Answer:
≈ 201 c m ^2
Explanation:
The area of a circle is given by formula:
π r ^2
π has a constant value of 3.14
And the radius of the circle is , half the diameter = d /2 = 16 /2 = 8 c m (assuming the unit to be in cm)
The area = π r ^2 = 3.14 × ( 8 ) ^2 c m ^2
= 3.14 × ( 64
) = 200.96 c m ^2
≈ 201 c m ^2
Is 5 a solution to the equation 3x + 9 = 18? You must explain your answer.
Answer:
NO
Step-by-step explanation: No because 3 times 5 is 15 plus 9 will be 24 not 18.
carl is making the kite shown (shorter side measure 24 inches) with a perimeter of 120 inches write an equation that could be used to find the length x of each of the longer sides
the length of each longer side of the kite is 36 inches.
How can we get the peremiter?
Let's call the length of each longer side of the kite "x". The shorter side measures 24 inches. The perimeter of the kite is the sum of the lengths of all four sides, so we have:
Perimeter = 2(longer side) + 2(shorter side)
Substituting the values we have:
120 = 2x + 2(24)
Simplifying and solving for x, we get:
120 = 2x + 48
2x = 120 - 48
2x = 72
x = 36
Therefore, the length of each longer side of the kite is 36 inches.
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What is the equation for f(x)?
The solution is:
The inverse of the given equation is ±sqrt(x+1).
Here, we have,
given equation is :
y = x^2 -1
now, we have to find the inverse of the given equation
so, we have,
Exchange x and y, we get,
x = y^2 -1
Solve for y, we get,
Add 1 for each side
we get,
x+1 = y^2-1+1
x+1 = y^2
Take the square root of each side
we get,
±sqrt(x+1) = sqrt(y^2)
±sqrt(x+1) = y
The inverse is ±sqrt(x+1)
Hence, The solution is:
The inverse of the given equation is ±sqrt(x+1).
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complete question:
If f(x) = x^2 -1, what is the equation for f–1(x)?
Picture shown below!
Functions.
Function B has greater rate of change.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
Rate of change of a linear function is it's slope and is constant.
Slope of a linear function through two points (x, y) and (x', y') is,
slope = (y' - y) / (x' - x)
Let m₁ be the slope of function A and m₂ be the slope of function B.
Function A :
Consider two points from the table, (1, 5) and (2, 7) of function A.
Slope, m₁ = (7 - 5) / (2 - 1) = 2 / 1 = 2
Function B :
Consider two points from the graph, (1, 1) and (2, 4).
Slope, m₂ = (4 - 1) / (2 - 1) = 3 / 1 = 3
m₂ = 3 > m₁ = 2
Hence rate of change for function B is greater than that of function A.
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four-fifths of the people that kyle and melissa invited to their wedding responded indicating that they are coming however, of those that responded, 19 did not show up if there were a total of 121 guests at their wedding how many did they invite
Answer:
175 guests
Step-by-step explanation:
19 + 121 = 4/5x
140= 4/5x (multiply by the reciprocal of 4/5 to get x by itself: 5/4)
140 x 5/4 = x
x= 175
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.
Use geometry to evaluate
Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!
Apply the distributive property to the expression to write an equivalent expression.
5x + 35
Complete the statements.
Find the GCF of
.
Now, factor out the GCF by dividing each term in the expression by
.
5x divided by the GCF is
, and 35 divided by the GCF is
.
The equivalent expression is
.
SOMEONE PLS HELP I'M. DYING PLS
Answer:
I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is : D A B B C your welcome
V=u+ at
u=2 a= -5 t=1/2
work out the value of v
Answer:
V = -0.5
Step-by-step explanation:
Step 1: Define
V = u + at
u = 2
a = -5
t = 0.5
Step 2: Substitute and Evaluate
V = 2 + (-5)(0.5)
V = 2 - 2.5
V = -0.5
How do i round 3,842,532 to the nearest 1,000?
