Answer:
1
Step-by-step explanation:
(-2)(1/4)=-1/2
(-2)(-1/2)
=1
the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1
We have a geometric sequence in which the first term is [tex]\frac{1}{4}[/tex] and the common ratio is -2.
We have to find the third term of this geometric sequence.
What is the formula to find the [tex]n^{th}[/tex] term of a geometric sequence?The formula to find the [tex]n^{th}[/tex] term of a geometric sequence with first term [tex]a_{1}[/tex] and common ratio r is -
[tex]a_{n} =a_{1} r^{n-1}[/tex]
In our question, [tex]a_{1}[/tex] = [tex]\frac{1}{4}[/tex] and r = -2 and n =3.
Substituting the values, we get -
[tex]a_{3} =\frac{1}{4}(-2)^{3-1} = \frac{1}{4} (-2)^{2} =\frac{1}{4}\times4=1[/tex]
Hence, the third term of the geometric sequence with first term = 1/4 and common ratio r = -2 is 1.
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8 times the sum of a and b
Answer:
c
Step-by-step explanation:
i did the quiz
Answer:
8(a + b)
Step-by-step explanation:
Sun of a and b = a + b
8 times of (a + b) = 8(a + b)
Number of minutes 1 2 3 4 5 6 7 8 9 10
Number of trainees 2 3 5 10 15 30 25 15 10 5
1.) use the data to draw a bar chart
Answer: please find the attached file for the graph.
Step-by-step explanation:
Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5
Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.
In bar chart, the bars will not touch each other.
Please find the attached file for the solution and figure
solve the following inequalitie and fin x
5/( + 2)(4 − )< 1
Answer: -1 < x < 3
Step-by-step explanation:
[tex]\dfrac{5}{(x+2)(4-x)}<1[/tex]
Step 1 The denominator cannot equal zero:
x + 2 ≠ 0 and 4 - x ≠ 0
x ≠ -2 4 ≠ x
Place these restrictive values on the number line with an OPEN dot:
<----------o-------------------o--------->
-2 4
Step 2 Find the zeros (subtract 1 from both sides and set equal to zero):
[tex]\dfrac{5}{(x+2)(4-x)}-1=0\\\\\\\dfrac{5}{(x+2)(4-x)}-\dfrac{(x+2)(4-x)}{(x+2)(4-x)}=0\\\\\\\dfrac{5-(-x^2+2x+8)}{(x+2)(4-x)}=0\\\\\\\dfrac{5+x^2-2x-8}{(x+2)(4-x)}=0\\\\\\\dfrac{x^2-2x-3}{(x+2)(4-x)}=0\\\\\\\text{Multiply both sides by (x+2)(4-x) to eliminate the denominator:}\\x^2-2x-3=0\\(x-3)(x+1)=0\\x-3=0\quad x+1=0\\x=3\quad x=-1[/tex]
Add the zeros to the number line with an OPEN dot (since it is <):
<----------o-----o----------o----o--------->
-2 -1 3 4
Step 3 Choose test points to the left, between, and to the right of the points plotted on the graph. Plug those values into (x - 3)(x + 1) to determine its sign (+ or -):
Left of -2: Test point x = -3: (-3 - 3)(-3 + 1) = Positive
Between -2 and -1: Test point x = -1.5: (-1.5 - 3)(-1.5 + 1) = Positive
Between -1 and 3: Test point x = 0: (0 - 3)(0 + 1) = Negative
Between 3 and 4: Test point x = 3.5: (3.5 - 3)(3.5 + 1) = Positive
Right of 4: Test point x = 5: (5 - 3)(5 + 1) = Positive
+ + - + +
<----------o-----o----------o----o--------->
-2 -1 3 4
Step 4 Determine the solution(s) based on the inequality symbol. Since the original inequality was LESS THAN, we want the solutions that are NEGATIVE.
Negative values only occur between -1 and 3
So the solution is: -1 < x < 3
Find the area of the following shape. Show all work
Best way to solve this is by using
[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex]where \: s = \frac{a + b + c}{2} [/tex]
s=(12+8+17)/2
=18.5
using the formulae
area =43.5
describe the type of correlation between two variables on a graph
Answer:
We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.
Step-by-step explanation:
plz mark as brainlist
The correlation between two variables on a graph gives the relationship between those variables. Depending on the nature of these variables plotted on the graphs, the correlation is named.
