Consider we need to find the equation of ellipse.
Given:
Ellipse is centered at the origin.
Major axis is horizontal, with length 8.
The length of its minor axis is 4.
To find:
The equation of ellipse.
Solution:
Major axis is horizontal, so standard form of ellipse is
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center of the ellipse and length of major axis is 2a and length of minor axis is 2b.
Ellipse is centered at the origin. So, h=0 and k=0.
Major axis is horizontal, with length 8.
[tex]2a=8[/tex]
[tex]a=4[/tex]
The length of its minor axis is 4.
[tex]2b=4[/tex]
[tex]b=2[/tex]
Substitute h=0, k=0, a=4 and b=2 in equation (i).
[tex]\dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{2^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex]
Therefore, the required equation of ellipse is [tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex].
what is the reciprocal of 8
Answer:
0.125
Step-by-step explanation:
to get the reciprocal of a number we divide the number by 1
in this case it would be 1 divide by 8
1/8 = 0.125
Andrew made $625 mowing lawns. He worked for 5 consecutive days and earned the same amount of money each day. How much money did Andrew earn per day?
Answer:
625 / 5 = 125 per day
Step-by-step explanation:
If this helped can I get brainliest I need to rank up.
QUESTION 4 of 10: You estimate that your new business's revenue will grow at a compounded rate of 30% each month for the first 6
months. If your third month's revenue is estimated at $5,000, what is your second month's revenue? (Round to the nearest dollar.)
a) $2,945
b) $3,846
ОООО
c) $4,012
d) $4,333
Answer:b) $3,846
Step-by-step explanation:
If your third month's revenue is estimated at $5,000, then $3846.15 is second month's revenue.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that business's revenue will grow at a compounded rate of 30% each month for the first 6 months.
Third month's revenue is estimated at $5,000.
We need to find the second month's revenue.
Let us assume the revenue of second month = x
Compounded rate = 30%
x + 30% of x = 5000
x + 0.3x = 5000
1.3x = 5000
Divide both sides by 1.3
x = 3846.15
Hence, $3846.15 is second month's revenue.
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2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For
the first three hours of typhoon, the rain fell at a constant rate of 25mm per
hour.
The typhoon slows down for an hour and started again at a constant rate of 20 mm
per hour for the next two hours. Write a piecewise function that models the amount
of rainfall as function of time.
Answer:
The answer is below
Step-by-step explanation:
Let t represent the time in hour and A(t) represent the amount of accumulating rainfall at time t.
In the first three hours the rain fell at a constant rate of 25mm per
hour, hence:
A(t) = 25t 0 ≤ t ≤ 3
The rain then slows down and remains constant at 75 mm [i.e. 25(3)] for an hour.
The rain increases at a rate of 20t from 4 ≤ t ≤ 6. Hence the piecewise equation is given as:
[tex]A(t)=\left \{ {{25t\ \ \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 3} \atop {75\ \ \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 6 \atop {75+20(t-4)\ \ for\ 4\ \leq\ t\ \leq\ 6}} } \right. \\\\\left[/tex]
Solve using substitution y=3x+2, y=7x-6
Answer:
x=2, y=8 or (2, 8)
Step-by-step explanation:
y=3x+2
y=7x-6
substitute y=7x-6 into y=3x+2
7x-6=3x+2
4x=8
x=2
then plug 2 into either one
y=7(2)-6
y=8
Check answers
8=3(2) + 2 | correct
8 =7(2)-6 | correct
Help! Now help! ASAP!I’ll make you brainly now please
Answer:
Day 2
Step-by-step explanation:
On Day 1, the temperature changed by 24.8 degress fahrenheit. On Day 2, the temperature changed by 32.94 fahrenheit which is more then Day 1.
Answer:
day two
Step-by-step explanation:
-11.31 + 13.49= 2.18
-7.69+ 25.25= 17.56
so day two because there's more distance in temp.
Can anyone answer these questions?
Answer:
g^2=49
7^2=49
g=7
hope it is helpful to you
Which expression is equivalent to 2(3x-8)?
Answer:
6x-16
Step-by-step explanation:
2(3x-8)
distribute the 2
2 x 3x = 6x
2 x -8 = -16
Represent the situation below as an integer
Mt. Whitney in California is 14,494 feet above sea level
Answer:
-14,494 feet
Step-by-step explanation:
PLEASE ANSWER ASAP Michael read 14 books in 26 months. At the same rate, about how many books can he read in 48 months?
