Answer:
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Step-by-step explanation:
Center of the ellipse is at origin (0, 0)
So (h, k) = (0, 0)
Length of major axis = 12
2a = 12
⇒ a = 6
Length of minor axis = 8
⇒ 2b = 8
⇒ b = 4
Since focus is on the x-axis, so it's a horizontal ellipse.
Equation of the horizontal ellipse is in the form of,
[tex]\frac{(x-h)^{2} }{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
By substituting the given values of a, b, and (h, k)
[tex]\frac{(x-0)^{2}}{6^2}+\frac{(y-0)^2}{4^2}=1[/tex]
[tex]\frac{x^{2} }{36}+\frac{y^2}{16}=1[/tex]
Answer:
A
Step-by-step explanation:
edge
8. A polyhedron has 15 edges and 10 vertices. How many faces does it
have? *
Answer:
In geometry, the pentagonal prism is a prism with a pentagonal base. It has with 7 faces, 15 edges, and 10 vertices
Step-by-step explanation:
If f(x) = 2x-3, find f(-2).
Answer:
F(2)=-7
Step-by-step explanation:
f(-2)=2x-3
you substitute the x on the positive 2
2(-2)=-4
-4-3-=7
-7
Hence the result of the function is x is -2 is -7
Given the function f(x) = 2x-3,
Domain of a function is the input value for which the function exists.
The range of the function is the output value for which the function exists
From the question, we can see that we are to find the resulting range if the domain of the function is -2.
To get f(-2), we will need to substitute x as 2 into the function as shown
f(-2) = 2(-2) - 3
f(-2) = -4 - 3
f(-2) = -7
Hence the result of the range with the domain of -2 is -7
Learn more here: https://brainly.com/question/20935788
A tree cutting business has an insurance policy to cover any damages caused during the tree cutting process. The business pays an annual premium of $1,500 for a policy that covers up to $500,000 in damages. The probability of a tree causing damage is 0.002. What is the expected value?
Answer:
-$500
Step-by-step explanation:
The expected value of a payment from the policy is ...
$500,000 × 0.002 = $1000
Since the business pays $1500 for the policy, the expected value to the business is ...
$1000 - 1500 = -$500 . . . per year
_____
Of course, the expected value to the insurance company is $500 per year.
_____
We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.
The length of a rectangle is 9 inches less than twice the width . If the perimeter of the rectangle is 84 inches find the dimensions of the rectangle
Answer:
25 by 17
Step-by-step explanation:
9x2=18
84=18= 102
102/6 = 17 (width)
17x2-9=25 (length)
What is the mode for 20 sites?
The answer is 2 and 1. Hope this help btw
answer quick for brainliest...
Answer:
B-y=2
Step-by-step explanation:
y= 2x-2
X=2
y=2(2)-2
y=4-2
y=2
Find the exact value of cos 15°
Answer:
[tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Step-by-step explanation:
Using the difference formula for cosine and the exact values
cos45° = sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex], sin30° = [tex]\frac{1}{2}[/tex]
cos(a - b) = cosacosb + sinasinb
Note 15° = 45° - 30°, thus
cos15°
= cos(45 - 30)°
= cos45°cos30° + sin45°sin30°
= ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]
Answer:
[tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]
Step-by-step explanation:
Common difference between 31,26,21,16
I like to work backwards to see if the common difference is the same.
So I take 16 and work to the left.
So I say 16 - 21 which is -5.
Then I do 21 - 26 which is -5.
Finally, 26 - 31 which is -5.
So what I am doing here is just taking the number that is on the right and subtracting it by the number that appears to the left of it.
Notice that I always get -5 and that has to be because in order for this to have a common difference, the result must always be the same if you are working with the method I used above.
So, our common difference is -5.
Find the measure of and angle between o degrees and 360 degrees coterminal with an angle of 399 degrees in standard position
Answer:
39 degrees.
Step-by-step explanation:
We want an angle x such that 0 < x < 360 and angle x is coterminal with an angle of measure 399 degrees.
so x = 399 - 360 = 39 degrees
Which of the following describes the transformations of g (x) = negative (2) Superscript x + 4 Baseline minus 2 from the parent function f (x) = 2 Superscript x?
shift 4 units left, reflect over the x-axis, shift 2 units down
shift 4 units left, reflect over the y-axis, shift 2 units down
shift 4 units right, reflect over the x-axis, shift 2 units down
shift 4 units right, reflect over the y-axis, shift 2 units down
Answer:
A. on EDG
Step-by-step explanation:
took quiz!!!!!
Answer: A
Step-by-step explanation:
edge 2023
A ball is projected upward from the ground. Its distance in feet from the ground in t seconds is given by s left parenthesis t right parenthesis equals negative 16 t squared plus 126 t. At what times will the ball be 211 feet from the ground?
