Answer:
9,833,923
Step-by-step explanation:
Subtract 9,089,689 from 18,923,612
Find the center vertices and foci of the ellipse with equation 2x^3+8y^2=16
Answer:
Step-by-step explanation:
First of all, you have a typo. But that's ok, we can work around it. The equation NOT yet in standard form for an ellipse should be:
[tex]2x^2+8y^2=16[/tex]
Putting it into standard form requires that the right side of the equation equals 1. That means that we need to divide everything by 16 to accomplish that. When we do that, we will get the standard form:
[tex]\frac{x^2}{8}+\frac{y^2}{2}=1[/tex]
The general form is either
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex] or
[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1[/tex]
where a is ALWAYS bigger than b. So if the bigger denominator is under the x numerator, this is an ellipse that is elongated horizontally. If the larger denominator is under the y numerator, then this is an ellipse that is elongated vertically. As you can see from our standard ellipse equation, the 8 is under the x numerator, so this is a horizontally elongated ellipse.
If [tex]a^2=8,[/tex] then [tex]a=\sqrt{8}[/tex] which is approximately 2.83 units.
If [tex]b^2=2,[/tex] then [tex]b=\sqrt{2}[/tex] which is approximately 1.41 units.
Since the ellipse is elongated horizontally, the a value starts at the center of the ellipse and goes 2.83 units to the right and left of the center; the b value starts at the center of the ellipse and goes 1.41 units both up and down from the center. But what's the center?
In the standard form above involving the h and the k in the numerators, the h and k indicate the coordinates of the center. h is like the x coordinate and k is like the y coordinate. Since our ellipse does not have [tex]c^2=8-2[/tex]a constant in a set of parenthesis for either the x or the y term, the center is at (0, 0). From the center then, we go go both right and left to (2.83, 0) and (-2.83, 0) for the vertices of the ellipse. The co-vertices would be (0, 1.41) and (0, -1.41).
The foci have the formula (h + c, k) for the focal point to the right of the center and (h - c, k) for the focal point to the left of the center. But how do we find c?
[tex]c^2=a^2-b^2[/tex]
We already know that [tex]a^2=8[/tex] and [tex]b^2=2,[/tex] so
[tex]c^2=8-2[/tex] and
[tex]c=\sqrt{6}[/tex]
That means that the foci have the coordinates [tex](\sqrt{6},0)[/tex] and [tex](-\sqrt{6},0)[/tex]
and you're done!!
Simplify fully
13/2x-5/x
Answer:
so the answer is 3/2x
Step-by-step explanation:
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5}{x}[/tex]
taking LCM
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{5*2}{x*2}[/tex]
=[tex]\frac{13}{2x}[/tex]-[tex]\frac{10}{2x}[/tex]
=[tex]\frac{3}{2x}[/tex]
i hope it will help you
Fractions are written as a ratio of two or more integers.
Given the expression
13/2x - 5/x
Find the LCM
From the given fraction, the LCM is 2x
= 13/2x - 5/x
= 13-2(5)/2x
= 13-10/2x
= 3/2x
Hence the difference in the fraction given in question is 3/2x
Learn more here: brainly.com/question/1332448
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Is it a function
What is half the value of 'm' in the inequality
9-14m>6m-41
Answer:
Hope this is correct
someone bought a shirt on sale for 25% off the original price and another 25% off the discounted price. If the final price was $16, what was the price before the first discount?
Answer:
28.44$
Step-by-step explanation:
The original price of a shirt is A.
This shirt is on sale for 25% => the price of that shirt after being sale:
P1 = A - A x 25% = A - A x (25/100) = A - A x (1/4) = A x (3/4)
This shirt is discounted one more time for 25% => the price of that shirt after being discounted second time.
P2 = P1 - P1 x 25% = P1 - P1 x (25/100) = P1 - P1 x (1/4) = P1 x (3/4) = A x (3/4)^2
P2 is given to be equal to 16$, then there is an expression:
P2 = 16
or
A x (3/4)^2 = 16
=> A x (9/16) = 16
=> A = 16 x (16/9) = 28.44$
Hope this helps!
4x - {-19x + (-13x - (-5x + 3)]}
Enter the correct answer.
Answer:
=15x−3
Step-by-step explanation:
Let's simplify step-by-step.
4x−−19x−13x−(−5x+3)
=4x+19x+−13x+5x+−3
Combine Like Terms:
=4x+19x+−13x+5x+−3
=(4x+19x+−13x+5x)+(−3)
Answer: =15x+−3
Hope this helps.
4x - {-19x + (-13x - (-5x + 3)]}
Answer:
=15x−3
Step-by-step explanation:
Let's simplify step-by-step.
4x−−19x−13x−(−5x+3)
=4x+19x+−13x+5x+−3
Combine Like Terms:
=4x+19x+−13x+5x+−3
=(4x+19x+−13x+5x)+(−3)
Answer: =15x+−3
Hope it's helpful please...?
I need help...........
Answer: a
Step-by-step explanation:
The lineab bisects bi equally
Which process will create a figure that is congruent to the figure shown?
Answer:
see below
Step-by-step explanation:
Any process that involves dilation or scaling will NOT result in a congruent figure. Only the rigid transformations of translation, reflection, or rotation can be used to obtain a congruent figure.
The choice shown below is the one you seek.
The lengths of the sides of a right angled triangle are ( x+1)cm,4x cm,and (4x+1) cm . Find the value of x
Answer:
The value of x is 6.
Step-by-step explanation:
You have to use Pythagorean Theorem, a² + b² = c². Make (4x+1)cm as the hypotenuse because any values substitute into x will give the highest length among these 3 expressions of length :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Let a = side = (x+1)cm,
Let b = side = 4x cm,
Let c = hypotenuse = (4x+1)cm,
[tex] {(x + 1)}^{2} + {(4x)}^{2} = {(4x + 1)}^{2} [/tex]
[tex] {x}^{2} + 2x + 1 + 16 {x}^{2} = 16 {x}^{2} + 8x + 1[/tex]
Then you have to simplify :
[tex]17 {x}^{2} + 2x + 1 = 16 {x}^{2} + 8x + 1[/tex]
[tex]17{x}^{2} + 2x + 1 - 16 {x}^{2} - 8x - 1 = 0[/tex]
[tex] {x}^{2} - 6x = 0[/tex]
Next you have to solve it :
[tex] {x}^{2} - 6x = 0[/tex]
[tex]x(x - 6) = 0[/tex]
[tex]x = 0 \: (rejected)[/tex]
[tex]x - 6 = 0[/tex]
[tex]x = 6cm[/tex]
The value of x in the right triangle is 6 cm.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Right triangle:
The three sides are:
x + 1, 4x and 4x + 1
Applying the Pythagorean theorem.
(x + 1)² + (4x)² = (4x + 1)²
x² + 2x + 1 + 16x² = 16x² + 8x + 1
17x² + 2x + 1 = 16x² + 8x + 1
17x² - 16x² = 8x - 2x
x² = 6x
x gets canceled.
x = 6
Thus,
The value of x is 6.
Learn more about the Pythagorean theorem here:
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A mathematics Teacher brought 40 expensive calculator at 16400 each and a number of cheaper calculator costing tshs 5900 each. She spent a total of 774,000 ,how many cheaper calculator did she buy
Answer:
20
Step-by-step explanation:
First, let's find how much she spent on the expensive calculators
40 times $16400= $656,000
Now, lets find how much money she had for the cheap calculators.
$774,000- $656,000=$118000
Now that we have her budget (money remaining) for the cheaper calculators, lets divide that by the price for each individual calculator.
$118000/$5900=20
If you like my answer, please mark me as a brainliest! (I am new to this community.)
write an expression to represent the following situation:10 dollars less then caitlin
Enter the equation of the circle with C(-7, 2) and containing the point P(-3,5).
A. r= V[(x-7)2 + (y + 2)2]
B. 5 = v[(x - 3)2 + (y + 5)21
C. 5 = V[(x +7)2 + (y-2)21
D. r= V[(x + 3)2 + (y - 5)21
Answer:
c) Equation of the circle
[tex]\sqrt{(x+7)^2+(y-2)^2}=5[/tex]
Step-by-step explanation:
Given center of the circle C(-7,2) and containing the Point P(-3,5)
C P = r
C P = [tex]\sqrt{(x_{2} -x_{1})^2+(y_{2} -y_{1} })^2 }[/tex]
C P = [tex]\sqrt{(-3 -(-7))^2+(5 -2})^2 }[/tex]
C P = [tex]\sqrt{16+9} = 5[/tex]
The radius r = 5
The equation of the circle C(-7,2) and radius =5
[tex](x-h)^2+(y-k)^2 = (r)^2[/tex]
[tex](x-(-7))^2+(y-2)^2 = 25[/tex]
slove for x.
2x+34=64
Step-by-step explanation:
2x +34 =64
2x=30
X=30/2
X=15
Answer:
[tex] \boxed{x = 15} [/tex]
Step-by-step explanation:
[tex] = > 2x + 34 = 64 \\ \\ = > 2x = 64 - 34 \\ \\ = > 2x = 30 \\ \\ = > x = \frac{30}{2} \\ \\ = > x = 15[/tex]
One jar can hold 480 g of mung beans. How many at least the same jars are needed to fill 3.8 kg of mung beans?
Answer:
8
Step-by-step explanation:
7 jars will be completely filled with mung beans
and then 7 × 480 = 3.360 g and 3.800 - 3,360 = 440 g will be left so we need another jar
in total we need 8 jars
y = −4x + 3
Graphing equations in slope-intercept form
what is the value of x?
for quadrilateral ABCD, what is the value of y
- 26 degrees
- 48 degrees
- 20 degrees
- 34 degrees
Answer:
A) 26°
Step-by-step explanation:
In quad ABCD
C = 90°
B = 2y
A = 180 - 68
D= 180 - (y+48)
In a quad sum of all angles = 360°
therefore,
A + B + C + D = 360°
90 + 2y + 360 - 68 - y - 48 = 360
90-116+y = 0
y = 26°
Se pretende tapizar una pared rectangular de 4 m por 5 m, si el centímetro cuadrado de papel tapiz cuesta 0.28 dólares. Calcule el valor a pagar
Answer:
5600 dollars
Step-by-step explanation:
The first thing we must do is calculate the area of the rectangle since the value is given per unit area.
They give it per square centimeter, therefore we must pass the measurements from meters to centimeters, knowing that 1 meter is 100 centimeters:
4m * 100cm / 1m = 400cm
5m * 100cm / 1m = 500cm
Now the area would be:
A = 400 * 500 = 20000
20000 cm ^ 2 would be the area of the rectangular wall, we calculate the value like this:
20000 * 0.28 = 5600
In other words, it has a value of 5600 dollars.
Which of the following best describes the type of probability used in the
scenario below?
A bag has 10 red marbles, 7 blue marbles, and 12 yellow marbles. The probability of drawing a yellow at random is 12/29.
A. Random
B. Empirical
C. Unpredictable
D. Theoretical
Answer:
D. Theoretical
Step-by-step explanation:
The probability is based on the number of marbles in the bag. It is the theoretical probability. It is the likelihood that a yellow marble will be picked
I need help with this math problem
Answer:section 1 you choose c)rhombus
And the last one is X
Step-by-step explanation:sorry i can't explain but we literally got the same thing to do and i passed but what i tell you is correct
What is the one shape of cross-section we could create by slicing the sphere?
Answer:D a circle because a sphere is a circular figure
Step-by-step explanation:
Answer:
i think its D
Step-by-step explanation:
What is the y-intercept of the line 3x2y=-18
One of the elephants in the zoo is on a special diet. Every day, the elephant eats the same amount of carrots that the rabbit eats in 1 year (365 days). The rabbit eats the same amount of carrots every day. Together, in one day, the elephant and rabbit eat 122 kilograms of carrots. How many kilograms of carrots does the rabbit eat in one day?
Answer:
1/3 kg.
Step-by-step explanation:
The ratio of the amount of carrots the elephant eats to the amount of carrots the rabbit eats in the same length of time is 365:1.
So if the total they both eat is 122 kg in one day, the rabbit eats 122 * 1/ 366
= 1/3 of a kg,
Aly has 59 toy cars and 17 toy trucks. Which equation can help Aly find
how many more toy cars than trucks she has?
17 = 59
59 + 17 = 0
59 - 17 = 0
0 + 59 = 17
Done
The equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks. which is the correct answer would be an option (C).
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Aly has 59 toy cars and 17 toy trucks.
To determine the equation can help Aly calculate number of more toy cars than trucks she has
We have to subtract 17 from both sides and add 0
0 + 59 = 17
0 + 59 - 17 = 42
Therefore, the equation is 0 + 59 = 17 which can help Aly calculate the number of more toy cars than trucks.
Hence, the correct answer would be option (C).
Learn more about the equations here:
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Which of the following functions has a graph in which the vertex and axis of symmetry are to the left of the vertex and axis of symmetry of the graph of f(x) = (x – 1)2 + 1? Select all that apply.
A. g(x) = 2(x − 1)2 − 1
B. g(x) = −(x + 1)2 − 2
C. g(x) = 2(x − 1)2 + 2
D. g(x) = −(x − 2)2 + 1
E. g(x) = −(x + 2)2 + 2
F. g(x) = 2(x + 1)2 + 2
Answer:
B, E and F.
Step-by-step explanation:
The transformation f(x) ------> f(x + a) moves f(x) a units to the left.
So when there is an increase in the number added to x in the parentheses the graph moves to the left.
So B is one because of the (x - 1)2 ---> (x + 1)2
The others are E and F.
The functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,
[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift-Let the parent function is [tex]f(x)[/tex]. Thus, by replacing parent function with [tex]f(x-b)[/tex] Shifts the graph b units right, and by replacing parent function with [tex]f(x+b)[/tex] shifts the graph b units left.Vertical shift-Let the parent function is [tex]f(x)[/tex]. Thus, by replacing parent function with [tex]f(x)+c[/tex] shifts the graph c units down and by replacing parent function with [tex]f(x)-c[/tex] Shifts the graph b units up.The function of the graph is,
[tex]f(x) = (x -1)^2 + 1[/tex]
The function to be left of the vertex of the above function, b units must be added in the parent function such that,
[tex]f(x+b)[/tex].
The option B, E and F looks like this function.
Thus, the functions which has a graph in which the vertex and axis of symmetry are left of the vertex and axis of symmetry of the provided graph of f(x) are,
[tex]g(x) = -(x + 1)^2 - 2\\g(x) = -(x + 2)^2 + 2\\g(x) = 2(x + 1)^2 + 2[/tex]
Learn more about the transformation of a function here;
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what is the domain of the function (-2 ,3) (3,9) (4,12) (2,3)
Answer:
{-2,3,4,2}
Domain is basically the x values
Answer:
domain = {-2,3,4,2}
Step-by-step explanation:
domain is related to x coordinate of the point
One lap of racing track measured 5.04 km during a race of 61 laps a driver stopped to refuel after completing 29 laps how far was he from the finish line
Answer:
161.28km
Step-by-step explanation:
Total Laps are 61 Laps
Covered laps are 29 Laps
To be covered is 32 Laps
Each Lap is 5.04 km
Total to be covered is 5.04 x 32 = 161.28 km
Therefore, he was 161.28km away from the finish line.
A school ordered 323 new science books. If each book has 421 pages, how many total pages are there combined in the new science books?
Answer: 135983 pages
Step-by-step explanation:
1 book = 421 pages
323 books = 135983 ( 421 x 323)
Mark me as the brainiest answer
Please help me out with this
Answer:
219362.5
Step-by-step explanation:
219362.5 because 190750÷10=19075
19075÷2= 9537.50
19075+9537.50=28612.50
219362.5+28612.50=219362.5
The largest of the Great Pyramids in Egypt was built with a square base, having edges that measured 754 feet and a height of 418 feet. To the nearest cubic foot, what was the volume of the original structure?
Answer:
79,213,229 ft3
Step-by-step explanation:
The volume of a pyramid is given by the following formula:
Volume = (1/3) * B * h
Where B is the base area and h is the height.
The side of the base is 754 feet, so the base area is:
B = 754^2 = 568516 ft2
Then, the volume of the pyramid is:
Volume = (1/3) * 568516 * 418 = 79213229.33 ft3
Rounding to the nearest cubic foot, we have:
Volume = 79,213,229 ft3