Answer:
Well, lets break this down.
If you try to add 26 + 26 it would be 52, which is above 48.
So, we have to find how many books he can read in one month.
All we have to do, is divide!
14 = dividend
26 = divisor
Step 1:
Start by setting it up with the divisor 26 on the left side and the dividend 14 on the right side like this:
26⟌14 Then do the rest, ill wait.
once you have a answer, that is how much he reads a month.
now multiply by 48.
1. Write an algebraic expression for the sum of three coins and c coins.
A. C+3
B. C/3
C. 3c
D. C-3
2. Use mental math to solve the equation.
Z/-12 = -5
A. 7
B. -60
C. -17
D. 60
3.Estimate the solution of the equation x-8.1= 5.3 to the nearest whole number.
A. About 13
B. About 14
C. About 4
D. About 3
4. Solve the equation
14 = t-44
A. -30
B. -58
C. 30
D. 58
-3 = j + 50
A. 80
B. 20
C. -1500
D. -80
2.8x = -9.24
A. 12.04
B. -0.3030
C. -3.3
D. -12.04
5.8 = z/2.2
A. 127.6
B. 0.37
C. 3.7
D. 12.76
Answer:
1 Is A
2 is B
3 is A
4a is D
4b is -53 but that's not an answer choice
4c is C
4d is D
In(x - 2) – In(x + 2)
Answer:
i think it is in(x-2/2+2) the + on the bottom and the - on top as a fraction:) hope it helps
Step-by-step explanation:
Represent in Interval notation
Answer: [tex][5, \infty)[/tex]
On a keyboard, you would write [5, infinity)
The square bracket means "include this value" and a curved parenthesis means "exclude this value". We cannot include infinity as it is not a number, so we always use parenthesis with either infinity.
[tex]y \ge 5[/tex] is the same as [tex]5 \le y[/tex] which is also the same as [tex]5 \le y < \infty[/tex] which may help lead to set up the interval notation answer.
help im stuck pls -- Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.
Answer:
9.9%
Step-by-step explanation:
Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
[tex]\frac{222}{2222} =0.09999...\\[/tex]
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
9.9%, which could be rounded to 10% or 9%.
How many different 2-scoop combinations can you make if you are choosing among 4 different flavors?
Answer:
8
Step-by-step explanation:
4x2
(8,10),(-7,14)
The slope of the line
Answer:
-4/15
Step-by-step explanation:
I used my graphing calculator.
Two ratios that are equivalent to 2:12
One equivalent ratio is 1:6
To get this ratio, you divide both parts of 2:12 by 2
2/2 = 1
12/2 = 6
So that's why 2:12 is equivalent to 1:6
From here we could multiply both parts by say 3
1*3 = 3
6*3 = 18
Meaning that 1:6 and 2:12 are equivalent to 3:18
==============================================
Two possible answers are 1:6 and 3:18
There are infinitely possible answers
The graph below is the graph of a function.
A True
B. False
Answer:False
Step-by-step explanation:
Failed vertical line test
Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?
Answer: $150.00
Step-by-step explanation:
3+10=13
13+30=43
43+7=50
100+50=150
Answer:
Did you have 10 dollars??
Suppose that a computer chip company has just shipped computer chips to a computer company. Unfortunately, of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) The probability that the first randomly selected chip is defective is . Compute the probability that two randomly selected chips are defective under the assumption of independent events. (a) The probability is nothing. (Round to eight decimal places as needed.)
Answer:
(a) 0.0000245
(b) 0.000025
Step-by-step explanation:
The complete question is:
Suppose that a computer chip company has just shipped 10,000 computer chips to a computer company. Unfortunately, 50 of the chips are defective. (a) Compute the probability that two randomly selected chips are defective using conditional probability. (b) There are 50 defective chips out of 10,000 shipped. The probability that the first chip randomly selected is defective is 50 /10,000 = 0.005. Compute the probability that two randomly selected chips are defective under the assumption of independent events.
Solution:
(a)
In this case we need to compute the conditional probability of selecting two defective chips, i.e. the selection of the second defective chip is dependent on the first defective chip.
The probability of selecting the first defective chip is:
[tex]P(1D)=\frac{50}{10000}=0.005[/tex]
Now there are 9999 chips left and 49 defective chips among them.