What is meant by correlation?In a scatterplot, the data points of an individual with two distinct variables are related. This relationship is called 'correlation'. The relationship between any two variables plotted on any graph is named to be a correlation.Depending on the type of relation between the variables, the correlation is categorized into three major types. They are
i) Positively correlation
ii) Negative correlation
iii) No correlation
What is meant by positively correlated?The variables plotted on a graph are said to be positively correlated, if both the variables increase with respect to each other.E.g.: In a graph, if the values of y increase as the value of x increases, then they are said to be positively correlated.What is meant by negatively correlated?The variables plotted on a graph are said to be negatively correlated, if one of the variables increases, the other variable get decreases.E.g.: In a graph if the values of y decrease as the value of x increases, then they are said to be negatively correlated.What is meant by no correlation?The data points for the two variables are plotted randomly on the graph. If there is no relation between any two points of those two variables, then such a relation is said to be 'no correlation'.E.g.: In a graph, if the values of x and y are randomly located, then there is no correlation between them.Learn more about correlation on a graph here:
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Answer for Brainiest, 25 points and 5 stars with thanks
Range: 71.9
Spread out above the median
The range is the biggest number minus the smallest number. This makes sense. The range here is 81.3 - 9.4 = 71.9.
Next, see the two middle groups? You can see the median, 45.5. Does the left or right side seem more spread out? It's the right side. 34.7 is closer to 45.5 than 63.6 is to 45.5.
Hope that helped,
-sirswagger21
On Wednesday at camp, Samuel went for a hike at 6:30 A.M. The hike took 2 hours and 15 minutes. As soon as he got back from the hike, Samuel played volleyball for 1 hour. What time did Samuel finish playing volleyball?
Answer:
9:45 A.M.
Step-by-step explanation:
First, add the time that took him to hike:
6:30 + 2 hours and 15 minutes = 8:45 A.M.
Next, add the 1 hour that he played volleyball for:
8:45 + 1 hour = 9:45 A.M.
So, he finished playing volleyball at 9:45 A.M.
Answer:
9:45 am
Step-by-step explanation:
He went at 6:30 am to a hike.
It took him 2 hours 15 minutes
=> 6 : 30
+ 2 15
=> 8 : 45
He came back from the Hike at 8:45 am
He played volleyball for 1 hour.
=> 8 : 45
+ 1
=> 9 : 45
He finished playing volleyball at 9:45 am
Please Help me 5 People can build a wall in one hour how long will it take 8 people Give the answer in Minutes
Answer:
if 5 people =1 hour. which is 60 minutes.
so 8people.52 minutes ...it wont take hours .since an hour is 60 min.
Answer:
[tex] \boxed{37.5 \: \: \: minutes}[/tex]Step-by-step explanation:
Let's solve:
[tex] \mathsf {people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: time( \: in \: minutes) }[/tex]
[tex] \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 hour = 60 minutes}[/tex]
[tex] \mathsf{8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x}[/tex]
Here, Let 8 people take x minutes to complete the work.
Since, the number of people and their working minutes are indirect proportional. So,
Here, the ratio of people = 5 : 8
The ratio of minutes = 60 : x
So,
[tex] \mathsf{ \frac{5}{8} = \frac{x}{60} }[/tex]
Apply cross product property
⇒[tex] \mathsf{8x = 60 \times 5}[/tex]
Multiply the numbers
⇒[tex] \mathsf{8x = 300}[/tex]
Divide both sides of the equation by 8
⇒[tex] \mathsf {\frac{8x}{8} = \frac{300}{8} }[/tex]
Calculate
⇒[tex] \mathsf{x = 37.5 \: minutes}[/tex]
Hope I helped!
Best regards!
All of the following are true about the standard error of the mean except a. it is larger than the standard deviation of the population. b. its value is influenced by the standard deviation of the population. c. it decreases as the sample size increases. d. it measures the variability in sample means.
Answer:
The correct option is a.
Step-by-step explanation:
The standard deviation of the sampling distribution of sample mean ([tex]\bar x[/tex]) is known as the standard error. It is denoted by [tex]\sigma_{m}[/tex].
The formula to compute the standard error is:
[tex]\sigma_{m}=\frac{\sigma}{\sqrt{n}}[/tex]
As the population standard deviation is divided by the square root of the sample size, the standard error can never be more than the population standard deviation, σ.
Also, since the population standard deviation is directly proportional to the standard error, the value of [tex]\sigma_{m}[/tex] is affected by the value of σ.
And since the sample size is inversely proportional to the standard error, the value of [tex]\sigma_{m}[/tex] decreases as the value of n increases.
The sample mean is a statistic, i.e. it represents a specific characteristic (here, the average) of the sample.
The standard deviation of any statistic measures the variability of the statistic.
So, the standard error measures the variability in sample means.
Thus, the correct option is a.
PLEASE HELP ME FAST...
I will mark you a BRAINLEST
Answer: Hi!
Row A: 7, 11, 15, 19, 23
Row B: 51, 42, 33, 24, 15
Row C: 4, 8, 16, 32, 64
Row D: 64, 32, 16, 8, 4
(If you notice, Row C and Row D are just swapped in order!)
Hope this helps!
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------------------
A's rule, add 4: 7, 11, 15, 19, 23
B's rule, Subtract 9: 51, 42, 33, 24, 15
C's rule, Multiply by 2: 4, 8, 16, 32, 64
D's rule, Divide by 2: 64, 32, 16, 8, 4
20 POINTS! ***CORRECT*** ANSWER GETS BRAINLIEST!!!!
The fraction model below shows the steps that a student performed to find a quotient.
Which statement best interprets the quotient?
A. There are 5 1/6 three-fourths in 4 1/8
B. There are 5 1/6 three and one-eights in 3/4
C. There are 5 1/2 three and one-eights in 3/4
D. There are 5 1/2 three-fourths in 4 1/8
Answer:
(D) There are [tex]5 \frac{1}{2}[/tex] three-fourths in [tex]4 \frac{1}{8}[/tex]
Step-by-step explanation:
We can see that in this model, the student tried to put [tex]\frac{3}{4}[/tex] into [tex]4 \frac{1}{8}[/tex]. We know this because the top of Step 2 is [tex]4 \frac{1}{8}[/tex] and he is counting how many fourths in the bottom.
So this becomes the division statement:
[tex]4 \frac{1}{8} \div \frac{3}{4}[/tex].
We can convert [tex]4 \frac{1}{8}[/tex] into a mixed number by multiplying 8 and 4, then adding 1.
[tex]\frac{33}{8} \div \frac{3}{4}[/tex].
Multiply by the reciprocal:
[tex]\frac{33}{8} \cdot \frac{4}{3} = \frac{132}{24}[/tex]
Which simplifies down to
[tex]\frac{11}{2}[/tex], which is just [tex]5 \frac{1}{2}[/tex] in improper form.
Hope this helped!
Answer:
D
Step-by-step explanation:
in a right angle triangle ACB in which AC=X AB=12 and angle ACB=30° Find the value of x
Answer:
According to the Pythagoras Theorem-
[tex]hypotenuse^{2}[/tex] = [tex]alltitude^{2} + base^{2}[/tex]
12 – 2x= -2(y – x)
-2x = -2(y – x) – 12
x= (y - x) + 6
Answer:
x=o and y= -6
Step-by-step explanation:
12-2x = - 2(y-x)
or,12-2x = -2y + 2x
or, 12 = - 2y + 4x
or, 12/2= 2x - y
or, 2x - y = 6
• 2x -6= y.....eqn_1
-2x=-2y+2x -12
or,4x +2y= -12
or,4x + 2(2x-6)= -12
or, 4x+4x-12=-12
or, 8x= 0
• x= o
putting the value of x in eqn...3
o=(y-0)+6
or, o= y + 6
•y = -6
Someone pleaseeee help me!!!! I’m stuck
Answer:
Hey there!
1/2 can also be written as 8/16.
Thus, starting from 0, count 8 tick marks, and place a point there.
3/16 is just 3/16.
Thus, starting from the 8th tick mark (where you left off in the first part) count three more tick marks to the 11th tick mark.
This shows us that 8/16+3/16=11/16.
Hope this helps :)
Answer:
so 1/2+3/16 is 11/16
Step-by-step explanation:
count the lines until u get to 11 and thts where u put the point.
hope this helps.have a good day
2 liters is equivalent to how many ounces
Answer:
hey hon! 2 liters is equal to 67.628 fluid ounces :) hope you have a nice day.
S(t) = -105t + 945 to determine the salvage value, S(t), in dollars, of a table saw t years after its purchase. How long will it take the saw to depreciate completely? A. 11 years B. 8 years C. 7 years D. 9 years
Answer:
D
Step-by-step explanation:
When something depreciates completely, it will have a total value of 0 dollars. Therefore, set the equation to zero and solve for t to find the years.
[tex]S(t)=-105t+945\\0=-105t+945\\-105t=-945\\t=9[/tex]
Therefore, the table saw will completely depreciate after 9 years.
Answer:
[tex]\large \boxed{\sf \bold{D.} \ 9 \ years}[/tex]
Step-by-step explanation:
[tex]S(t) = -105t + 945[/tex]
For the value to depreciate completely, the amount has to be equal to 0 dollars.
Set S(t) to 0.
[tex]0 = -105t + 945[/tex]
Solve for the time t.
Subtract 945 from both sides.
[tex]0 -945= -105t + 945-945[/tex]
[tex]-945=-105t[/tex]
Divide both sides by -105.
[tex]\displaystyle \frac{-945}{-105}=\frac{-105t}{-105}[/tex]
[tex]9=t[/tex]
It will take 9 years for the saw to depreciate completely.
Aileen is planning a huge graduation party for her
best friend, Melody. She decides to offer both beef
and chicken meals at the party. Each chicken meal
costs $4 and each beef meal costs $6. There will
be 150 people at the party, and the total cost of the
food is $700. How many chicken meals did Aileen
order?
A) 80
B) 100
C) 90
D) 110
Answer:
B) 100
Step-by-step explanation:
Let c represent the number of chicken meals ordered. Then 150-c is the number of beef meals ordered, and the total meal cost is ...
4c +6(150-c) = 700
-2c = -200 . . . . . . . . subtract 900, simplify
c = -200/-2 = 100
100 chicken meals were ordered.
sandra is playing a trivia game.on her first turn she lost 75 points. on her second turn,she lost 35 points. on her third turn,she scored 100 points. What is sandras score after three turns?
Answer: -10 points
Step-by-step explanation:
She lost 110,so that loss -the gain(100) is the total score at the end of three games
An inchworm (exactly one inch long, of course) is crawling up a yardstick (guess how long that is?). After the rst day, the inchworm's head (let's just assume that's at the front) is at the 3" mark. After the second day, the inchworm's head is at the 6" mark. After the third day, the inchworm's head is at the 9" mark. Let d equal the number of days the worm has been crawling. (So after the rst day, d = 1.) Let h be the number of inches the head has gone. Let t be the position of the worm's tail.
Two angles are adjacent and form an angle of 160. Their difference is 34. Find the angles
Answer:
The angles are 63 , 97
Step-by-step explanation:
Let one angle be x
As sum of two angles is 160, the other angle = 160 - x
Their difference = 34
x - [160- x] = 34
Use distributive property to remove the brackets
x - 160 + x = 34
Add like terms
x + x - 160 = 34
2x - 160 = 34
Add 160 to both sides
2x = 34 + 160
2x = 194
Divide both sides by 2
2x/2 = 194/2
x = 97°
One angle = 97°
Other angle = 160 - 97 = 63°
can someone plzz answer dis ma braincells dont seem to work
Answer:
Good luck undersatnding.
Step-by-step explanation:
1.
A) 27 (over) 4
B) 97 (over) 117
2.
C) 8
D) -243 (over) 32
3.
Square root of 25 is 5
Square root of 16 is 4
Square root of 9 is 3
Square root of 1 is 1
4.
E) 553 (over) 72
F) 11 (over) 56
G) 65 (over) 18
H) 28 (over) 9
5.
E) 35941
F) 81130
G) 79567.75
H) 20525.857
I dont know 7-8
9.
E) Negative
F) Positive
G) Positive
H) Negative
10.
Square root of 25 is 5
Square root of 64 is 8
Square root of 121 is 11
Square root of 225 is 15
I couldn't post images for 6, it wont let me.
Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest
number of possible solutions to this system?
Answer:
greatest number of solutions is 2
Step-by-step explanation:
one is a parabola, the other is a line
so it can intersect in 0, 1, 2 points
What is the slope of the line?
A) -1/3
B) 1/3
C) -3
D) 3
Answer:
Hey there!
A simple way to think about slope is rise over run. Between any two points on this line, the rise is 3, and the run is -1.
3/-1=-3, so the slope is -3.
Let me know if this helps :)
The school's square parking lot has an
area of 3025 ft2. What is the length of each
side of the parking lot?
Answer:
The answer is 55ftStep-by-step explanation:
Since the school's parking lot is a square,
Area of a square = l²
where l is the length of one side
From the question
Area = 3025ft²
We have
3025 = l²
Find the square root of both sides
l = √3025
l = 55ft
The length of each side of the parking lot is 55ft
Hope this helps you
Determine the most precise name for KIET (parallelogram,rhombus,rectangle or square.) you must use slope or length. K(0,0) I(2,2) T(5,-5) E(7,-3)
Answer: rectangle.
Step-by-step explanation:
Given points: K(0,0) I(2,2) T(5,-5) E(7,-3)
Distance formula to find distance between [tex]A(a,b)[/tex] and [tex]B(c,d)[/tex]: [tex]AB=\sqrt{(d-b)^2+((c-a)^2}[/tex]
[tex]KI=\sqrt{(2-0)^2+(2-0)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units[/tex]
[tex]KT=\sqrt{(5-0)^2+(-5-0)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units[/tex]
[tex]TE=\sqrt{(7-5)^2+(-3+5)^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\ units[/tex]
[tex]IE=\sqrt{(7-2)^2+(-3-2)^2}=\sqrt{25+25}=\sqrt{50}=5\sqrt{2}\ units[/tex]
i.e. KI = TE and KT= IE, so opposite sides equal.
It can be a parallelogram or rectangle. [if all sides are equal it would be square or rhombus]
[tex]IT=\sqrt{(5-2)^2+(-5-2)^2}=\sqrt{3^2+7^2}=\sqrt{9+49}=\sqrt{58}\ units[/tex]
[tex]KE=\sqrt{(7-0)^2+(-3-0)^2}=\sqrt{7^2+3^2}=\sqrt{9+49}=\sqrt{58}\ units[/tex]
IT= KE, i.e. diagonals are equal.
It means KIET is a rectangle.
I will rate you a brainlest☆
Answer:
A 0.6 0.9 1.2 1.5 1.8
B 3/8 5/8 7/8 9/8 11/8
C -7 -5 -3 -2 -1
D 1, 1 1/3, 1 2/3, 2, 2 1/3
E 0.61 0.72 0.83 0.94 1.05
Step-by-step explanation:
Answer:
A. x x 1.2 1.5 1.8
B. 3/8 x x x 1 2/8
C. x x -3 -2 -1
D. 0 x x x 5 1/3
E. x x 0.83 0.94 1.05
Step-by-step explanation:
hope it helped
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
===============================================
Explanation:
Let's calculate the angle B based off the arcs CDF and GHJ
B = (far arc - near arc)/2
B = (arc CDF - arc GHJ)/2
B = (130 - 40)/2
B = 90/2
B = 45
----------
Now let's change GHJ to 30 degrees, while keeping the other arc the same.
B = (far arc - near arc)/2
B = (arc CDF - arc GHJ)/2
B = (130 - 30)/2
B = 100/2
B = 50
Angle B has increased from 45 degrees to 50 degrees.
The triangle is a right triangle with the right angle marked. Which equation correctly expresses The Pythagorean Theorem for this triangle?
r^2 + s^2 = t^2
The legs are length r and s. Square them and add the squares to get the square of the hypotenuse t. The hypotenuse is always opposite the 90 degree angle.
Answer:
Hey there!
The pythagorean theorem states that the square of one leg plus the square of another leg is equal to the square of the hypotenuse.
Thus, r^2+s^2=t^2.
This can be a challenging topic, and if you need a further explanation, let me know. Hope this helps :)
please help :) (1) We went to the Museum of Natural Science to see the new gem exhibit. (2) The display included and showed minerals from all over the world. (3) The most impressive part of the show was the extensive display of diamonds and other precious stones. Which revision makes one of the sentences more concise? A. Sentence 1: Delete the word “gem.” B. Sentence 2: Delete the phrase “and showed.” C. Sentence 3: Change “impressive” to “interesting.” D. Sentence 3: Change “show” to “exhibit.”
Answer
B. Sentence 2: Because included, and showed is the exact same thing so B
Step-by-step explanation:
Answer:
just so other guy can have brainlest
Step-by-step explanation:
What is the scale factor of abc to def
Answer:
[tex]\large \boxed{\mathrm{B. \ 6}}[/tex]
Step-by-step explanation:
Length AB is similar to length DE.
Scale factor = DE/AB
Scale factor = 12/2
Scale factor = 6
The required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF which is the correct option (B).
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
Length AB is similar to length DE.
Here triangle ΔABC is dilated to form triangle ΔDEF
Length of the side DE = 12
Length of the side AB = 2
As we know scale factor is the ratio of sides in the original image and the image after dilation.
Scale factor = DE/AB
Substitute the values of the length of the side DE and AB,
Scale factor = 12/2
Apply the division operation, and we get
Scale factor = 6
Therefore, the required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF.
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