Answer:
$0.40
Step-by-step explanation:
5.60/14 = .40
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
Is this right (plzzz help
Answer:
sorry bud dont know this
Step-by-step explanation:
sorry bud
Please do 9,10,11,12 fast please
Answer:
9) 1,2,3,6,9,18,27,54
10) 1, 2, 4, 5, 10, 20, 25, 50, 100
11) 1 , 3 , 5 , 15 , 25 and 75
12) 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 12 people took the trip. She was able to purchase coach tickets for $350 and first-class tickets for $1080. She used her total budget for airfare for the trip, which was $6390. How many first-class tickets did she buy? How many coach tickets did she buy?
Number of first-class tickets bought=
Number of coach tickets bought=
Answer: 9 first-class tickets and 3 coach tickets
Step-by-step explanation:
Let's set up a systems of equation because we have two different values involved: first-class and coach.
f + c = 12
350f + 1080c = 6390
For ease of the equation, let's use the first equation to isolate a variable and plug it into the second one. We'll isolate f:
f = 12 - c
350(12 - c) + 1080c = 6390
c = 3
Now, plug in 3 for the first equation, and f = 9.
There are 9 first-class tickets and 3 coach tickets.
Answer: 9 first-class tickets and 3 coach tickets
Step-by-step explanation:
i did this
2. Lorena is trying to choose between two different savings accounts at H-Town Bank. She will deposit $3,500 dollars and will leave the money in the account for 12 years. There will be no additional money deposited or withdrawn from the account.
Answer:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Choice 1 = X = Final Amount after 12 years = $5600
Choice 2 = Y = Final Amount after 12 years = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
Step-by-step explanation:
First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.
Initial Deposit Amount = $3500
Time period = 12 years
Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.
X = simple interest of 5% over the initial amount for 12 years.
Y = Compound interest 5% over the initial amount for 12 years.
Solution:
Let's calculate the profit for choice 1 = X
Simple interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P (1 + rt)
where, A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
Plug in the values to get the total amount.
A = 3500(1+0.05x12)
A = $5600 = final amount Lorena will get after 12 years.
Let's calculate the profit for choice 2 = Y
Compound interest = 5%
Initial amount = $3500
Time period = 12 years
Formula = A = P \((\frac{r}{n} + 1)^{nt}\)
where,
A = Final amount after 12 years
t = time period in years = 12
P = initial amount to be deposited = $3500
r = annual interest rate = 5%
n = number of times interest rate is applied or compounded. = 12
Plug in the values to get the total amount.
A = P \((\frac{r}{n} + 1)^{nt}\)
A = $6285.50
Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.
PLEASE HELP WHATS THE ANSWER
\(Hiya!\)
The answer is....
B. 4.
Hopefully, this helps you!!
\(Sokka\)
Answer:
D. it is 4&-4I hope it helps you :)
The following gives the number of accidents that occurred on Florida State Highway 101 during the last 4 months:
Month
Jan
Feb
Mar
Apr
Number of Accidents
30
40
60
95
Using the
least-squares regression method, the trend equation for forecasting is (round your responses to two decimal places)
y= _____+_____x
Using least-squares regression, the forecast for the number of accidents that will occur in the month of May = accidents (enter your response as a whole number).
The forecast for the number of accidents that will occur in the month of May is 110.
To find the trend equation for forecasting using the least-squares regression method, we need to perform a linear regression analysis on the given data.
Let's assign the variable x to represent the month number (1 for Jan, 2 for Feb, etc.) and y to represent the number of accidents.
Using the given data:
x: 1, 2, 3, 4
y: 30, 40, 60, 95
Step 1: Calculate the means of x (bar) and y (bar):
x(bar) = (1 + 2 + 3 + 4) / 4 = 2.5
y(bar) = (30 + 40 + 60 + 95) / 4 = 56.25
Step 2: Calculate the deviations from the means (dx and dy):
dx = x - x(bar)
= 1 - 2.5, 2 - 2.5, 3 - 2.5, 4 - 2.5
= -1.5, -0.5, 0.5, 1.5
dy = y - ȳ = 30 - 56.25, 40 - 56.25, 60 - 56.25, 95 - 56.25
= -26.25, -16.25, 3.75, 38.75
Step 3: Calculate the product of the deviations (dxdy):
dxdy = dx * dy
= (-1.5) * (-26.25), (-0.5) * (-16.25), 0.5 * 3.75, 1.5 * 38.75
= 39.375, 8.125, 1.875, 58.125
Step 4: Calculate the squared deviations (dx² and dy²):
dx² = dx * dx
= (-1.5) * (-1.5), (-0.5) * (-0.5), 0.5 * 0.5, 1.5 * 1.5
= 2.25, 0.25, 0.25, 2.25
dy² = dy * dy
= (-26.25) * (-26.25), (-16.25) * (-16.25), 3.75 * 3.75, 38.75 * 38.75
= 689.0625, 264.0625, 14.0625, 1503.125
Step 5: Calculate the sum of the squared deviations (Σdx² and Σdy²):
Σdx² = 2.25 + 0.25 + 0.25 + 2.25 = 5
Σdy² = 689.0625 + 264.0625 + 14.0625 + 1503.125 = 2470.3125
Step 6: Calculate the sum of the product of the deviations (Σdxdy):
Σdxdy = 39.375 + 8.125 + 1.875 + 58.125 = 107.5
Step 7: Calculate the slope (b):
b = Σdxdy / Σdx² = 107.5 / 5 = 21.5
Step 8: Calculate the y-intercept (a):
a = y(bar) - b * x(bar)
= 56.25 - 21.5 * 2.5
= 56.25 - 53.75
= 2.50
Therefore, the trend equation for forecasting is:
y = 2.50 + 21.50x
To find the forecast for the number of accidents in May (x = 5), substitute x = 5 into the equation:
y = 2.50 + 21.50 * 5
= 2.50 + 107.50
= 110
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QUICK ANSWERS ONLY! 47. Find the value of x. The diagram is not to scale.4242402323A. 80B. 84C. 40D. 46
The first Option is the correct option
Whats number 11 algebra 1
Answer:
C
Step-by-step explanation:
think of this… y-intercept is usually on the right and usually slope is in the middle of the equation
Answer:
Step-by-step explanation:
C might be the answer
Triangle A
Triangle B
Which of the following sequences of transformations will carry triangle A onto triangle B?
O A. Rotate triangle A 90° clockwise about (-1,-4), reflect it over the x-axis, and translate it 3 units to the left.
ОВ.
Translate triangle A 1 unit up and 1 unit to the left, rotate it 90° clockwise about the origin, and reflect it over the y-axis.
Answer:
A
Step-by-step explanation
A
Answer:
Do not trust his answer!! its B
Step-by-step explanation:
I did this question and i picked A because the other person said too but it was wrong
If f(x)= 3x squares +1 and g(x) =1-x what is the value of (f-g)(2)
Answer: (f-g)(2)=14
Step-by-step explanation:
(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.
Method 1
f(2)=3(2)²+1 [exponent]
f(2)=3(4)+1 [multiply]
f(2)=12+1 [add]
f(2)=13
g(2)=1-(2) [subtract]
g(2)=-1
(f-g)(2)=13-(-1) [subtract f(2) and g(2)]
(f-g)(2)=14
--------------------------------------------------------------------------------------------------------
Method 2
(f-g)(x)=3x²+1-(1-x) [distribute -1]
(f-g)(x)=3x²+1-1+x [combine like terms]
(f-g)(x)=3x²+x
(f-g)(2)=3(2)²+2 [plug in x=2, exponent]
(f-g)(2)=3(4)+2 [multiply]
(f-g)(2)=12+2 [add]
(f-g)(2)=14
--------------------------------------------------------------------------------------------------------
Now, we know that (f-g)(2)=14. We confirmed this with both methods.
Pls help me with 10 asap I will mark brainiest if it’s correct
The value of p from the given equation is 4.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign \(=\\\).
The given equation is \(0.5p-3.45=-1.2\)
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
\(0.5p-3.45=-1.2\)
\(0.5p= -1.2+3.45\)
\(0.5p= 2.25\)
\(p= 2.25\div0.5\)
\(p= 4.5\)
Therefore, the value of p is 4.5.
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Two dogs run around a circular track 300 m long. One dog runs at a steady rate of 15m per second, the other at a steady rate of 12 m per second. Suppose they'd tart at the same point and time. What is the least number of seconds that will elapse before they are again together at the starting point?
Answer:
300 seconds
Step-by-step explanation:
The first dog run at v₁ = 15 m/sec the second one run at v₂ = 12 m/sec
we know that d = v*t then t = d/v
Then the first dog will take 300/ 12 = 25 seconds to make a turn
The second will take 300 / 15 = 20 seconds to make a turn
Then the first dog in 12 turns 12*25 will be at the start point, and so will the second one at the turn 15.
To check first dog 12 * 25 = 300
And the second dog 15 * 20 = 300
That means that time required for the two dogs to be at the start point together is
300 seconds, in that time the first dog finished the 12 turns, and the second had ended the 15.
Another procedure to solve this problem is as follows:
between 12 m/sec and 15 m/sec the minimum common multiple is 300 ( 300 is the smaller number that accept 12 and 15 as factors 12*15 = 300) Then when time arrives at 300 seconds the two dogs will be again in the starting point
A bug crawls up a pole 2in. in 2min., then slips down 1in. in 1min,, then crawls up 2in. in 2min., and so on. At this rate, how long will it take the bug to reach the height of 10in.
Answer: It would take the bug 26min to clime the pole
Step-by-step explanation: For me I drew a pole and labeled it like a number line.
1. use or make a number line and plot 0-10 on it.
2. jump 2 points from 0 on the number line
3. Jump backwards once to make the equation accurate
4. plot the times it takes along the way to find the answer until you get to 10
I hope
Geometry- finding the volume. Please help I’m confused?!
Answer:
V = 5/3πr³1130.4 in³Step-by-step explanation:
You want a formula for the volume of the given figure, which is a hemisphere of radius r atop a cylinder of the same radius and height r.
Volume formulasThe volume of a sphere is given by ...
V = (4/3)πr³
The volume of a cylinder is given by ...
V = πr²h
CompositionThe given figure is composed of half a sphere, and a cylinder. The total volume will be the sum of the volumes of these parts.
total volume = 1/2(sphere volume) + (cylinder volume)
A Total volumeUsing a height of r for the cylinder, we can substitute the above formulas to get ...
total volume = 1/2(4/3πr³) +(πr²·r)
total volume = 2/3πr³ + πr³ = (2/3 +1)πr³
total volume = (5/3)πr³
B How much glassWhen the height is 12 inches, the radius is 6 inches, so the volume of the object is ...
total volume ≈ (5/3)(3.14)(6 in)³ = 1130.4 in³
About 1130.4 cubic inches of glass will be needed for a paperweight that is 12 inches tall.
What is the probability that a simple random sample of 45 unemployed individuals will provide a sample mean within 1 week of the population mean
The probability that a simple random sample of 45 unemployed individuals will provide is 0.7372
Here, μ = 17.5, σ = 0.8944, x1 = 16.5 and x2 = 18.5.
We need to compute P(16.5<= X <= 18.5).
The corresponding z-value is calculated using Central Limit Theorem.
z = (x - μ)/σ
z1 ⇒ (16.5 - 17.5)/0.8944 = -1.12
z2 ⇒ (18.5 - 17.5)/0.8944 = 1.12
Therefore, we get
P(16.5 <= X <= 18.5) = P((18.5 - 17.5)/0.8944) <= z <= (18.5 - 17.5)/0.8944)
⇒ P(-1.12 <= z <= 1.12) = P(z <= 1.12) - P(z <= -1.12)
⇒ 0.8686 - 0.1314 = 0.7372
The principal limit theorem states that if you have a population with imply μ and trendy deviation σ and take sufficiently huge random samples from the populace with alternative, then the distribution of the pattern method may be about usually distributed.
The relevant limit theorem (CLT) states that the distribution of pattern manner approximates a normal distribution as the pattern size gets larger, regardless of the population's distribution. sample sizes identical to or extra than 30 are often considered enough for the CLT to preserve.
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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, what is the linear speed of the car in miles per hour? Round your answer to the nearest tenth.
Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:
Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep
4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3
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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.
To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:
Calculate the circumference of the wheel:
The circumference of a circle is given by the formula
C = 2πr
where r is the radius of the wheel.
In this case, the radius is 30 inches, so the circumference is
C = 2π(30)
= 60π inches.
Calculate the distance traveled in one revolution:
Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.
Calculate the distance traveled in one minute:
Multiply the distance traveled in one revolution by the number of revolutions per minute.
In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.
Convert the distance to miles per hour:
There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.
Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.
The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.
Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.
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what is the probability that the length of stay in the icu is one day or less (to 4 decimals)?
The probability that the length of stay in the ICU is one day or less is approximately 0.0630 to 4 decimal places.
To calculate the probability that the length of stay in the ICU is one day or less, you need to find the cumulative probability up to one day.
Let's assume that the length of stay in the ICU follows a normal distribution with a mean of 4.5 days and a standard deviation of 2.3 days.
Using the formula for standardizing a normal distribution, we get:z = (x - μ) / σwhere x is the length of stay, μ is the mean (4.5), and σ is the standard deviation (2.3).
To find the cumulative probability up to one day, we need to standardize one day as follows:
z = (1 - 4.5) / 2.3 = -1.52
Using a standard normal distribution table or a calculator, we find that the cumulative probability up to z = -1.52 is 0.0630.
Therefore, the probability that the length of stay in the ICU is one day or less is approximately 0.0630 to 4 decimal places.
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17 1/2 as a decimal ?
Answer:
17.5
Step-by-step explanation:
17 1/2 - 1/2 = 17. We do this to isolate 1/2
1/2 = 0.5
17 + 0.5 = 17.5
(a) AUB= BUA (b) An BAC = CABA always true O sometimes true O always true sometimes true O never true never true (c) ( AB)' = (BNA) (d) A = A' O always true sometimes true e O always true O sometimes true O never true never true (2) AUC = A (f) AUB= BUC O always true always true O sometimes true sometimes true never true never true
AUB = BUC: never true
AUB = BUA: always true
An BAC = CABA: never true
(AB)' = (BNA): sometimes true
A = A': always true
AUC = A: sometimes true
AUB = BUC: never true
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Complete the square
x^2 - 2x - 14 = 0
explain the meaning of each of the following.limx→−8f(x)=[infinity]
This means that as x gets closer and closer to -8 from the left side, the values of f(x) become arbitrarily large and unbounded. In other words, there is no finite number that can be used to bound the values of f(x) as x approaches -8 from the left.
The expression limx→−8f(x)=[infinity] represents the limit of the function f(x) as x approaches -8 from the left side of the number line, and the limit is equal to infinity.
This means that as x gets closer and closer to -8 from the left side, the values of f(x) become arbitrarily large and unbounded. In other words, there is no finite number that can be used to bound the values of f(x) as x approaches -8 from the left. This is often interpreted to mean that the function has a vertical asymptote at x = -8, where the function approaches infinity as x approaches -8 from the left side.
It is important to note that the notation [infinity] is used here to indicate an unbounded value, and is not a literal representation of infinity as a number. The limit of f(x) as x approaches -8 from the right side may be a different value or may not exist at all.
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Given the function f(x) = 3x 1 and the linear function g(x), which function has a greater slope? positive linear function increasing through 2 comma 3 and 3 comma 7 f(x) has a greater slope. g(x) has a greater slope. the slopes of f(x) and g(x) are the same. the slope of g(x) is undefined.
The correct option is f(x) is greater than g(x).Because we get the new function by putting value of x. we get by performing f first and then performing g.
what is linear function?A linear function is a function that has either one or two variables without exponents.Linear functions has a graph in a straight line.The slope of linear function is always constant because the slope of a straight line is always constant.
How do we find function of f and g?The function f with g is (f∘g)(x)=f(g(x)) and is read f of g of x . It means that wherever there is an x in the function f , it is replaced with the function g(x).we can find f(x) and g(x) by adding value of x in the function.
Now we have
f(x)=3x+1
when x=3 we get
f(x)= 3(3) +1
f(x) = 10
Similarly from graph of g(x)
when x=3
g(x)=7
g(3)=7
f(3) > g(3)
Hence proved that f(x) is greater than g(x).
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A triangle has side lengths of 14 cm and 8 cm. Which could be the value of the third side, 26 cm or 18 cm?
The sum of two consecutive numbers is 175. Find the numbers. Write your answer as two numbers separated by a comma
Please help me with this question will give BRAINLIST to best answer
Answer:
9/12
Step-by-step explanation:
x^2 = 81/144 find the root for both sides
The root of 81 is 9 and the root of 144 is 12
x = 9/12
HELP MEEEEEEEEE PLSS
Answer: 8/63
Step-by-step explanation:
Just divide it
Answer:
The answer is 8/63.
When u get two fractions like that, u gotta flip the bottom one upside down. So that the bottom number is on the top and the top number is on the bottom.
Find the equation of the linear function z=c+mx+ny whose graph intersects the xz - plane in the line z=4x+10= and intersects the yz - plane in the line z=6y+10
The equation of the linear function is:
z = 10 + 4x + 6y
To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.
Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.
When the graph intersects the xz-plane (y = 0), we have:
z = c + mx + n(0) = c + mx
Comparing this with z = 4x + 10, we can equate the coefficients:
c = 10 (the constant term)
m = 4 (the coefficient of x)
When the graph intersects the yz-plane (x = 0), we have:
z = c + m(0) + ny = c + ny
Comparing this with z = 6y + 10, we can equate the coefficients:
c = 10 (the constant term)
n = 6 (the coefficient of y)
Therefore, the equation of the linear function is:
z = 10 + 4x + 6y
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Prove that the roots of x^2 +(1-k)x+k-3=0 are real for all real values of k
Answer:
the discriminant is positive, so there are 2 distinct real roots
Step-by-step explanation:
The discriminant of quadratic ax²+bx+c=0 is given by ...
d = b² -4ac
The value of the discriminant for the given equation is ...
d = (1 -k)² -4(1)(k-3) = 1 -2k +k² -4k +12
d = k² -6k +13 = (k -3)² +4
The squared term in the sum cannot be negative, so the value of the discriminant is at least +4. For any positive value of the discriminant, the quadratic will have two real roots.
Based on an 8-hour day, the number of hours worked in a hospital food service department was 55,267/yr., and the total number of hours paid was 59,995/yr. The actual number of productive FTEs was:
That year FTE was 26.
According to statement
Labor hours worked that year = 55,267
Total number of hours paid that year = 59,995
The total number of hours during the year
8 hours × 5 days × 52 weeks = 2080 hours
Now we find the FTE per year
So, FTE/YEAR = Labour works on that year / total number of hours in year
Substitute the values in it then
FTE/YEAR = 55267/2080
FTE/YEAR = 26
So, That year FTE was 26.
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