The simplified expression in the context of this problem is given as follows:
C. -5yz².
What are like terms?Like terms are terms that share these two features listed as follows:
Same letters. (algebraic variables).Same exponents.If terms are like terms, then they can be either added or subtracted.
The expression for this problem is given as follows:
4yz²- 5yz² + 7yz² - 5yz² + yz² - 4yz² - 3yz².
The sum of the coefficients is given as follows:
4 - 5 + 7 - 5 + 1 - 4 - 3 = -5.
Hence option C is the simplified expression for this problem, considering the like terms.
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The absolute value of x=5
The absolute value of x=5 is 5.
How to determine the absolute valueThe absolute value of a number is its positive equivalent of the number
For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.
Generally, it is denoted by the symbol |x|.
So, we have
The absolute value of x=5
This gives
x = |5|
Evaluate
x = 5
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Graph the line with slope of 5/3 and goes through the point (2, 1).
Answer:
Point 1: (2, 1)
Point 2: (5, 6)
Step-by-step explanation:
In order to graph the line, we need to know where to start. Luckily, we have our first point given. (2, 1)
Point 1: (2, 1)
A trick I know to find point 2 is:
1. rise up the y-axis by 5 points then move to the right 3
or
2. (2, 1)
+ (3, 5)
----------
Point 2: (5, 6)
I hope this helps!
Answer:
y= 5/3x + -7/3
Step-by-step explanation:
plug in the values into y-mx+b
1=5/3 (2) + b
solve for b
The distance between two cities is 180 km. The distance was
covered by a car at a rate of 50 km/h, by a bus at 45 km/h, by a
truck at 40 km/h, and a by a bicycle at 25 km/h. What is the constant of
variation?
Answer:
Step-by-step explanation:
he distance between two cities is 180 km.
Speed = distance/time
v = s/t from this we can calculate for time
Time = distance /speed
This distance was covered by a car at a rate of 50 km/h
Time taken by the car to cover this distance of 180km
= 180/50 = 3.6 hours
This distance was covered by a bus at 45 km/h
Time taken by the bus to cover this distance of 180km
= 180/45 = 4 hours
This distance was covered by a truck at 40 km/h
Time taken by the truck to cover this distance of 180km
= 180/40 = 4.5 hours
This distance was covered by a bicycle at 25 km/h
Time taken by the truck to cover this distance of 180km
= 180/25 = 7.2 hours
Therefore:
speed and time are directly proportional.
Speed, s is inversely proportional to time, t
xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation
Introducing constant of variation, k
s = k/t
When s = 25, t = 7.2
25 = k/7.2
k = 7.2× 25 = 180
So
s = 180/k
a square $abcd$ has an area of $4.$ the square is then dilated with a scale factor of $x,$ producing a square $a'b'c'd'$ of area $9.$ find the sum of all possible values of $x.$
The possible scales factors of the given dilation transformation are 3/2 and -3/2. Hence, their sum is zero.
A dilation is a transformation that results in an image with the same shape as the original but a different size.
In a dilation transformation, a negative scale factor enlargement will cause the enlargement to appear on the opposite side of the enlargement's center and will be inverted (upside down). The size of the shape will also alter depending on the degree of the enlargement.
The areas are scaled by 9/4
Since, the area of a square is the square of its side, then scale factor is:
Scale factor = ±√(9/4) = ± 3/2
Hence, the possible values are positive scale factor: 3/2 and negative scale factor = -3/2.
Their sum is: 3/2 + (-3/2) = 0
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If (6 ki)² = 27-36i, the value of k is
Answer: k = √27-i
Step-by-step explanation:
Find the area bounded by the parametric curve x=cost,y=et;0≤t≤π/2, and the lines y=1andx=0
The given parametric curve x=cost, y=et; 0≤t≤π/2, intersects the line y=1 at t=0, and intersects the line x=0 at t=π/2. Therefore, we need to find the area bounded by the curve and the lines y=1 and x=0, between t=0 and t=π/2. We can use the formula for area enclosed by a curve given by A=∫(y.dx) from a to b, where y is the function of x. In this case, we need to express x in terms of y, so we can use x=arccos(y) and substitute it in the formula. The final result is A=e-1/2.
The given parametric curve x=cost, y=et; 0≤t≤π/2, intersects the line y=1 at t=0, and intersects the line x=0 at t=π/2. Therefore, we need to find the area bounded by the curve and the lines y=1 and x=0, between t=0 and t=π/2. To do so, we can use the formula for area enclosed by a curve given by A=∫(y.dx) from a to b, where y is the function of x. In this case, we need to express x in terms of y, so we can use x=arccos(y) and substitute it in the formula. The final result is A=e-1/2.
