Simplify.
1/4+4(1/2−3/4)^2
Answers
Related Questions
Find the value of 3x + 2 when 7+ x = 5
Answers
x= 5-7
x= -2
3.(-2)+2
-6+2
-4
The top of a square box has an area of 121 cm2. What is the length of one side of the box? A) 9.0 cm B) 11.0 cm C) 15.125 cm D) 30.25 cm
Answers
Find the minimum, maximum, range, mean, and median for the data set.
2.4, 2.6, 7.2, 5.5, 4.1, 5.5, 6.1, 6.1
A.
minimum: 2.4
maximum: 7.2
range: 4.8
mean: 5.5
median: 4.9
B.
minimum: 2.4
maximum: 7.2
range: 9.6
mean: 4.9
median: 5.5
C.
minimum: 7.2
maximum: 2.4
range: 4.8
mean: 4.9
median: 5.5
D.
minimum: 2.4
maximum: 7.2
range: 4.8
mean: 4.9
median: 5.5
Answers
A bedroom set lists for $12,000 and carries a trade discount of 30 percent. Freight (FOB shipping point) of $150 is not part of list price. Calculate the delivered price of the bedroom set including the freight. Assume a cash discount of 2 percent:
Answers
$12,000 - $3,600 = $8,400
With a cash discount:
$8,400 * 0.98 = $8,232
Including the freight:
$8,232 + $150= $8,382
Answer:
The delivered price is $8,382.
Where is the answer to the expression 3 − 6 located on a horizontal number line?
Answers
Identify the factors of x2 + 25y2. ...?
Answers
Answer:
(x-5y)^2 or (x-5y)(x-5y).
Step-by-step explanation:
hope this helps have a nice day! :D
Final answer:
To find the factors of x² + 25y², use the properties of complex numbers like i² = -1. The factors are (x + 5yi)(x - 5yi), representing complex conjugates.
Explanation:
The factors of x² + 25y² are (x + 5yi)(x - 5yi).
To factorize the expression, we use the fact that i² = -1, so we can rewrite 25y² as (5y)²
By factoring this expression, we can see that it represents a sum of two squares in the form of complex conjugates.
Which of the expressions are not polynomials? Check all that apply.
A. 8x^10 + 2x^5
B. 5x^-1 + 4x^-2
C. x^5 + 2
D. 5x^5
E. x2 +(square root of x) + 4
F. x^2-(square root of x ) -3 ...?
Answers
B. 5x^-1 + 4x^-2
E. x2 +(square root of x) + 4
F. x^2-(square root of x ) -3
(Method: check polynomials lesson)
A box has dimensions of 17 inches long, 1.3 feet wide, and 8 inches high. What is the volume of the box? The formula for the volume is V = l w h. (1 point)
2121.6 cubic inches (in3)
176.8 cubic inches (in3)
14.7 cubic inches (in3)
1.2 cubic inches (in3)
Answers
To find the volume of the box, convert all units to inches, then apply the formula for the volume of a rectangular prism, resulting in 2,121.6 cubic inches.
Explanation:To calculate the volume of the box with dimensions given in inches and feet, we first need to convert all units to the same system. Since the width is given in feet (1.3 feet), we convert it to inches knowing that 1 foot equals 12 inches. Thus, 1.3 feet is equal to 1.3 × 12 = 15.6 inches.
To find the volume of the box, you need to multiply the length, width, and height together:
Convert the dimensions to a consistent unit, such as inches.
Calculate: 17 inches x 1.3 feet x 8 inches = 176.8 cubic inches.
Therefore, the volume of the box is 176.8 cubic inches (in3).
Now, with all dimensions in inches: the length is 17 inches, the width is 15.6 inches, and the height is 8 inches. Applying the formula for the volume of a rectangular prism, V = l × w × h, we get:
V = 17 inches × 15.6 inches × 8 inches = 2,121.6 cubic inches.
Therefore, the correct option is 2121.6 cubic inches (in3).
What is the vertex of the parabola defined by the equation(x − 2)^2 = -12(y − 2)?
