many numbers there are
In this case, there are 7, so 80/7 is 11.42...
3.) Get the answer
80.7 simplifies into 11.42 so rounded to the nearest 10th is 11.4.
Hope this helped. Good luck on your homework!
a box contains six green balls five red balls and eigth yellow balls how many ways are there of choosing ten balls from the bopx if the number of green balls chosen must be even
The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways
To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.
First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.
Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.
The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.
Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:
(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)
Simplifying this expression gives a total of 15,946 ways.
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Part A: Graph the system of equations {−2x+y=6x−y=1
Part B: Determine the solution from Part A.
Answer:
Step-by-step explanation:
An important math tool is graphing. It can be a straightforward method for introducing more general concepts like most and least, greater than, or less than. It can also be a great way to get your child interested in math and get them excited about it. Using graphs and charts, you can break down a lot of information into easy-to-understand formats that quickly and clearly convey key points.
Given equation 2x + y = 6 we can drive from this equation that at x = 0 y will be 6 and y =0 x will be 3 hence we have two points of the line (0,6) and (3,0)
From the Given equation (2) 6X + 3Y = 12 we can drive from this equation that at x = 0 y will be 4 and y =0 x will be 2 hence we have two points of the line (0,4) and (2,0).
HELP ME WITH THESE ASAP!
Rewrite each expression by combining terms.
a. 9tq - 15tq
b. 13p - 4p + 6q
c. 5a - 2(4a - 1) + 6(4a - 1)
d. 7(3c + 2) - 9(3c + 2) + 2c
From the given expression above we get {a) 9tq - 15tq = - 6t
What is an expression?There are numerous branches of mathematics. The discipline of arithmetic deals with numbers and mathematical procedures. Math taught us how to add, subtract, multiply, and divide two or more numbers.
Shapes are the main focus of geometry, which involves creating them with various instruments including a compass, ruler, and pencil. Another fascinating area of study is algebra, in which we use numbers and letters to represent situations from daily life.
Every mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
a) 9tq - 15tq = -6tq
b) 13p - 4p + 6q = 9p + 6q
c. 5a - 2(4a - 1) + 6(4a - 1)
= 5a - 8a + 2 + 24a - 6 = 21a - 4
d. 7(3c + 2) - 9(3c + 2) + 2c
= 21c + 14 - 27c - 18 + 2c = -4c - 4
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What is the simple interest paid if $900 principal 6% interest rate for 2 year
Simple Interest is the method of finding the interest amount for a particular principal amount of money at a particular rate of interest.
The simple interest for $900 at an interest rate of 6% is $108.
What is simple interest?Simple Interest is the method of finding the interest amount for a particular principal amount of money at a particular rate of interest.
We have,
Principal = $900
Rate of interest = 6%
Time = 2 years.
Remember that time should always be in years.
The formula for simple interest is given by:
SI = PRT / 100
Where,
P = principal
R = rate of interest
T = Number of years
So,
SI = 900 x 6 x 2 / 100
SI = $108
Thus the simple interest for $900 at an interest rate of 6% is $108.
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