The area bounded by the parametric curve x=cost, y=et; 0≤t≤π/2, and the lines y=1 and x=0 is e-1/2. This can be found using the formula for area enclosed by a curve given by A=∫(y.dx) from a to b, where y is the function of x. We need to express x in terms of y, so we can use x=arccos(y) and substitute it in the formula. The curve intersects the line y=1 at t=0 and the line x=0 at t=π/2, which defines the boundaries for the integral.
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2. The dimensions of a triangular pyramid are shown on the figure below. The height of the pyramid is
15 inches. What is the volume in cubic inches?
11
16 in
20 in
25.6 in
Answer:
he should be in 11 inches
what’s the answer to 4*100000
Answer:
400000
Step-by-step explanation:
your welcome
HI GUYS, PLEASE HELP ME FOR THE ALGEBRAIC EXPRESSOIN 6x=yx2+5
Step-by-step explanation:
6x=2x+5
6x-2x=5
4x=5
4x/4=5/4
X=1.25
100 points! PLEASE ANSWER!
Write a system of equations or inequalities (whichever is most appropriate for the given context) for the scenario below. Be sure to precisely define the variables.
YOU DO NOT NEED TO SOLVE THE SYSTEM! JUST WRITE ONE!
Scenario:
Charlie the Chocolatier mixed chocolate chips and pretzels to create 36 pounds of his holiday blend that sells for $6.00 per pound. The chocolate chips cost $7.00 per pound and the pretzels cost $4.00 per pound. How many pounds of each did he use?
Answer:
x + y = 36 (1)
7x + 4y = 216 (2)
Step-by-step explanation:
Quanrity of Holiday blend = 36 pounds
Cost per pound of the blend = $6.00
Cost of chocolate chips = $7.00 per pound
Cost of pretzels = $4.00 per pound
Let
Pounds of chocolate chips = x
Pounds of pretzels = y
x + y = 36 (1)
7x + 4y = 36 × $6.00
7x + 4y = 216 (2)
The system of equation is
x + y = 36 (1)
7x + 4y = 216 (2)
You have $50 to buy T-shirts. You can buy 3 T-shirts for $24. Do you have enough money to buy 7 T-shirts? Justify your answer.
No , because 7 t shirts will cost 56 $ in linear equation.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
You have $50 to buy T-shirts.
You can buy 3 T-shirts for $24.
You can buy 1 T-shirts for = 24/3 = 8
then 3 + 3 = 6 = 24 + 24 = 48 + 8 = $56
so, you don't buy 7 t - shirts because you have only $56 .
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Find the value of x and y.
help me out ASAP!!
Step-by-step explanation:
13x + 15 = 19x - 9 ( being opposite sides of parallelogram)
19x - 13x = 15 + 9
6x = 24
x = 24 / 6
x = 4
4y + 7° + 10y - 37° = 180° {being co-interior angles }
14y = 180° - 7° + 37°
14y = 210°
y = 210°/ 14
y = 15°
Hope it will help :)
5 What is the perimeter? use 3,14
(4pts.)
for pi.
bun
Ilin
What is the total area? use 3.14 for pi.
Show ur work 30 points
Answer:
I don't understand the instructions, but I'll answer the question in the picture.
The angle next to 52 is vertical to y, so, 90-52=y.
Thus, y=38
Susan wants to divide 2 hours of computer time equally among 10 students. What fraction of an hour of computer time will each student get
Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
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write the equation for the line that goes through the points (-8,2) and (7,7)
Answer:
y=3x+(0,4.5)
Step-by-step explanation:
i did this in my head, but the difference between -8 and 7 is 15. the difference between 2 and 7 is 5. it's rise over run so (15,5). that simplified is (3,1)/3. that is the slope. now you need a graph to see the y-int. the y-int is around 4.5.
For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32
Answer:
1) 3n = 15
Step-by-step explanation:
Determine the values of a, b, and c for the quadratic equation 3x^2 -5x=6
Answer:
You are correct, it is C.
Step-by-step explanation:
good job
Answer:
C )
Step-by-step explanation:
if re arranged the eq. becomes
3x2 - 5x - 6 = 0
a = 3, b = -5, c = -6
what is the angle between hours and the minute hand of a clock when it is exactly 2:00?
Answer:
= 60°
Step-by-step explanation:
2 o'clock = 1 hand at 12 (vertical), and 1 hand at 2 (1/6 of the circle)
1/6 of 360° = 60°
Discuss the downsizing process in your own words and provide an
example.
Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.
Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.
During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.
While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.
It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.
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four friends do yardwork for their neighbors over the weekend, earning $15,$20,$25, and $40, respectively. they decide to split their earnings equally among themselves. in total how much will the friend who earned $40 give to the others?
D would give A $10 and B $5 in total amount will the friend who earned $40 give to the others .
what is amount ?The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by. I still provide some services to them. Definitions of quantity, lot, measure, and size Additional words for "quantity".
calculation
Let A, B, C, and D each stand in for one of the four buddies.
A made $15 in earnings.
B made $20 in revenue.
C made a profit of $25.
D made $40 in revenue.
Total earnings equal 15 plus 20 plus 25 plus 40.
$100 was earned overall.
Each friend ought to receive an equal share;
Each income is calculated as follows: total income /friends
Adding a substitute to the equation, we have;
Each income equals 100/4
$25 equals each earnings.
D would therefore become; given $40.
D = $40 - $25
D = $15
As a result, D would give A $10 and B $5.
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I need the x and y value
I did it and I got 26 got both, but I’m not sure.
Answer:
x=26
y=116
Step-by-step explanation:
Answer:
Step-by-step explanation:
x8 y5
EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?
Answer:
the price will be the same for either amusement park
Step-by-step explanation:
10+1(x)=?
5+2(x)=?
ex; x=5
10+1(5)= 5+2(5)=
10+5= 5+10=
15 15
Answer:
5 rides, cost of $15
Step-by-step explanation:
With the information given we have two expressions:
10 + 1x and 5 + 2x
Using these expressions we can create this equation:
10 + 1x = 5 + 2x
Knowing some information we can can simply analyze some information:
The closest number each of these equations could equal is 15,
1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15
15 = 15 this is a true statement, so we know this is answer
Hope this helps! Have a good day!
A survey was conducted in order to compare the mean apartment prices (in MNIS: millions NIS) according to transactions made in 2021 in different cities in Israel. In a random sample of 50 transactions made in Tel Aviv, the average price per transaction was 3.75MNIS with a SD of 1MNIS; in a random sample of 21 transactions made in Kfar Saba, the average price per transaction was 2.53MNIS with a SD of 1MNIS, and in a random sample of 60 transactions made in Jerusalem, the average price per transaction was 2.29MNIS with a SD of 0.8MNIS a. Test, using a significance level of 1%, if we can infer that there is a difference between the mean apartment prices between the three cities in 2021. b. Find a 95% confidence interval for the difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021. c. Test, using a significance level of 5%, if we can infer that the difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is greater than 1.2MNIS. d. If the actual difference between the mean apartment prices in Tel Aviv and Jerusalem in 2021 is 1.8 MNIS, what is the power of the test conducted in the previous section? This survey also examined rental prices in Tel Aviv and found that in a random sample of 150 rented 4-bedroom apartments in the city, the average rental price in 2021 was 7,240 NIS per month. Assume that in 2021 the SD of the entire distribution of 4-bedroom apartments in Tel Aviv was 450 NIS. e. Find a 95% confidence interval for the mean rental price of 4-bedroom apartments in Tel Aviv in 2021. The Tel Aviv municipality has claimed that the mean rental price of 4-bedroom apartments in the city in 2021 was 7,150 NIS whereas Tel Aviv residents claimed that this mean was 7,250 NIS. f. Can we infer using a 5\% significance level, that the municipality's claim is true or maybe the mean rental price of a 4-bedroom apartment in the city in 2021 was greater? g. How many rented 4-bedroom apartments in Tel Aviv should have been sampled in order to obtain a statistical test that examines the municipality's claim against the residents' claim, with a significance level of 5% and a power of 90% ?
Hypotheses: \(H0: μ1 = μ2 = μ3 vs Ha\): At least one mean is differentFrom the problem, there are three independent groups and each sample size is large enough to approximate normal distribution, so we can use the one-way ANOVA test
Also, we can use the calculator, so the rejection region is \(F > 4.52\).Calculation:The degrees of freedom between is\(k − 1 = 3 − 1 = 2\), and the degrees of freedom within is \(N − k = 50 + 21 + 60 − 3 = 128.\)Using the calculator, F = 1.597.The calculator reports a p-value of 0.207. As p > α, we fail to reject the null hypothesis. Therefore, there is no significant difference between the mean apartment prices in the three cities in 2021.b
Hypotheses:\(H0: μ1 − μ2 = 0 vs Ha: μ1 − μ2 ≠ 0\)The significance level i\(s 0.05, so α = 0.05/2 = 0.025.\)
The degrees of freedom is \(df = (n1 + n2 − 2) = (50 + 60 − 2) = 108.\)The t-distribution critical values are ±1.98.Calculation:The point estimate of \(μ1 − μ2 is (3.75) − (2.29) = 1.46.\)
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Evaluate the following expressions. a. 25/3 b. 20−12/4∗2 c. 32%7 d. 3−5%7 e. 18.0/4 f. 28−5/2.0 g. 17+5%2−3 h. 15.0+3.0∗2.0/5.0
This expression represents the division of 25 by 3.
a. 25/3 = 8.333...
b. 20 - 12/4 * 2 = 14
c. 32 % 7 = 4
d. 3 - 5 % 7 = -2
e. 18.0/4 = 4.5
f. 28 - 5/2.0 = 25.5
g. 17 + 5 % 2 - 3 = 15
h. 15.0 + 3.0 * 2.0 / 5.0 = 16.2
a. 25/3:
This expression represents the division of 25 by 3.
25/3 = 8.333...
b. 20 - 12/4 * 2:
Following the order of operations (parentheses, exponents, multiplication/division from left to right, and addition/subtraction from left to right):
12/4 = 3
3 * 2 = 6
20 - 6 = 14
c. 32%7:
The % symbol represents the modulo operation (remainder after division).
32 % 7 = 4
d. 3 - 5%7:
Following the order of operations:
5 % 7 = 5 (since 5 divided by 7 leaves a remainder of 5)
3 - 5 = -2
e. 18.0/4:
This expression represents the division of 18.0 by 4.
18.0/4 = 4.5
f. 28 - 5/2.0:
Following the order of operations:
5/2.0 = 2.5 (division with floating-point numbers)
28 - 2.5 = 25.5
g. 17 + 5%2 - 3:
Following the order of operations:
5 % 2 = 1 (since 5 divided by 2 leaves a remainder of 1)
17 + 1 - 3 = 15
h. 15.0 + 3.0 * 2.0/5.0:
Following the order of operations:
3.0 * 2.0 = 6.0
6.0 / 5.0 = 1.2
15.0 + 1.2 = 16.2
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Denise made cookies. She used 5/8 of a cup of flour and 1/2 of a cup of sugar. How much more flour than sugar did Denise use?
(I'm not a 3rd grader i swear)
\(\frac{1}{8}\)
First you need to find the fraction with the same denominator.
Since we're working with eighths this is easy. since 1/2 = 4/8
5/8 - 4/8 = 1/8
I WILL GIVE BRANLISTY HELP I HAVE A F
WHAT ARE THE INCHES AND CENTIMETERS OF THIS SQUARE AND GIVE REASON
Answer:
dude what type of question is this
Write an equation of a hyperbola with the following properties:
y-intercepts (0, +- 12); foci (0, +-15)
Substitute the values of a and b into the standard equation: (y^2 / 12^2) - (x^2 / 9^2) = 1, (y^2 / 144) - (x^2 / 81) = 1, This is the equation of the hyperbola with the given properties.
To write the equation of a hyperbola with the given properties, we can use the standard form equation: ((y-k)^2 / a^2) - ((x-h)^2 / b^2) = 1
where (h,k) is the center of the hyperbola, a is the distance from the center to a vertex, and b is the distance from the center to a co-vertex.
First, we know that the y-intercepts are (0, +-12), so the distance from the center to the vertices must be 12. We also know that the foci are (0, +-15), so the distance from the center to the foci must be 15.
Using these values, we can solve for a and b:
c^2 = a^2 + b^2
15^2 = 12^2 + b^2
b^2 = 225 - 144
b^2 = 81
b = 9
Now we know that a = 12 and b = 9. The center of the hyperbola is (0,0) since the y-intercepts are on the y-axis. We can plug these values into the standard form equation to get: (y^2 / 12^2) - (x^2 / 9^2) = 1
Simplifying, we get: (y^2 / 144) - (x^2 / 81) = 1
So the equation of the hyperbola with the given properties is:
(y^2 / 144) - (x^2 / 81) = 1
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What is the volume of the cylinder? Round to the nearest hundredth and approximate using π = 3.14. cylinder with a segment from one point on the circular base to another point on the base through the center labeled 2.8 feet and a height labeled 4.2 feet
10.39 cubic feet
25.85 cubic feet
36.93 cubic feet
73.85 cubic feet
Answer:
25.85 cubic feet
Step-by-step explanation:
Volume of a cylinder is
Base Area • height
The Base Area of a cylinder is a circle. The area of a circle is pi•r^2.
Vol = pi•r^2•h
They gave the diameter of the circle as 2.8, so the radius is half of that.
r = 1.4
The height was given
h = 4.2
Fill in radius and height and 3.14 for pi. Square the radius and then multiply everything.
see image.
Round to two decimal places.
hi i just did the test and the answer is 25.85 cubic feet
and it was correct btw other person deserves brainly have a nice day!
Please help!!!!! im so confused
Answer:
wouldnt it be 110?
Step-by-step explanation: