Answer:
10004
Step-by-step explanation:
The probability that Lara will win the boys’ 100 m race is 4/7 and the probability that Dhiya will win the girls’ 100 m race is 3/7 . What is the probability that (i) Both of them will win their events
Answer:
Step-by-step explanation:
P(both) = 4/7 * 3/7 = 12 / 49
In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?
A. Find the 4th term when the first term is 7 and the common difference is -2.
B.Find the 7th term when the first term is -1 and the common difference is 10.
C.Find the 106th term when the first term is 2 and the common difference is 5.
D.Find the 11th term when the first term is -3 and the common difference is 4.
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Answer:
all of them, possibly excepting the 4th term
Step-by-step explanation:
The recursive formula is good if you have terms near the one of interest. It might be used for the 4th term, but that would require that you compute the three previous terms:
7, 5, 3, 1 . . . . requires 3 subtractions
It can be about as easy to calculate ...
a4 = 7 -2(3) = 1 . . . . requires two* subtractions and a multiplication
__
However, for the 7th, 11th, and 106th terms, it is impractical to list all previous terms. The explicit formula is a better choice.
A. a4 = 7 -2(3) = 1
B. a7 = -1 +10(6) = 59
C. a106 = 2 +5(105) = 527
D. a11 = -3 +4(10) = 37
_____
* The explicit formula is ...
an = a1 +d(n -1)
The operations identified in this formula (in the order required by the Order of Operations) are subtraction, multiplication, and addition. For a negative common difference, that amounts to two subtractions and a multiplication.
For manual evaluation, the work involved in using the recursive or explicit formulas for the 4th term is about the same, if the arithmetic is easily done mentally (as here).
Please help!!!
Which statements are true about the ordered pair
(2, 3)
and the system of equations?
3x + 4y = 18
2x - 2) = 2
Select each correct answer.
When
(2, 3) is substituted into the second equation, the equation is true.
The ordered pair (2, 3) is not a solution to the system of linear equations.
When (2, 3) is substituted into the first equation, the equation is false.
The ordered pair (2, 3) is a solution to the system of linear equations.
(2, 3) is substituted into the first equation, the kuation is true.
When (2, 3) is substituted into the second equation, the equation is false.
When
Answer:
63.0985
Step-by-step explanation:
Line A: y = 1 2 x + 2 Line B: y = − 1 2 x + 7 Line C: y = −2x + 4 Line D: y = 1 2 x + 5 4 Which lines are perpendicular? A) A and B B) A and C C) B and C D) A and D
Answer:
Check the explanation.
Step-by-step explanation:
The slope-intercept form of the equation is
[tex]y=mx + b[/tex]
where m is the slopeb is the y-interceptLine A:
[tex]y = 1 2 x + 2[/tex]
The slope of line A:
[tex]m_A=12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line B:
[tex]y = -1 2 x + 7[/tex]
[tex]m_B=-12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line C:
[tex]y = -2x + 4[/tex]
[tex]m_C=-2[/tex] ∵ comparing with [tex]y=mx + b[/tex]
Line D:
[tex]y = 12x + 5 4[/tex]
[tex]m_D=12[/tex] ∵ comparing with [tex]y=mx + b[/tex]
As we know that the product of the slopes of perpendicular lines is -1.
i.e. their slopes are opposite of the reciprocal of each other.
Now, let us check the OPTIONS:
Option A) A and B
Check:
[tex]m_A=12[/tex]
[tex]m_B=-12[/tex]
As the product of the slopes A and B is NOT -1, so the lines A and B are not perpendicular. Hence, option A is NOT true.
Option B) A and C
[tex]m_A=12[/tex]
[tex]m_C=-2[/tex]
As the product of the slopes A and C is NOT -1, so the lines A and C are not perpendicular. Hence, option B is NOT true.
Option C) B and C
[tex]m_B=-12[/tex]
[tex]m_C=-2[/tex]
As the product of the slopes B and C is NOT -1, so the lines B and C are not perpendicular. Hence, option C is NOT true.
Option D) A and D
[tex]m_A=12[/tex]
[tex]m_D=12[/tex]
As the product of the slopes A and D is NOT -1, so the lines A and D are not perpendicular. Hence, option D is NOT true.
Therefore, NO OPTION is correct.
Which of the following is a true statement?
9/12 • 12/9 = 0
3/10 ÷ 7/9 = 3/10 • 9/7
4/5 • 4/5 = 1
1/2 ÷ 1/2 = 1/4
Answer:
3/10 ÷ 7/9 = 3/10 • 9/7
Step-by-step explanation:
KCF for division.
7/9= 9/7
÷=x
Answer:
3/10 ÷ 7/9 = 3/10 * 9/7
Step-by-step explanation:
Evaluate both sides you get 27/70 = 27/70
3/10 * 9/7 = 27/70
3/10 * 9/7 = 27/70
X-3y=9 into a slope intercept form
Answer:
y=1/3x-3
Step-by-step explanation:
Slope intercept form is: y=mx+b
so you need to leave y on one side and the others on the other side:
First, you need to move the x to the other side by subtracting x on both sides:
x-x-3y=-x+9
Simplify:
-3y=-x+9
Now you divide -3 on both sides to eliminate the -3 on -3y:
y=1/3x-3
Hope this helps!
What is the value of the expression below?
3.5 x 3 over 10
Answer:
1.05 or 21/20 or 1 1/20
Step-by-step explanation:
I'm just a genius
BLAHHH ANSWER PLEASEEE TYYYYYYYYYY
Answer:
is c
Step-by-step explanation: because its answer for the line
Courtney is twice as old as Andre and three years older than Natalie. Courtney is half Shari's age. The difference between Shari's age and Natalie's age is the same as the sum of Courtney's age and Andre's age. The equation below represents their ages.
The question does not seem complete, but I'll represent the statement mathematically and look for their ages each. This is because the worst they can ask for is their ages.
Let C stand for Courtney's age, A for Andrei's age, N for Natalie's age and S for Shari's age. From the question we can deduce the following:
C = 2A
C = N + 3
C = S/2
S - N = C + A
S = 2C, N = C - 3 and A = C/2, therefore we have
2C - (C - 3) = C + C/2
C + 3 = C + C/2
C/2 = 3 and C = 6
A = C/2
A= 6/2
A = 3
N = C - 3
N = 6 - 3
N = 3
S = 2C
S = 2 x 6
S = 12.
C = 6, A = 3, N = 3 and S = 12
In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.
Answer:
The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).
ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])
iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])
iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
if f(x) = 245
Find f^-1(x) (the inverse)
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Answer:
does not exist
Step-by-step explanation:
The notation f^-1(x) usually refers to the inverse function. That is, if we have the functional relation
y = f(x)
Then the inverse function f^-1(x) will give you ...
x = f^-1(y)
__
In order for an inverse function to exist, the original function must pass the "horizontal line test." That is, any horizontal line can intersect the function's graph in, at most, one point.
Here, the function f(x) = 245 is a horizontal line, so the horizontal line test fails. The horizontal line at y=245 will intersect f(x) in an infinite number of points.
So, f(x) = 245 does not have an inverse function. f^-1(x) does not exist.
_____
Alternate interpretation of the question
Sometimes, an exponent is applied to a function name when the intended operation is application of the exponent to the function value. For example, you may see sin²(x) when the intended meaning is sin(x)². The application of an exponent to the function name could be confused with multiple applications of the function: sin²(x) = sin(sin(x)), as the notation is sometimes used for this purpose, too.
If what you intend by f^-1(x) is really f(x)^-1, then you can say ...
f(x)^-1 = 1/245
Given An = 5a(n-1) where a1= 2. What are the first 4 terms
Answer:
2, 10, 50, 250
Step-by-step explanation:
Using the formula with a₁ = 2 , then
a₂ = 5a₁ = 5 × 2 = 10
a₃ = 5a₂ = 5 × 10 = 50
a₄ = 5a₃ = 5 × 50 = 250
The first 4 terms are 2, 10, 50, 250
Wright a paragraph to prove that the measure of angle 1 is equal to the measure of angle 3?
Person who helps will get brainliest comment.
Answer:
Hey,Nothing is there.
Step-by-step explanation:
20 points!!
Find the equation of the trend line (line of best fit). Show your work.
Answer:
so, i found two points that are on the graph.
(50, 100) (100, 200)
Step-by-step explanation:
then u fraction them (rise over run) 100/50 200/100 and simplify 2/1 thats ur slope or "m" then im pretty sure u put it in a y=mx+b so y= 1/2x+0
Is this correct if not what’s the answer
Answer:
They are congruent by SSS.
Step-by-step explanation:
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Answer:
≅reflexiveQRcongruentStep-by-step explanation:
A geometrical object is congruent to itself by the reflexive property of congruence.
RT ≅ RT by the reflexive property
__
Your other choices are correct.
Which of the following objects is considered to be two-dimensional because
it has length and width only?
A. Sphere
B. Rectangle
C. Ray
D. Point
A submarine is at a depth of 30m. It descends another 20m and then rises
40m. What is its final depth?
the answer is 10m deep after rising
does a vertical line have zero slope?
Answer:
he slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
Answer: yes it’s undefined
Step-by-step explanation:
name the line of intersection of planes of GABH and FEHG
Answer: line HG
Step-by-step explanation:
The line which is intersecting the planes of GABH and FEHG will be line GH.
What is a geometrical figure?A collection of continuous, non-empty points that together form inextensible, non-deformable shapes are known as geometric figures.
A figure or region with a defined border that is formed by combining a specific number of curves, points, and lines is referred to as a geometric shape.
Another meaning of the geometrical figure is the figure which is in 2D and becomes by intersections of lines.
Given two plans GABH and FEHG
It is clearly visible that both plans are intersecting and separated by a line GH.
To learn more about the geometrical figure,
https://brainly.com/question/2778048
#SPJ2
Shaq invested $900 into a savings account that pays annual simple interest. At the end of 9 years, he earned $461.70 in interest. What is the interest rate on the savings account? Round to the nearest tenth of a percent.
Answer:
0.051
Step-by-step explanation:
Grant finds the difference of 360 and 127 as shown. What is Grant's
mistake?
Grant should have subtracted the ones first and
the hundreds last.
Grant did not regroup the 2 hundreds when he
subtracted 7.
360
- 100
260
20
240
7
243
Grant should have subtracted 120 instead of 20.
Grant did not regroup the 4 tens when he
subtracted 7
Done
Hey
Answer:
D. Grant did not regroup the 4 tens when he subtracted 7.
Step-by-step explanation:
In the process of subtraction, regrouping is important so that each digit in the given numbers are placed appropriately before the required arithmetic operation is performed.
The correct step to Grant's solution are:
360 - 100 = 260
260 - 20 = 240
240 - 7 = 233
Grant's final answer ought to have been 233.
Going through his solution, he made a mistake while subtracting 7 from 240. He failed to regroup the 4 tens when he subtracted 7 from 240. Thus the essence of his wrong answer.
Write the equation of the line that represents the given situation
Answer:
C
Step-by-step explanation:
If there was already 5 dollars in the piggy bank, that would mean to just add 5. And since x equals number of weeks, you would want to divide that number by 1/4 because she only puts 1 dollar in every 4 weeks.
If (m+n)^2=m^2+n^2, what is (3^m)^n?
Answer:
[tex](3^m)^n=1[/tex]
Step-by-step explanation:
[tex](m+n)^2=m^2+n^2\\m^2+2mn+n^2=m^2+n^2\\(m^2+n^2)-(m^2+n^2)+2mn=0\\2mn=0\\This\ equation\ has\ two\ solutions\ : m=0,n=0\\\\But\ either\ way\ will\ result\ in\ the\ same\ answer.\\If\ m=0\ then,\\(3^0)^n\\=1^n\\=1\\\\If\ n=0 \ then,\\(3^m)^0\\=1[/tex]
Please help I have no idea what the answer is
Answer:
x= 35 degrees
Step-by-step explanation:
The sum of the angles in a triangle are 180 degrees.
102+43=145
180-145=35
Answer:
35
Step-by-step explanation:
Remember
a triangles angles must sum up to 180 for it to be identified as a triangle.
no more no less
So add the other angles up and subtract from 180 to find your answer which is 35 :)
What is the slope of the line below
Answer:-1/2
Step-by-step explanation:
Look at the points
In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?
Answer:
.51
Step-by-step explanation:
Answer:
33/65
Step-by-step explanation:
by 8:00 a.m., the snack bar had made $3,256 in sales. By noon, the snack bar's total sales were $8,821. On average how much money did the snack bar take in each hour between 8:00 a.m. and noon?
Answer:
$1,391.25
Step-by-step explanation:
Noon would be 12:00 PM which would be 4 hours ahead of 8:00 AM
We subtract $8,821 by $3,256 to get the amount earned between 8:00 AM and 12:00 PM
$8,821 - $3,256
= $5,565
The find the average taken in within those 4 hours we will have to divide the money earned by the hours
$5,565/4
= $1,391.25
8.4n p when n= 2 and p = 4
Write a system of equations with the solution of (4,2,0)
Answer:
x=4, y=2, z=0
Step-by-step explanation:
The most symple is x=4, y=2, z=0 b/c the coordinate pairs equate to (x, y, z,)