A.67 degree
B.79 degree
C.93 degree
D.101 degree
Answer:
Hi! The trouble here is converting the minutes and seconds of the angles. Complimentary angles total 90 degrees. There are 60 minutes in one degree, so you actually have 89 degrees and 60 minutes. There are 60 seconds in a minute, so now you have 89 degrees, 59 minutes, and 60 seconds. Now you can subtract:
89-27 = 62 degrees
59-35 = 24 minutes
60-15 = 45 seconds
So the compliment is 62024'45"
The same logic happens for the supplement except you have 179 degrees 59 minutes and 60 seconds.
179-27 = 152
59-35 = 24
60-15 = 45
So the supplement is 152024'45"
Hope this helps
Step-by-step explanation:
Answer:
ask your momma about that please
Step-by-step explanation:
ask aka talk
the answer is c
Divide 5 by 1,000 and round to the nearest whole number
Answer:
1
Step-by-step explanation:
5÷1000=0.005
0.005 ≈ 1 (1 is the nearest whole number)
Hope this helps!
The number 5 divided by 1,000 is approximately 0 when rounded to the nearest whole number.
To divide 5 by 1,000, we simply perform the division:
5 ÷ 1,000 = 0.005
Now, to round the result to the nearest whole number, we examine the first decimal place. Since it is less than 5, we round down to the nearest whole number.
Thus, the rounded result is 0.
Rounding is a process used to simplify numbers to a certain level of precision. When rounding to the nearest whole number, we look at the digit to the right of the decimal point (the first decimal place). If this digit is 5 or greater, we round up to the next whole number. If it is less than 5, we round down to the current whole number.
In this case, 0.005 is less than 0.5, so we round down to 0.
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7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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Find the greatest possible error for each measurement. 1 1/4
Answer:
12 should be 1 as in 1 foot. 1' 1/4"
Step-by-step explanation:
A car company tested a sports car on a road with different inclines. the test driver tested the car by driving a distance of x miles on a flat road, (x2 3) miles downhill, and (x − 7) miles uphill. which simplified expression is equivalent to the total distance, in miles, for which the car was tested? 3x2 − 4 3x2 10 x2 2x − 4 x2 2x 10
Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .
Total distance drive on flat road = x miles
Total distance drive on downhill = (x²+ 3) miles
Total distance drive on uphill = ( x - 7 ) miles
Simplified expression which is equivalent to total distance drive by a car
= Distance drive on ( flat road + downhill + uphill )
= ( x + x²+ 3 + x - 7 ) miles
= ( x² + 2x - 4 ) miles
Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c. ( x² + 2x - 4 ) miles.
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The above question is incomplete , the complete question is:
A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road, (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?
a.3x² _ 4
b. 3x² + 10
c. x² + 2x - 4
d. x² + 2x + 10
A rock is tossed over a seaside cliff. The equation y=−16x^2+50x+118 gives the height of a rock above sea level. How long until the rock hits the water?
Vanessa bought a laptop at a 20% discount. The original price of the laptop was $275.00. How much money did Vanessa save?
Answer:
$55.00
Step-by-step explanation:
20% of 275 is 55. Meaning she saved 55 dollars.
Answer:
Vanessa saved $55, and she only had to pay $220.
Step-by-step explanation:
First we need to convert 20% into a decimal, 0.20.
Now we need to multiply 275 and 0.20.
275 × 0.20 = 55
275 - 55 = 220
area of a rectangle with sides measuring 34.5 and 45.3 feet
Answer:
1,562.85
Step-by-step explanation:
34.5 times 45.3
Answer:
1562.85 ft^2
Step-by-step explanation:
area is L x W
plug in 34.5 and 45.3
34.5 x 45.3 = 1562.85
thus, our final answer is 1562.85
nnings divides her subjects into two groups. Half of the subjects listen to classical music while studying, and the other half of the subjects study in silence. Then, she gives each subject a test of the material they just studied. The dependent variable is
The dependent variable in this study is the test scores of the subjects. In the study described, the researcher is interested in examining the effect of listening to classical music while studying on subsequent test performance.
The dependent variable is the test scores that the subjects receive after studying, which is the outcome that the researcher is interested in measuring and comparing between the two groups of subjects (those who listened to classical music and those who studied in silence).
By randomly assigning subjects to either the classical music or silence condition, the researcher can control for potential confounding variables (such as prior knowledge of the material or motivation to perform well on the test) that might otherwise affect the results. This allows the researcher to more confidently attribute any observed differences in test scores to the manipulation of the independent variable (listening to classical music) and draw conclusions about its effect on test performance.
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Suppose X has a geometric distribution with probability 0.3 of success and 0.7 of failure on each observation. The probability that X=4 is
(a) 0.0081
(b) 0.0189
(c) 0.1029
(d) 0.2401
(e) none of the above
The probability that X=4 is (c) 0.1029.The probability that X=4 in the given geometric distribution is 0.1029, which corresponds to option (c).
In a geometric distribution, the probability of success (p) is given as 0.3 and the probability of failure (q) is 0.7. The probability mass function (PMF) of a geometric distribution is given by P(X=k) = (1-p)^(k-1) * p, where k is the number of trials.
In this case, we want to find P(X=4). Substituting the given values into the PMF formula, we have P(X=4) = (1-0.3)^(4-1) * 0.3 = 0.7^3 * 0.3 = 0.343 * 0.3 = 0.1029.
The probability that X=4 in the given geometric distribution is 0.1029, which corresponds to option (c).
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How many dimensions does a line have?
Answer:
a line has one dimension
Step-by-step explanation:
Find the surface area of a hexagonal prism if the length of each side of the hexagonal base is 4 cm and the height is 7 cm.
The surface area of a hexagonal prism willl be 251.13844 cm².
What is the surface area?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
A=6ah+3√3a²
A=6×4×7+3√3×4²
A≈251.13844
Hence the surface area of a hexagonal prism willl be 251.13844 cm².
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George saves $163 a month. George saves $142 less each month than Lane. How much will Lane save in 2 years.
Answer:
504
Step-by-step explanation:
take 163 and subtract 142 then times by 24
the graph of an ellipse is shown. which equation represents this ellipse?
An equation is formed of two equal expressions. The equation of the ellipse is,
⇒ [(x-6)²/49] + [(x-2)²/9] = 1.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,
(x - h)²/a² + (y - k)²/b² = 1
(x - 6)²/7² + (y - 2)²/3² = 1
[(x-6)²/49] + [(x-2)²/9] = 1.
Hence, the equation of the ellipse is,
⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .
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Answer:
the answer is A on edge :)
Step-by-step explanation:
good luck <3
Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
(8x^2+3x−4)+(−2x^2+8x)
For the function f(x)=−3sin(x−3π/4), determine its amplitude and period, and then graph it for two periods.
Enter the exact answers.
For the number π, either choose π from the bar at the top or type in Pi (with a capital P).
Amplitude: A=
Period: P=
Using your answers for the amplitude and period, select the correct graph of the function f(x)=−3sin(x−3π/4).
The graph of the given function for two periods is shown below: Graph of f(x) = -3sin(x - 3π/4) for two periods.
The given function is f(x) = -3sin(x - 3π/4).
We have to determine its amplitude and period and then graph it for two periods
Amplitude: The amplitude of the given function is 3.
Since there is a negative sign outside the sine function, the amplitude of the function becomes negative.
Period: The period of the given function is 2π/1 or 2π. This is because the coefficient of x in the function is 1.
The period is given by 2π/b, where b is the coefficient of x in the function.
To graph the function for two periods, we need to graph the function for one period and then replicate the graph for another period.
Below is the graph of the given function for one period explained by equation.
Graph of f(x) = -3sin(x - 3π/4) for one period
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The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. The area of printed material on the poster is fixed at 864 cm2. Find the dimensions of the printed area that minimize the area of the whole poster.
We want to find the dimensions of the poster such that the area of the whole poster is minimized .These are: Length = 325.2cm and
Width = 17cm
We can assume that the poster is a rectangle, and we know that a rectangle of length L and width W has an area:
A = L*W
Here we do know that the top and bottom margins are 9 cm each.
The side margins are 6cm each.
Then the measures of the printed areas are:
W' = W - 2*6cm = W - 12cm
L' = L - 2*9cm = L - 18cm
And we know that the area of the printed part is 1536 cm^2, then we can write:
A' = (W - 12cm)*( L - 18cm) = 864 cm^2
W*L - 12cm*L - 18cm*W + 216cm^2 = 1536 cm^2
W*L = 12cm*L + 18cm*W + 1320cm^2
And W*L is equal to the area, so what we need to minimize is:
A = 12cm*L + 18cm*W + 1320cm^2
Here we can see that the dependence of the area is larger on W than on L, so what we need to minimize is W.
We will take the smallest value of W such that the given margins are allowed.
That value would be such that:
W - 12cm > 0
W > 12cm
this could (and to be strict, should) be something like 16.0001cm, but let's use 17cm just to use whole numbers, we will get:
W = 17cm
Then to get the length we solve:
W*L = 12cm*L + 18cm*W + 1320cm^2
17cm*L = 12cm*L + 18cm*17cm + 1320cm^2
5cm*L = 1560cm^2
L = 325.2cm
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How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles
The diagram below is an oblique, or slanted, rectangular prism. Not all angles shown are 90 degrees. Complete the following sentence.
Answer:
Oblique rectangular prism
Let f be the function given by f(x) 9x. If four subintervals of equal length are used, what is the value of the right Riemann sum approximation for (x) dx?
The value of the right Riemann sum approximation for integral ∫₀² f(x) dx is (c) 60.
The right Riemann sum approximation is obtained by dividing the interval [0, 2] into four subintervals of equal length and evaluating the function at the right endpoints of each subinterval. In this case, each subinterval has a length of (2-0)/4 = 0.5. The right endpoints of the subintervals are 0.5, 1.0, 1.5, and 2.0.
To calculate the right Riemann sum, we evaluate the function at these right endpoints and sum up the values multiplied by the subinterval length.
f(0.5) = \(9^{0.5\) = 3
f(1) = 9¹ = 9
f(1.5) = \(9^{1.5\) = 27
f(2) = 9² = 27
The right Riemann sum is then
= (0.5 * f(0.5)) + (0.5 * f(1.0)) + (0.5 * f(1.5)) + (0.5 * f(2.0))
= 0.5 * (3 + 9 + 27 + 81)
= 60.
Therefore, the value of the right Riemann sum approximation for ∫2 to 0 f(x) dx is 60, which corresponds to option (c).
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Given question is incomplete, the complete question is below
let f be the function given by f(x)= 9ˣ, if four subintervals of equal length are used, what is the value of the right riemann sum approximation for∫₀² f(x) dx. 20b. 40c. 60d. 80
What is the expression in radical form?
Answer:
the answer is b
Step-by-step explanation:
You invest ten thousand dollars in an account that pays eight percent APR compounded monthly. After how many years will the account have twenty thousand dollars.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
what is percentage ?As a quarter of 100, a number can be expressed as a percentage. It is frequently used to describe distinctions or express changes in numbers. The symbol for percentages is %, and they are frequently utilized to describe ratios, rates, and certain other numerical connections. An 80 percent score on a test, for instance, indicates that the student correctly answered 80 of the 100 questions. Similar to this, if a retailer were offering a 20% discount on a $100 item, the sale price would be $80.
given
With P = 10000, r = 0.08 (8% stated as a decimal), n = 12 (compound monthly), and t to be found when A = 20000, the situation is as follows.
When these values are added to the formula, we obtain:
\(20000 = 10000(1 + 0.08/12)^(12t) (12t)\)
By multiplying both sides by 1000, we obtain:
\(2 = (1 + 0.08/12)^(12t) (12t)\)
When we take the natural logarithm of both sides, we obtain:
ln(2) = 12t ln(1 + 0.08/12)
When we multiply both sides by 12 ln(1 + 0.08/12), we obtain:
t = ln(2) / (12 ln(1 + 0.08/12))
Calculating the answer, we discover:
10.24 years is t.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
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The dimensions of a rectangular prism are shown in the table.
Length: 10 in
Width: 12 in
Height: 16 in
What is the surface area of the rectangular prism?
What is the optimal choice when pı = 3, P2 = 5 and I = 20 and utility is (a) u(x1, x2) = min{2x1, x2} (b) u(x^2 1, x^2 2) = x} + x3 (c) u(x1, x2) = In(xi) + In(x2) (d) u(x1, x2) = x x = (e) u(x1, x2) = -(x1 - 1)^2 – (x2 - 1)^2
Using the Lagrange method, the optimal choice is therefore (x1, x2) = (20/9, 4/3).