Answer:
until you only look at the thousands and hundreds place and if the hundred is 5 or more you round the thousands up one
so 3,842,532 rounded the the nearest 1000 is 3,843,000
Using vertex find the quadratic function. I need this answer asap due in 15 mins
Answer:
Step-by-step explanation:
The general form of a quadratic function is given by:f(x) = ax^2 + bx + cwhere a, b, and c are constants.To find the specific equation of a quadratic function with a given vertex and a point on the graph, we can use the vertex form of the quadratic function:f(x) = a(x - h)^2 + kwhere (h, k) is the vertex.Using the given vertex (0, 3), we have:f(x) = a(x - 0)^2 + 3Simplifying, we get:f(x) = ax^2 + 3Now we can use the given point (2, 7) to find the value of a.Substituting x = 2 and y = 7 into the equation above, we get:7 = a(2)^2 + 3Simplifying, we get:7 = 4a + 34a = 4a = 1Therefore, the general form of the quadratic function is:f(x) = x^2 + 3
A sightseeing company charges $16.75 for a scooter rental, plus an additional $5.50 per hour that the scooter is rented. Partial hour
rentals are allowed. The total charge for a certain rental is $30.50.
How long was the scooter rented?
Enter your answer in the box.
Answer:
2.5 hours
Step-by-step explanation:
The cost of the rental - the scooter rental = 30.50 - 16.75, which equals 13.75.
Divide the additional per hour by that number.
13.75 / 5.5 = 2.5
Therefore, the scooter was rented for 2.5 hours.
Answer:
2.5
Step-by-step explanation:
13.75 / 5.5 = 2.5
The figure shows a line graph and two shaded triangles to find the slope: (picture below)
Which statement about the slope of the line is true? SHOW YOUR WORK. (5 points)
a
The slope of the line is 3.
b
The slope of the line is fraction 1 over 3 .
c
The slope of the line is 1.
d
The slope of the line is 2.
Answer:
the answer is d because it is
Answer:
D is the slope
Step-by-step explanation:
Please someone help me graph the table on to the graph and tell me if it is a linear and nonlinear and explain how it is a linear or a nonlinear
Answer:
linear
Step-by-step explanation:
m = \(\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}\) = \(\frac{-4}{1}\) = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.
equation of the function is y = - 4x + 14 ⇒ function is linear
In 1990, there were 4,500 deaths due to lung diseases in miners aged 20 to 64 years. The expected number of deaths in this occupational group, based on age-specific deaths rates from lung diseases in all males aged 20 to 64 years, was 1,800 during 1990. What is the standardized mortality ratio (SMR) for lung disease in miners
Answer:
2.5
Step-by-step explanation:
We have that the standardized mortality ratio (SMR) is the relationship between the number of deaths observed in a year, that is, those that occurred and the number of expected deaths, that is, those that were predicted.
SMR = observed / expected
therefore if we replace we have:
SMR = 4500/1800
SMR = 2.5
Which means that the standardized mortality ratio (SMR) is 2.5
A coin having probability p=2/3 of coming up heads is flipped 6 times. Compute the entropy of the outcome of this experiment.
The entropy of the outcome of this experiment = 9
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Given that,
A coin having probability p=2/3
Heads is flipped 6 times
If the coin is flipped 6 times
The Total Number of Trial in the Experiment =2/3
It comes up heads 6 times
This Means: Number of Successful Outcome of HEADS =6
In an experimental probability,
Experimental probability of the coin’s coming up heads
=Number of Successful Outcome of HEADS/Total Number of Trials in the Experiment
= 6/(2/3)
= 6*3/2
= 18/2
= 9
Therefore,
The entropy of the outcome of this experiment = 9
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exponential
quadratic
linear
power
The best regression to fit the data set is C. a linear regression.
How to explain the regressionThe linear regression equation is: y = -0.0058x + 11746
where:
y is the orbital speed in kilometers per second
x is the distance from the sun in millions of kilometers.
The R-squared value for this model is 0.999, which indicates that the model fits the data very well. The residual standard error is 10.2 kilometers per second, which is a small value.
This indicates that the model is accurate and that the predicted values are close to the actual values.
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A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
What’s the correct answer for this?
Answer:
A number, such as 10 is a composite number because it is even.
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Write the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7. Type your answer in the box provided or use the upload option to submit your solution.
Answer:
y = x - 1
Step-by-step explanation:
If it's parallel to x - y = 7, that means the slope of that equation is the slope for the equation you're looking for.
To get the slope, you need to put the given equation into slope intercept form, so move x to the other side. You should get: -y = 7 - x
Then, to get the y positive, divide by -1: y = -7 + x
Slope intercept form is as follows: y = mx + b, so whatever the number is in front of x is your slope. In this instance, your slope is 1.
You now have your slope, and a point in which your new line passed through. Using slope intercept form, y = mx + b, if you substitute in what you know, you can find your answer. Right now you know y, m, and x, and you're looking for b.
x=1; y=0; m=1.