The probability of selecting the second defective chip is:
[tex]P(2D)=\frac{49}{9999}=0.0049[/tex]
Compute the probability that two randomly selected chips are defective using conditional probability as follows:
P (Two defective chips) [tex]=P(1D)\times P(2D)=0.005\times 0.0049=0.0000245[/tex]
Thus, the answer is 0.0000245.
(b)
Compute the probability that two randomly selected chips are defective under the assumption of independent events as follows:
The above statement implies that the selection was done with replacement.
The probability is:
P (Two defective chips) [tex]=P(1D)\times P(2D)[/tex]
[tex]=\frac{50}{10000}\times \frac{50}{10000}\\\\=0.005\times 0.005\\\\=0.000025[/tex]
Thus, the probability that two randomly selected chips are defective under the assumption of independent events is 0.000025.
The length of a rectangle is four times its width. if the perimeter of the rectangle is 90 cm, find its length and width
Answer:
length 36, width, 9.
Step-by-step explanation:
you are trying to find "X" and it's 4 times the size of y, the whole thing is equal to 90. it would look like this
y=4x
y(4x) + x = 90
5x=90
90/5= 18
the rest is the "y" value, 72.
divide both by 2 because rectangles have 4 sides, and you get the answer above.
Emma is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $2.50 per mile driven. If Emma were to drive 2 miles, the total cost would be $25. Write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Emma were to drive mm miles.
PLEASE HELP MEEEEEE!!!!
The total cost equation of renting the truck if Emma were to drive mm miles will be
C=2.5m+20
What is equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations.Let,
C=total cost
m=number of miles
the cost function is in the form of
C=am+b
the rental company charges a fee of $2.5 per mile so a=2.5
C=2.5m+b.....................(1)
if Emma were to drive m=2 miles, the total cost would be C=25
25=2.5\c*2+b
25=5+b
25-5=b
20=b
b=20..................put it back in equation 1
C=2.5m+b
Therefore, The total cost equation of renting the truck if Emma were to drive mm miles will be C=2.5m+20
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Answer:
C=2.5+20
Step-by-step explanation:
got right on delta
Point-Slope form is used when your are NOT given which of the following. You need all 3 or slope or y-intercept or a point.
Answer:
y-intercept
Step-by-step explanation:
you only need the slope and points for point-slope form
How do you do this question?
Answer:
Diverges
Step-by-step explanation:
The order of the numerator (2) is greater than the order of the denominator (1). So the sequence will diverge as n approaches infinity.
What is the theoretical probability of selecting a
king from a standard deck of 52 playing cards?
1/13
1/4
4/13
4
Answer:
The first part is: 1/13
The second part is: 9/20
Step-by-step explanation:
help will do brainliest plz asap!!!
The 250m between Sam's house and the tennis court corresponds to 5 cm on a town map. What is the actual distance between Sam's school and the library if they are 8.4 cm apart on the same map?
Answer:
420m
Step-by-step explanation:
250m = 5cm
50m = 1cm
? = 8.4cm
50 x 8.4=
420m = 8.4cm
Step-by-step explanation:
firstly we need to find the scale factor
firstly we know that 250m=25000cm
25000/5=5000
so 1:5000 is scale factor.
Now let us find the distance between Sam's school and the library
if they are 8.4 cm apart on map it means that in actual distance they are
(8.4)*5000=42000 cm in reality
How do you write 1.8 × 10^1 in standard form?
Answer:
probable as
1.8 × 10 = 18
brainliest ig?
A boy has 11 coins in dimes and quarters. Their value is $1.70. How many of each does he have?
Which of the following equations could be used to solve the problem?
options:
x + (11 - x) = 1.70
25x + 10(11 - x) = 1.70
0.10x + 0.25(11 - x) = 1.70
hhhh5hhhhhhhhhhhhhhhhhhh
Answer:
Answer
Ammmm did u just gave free points
11. What is the value of y?
1420
105°
140°
124)
88°
you
Answer:
59 degrees (just taking a shot)
Step-by-step explanation:
A six sided polygon should have a total degree total of 720 degrees. 105+142+140+124+88+x=720. When you find x, it should equal 121 degrees. Since x and y are both on a straight line, that line has to be 180 degrees. These are supplementary angles. 180-121 should equal 59.
