Answer:
-28x^4y^6
Step-by-step explanation:
Given are two terms as
[tex]-4x^3y^2[/tex] and
[tex]7xy^4[/tex]
To find the product
we group like terms and find their product
Here we have -4 and 7 for coefficients : Product =-28
x terms are x^3 and x hence product = x^(1+3) =x^4
y terms are y^2 and y^4 hence product = y^(2+4) = y^6
Hence product is
[tex]-28x^4y^6[/tex]
Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $12.50 per hour at her job, and Jack is paid $10 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $750 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?
Answer:
20
Step-by-step explanation:
just did it on study island
7p + 20 – 13q – 4q – 18 + 6p
A.
13p + 17q – 2
B.
13p – 17q + 2
C.
3q + 38
D.
3q – 6
Answer:
c i just took it
Step-by-step explanation:
The given expression simplifies to B. 13p - 17q + 2 by combining like terms.
The given expression that requires simplification is 7p + 20 - 13q - 4q - 18 + 6p. To simplify an algebraic expression, combine like terms, which are terms that contain the same variable raised to the same power. In this case, we combine the terms with p and the terms with q, as well as the constant terms separately.
First, combine the terms with p: 7p + 6p equals 13p.
Second, combine the terms with q: -13q - 4q combines to -17q.
Lastly, combine the constant terms: 20 - 18 equals 2.
Putting it all together, the simplified expression is 13p - 17q + 2, which corresponds to option B.
230 is equal to _____.
solution:
230 degree is 50 degrees past 180 degrees into the third quadrant where both sin and cos are negative.
Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression? (3 – 7x)(x2 – 3) (7x – 3)(3 + x2) (3 – 7x2)(x – 3) (7x2 – 3)(3 + x)
You have $1,998.00 on a credit card with a 14.5% APR. You miss your minimum payment the first month and there is a late fee of $37.00. How much is your balance at the beginning of the second month?
The answer is:
$2,059.14
explain how a table cn be used to find the rate of change?
A tiger in captivity is fed 13.5 pounds of food an elephant in captivity eats per day. Compare the function by comparing their rates of change.
4.5x-7=20 i need help whats the answer
A stuntman jumps from a rooftop 315 ft off the ground. how long will it take him, falling freely, to reach the ground? (use the formula s = 16t2.)
The stuntman will take approximately 3.98 seconds to reach the ground when falling freely from a rooftop 315 ft high.
To calculate the time it takes for the stuntman to reach the ground when falling freely:
Given s = 315 ft and using the formula s = 16t^2, where s represents the distance and t represents time.Plug in the value of s into the formula: 315 = 16t^2.Solve for t by isolating the variable: t = sqrt(315/16) ≈ 3.98 seconds.What is the area of a sector with a central angle of 3π5 radians and a diameter of 21.2 cm?
Use 3.14 for π and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
cm²
The vertices of triangle jkl are j(-2,1), k(2,-3), and l(2 2). The triangle is reflected over the line y=x. Graph triangle jkl and triangle j’k’l’.
The table lists the test scores William and Andre received on five math assessments William's scores 89 97 78 81 91 Andre's score 90 74 73 87 82
Which statement best describes the difference of the mean of the two sets?
A)It is equal to about 0.5 times the mean absolute deviation of either data set. B)It is equal to about 1 times the mean absolute deviation of either data set. C)It is equal to about 1.5 times the mean absolute deviation of either data set. D)It is equal to about 2 times the mean absolute deviation of either data set.
PLEASE HELP!!!! NEED NOW!!! 20 pts
Explain how the Quotient of Powers was used to simplify this expression.
2 to the 5th power, over 8 = 2 to the 2nd power
By finding the quotient of the bases to be one fourth, and cancelling common factors
By finding the quotient of the bases to be one fourth, and simplifying the expression
By simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents
By simplifying 8 to 2^3 to make both powers base two, and adding the exponents
Suppose you travel at 60 mph for 222 miles. How many hours will it take you to reach your destination?
A.) 4.3 hours
B.) 4.5 hours
C.) 3.7 hours
D.) 1.05 hours
PLEASE HELP
what is the value of x in the diagram?
a. 15
b. 5 2/5
c. 19
d. 3/5
Answer: The answer is (a) 15.
Step-by-step explanation: We are given a figure with two similar triangles with sides of lengths x, 15 and corresponding sides of lengths 15 and 25 respectively.
Since the given triangles are similar, so their sides will be proportional.
Therefore, we have
[tex]\dfrac{x}{9}=\dfrac{25}{15}\\\\\\\Rightarrow \dfrac{x}{9}=\dfrac{5}{3}\\\\\\\Rightarrow x=\dfrac{5\times 9}{3}\\\\\Rightarrow x=15.[/tex]
Thus, the value of x is 15.
Choose as many answers as apply. Which of the following are sources of income? salary deductions part-time work odd jobs wishful thinking
Answer:
salary . part time work . odd jobs.
Step-by-step explanation:
Please if some one can help help ! Thank you !!
Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Ishaan now?
1. SCHOOL PLAY Marika and her three friends attended the school play. Tickets cost $5.75 each, and Marika paid for everyone. Find the totał cost of the tickets. Justify your answer by using the Distributive Property
Divide 9x^2-21x-20 by x-1
The number 1,054 is:
A. < 1,045
B. = 1,045
C. > 1,045
D. None of the choices are correct.
For which interval is the function constant?
(0, 2)
(−∞, −6)
(2, ∞)
(−6, 0)
Answer:
(−6, 0)
Step-by-step explanation:
The section where the function is constant is where it is horizontal. This is from x = -6 to x = 0; in interval notation, this is (-6, 0).
A function assigns the value of each element of one set to the other specific element of another set. The function is constant in the interval (-6 to 0).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function is known to be constant if the value of one of the variables is not changing the value of the other.
In the function as we can see that the value of y is not changing with the change in the value of x between x=-6 to 0, therefore, the function is constant in the interval (-6 to 0).
Learn more about Function:
https://brainly.com/question/5245372
HELP I WILL FAN AND MEDAL
Which of the following statements about special angle relationships is not correct?
A. It is possible for angles to be both vertical and complementary.
B. It is possible for an obtuse angle to have both a complement and a supplement.
C. It is possible for an acute angle to have both a complement and a supplement.
D. It is possible for angles to be both congruent and supplementary
Answer:
B.) It is possible for an obtuse angle to have both a complement and a supplement.
Step-by-step explanation:
Rules for an obtuse angle:
It cannot be smaller than or be 90°It can not be bigger than or be 180°To create a complementary or supplementary angle, you can use 2 angles and no more than 2.
Say we used an obtuse angle (like the one in the picture below), since an obtuse angle can not be or be greater than 90°, an obtuse angle can not be complementary.
We can not fit 2 obtuse angles at 180°, because of that, an obtuse angle(s) can not create a supplementary angle.
Therefore, B would be the correct answer.
-kiniwih426
Match the statements
1. m<2 = 122° and m<3 = 58°
If corresponding angles are equal, then lines are parallel.
2. 3 and 5 are supplementary angles
Exterior Sides in Opposite Rays
3. m<3 + m<5 = 180°
Given
4. 58° + m<5 = 180°
Second Substitution
5. m<5 = 122°
Definition of Supplementary Angles
6. m<2 = m5
First Substitution
7. l || m
Subtraction Property of Equality
1. m<2 = 122° and m<3 = 58° - C. Given
2. 3 and 5 are supplementary angles - E. Definition of Supplementary Angles
3. m<3 + m<5 = 180° - D. Second Substitution
4. 58° + m<5 = 180° - F. First Substitution
5. m<5 = 122° - G. Subtraction Property of Equality
6. m<2 = m5 - A. If corresponding angles are equal, then lines are parallel
7. l || m - B. Exterior Sides in Opposite Rays
The given geometry statements are matched with appropriate geometric principles, such as the definition of supplementary angles, substitution properties, and theorems related to parallel lines and angles.
To match the statements given with the correct reasons, we need to analyze the relationships between angles and understand the geometric principles involved.
Here are the matches:
1. m<2 = 122° and m<3 = 58° - C. Given
2. 3 and 5 are supplementary angles - E. Definition of Supplementary Angles
3. m<3 + m<5 = 180° - D. Second Substitution
4. 58° + m<5 = 180° - F. First Substitution
5. m<5 = 122° - G. Subtraction Property of Equality
6. m<2 = m5 - A. If corresponding angles are equal, then lines are parallel
7. l || m - B. Exterior Sides in Opposite Rays
The probable question may be:
Match the statements
1. m<2 = 122° and m<3 = 58°
2. 3 and 5 are supplementary angles
3. m<3 + m<5 = 180°
4. 58° + m<5 = 180°
5. m<5 = 122°
6. m<2 = m5
7. l || m
A. If corresponding angles are equal, then lines are parallel.
B. Exterior Sides in Opposite Rays
C. Given
D. Second Substitution
E. Definition of Supplementary Angles
F. First Substitution
G. Subtraction Property of Equality
Which is more 3 liters or 2997 millilliters
Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the z score of a car that is 6 years old?
Answer:
-0.625 is right
Step-by-step explanation:
:3 i did the test
Name the property the equation illustrates.
A) Commutative Property of Addition
B) Inverse Property of Multiplication
C) Commutative Property of Multiplication
D) Associative Property of Addition
I have attached a picture of a question I am stuck on. It is about Riemann sums. I have attempted the question but did not get the correct answer :( Here is my work:
I see that this graph has the same area repeating 12 times.
I did (b - a)/n, or (12 - 0)/36, and found that the width of each rectangle should be 1/3. Because we are asked to find the area using "circumscribed angles," I will use right-endpoint rectangles on the first part of the graph that shows a decreasing interval from 0 to 1:
t = 1/3, r(t) = 2.01745506
t = 2/3, r(t) = 2
t = 1, r(t) = 1.45369751
These values for r(t) represent heights of the rectangles. I can add them and multiply by the width of each rectangle:
1/3(2.01745506 + 2 + 1.45369751) = 1/3(5.47115257) = 1.823717523
I can multiply the area by 12 to find the area under the entire function:
1.823717523 * 12 = 21.88461028
This is not an answer choice, so I clearly did something wrong! Can someone help me find my mistake?
One liter is approximately 1.06 quarts. Write a direct variation equation that relates x liters to y quarts. what is an equation
Identify the vertical asymptote(s) of each function. Check all of the boxes that apply. f(x)=x-8/x^2-3x+2
x = -8
x = -2
x = -1
x = 1
x = 2
x = 8
Nevermind the answer was x=1 and x=2. If anyone is wondering how to do it you can put the denominator in desmos and where the 2 points hit the x axis is your answer.
Answer:
x=1 and x=2
Step-by-step explanation: