Answer:
S = {-6.25, -7.813, -9.766, -12.207, -15.259 and -19.703}
Step-by-step explanation:
The first term (a₁) and the common ration (r) of a finite sequence are provided.
a₁ = -6.25
r = 1.25
The nth term of a geometric sequence is:
[tex]T_{n}=a_{1}\cdot r^{n-1}[/tex]
Compute the first six terms as follows:
[tex]T_{1}=a_{1}\cdot r^{1-1}=a_{1}=-6.25\\\\T_{2}=a_{1}\cdot r^{2-1}=-6.25\times 1.25=-7.8125\approx -7.813\\\\T_{3}=a_{1}\cdot r^{3-1}=-6.25\times (1.25)^{2}=-9.765625\approx -9.766\\\\T_{4}=a_{1}\cdot r^{4-1}=-6.25\times (1.25)^{3}=-12.20703\approx -12.207\\\\T_{5}=a_{1}\cdot r^{5-1}=-6.25\times (1.25)^{4}=-15.25879\approx -15.259\\\\T_{6}=a_{1}\cdot r^{6-1}=-6.25\times (1.25)^{5}=-19.07349\approx -19.073[/tex]
Thus, the six terms of a finite sequence are:
S = {-6.25, -7.813, -9.766, -12.207, -15.259 and -19.703}
Answer:
Last graph D
Step-by-step explanation:
One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?
Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
Pls help this is algebra 1 btw
please help me and hurry
Answer:
median: 90
mode: 91
mean: 84.2 or round it to 84
Step-by-step explanation:
Let me know if this helps! have a great day! :)
Answer:
a) Median = 91
b) mode = 91
c)Mean 84.2
Step-by-step explanation:
a) Median is the middle term. So, 6th term
Median = 91
b) Mode is the score which occurs more number of times
91 occurs 3 times
Mode = 91
c) Mean= sum of all data's/Number of data's
= 85 + 91 + 48 +98 + 99 /5
= 421/5
Mean = 84.2
The center section of a theater has 10 rows. There are 41 seats in row 10, 38 seats in row 9, 35 seats in row 8, and so on. How many seats are in row 1?
Answer:
14 seats in row 1.
Step-by-step explanation:
We must calculate how many seats there are for row 1, for that we are going to see the behavior that it takes from row 10 to 8, like this:
row 10 there are 41 and in row 9 there are 38, the difference would be:
41 - 38 = 3
now in row 9 there are 38 and in row 8 there are 35, therefore the difference would be:
38 - 35 = 3
Therefore, we can assume that each row less, there are 3 seats less, therefore:
41 - (10-r) * 3
where r would be the row, therefore if it is row 1 it would be:
41 - (10-1) * 3 = 14
Therefore there are 14 seats in row 1.
1 Point
Which of the following best describes a random event?
A. The number of doctor visits a person makes in a year
B. The winner of an election
C. The age at which a baby will get her first tooth
D. The age at which a person is legally allowed to drive in the state of
California
SEBNI
Answer: B
Step-by-step explanation:
Makes the most sense out of all the options because it’s the most random or unpredictable
the skateboard Rita would like to buy cost $6 less than three times the amount she has saved the skateboard cost $69 how much does Rita have to save?
Choose the steps that show how to solve this problem using arithmetic.
Answer: Rita has $25 saved.
Step-by-step explanation:
You could think about it this way: $69 is $6 less than 3 times the amount of money that she has. So, let's solve this:
1) First you would add $6 to the $69 that the skateboard costs because you need to know what her savings would be if she multiplied it by 3.
$69+$6=$75
2) Now that we know that if we tripled her savings, we would have $75. We can now find out how much she actually has saved up by dividing the total of $75 by 3.
$75÷3=$25
I hope this helped you with your question!
Answer:
she saved $25
Step-by-step explanation:
So I don’t really understand this so yeh pls help *pic included* by the way this is volume of cubes and cuboids and the questions are A2 and B2
Answer:
A2: 4*4*4 = 64 cm³; 6*6*6 = 216 cm³; etc...
B2: 7*4.5*4 = 126 cm³; 10.5*6*2 = 126 cm³; etc...
Step-by-step explanation:
So in A2 you have cubes, so l=b=h, and only one has to be given, called the "length of side".
In B2 they are different, hence there are 3 rows with l, b and h. But still you multiply them l x b x h
Find the y-intercept for the parabola defined by
this equation:
y=7x2 + 5x – 2
Separate the values with a comma.
Answer:
(0, -2)
Step-by-step explanation:
The y-int is where the graph crosses the y-axis when x = 0. The easiest and fastest way to do this problem is to graph the equation using a graphing calc and tracing the graph to find your value.
Answer:
Step-by-step explanation:
for y intercept x=0
thus y= -2
the point is (0,-2)
HELP PLEASE !!!2. Solve for x in the figure below. Show your work.
Answer:
×=19
Step-by-step explanation:
90-22=68
3x+11=68
68-11=57
3x=57
57÷3=19
x=19
Please explain , I'm confuse
Explanation:
W = (-2,3) is given
Point W ' is the result of reflecting point W over the x axis. We flip the sign of the y coordinate while keeping the x coordinate the same. So W ' = (-2, -3) as shown in the diagram below. The rule for reflecting over the x axis is [tex](x,y) \to (x,-y)[/tex]
Then reflecting over the y axis will have W ' = (-2, -3) become W '' = (2, -3). We flipped the x coordinate's sign this time. The rule for reflecting over the y axis is [tex](x,y) \to (-x,y)[/tex]
Going from W = (-2, 3) to W '' = (2, -3) is the rule [tex](x,y) \to (-x,-y)[/tex] which exactly describes a 180 degree rotation (either clockwise or counterclockwise).
This is one example showing how a composition of reflections results in a rotation. Note that you must have an even number of reflections to produce a rotation. One reflection reverses the orientation, so another reflection is needed to revert back to the original orientation (otherwise, a rotation is not possible as a rotation preserves orientation).
Answer:
(2, -3 )
Step-by-step explanation:
Where the y axis is left side we are asked to reflect -2 3 across into the 3rd quadrant. Then reflect across the y axis line into quadrant 4.
We see that x coordinate will stay -2, but change from -2, 3 to -2, -3 into quadrant 3 and then stay -3 but change to 2 , -3 into quadrant 4.
10a - 41=19 pls help!!!!!
Answer:
a = 6
Step-by-step explanation:
10a - 41 = 19
10a = 19 + 41
10a = 60
a = 60/10
a = 6
Answer:
a= 6
Step-by-step explanation:
10a - 41=19
+41 +41
10a = 60
÷10 ÷10
a= 6
The triangles ABC and XYZ are similar. Find the measure of X.
Answer:
37 degrees.
Step-by-step explanation:
No matter how much smaller or bigger the shape is, it is still similar to the other shape, meaning they will have different angle measurements, but the degrees will remain the same.
Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The triangles ABC and XYZ are similar.
Side AB is proportional to side XY
Side AC is proportional to side XZ
Since we know side AB and side XY are proportional to each other, sp there angles must be similar.
Angle A = Angle X
We know that in triangle ABC
Angle A + Angle B + Angle C = 180
Angle A + 90 + 37 = 180
Angle A = 53 degrees
Thus, Since Angle A is equal to Angle X. the measure of angle X will be 53 degrees.
Learn more about the triangles;
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Billy has three times as many llamas as lambs.
Milly has twice as many lambs as llamas.
They have 17 animals in total.
How many of the animals are llamas?
Answer:
There are 9 llamas.
Step-by-step explanation:
For Billy, we have to find a number that is divisible by four, because he has one group of lambs, and 3 times as many llamas, which gives us 4 groups altogether. The number must be below 10 in order to not go above 17 when Milly's number of animals are included, but above 4 itself in order to reach the target of 17 in the first place.
As you can guess, the only number that fits all the criteria is 8. It's divisible by 4 and below 10, but above 4 itself.
If Billy has three times as many llamas as lambs, then he must have 2 lambs, and 6 llamas, as 2 × 3 = 6.
If we know that Billy has 8 animals, then we also know that Milly must have 9 animals, as 17 - 8 = 9.
We also know that Milly has 3 groups of animals; one group of llamas, and two groups of lambs, meaning we divide the number of animals she has by 3.
9 ÷ 3 = 3.
This tells us Milly has just 3 llamas, because 3 is one group of 9, and 3 × 2 = 6, because she has twice the amount of lambs.
Billy has 2 lambs and 6 llamas.
Milly has 6 lambs and 3 llamas.
The amount of lambs is irrelevant to our final answer, so we can disregard them and do a final sum of 6 + 3 = 9, which gives us our answer.
Answer:
Billy: Has 4 lots of animals
Milly: Has 3 lots of animals
17 animals in total means that Billy must have 4 lots of 2 (8 animals) and Milly must have 3 lots of 3 (9 animals) So Billy has 6 llamas and Milly has 3, giving 9 llamas in total
All of the pairs of corresponding angles and sides in ΔCAT and ΔDOG are congruent. Based on this information, which of the following is a true statement? Question 20 options: A) There isn’t enough information to make a statement about ΔDOG and ΔCAT. B) ΔDOG has been dilated to form ΔCAT. C) ΔCAT is congruent to ΔDOG. D) ΔDOG has half the area of ΔCAT.
Answer: C) ΔCAT is congruent to ΔDOG
Step-by-step explanation:
If all the sides of two triangles are congruent, then the triangles are congruent.
Answer:
c. ΔCAT is congruent to ΔDOG
Step-by-step explanation:
Due to each the AAA (angle-angle-angle) and SSS (side-side-side) theorems, if all of the facets and/or angles of triangles are congruent, then the triangles are congruent.
please mark me brainliest!
Help ASAP
What is the equation of a line that is perpendicular to y= 3x-2 and passes through the point 6,8
Answer: y = 1/3x + 10
Step-by-step explanation:
Find the local maximum of the function f(x), which is given in the graph below.
Answer:
Local max is at (4, 3)
Step-by-step explanation:
Hope this helps!
From the given graph of a function, The Local maximum is at (4, 3).
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima.
If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.
From the given graph of a function,
The Local maximum is at (4, 3).
Learn more about maxima and minima of a function here:
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Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized,
Answer:
Option B.
Step-by-step explanation:
The given triangle is a right angle triangle.
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the given triangle,
[tex]\tan (30^{\circ})=\dfrac{n}{\sqrt{3}}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{n}{\sqrt{3}}[/tex]
[tex]1=n[/tex]
Using Pythagoras theorem, we get
[tex]hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]m^2=n^2+(\sqrt{3})^2[/tex]
[tex]m^2=1^2+3[/tex]
[tex]m^2=4[/tex]
Taking square root on both sides, we get
[tex]m=\sqrt{4}[/tex]
[tex]m=2[/tex]
Therefore, the correct option is B.
CAN SOMEONE PLEASE ANSWER THIS SOON! THANK YOU!
What is one-half of the reciprocal of 7/sqrt(98)? Express your answer in the form sqrt(a)/b where sqrt(a) is in simplest radical form.
We want to find one-half of the reciprocal of 7/sqrt(98). Let's write down an expression for this:
[tex]\dfrac{1}{2} \times \dfrac{\sqrt{98}}{7}[/tex]
We can rewrite 98 into [tex]2 \times 49[/tex]
[tex]\dfrac{1}{2} \times \dfrac{\sqrt{2 \times 49}}{7}[/tex]
[tex]=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times \sqrt{49}}{7}[/tex]
The square root of 49 is 7
[tex]=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times 7}{7}[/tex]
[tex]=\dfrac{1}{2} \times\sqrt{2}[/tex]
[tex]=\dfrac{\sqrt{2}}{2}[/tex]
This should be your answer. Let me know if you need any clarifications, thanks!
The required answer in the form of √a/b is √2 / 2.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
The given term is,
7 / √98
The one half of the reciprocal of the term 7 / √98 = 1/2 x √98/ 7
Solve the expression 1/2 x √98/ 7,
= 1/2 x (7 √2 / 7)
= 1/2 x (√2)
= √2 / 2.
The simplest of the given expression is √2 / 2.
To know more about Simplification on :
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helppppp me plz help
Answer:
c
Step-by-step explanation:
Select the cube number out of the following numbers: 10,100,1000,10000 A=10 B=100 C=1000 D=10000
Answer:
C. 1000
Step-by-step explanation:
10 is not a perfect cube.
100 is not a perfect cube, it is a perfect square.
1000 is a perfect cube.
10 × 10 × 10 = 1000
10000 is not a perfect cube.
Answer:
it says 10
Step-by-step explanation:
A decade is 10 years.
apparently
*PLEASE ANSWER TY* What is the area of minor sector DFE?
Answer:
x ≈ 34.88 square cm
Step-by-step explanation:
Solve by proportional formula:
Area of a sector/area of circle* = sector central arc measure/360
*area of a circle = πr²
x/(53.29π) = 75/360
x/53.29π = 0.2083
x = 11.1020833π
x = 34.8782233
x ≈ 34.88 square cm
Answer:
Other guy is right also i had it on my test x ≈ 34.88 square cm
Step-by-step explanation:
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5. Pls help ASAP btw, the answer isn't -12/19 or 12/19
Answer:
The found values are:
A = 1/3
B = -8/3
Step-by-step explanation:
We know that general equation is given by:
y = mx + c
where m is the slope and c is a constant.
x + 3y = -5
y = -(1/3)x - 1/3(5)
Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:
Ax + By = 3
By = -Ax - 3
By = (1/3)x - 3
Hence, A = 1/3
Substitute point (-7,2) into the equation:
B(2) = (1/3)(-7) -3
B(2) = -7/3 - 3
B(2) = -16/3
B = -16/6
B = -8/3
Factorise
(a + c)2- 62
AWARDING BRANLIEST FOR FIRST CORRECT ANSWER
Does this table represent a function? Why or why not?
Answers above
Answer:
No, because a x-value repeats.
Step-by-step explanation:
A function has x-values that correspond to exactly one y-value. In the given table, the number '5' appears twice as an x-value. This means that the relation is not a function, "because one x-value corresponds to two different y-values."
Answer:
No, because one x-value corrisponds to two different values.
Step-by-step explanation:
The side of the table with x has 2 of the same values
5 CANNOT equal BOTH 2 and 5.
HOPE this helps!!
Help me find area guys please!!!!
Answer:
you would multiply length times width witch would be 12in by 30in 360
What is the equation of the line that passes through the point (-2,14) and is perpendicular to the line with the following equation?
y = -x-1
OA
y =
OB
y =
- + 9
o + 16
1 - 12
Oc.
y =
OD.
y =
+ 19
Answer:
y = x + 16
Step-by-step explanation:
Step 1: Find slope of perpendicular line
Take the negative reciprocal of the 1st line
m = 1
Step 2: Find b
y = x + b
14 = -2 + b
b = 16
Step 3: Write equation
y = x + 16
Answer:
y = x + 16
Step-by-step explanation:
Given the equation y = -x - 1, we see that the slope (the coefficient of the x term) is -1. A line perpendicular to this one has a slope which is the negative reciprocal of the given equation: +1.
Using the point-slope formula for the equation of a straight line, we get:
y - 14 = +1(x + 2), or y - 14 = x + 2, or y = x + 16
can someone find the area of this rectangle please?x
Answer:
72 cm^2
Step-by-step explanation:
If the Length is twice the Width, then W = W and L = 2W.
The perimeter formula is P = 2W + 2L, which here is:
36 = 2W + 2(2W), or
36 = 2W + 4W = 6W; then W = 6 and L = 12.
The area formula is A = L * W, which here is:
A = 6*12 = 72 cm^2
Agustina made a scaled copy of the following quadrilateral. She used a scale factor less than 1. What could be the length of the side that corresponds with overline{AD} of the scaled copy of the quadrilateral? Choose 2 answers: (Choice A) 2 units (Choice B) 3.5 units (Choice C) 14units (Choice D) 18.4 units (Choice E) 21 units
Answer:
A
Step-by-step explanation:
Answer:
A and B i guess
Step-by-step explanation:
because done this in khan so I remember the answer was A and B
Hope this help!
Find the value of the letter in each of the following. Give your answers to 1 d.p.
Answer:
a) z = 70.5°
b) s = 83.6°
c) x = 0.7cm
Step-by-step explanation:
We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.
a) We are given the following values
Hypotenuse = 21 inches
The triangle is divided into two to give us a right angle triangle
The adjacent side = 14inches/2 = 7 inches
We are to find Angle z
The Trigonometric function we are using is Cosine
cos z = Adjacent / Hypotenuse
cos z = 7/21
cos z = 1/3
z = arc cos(1/3)
z = 70.528779366°
To 1 decimal place
z = 70.5°
b) We are given the following values
Hypotenuse = 12 cm
The triangle is divided into two to give us a right angle triangle
The opposite side = 16cm/2 = 8 cm
We are to find Angle s, but it is split into 2
So we represent the half as x
The Trigonometric function we are using is Sine
sin x = Opposite/ Hypotenuse
sin x = 8/12
sin x = 2/3
x = arc sin(2/3)
x = 41.810314896°
Remember in the question, we are to find s.
s = x° × 2
s = 41.810314896 × 2
s = 83.620629792
To 1 decimal place
s = 83.6°
c) From the above diagram, we are to find the Opposite side represented by x
Our triangle is split into two equal halves
Adjacent side = 2cm
Angle θ = 36°/2 = 18°
We are using Trigonometric function tan to solve for question c
tan θ = Opposite/ Adjacent
tan 18° = Opposite/ 2
Cross Multiply = tan 18° × 2
0.3249196962 × 2
= 0.726542528cm
To one decimal place,
x = 0.7cm
Find the simplest pattern and insert the missing terms of the sequences. o, t, t, f, f, s, s, e, n, ...
Answer:
The letters are the first letter of their corresponding numbers (one, two, three = o, t, t). This means that the next terms will be t, e, t, t, f, f, s, s, e, n, t and so on.