Use the commutative property of multiplication to write an equivalent expression to 69xuse the distributive property to write an equivalent expression to 8(c+5) that has no grouping symbols.
Answers
Answer
69x = 69 × x = x × 69
8 (c + 5)
= 8c + 40
Explanation
The commutative property of multiplication for two numbers a and b, is given as
a × b = b × a = ab
69x = 69 × x = x × 69 = 69x
Question 2
The distributive property for openingh brackets involving three numbers a, b and c is given as
a (b + c)
= ab + ac
So, for this question
8 (c + 5)
= 8c + 40
Hope this Helps!!!
Related Questions
If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write the lists of all elements of M and N.
Answers
Answer:
The set M of all square numbers less than 80 is:
M = {0, 1, 4, 9, 16, 25, 36, 49, 64}
The set N of all non-negative even numbers that are under 30 is:
N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
Answer:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28Step-by-step explanation:
A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.
The square numbers less than 80 are:
1, 4, 9, 16, 25, 36, 49, and 64.An even number is an integer that is divisible by 2 without leaving a remainder.
The non-negative even numbers that are under 30 are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28.Therefore:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28how to solve this question?
Answers
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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Which of the following is the solution to 2√30 + 3√10?
8√10
8√10
Cannot be simplified further
9√10
Answers
2. what is the correct r code to build a linear regression model with response variable y and explanatory variable x? a. lm(y~x) b. lr(y~x) c. lm(y
Answers
The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).
The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.
The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.
In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).
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ethan buys vidio games for 39.99 sale on 20% how much ethan payed
Answers
The amount that Ethan pays for the video game is 47.988.
How to calculate the value?From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.
In this case, the amount that he will pay will be:
= Original amount + Tax
= 39.99 + (20% × 39.99)
= 39.99 + 7.998
= 47.988
The amount is 47.988.
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Complete question
Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed
Solve y = x³ for x if y = - 1000.
Answers
Answer: x = - 10
Step-by-step explanation:
We will use the equation given, substitute -1,000 in for y, and solve.
y = x³
(1,000) = x³
\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)
- 10 = x
x = - 10
Race organizers want to survey the participating runners on the quality of the running course. Which of the
following uses systematic random sampling?
Select the first 15 finishers and the last 15 finishers to take the survey.
Randomly select 15% of the male participants and 15% of the female participants.
Select the 5th finisher (with the number 5 being randomly chosen) to survey, then survey every 15th finisher after
that.
Sort all of the runners' names alphabetically, then randomly choose 2 letters and survey all participants whose
last name begins with one of those letters.
Answers
Answer:
Select the 5th finisher (with the number 5 being randomly chosen) to survey, then survey every 15th finisher after that.
Step-by-step explanation:
edge 2021
Miranda enlarged a picture proportionally.Her original picture is 4cm wide and 6cm long.If the new, larger picture is 10cm wide,what is its length
Answers
Which graph represents the function f(x) = -2sin(x) +37
Answers
The graph that represents the function f(x) = -2sin(x) +37 is graph D
How to explain the graphThe graph of the function f(x) = -2sin(x) +37 is a sinusoidal wave with an amplitude of 2 and a vertical shift of 37. The negative sign in front of the sine function indicates that the wave is inverted or reflected about the x-axis.
In this graph, the maximum value of the function is 39 (when x = 0) and the minimum value is 35 (when x = π).
In conclusion, the graph that represents the function f(x) = -2sin(x) +37 is graph D
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decribe orwells probable opinion regarding the importance of countries having an informaed educated citizenry
Answers
Orwell believed it is important for countries to have an informed and educated citizenry
George Orwell would have agreed that it is crucial for nations to have educated and informed citizens. Orwell frequently discussed the value of education and knowledge as well as the perils of ignorance and propaganda in his writing. Orwell depicts a dystopian world in his book "1984" where the governing party has complete control over all knowledge and education and purposefully keeps the populace uninformed to maintain its power.
Orwell also wrote extensively about the value of a free press and its function in informing. He believed that honest and transparent language is crucial for democracy because it enables citizens to comprehend and assess the thoughts of their leaders. Hence, Orwell would have warned about the risks of propaganda and the suppression of knowledge and seen an informed and educated populace as a cornerstone of a healthy and functional society.
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Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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The diameter of a circle is 36cm and a chord of the same circle is 30cm. To the nearest tenth, what is the distance of the chord from the center of the circle?
Answers
Answer:
It would be 2.
Step-by-step explanation:
Which expression is equivalent to 1/4(2 – 5x + 6)?
Answers
Answer: the answer is CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
C
IS the problem a function or no
Answers
Answer:
I think it is a function???
Step-by-step explanation:
Because a graph represents a function if it impossible to draw a vertical line that intersects the graph more than once.
I'm not sure if I'm correct, let me know please.
The back of Tom's property is a creek. Tom would like to enclose a rectangular area, using the creek as one side and fencing
for the other three sides, to create a corral. If there is 100 feet of fencing available, what is the maximum possible area of the
corral?
Answers
9514 1404 393
Answer:
1250 square feet
Step-by-step explanation:
If x is the length of the side perpendicular to the creek, then the third side is (100 -2x) = 2(50 -x). The area is the product of length and width:
A = x(2)(50-x)
We observe that this is a quadratic function with zeros at x=0 and x=50. The vertex (maximum) of a quadratic function is on the line of symmetry, halfway between the zeros. The value of x there is (0 +50)/2 = 25.
Then the maximum area is ...
A = (25)(2)(50 -25) = 1250 . . . . square feet
_____
Additional comment
Note that half the length of the fence is used in one direction (parallel to the creek), and half is used in the other direction (perpendicular to the creek). This 50/50 split is the generic solution to all sorts of rectangular corral problems, with or without a creek, with or without internal partitions.
Half the fence is perpendicular to the other half. (If the costs are different in different directions, then the cost is what is split 50/50.)
Which of the following is an example of a census?
a) Survey parents whose children attend a local elementary school by randomly selecting 50 parents from the school’s records.
b) The U.S. Population Census
c) Poll students at a college by including a pop-up window in the online registration form. Students have to answer the survey questions before they can register. Try to catch the remaining students at the admissions window when they register in person. d) Weigh every child at an elementary school for a study of physical fitness at the school.
Answers
Answer:
B
Step-by-step explanation:
because its something thats important and needs to be done
The U.S. Population Census is an example of a census
Census means the procedure of counting, calculating and recording the number and information about the members of the nation's.
Generally, population census are conducted every 10 years although some nations conduct their's every 5 years.
The primary objective of population census is to know the total size of the population of a country.
Population census also enable the government to appropriate resources fairly based on the number of people in a geographical area.
In conclusion, the U.S. population census is the only example of census.
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HELP PLEASE whats the number for this answer?
ASAP
Answers
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°
evaluate the iterated integral. 1 0 s4 cos(s5) dt ds 0
Answers
The final solution is -sin(1).
To evaluate the iterated integral, we need to integrate with respect to the outer variable first, then integrate with respect to the inner variable.
The given iterated integral is:
\(∫(1 to 0) ∫(s^4 to 0) cos(s^5) dt ds\)
To evaluate this, we need to integrate with respect to t first, and then integrate with respect to s.
\(∫(1 to 0) ∫(s^4 to 0) cos(s^5) dt ds = ∫(1 to 0) [∫(s^4 to 0) cos(s^5) dt] ds= ∫(1 to 0) (-1/s^5 * sin(s^5)) \\ds= [-1/s^5 * sin(s^5)] \\evaluated at s = 1,0= (-1/1^5 * sin(1^5)) - (-1/0^5 * sin(0^5))= (-1/1 * sin(1)) - (0)= -sin(1)\)
So the final solution is -sin(1)
Note that the integral is not defined for s=0, \(s^5=0\) , as the function is not defined there.
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Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 65 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 675 total miles?
Answers
675-212 463
463/65 7.123
So about 7 hours left
H varies directly as L. If H = 30 when L=60, determine H when L= 40.
a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)
Answers
Answer:
i) The variation equation H = k L
ii) The value of H = 20
iii) C) H = k L
Step-by-step explanation:
Step(i):-
Given that H varies directly as L
H ∝ L
H = k L
Given that H =30 and L = 60
⇒ 30 = k (60)
\(k = \frac{30}{60} = \frac{1}{2}\)
Step(ii):-
Given that L = 40
The variation of the equation = H = k L ...(i)
put L = 40 in equation (i)
\(H = \frac{1}{2} X 40 = 20\)
Evaluate 4(x-3)+5x-x squared for x=2
Answers
Answer:
5
Step-by-step explanation:
I think you meant 4(x - 3) + 5x - x^2.
Substituting 2 for x, we get 4(-1) + 5(2) - (2)^2 = -1 + 10 - 4 = 5
pls answer this asap will give brainliest
Answers
Answer:
C: The American antelope
Step-by-step explanation:
Help plz I need it ASAP give poinys
Answers
Answer:
1 4/5
Step-by-step explanation:
Download photogmath
Answer:
1 7/8
Step-by-step explanation:
9÷4 4/5
=9÷24
=9/1×5/24
=
9×5
-----------
1×24
=45/2
15/8=1 7/8
Explain why the t-distribution has less spread as the number of degrees of freedom increases. Choose the correct answer below. A. The t-distribution has less spread as the degrees of freedom increase because the variability introduced into the t-statistic becomes greater as n increases. B. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to by the law of large numbers. C. The t-distribution has less spread as the degrees of freedom increase because, as n increases, less information is known about by the law of large numbers. D. The t-distribution has less spread as the degrees of freedom increase because, for large values of n, n30, the t-distribution and the normal distribution are the same.
Answers
Answer:
B. The t-distribution has less spread as the degrees of freedom increase because, as n increases, s becomes closer to sigma by the law of large numbers.
Step-by-step explanation:
The sample standard deviation, s gets considerably closer to the population standard deviation, σ, this trend follows the proposition of the law of large numbers whereby the mean or average value changes as the sample size, n increases. According to the law of large numbers, as the sample size increases, the sample mean gets continously closer to the population mean, sample standard deviation follows this same trend and thus variability or spread decreases as sample size increases.
The plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n increases, s becomes closer to by the law of large numbers. (Option B)
Note the following:
Based on the theorem of large number, the population mean and sample mean will get closer as the sample size increases.By implication, the sample standard deviation, s, and the population standard deviation, σ becomes closer too, thus, the spread will reduce as the sample size increases.Therefore, the plausible reason that explains why the t-distribution will have a less spread as the number of degrees of freedom increases is because: as n increases, s becomes closer to by the law of large numbers. (Option B)
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The slide at the playground has a height of 9 feet. The base of the slide measured onthe ground is 12 feet. What is the length of the slide?
O 15 feet
O 45 feet
21 feet
36 feet
Answers
Step-by-step explanation:
this creates a right-angled triangle, with the length of the slide being the Hypotenuse (the side opposite of the 90° angle), and height and base are the legs.
so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse, a and b being the legs.
length² = 9² + 12² = 81 + 144 = 225
length = sqrt(225) = 15 ft
Jensen and Raju had the same amount of money at first. After Jensen spent
$64 and Raju spent $148, Jensen had 3 times as much money as Raju. How
much money did each boy have at first?
Answers
Step-by-step explanation:
Both of them had $x
Later
Jensen=x-64
Raju=x-148
Jensen=3*Raju
x-64=3(x-148)
x-64=3x-444
3x-x=444-64
2x=380
x=$190
10-pound sack of flour costs $8.
How much does 40 pounds of flour cost?
What is the cost per pound of flour?
Answers
The probability of waiting 2 minutes or longer for checkout at a particular supermarket counter is 0.3. On a given day, a man and his wife decide to shop individually at the market, each checking out at different counters. They both reach the counters at the same time. What is the probability that one or the other or both will wait 2 minutes or longer?
Answers
Answer:
The probability answer is 69/100
Step-by-step explanation:
The probability of waiting 2 minutes or longer = 0.3= (3/10)
The probability of not waiting longer = 1 - (3/10) = (7/10)
For the man,
P(waiting 2 mins or longer) = 3/10
For the woman,
P(waiting 2 mins or longer) = 3/10
Therefore,
The probability that one or the other or both will wait 2 minutes or longer
= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)
= (3/10) or (3/10) or ( (3/10) and (3/10) )
= (3/10) + (3/10) + ( (3/10) X (3/10) )
= (6/10) + (9/100)
= (69/100)
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answers
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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3y > 12 graph the inequalities
Answers
Answer:
y>4
Step-by-step explanation:
3y>12
divide both sides by 3
y>4
draw a dotted horizontal line at 4 on the y-axis
shade the entire section above it