The optimal choice when pı = 3, P2 = 5 and I = 20 and utility is u(x1, x2) = min{2x1, x2} can be found using the Lagrange method .Lagrange method: This method involves formulating a function (the Lagrange function) which should be optimized with constraints, i.e. the optimal result should be produced while adhering to the constraints provided. The Lagrange function is given by: L(x1, x2, λ) = u(x1, x2) - λ(I - p1x1 - p2x2)
Where L is the Lagrange function, λ is the Lagrange multiplier, I is the budget, p1 is the price of good 1, p2 is the price of good 2.The optimal choice can be determined by the partial derivatives of L with respect to x1, x2, and λ, and setting them to zero to get the critical points. Then, the second partial derivative test is used to determine if the critical points are maxima, minima, or saddle points. The critical points of the Lagrange function L are:
∂L/∂x1 = 2λ - 2p1 = 0 ∂L/∂x2 = λ - p2 = 0 ∂L/∂λ = I - p1x1 - p2x2 = 0
Substitute the first equation into the second equation to get:λ = p2,2λ = 2p1 ⇒ p2 = 2p1,
Substitute the first two equations into the third equation to get: x1 = I/3p1,x2 = I/5p2
Substitute p2 = 2p1 into the above to get:x1 = I/3p1,x2 = I/10p1.Substitute the values of p1, p2 and I into the above to get:x1 = 20/9,x2 = 4/3.The optimal choice is therefore (x1, x2) = (20/9, 4/3).
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Zarin drinks 16 glasses of water in one day. If she drinks same amount of water
every day, then how much water does she drink in one week?
Answer:
the answer is 112 glasses of water.
Step-by-step explanation:
let's use a proportion method
16glasses=1 day
and the whole week is composed of 7 days this means that:
7 days= 16*7=112 glasses of water
Answer:
112
Step-by-step explanation:
because 16 * one week ( 7 ) = 112
16 x 7 = 112 ..
Follow the steps to find the product of and 0.55.
Estimate the product of and 0.55.
1/4-
Convert the decimal 0.55 to a fraction.
V55/100
What is the product of the two numbers?
X 110/150 or 11/15
110/300 or 11/30
77/103
1) Estimate value of the product of 2/3 and 0.55 is, 2/3.
2) The fraction part is, 55 / 100
3) The product of the two numbers is, 11/30
We have to given that,
Estimate the product of 2/3 and 0.55.
And, Convert the decimal 0.55 to a fraction.
And, The product of the two numbers.
Now,
Estimate the product of 2/3 and 0.55,
So, we can round 0.55 to the nearest whole number, which is 1.
Then, multiply 2/3 by 1 to get an estimate of the product.
so, The correct answer is 2/3.
Now, we can convert the decimal 0.55 to a fraction,
= 0.55
= 55/100
= 11/20
Thus, The correct answer is, 55/100.
And, the product of 2/3 and 0.55,
= 2/3 x 55/100
= 110/300
= 11/30.
Hence, The correct answer is, 110/300 or 11/30
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a population of values has a normal distribution with and . you intend to draw a random sample of size . find the probability that a single randomly selected value is less than 221.3.
The probability that a single randomly selected value from a normal distribution with mean \($\mu$\) and standard deviation \($\sigma$\) is less than 221.3 is given by \($P(X < 221.3) = \Phi(\frac{221.3-\mu}{\sigma})$\), where \($\Phi$\) is the cumulative distribution function.
The probability that a single randomly selected value from a normal distribution with mean and standard deviation is less than 221.3 is given by \($P(X < 221.3) = \Phi(\frac{221.3-\mu}{\sigma})$\), where the cumulative distribution function. This probability is calculated using the Z-Score formula, which is used to determine the position of a given value in a normal distribution relative to the mean. In this case, the Z-Score is calculated by subtracting the mean from the value 221.3 and dividing the result by the standard deviation. The result is then used to find the probability of a value being lower than 221.3 by looking up the corresponding value in a Z-Table. This is an important concept in statistics as it allows us to determine the probability of a randomly selected value from a normal distribution being less than a given value.
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Erin needs 1/4 pound of peat moss for
each juniper she plants. How many pounds
of peat moss are required for 10 junipers?
Answer:
do 1/4 x 10=2 1/2
Step-by-step explanation:
A salesperson earns 11% commission on sales. The equation for the amount she earns in commission is c = 0.11s, where s is the amount sold. How much commission will she earn if the amount sold is $5000?
Answer:
550$
Step-by-step explanation:
Plug in 5000 as \(s\) is our equation: \(c=0.11s\) → \(c=0.11(5000)\).
Answer:
550
Step-by-step explanation: