Answer:
x ≈ 14.57
Step-by-step explanation:
using the sine ratio in the right triangle
sin59° = \(\frac{opposite}{hypotenuse}\) = \(\frac{x}{17}\) ( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.57 ( to 2 dec. places )
Can you find the volume of a cone if you don’t know the height or radius?
Answer:
no no no no you just can't ggfgrgrgtghfhththhehfhrhrhthgtvtbth had to get 20 words
Quadrilateral DEFG is a rhombus and angle CED=s-25. What is the value of s?
The value of s, considering that quadrilateral DEFG is a rhombus, is given as follows:
s = 55.
How to obtain the value of s?To obtain the value of S, we must consider triangle CED, and the fact the sum of the measures of the internal angles of a triangle is of 180º.
The measures of the internal angles of triangle CED are given as follows:
<C = 90º. (the diagonals of the rhombus are perpendicular).<D = 60º. (the center of the rhombus is a bisection).<E = s - 25.As the sum of the measures of the internal angles of a triangle is of 180º, the measure of angle E is given as follows:
90 + 60 + <E = 180
150 + <E = 180
<E = 30º.
As <E = s - 25, the value of s is obtained as follows:
s - 25 = 30
s = 30 + 25
s = 55.
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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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A holiday park is digging a swimming pool.
The volume of earth to be removed is 120m^3.
A mechanical digger can remove 0.15m^3 of earth with each scoop.
a) How many scoops will be needed to remove all the earth?
Please it’s urgent!
a local bank reports that 80% of its customers maintain a checking account, 60% have a savings account, and 90% have either a checking account or a savings account. what is the probability the customer has both a checking account and a savings account?
The probability of a customer having both a checking account and a savings account is 50%.
The Probability of a Customer having both a Checking Account and a Savings AccountThe formula is:P(A and B) = P(A) * P(B|A)
Where,
P(A) is the probability of event A (a customer has a checking account)
P(B|A) is the probability of event B given that event A has occurred (a customer has a savings account, given that they have a checking account)
Given that the bank reports that:80% of its customers maintain a checking account (P(A) = 0.8)
60% have a savings account (P(B) = 0.6)
90% have either a checking account or a savings account (P(A or B) = 0.9)
We can use the above formula to calculate the probability that a customer has both a checking and a savings account:
P(A and B) = P(A) * P(B|A) = 0.8 * P(B|A) = 0.8 * (P(A and B) / P(A))
We know that P(A and B) is the probability that a customer has both a checking and a savings account.
Solution:We can use the formula for:
P(A or B) = P(A) + P(B) - P(A and B)
0.9 = 0.8 + 0.6 - P(A and B)
Solving for P(A and B)
P(A and B) = 0.8 + 0.6 - 0.9 = 0.5
So the probability that a customer has both a checking account and a savings account is 0.5 or 50%.
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Find the closest fractional equivalent for the following decimal measurement using the given denominator.
Given:
\(4.40in\)Required:
To find the closest fractional equivalent for the given decimal number.
Explanation:
Consider the given decimal number
\(4.40\)Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10.
Therefore,
\(\begin{gathered} =\frac{4.40}{1}\times\frac{10}{10} \\ \\ =\frac{44}{10} \end{gathered}\)\(=\frac{22}{5}\)\(=4\frac{2}{5}\)Final Answer:
\(4.40in\approx4\frac{2}{5}in\)Can someone pls help
Answer:
14x-13 good luck
Step-by-step explanation:
this is the answer
(9x-6)- (-5x+7)
9x-6+5x-7
9x+5x-6-7
14x-13
A plane flew 30 miles north and then 40 miles east. How far is the plane from its starting point?
Answer:
70 miles
Step-by-step explanation:
30 (mi) +40 (mi) =70
Item 3
How do these units of time compare?
Drag and drop the units so they are in order from longest to shortest.
1 minute
1 second
1 hour
(i) Let V=2xy^2z ^3+3ln(x ^2+2y ^2+3z^2)N in free space. Guduate each of the following amounts in P(3,2,−1) (a) V (b) ∣V∣ (c) E (d) ∣E∣
The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.
The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N
The components of the electric field can be found as follows,
E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k
(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,
V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N
(b) The magnitude of the potential is given by,
|V|= √ (Vx²+Vy²+Vz²)
The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,
|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N
(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.
Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m
Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m
Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m
Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k
(d) The magnitude of the electric field is given by,
|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m
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Help plz..And No links!! I repeat No links!!
Answer:
9×10^3
Step-by-step explanation:
9×10^3=9000
................
Answer:
Step-by-step explanation:
I need to ask u two question for my Statistics Project. This is more of a survey.
Why is a lame elephant like adding 19 and 4?
Answer:
I dunno, why?
Step-by-step explanation:
I need some help please
Answer:
x+2
hope this helps ;)
and cute pfp
Answer:
Step-by-step explanation:
x-1, because 3 fits the criteria, x>=1
A local car wash is open 12 hours a day. It uses 1/4 of a container of wax for each car . The car wash waxes an average of 10 cars per hour. How many containers of wax does the car wash use in one day?
HELP ME ASAP!!! PLS!!
The Chu family can hike 3 miles per hour. How long will it take them to hike 15 miles?
A- 3.75 hours
B- 4 hours
C- 4.5 hours
D- 5 hours
Answer:
D- 5hrs
Step-by-step explanation:
If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.
Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours
Answer:
D. 5 hours
Step-by-step explanation:
3 miles per 1 hour so 3/1
15 miles per x hours so 15/x
3/1 = 15/x or 3 = 15/x
get x by itself so
3 divided by 3 and 15 divided by 3
x = 5 hours
Evaluate the expression when m = 4 and n = 7.
n+5m
Answer:
27
Step-by-step explanation:
If you substitute the two give numbers and follow BEDMAS, you can calculate the answer.
n+5m
n = 7 and m = 4
=(7)+(5(4))
=7+20
=27
My son needs help on this ASAP. Greatly appreciated.
Answer:
x = 20 degrees
y = 128 degrees
Step-by-step explanation:
First, lets solve for x:
3x-8 = 2x + 12
x = 20 degrees
Let's check our work:
60 - 8 = 40 + 12
52 = 52
Now, lets solve for y:
360 - 104 = 256
Why 360? Because 360 degrees = full circle
256/2 = 128 degrees
y = 128 degrees
Why divided by 2? Because there are 2 parts that are equal (y)
Hope this helps! Sorry for the late answer!
--Applepi101
HELP MEEEEEE! ILL GIVE BRAINLYY
haha
Answer:
D
Plzzzzz give me Brainliest!!!!!
An annuity has a payment of $300 at time t = 1, $350 at t = 2, and so on, with payments increasing $50 every year, until the last payment of $1,000. With an interest rate of 8%, calculate the present value of this annuity.
The present value of the annuity is $4,813.52.
To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:
PV = C * (1 - (1 + r)^(-n)) / (r - g)
Where:
PV = Present Value
C = Payment amount at time t=1
r = Interest rate
n = Number of payments
g = Growth rate of payments
In this case:
C = $300
r = 8% or 0.08
n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14
g = Growth rate of payments = $50
Plugging in these values into the formula, we get:
PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52
Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.
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Please help me with this !!!
Step-by-step explanation:
as this is total 90°angle
68°+x = 90 °
x = 90°-68°
x = 22 °
also
68° + 22 ° = 90 °
Answer:
90 - 68 = 22
the whole angle is 90
if we substract 68 from 90 , we will get the answer.
Which shows an equivalent decimal, fraction and percent
A-0. 125,1/8,12. 5%
B-0. 20,1/10,20%
C-0. 45,4/5,45%
D-0. 60,2/3,66%
An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.
To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.
Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.
The other options do not have equivalent representations of decimals, fractions, and percentages.
In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.
Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).
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(Requires Calculus) In the equation = 607.3 + 3.85 Income - 0.0423 Income2, the following income level results in the maximum test score:
A. 607.3.
B. 91.02.
C. 45.50.
D. cannot be determined without a plot of the data.
The income level that results in the maximum test score is approximately $45.63.. The correct answer is not provided among the given options.
To find the income level that results in the maximum test score, we need to determine the maximum point of the function represented by the equation: 607.3 + 3.85Income - 0.0423Income^2.
To find the maximum point, we can take the derivative of the function with respect to Income and set it equal to zero. Then we solve for Income.
Let's differentiate the function:
d/dIncome (607.3 + 3.85Income - 0.0423Income^2) = 3.85 - 2 * 0.0423 * Income
To find the maximum point, we set the derivative equal to zero:
3.85 - 2 * 0.0423 * Income = 0
Simplifying:
3.85 = 2 * 0.0423 * Income
Dividing both sides by 2 * 0.0423:
Income = 3.85 / (2 * 0.0423)
Income ≈ 45.63
Therefore, the income level that results in the maximum test score is approximately $45.63.
Among the given answer choices:
A. 607.3 is the constant term in the equation and does not represent an income level.
B. 91.02 is not the income level that results in the maximum test score.
C. 45.50 is close to the correct answer, but the correct approximation is $45.63.
D. The correct answer has been determined using calculus.
So, the correct answer is not provided among the given options.
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A white cylindrical silo has a diameter of 30 feet and a height of 80 feet. A red stripe with a horizontal width of 3 feet is painted on the silo, as shown, making two complete revolutions around it. What is the area of the stripe in square feet
The provided solution says that
The cylinder can be "unwrapped" into a rectangle, to get a stripe that is a parallelogram with base 3 and height 80.
However, I don't understand how the height of the stripe can be eighty. The distance from the top of the cylinder to the bottom is 80 feet as given, so how can a winded stripe that goes around be also 80 feet? Isn't the shortest distance, 80 ft, simply from the top to the bottom? How does a winded spiral also become 80 feet ?
The stripe's area in square feet is 240 square units.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
The cylinder can be "unwrapped" into a rectangle, and we see that the stripe is a parallelogram with base 3 and height 80.
area=3*80
=240 square units.
the area of the stripe in square feet is 240 square units.
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three cards are drawn with replacement from a standard deck of 52 cards. find the the probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability of drawing a diamond, then a black card, and then a face card from a standard deck of 52 cards with replacement is 3/104 or 0.028846 .
What is the probability?The probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card is given by the expression, `(13/52) × (26/52) × (12/52)`.
In a standard deck of 52 cards, there are 13 diamonds, 26 black cards (13 clubs and 13 spades), and 12 face cards (4 Jacks, 4 Queens, and 4 Kings).
To calculate the probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card, we use the formula of probability:
`P(E) = n(E) / n(S)`
where, P(E) = Probability of an event
n(E) = Number of favorable outcomes
n(S) = Total number of outcomes
Total number of outcomes = 52
First card will be a diamond
Number of diamonds in a deck of 52 cards = 13
Total number of outcomes after drawing the first card = 52
Probability of drawing a diamond in the first attempt = P(diamond)`= 13/52
Probability of drawing a black card in the second attempt, given that the first card is a diamond= `P(black/diamond)`= (26/52) = `(1/2)`
Probability of drawing a face card in the third attempt, given that the first card is a diamond and second card is a black card= `P(face/diamond and black)`= `(12/52)` = `(3/13)`
Therefore, probability that the first card will be a diamond, the second card will be a black card, and the third card will be a face card`= P(diamond) × P(black/diamond) × P(face/diamond and black) = (13/52) × (1/2) × (3/13)= 3/104`
Therefore, the required probability is 3/104 or 0.028846 rounded to the nearest millionth.
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Use the vertical line test to determine if the graph represents a function. Type in yes or no for your answer. Please answer as soon as possible
Answer:
Yes
Step-by-step explanation:
Yes it is a function.
Sociologists have found that information spreads among a population at an exponential rate. How do you think this happens? Describe a piece of good news circulating through your circle of friends or family. How is this exponential?
Answer: Because people talk about important information
Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.
i need helppppp. please help me please.
Answer:
Economic importance
Step-by-step explanation:
Answer:
Economic importance
Step-by-step explanation:
Stella created a model of a rectangular carpet. Her model is 9 inches long. It is a model of a carpet that is 27 inches long. How many times wider is the actual carpet than Stella’s model?
Answer:
3
Step-by-step explanation:
DIVIDE 27 BY 9
Answer:
answer is simply 3
Step-by-step explanation 27/9=3
you observe 40 crickets on an island after crickets were first introduced 2 years ago. at how many crickets must have been introduced?
Crickets must have been introduced at the lambda = 2 is 20.
Given:
you observe 40 crickets on an island after crickets were first introduced 2 years ago , at the lambda = 2 how many number of crickets must have been introduced .
Let x be the crickets must have to been introduced.
Number of crickets = observed crickets / lambda value
we know that,
Observed crickets = 40
lambda value = 2
substitute these values
Number of crickets = observed crickets / lambda value
= 40 / 2
= 20 crickets.
Therefore Crickets must have been introduced at the lambda = 2 is 20.
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Full question:
you observe 40 crickets on an island after crickets were first introduced 2 years ago. at lambda = 2 how many crickets must have been introduced?