Answer:
a₆ = - 486
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = 3 , then
a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486
The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is
[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2
Do you know what the variables could be
Answer:
5, 7, and 12
Step-by-step explanation:
First we can make and equation
x + z + y = 24
we can plug in the numbers you gave us giving us
y = x + z
z = y - x
x = (y - 2) ÷ 2
Once, were done we get that x = 5 ≈ smallest number
z = 7 ≈ second largest number
y = 12 ≈ largest number
In figure BC = CA and ∠A = 40°. Then ∠ACD is...
a)40° b) 80° c) 120° d) 60°
Answer:
B
Step-by-step explanation:
The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's
Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)
Answer:
b. 80°
Step-by-step explanation:
B is 40°
A triangle has 180°
40 + 40 + x = 180
80 + x = 180
x = 100
Since it's a supplementary angle...
180 - 100 = 80
Find a value c in the interval [0,3] such that f(c) is equal to the average value.
Answer:
1.5
Step-by-step explanation:
Numbers in the interval are 0, 1, 2 and 3
Average Value = (0+1+2+3)/4=1.5
The average value of the numbers in the interval {0,3} is 1.5.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Mean is defined as the ratio of the sum of the number of data sets to the total number of data.
Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.
The average of the numbers is calculated as,
Average Value = (0+1+2+3)/4
Average Value =1.5
Therefore, the average value of the numbers in the interval {0,3} is 1.5
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Solve for x
………………..
Find the value of x and y and each labeled
angle.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{40 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{80 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the given figure, we can infer that ~
3x - 20° + 2x = 180°(by linear pair)
now, let's solve for x ~
[tex]5x - 20 \degree = 180 \degree[/tex][tex]5x = 180 \degree + 20 \degree[/tex][tex]5x = 200 \degree[/tex][tex]x = 200 \degree \div 5[/tex][tex]x = 40 \degree[/tex]And, we can see that 2x = y (by alternate interior angle pair)
So, let's find the value of y ~
[tex]2x[/tex][tex]2 \times 40 \degree[/tex][tex]80 \degree[/tex]Answer:
x = 40
3x - 20 = 100
2x = 80
y = 80
2x - 15 = 65
Step-by-step explanation:
The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.
Angles 2x and y are alternate interior angles, so they are congruent.
Once we find the value of x, we can find the measure of angle 2x - 15.
3x - 20 + 2x = 180
5x = 200
x = 40
3x - 20 = 3(40) - 20 = 120 - 20 = 100
2x = 2(40) = 80
y = x = 80
2x - 15 = 2(40) - 15 = 80 - 15 = 65
Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.
For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:
Setting the first factor, x² - 36, to zero:
x² - 36 = 0
Now, add 36 to both sides of the equation:
x² = 36
Next, take the square root of both sides:
x = ±√36
x = ±6
Setting the second factor, x + 7, to zero:
x + 7 = 0
Now, subtract 7 from both sides of the equation:
x = -7
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
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if you add -10 to 4 times the mystery number you get 0 what is the mystery number?
Answer:
2.5
Step-by-step explanation:
2.5x4=10
10-10=0
What is the volume?????
There are 13 books on your shelf, and you will take 5 of them on vacation with you.
How many ways can the books be chosen?
Answer:
Important, funny and book about the place you are going?
5
8. The frequency distribution below summarizes employee years of service for Alpha Corporation. Determine the width of each class.
Years of service Frequency
1-5
6-10
20
11-15
25
16-20
10
21-25
5
26-30
The required class widths are 3, 8, 13, 18, 23 and 28
Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:
[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]
The width of each class is calculated by taking the midpoints of each of the class intervals as shown:
For the class interval 1 - 5
width = 1+5/2 = 3
For the class interval 1 - 5
width = 6+10/2 = 8
For the class interval 11 - 15
width = 11+15/2 = 13
For the class interval 16 - 20
width = 16+20/2 = 18
For the class interval 21 - 25
width = 21+25/2 = 23
For the class interval 26 - 30
width = 26+30/2 = 28
Hence the required class widths are 3, 8, 13, 18, 23 and 28
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Pls someone help me!!
Answer:
116°
Step-by-step explanation:
Interior angles in a triangle are added up to 180°.
Therefore,
(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°
Now you can solve this equation and find the value of x.
[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]
[tex]14x+4+5x-1+2x+9=180[/tex]
[tex]14x+5x+2x+4-1+9=180[/tex]
[tex]21x+12=180[/tex]
[tex]21x=180-12[/tex]
[tex]21x=168[/tex]
[tex]\frac{21x}{21}= \frac{168}{21}[/tex]
[tex]x=8[/tex]
Now let's find the value of angle A
14x + 4
14 × 8 + 4
116°
A Science book has 428 pages, of which 47% are on biology, 28% on Chemistry and the remainder on Physics. How many pages on Physics are there?
Answer:
107 pages.
Step-by-step explanation:
100 - 47 - 28 = 25% are on Physics.
Number of pages on physics = 0.25 * 428
= 107.
Answer:
There are 107 pages devoted to physics.
Step-by-step explanation:
The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);
the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is
201 + 120, or 321.
Subtracting this subtotal from the book's 428 pages yields 107.
There are 107 pages devoted to physics.
Add the following fractions answer in lowest terms.
1) 9/10+4/5+5/6=
2) 14/15+2/9+1/5=
please give me Right answers please.
Answer:
1) 9/10 + 4/5 + 5/6 = 2 8/15
2) 14/15 + 2/9 + 1/5 = 1 16/45
==============================================
Solution:
[tex] \bold{1)} \: \tt \frac{9}{10} + \frac{4}{5} + \frac{5}{6} \\ \\⟹ \tt \frac{9}{10} + \frac{4}{5} \\ = \tt \frac{9 \times 1}{10 \times 1} + \frac{4 \times 2}{5 \times 2} = \frac{9 + 8}{10} = \frac{17}{10} \\ \\ ⟹\tt \frac{17}{10} + \frac{5}{6} \\ = \tt \frac{17 \times 3}{10 \times 3} + \frac{5 \times 5}{6 \times 5} = \frac{51 + 25}{30} = \frac{76}{30} \: or \: 2 \frac{16}{30} = 2 \frac{8}{15} \\ \\ \\ \\ \bold{2)} \tt \: \: \frac{14}{15} + \frac{2}{9} + \frac{1}{5} \\ \\⟹ \tt \frac{14 \times 3}{15 \times 3} + \frac{2 \times 5}{9 \times 5} = \frac{42 + 10}{45} = \frac{52}{45} \\ \\⟹ \tt \frac{52}{45} + \frac{1}{5} \\ = \frac{52 \times 1}{45 \times 1} + \frac{1 \times 9}{5 \times 9} = \frac{52 + 9}{45} = \frac{61}{45} = 1 \frac{16}{45} [/tex]
Solve for x
9(x + 5) = -9
Answer:
x = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
9(x+5)=−9
(9)(x)+(9)(5)=−9(Distribute)
Step 2: Subtract 45 from both sides.
Step 3: Divide both sides by 9.
Hello there! :)
9(x+5)=-9
Use the Distributive Property:
9(x+5)=-9
9x+45=-9
9x=-9-45
9x=-54
Divide both sides by 9:
x=-6
Hope it helps you! :) Feel free to ask me if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature[/tex]
plz help asap
Find the length X
Answer:
x=8 that's the answer for the question
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean
Step-by-step explanation:
What is the equation of the line on the graph? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y= ⅔x -2
Step-by-step explanation:
slope-intercept form
y= mx +b, where m is the slope and b is the y-intercept.
Two given coordinates: (-3, -4) and (6, 2)
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope
[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]
[tex] = \frac{2 + 4}{6 + 3} [/tex]
[tex] = \frac{6}{9} [/tex]
[tex] = \frac{2}{3} [/tex]
Substitute m= ⅔ into the equation:
y= ⅔x +b
From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).
Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.
When x= 6, y= 2,
[tex]2 = \frac{2}{3} (6) + b[/tex]
2= 4 +b
b= 2 -4
b= -2
Thus the equation of the line is y= ⅔x -2.
- 3< t <2
t is an integer.
Write down all the possible values of t.
Answer:
-2, -1, 0, 1
Step-by-step explanation:
-2
-1
0
1
All the possible values of t in the inequality - 3 < t < 2 is,
t = - 2, - 1, 0, 1
Used the concept of inequality that states,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that;
The inequality is,
- 3 < t < 2
Here the given inequality means all the values of t are lies between - 3 and 2.
That is,
t = - 2, - 1, 0, 1
Therefore, the value of t are t = - 2, - 1, 0, 1
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What type of a regular polygon in which each interior angle is 2/3 of two right angles?
Answer:
Triangle
Step-by-step explanation:
90/3=30
30×2=60.
60° internally in a triangle.
What's the length of an arc with a central angle of 100° and a radius of 2 inches?
A) 10pi/9 inches
B) 5pi/3 inches
C) 100pi/3 inches
D)40pi/3 inches
Will make brainly who answers correctly.
Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.
3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.
Answer:
The answer is 2, 6, 5, 1 for the Grams of Fiber.
Step-by-step explanation:
What is this symbol??
Answer:
plus and minus
Step-by-step explanation:
example : 3 ± 5 = 8 or -2
Hello!
The symbol + means "plus or minus"
It means we either add or subtract 4.
Example: 2+4=6 or -2
Hope it helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SilentNature :-)[/tex]
Someone please help me!
Answer:
$343.75
Step-by-step explanation:
$5.50 × 125 = $687.50 ÷ 2 = $343.75
Answer:
$343.75
Step-by-step explanation:
Multiply 5.50 by 125 hours to get the amount of money she has earned. Then since she saved half of it divide that amount which is $687.50 by 2 to get $343.75
Will give brainly crown (if shown step by steps I'll give half of my entire points)
Felix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.
a. Felix was given a card with an APR of 14%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.
b. Oscar was given a card with an APR of 21%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.
c. If each of them had an average daily balance of $800 for a specific month, and had to pay a finance charge, how much more would Oscar pay than Felix?
A) The monthly percentage rate of Felix is;
B) The monthly percentage rate of Oscar is;
C) The amount that Oscar will pay more than Felix is; $0.96
Annual Percentage Rate
A) Felix was given a card with APR of 14%.
Thus;
Monthly percentage rate = 14%/12 = 1.63%
B) Oscar was given a card with an APR of 21%. Thus;
Monthly percentage rate = 21%/12 = 1.75%
C) We are told that each of them had an average daily balance of $800 for a specific month.
Thus;
Amount paid by Felix = 800 * 1.63%
Amount paid by Felix = $13.04
Amount paid by Oscar = 800 * 1.75%
Amount paid by Oscar = $14
Difference in Payments = $14 - $13.04 = $0.96
Thus, Oscar pays $0.96 more than Felix.
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a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)
b. oscar 21/12 = 1.75% (no need to round here)
c.
felix: (1.17/100) x 800 = 9.36
oscar: (1.75/100) x 800 = 14.00
14.00 - 9.36 = 4.64
oscar will pay $4.64 more than felix.
Does someone have this answer???? Thank you so much
Answer: 3
Step-by-step explanation:
We know that p(t) = 11:
11=2t+5
11-5=2t
6=2t
6/2 = t
3 = t
A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.
Answer:
The scuba diver is 27 feet below sea level.
-
Hope this will assist you.
The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:
42/2 + 6 = X 21 + 6 = X 27 = X
Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.
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Which graph represents x ≥ 2?
Answer:
...
Step-by-step explanation:
if pepsi Bottles 8-pack or cans 12-pack 3 for $12.88 how much for 1 pack?
explain
Answer: $4.29?
Step-by-step explanation:
3 pack /3 = $12.88 /3
1 pack = 4 22/75 or approx $4.29
9 (4x - 6) = 2(-3 - 2x)
[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
Solve for x using
multiplication.
Cross
-
3x - 3
5
=
2x - 2
4.
x = [?]
Answer:
x = 1
Step-by-step explanation:
[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )
4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides
12x - 12 = 10x - 10 ( subtract 10x from both sides )
2x - 12 = - 10 ( add 12 to both sides )
2x = 2 ( divide both sides by 2 )
x = 1