Answer:180
Step-by-step explanation:
.
Answer:
2×9(9+1)
18(10)
.180.
This hyperbola is centered at the origin. Find its equation. Foci: (-9,0) and (9,0) Vertices: (-2,0) and (2,0)
Answer:
Step-by-step explanation:
focus distance=9
a=2 f²=a²+b² ==> b²=9²-2²=77 ==> b=√77
[tex]\dfrac{(x-0)^2}{2^2}- \dfrac{(y-0)^2}{77}=1\\\\\\\boxed{\dfrac{x^2}{4}- \dfrac{y^2}{77}=1}\\[/tex]
Equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
What is hyperbola?Hyperbola is defined as an open curve having two branches which are mirror images to each other.
A plane curve generated by a point so moving that the difference of the distances from two fixed points is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone.
Given
Foci: (-9, 0) and (9, 0)
Foci: (±9, 0)
Vertices: (-2,0) and (2,0)
Vertices: (±2, 0)
So, a = ±2, c = ±9
Now [tex]c^{2} =a^{2} +b^{2}[/tex]
[tex]b^{2} =c^{2} -a^{2}[/tex]
[tex]b^{2} =9^{2} -2^{2}[/tex]
[tex]b^{2} =81-4[/tex]
[tex]b^{2} =77[/tex]
Equation of hyperbola is
[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]
⇒ [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex]
Hence, equation of hyperbola is [tex]\frac{x^{2} }{4} -\frac{y^{2} }{77} =1[/tex].
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Uma indústria produz mensalmente x lotes de um produto. O valor mensal resultante da venda deste produto é V(x) = 3x² + 400x e o custo mensal da produção é dado por C(x) = 5x² − 100x − 540. Sabendo que o lucro é obtido pela diferença entre o valor resultante das vendas e o custo da produção, calcule:
A) O número de lotes de produtos para maximizar o lucro?
B) Qual o lucro Mensal a indústria pode alcançar?
Answer:
The answer would be A
Step-by-step explanation:
8a=4(a-9)
Show work I need help
Answer:
a = -9
Step-by-step explanation:
8a=4(a-9)
Divide each side by 4
8a/4=4(a-9)/4
2a = a-9
Subtract a from each side
2a-a = a-9-a
a = -9
Answer:
-9
Step-by-step explanation:
8a = 4(a-9)
Use the distributive property (Multiply 4 times a, and 4 times -9)
8a = 4a - 36
Bring the 4a to the other side
8a - 4a = -36
Add like terms
4a = -36
Divide both sides by 4 to get a by itself
a = -9
29 dekagrams equals 2900 what
Answer:
It equals 2900 decigrams
Step-by-step explanation:
29 dekagrams = 290 grams
290 grams = 2900 decigrams
Therefore, 29 dekagrams = 2900 decigrams
The equivalent weight in grams for a given weight in dekagrams is approximately 10 times the weight in dekagrams.
To find the equivalent weight in grams for a given weight in dekagrams, you can use the conversion factor that 1 dekagram (dag) is equal to 10 grams.
Given the information that 29 dekagrams equals 290 grams, you can set up a proportion:
[tex]\(\frac{29 \text{ dag}}{290 \text{ g}} = \frac{1 \text{ dag}}{x \text{ g}}\)[/tex]
Cross-multiplying:
[tex]\(29x = 290 \times 1\)[/tex]
Solving for x:
[tex]\(x = \frac{290}{29}\)\\\\\(x \approx 10\)[/tex]
Therefore, the equivalent weight in grams for a given weight in dekagrams is approximately 10 times the given weight in dekagrams.
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Complete Question:
If 29 dekagrams equals 290 grams, what is the equivalent weight in grams for a given weight in dekagrams?
can someone solve this for me and explain it please
Answer:
Answer is Triangle P'R'Q' is larger, explain how you know is steps
Step-by-step explanation:
So a Dilation is the expansion or shrinkage of an object. Because this is being dilated by 1.5 it is growing by 1.5
So triangle PRQ is the smaller version of P'R'Q' because
Line PR = 3.1
Line RQ = 3.9
Line QP = 5
Multiplying these by 1.5 you get
Line P'R' = 4.65
Line R'Q'= 5.85
Line Q'P' = 7.5
HELP! 25 minus 6 times a number increased by 3 times the same number is -56
Write equation and solve.
Answer:
25 - (6 x y) + (3 x y) = -56, y = 3.44
Step-by-step explanation:
-56 + 25 = 31, 6y + 3y = 9y, 31 = 9y, 31 / 9 = 3.44
it's a repeating number so uh yeah
y = 3.44
Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables
please help
Answer:
Step-by-step explanation:
2x+1=x-4
2x-x= -4-1
1x=-5
x=-5what is 5tx+4t=???
????????????
Answer:
t(5x + 4)
Step-by-step explanation:
im not entirely sure if this is correct
Answer:
t×(5x+4)
Step-by-step explanation:
factor out t from the expression
85% of what number is 27.2
Which choice is equivalent to the product below when x > 0?
Square root of 2/x time square root of x^2/8
Answer:
A.
[tex] \sqrt{x } \div 2[/tex]
is the answer
The choice which is equivalent to [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex] is given by (A) [tex]\frac{\sqrt{x}}{2}[/tex].
What is expression?Expression is a mathematical term that involves variables, numbers and other mathematical quantities and operations or combinations of them.
The given expression is [tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}[/tex]
Calculating the expression we get,
[tex]\sqrt{\frac{2}{x}}\cdot\sqrt{\frac{x^2}{8}}=\sqrt{\frac{2}{x}\cdot\frac{x^2}{8}}=\sqrt{\frac{x}{4}}=\frac{\sqrt{x}}{2}[/tex]
So the expression equals to [tex]\frac{\sqrt{x}}{2}[/tex].
Hence the correct option is (A).
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Is 9.5 an irrational number
Answer:
yes it is.....................
Step-by-step explanation:
9.5 = 19/2
So it is a rational number (and so is not irrational)
Is the following irrational or rational?
ILL GIVE BRAINLIEST
6.4
2.178046372849
-2
5.
A bank statement shows transactions of -$10.40 and $8.50.
A. Do these transactions represent deposits or withdrawals?
Plz help
A negative value is when money is taken out ( withdrawal). A positive value is when money is added to the account(deposit)
-10.40 is a withdrawal
8.50 is a deposit
Answer:
Hint :- Withdrawal is denoted as the -ve sign and deposit are denoted by the +ve sign. This is because if we deposit money then the money increase and if we withdraw then the money decreases.
-10.40
See there is a negative sign. This means it is a withdrawal
8.50
See there is a positive sign. This means it is a deposit
HELP!! Will mark as brainliest!!!
In school, pupils study one language.
They choose either French, Spanish or Italian.
3/20 of the pupils study Italian and 5/8 of the pupils study French
What fraction of the pupils study Spanish?
Answer:
19/40
Step-by-step explanation:
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HELP HELP HURRYYY the product of two numbers is rational. The first number is 3 sqrt2. What is the possible value of the other number?
The possible value of the other number will be 7√32. The correct option is D.
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.
It is given that the first number is 3√2 the value of the second number will be:-
Rational number = 3√2 x 7√32
Rational number = 21√64
Rational number = 21√( 8 x 8 )
Rational number = 21 x 8
Rational number = 168
Therefore, the possible value of the other number will be 7√32. The correct option is D.
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why reason distance cannot be negative?
Answer:
Distance cannot be negative because no matter which direction you travel, you will never travel negative units.
Step-by-step explanation:
Distance cannot be negative in the same way that when you put a car in reverse, the odometer does not go backwards.
If you have a mailbox 30 feet east of your house and a park 30 feet west of your house, you can think of it like a number line: your house is 0, the park is -30 and the mailbox is 30. But, if you walk to your park, you have not walked -30 feet.
The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square.
Find the side of the triangle (Hint: An equilateral triangle has three sides the same length.)
The side of the triangle is __in3. - in. - in2.
Solve the inequality.
-4 < 2x - 6 < 12
[?]
Hi ;-)
-4 ≤ 2x - 6 ≤ 12
2x - 6 ≥ -4 / + 6
2x ≥ 2 / : 2
x ≥ 1
2x - 6 ≤ 12 / + 6
2x ≤ 18 / : 2
x ≤ 9
1 ≤ x ≤ 98.
Find the number of real number solutions for the equation. x2 – 10x + 25 = 0
A. 0
B. 1
C. 2
D. cannot be determined
Answer:
B. 1
Step-by-step explanation:
Answer:
Option B is correct
The number of real number solutions for the given equation is, 1.
Step-by-step explanation:
Given the equation:
Since, this is a quadratic equation of the form of
where a =1 , b = -10 and c =25.
The discriminant of a quadratic equation is,
then;
Discriminant = = (100-100) = 0
Since, a discriminant of zero means there is only one real solution for x.
Substitute the given values.
Simplify:
x = 5
Therefore, the number of real solution for the given equation is, 1
Find the circumference of a circle if the area of the circle is 256 π in².
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in
George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.
a. What is the area of the pool cover?
b. What is the length of the rope?
You must show all of your work to receive credit
Answer:
The cover has diameter of:
20 feet + 2*12 inches = 20 feet + 2 feet = 22 feeta.
Area of the pool cover:
A = πd²/4 = 3.14*22²/4 = 379.94 ft²b.
The length of the rope:
C = πd = 3.14*22 = 69.08 ftAnswer:
346.19ft65.94ftStep-by-step explanation:
Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.
20 + 2 = 22ft
Part A:
The formula for the area of a circle is πr².
To find the radius just divide by two; 22 / 2 = 11ft
= π(11)²
= 121π
≈ 379.94ft
Part B:
We can use the circumference formula [ dπ ] to find how long the rope is.
= 22(3.14)
= 69.08ft
Best of Luck!
How to solve this
6x times 1/6
In 35 ÷ 7 = 5, 5 is the
From a tap 60 ml of water is leaked within 5 minutes. Find the wasted amount of water within 2 hours from this tap
Answer:
1440 mL
Step-by-step explanation:
2 hours = 120 minutes
120/5 = 24
24 * 60 = 1440
If my answer is incorrect, pls correct me!
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-Chetan K
I am the only toolkit function that has a start and end number for the range. I am also the only that is cyclic, meaning I repeat over and over.
Which toolkit function am I?
The Toolkit function that has a start and end number for the range and is also cyclic is ; The constant Function ( i.e. f(x) = a )
There are about (9) toolkit functions and some of these toolkit functions :
Constant function Cube root function Square root functionreciprocal squared functionreciprocal functioncubic and quadratic function Absolute value functionThe common characteristics between the various toolkit functions is that they all have undefined domains ( i.e. ( - ∞ , ∞ ) or ( -∞, 0 ), and undefined ranges as well. while the only Toolkit function with a defined range is the Constant function { a, a }
The range for a Constant function starts and ends with the value of the given constant. i.e. { a, a }. while other functions have undefined range values.
Hence we can conclude that the Toolkit function with a start and end number for the range is the Constant function.
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Answer:
The constant Function
Plz help me answer this question
Answer:
I think it's the top left one
Step-by-step explanation:
The length is 6, the width is 3, and the height is 4, which matches the expression.
Step-by-step explanation:
[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]
3(b − 6) = 9
b =
The test is timed
Answer:
b = 9
Step-by-step explanation:
3(b − 6) = 9
3b - 18 = 9
3b = 9 + 18
3b = 27
b = 9
Answer:
b = 9
Step-by-step explanation:
[tex]3(b - 6) = 9[/tex]
[tex]3(b - 6) \div 3 = 9 \div 3[/tex]
[tex]b - 6 = 9 \div 3[/tex]
[tex]b - 6 = 3[/tex]
[tex]b - 6 + 6 = 3 + 6[/tex]
[tex]b = 3 + 6[/tex]
[tex]b = 9[/tex]
I have two ice cream and I - 5 ice creams how many ice cream will be left
Answer:
2 1/5
Step-by-step explanation:
I need help from big brain
Answer:
[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.
I hope this helps :). If you have any questions let me know. Have a good day.
Which of these represents a whole number?
3.2 , 4, 8/4, 4/7
Answer:
4
Step-by-step explanation:
a whole number is a number with no fraction
4 is a whole number.
What is whole number?
Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.
A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.
Hence, 4 is a whole number.
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