So, substituting, you'd get 0 = (1)(1) + b
0=1+b Solve
You should get b= -1, leaving your final answer as y = x - 1
y=x+1 is the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.
The slope will be same as it is parallel.
x - y = 7.
-y=7-x
y=x-7
Slope is 1.
Now equation of line passing through (1,0)
0=1(1)+c
c=-1
y=x-(-1)
y=x+1
Hence y=x+1 is the slope-intercept form of the line that passes through the point (1, 0) and is parallel to x - y = 7.
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I WILL MARK AS BRANLIEST!
Chad is packing to go to college he packed 6 Mario games and nine brand new textbooks in a box the total weight of the box was 21 pounds realizing the box still had room and how strong he is, he put two more games in the box the new weight of the box is 22 pounds
What is the weight of one textbook and what is the weight of one game.
Answer:
0.5 pounds is one game
2 pounds is one textbook
Step-by-step explanation:
g = games
t = textbooks
Let's start with how much a game weighs. We know that when Chad added two more games the weight of the box increased by one pound (it was previously 21 pounds and then went to 22 when the two games were added). This means one game equals half of a pound (or 0.5 lbs.)...
\(2g = 1\)
\(\frac{2g}{2} = \frac{1}{2}\) -> if you divide one side by two, you must do the same to the other.
\(g = \frac{1}{2} = 0.5\)
Now that we know the weight of the games, we can figure out the weight of the textbooks.
\(6g + 9t = 21\) -> 6 games and 9 textbooks weigh 21 pounds.
Plugging in that each game is 0.5 pounds...
\(6(0.5) + 9t = 21\)
\(3 + 9t = 21\)
\(3 - 3 + 9t = 21 - 3\)
\(9t = 18\)
\(\frac{9t}{9} = \frac{18}{9}\)
\(t = 2\)
That means that each textbook equals 2 pounds.
I hope this helps!
What is the first step to solve 2 (x - 2)< (1 + 2) + 5
Answer:
The first step would be to distribute the 2 outside of the parenthesis
Then the left side of the equation would look like: 2x-4
Step-by-step explanation:
9514 1404 393
Answer:
add 1+2
Step-by-step explanation:
According to the Order of Operations, the first step is to evaluate expressions in parentheses. Here, there are two expressions in parentheses: (x -2) and (1 +2). The first one cannot be evaluated. So, the first step is to evaluate ...
(1 +2) = 3
Then the inequality becomes ...
2(x -2) < 3 +5
Evaluate the following expression:
7× + 5y
Answer:
I think this question is incomplete or maybe incorrect but if it's OK then the answer would be 7x + 5y.
Step-by-step explanation:
the answer remains the same because the question has no like terms so no further calculations can be made.
Question 1 0.1 pts The initial cost of a pickup truck is $12,659 and will have a salvage value of $3,580 after five years. Maintenance is estimated to be a uniform gradient amount of $135 per year, with zero dollar for first year maintenance. The operation cost is estimated to be $0.2 per mile for 344 miles per month. If the interest rate is 12%, what is the annual equivalent cost (AEC) for the truck? Enter your answer as follow: 123456
The annual equivalent cost (AEC) for the pickup truck is $4,308. We found the equivalent uniform annual cost (EUAC) first.
To calculate the AEC, we need to first find the equivalent uniform annual cost (EUAC) which includes both the initial cost and the present value of the maintenance and operation costs.
Find the present value of maintenance costs over five years using the gradient formula:
PV maintenance = A * [(1+i)^n - (1+i- g)^n] / [i - g]where A = $135, i = 12%, g = 0, n = 5
PV maintenance = $501.21
Find the present value of operating costs over five years using the present value formula:
PV operation = C * [1 - (1 + i)^-n] / iwhere C = $0.2/mile * 344 miles/month * 12 months/year = $827.52/year, i = 12%, n = 5
PV operation = $3,322.08
Find the EUAC using the formula:
EUAC = (initial cost + PV maintenance + PV operation) * A/Pwhere A/P = [(1+i)^n * i] / [(1+i)^n - 1]
EUAC = ($12,659 + $501.21 + $3,322.08) * 0.1464EUAC = $2,219.77Finally, convert the EUAC to AEC by adding the present value of the salvage value and multiplying by the interest rate:
AEC = (EUAC + PV salvage) * iwhere PV salvage = $3,580 / \((1+i)^5\)
AEC = ($2,219.77 + $2,267.03) * 0.12AEC = $4,308.Learn more about Cost and Estimate:
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Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
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How tall is a pole if a 40 ft guy wire reaches from the top of that pole
to a point on the ground 19 ft from the bottom of the pole?
