The distance from the center to where the foci are located exists 8 units.
How to determine the distance from the center?The formula associated with the focus of an ellipse exists given as;
c² = a² − b²
Where c exists the distance from the focus to the center.
a exists the distance from the center to a vertex,
the major axis exists 10 units.
b exists the distance from the center to a co-vertex, the minor axis exists 6 units
c² = a² − b²
c² = 10² - 6²
c² = 100 - 36
c² = 64
[tex]c = \sqrt{64}[/tex]
c = 8
Therefore, the distance from the center to where the foci are located exists 8 units.
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What is the minimum number of cards that must be drawn from an ordinary deck of cards to guarantee that you have been dealt at least three aces?
The minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
According to the given question.
We have a deck of cards.
As, we know that
The total numbers of cards in a deck = 52
Since, we have to find the minimum number of cards to be drawn so that we will get atleast 3 cards of aces.
As they have used atleast in the question so the cards can be more also so we have to reach at minimum number of cards to be drawn to guarantee atleast 3 cards of aces.
Number of suits in a standard deck= 4 (Clubs, Hearts, Diamond, Spades)
Number of aces in a suit = 1
We need atleast three cards of aces. Which means that we have 4*1 =4 cards from each suit.
Thereofre, the minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.
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If f(3x)=f(3) + f(x) then show that f(1)-f(3)-f(9) -f(27) = f (81).
The claim is wrong, or your question is incorrectly entered.
[tex]x=1 \implies f(3) = f(3) + f(1) \implies f(1) = 0[/tex]
[tex]x=3 \implies f(9) = f(3) + f(3) = 2f(3)[/tex]
[tex]x=9 \implies f(27) = f(3) + f(9) = 3 f(3)[/tex]
[tex]x=27 \implies f(81) = f(3) + f(27) = 4f(3)[/tex]
Then
[tex]f(1) - f(3) - f(9) - f(27) = 0 - f(3) - 2f(3) - 3f(3) = -6f(3) \neq 4f(3) = f(81)[/tex]
at least if [tex]f(3)\neq0[/tex].
In a diagram showing two parallel lines cut by a trasversal, the measures of two same side interior angles are both given as 3x. Without writing and solving an equation, can you determine the measures of both angles? Explain. Then write and solve an equation to find the measures
Answer:
90 degrees
Step-by-step explanation:
Same side interior angles, or consecutive angles, are supplementary (angle measures add up to 180 degrees). Since both angles have measures 3x degrees, the angles are congruent (same angle measure). In Geometry, when two angles are congruent and supplementary, the two angles are right angles (angles measuring 90 degrees). Therefore the angle measures of the two angles are 90 degrees and 90 degrees.
Or, to solve this algebraically, add 3x and 3x, let it equal to 180 degrees, solve for x, and find the angle measures by substituting x into the expression.
3x + 3x = 180
6x = 180
x = 30
3x = 3*30 = 90
PLEASE I NEED HELP PLEASE
Answer:
i'll give you answer.Dont worry. Since i came back from school
An equation is shown below:
6(2x – 11) + 15 = 3x + 12
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
Source
StylesFormatFontSize
Answer:
x = 7
Step-by-step explanation:
Distribute -
12x − 66 + 15 = 3x + 12
Combine Numbers and Variables -
12x - 51 = 3x +12
Get x on one side (isolate x) -
9x - 51 = 12
9x = 63
Divide 9 -
x =7
The cost of a watermelon depends on its weight. Which of the following
shows this idea expressed in function notation?
Answer:
20 pounds
Step-by-step explanation:
i took the test trust me i got 2 points
Answer:cost(weight)
Step-by-step explanation:
can someone help me really quick?
Answer:
Step-by-step explanation:
23 - (-2)
= 23 + 2
= 25
1) The mistake you made was to subtract 2 from 23 instead of subtracting -2 from 23.
2) Keep in mind the difference between the '-' used as a subtraction and the '-' used for indicating a negative number.
