Answer:
$250
Step-by-step explanation:
1st month you spent $300. And the flight back is $200. 300+200=500. 1500-500=1000. Yoy have 1000 dollars to spend in 4 months. 1000/4=250, so each month you can spend $250.
What are the center and the radius of the circle 4x2 + 4y2 - 4x + 16y + 1 = 0?
Answer:
Center of circle: (1, -2)
Radius: √6
Step-by-step explanation:
First, we need to isolate the constant:
Then, we can divide the whole equation by 4:
Then, we can complete the square(reminder: (a+b)^2 = a^2 + 2ab + b^2)
Now that we got the standard equation of the circle, we can find the center and radius by using the equation , where (h, k) is the coordinate of the center, and r is the radius.
Therefore, the center of the circle is (1, -2), and the radius of the circle is √6.
Step-by-step explanation:
The center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
To solve the question, we need to know the standard equation of a circle.
What is the standard equation of a circle?The standard equation of a circle with center (h,k) and radius, r is
(x - h)² + (y - k)² = r² (1)
Now, to find the center and radius of 4x² + 4y² - 4x + 16y + 1 = 0, we convert it to standard form by completing the square method.
What is completing the square method?This is a mathematical operation in which we convert a mathematical expression into a perfect square.
So, 4x² + 4y² - 4x + 16y + 1 = 0
Subtracting 1 from both sides, we have
4x² + 4y² - 4x + 16y + 1 - 1 = 0 - 1
4x² + 4y² - 4x + 16y = - 1
Divding through by 4, we have
x² + y² - x + 4y = -1/4
Adding half the square of the coefficient of x and y to both sides, we have
x² + y² - x + 4y + (-1/2)² + 2² = -1/4 + (-1/2)² + 2²
x² - x + (-1/2)² + y² + 4y + 2² = -1/4 + 1/4 + 2²
(x - 1/2)² + (y + 2)² = 0 + 2²
(x - 1/2)² + (y + 2)² = 2² (2)
Comparing equations (1) and (2), we have h = 1/2, k = -2 and r = 2.
So, the center and radius of the circle 4x² + 4y² - 4x + 16y + 1 = 0 are (1/2, -2) and 2 respectively.
Learn more about standard equation of a circle here:
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What value for x makes the following sentence true?
x+ 4 = 3(x - 2)
'A 5
B 40
C 20
D3
Answer:
Value of x = 5
Step-by-step explanation:
Given:
x + 4 = 3(x - 2)
Find:
Value of x
Computation:
x + 4 = 3(x - 2)
⇒ x + 4 = 3x - 6
⇒ x = 3x -6 - 4
⇒ x - 3x = -10
⇒-2x = - 10
⇒ x = -10 / - 2
Value of x = 5
What is 2(10) + 2(x – 4)
Can anyone find d-bar (the d with the line over it) and explain it to me? For this problem five trials are done at eight am and then twelve am. The eight am trials are 98.4, 98.6, 97.8, 97.1, and 97.5. The 12am ones are 98.9, 99, 97.9, 96.6, and 97.7. The correct answer is -0.14 but I can't get that answer.
Answer:
d-bar= ∑d/n= -0.7/ 5= -0.14
Step-by-step explanation:
Eight am 12 am difference (8:00am- 12:00 am)= d
98.4 98.9 (98.4-98.9=) -0.5
98.6 99 (98.6-99=) -0.4
97.8 97.9 (97.8-97.9=) - 0.1
97.1 96.6 (97.1-96.6=)+0.5
97.5 97.7 (97.5-97.7=)-0.2
∑ -0.7
d= difference between 8 am and 12 am
First we subtract the 12.00 am times from 8:00 am times.
Then we add all the differences to get the total difference ∑d.
∑d= -0.7= total of the difference between two times.
n= number of observations=5
Putting the values in the formula would give the answer.
d-bar= d`= ∑d/n= -0.7/ 5= -0.14
Find the first term of a sequence x+1,2x-18,2x-1,if this sequence is an arithmetic progression
Answer:
a₁ = 37
Step-by-step explanation:
In an arithmetic progression the common difference d is
d = a₂ - a₁ = a₃ - a₂ , that is
2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides
2x - 18 - x - 1 = 2x - 1 - 2x + 18
x - 19 = 17 ( add 19 to both sides )
x = 36
Thus
a₁ = x + 1 = 36 + 1 = 37
what ur fav ainme :)
please help! need answers today!!
