Answer:
x = 2
Step-by-step explanation:
3x + 5 = 11
-5 -5
------------------
3x = 6
/3 /3
------------------
x = 2
Answer:
x=2
Step-by-step explanation:
3x+5=11
-5 -5
3x=6
Divide by 3 on both sides to isolate x
x=2
Find the equation of the line.
Use exact numbers.
Answer:
Step-by-step explanation:
I NEED HELP ASAP PLEASE
Order the numbers from least to greatest.
-5 1/2
-5.2
-5
-5/2
5.5
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
what is the midpoint of the horizontal (-2,3) and (10,3)
On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?
Answer:
Yes
Step-by-step explanation:
An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week
solve for each proportion
Answer:
r = 20/7
x = 13.5
Step-by-step explanation:
Hello!
7)Solve for r by cross-multiplying:
\(\frac r2 = \frac {10}7\)\(r*7 = 10 * 2\)\(7r = 20\)\(r = \frac{20}7\)The value of r is 20/7.
8)Solve for x by cross-multipying:
\(\frac 94 = \frac x6\)\(9*6 = 4*x\)\(4x = 54\)\(x = 13 \frac12\)The value of x is 13.5.
Answer:
7) r = 20/7 8) x = 27/2Step-by-step explanation:
7) r/2 = 10/7, value of r?
→ r/2 = 10/7
→ r = (10/7) × 2
→ r = (10 × 2)/7
→ [ r = 20/7 ]
Hence, value of r is 20/7.
8) 9/4 = x/6, value of x?
→ 9/4 = x/6
→ x/6 = 9/4
→ x = (9/4) × 6
→ x = (9 × 6)/4
→ x = 54/4
→ [ x = 27/2 ]
Hence, value of x is 27/2.
which of the following best describes the bases of a cylinder? A. Congruent B. Polygons C. Parallel D. Discs (Check All That Apply)
Answer:
A. Congruent and D. Discs
Step-by-step explanation:
You won't see a cylinder that doesn't have congruent bases
Look at the shape of the bases and look at a disc compare their shape
We can describe the bases of a cylinder as congruent.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Given is to describe the bases of a cylinder.
The cylinders are uniform in cross - section. Therefore, the bases of the cylinder will have the same area. So, we can conclude that the given bases are congruent.
Therefore, we can describe the bases of a cylinder as congruent.
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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I need help on this question and please explain what I got wrong so I understand and what I'm supposed to do.
Answer:
A. 64
Step-by-step explanation:
In this problem, you're trying to find out what b is.
With the information that you have, you know that the answer will be 16, and your denominator (what you'll be dividing by) is 4. What you got wrong in this was thinking of it as "what times 4 equals 16", to which you got the answer 4 because 4*4=16. But, that's not exactly what you're supposed to be doing.
If we looked at it like that in this problem, you'd have b=4, making the equation then look like 4/4=16. This isn't true because 4/4=1.
Instead, to get the correct answer, you'll be multiplying 4, the denominator, by 16, our solution. With this, you'll get the answer A. 64.
If you have any more questions, feel free to reach out for help.
Answer:
We are given an equation of \(\frac{b}{4} = 16\) and we need to determine what b is. The way that we would do this is what you did and we would multiply both sides by 4 which would get rid of the 4 in the fraction and this would end up multiplying 16 by 4 giving us \(b=64\). This would best match with option A which is 64.
Hope this helps! Let me know if you have any questions
A market woman purchased a number of plates for GH 150.00. Four of the plates
4
got broken while transporting them to her shop. By selling the remaining plates at a
profitof GH€ 1.00 on each, she made a total profit of GH€ 6.00. How many
plates did she purchase?
Answer: 160 plates.
Step-by-step explanation:
The woman bought N plates for GH€ 150.00
4 of the plates where broken, so she has N - 4 plates to sell.
She sold each one of the N - 4 plates for GH€ 1, then after all the N- 4 plates were sold, the total money that she has is:
(N - 4)*GH€1 = GH€ (N - 4)
And the total profit (profit is the difference between the final amount of money that she gets, and the initial payment) is GH€ 6, then we have that:
GH€ (N - 4) - GH€ 150.00 = GH€ 6
ignoring the units, we have:
N - 4 - 150 = 6.
N = 6 + 154 = 160.
She bought 160 plates.
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones, etc.) in back-to-college spending per student. Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54. If a family of a returning college student is randomly selected, what is the probability that: (a) They spend less than $150 on back-to-college electronics? (b) They spend more than $390 on back-to-college electronics? (c) They spend between $120 and $175 on back-to-college electronics?
Answer:
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.
Step-by-step explanation:
We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.
Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.