If you like, remember the mantra ' 2 negatives make a '+'.:-
2 - -4
= 2 + 4= 6.
O Yes
O No
2. (02.01 LC)
Is the following relation a function? (1 point)
{(3,-2), (1, 2), (-1,-4), (-1, 2)}
Answer:
No
Step-by-step explanation:
Each x can have only ONE y as its partner. In this relation, -1 has TWO different partners: in one point (-1,-4) the y is -4 and in another point (-1,2) the y is 2. Not a function.
PLS HELP ASAP! THX
Let g(x)= 2x^2+3x-9 and h(x)=x^2+2x-6
Find (h-g)(2.1)
The value of the polynomial difference when the value of x is 2.1 is -3.51
Difference of polynomialsPolynomials are functions that has a leading degree of 3 and above. Given the following polynomial expression below;
g(x)= 2x^2+3x-9 and;
h(x)=x^2+2x-6
Take the difference
(h-g)(x) = h(x) - g(x)
Substitute
(h-g)(x) = x^2+2x-6 - (2x^2+3x-9)
(h-g)(x) = x^2+2x-6-2x^2-3x+9
(h-g)(x) = -x^2-x+3
Substitute the value of x to have;
(h-g)(2.1) = -(2.1)^2 - 2.1 + 3
(h-g)(2.1) = -4.41 + 0.9
(h-g)(2.1) = -3.51
Hence the value of the polynomial difference when the value of x is 2.1 is -3.51
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Which of the following is a function?
A. {(2,9), (2,8), (-3,7), (-3,6))
B. ((-4,3), (1,0), (1,2), (2,3)}
C. {(2,1), (4,2), (6,3), (8,4))
D. {(1,2), (-2,3), (1,3), (-2,2))
Answer: C
Step-by-step explanation:
A function only exists if each x-value has only one possible y-value.
C is the only function because each x-value has only one y-value.
The other answer choices have x-values that have multiple y-values. In answer choice A, it has (2,9) and (2,8). In answer choice B, the set has (1, 0) and (1,2). And in answer D, it has (1,3) and (1,2)
Answer + Step-by-step explanation:
let f be the relation that we are studying.
f is a function if it associates a unique output (number) to each input (number) .
A. {(2,9), (2,8), (-3,7), (-3,6))
Since f(-3) = 7 and f(-3) = 6
Then
f associates -3 to two different outputs 7 and 6.
Then
f cannot be a function.
B. ((-4,3), (1,0), (1,2), (2,3)}
Since f(1) = 0 and f(1) = 2
Then
f cannot be a function.
C. {(2,1), (4,2), (6,3), (8,4))
f is a function.
D. {(1,2), (-2,3), (1,3), (-2,2)
Since f(-2) = 3 and f(-2) = 2
Then
f cannot be a function.
A quarterback throws an incomplete pass. the height of the football at time t is modeled by the equation h(t) = –16t2 40t 7. rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. which solution can be eliminated and why? the solution –0.2 s can be eliminated because time cannot be a negative value. the solution –0.2 s can be eliminated because the pass was not thrown backward. the solution 2.7 s can be eliminated because the pass was thrown backward. the solution 2.7 s can be eliminated because a ball cannot be in the air for that long due to gravity.
The solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.
How to determine the solution that can be eliminated?The equation is given as:
h(t)) = -16t^2 + 40t + 7
From the question
When h(t) = 0, the values of t are
t = -0.2 and t = 2.7
The t in the function h(t) represents time
As a general rule, time cannot be negative.
This means that the solution t = -0.2 can be eliminated
Hence, the solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.
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A convenience store sells two brands of orange juice Brand A contains 11 fluid once and costs
$2.31. Brand B contains 15 fluid ounces and costs $2.70.