Answers
(x^2-4x-20)/-12=y
quadratic => vertex is (-b/2a,f (-b/2a))
Note it is a minimum since coefficient a is positive
A contestant on a game show is given $100 and is asked five questions. The contestant loses $20 every wrong answer.
Answers
Hello!
If you do not know 1 question;
100-20=80
If you do not know 2 question;
20+20=40 100-40=60
If you do not know 3 question;
20+20+20=60 100-60=40
If you do not know 4 question;
20+20+20+20=80 100-80=20
If you do not know 5 question;
20+20+20+20+20=100 100-100=0
make x the subject 6x+a=5(x+t)
Answers
6x+a=5x+5t
a=-x+5t
-x=a-5t
x=5t-a
To make x the subject of the equation, you can rearrange the equation x = 5t - a.
Explanation:To make x the subject of the equation, we need to isolate the variable on one side of the equation. Here's how:
Distribute 5 to both x and t: 6x + a = 5x + 5tSubtract 5x from both sides: 6x - 5x + a = 5tCombine like terms: x + a = 5tSubtract a from both sides: x + a - a = 5t - aCancel out a: x = 5t - aTherefore, to make x the subject, the equation is x = 5t - a.
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How do you prove the two triangles congruent?
Answers
1.SSS (side, side, side) SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. ...
2.SAS (side, angle, side) ...
3.ASA (angle, side, angle) ...
4.AAS (angle, angle, side) ...
5.HL (hypotenuse, leg)
what two numbers add to 7 and multiply to 10
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David wants to complete a hypothesis test with the least amount of probability for error. if he sets the significance level to 1%, assuming his sample is truly random, what else could he adjust in the test in order to reduce error?
Answers
Below are the choices:
A.He could change the population mean.
B.He could increase the sample size.
C.He could change the population standard deviation.
D.He could decrease the sample size.
The answer is C.
The answer is B. He could increase the sample size.
Suppose R is a symmetric and transitive relation on a set A, and there is an element a in A for which aRx for every x in A. Prove that R is reflexive. ...?
Answers
let b∈A
then, aRb
and by symmetry, bRa
and by transitivity,bRa,aRb⇒bRb
Hope this is the answer that you are looking for.
Thank you for posting your question here in brainly.
A baseball bat manufacturing company needs to meet a daily target of producing 600 bats to 3,000 bats.
A single worker can complete 15 bats per day. The time taken to meet the daily target is inversely proportional to the number of workers. If t is the total time and n is the number of workers, then the function is represented by t(n)=k/n . Determine an appropriate domain to represent this function.
A. n<=15
B. n>=15
C. 600<=n<=3000
D. 40<=n<=200
Answers
Given the two equations below, determine which statement best describes the graph of the equations.
y=1/2x-3
y=-2x+16
Select answer A The two lines given by the above equations are perpendicular. Select answer
B The two lines given by the above equations coincide. Select answer
C The two lines given by the above equations are parallel.
D The two lines given by the above equations intersect (but are not perpendicular). ...?
Answers
The two lines given by the above equations intersect (but are not perpendicular) is the best description of the two graphs.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer: Option A.
Step-by-step explanation:
The lines that we have is:
y = (1/2)x - 3
y = -2x + 16
Now, two lines of the shape y1 = a1*x + b1 and y2 = a2*x + b2 are parallel if both lines have the same slope, this means that a1 = a2.
Those lines are perpendicular if a1 = -1/a2
now, the slope in the first equation is (1/2) and in the second equation is -2.
so a1 = 1/2
-1/a1 = -(2) = a2
so the two lines are perpendicular, the correct option is A
Mr. Thom makes $25,900/year salary as a document processor. He has made the following chart in order to divide his weekly paycheck into his accounts: Expense type Account Weekly deposits Essential (Fixed) 1st Checking account $219 Essential (Variable) 1st Checking account $115 Non-essential 2nd Checking account $40 Other (Unexpected) Emergency savings account $20 Other (Predictable) Education investment fund $10 Other (Predictable) Retirement investment fund $40 Other (Predictable) Emergency savings account $15 Total paycheck $498 Unfortunately, he has made a mistake in adding the numbers and has not allocated all of the paycheck. If he deposits the difference into the two emergency savings accounts, how much total per week can he then put towards emergency savings?
Answers
Answer:
C. 74
Step-by-step explanation:
NOTICE: Edge loves moving things around SO IT MIGHT NOT BE C FOR YOU But its fore sure 74
Final answer:
Mr. Thom can put $59 per week towards emergency savings.
Explanation:
To find the total amount that Mr. Thom can put towards emergency savings per week, we need to calculate the difference between his total paycheck and the sum of his weekly deposits into the other accounts. From the given information, his total paycheck is $498, and the sum of his weekly deposits into the other accounts is $219 + $115 + $40 + $10 + $40 + $15 = $439. We can subtract the sum of the weekly deposits from the total paycheck to find the difference, which is $498 - $439 = $59. This is the amount that Mr. Thom can put towards emergency savings per week.
Use implicit differentiation to find dy/dx.
ln xy + 5x = 30. Please write out the steps.
Answers
Final answer:
To find dy/dx using implicit differentiation, differentiate both sides of the equation with respect to x. Then apply the chain rule and simplify.
Explanation:
To find dy/dx using implicit differentiation, we first differentiate both sides of the equation with respect to x. Let's go through the steps:
ln(xy) + 5x = 30Differentiate both sides with respect to x:d/dx[ln(xy) + 5x] = d/dx[30]Apply the chain rule to differentiate ln(xy):(1/xy) * (x(dy/dx) + y) + 5 = 0Simplify the equation:x(dy/dx) + y + 5xy(dy/dx) = 0Collect terms with dy/dx:dy/dx = -(y + 5xy)/(x + 5xy)
2. Alice Hall, who loves to cook, makes an apple cake (serves 6) for her family. The recipe calls for 2 1/2 pounds of apples, 2 1/4 cups of flour, 1/5 cup of margarine, 1 1/4 cups of sugar and 4 eggs. Since guests are coming, she would like to make this cake so it will serve 24. How many pounds of apples should she use?
...?
Answers
24--->x
x=24*2 1/2/6=4*2 1/2=4*5/2=10 pounds of apples
Answer:
10 pounds
Step-by-step explanation:
We are given that Alice hall makes an apple cake (serves 6) for her family
Apples=[tex]2\frac{1}{2}=\frac{5}{2}[/tex]pounds
Flour=[tex]2\frac{1}{4}=\frac{9}{4}[/tex] cups
Margarine=[tex]\frac{1}{4}[/tex] cups
Sugar=[tex]1\frac{1}{4}=\frac{5}{4}[/tex] cups
Eggs=4
For 6 persons , apples required =[tex]\frac{5}{2}[/tex] pounds
For 24 persons=[tex]\frac{\frac{5}{2}}{6}\times 24[/tex]
For 24 persons=[tex]\frac{5}{12}\times 24=10[/tex] pounds
Hence, she should use 10 pounds of apples.
41 2/3 divided by 4 1/4
Answers
help with secx/sinx-sinx/cosx
Answers
1/cos(x)sin(x) - sin(x)/cos(x)
(1 - sin²(x))/[sin(x)cos(x)]
cos²(x) / sin(x)cos(x)
cos(x)/sin(x)
cot(x)
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.
8x – y = –9
4x – 3y = –22
4x – 3(–8x – 9) = –22
4x – 3(8x + 9) = –22
4(8x + 9) – 3y = –22
4(–8x – 9) – 3y = –22
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation.
8x – y = –9
4x – 3y = –22
4x – 3(–8x – 9) = –22
4x – 3(8x + 9) = –22
4(8x + 9) – 3y = –22
4(–8x – 9) – 3y = –22
Answers
If we are to use substitution method in order to solve the following system, the new equation would be 4x – 3(8x + 9) = –22, the answer is the second option.
Here is how I got the answer.
Let's take 8x - y = -22
So y = 8x + 22
Now, substitute the value of y to 4x – 3y = –22
and we get 4x - 3(8x +9) = -22.
Hope this answer helps.
Answer:
The answer is "4x - 3(8x +9) = -22."
Step-by-step explanation:
I just finished the test and got it right.
write 3 different improper fractions that equal 4 2/3
Answers
28/6
56/12
there ya go. =)
Which of the following has a graph that is a straight line?
Equation 1: y = 2x + 7
Equation 2: y2 = x − 1
Equation 3: y = 2x2 + 4
Equation 4: y = 3x3
Answers
y = 2 x^2 + 4 linear or non i think its linear
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A school system is reducing the amount of dumpster loads of trash removed each week. In week 5, there were 45 dumpster loads of waste removed. In week 10, there were 30 dumpster loads removed. Assume that the reduction in the amount of waste each week is linear. Write an equation in function form to show the amount of trash removed each week.
f(x) = - 3x + 45
f(x) = 3x + 45
f(x) = - 3x + 60
f(x) = 3x + 60
Answers
The correct answer is:
[tex]\[\boxed{f(x) = -3x + 60}\][/tex]
To find the linear equation representing the amount of trash removed each week, we need to determine the slope and the y-intercept.
Given:
- In week 5, there were 45 dumpster loads.
- In week 10, there were 30 dumpster loads.
Step 1: Calculate the Slope
The slope m of a line is calculated by:
[tex]\[m = \frac{y_2 - y_1}{x_2 - x_1}\][/tex]
Here,[tex]\((x_1, y_1) = (5, 45)\) and \((x_2, y_2) = (10, 30)\).[/tex]
[tex]\[m = \frac{30 - 45}{10 - 5} = \frac{-15}{5} = -3\][/tex]
Step 2: Write the Equation in Point-Slope Form
Using the point-slope form of the equation [tex]\( y - y_1 = m(x - x_1) \):[/tex]
[tex]\[y - 45 = -3(x - 5)\][/tex]
Step 3: Convert to Slope-Intercept Form [tex]( \( y = mx + b \) )[/tex]
Simplify the equation:
[tex]\[y - 45 = -3(x - 5)\][/tex]
[tex]\[y - 45 = -3x + 15\]\[y = -3x + 15 + 45\]\[y = -3x + 60\][/tex]
Thus, the equation in function form that shows the amount of trash removed each week is:
[tex]\[f(x) = -3x + 60\][/tex]
Therefore, the correct answer is:
[tex]\[\boxed{f(x) = -3x + 60}\][/tex]
Rewrite the fractions with their LCD.
(1)/(3x-9y),(6)/(5x-15y)
A.
2/8x-21y and 2/8x-21y
B.
5(x-3y)/15(x-3y) and 18(x-3y)/15(x-3y)^2
C.
5/15(x-3y) and 18/15(x-3y)
D.
5/15x-135y and 18/15x-135y
Answers
Which of these can be a result of inflation?
Businesses grow cautious about spending
The government has to cut spending
The price of household items increases
Workers benefit from a lower cost of living
Answers
Among the choices the one that can be a result of inflation is The price of household items increases
The price of household items increases is a result of inflation, option C is correct.
Inflation typically leads to a general rise in prices across the economy.
As the value of money decreases, it takes more money to purchase the same goods and services.
Therefore, the prices of household items, along with other consumer goods, tend to increase during periods of inflation.
However, it's important to note that inflation does not affect all goods and services uniformly.
Some prices may rise more rapidly than others, leading to changes in relative prices.
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Find 3 consecutive odd integers whose sum is 225, explain please
Answers
Three consecutive odd integers add up to 225. This means the middle of the three numbers is one third of 225.
225/3=75
The middle number is 75. The other two numbers are 74 and 76.
Three consecutive integers whose sum is 225 are 74, 75, and 76.
do it like this
(x-2)+x+(x+2)=225
add it all up
3x=225
x=75
so, 75-2=73
and 75+2=77 so, 73,75,77 is the answer