Answer:
Step-by-step explanation:
log 31.3= 1.49554433755 (round to 1.496)
ln square root of 7= 0.97295507452 (round to .973)
Genise is making cookies. She needs 1 2/3 cups of flour for one batch, but she wants to make 2 1/2batches. Write an equation that can be used to find how many cups of flour Genise will need. I need help with my math quiz thanks
Answer:
(1 2 ÷ 3) (2 1 ÷ 2) = x
Step-by-step explanation:
The equation is
Let us assume x be the amount of flour she will need in cups.
Now
1 2 ÷ 3 becomes 5 ÷ 3
2 1 ÷ 3 becomes 5 ÷ 2
Now multiply each number
(5 ÷ 3)(5 ÷ 2) = x
25 ÷ 6 = x
Hence, (1 2 ÷ 3) (2 1 ÷ 2) = x this would be the equation
Hey! Could I get a lil bit of help? (10 points)
Which of the sets of ordered pairs represents a function? (5 points)
A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}
Group of answer choices
Only A
Only B
Both A and B
Neither A nor B
Answer:
Neither A nor B
Step-by-step explanation:
Neither set of order pairs represent a function, because none of the points have a correlating function throughout them.
Solve and write equation in Slope intercept
form (y=mxth) ! Label Slope and y intercept
1) -3x +y = 8
2) -2x + 3y = 1
3)5y +3X = 10
Answer:
Step-by-step explanation:
1. is y= 3 x +8
-3 x + y - 8= 0
y = 3x+ 8
2. is in the pictures
3.
3 X + 5 y - 10 = 0
Real solution:
y = 2 - (3 X)/5
Solution:
y = 2 - (3 X)/5
Integer solution:
X = 5 n, y = 2 - 3 n, n element Z
Solution for the variable y:
y = 1/5 (10 - 3 X)
What is 90\%90%90, percent of 202020?
Answer:
90 Percent of 20 is 18
Step-by-step explanation:
multiply 90 x 100 then divide by 20
Ilk defa buraya giriş yapıyorum sırf deneme için bir soru paylaşıyorum. 23*11= yukarıdaki soruyu yaparsanız sevinirim
Cevap:
253
Adım adım açıklama:
23 ve 11'in çarpımı;
_____2 ___ 3
___ * _ 1 ____1
_________
_____2____3
_ + _ 2_3
____________
__2__5____3
____________
Dolayısıyla 23 * 11'in çarpımı 253'tür.
Hesap makinesi problemi çözmekte zorlanırsa aynı sonuç.
what quadrilateral can you draw that has exactly one pair of parallel sides
Answer:
trapezoid
Step-by-step explanation:
Rewrite the point-slope equation in slope-intercept form: y - 3 = 2(x + 4)
A) y = 2x + 5C
B) y = 2x + 7
C) y = 2x + 9
D) y = 2x + 11
Answer:
y = 2x + 11
Step-by-step explanation:
y - 3 = 2(x + 4)
y - 3 = 2*x + 2*4
y -3 = 2x + 8
y = 2x + 8 +3
y = 2x + 11
15 points! whats value of q?
Answer:
30 degrees
Step-by-step explanation:
Good luck fam
The heights of a large population of ostriches are normally distributed. Which is the closest to the percentage of these heights that is within 3 standard deviations of the mean?
a. 95%
b. 99.7%
c. 0.3%
d. 5%
The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
What is the empirical rule?If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.
It is given that:
The heights of a large population of ostriches are normally distributed.
The percentage of these heights that is within 3 standard deviations of the mean
As we know from the empirical rule:
It is the rule of 68-95-99.7.
From the data given in the question:
The height of a large population of ostriches is normally distributed.
So,
X ~ (u, б²)
Normal distribution.
P{u - 3б < X < u + 3б}
From the distribution table:
P{u - 3б < X < u + 3б} = 99.7%
Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.
Learn more about the empirical rule here:
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Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped?
a. The relationship cannot be determined.
b. The final mean is the same as the original.
c. The final mean is lower than the original.
d. The final mean is higher than the original.
Answer:
The final mean is higher
Step-by-step explanation:
The mean of all the scores = [tex]\frac{90 + 85 + 98 + 60 + 84 + 78}{6\\} = \frac{495}{6} = 82.5\\[/tex]
The mean of the scores with the 60 dropped = [tex]\frac{435}{5} = 87[/tex]
The final mean is higher
That will always happen when you drop the lowest score. I worked it out for you so that you would see that it happened in your case.
Answer:
lol i have this question too
Step-by-step explanation:
btw is yall really in highschool, cuz this is a middle school question......
I need help with my home work please
A store pays $45 for a video game. The percent of markup is 35%. What is the selling price of the video game?
please help meee!
If the points (-9, ) and (-8, -9) fall on a line with a slope of -5. What is the value of f?
Answer:
the value of f is -9
Step-by-step explanation:
prove that 15-7 root 3 is irrational
Answer:
Step-by-step explanation:
[tex]\text{Did you mean}\\ \\ \sqrt[3]{15-7}\\ \\ \sqrt[3]{8}=2\text{ which IS a rational number}[/tex]
Wich hotel costs the least per night ? :)
Answer:
answer b
step - by - step explanation
Hotel A. per night charge is 64 $Hotel B. per night charge is 60$ Hotel c. per night charge is 65$y = 7x + 19
-21 x 3y = 57
Answer:
x= -2 y= -5
Step-by-step explanation:
b(-3)=-12
Find the solution
Answer:
b =4
Step-by-step explanation:
Remove parentheses.[tex]b * -3 =-12[/tex]
2. Regroup terms
[tex]-3b=-12[/tex]
3. Divide both sides by -3.
[tex]b=\frac{-12}{-3}[/tex]
4. Two negatives make a positive.
[tex]b=\frac{12}{3}[/tex]
5. Simplify [tex]\frac{12}{3}[/tex] to 4.
b = 4
hii please help i’ll give brainliest
Answer:
X>3
Step-by-step explanation:
If p : q = 2/3 : 3 and p : r = 3/4 : 1/2 , calculate the ratio p : q : r Giving your answer in its simplest form.
Answer:
Step-by-step explanation:
p:q = ⅔:3 = 2:9 = 6:27
p:r = ¾:½ = 3:2 = 6:4
p:q:r = 6:27:4
Find the median of the data set below:
3,5,7,10,10,4,7,5,8,10,6
Answer:
7
Step-by-step explanation:
First put them in order. I got 3, 4, 5, 5, 6, 7, 7, 8, 10, 10, 10. The middle is the sixth, because (1+11)/2 is 6. So the median is 7.
simplest form of ratio 24:36:60
Answer:
2:3:5
Step-by-step explanation:
24:36:60
1) Find the greatest common factor
24 ⇒ 1, 2, 3, 4, 6, 8, 12, 24
36 ⇒ 1, 2, 3, 4, 6, 9, 12, 18, 36
60 ⇒ 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Therefore, the greatest common factor is 12.
2) Divide all values by 12
24 ÷ 12 = 2
36 ÷ 12 = 3
60 ÷ 12 = 5
Therefore, the simplified form of the ratio is 2:3:5.
I hope this helps!
Find the rule and complete the table
Answer:
In-33
out-58
rule, subtract 4
A triangle has sides with lengths of 44 meters, 55 meters, and 77 meters. Is it a right triangle?
Answer:
no it is not a right triangle because the lengths add up to 176 and a right triangle should add up to 190.
Step-by-step explanation:
The side measures of the triangle does not form a right triangle.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The side lengths of the triangle are 44 meters, 55 meters, 77 meters.
For the triangle to be a right triangle, one interior angle should be 90°.
Based on the sides, by Pythagoras theorem,
Square of long side = sum of square of other two sides
⇒ [tex]77^{2}=44^{2} +55^{2}[/tex]
⇒ [tex]5929=1936+3025[/tex]
⇒ [tex]5929\neq 4961[/tex]
Hence we can conclude that the side measures of the triangle does not form a right triangle.
Learn more about triangles here
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