What is the difference in cost, in dollars, per fluid ounce between the two brands of juice
Answer:
$0.03
Step-by-step explanation:
2.31/11 =.21
2.70/15 =.18
.21-.18 = .03
he system of equations below has no solution.
StartLayout enlarged left-brace 1st row two-thirds x + five-halves y = 15 2nd row 4 x + 15 y = 12
Which equation could represent a linear combination of the system?
a linear combination can be:
(a + b)*(4x + 15y) = a*12 + b*15
How to solve the given system of equations:Here we have the system of equations:
(2/3)*x + (5/2)*y = 15
4x + 15y = 12
To solve the system of equations, we first need to isolate one of the variables in one of the equations, I will isolate x on the second equation.
4x = 12 - 15y
x = (12 - 15y)/4
Now we can replace that in the other equation:
(2/3)*x + (5/2)*y = 15
(2/3)* (12 - 15y)/4 + (5/2)*y = 15
Now we can solve that for y.
2 - (10/4)*y + (5/2)*y = 15
2 = 15
That is a false equation, then we conclude that the system of linear equations has no solutions.
This means that the two lines are parallel lines, then a linear combination can be:
(a + b)*(4x + 15y) = a*12 + b*15
Where a and b are two real numbers.
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Answer:Your answer is
There are no solutions.
Step-by-step explanation:Brainliest Please?
20 POINTS TO SOLVE THIS ANSWER!!!
Answer:
V₁ = 104 in.³ , S₂ = 650 in. ²
Step-by-step explanation:
⇒ Ratio = 4/10 = 2/5
⇒ V₁ : V₂ = (ratio)³ = 8/125 {geometric scale}
⇒ S₁ : S₂ = (ratio)² = 4/25
∴ V₁ = 8/125 × V₂ = 1,625 in³ × 8/125 = 104 in.³
⇒ S₂ = 25/4 × S₁ = 104 in² × 25/4 = 650 in.²
The picture has both the graph and the answer choices plesse help
Answer: Option (4)
Step-by-step explanation:
The graph has a y-intercept of 2.
Eliminate options (1) and (3).The graph passes through (2,4).
Eliminate option (2).This leaves option (4) as the correct answer.
Subtract the given fraction:-
[tex] \frac{3}{5} - \frac{5}{3} = [/tex]
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
○ 1 hour 41 minutes or more
Step-by-step explanation:
We can make two equations that represent the total amount each plumber charges.
If [tex]x[/tex] represents the number of hours they work, then:
•Total charged by Plumber A = [tex]35 + 15x[/tex]
• Total charged by Plumber B = [tex]40+12x[/tex]
Now, if Plumber A is more expensive than Plumber B, then:
Total charged by Plumber A > Total charged by Plumber B
∴ [tex]35 + 15x[/tex] > [tex]40+12x[/tex]
Now all we have to do is solve for [tex]x[/tex]:
[tex]35 + 15x[/tex] > [tex]40+12x[/tex]
⇒ [tex]35 + 15x -12x > 40[/tex]
⇒ [tex]35 + 3x > 40[/tex]
⇒ [tex]3x > 5[/tex]
⇒ [tex]x > \bf \frac{5}{3} \space\ \mathrm{h}[/tex]
[tex]\frac{5}{3} \space\ \mathrm h[/tex] is equivalent to [tex]\frac{5}{3} \times 60 \space\ \mathrm {min}[/tex] = 100 minutes, which is the same as 1h 40min.
This means if Plumber A works more than 1h 40min, they become more expensive than Plumber B.
More than 1h 40min is equivalent to '1 hour 41 minutes or more', therefore the first option is correct.
Find the surface area of the composite figure.
5 cm
6 cm
20 cm
4 cm
5 cm 4 cm
SA =
12 cm
-6 cm
[?] cm²
Answer:
[tex]644cm^2[/tex]
Step-by-step explanation:
First we'll work out the surface area of the pink figure.
That's the area of the two 5 by 6 rectangles on the top and bottom, plus the area of the two 5 by 20 and two 6 by 20 rectangles on the sides.
However, we note that the purple figure is blocking out a 6 by 12 section on the pink figure, so we'll need to subtract this.
The above works out to [tex]2\times(30+100+120)-72=428 cm^2[/tex].
Then we'll work out the surface area of the purple figure.
This will be the area of the two 4 by 6 rectangles at the top and bottom, plus the area of the two 4 by 12 and one 6 by 12 rectangles on the sides. Note that there's only one 6 by 12 rectangle because the other face is joined to the pink figure, so it's blocked out.
That's [tex]2\times(24+48)+72=216cm^2[/tex].
So the total surface area is [tex]428+216=644cm^2[/tex].
Question 10 of 28
Which of the following expressions are equivalent to
2. ? Choose all that apply.
ھر - 20
A.
B.
c.
2
(3)2 - (13 )2
1
1
(x3 - 3 ) ( + 13 )
2
1
(3 - 13) (3 - 13)
مردم زمرے
2
1
D. (x3 - 3 ) ( + 13 )
Answer: A, D
Step-by-step explanation:
A) Correct. [tex](x^3)^2=x^{(3)(2)}=x^6[/tex]. Similar logic for y.
B) Incorrect. The numerators are different.
C. Incorrect. The denominators are not the same.
D. Correct. The denominators are the same by difference of squares.
Let f (x) be a polynomial function with a zero of multiplicity of 1 at 2 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g of x equals the cube root of x minus 2 Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations. (5 points) Part B: Let h (x) be the piecewise defined function of h of x is the piecewise function of f of x if x is less than 0 and g of x if x is greater than or equal to 0 Are there any breaks in the domain of h (x)? Explain why or why not. (5 points)
The polynomial functions in their expanded form is given as follows. It is right to state that there are no breaks in the domain of h(x).
In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.
For instance, the polynomial 3x+4 has an exponent of 1.
Part A: F(x) has zero at 2 and multiplicity of 1; and
1 at the multiplicity of 2
f(x) = x-2) (x-1)²
= (x-2) (x² - 2x + 1)
= x³ - 4x² + 5x -2
Part B: h (x) = [tex]\left \{ {{x^3 -4x^2 + 5x -2; X < 0} \atop {\sqrt[3]{x-2} ; X\geq 0 }} \right.[/tex]
The domain of X is X ∈ R
Hence it is correct to state that there are no breaks in the domain of h(x).
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Noah has 22 5 of a pound of rice in his cupboard. He also has 8 9 of that amount in his pantry. Which of the following equations could be used to determine how much rice he has in the pantry?
225/0.88*100%
255.68*100
25,568 pounds in pantry
When taking a 17 question multiple choice test, where each question has 3 possible answers, it would be unusual to get or more questions correct by guessing alone?
Answer: If you’re talking on a percentage basis, it would be extremely unlikely to get a majority of the questions correct.
Step-by-step explanation:
Use the scatter plot and line of best fit to predict the value of y when x equals 1910.
I'll go for 40.
To find the value of y,
draw a line up from the x - axis at 1910,
all the way up to cross the blue line;
then, draw a horizontal line from the point where the recent line meets the blue one.
Now read of the value you get for y.
Hope this helps!
30 POINTS TO WHO EVER ANSWER THIS QUESTION!!!!
Translate each sentence into an equation.
1. One fourth of m minus six is equal to two times the sum of m and 9.
4. MARBLES Drew has 50 red, green, and blue marbles. He has six more red marbles than blue marbles
and four fewer green marbles than blue marbles. Write and solve an equation to determine how many blue
marbles Drew has.
One fourth of m minus six is equal to two times the sum of m and 9:
[tex]\dfrac{1}{4}m -6=2(m+9)[/tex]This is self-explanatory, please comment if something is unclear.
Question 2Drew has 50 marbles; red, green and blue.
Equation for this:
r + g + b = 50He has six more red marbles than blue marbles:
Equation for this:
r = b + 6He has four fewer green marbles than blue marbles:
Equation for this:
g = b - 4Substitute r and g into first equation and solve for b:
r + g + b = 50b + 6 + b - 4 + b = 503b + 2 = 503b = 48b = 48/3b = 16Drew has 16 blue marbles.
Miranda and cyndi start hiking from the same point. miranda hikes at a heading of , or due west, and cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?
They are both 6.9 miles apart after one hour if they both hike 4 miles/hour
The correct option is (B)
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
According to the given information:Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°
From the isosceles triangle:h = 4sin30
h = 4(1/2)
h = 2 miles
From Pythagoras theorem:x² = 4² - h² = 4² - 2²
x = √12
x = 3.46 miles
Total distance = 2×3.46 = 6.9 miles
Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.
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I understand that the question you are looking for :
Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?
A) 4.3 miles. .
B) 6.9 miles
C) 8.0 miles
D) 5.7 miles
How many 5-letter words can be made using exactly 5 of the letters from
TEXAS and MEXICO? Letters may only be used as many times as they appear. (For
example, XETEX is allowed. However, MATEA is not allowed, since the A appears twice
in MATEA but only once in the given words.)
The total number of ways by words are formed is 35 ways.
According to the statement
We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.
And we have to find the possible ways.
So, The given words are:
TEXAS and MEXICO
Here X = 2 and E = 2 and all other words are one time used words.
We can find possible ways by use of combination and permutation.
So,
Total number of ways = [tex]3C_{1} ^{5} + 2C_{2} ^{5}[/tex]
here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.
So,
Total number of ways = [tex]3C_{1} ^{5} + 2C_{2} ^{5}[/tex]
Total number of ways = [tex]3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )[/tex]
Total number of ways = [tex]3(5) + 2(10)[/tex]
Total number of ways = 15 + 20
Total number of ways = 35.
So, The total number of ways by letters are formed is 35 ways.
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which expression is simplified form of 24/27
Answer:
8/9
Step-by-step explanation:
I'm pretty sure it's that
The answer is 8/9.
First, find the HCF of 24 and 27.
24 = 8 x 327 = 9 x 3Hence, the HCF of the numbers is 3.
Then, divide both sides of the fraction by 3.
(24/3)/(27/3)8/9Hey I'm sunny, and i request someone's help (please)
1. Value of b (b - 4.21 = 87.654)
2. Divide: 1.86 and 8.4
3: Compare: 1.92
that's it
Bye! - SunnyBunny <3
The computation shows that the value of b will be 91.864.
How to illustrate the information?From the information given, we are told to find the value of b (b - 4.21 = 87.654). This will be:
b - 4.21 = 87.654
b = 87.654 + 4.21
b = 91.864
Also. dividing 1.86 and 8.4 will be:
= 1.86/8.4
= 0.2213
Therefore, the values are 91.864 and 0.2213.
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please help me, i will give brainliest!! help me please
The answers are :
10) 25 : 24
11) 24 : 5
12) 36 : 5
13) 7 : 3
14) 15 : 1
Ratio = Number of event 1 : Number of event 2 (in same unit, if necessary)
10
Girls preferring orange juice : Boys preferring orange juice
50 : 48 (Divide by 2 on both sides)
25 : 24
11
Boys preferring orange juice : Boys preferring grapefruit juice
48 : 10 (Divide by 2 on both sides)
24 : 5
Remember :
1 minute = 60 seconds1 week = 7 days1 hour = 60 minutes12
3 minutes : 25 seconds
3 × 60 : 25 (Divide by 5 on both sides)
3 × 12 : 5
36 : 5
13
2 weeks : 6 days
2 × 7 : 6 (Divide by 2 on both sides)
7 : 3
14
5 hours : 20 minutes
5 × 60 : 20 (Divide by 20 on both sides)
5 × 3 : 1
15 : 1
