A planet follows an elliptical path described by 256 x squared plus 16 y squared equals 4096.256x2+16y2=4096. A comet follows the parabolic path y equals x squared minus 16.y=x2−16. Where might the comet intersect the orbiting planet?
Final answer:
To find the intersection points of the comet and the planet's orbits, we need to solve the system of equations formed by their respective path equations.
Explanation:
To find where the comet might intersect the orbiting planet, we need to find the common points between the equation of the planet's elliptical path and the equation of the comet's parabolic path.
By substituting the expression for y in the equation of the planet into the equation of the comet, we get 256x^2 + 16(x^2 - 16) = 4096.
Simplifying this equation and solving for x will give us the x-coordinates where the comet may intersect the planet's orbit. Substituting these x-values back into either the planet's or comet's equation will give us the corresponding y-coordinates.
Fiona is making a box to hold firewood cut to 20-inch lengths. The box has to be 2 feet wide to accommodate the length of the wood pieces. Fiona wants the length to be 7 feet longer than the height. The graph models the possible volume (y) of Fiona’s box determined by its length (x). Which value of x makes sense for the length of Fiona’s box? x < 7 x > 0 x > 3.5 x > 7
Answer:
c
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The radius of a circle is 21 in. What is the precise distance around the circle?
Answer:
IT IS REALLY 31
Step-by-step explanation:
Answer asap A box plot is shown below: A box and whisker plot is shown using a number line from 20 to 45 with primary markings and labels at 20, 25, 30, 35, 40, 45. In between two primary markings are 4 secondary markings. The box extends from 26 to 38 on the number line. A line in the box is at 31. The whiskers end at 20 and 43. The title of the art is Visitors at the Exhibition, and below the line is written Number of Visitors. What is the median and Q1 of the data set represented on the plot? Median = 31; Q1 = 26 Median = 30; Q1 = 26 Median = 31; Q1 = 20 Median = 30; Q1 = 20
Answer:
The Answer Is B. Median = 30; Q1 = 26
Step-by-step explanation:
Answer: Median 31 and Q1 is 26 its 100% verified
Step-by-step explanation:
triangle fgh is a right triangle? true or false
Answer:true
Step-by-step explanation:
Answer:
on ilearn i answered true and it was wrong. so the answer is false!
Step-by-step explanation:
ilearn
the nth term of a sequence is n+7
work out the first three terms
Answer:
Term 1
Substitute 1 into N
(1) + 7 =8
Term 2
Substitute 2 into N
(2) + 7 =9
Term 3
Substitute 3 into N
(3) + 7 = 10
Answer:
Step-by-step explanation:
hello : put this values n=1 , n=2 ;n=3
9.8g of sugar is needed for every cake made. How much sugar is needed for 4 cakes?
Answer:
39.2g of sugar
Step-by-step explanation:
4×9.8=39.2
one cake needs 9.8g so four cakes would need 39.2
Answer:
39.2 g of sugar
Step-by-step explanation:
You just need to multiply the amount by 4.
A cylinder has a volume of 315x cubic meters and a height of 21 meters. What is the area of the base?
15x square meters
18x square meters
294x square meters
o 6,615x square meters
15x quare meters.
V = π r2 h
2.1857 as r
21 Goves about 315 x cubic meters.
Area of a circle with 2.1857 as radius is around 15.
Which gives you 15x square meters.
Evaluate the expression 8 7/3
Answer: 31 / 3 exact form
10.3 decimal form
10 1 / 3 mixed number form
Step-by-step explanation:
Factor the trinomial:
5x^2 + 12x + 7
Terry is going to make some concrete mix. He needs to mix
cement, sand and gravel in the ratio 2 . 3 : 5 by weight. He
estimates he needs to make 220 kg of concrete mix.
Terry has:
• 50 kg of cement
• 90 kg of sand
• 100 kg of gravel
Does Terry have enough cement, sand and gravel to make the
concrete mix?
Answer:
No
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 + 5 = 10 parts
Divide 220 Kg by 10 to find the value of one part of the ratio.
220 Kg ÷ 10 = 22 Kg ← value of 1 part of the ratio, thus
2 parts = 2 × 22 = 44 Kg ← quantity of cement needed
3 parts = 3 × 22 = 66 Kg ← quantity of sand needed
5 parts = 5 × 22 = 110 Kg ← quantity of gravel needed
He has the required amounts of cement and sand but not of gravel.
Thus he cannot mix the concrete
Terry requires 44 kg of cement, 66 kg of sand, and 110 kg of gravel for the concrete mix. He has enough cement and sand but is short of gravel by 10 kg, so he cannot make the complete mix with the materials he currently has.
