HELP QUICK!!!
An ellipse has foci F1(9, 0) and F2(11, 6), and the point (1, 6) is on the ellipse. Identify the constant sum for the ellipse.
a 20
b 10
c 0
d 100
Answer: 20
Step-by-step explanation:
If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?
Answer:
If there are 52 ounces of cereal in 2 boxes, how many ounces are there in 5 boxes?
Step-by-step explanation:
If we have 52 ounces in 2 boxes, in 1 box we have: 52/2 = 26 ounces.
If we have 5 boxes and 26 ounces in each, we have: 5 x 26 = 130 ounces in total.
The sum of two numbers is 54 . the smaller number is 12 less than the larger number. what are the numbers?
A and b are complementary angles find a and b a=3/4x-13 b=3x-17
Which is heavier 9 5/8 pounds or 9 3/4 pounds
Please help me !!!!!!!!
The sum of two numbers is 33. Twice the first number minus the second number equals 18. Find both numbers.
The both numbers are = 17 and 16
Solving for the unknown numbersThe sum of two numbers = 33
Let the two numbers be X and y.
therefore X + y = 33 ----> equation 1
Twice the first number minus the second number= 18.
That is,
2x - y = 18 -----> equation 2
From equation 1 make X the subject of formula;
X = 33 – y
substitute X into equation 2,
2(33 – y) - y = 18
66 – 2y – y = 18
66 – 3y = 18
66 – 18 = 3y
48 = 3y
y = 48/3
y = 16
Substitute y = 16 into equation 1
Therefore, X +16 = 33
X = 33 –16
X = 17
Therefore, he both numbers are = 17 and 16
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If BC=5.3, CD=8.8, and AD= 14.3, find AB to the nearest tenth.
Step-by-step explanation:
8.6 is the answer to the equation
Find the product.
(n + 7)(n - 2)
n² - 5n - 14
n² + 5n - 14
n² - 5n + 14
solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-6x=20
20 POINTS, PLEASE HELP ASAP!!!!
Rectangular prisms A and B are similar.
The edge of prism B is 3 times that of prism A. How many times the volume of prism A is the volume of prism B?
5/14 divided by 3/4, what's the answer
Driving on the North West Express-way, Debbie averaged 62 miles per hour for 3 & one fourth hours. How far did she drive?
1/4 = 0.25
s0 3 1/4 = 3.25
62x3.25 = 201.50 miles = 201 1/2 if you need it in fraction form
What is the precise definition of an angle? question 1 options:?
Twenty times the square of a non-zero number is equal to 15 times the number
At a sandwich shop they offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination of exactly 3 ingredients: 1 bread, 1 meat, and 1 cheese. How many types of sandwiches are possible?
The sandwich shop could yield a total of 45 types of sandwiches based on the three categories provided; namely, bread, meat, and cheese. According to the counting principle in mathematics, you multiply the amount of options available from each category to get the total combinations possible.
Explanation:In the scenario described, to determine the possible number of sandwiches, we need to analyze the provided combinations. We have 3 types of bread, 5 kinds of meat, and 3 kinds of cheese. Each sandwich exactly contains one item from each category.
To find out all possible sandwich combinations, we multiply the number of choices in each category. This is known as the counting principle.
So, the formula would be:
Number of sandwich combinations = Types of Bread * Types of Meat * Types of Cheese
Plugging the given numbers into this formula, we get:
Number of sandwich combinations = 3 * 5 * 3 = 45
So, there are 45 possible sandwich combinations available in this sandwich shop.
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#SPJ12
1. Evaluate 6.314 - 9.77.
3.456
-3.464
-3.456
-16.084
2. Evaluate -5.118 - (-4.1).
-9.218
-1.018
1.018
9.218
3. Find the value of x + y for x = 75.9 and y = 2.65.
10.24
102.4
78.55
79.55
4. Find the value of -x + y for x = 75.9 and y = 2.65.
-78.55
78.55
73.25
-73.25
Answer:
1. -3.456
2. -1.018
3. 78.55
4. -73.25
Step-by-step explanation:
In Algebra, the following notations have to be considered.
Algebra is a branch of mathematics that deals with the computation of numbers irrespective of the signs involved.
- × - = +
+ × - = -
- × + = -
+ × + = +
Therefore,
1. 6.314 - 9.77 = -3.456
2. -5.118 - (-4.1) = -5.118 + 4.1 = -1.018
3. x + y for x = 75.9 and y = 2.65.
This requires substitution
75.9 + 2.65 = 78.55
4. -x + y for x = 75.9 and y = 2.65
= -75.9 + 2.65
= -73.25
Find the area of the triangle
Find the area of a sector that has a central angle of 40 and a radius of 2 cm. Round your answer to the nearest 100th. Use 3.14=
A quiz has 4 multiple-choice questions with 4 possible answer choices each. for each question, there is only 1 correct answer.a student guesses each answer at random. what is the probability of getting exactly 3 questions correct, to the nearest percent?(3 correct and 1 incorrect)
Answer: (quartered spinner) (4) (1/256)
Someone help me please !!!
Answer:
1. 10
2. 12
3. Sqrt 130
4. Sqrt 45
Step-by-step explanation:
To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where a and b are the legs with a being the smallest and c is the hypotenuse.
1. a=6, b=8, c=?
[tex]6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c[/tex]
2. a=5, b=?, c=13
[tex]5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b[/tex]
3. a=7, b=9, c=?
[tex]7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c[/tex]
4. a=2, b=?, c=7
[tex]2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b[/tex]
Webassign find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at the point (6, 36), and the x-axis.
The cells of a certain culture of bacteria double every 6 minutes. If the culture contains 100 cells in the beginning, then the total number of cells P in this culture after t minutes is given by the exponential equation P = 100(2)t/6. Identify the number of minutes it will take for the number of cells to exceed 50,000.
A) 53 min
B) 49 min
C) 48 min
D) 54 min
Since the growth is exponential, therefore I believe the correct form of the equation is:
P = 100 (2)^(t / 6)
Where t / 6 is the exponent of 2
So to find for the amount of time needed to exceed the population of 50,000, all we have to do is to plug in that value in the equation and find for t. Therefore:
P = 100 (2)^(t / 6)
50000 = 100 (2)^(t / 6)
500 = 2^(t / 6)
log 500 = (t / 6) log 2
t / 6 = log 500 / log 2
t = 6 * 8.96578
t = 53.8 mins = 54 mins
Answer:
D. 54 min
A tea bag is shaped like a regular square pyramid. Each leg of the base is 4 cm, and the slant height is 5 cm. Find the VOLUME of the tea bag.
Find the area of the larger regular pentagon if the smaller pentagon has an area of 43.01 inches^2. The side length of the small pentagon is 5 and the side length of the large pentagon is 8.
Evaluate 9 - b when b = 8
Equations are expressions separated by an equal sign. The value of the expression 9-b is b is 8 is given as 1
Equations and expressionsEquations are expressions separated by an equal sign
Given the expression 9 - b
If b = 8, we will have to substitute the value of 8 into the expression to have:
f(b) = 9 - b
f(8) = 9 - 8
f(8) = 1
Hence the value of the expression 9-b is b is 8 is given as 1
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Solve 2x + 5y = −13
3x − 4y = −8
From 75 campsites to 120 campsites
subtract 75 from 120
120-75 =45 more campsites
Write an equation for the translation of the function. y = cos x; translated 6 units up
Answer:
[tex]y=cos(x)+6[/tex].
Step-by-step explanation:
We are asked to write an equation for the translation of the function [tex]y=cos(x)[/tex] to 6 units upwards.
Let us recall transformation rules.
[tex]f(x)\rightarrow f(x+a)=\text{Graph shifted to left by a units}[/tex]
[tex]f(x)\rightarrow f(x-a)=\text{Graph shifted to right by a units}[/tex]
[tex]f(x)\rightarrow f(x)+a=\text{Graph shifted upwards by a units}[/tex]
[tex]f(x)\rightarrow f(x)-a=\text{Graph shifted downwards by a units}[/tex]
Since we need to shift our given function 6 units upwards, so we will add 6 to our given function outside the parenthesis as:
[tex]y=cos(x)+6[/tex]
Therefore, our required equation would be [tex]y=cos(x)+6[/tex].