Khaled and Wilma were asked to find an explicit formula for the sequence 1, 3, 9, 27. Khaled said the formula is f(n)=1*3^n-1 and Wilma said the formula is f(n)=1*3^n. Which one of them is right?
ANSWER
[tex]f(n) = 1 \times ( {3}^{n - 1} )[/tex]
EXPLANATION
The given sequence is 1, 3, 9, 27...
The first term of this sequence is
[tex]a = 1[/tex]
The common ratio is
[tex]r = \frac{3}{1} = \frac{9}{3} = \frac{27}{9} = 3[/tex]
The explicit formula for this geometric sequence is
[tex]f(n) = a ( {r}^{n - 1} )[/tex]
We substitute the first term and the common ratio to obtain,
[tex]f(n) = 1 ( {3}^{n - 1} )[/tex]
Answer:
khaled is correct. f(n)=1x3^n-1
Step-by-step explanation:
Bobby-Joe takes a 25-question test for which he receives 4 points for each correct answer and loses 1 point for each wrong answer. If Bobby-Joe answers all the questions and gets a passing grade of 65%, how many questions did he get right?
Answer:
Let x be the number of questions he gets right. Let y be the number of questions he gets wrong.
Then:
x + y = 25
4x - 1y = 65
Adding these two equations gives:
5x = 90
x = 90/5 = 18 right answersy = 25 - 18 = 7 wrong answers
* Hopefully this helps:) Mark me the brainliest:)!!!
~ 234483279c20~
The number of right questions is 18
How to determine the right question?Let the number of right questions be x, and the wrong questions be y
So, we have the following equations
x + y = 25
4x - y = 65
Add both equations
5x =90
Divide both sides by 5
x = 18
Hence, the number of right questions is 18
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Which is the equation of the given line?
x = -7y
x = 7
y = -7x
y = -7
Answer:
x= -7y
Step-by-step explanation:
Your answer would be x= -7y. Hope this helps!!
This equation represents the given horizontal line is y = - 7. the correct option is d.
To find the equation of the line passing through the points (-10, -7) and (3, -7), we can use the point-slope form of a linear equation:
The point-slope form is given by: y - y₁ = m(x - x₁)
where (x₁, y₁) are the coordinates of one of the points on the line, and m is the slope of the line.
First, let's calculate the slope (m) using the two points:
m = (change in y) / (change in x)
m = (-7 - (-7)) / (3 - (-10))
m = 0 / 13
m = 0
Now, we have the slope (m = 0), and we can choose either of the given points to plug into the equation. Let's use the point (-10, -7):
y - (-7) = 0(x - (-10))
y + 7 = 0
Now, we can simplify the equation:
y = -7
So, the equation of the line passing through the points (-10, -7) and (3, -7) is y = -7. This equation represents a horizontal line at y = -7, as the slope is 0.
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An olympian swam the 200-meter freestyle at a speed of 1.8 meters per second. An olympic runner ran the 200-meter dash in 21.3 seconds. How much faster was the runner’s speed than the swimmer’s speed to the nearest tenth of a meter per second?
Answer:
7.6m/s
Step-by-step explanation:
Find the time the Olympian swam
Speed=distance/time ⇒⇒Time=distance/speed
Distance=200m , speed= 1.8m/s t= 200/1.8 = 111.11 seconds
Find the speed of the Olympic runner
Distance=200m time = 21.3 sec
s=200/21.3 = 9.4 m/s
Difference in speed= 9.4-1.8= 7.6m/s
Answer:
7.6 m/s faster
Step-by-step explanation:
Speed of swimmer = 1.8 meters per second
The distance covered by runner = 200
Time of runner = 21.3 sec
We have to find the speed of the runner first so that we can compare with the speed of swimmer.
Speed = Distance/Time
=> 200/21.3
=> 9.4 m/s
So we have to find the difference between both speeds
Difference = 9.4 - 1.8
=> 7.6 m/s
So the runner was 7.6 m/s faster..
HELP ME! DUE IN 5 MINUTES!
A group has an equal number of adults and children. When n oranges are given to the group, each adult gets two oranges while each child gets one orange and there are still 5 oranges left. Write an algebraic expression for the number of oranges given to the adults.
Answer:
Adults are given =
2n oranges
2n+n=once given
so
Step-by-step explanation:
The algebraic expression for the number of oranges given to adults in a group with an equal number of adults and children, with a specified distribution of oranges and a remainder, is 2A, where A represents the number of adults (or children, since they are equal).
Explanation:The question requires us to find an algebraic expression for the number of oranges given to the adults in a group where there are an equal number of adults and children, and a specific distribution of oranges to adults and children with a remainder.
Let's denote the number of adults by A, and thus, the number of children will also be A since the group has an equal number of adults and children. If n oranges are distributed, and each adult receives 2 oranges, then the total number of oranges given to adults is 2A. Each child receives one orange, so the number of oranges given to children is A. Including the 5 oranges that are left, the equation representing the total number of oranges is: 2A (for adults) + A (for children) + 5 (leftover) = n (total oranges).
From this equation, if you want to isolate the expression that represents the number of oranges given to adults, it is simply 2A.
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name a parallelogram that is neither a square, rhombus nor rectangle
With all due thinking...
I think a Diamond shape will befit your answer. So; The real answer is "Rhomboid"
The reason is that...
A rhomboid has four parallel sides. The opposite sides are equal, but the corners do not form right angles. Think of a rectangle that is slanted(a.k.a diamond) Thats what a Rhomboid is...
A parallelogram that dosent have equal sides is not a rhombus; and which dosent have Right angles are not rectangles and hence cannot be aquares either.
So in all Way a Rhomboid will mark the answer for your question.
Hope it helps..
Regards,
Leukonov/Olegion.
Answer;
TRAPEZOID
Step-by-step explanation:
3/8(2x-8/3x)=21 solve the equation for x
Answer:
[tex]\boxed{\bold{x=-84}}[/tex]
Explanation:
Multiply Both Sides By 8:
= [tex]\bold{8\cdot \frac{3}{8}\left(2x-\frac{8}{3}x\right)=21\cdot \:8}[/tex]
Simplify:
= [tex]\bold{-2x=168}[/tex]
Divide Both Sides By -2:
= [tex]\bold{\frac{-2x}{-2}=\frac{168}{-2}}[/tex]
Simplify:
= [tex]\bold{x=-84}[/tex]
//Mordancy //.
X= -84 this would be your answer also use photomath :)
How can you tell whether or not a question is a statistical question?
A statistical question is one for which you don't expect to get a single answer. Instead, you expect to get a variety of different answers, and you are interested in the distribution and tendency of those answers. For example, "How tall are you?" is not a statistical question. But "How tall are the students in your school?" is a statistical question.
Which point is located at (4,-5)?
1. A
2. B
3. C
4. D
Answer:
it is C
Step-by-step explanation:
2 Points
What is the point-slope form of a line with slope -5 that contains the point
(2,-1)?
O
O
O
O
A. y + 1 = -5(x - 2)
B. y-1 = 5(x + 2)
c. y- 1 = -5(x - 2)
D. y + 1 = 5(x + 2)
SUBMI
Answer:
A
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 5 and (a, b) = (2, - 1), so
y - (- 1) = - 5(x - 2), that is
y + 1 = - 5(x - 2) → A
The point-slope form of a line with slope -5 that contains the point
(2,-1) is,
⇒ y + 1 = - 5 (x - 2)
Since, The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Here, Given that;
Slope = - 5
Point on line = (2, - 1)
Hence, The point-slope form of a line with slope -5 that contains the point
(2,-1) is,
⇒ y - y₁ = m (x - x₁)
⇒ y - (- 1) = - 5 (x - 2)
⇒ y + 1 = - 5x + 10
⇒ y =- 5x + 10 - 1
⇒ y = - 5x + 9
Thus, The point-slope form of a line with slope -5 that contains the point
(2,-1) is,
⇒ y + 1 = - 5 (x - 2)
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What is the solution to the equation 3/5(x+4/3) = 1.04
1. 3.0666
2. 0.4
3. -0.4888
4. -.0709333
Answer:
2. 0.4
Step-by-step explanation:
Solve for "x" by simplifying both sides of the equation, then isolating the variable.
The solution of the equation is x = 0.4.
What is an Equivalent Expression?The expression where equivalent result is produced by the both sides of the expression.It is used to solve many critical mathematical problems.
Given: Equation
[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]
Now, we have to solve for x.
[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]
Multiplying both sides by 5, we get:
⇒ 3(x + 4/3) = 1.04 × 5
⇒ 3x + 4 = 5.2
⇒ 3x = 5.2 - 4
⇒ 3x = 1.2
Dividing both sides by 3, we get:
⇒ x = 0.4
Therefore, the solution of the given equation is x = 0.4.
Hence, option (2) is correct.
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Mathematics probability
Do you have a specific question or something like that which you need answering?
PLS HELP I'LL GIVE BRAINLIEST
Answer:
$5,000
Step-by-step explanation:
Create a proportion:
11/100 = 550/x
100(550)/11
5,000= x
You have to form a proportion: [tex]\frac{part}{whole}[/tex]
Meals are only 11% for the vacation budget. This means that meals would go over 100% like this:
[tex]\frac{11}{100}[/tex]
You also know that you have $550 for meal (your part) but you want to know what your total vacation budget is(your whole)[tex]\frac{x}{550}[/tex] (x), so you would set it up like this
Now you sent them equal to solve for x:
[tex]\frac{11}{100} = [tex]\frac{550}{x}[/tex]
cross multiply:
11x = 55,000
x = 5,000
This means that your total vacation budget is $5,000
Hope this helped!
Lisa bought a tank for her hermit crab. The tank can hold 1,331 cubic inches of water and includes a top. The base fo the aquarium is a square. The height of the aquarium is 11 inches. a. What is the length of each side of the base of the tank
Answer:
11 in
Step-by-step explanation:
All we care about here is volume, not area. So the top is irrelevant.
The volume of a rectangular tank with a square bottom, b, and height, h, is
V = b²h = 1,331 in³ 1,331 in³
Then b² = area of the base = ---------------- = 121 in²
11 in
The square of the length of any one side of the base is 121 in².
Taking the square root of this yields 11 in.
The length of each side of the base is 11 in.
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
y = x +
3y = –4x + 40
4x + y = 21
4x + 3y = 5
–4x + 3y = 17
Answer:
3y+4x=5
Step-by-step explanation:
step 1
Find the slope
we have
(–7, 11) and (8, –9)
m=(-9-11)/(8+7)
m=-20/15
m=-4/3
step 2
Find the equation of the line into point slope form
we have
m=-4/3
point (-7,11)
substitute
y-11=-(4/3)(x+7) ----> equation of the line into point slope form
Multiply by 3 both sides
3y-33=-4(x+7)
3y-33=-4x-28
3y+4x=33-28
3y+4x=5 -----> equation of the line into standard form
Answer:
The first and 4th option
Step-by-step explanation:
Just took it on edge
A customer wants you to enlarge a photo to 2 3/4 its current height. The photo’s current height is 3 1/4 inches. What should its enlarged height be, in inches?
Answer:
8 15/16 inches
Step-by-step explanation:
Multiply 3 1/4 inches by 2 3/4:
13 11
---- * ----- = 146/16 inches, or 8.9375 inches, or 8 15/16 inches.
4 4
Answer: The required enlarged height of the photo is [tex]8\dfrac{15}{16}~\textup{inches}.[/tex]
Step-by-step explanation: Given that a customer wants you to enlarge a photo to [tex]2\dfrac{3}{4}[/tex] its current height and the photo’s current height is [tex]3\dfrac{1}{4}[/tex] inches.
We are to find the enlarged height of the photo in inches.
The enlarged height of the photo is given by
[tex]2\dfrac{3}{4}\times \textup{current height of the photo}\\\\\\=\dfrac{11}{4}\times3\dfrac{1}{4}\\\\\\=\dfrac{11}{4}\times\dfrac{13}{4}\\\\\\=\dfrac{143}{16}\\\\=8\dfrac{15}{16}.[/tex]
Thus, the required enlarged height of the photo is [tex]8\dfrac{15}{16}~\textup{inches}.[/tex]
need help asap!!!!! thank you!!
Answer:
1,2,20
take away 14 from 8 = 6
add 6 to 14 = 20
Hope I helped!
NOTE: MARK BRAINLIEST!!!! plz....
Answer:
8,4
14,7
6,3
Step-by-step explanation:
3 pizzas are shared equally between 10 people. What fraction of a pizza does each person receive?
Show your work, please!
Answer:
3/10 fraction of a pizza is received by each person.
Step-by-step explanation:
3 pizzas are shared among 10 people. We need to find the fraction of pizza each person receive.
No of pizzas = 3
Total People sharing = 10
Each person receive pizza = No of pizzas/ Total People sharing
= 3/10
3/10 fraction of a pizza is received by each person.
Answer:
dang
Step-by-step explanation:
2 years ago
Brian makes a 5,000 down payment on a car if he needs to pay $300 a month for the next 48 months how much will he pay for the car
Answer:
car cost 19400
Step-by-step explanation:
y = 5000 + 300*m where m is the number of months.
m = 48
y = 5000 + 300*48
y = 5000 + 14400
y = 19400
The cost of the car is 19400
Answer:
14,400 because if you multiply 300 and 48 because thats what he has to pay for the car and how long he has making that same payment
Then you add 5000 for the total payment because thats the car paid in full
* Therefor, the answer is 14,400
* Hopefully this helps:) Mark me the brainliest:)!!!
find the distance between A(2,3,5) and B(6,7,-2)
(pictures of the answer above)
Answer:
I think it's B (Sorry if im wrong)
!!!!!PLEASE HELP!!!!
Find (f/g)(x) for: f(x)=(x+16)/x; g(x)=(2x)/(x+4)
Answer:
Step-by-step explanation:
All you have to do here is to divide polynomial f(x) = (x + 16)/x by polynomial g(x) = 2x / (x + 4), simplify the result and label the quotient properly. Recall that division by a fraction involves inverting the divisor fraction and then multiplying.
(x + 16) (x + 4) (x + 16)(x + 4)
(f/g)(x) = ------------- * ----------- = --------------------
x 2x 2x^2
Note that this quotient is true for all x except x = 0.
Mrs. Piper is driving Anna, Jo, and Mai home from school. All of them want to ride in the front seat. How can she make a fair decision about who rides in the front seat?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The question is on probability
We have three students, Anna, Jo and Mai
We have 1 seat at the front
P(S)=3
P(A)=1/3
P(J)=1/3
P(M)=1/3
What is the value of x?
Answer:
do you have any more information to solve this ?????????
Step-by-step explanation:
what is the actual equation it goes with??
A tessellation is an arrangement of repeating shapes that have what
characteristic?
Answer:
Option B is correct, (no spaces or overlaps exist between it's pieces).- APEX
Step-by-step explanation:
I hope this helps.
Answer: No spaces or overlaps exist between its pieces.
What is (u+2ax)(2u+2ax)
Answer:
2u^2 +6aux+4ax
Step-by-step explanation:
2u^2 because u×2u
2aux cuz u× 2ax
4aux cuz 2ax×2u
4ax. cuz 2ax time 2ax
The multiplication of the binomials (u+2ax)(2u+2ax) can be solved using the FOIL method. The steps result in 2u^2 + 2uax + 4uax + 4a^2x^2. Combining like terms yields the final answer: 2u^2 + 6uax + 4a^2x^2.
Explanation:The problem (u+2ax)(2u+2ax) is a mathematical multiplication of two binomial expressions. You may solve it by applying the distributive property, also known as the FOIL method (First, Outer, Inner, Last). Let's walk through the steps to solve it:
First: Multiply the first terms in each binomial. u * 2u = 2u^2. Outer: Multiply the outer terms, which are u and 2ax. u * 2ax = 2uax. Inner: Multiply the inner terms, which are 2ax and 2u. 2ax * 2u = 4uax. Last: Multiply the last terms of each binomial. 2ax * 2ax = 4a^2x^2.Then, add these results together: 2u^2 + 2uax + 4uax + 4a^2x^2. Combine like terms to get the final answer: 2u^2 + 6uax + 4a^2x^2.
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I am trying to find the next number in this number sequence and I dont know how! its like this, 2,9,37,149,597,2389, ... whats the next number?
[tex]\bf 2~~,~~\stackrel{2(4)+1}{9}~~,~~\stackrel{9(4)+1}{37}~~,~~\stackrel{37(4)+1}{149}~~,~~\stackrel{149(4)+1}{597}~~,~~\stackrel{597(4)+1}{2389}~~,~~\boxed{\stackrel{2389(4)+1}{9557}}[/tex]
help me plz and god bless :/
Upper quartile would be 4.5. The interquartile range could be 6.
Would appreciate the help.
Answer:
[tex]x^{2}+(y+2)^{2}=9[/tex]
Step-by-step explanation:
The center of the circle is (0, -2). The dark-filled circle is the center and lies 2 units below the origin on the y-axis.
On the other hand, the radius of the circle is 3 units. If we count from the dark-filled circle, we have 3 complete squares to the left, to the right.
Now the standard equation of a circle with center (a, b) and radius r units is given by the formula;
[tex](x-a)^{2}+(y-b)^{2}=r^{2}[/tex]
Substituting the values obtained;
[tex]x^{2}+(y+2)^{2}=9[/tex]
and is our standard equation of the given circle
I could probably figure this out but I have way too much homework so It'd be nice to finish this pathway.
Yeah that's right always be a hardworking person
A
D
Given: _1= _2
If AC = 3, BC =5, and AB= 7, find AD
Using proportional relationships in similar triangles ABC and AED, the length of AD is calculated to be approximately 11.67.
Explanation:In order to calculate the length of AD, we should first understand that given ΔABC is similar to ΔAED, and given lengths AC = 3, BC = 5, and AB = 7, the scale factor of ABC to AED is based on any of the corresponding dimensions. Here, _1 corresponds to BC(_2) in terms of proportions. Therefore _1(BC)/_1(AC) = _2(BD)/_2(AD). As we know the values of BC and AC, the equation becomes 5/3 = AD/7. Solving this for AD, we get AD = (7 * 5) / 3 = 35/3 = approx 11.67.
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