The contrapositive of the statement "If the computer crashes, the software needs to be re-installed" is "If the software does not need to be re-installed, the computer did not crash."
The contrapositive of a statement is formed by negating both the hypothesis and conclusion, and then reversing the order of the two statements. In this case, the hypothesis is "the computer crashes" and the conclusion is "the software needs to be re-installed."
To form the contrapositive, we negate both of these statements and reverse the order:
Negated hypothesis: The computer does not crash.
Negated conclusion: The software does not need to be re-installed.
Putting these two statements together, we get the contrapositive:
If the software does not need to be re-installed, the computer did not crash.
In other words, if the software is working properly, then the computer must not have crashed.
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Simplify (514)-3. Assume n = 0.
X
1
12
5n
1
125n
n12
125
125
n12
RETRY
Step-by-step explanation:
the second option 1/(125n¹²)
why ?
when we have the exponent of an exponent, we can multiply the exponents.
so, 4×-3 = -12
a negative exponent means 1/... (with the corresponding positive exponent in the denominator).
and an exponent of the multiplication of factors means that the exponent is to be used for every factor in the multiplication.
so, the exponent -3 has to be applied to 5 and to n⁴.
this gives us 5^‐3 and n^-12 as factors.
the result is 1/(5³) × 1/(n¹²).
and that is the mentioned result above.
is there another data point that would be reasonable to add, even though you made no measurements? if so, what is it?is there another data point that would be reasonable to add, even though you made no measurements? if so, what is it? (2m/s2,3n) (5m/s2,5n) (0m/s2,0n) none of the aboverequest
It is possible to add another data point that would be reasonable, even though no measurements were made. This data point could be an estimate or a prediction based on the existing data points. For example, if the existing data points show a linear relationship between acceleration and force, it would be reasonable to add a data point that falls along the same line.
One possible data point that could be added is (3m/s2, 4n). This data point falls between the existing data points (2m/s2, 3n) and (5m/s2, 5n), and would be a reasonable estimate based on the existing data.
Another possible data point that could be added is (7m/s2, 6n). This data point falls along the same line as the existing data points, and would be a reasonable prediction based on the existing data.
Overall, it is possible to add another data point that would be reasonable, even though no measurements were made, as long as the data point is based on the existing data and follows the same pattern or relationship.
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A computer monitor has a width of 14.60 inches and a height of 10.95 inches. What is the area of the monitor display in square meters? area How many significant figures should there be in the answer? 2 3 4 5
The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.
The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.
The conversion factor from inches to meters is 0.0254 meters per inch.
Width in meters = 14.60 inches * 0.0254 meters/inch
Height in meters = 10.95 inches * 0.0254 meters/inch
Area = Width in meters * Height in meters
We calculate the area:
Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters
Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters
Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters
Now, we determine the number of significant figures.
The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.
Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.
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Use the expression 4(8 3x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: How many terms are in each factor of this expression
Part A: The two factors are 4 and (8 - 3x).
Part B: The first factor has one term, and the second factor has two terms.
We have,
Part A:
The expression 4(8 - 3x) consists of two factors.
The first factor is coefficient 4, which multiplies the entire expression within the parentheses.
The second factor is (8 - 3x), which represents the expression inside the parentheses.
Part B:
To determine the number of terms in each factor, we need to identify the terms within the parentheses and the term created by the coefficient.
Within the parentheses, we have two terms: 8 and -3x.
The term 8 is a constant, while -3x is a variable term with a coefficient of -3 and the variable x.
Therefore, there are two terms within the second factor.
The coefficient 4 is considered a single term in itself because it is a constant value.
Thus, there is one term in the first factor.
Thus,
Part A: The two factors are 4 and (8 - 3x).
Part B: The first factor has one term, and the second factor has two terms.
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This shows a figure. What is the measure of angle MRX?
The measurement of the angle MRX is 130°.
Given that a figure we need to find the angle MRX,
The lines TP and ZX are perpendicular to each other, and there is a line MQ intersecting at R,
So,
Angles MRT and MRZ are complementary so,
m ∠MRZ + m ∠MRT = 90°
50° + m ∠MRT = 90°
m ∠MRT = 40°
Also,
Angles TRX and TRZ are supplementary so, and equal to right angle, so,
m ∠MRX = m ∠MRT + m ∠TRX
m ∠MRX = 90° + 40°
m ∠MRX = 130°
Hence the measurement of the angle MRX is 130°.
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Turn into a math problem and solve: Twelve decreased by 8 times a number is 36. Find the number.
Answer: -3
Step-by-step explanation:
12 - 8x = 36
subtract 12 from each side
-8x = 24
divide by -8
x = -3
A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)
The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
Given the following
Initial population = 150 birdsIf there is a 16% increase, the increment will be 0.16(150)
The population B(t) as a function of time will be expreessed as:
B(t) = 150(1+0.16)
B(t) = 150 (1.16)
Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)
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Slope=-7/5 y-intercept=2
Answer:
Assuming you are asking for the equation: y=-7/5x+2
Step-by-step explanation:
Answer:
\(y=-\frac{7}{5} +2\)
Step-by-step explanation:
Clare follows the same workout cycle each time she goes to the gym. First, she runs for
1
3
of an hour. Then, she lifts weights for
1
6
of an hour. If Clare has 1
1
2
hours to spend at the gym, how many times can she go through her workout cycle?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
3 times.
Step-by-step explanation:
She has 1 1/2 hour to spend in the gym.
1 hr = 60 minutes.
1/2 of an hour= 1/2 * 60= 30 minutes.
In total, she spends 90 minutes in the gym.
If 1/3 of an hour is meant in running, it translates into: 1/3 * 60 = 20 minutes.
If 1/6 of an hour is spent in weight-lifting, it translates into: 1/6 * 60 = 10 minutes.
In total, she spends, 20 minutes + 10 minutes = 30 minutes for both activities.
To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.
90 minutes/30 minutes= 3 times for each cycle.
26 - x = 17
What does x equal?
Answer: x = 9
We know that 26 and 17 are in a fact family.
Let's see the fact family.
26 - 17 = 9.
So, the answer is 9.
Hope this helps you!
Answer:
x = 9
Step-by-step explanation:
-x = 17 - 26 Take the numbers to one side and leave the letters on the other side
-x = -9 Subtract the numbers
x = 9 since the x and the 9 are negative they become positive
(two negatives equals a positive only when multiplying or
dividing and in this case you are dividing the -1x to both
sides)
helppp solve step 2 and 3 pleasee quick
Answer:
Step-by-step explanation:
Need help ppl keep givin me links
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
if the work required to stretch a spring 3 ft beyond its natural length is 15 ft-lb, how much work (in ft-lb) is needed to stretch it 18 in. beyond its natural length? give your answer in decimal form.
The amount of work needed to stretch the spring 18 in. from its natural position is 3.75 ft-lb.
According to the Hooke's Law, the work done on the spring is:
W = 1/2. k . x²
Where:
k = spring constant
x = displacement.
Notice that the work done is directly proportional to x².
Hence,
W₁ : W₂ = x₁² : x₂²
Parameters given:
W₁ = 15 ft-lb
x₁ = 3 ft
x₂ = 18 in. = 1.5 ft
Plug the above parameters into the ratio equation:
15 : W₂ = 3² : (1.5)²
W₂ = (1.5)² . 15 / 3² = 15/4 = 3.75 ft-lb
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HELP ASAP!!
ABC is similar to QRS. If AB=3 when QR=1,
what is the measure of BC if RS=1.5?
A: 1.5
B: 3
C: 4.5
D: 5
Answer:
C
Step-by-step explanation:
Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1 and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5
Answer:
C
Step-by-step explanation:
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Jack and charlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?
From the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
What is the difference between simple and compound interests?
Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period. Simple interest is a predetermined proportion of the principal amount borrowed or lent that is paid or received over a set period of time. Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
The complete question is given below.
Given,
The principal amount deposited by both Jack and Carlie P = $17,250
The rate of interest r = 6% = 0.06
The time period = 6.5
Jack's account earns annual simple interest and Carlie's account earns annual compound interest.
So the amount in each person's account after a time period of t = 6 years.
Jack:
Amount = P(1+rt) = 17250 ( 1 + 0.06*6) = $23,460
Carlie:
number of times compounded in a year n = 1
Amount = \(P(1 + \frac{r}{n})^{nt}\) = 17250 ( 1+0.06)⁶ = $24,469.45
Therefore from the amounts found using simple and compound interest formulas, we found that Carlie earns more interest than Jack by $1009.45.
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In a statistical test of hypotheses, we say the data are statistically significant at level α if.
If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .
What is hypotheses ?An assumption is said to as a hypothesis when it is supported by evidence. Any investigation that turns the research questions into predictions must start here. Variables, the population, and the relationships between the variables are among its constituent parts. A hypothesis used to examine the link between two or more variables is known as a research hypothesis.
One dependent variable and one independent variable are shown to be related. For instance, eating more vegetables will help you lose weight more quickly. In this scenario, increasing your vegetable intake is an independent variable, while weight loss is the dependent variable.
It makes a claim that conflicts with the premise. There is no connection between the independent and dependent variables, which is a negative assertion. The emblem stands for.
Hence, If the P value in a statistical test of hypotheses is more than, we may claim that the data are statistically significant at level. Less than is the P-value. =0.05 .
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Paul hits a baseball straight up in the air. The baseball is hit with an initial velocity of 70 feet per second when it is 3. 5ft off the ground. Write the quadratic function models the height h of the ball after t seconds in flight
The quadratic function that models the height h of the ball after t seconds in flight is h(t) = -16t² + 70t + 3.5.
When a ball is thrown straight up in the air, its height above the ground can be modeled by a quadratic function. The standard form of a quadratic function is h(t) = at² + bt + c, where a, b, and c are constants. In this case, the ball is thrown with an initial velocity of 70 feet per second, which means that its initial height is 3.5 feet (the height of the person throwing the ball).
The acceleration due to gravity is -32 feet per second squared (assuming the positive direction is upward), so the coefficient of the t² term is -16 (½ of -32). The coefficient of the t term is 70, since the initial velocity is 70 feet per second. The constant term is 3.5, since that is the initial height of the ball.
Therefore, the quadratic function that models the height h of the ball after t seconds in flight is h(t) = -16t² + 70t + 3.5. This function can be used to find the height of the ball at any time t after it is thrown.
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Given
mZQPS = 47°
mZRPS = 3x – 38°
mZQPR = 72 - 95°
Find mZQPR:
Answer:
47
Step-by-step explanation:
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
C. AB = 5.8 cm
Step-by-step explanation:
In trapezoid ABCD, EF is Midsegment.
\( \therefore EF =\frac{1}{2} (AB + CD) \)
\( \therefore 9.2 =\frac{1}{2} (AB + 12.6) \)
\( \therefore 9.2\times 2= AB + 12.6\)
\( \therefore 18.4= AB + 12.6\)
\( \therefore 18.4-12.6= AB \)
\( \therefore AB= 5.8 \: cm \)
Hope this helps!!!
Have a great day!!!
c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times
I don’t feel like typing
Answer:
A
Step-by-step explanation:
mass / volume
m/v
Answer: d = m/V
Step-by-step explanation: density is the mass divided by volume or d= m/V
Amanda uses the recipe shown to make trail mix for a camping trip. How many cups of M&M's will she need to make 180 cups of trail mix?
Answer:
40 cups
Step-by-step explanation:
7 part nuts and 2 parts M&M makes up 1 trail mix
7 and 2 part = 9 parts in total
There are 180 cups in total, so each part would be:
180/9 = 20 cups = 1 part
Now, we know there are 2 parts M&Ms and there are 20 cups in a part, so:
M&Ms required = 2 * 20 = 40 cups
See Picture below. Thanks
Answer:
The angle of DGC is 90 degrees
the value of x is positive 8
Step-by-step explanation:
xoxo brooke
Find the slope and this line.
I'm in a really big hurry can someone help me
Answer:
Step-by-step explanation:
HELP BRo
A large university accepts 70% of the students who apply. Of the students the university accepts 50% actually enroll if 30,000 students apply how many actually enroll
Answer:0.35
Step-by-step explanation:you will have to multiply 70% by 50% and that would give you your answer
I got 1 minute to do this dude
Answer:
Y=30x
Step-by-step explanation:
Y-total cost, so make everything equal to that. 30 is the amount she makes each month so multiply that with x.
what is 3 equivalent fractions of 2/10
Answer:
Step-by-step explanation:
1/5, 4/20/ 3/15, are three fractions equilvent to 2/10.
What is the probability that you would land on a R and then a P?
Answer:
multiply the probability of the first event by the second.
Step-by-step explanation:
Use the specific multiplication rule formula. Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.
Answer:
\(\frac{1}{26} * \frac{1}{26} = \frac{1}{676} = .00148.\)
Step-by-step explanation:
Multiply the probability of P by the probability of Q.
In which the probability of P is equal to \(\frac{R}{Total NumberOf LettersInAlphabet} = \frac{1}{26}\)
In which the probability of Q is equal to \(\frac{P}{Total NumberOf LettersInAlphabet} = \frac{1}{26}\)
There's a 1 in 676 chance that you'd randomly pick R, put the tile back in, and then pick P in a sack of 26 letters of the latin alphabet.
What are three key takeaways from the history of credit in America.
The first credit card was Diners Membership Card in 1950. In 1951 the Franklin National Bank issued the first credit card on Long Island, New York.
Credit card profitability didn't last very long before the others saw it, and by 1953 the United States has 60 credit card software.It has recorded the capacity to repay debts and has demonstrated its responsibility.The key purchases from US credit history are as follows:
The history of credit is a record of your debt repayment capabilities and your responsibility.The credit accounts type and number that users credited, the length of the opening of your account, the amount owing, the quantity of credit available, whether you are paying the bill on time, and the number of new credit requests.Benefits will be earned because of strong credit histories, such as cheaper loans and car insurance rates.Learn more:
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