Graph the line. pllzzzzzzzz
Answer:
Step-by-step explanation:
X: -2, -1, 0, 1, 2,...
Y: -2, -1, 0, 1, 2,...
(y=x)
A boxcar contains six complex electronic systems. Two of the six are to be randomly selected for thorough testing and then classified as defective or not defective.
a. If two of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective. Find the probability that both are defective.
b. If four of the six systems are actually defective, find the probabilities indicated in part (a).
Answer:
Step-by-step explanation:
Number of electronic systems = 6
(a) Number of defected systems = 2
Probability of getting at least one system is defective
1 defective and 1 non defective + 2 defective
= (2 C 1 ) x (4 C 1) + (2 C 2) / (6 C 2)
= 3 / 5
(b) four defective
Probability of getting at least one system is defective
2 defective and 2 non defective + 3 defective and 1 non defective + 4 defective
= (4 C 2 ) x (2 C 2) + (4 C 3 )(2 C 1) + (4 C 4) / (6 C 4)
= 1
Answer:
(a)P(At least one defective)\(=0.6\)
P(Both are defective)\(=0.067\)
(b)P(At least one defective)\(=14/15\)
P(Both are defective)\(=0.4\)
Step-by-step explanation:
We are given that
Total number of complex electronic system, n=6
(a)Defective items=2
Non-defective items=6-2=4
We have to find the probability that at least one of the two systems tested will be defective.
P(At least one defective)=\(\frac{2C_1\times 4C_1}{6C_2}+\frac{2C_2\times 4C_0}{6C_2}\)
Using the formula
\(P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}\)
P(At least one defective)\(=\frac{\frac{2!}{1!1!}\times \frac{4!}{1!3!} }{\frac{6!}{2!4!}}+\frac{\frac{2!}{0!2!}\times \frac{4!}{4!}}{\frac{6!}{2!4!}}\)
Using the formula
\(nC_r=\frac{n!}{r!(n-r)!}\)
P(At least one defective)\(=\frac{2\times \frac{4\times 3!}{3!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}+\frac{1}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)
P(At least one defective)\(=\frac{2\times 4}{3\times 5}+\frac{1}{3\times 5}\)
P(At least one defective)\(=\frac{8}{15}+\frac{1}{15}=\frac{9}{15}\)
P(At least one defective)\(=\frac{3}{5}=0.6\)
Now, the probability that both are defective
P(Both are defective)=\(\frac{2C_2\times 4C_0}{6C_2}\)
P(Both are defective)=\(\frac{\frac{2!}{0!2!}\times \frac{4!}{4!}}{\frac{6!}{2!4!}}\)
P(Both are defective)\(=\frac{1}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)
P(Both are defective)\(=\frac{1}{3\times 5}\)
P(Both are defective)\(=0.067\)
(b)
Defective items=4
Non- defective item=6-4=2
P(At least one defective)=\(\frac{4C_1\times 2C_1}{6C_2}+\frac{4C_2\times 2C_0}{6C_2}\)
P(At least one defective)\(=\frac{\frac{4!}{1!3!}\times \frac{2!}{1!1!} }{\frac{6!}{2!4!}}+\frac{\frac{4!}{2!2!}\times \frac{2!}{2!}}{\frac{6!}{2!4!}}\)
P(At least one defective)\(=\frac{2\times \frac{4\times 3!}{3!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}+\frac{\frac{4\times 3\times 2!}{2!\times 2\times 1}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)
P(At least one defective)\(=\frac{2\times 4}{3\times 5}+\frac{2\times 3}{3\times 5}\)
P(At least one defective)\(=\frac{8}{15}+\frac{6}{15}=\frac{8+6}{15}\)
P(At least one defective)\(=\frac{14}{15}\)
P(Both are defective)\(=\frac{4C_2\times 2C_0}{6C_2}\)
P(Both are defective)\(=\frac{\frac{4\times 3\times 2!}{2\times 1\times 2!}\times \frac{2!}{2!}}{\frac{6\times 5\times 4!}{2\times 1\times 4!}}\)
P(Both are defective)\(=\frac{\frac{4\times 3\times 2\times 1}{2\times 1\times 2\times 1}}{3\times 5}\)
P(Both are defective)\(=\frac{6}{15}=0.4\)
P(Both are defective)\(=0.4\)
can you plz help me with this
Answer:
Step-by-step explanation:
im traade =23423423423