Let X = back-to-college family spending on electronics
SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))
The z score probability distribution for normal distribution is given by;
Z = \(\frac{X-\mu}{\sigma}\) ~ N(0,1)
where, \(\mu\) = population mean family spending = $237
\(\sigma\) = standard deviation = $54
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)
P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)
= 1 - 0.9463 = 0.0537
The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)
P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)
= 1 - 0.9977 = 0.0023
The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)
P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)
P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)
= 1 - 0.8749 = 0.1251
P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)
= 1 - 0.9850 = 0.015
The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.
Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101
Evaluate : limx→ tan2-sin2x x3
Given:
\(\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}\)Solve:
\(\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}\)Use l'hopital's rule:
\(\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}\)Simplify:
\(\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}\)Apply the constant multiple rule:
\(\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}\)\(\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}\)Similary :
\(\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}\)ms . Morgan plans to serve cookies at a class party each package of cookies cost $2.49 and contains 6 cookies. Ms. Morgan has $17.00 to spend. Will ms. Morgan have enough money to provide each of her 19 students with 2 cookies each ?
Answer:
No
Step-by-step explanation:
A package has 6 cookies for $2.49
Ms. Morgan has 19 students. She wants to give each student 2 cookies, which means each package is enough for 3 students.
19 students × 2 cookies = 38 cookies is what you need
7 packages times $2.49 = $17.43
7 packages × 6 cookies = 42 cookies
42 cookies ÷ 19 students = 2.21 cookies for each student
What is the vertex of x2 + 8x + 12?
Answer:
(-4,-4)
YW :))
Or you could of just looked it up cause thats what I did!!
In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
True
False
False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
What is exponential decay function?
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.
It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.
How do you calculate an exponential function?
The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.
The exponential function, which has the form, is a significant mathematical function. f(x) = ax.
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josie walks 3/4 miles in 1/5 hour. what is josie’s speed in miles per hour
Answer:
Speed = 3.75 miles per hour.
Step-by-step explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
\(Speed = \frac{distance}{time}\)
\(S = \frac{d}{t}\)
Given the following data;
Distance, d = 3/4 miles
Time, t = 1/5 hour
Substituting into the equation, we have;
\(Speed, S= \frac{3/4}{1/5}\)
\(Speed, S = \frac{3}{4}*5\)
\(Speed, S = \frac{15}{4}\)
Speed, S = 3.75mph.
Therefore, Josie's speed is 3.75 miles per hour.
HELP NEEDED ASAP
image below
Answer:
2 and 7/8
Step-by-step explanation:
First we need to convert 1/4 into a denominator of 8 to get alike fractions, you do this by multiplying 1/4 by 2/2 to get 3 and 2/8 then we turn the whole numbers into an improper fraction of 49/8 and 26/4 then we subtract that from each other to get 23/8 also written as 2 and 7/8
Q1] A hockey team plays 15 matches. Below is a list of the numbers of goals scored in these matches. 1, 0, 2, 4, 0, 1, 1, 1, 2, 5, 3, 0, 1, 2, 2. Find mean median mode and range.
Answer:
The mean is the average number from the group of numbers.
In this case, the average of the numbers 2, 4, 0, 3, 4, 1, 3, 1, 1, 5 is 2.4.
This is discovered by adding all the numbers together (which in this case is 24) and dividing that number by the amount of numbers in the group (in this case it's 10).
24 ÷ 10 = 2.4
Therefore the mean is 2.4.
food concession owner in a mall sold 120 beef, vegetable and pork sliders in 7 days. 20% of the sliders sold were beef and 15% were vegetable. How many pork sliders were sold?
The number of pork sliders sold is given as follows:
24 pork sliders.
How to obtain the number of pork sliders sold?The number of pork sliders sold is obtained applying the proportions in the context of the problem.
The total number of pork sliders is given as follows:
120 pork sliders.
The percentage of pork sliders sold is given as follows:
20%. (proportion of 0.2).
Hence the amount sold is given as follows:
0.2 x 120 = 24 pork sliders.
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WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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50 points pls help
Assume that the parcel starts its journey at 20ºC (lower left blank, 0 meters). Use the DAR (5C/500 meters) to calculate the decreasing temperature of the parcel up to and including the 1000-meter elevation.
The decreasing temperature of the parcel as it travels up the mountain, from 0–m to 1,000–m are;
20 °C, 25 °C, 30 °C
What is the Dry Adiabatic Lapse rate?The Dry Adiabatic Lapse Rate is the rate of change in temperature air which is unsaturated as it moves towards or away from a surface.
The given temperature of the parcel at an elevation of 0 meters = 20 °C
The Dry Adiabatic lapse Rate, DAR = (5°C/ 500–m)
The temperature, T, of the parcel at 1000–m is found as follows;
Using the DAR of 5°C/500–m, we have;
At 0–m, T = 20°CAt 500–m, T = 20°C - 500–m × (5°C/500–m) = 15°At 1000–m, T = 20°C - 1000–m × (5°C/500–m) = 10°Learn more about types of lapse rate here:
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by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4 shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense
The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.
Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:
A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.
A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.
Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.
A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.
The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.
A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.
A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.
A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.
A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.
A Br. 12.70 service charge was imposed by the bank for the month of July.
Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.
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Rewriting 3x^2=6x and solving with rewritten
Answer:
x = 0 , x = 2
Step-by-step explanation:
3x² = 6x ( subtract 6x from both sides )
3x² - 6x = 0 ← factor out 3x from each term
3x(x - 2) = 0
equate each factor to zero and solve for x
3x = 0 ⇒ x = 0
x - 2 = 0 ( add 2 to both sides )
x = 2
solutions are x = 0 , x = 2
ill mark brainlist plss help
Answer:
222 ft
Step-by-step explanation:
add 15 ft to each side of the length and width
L = 28 + 30 = 58
W = 23 + 30 = 53
perimeter = 2(L + W) = 2(58 + 53) = 222 ft
Answer:
222 ft
Step-by-step explanation:
The fence must be 15x2 (30) feet wider and 15x2 (30) feet longer, since the fence must be 15ft away at all points. Take 23+30 to find width, and take 28+30 to find length. You get that the fence is 53 ft. wide and 58 ft long. Feet of fencing is the same as asking for perimeter, so 53+53+58+58=222 feet of fencing
Jabari needs a new refrigerator for his home. He finds one he likes for $780. If he borrows the amount at 7% interest, how much does Jabari owe if he plans to pay off the loan in 25 weeks?
The total amount that he will owe after the loan period of 25 weeks is; $806.25
How to calculate the Simple Interest?The formula to calculate simple interest is;
I = PRT/100
Where;
P is principal
R is rate
T is time
We are given;
P = $780
R = 7%
T = 25 weeks = 25/52 years
Thus;
I = (780 * 7 * 25/52)/100
I = $26.25
Total payoff = $780 + $26.25
= $806.25
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Quadratic Equations and Complex Numbers
please give a clear answer, thank you <3
The result of the given terms is -2/5 as per the given question from complex numbers.
What is a complex number?There is a multiplicative inverse for every nonzero complex number. As a result, complex numbers are a field with real numbers as a subfield. The complex numbers also form a two-dimensional real vector space with 1, I as the standard basis.
Because of this standard basis, the complex numbers form a Cartesian plane known as the complex plane. This allows for a geometric interpretation of complex numbers and operations, as well as the expression of geometric features and constructions in terms of complex numbers. Real numbers, for example, constitute the real line, which corresponds to the complex plane's horizontal axis.
=(((3/5)+(1/5)i)+((4/5)-(2/5)i) -((9/5)-(1/5)i))
=((3/5)+(4/5)-(9/5))-i((1/5)+i((1/5)-(2/5)+(1/5))
=(-2/5)+i(0)
= -2/5
Therefore, the result of the given terms is -2/5
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write 25x^2-150x+9y^2=0 in standard form
Answer:
\(\frac{(x-3)^{2} }{9} +\frac{y^{2} }{25}=1\)
Step-by-step explanation:
help please . number 2 .
Answer:
D
Step-by-step explanation:
10x² - 25x + 15 = 0
Divide by 5 both sides,
2x² - 5x + 3 = 0
(x - 1) (2x - 3) = 0
Factors: x - 1 and 2x - 3
Answer: D
A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10 km/h. Two hours later, the other group leader left the campsite in a motorboat. He traveled at an average rate of 22 km/h.A. How long after the canoe left the campsite did the motorboat catch up with it?B. How long did the motorboat travel?
A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes
B . The motorboat travel at 1 hr 40 minutes
A group of campers and one group leader left a campsite in a canoe.
They traveled at an average rate of 10 km/h.
1st Group DATA:
rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs
Two hours later, the other group leader left the campsite in a motorboat.
He traveled at an average rate of 22 km/h.
Group Leader DATA:
rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs
A. How long after the canoe left the campsite did the motorboat catch up with it?
Group time - Leader time = 2 hr
x/10 - x/22 = 2
Multiply thru by 110 to get:
11x - 5x = 220
6x = 220
x = 110/3 = km
canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes
B. How long did the motorboat travel?
motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes
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Work out the value of (-8)2
Answer:
-16
Step-by-step explanation:
2x(-8)=16
Hey there!
Assuming you meant:
(-8)^2
= (-8)(-8)
= 64
Therefore, your answer should be:
64
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
If a point with the coordinates (2,3) is dilated from origin by a scale factor of 2, what are the coordinates of the dilation?
Answer:
(4,6) it would be......