Answer:
t = 5.46 secs and t = 2.42 secs
Step-by-step explanation:
The distance of the ball from the ground is given by:
[tex]s(t) = -16t^2 + 126t[/tex]
When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:
[tex]211 = -16t^2 + 126t[/tex]
[tex]=> 16t^2 -126t + 211 = 0[/tex]
Using the quadratic formula:
[tex]t = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex] and [tex]t = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]
where a = 16, b = 126 and c = 211
Hence:
[tex]t = \frac{-(-126) + \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex] and [tex]t = \frac{-(-126) - \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]
[tex]t = \frac{126 + \sqrt{15876 - 13504} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{15876 - 13504} }{32}[/tex]
[tex]t = \frac{126 + \sqrt{2372} }{32}[/tex] and [tex]t = \frac{126 - \sqrt{2372} }{32}[/tex]
[tex]t = \frac{126 + 48.703 }{32}[/tex] and [tex]t = \frac{126 - 48.703 }{32}[/tex]
[tex]t = \frac{174.703}{32}[/tex] and [tex]t = \frac{77.297}{32}[/tex]
=> t = 5.46 secs and t = 2.42 secs
This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.
This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.
To determine the time when the ball is 211 feet off the ground, set s(t) equal to 211 and solve the resulting quadratic equation (-16t^2 + 126t - 211 = 0) using the quadratic formula. Discard the negative solution as it represents a time before launch.
Explanation:In response to the given question, we need to determine the time when the ball is 211 feet from the ground given the formula s(t)=-16t^2 + 126t. This is a quadratic equation which can be solved for t using the quadratic formula.
First, we need to set the equation equal to 211 to solve for when the ball is this distance off the ground. So, -16t^2 + 126t = 211. Rearrange the equation: -16t^2 + 126t - 211 = 0.
Now, apply the quadratic formula t = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = -16, b = 126, and c = -211. This yields two solutions corresponding to the times at which the ball is 211 feet from the ground. The negative solution represents a moment before the ball is launched, hence we discard it. The positive value is the time at which the ball attains a height of 211 feet.
Learn more about Quadratic Formula here:https://brainly.com/question/11540485
#SPJ3
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number.
Diameter = 3 cm, Height = 4 cm
a.
57 cu. cm
b.
25 cu. cm
c.
38 cu. cm
d.
9 cu. cm
Answer:
c
Step-by-step explanation:
The volume of the cone with a diameter of 3 cm and height of 4 cm is calculated using the formula V = (1/3)πr²h. After finding the radius to be 1.5 cm, we get the volume to be 9.42 cm³, which rounds to 9 cm³.
First, we calculate the radius of the cone which is half of the diameter. That gives us a radius (r) of 1.5 cm. Plugging the values into the formula, we get:
V = (1/3)π(1.5 cm)²(4 cm)
V = (1/3)π(2.25 cm²)(4 cm)
V = (1/3)π(9 cm³)
V = 3 π cm³
V = 3 π cm³
V = 3 × 3.14 cm³
V = 9.42 cm³, which rounds to 9 cm³ to the nearest whole number.
The correct option is d. 9 cu. cm.
Percy solved the equation x2 + 7x + 12 = 12. His work is shown below. Is Percy correct? Explain.
1. (x + 3)(x + 4) = 12
2. x + 3 = 12 or x + 4 = 12
3. x = 9 or x = 8
Answer:
Percy is incorrect
Step-by-step explanation:
I plugged in 9 and 8 for x and both of them did NOT solve it. The only number I know of that can solve it is -7. -7^2=49
-7 multiplied by 7 =-49
(49) + (-49) + 12 = 12
Answer:
Percy was not correct.
Percy did not write the equation in standard form before factoring.
The correct solutions are 0 and –7.
The equation should have first been written as x2 + 7x = 0 before factoring.
The solutions 8 and 9 do not make the equation true.
Step-by-step explanation:
:
The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What is the total weight, in pounds, of these two buildings? Expressing your answer in scientific notation in the form a×10b, what are the values of a and b?
Answer:is yes
Step-by-step explanation:
no
Answer:
A= 8.182
B= 8
Step-by-step explanation:
factor the polynomials.
1. a^2+16a+64
Answer:
(a + 8) (a + 8)
Step-by-step explanation:
a² + 16a + 64
a² + 8a + 8a + 64
a(a + 8) + 8(a + 8)
(a + 8) (a + 8)
What is equivalent to (3x^2y)(10x^5y^3)???
Answer:
[tex]30x^{7} y^{4}[/tex]
Step-by-step explanation:
simplify
Final answer:
The equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4, obtained by multiplying the coefficients and adding the exponents of like bases.
Explanation:
The question asks for the equivalent expression of the product (3x^2y)(10x^5y^3).
To find the equivalent expression, we need to apply the properties of exponents, which state that when multiplying two powers with the same base, we add the exponents. We can also multiply the coefficients in a usual way. Let's break it down into steps:
Multiply the coefficients (numbers outside the exponents): 3 × 10 = 30.
Add the exponents of x: x^2 × x^5 = x^(2+5) = x^7.
Add the exponents of y: y^1 × y^3 = y^(1+3) = y^4.
Combine the results: 30x^7y^4.
Therefore, the equivalent expression for (3x^2y)(10x^5y^3) is 30x^7y^4.
What is the √84 in radian form?
what is the equation to any vertical asymptotes or the x coordinations of any points of discontinuity?
f(x)=2/x-4
Answer:
748 is the answer
Step-by-step explanation: toda
I think the answer is letter C, can someone check me and make sure that is correct.
Answer:
You're Correct
Step-by-step explanation:
Keep up your good work
I’ll give out brainliest just please help me out ((trigonometry))
A radio station tower was built in 2 sections. From a point 97 from the base of the tower, the angle of elevation of the top of the first section is 25, and the angle of elevation of the top of the second section is 40.
To the nearest foot, what is the height of the top of the tower. Explains how you found the answer
Answer:
Step-by-step explanation:
I am so sorry what grade is this?
If a quadratic graph opens down does it have a maximum or a minimum?
Answer:
The answer to this question is maximum
Answer:
Maximum
A downward parabola will have the highest point at the very top, so it will have a maximum.
Find the measure of angle B. Round your answer to the nearest degree.
sin B = 0.8659
a 30°
b 60°
C 40
d 20
Which operation should be used to solve x + 3 = 7?
Answer:
You can use the Subtraction property of equality
You have to subtract 3 on both sides to have x alone, which will give you x=4
Answer:
SUbtraction
7-3=4 so X is 4
Step-by-step explanation:
A book costs $25. It goes on sale for $19. What is the percent of decrease?
Answer:
31.5789%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
If you use the "is over of" form.
"19 is what percent of 25"
You'd set it up like this:
[tex]\frac{19}{25}[/tex]=[tex]\frac{x}{100}[/tex]
Then cross multiply:
19 times 100 = 1900
25 times x = 25x
Divide 25 into 1900 and get 76.
That is the percent (%) of what 19 is of 25.
BUT we want the space in between the numbers.
To get that, we subtract 100 - 76.
(100 is the whole 100%)
This gives you 24%
What is the base of y=Inx
Answer:
The base is natural number e = 2.71828...
Step-by-step explanation:
By definition of natural log, the base is e = 2.71828...
The base of the function y = ln(x) is the irrational number e (approximately 2.71828).
Explanation:The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.
Learn more about Base of ln(x) here:https://brainly.com/question/35258686
#SPJ12
Can someone Help plz
Answer:
I wish i could help but im dumb :(
Step-by-step explanation:
Answer:
Option 2
Step-by-step explanation:
V= Base x Height
If the Height = 15in and the V = 90in^3 then 90 ÷ 15 = 6
Please mark brainliest ;)
Which expression has a value equal to the
value of the expression
4 × [(12 + 4) − (12 ÷ 3)]
Answer:
Solving the expression, it is equal to 48. But it you want and expression equal to 48:
4 x 12 can be the answer.
Step-by-step explanation:
[tex]$4\cdot \left[\left(12\:+\:4\right)\:-\:\left(\frac{12}{3}\right)\right]$[/tex]
[tex]4\left(12+4-4\right)[/tex]
[tex]4 \cdot 12\\48[/tex]
how do i calculate the standard deviation?
Answer:
1.Work out the Mean (the simple average of the numbers)
2.Then for each number: subtract the Mean and square the result.
3.Then work out the mean of those squared differences.
4.Take the square root of that and we are done!
Step-by-step explanation:
Answer:
To calculate the standard deviation of those numbers: Work out the Mean the simple average of the numbers. Then for each number: subtract the Mean and square the result. Then work out the mean of those squared differences. It was easy. Have a great day.
Step-by-step explanation:
Brainliest!
can someone do this please
Answer:
x = 16
Step-by-step explanation:
4x - 7 = 3x + 9
4x = 3x + 16
1x = 16
x = 16
Find the common ratio for the geometric sequence of, 162, 108, 72, 48 ......
A- -3/2
B- -2/3
C- 2/3
D- 3/2
2/3Answer:
Step-by-step explanation: