Find 3 consecutive odd integers whose sum is 225, explain please
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. ...?
Find the value of 3x + 2 when 7+ x = 5
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). ...?
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
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?
...?
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.
Where is the answer to the expression 3 − 6 located on a horizontal number line?
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
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]
What is the vertex of the parabola defined by the equation(x − 2)^2 = -12(y − 2)?
what two numbers add to 7 and multiply to 10
How do you prove the two triangles congruent?
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
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?
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.
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
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:
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
41 2/3 divided by 4 1/4
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
write 3 different improper fractions that equal 4 2/3
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 ...?
make x the subject 6x+a=5(x+t)
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.
Learn more about Rearranging equations here:https://brainly.com/question/10945620
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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
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.
To learn more on Inflation click here:
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Use implicit differentiation to find dy/dx.
ln xy + 5x = 30. Please write out the steps.
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)
y = 2 x^2 + 4 linear or non i think its linear
Identify the factors of x2 + 25y2. ...?
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.
A contestant on a game show is given $100 and is asked five questions. The contestant loses $20 every wrong answer.
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
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)
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).
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
Answer:
The answer is "4x - 3(8x +9) = -22."
Step-by-step explanation:
I just finished the test and got it right.
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?
The answer is B. He could increase the sample size.
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
help with secx/sinx-sinx/cosx