Explanation:First, we calculate the total parts of the mix by adding the ratio numbers: 2 (cement) + 3 (sand) + 5 (gravel) = 10 parts in total. Next, we find out how much each part weighs: 220 kg ÷ 10 parts = 22 kg per part. Then we multiply the number of parts for each material by the weight per part: Cement needed = 2 parts × 22 kg/part = 44 kg, Sand needed = 3 parts × 22 kg/part = 66 kg, Gravel needed = 5 parts × 22 kg/part = 110 kg. Now, let's compare these requirements with what Terry has:
Cement: needs 44 kg, has 50 kg — enoughSand: needs 66 kg, has 90 kg — enoughGravel: needs 110 kg, has 100 kg — not enoughIn conclusion, Terry does have enough cement and sand, but he does not have enough gravel for the mix.
Learn more about Concrete Mix Calculation here:https://brainly.com/question/31433966
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PLEASE HELP 15 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which set of three angles could represent the interior angles of a triangle?
A. 19 degrees, 70 degrees, 91 degrees
B.47 degrees, 12 degrees, 31 degrees
C. 50 degrees, 20 degrees, 20 degrees
D. 25 degrees, 25 degrees, 100 degrees
Answer:
(: Hey I got the answer for you its pretty simple. Its A 19, 70, 91
Step-by-step explanation:
Its A because if you add 19 + 70+ 91 you will get 180.
Answer:
A
Step-by-step explanation:
just add all the numbers together and you get 180
4. At the grocery store, Terry weighed his
apples on the scale. They weighed 4.3
pounds. When he went to the register, he
was charged $8.56. How much did Terry
pay per pound of apples?
A $0.99 per pound
B $1.49 per pound
C, $2.09 per pound
D $1.99 per pound
Answer:
D.$1.99 per pound
Step-by-step explanation:
$8.56 ÷ 4.3= 1.990697674
round answer to 1.99
Answer:
D. $1.99 per pound
Step-by-step explanation:
Divide the price of the apples by how much they weigh to find the unit price
price/weight
8.56/4.3=1.99069767
So, he paid about $1.99 per pound of apples
Hope this helps!
A certain television is advertised as a 45-inch TV (the diagonal length). If the width of the TV is 36 inches, how many inches tall is the TV?
The TV is 27 inches tall.
Step-by-step explanation:
Given,
The diagonal length of the TV = 45 in
The width of the TV = 36 in
To find the length the the TV.
Formula
By Pythagoras theorem,
h²=l²+b², where h be hypotenuse, b be base and l be height.
Now,
Putting, h=45, b= 36 we get,
45²=l²+36²
or, l²= 45²-36²
or, l²= 729
or, l = √729
or, l = 27
Hence,
The TV is 27 in tall.
What is the area of this composite figure?
12.56 in. sq
10.28 in. sq
7.14 in. sq
16.56 in. sq
Answer:
7.14 in. sq
Step-by-step explanation:
First find the area of the square; 2x2=4
Now find the area of the semi-circle; radius = 1.
1 squared= 1 Now multiply by 3.14 which equals 3.14
Now divide by 2 because it's a semi-circle, you get 1.57.
Multiply 1.57 by 2 because you have 2 semi-circles, the would equal 3.14
Add 4+3.14 and you get 7.14
The area of the composite figure is 7.14 in. sq
Answer:
Step-by-step explanation:
Mr. Z constructs a cube with 512 magnetic blocks. Students in his two classes will each make an identical cube. There are 28 students in one class and 25 students in the other class. How many blocks does he need for all his students?
Need help and steps
find the area of a circle with a circumference of 11 feet
Answer:
94.985 feet
Step-by-step explanation:
the formula for area of a circle is pi×r²
if you are using 3.14, it is 94.985
if you are using pi, then it is 95.03317777
Answer of this time table
Answer:
1st box= 5
2nd box= 3
3rd box= 8
4th box=5
Answer:
Step-by-step explanation:
1st box= 5
2nd box= 3
3rd box= 8
4th box=5
While at a bakery, Chad decides to purchase some cupcakes and brownies to share with his friends. He can spend no more than $13, and the bakery charges $3 for a cupcake and $2 for a brownie. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of cupcakes
y = the number of brownies
Answer:
13 divided by 6
Step-by-step explanation:
Final answer:
The situation where Chad is buying cupcakes and brownies with a budget of $13 is represented by the inequality 3x + 2y ≤ 13, where x is the number of cupcakes and y is the number of brownies.
Explanation:
To express Chad's purchasing situation at the bakery within his budget constraint in inequality form, we need to consider the cost per cupcake and brownie and how many of each he can buy without exceeding his budget of $13. Given that a cupcake costs $3 and a brownie costs $2, the inequality in standard form will reflect the price of each item multiplied by the quantity purchased.
The inequality representing this situation is 3x + 2y ≤ 13, where 'x' is the number of cupcakes and 'y' is the number of brownies. This inequality means that the total cost of cupcakes and brownies combined must not exceed $13, which corresponds to Chad's budget constraint.
i have four numbers that are 5, 6, 8, 10 which three of these numbers form a right triangle
Answer:
6, 8, 10
Step-by-step explanation:
Pythagorean theorem:
To form a right triangle we need to have 3 numbers where when we take the sum of the squares of the first two it equals the square of the third number.
If we take 6, 8, and 10 then if makes this true.
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100 (This means it's correct)
What is the converse of the following conditional statement? If x = 12, then 2x – 5 = 19.
Answer:
If 2x - 5 = 19, then x = 12
Step-by-step explanation:
an arc subtends a central angle measuring 2pi/3 radians. what fraction of the circumference is this arc?
Answer:
1/3
Step-by-step explanation:
The fraction of the circumference that the arc subtends is 1/3.
Explanation:An arc that subtends a central angle measuring 2π/3 radians is a fraction of the circumference. To find the fraction, we can use the formula:
Fraction of circumference = (angle/2π) x 1
Substituting the given angle into the formula, we have:
Fraction of circumference = (2π/3 /2π) x 1
Simplifying the expression, we get:
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What is the median for the given set of data?
{40, 54, 22, 30, 55, 13, 33}
A) 32
B) 33
C) 40
D) 42
Step-by-step explanation:
Arranging in ascending order, we get
13 , 22 , 30 , 33 , 40 , 54 , 55
no of data (N) = 7
Now Position of Median
= {(N +1 ) / 2}th item
= {(7+1) / 2 } that item
= 4 that item
So now exact median = 33
Answer:
The answer is 33
Step-by-step explanation:
By arranging the numbers in order of smallest to largest you get: ----------------> 13, 22, 30, 33, 40, 54, 55. Cross off a number from each side until you get one or two left in the middle. Cross out 13 and 55 then 22 and 54 then 30 and 40. Now you have 33 left in the middle, that is your median
FOR 30 POINTS WILL GIVE BRAINLIEST
The annual salaries of the sales team at Pat’s company are listed in the table below.
$42,000
$80,000
$50,000
$56,000
$45,000
$63,000
$42,000
$70,000
What is the mean salary of a salesperson at the company?
$38,000
$53,000
$56,000
$58,000
Answer:
C
Step-by-step explanation:
Answer:
$56,000
Step-by-step explanation:
A certain company's main source of income is selling cloth bracelets.
The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by:
P(x)=-2x^2+16x-24P(x)=−2x
2
+16x−24P, left parenthesis, x, right parenthesis, equals, minus, 2, x, squared, plus, 16, x, minus, 24
What bracelet price should the company set to earn this maximum profit?
Answer:8
Step-by-step explanation:
.
Answer:
2 or 6, you can type in either one.
Step-by-step explanation:
what's the answer to this ?
Answer:
x = 13.1°
A is correct answer
Step-by-step explanation:
Given Data:
Angle = ∅ = 24°
Base = b = 12
To find out:
Hypotenuses = x = ?
Formula:
Cos∅ = Base/Hypotenuses
Cos∅ = b/x
x = b/Cos∅
Solution:
x = b/Cos∅
x = 12/Cos(24°)
x = 12/0.91
x = 13.1°
What common side do AGDE and AHED share?
Answer:
The common side shared is ED.
Step-by-step explanation:
Answer:
The common side shared is ED , it is their common base
Which expression is equivalent to -3 -3x-1 + x?
2x-4
-2x +4
-2x-42
4- 2x
Answer:
the answer is -2x-4
Step-by-step explanation
Answer:
the answer is -2x-4
Step-by-step explanation:
Can anyone help me i was not a school and I need help
so the right answer is of option A.
Hope this will help u...
Answer:
A. 12375
Step-by-step explanation:
Simple Interest Formula:
[tex]A = P(1+rt)\\[/tex]
A = 37375 in this case. This is the amount of money you'll have after 9 years. However, the question asks for how much interest you'll gain, meaning you have to subtract the principle from it. 37375 - 25000 = 12375
Can anyone help this is due TODAY!!
Answer:
$1.67
Step-by-step explanation:
Let x be the no. of gums
96.6 + 0.79x》100
0.79x 》 3.4
x》4.3037974684
So x = 5
15% discount: she pays 0.85(96.6)
= 82.11
20% discount (after gums)
She pays 0.8[96.6 + 5(0.79)]
= 0.8(100.55)
= 80.44
Less:
82.11 - 80.44
= 1.67