Answer:
an = 2·2^(n-1)
Step-by-step explanation:
There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.
The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...
4/2 = 2
8/4 = 2
16/8 = 2
These ratios are all the same (they are "common"), so the sequence is geometric.
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Filling in the values for this sequence, we find the general term to be ...
an = 2·2^(n-1)
Suppose that 14 inches of wire costs 70 cents. At the same rate, how many inches of wire can be bought for 35 cents?
Answer:
7
Step-by-step explanation:
35x2=70 14/2=7
If mZDEF = (7x + 4)", mZDEG = (5x + 1)', and mZGEF = 23", find each
measure.
E
F
D
Angle DEF -
What is x?
Answer:
Yoy answer is x=10
Step-by-step explanation:
We already know what ∠GEF is 23°
so you would have to create an equation like this [tex]23+(5x+1)=7x+4[/tex]
you add 23+1=24 and get [tex]5x+24=7x+4[/tex] subtract 5x on both sides
[tex]24=2x+4[/tex] subtract 4 on both sides
[tex]20=2x[/tex] divide 2 x=10
∠DEF=7(10)=70+4=74
∠DEG=5(10)=50+1=51
To check 51+23=74
A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the player score in an entire season?
Answer:
300
Step-by-step explanation:
hope this helps
milo runs 4.5 miles around his house he has to run 6.7 miles how many miles does he have to run left
Answer:
2.2 miles
Step-by-step explanation:
6.7 - 4.5 = 2.2
Answer:
6.7 miles
Step-by-step explanation:
The sentence about 4.5 miles is extra info. you don't need. In the question it says he needs to run 6.7 miles, then continues to ask how many miles he needs to run.
I hope this answers your question and you understand! Have a great rest of your day! :)
If n represents a number then write an expression for two less than one fourth of n
Answer: [tex]\frac{1}{4}n-2[/tex]
This is the same as [tex]\frac{n}{4} - 2[/tex] and it is also equivalent to [tex]0.25n-2[/tex]
=====================================================
Explanation:
n is some placeholder for a number
one fourth of that number is [tex]\frac{1}{4}n[/tex] which is the same as [tex]\frac{n}{4}[/tex] or [tex]0.25n[/tex] since 1/4 = 0.25
From here, we subtract off 2 to get [tex]\frac{1}{4}n-2[/tex] as one possible final answer.
Sal, John and Desmond have formed a partnership. The total investment was $750,000.
Sal owns 40% and John owns 25% of the partnership. How much did Desmond invest?
Describe the transformation.
Answer:
C. reflection across the x-axis
Answer:
C
Step-by-step explanation:
This is a reflection across the x-axis because it is the same thing but reflected.
Hope this helps.
The temperature falls from 0 degrees to -12.4 degrees in 3 hours. Which expression finds the change in temperature
per hour?
Answer: should be 4.13
Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on
i need a step by step explanation of how to solve this
Answer: x = 6
Step-by-step explanation:
Subtract 8 on both sides. The new equation should be -2x = -3x + 6.Now, add 3x on both sides. It should give you x = 6.[tex](\sqrt{2}-3i)(\sqrt{2}-5i)[/tex] plz simplify
Answer:
-5i
Step-by-step explanation:
A. B. 3(x+2) x+2 =18 =6 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C) C Multiply/divide both sides by the same non-zero constant (Choice D, Checked) D Multiply/divide only one side by a non-zero constant
Answer:
C. Multiply/divide both sides by the same non-zero constant
A. Yes
Just Did It On Khan Academy
Step-by-step explanation:
To get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Two linear equations:
A. 3(x + 2) = 18
B. x + 2 = 18
In equation B multiply by 3 on one side:
3(x + 2) = 18
Thus, to get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.
Learn more about the linear equation here:
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A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B
Answer:
200 miles
Step-by-step explanation:
Company A
Daily charge = $130Per mile = $0.20x miles per day = 130 + 0.2xCompany B
Daily charge = $50Per mile = $0.60x miles per day = 50 + 0.6xAssume x miles that makes same amount for both options, then:
130 + 0.2x = 50 + 0.6x0.6x - 0.2x = 130 - 500.4x = 80x = 80/0.4x = 200 milesThe area, A, of a square with a side of length x is given by A = x^2? Use this relationship to verify that doubling the length of the side of a square floor increases the area of
the floor by a factor of 2^2
Answer:
Hi
Step-by-step explanation:
Which polynomial is in standard form?
A)
2x - 3x2 - 4x} + 6x4 + 8
B)
2x4 - 7x² - 6x² + 3x + 9
5 + 7x2 + 6x + 3x5 + x
D)
5 + 7x3 - 6x² + 3x + 9x
Answer:
A
Step-by-step explanation:
6(m+2)+6m=-5(-7m-7) Solve for m.
Answer:
m = -1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
m = -1
☽------------❀-------------☾
Hi there!
~
Let's solve your equation step-by-step.
[tex]6(m+2)+6m=-5(-7m-7)[/tex]
Step 1: Simplify both sides of the equation.
[tex]6(m+2)+6m=-5(-7m-7)[/tex]
[tex](6)^{(m)} + (6)(2)+6m= (-5)(-7m)+(-5)(-7)[/tex] (Distribute)
[tex]6m+12+6m=35m+35[/tex]
[tex](6m + 6m)+(12)=35m + 35[/tex] (Combine Like Terms)
[tex]12m + 12 = 35m + 35[/tex]
[tex]12m + 12 = 35m + 35[/tex]
Step 2: Subtract 35m from both sides.
[tex]12m + 12 - 35m = 35m + 35 - 35m[/tex]
[tex]-23m + 12 = 35[/tex]
Step 3: Subtract 12 from both sides.
[tex]-23m + 12 - 12= 35 - 12[/tex]
[tex]-23m = 23[/tex]
Step 4: Divide both sides by -23.
[tex]\frac{-23m}{-23} = \frac{23}{-23}[/tex]
[tex]m = 1[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Read the headline below and complete the instruction that follows. “Sloppy Play Sends Tigers to Final Loss” Determine which word indicates bias. Sloppy Tigers Final Loss
Answer:
Sloppy
_________
Answer:
sloppy
Step-by-step explanation:
it basically give a description that not everyone would think about it. if i described texas A&M as Trash not all people think that therefore making the statement an opinion and bias.
The two rectangles in the sketch below are congruent. Which sequence exhibits their congruence? A rotation 90° clockwise about the origin followed by a reflection across the x-axis A rotation 90° counterclockwise about the origin followed by a reflection across the y-axis A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis A rotation 180° counterclockwise about the origin followed by a reflection across the y-axis
Answer:
A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis
Step-by-step explanation:
it's rotated about the origin counterclockwise by 90 degrees and then reflected over the X axis in order to find the shape there.
Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex]\sqrt{146} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(0,2)and (-5,-9)
The distance is
[tex]d = \sqrt{( {0 + 5})^{2} + ({2 + 9})^{2} } \\ = \sqrt{ {5}^{2} + {11}^{2} } \\ = \sqrt{25 + 121} \\ = \sqrt{146} [/tex]
We have the final answer as
[tex] \sqrt{146} \: \: \: units[/tex]
Hope this helps you
Answer:
ok. i have solved. u can have a look .
Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).
Answer:
(47-14) h ÷ 3 =11
Step-by-step explanation:
47-14=33
33 divided by 3 is 11
Jackson takes 11 hours to sell 47 cups.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the number of hours that Jackson sold his cups on Sunday.
Now,
Saturday cups + Sunday cups = Total cups.
14 + 3x = 47
3x = 33
x = 11
Hence "Jackson takes 11 hours to sell 47 cups".
For more about the equation,
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2/7(x+4)=-6 what is the value of x?
Answer:
2/7 as decimal is 0.28
2/7(x+4)=-6
2/7x+ 1 1/4= -6
-6 - 1 1/4 = -7.25
0.28x = -7.25
x = -25.89
Solve with Foil, and show work (4x+3) (5x-4)
Answer:
[tex]20x^{2} + 12x -28[/tex]
Step-by-step explanation:
(4x+3) (5x-4)
= [tex]20x^{2} -16+15x-12[/tex]
(multiply 4x with (5x-4) and multiply 3 with (5x-4) )
= [tex]20x^{2} + 12x -28[/tex]
(rearrange the numbers and subtract 12 from -16)
about what is 4/5+8/9
Answer:
1.688 the 8 will keep repeating
Step-by-step explanation:
Answer:
76/45 or 1.69 (rounded)
Step-by-step explanation:
First, you want to find the LCM (Lowest Common Multiple) of the two fractions.
Here, the LCM would be 45 (5*9).
So the fraction would become:
[tex]\frac{4*9}{45} + \frac{8*5}{45} \\\\\frac{36+40}{45} \\\\\frac{76}{45}[/tex]
I need help with this geometryyyy workkk
Answer:
Perpendicular
Step-by-step explanation:
For this problem, it is important to note two things. One line is completely vertical, and the other line is completely horizontal.
The line y=9 is completely horizontal at the y-value at 9. The line x = 2 is completely vertical at the x-value at 2.
Hence, these two lines would be perpendicular.
Cheers.
Answer:
Perpendicular.
Step-by-step explanation:
Since it makes a huge cross +, which we want it to be, we need the lines to intercept and it makes a right angle. That means it is perpendicular.
Steven wants to buy a $590 bicycle. Steven has no money saved, but will be able to deposit $50 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $60 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
Answer:
13 weeks
Step-by-step explanation:
Add 590 and 60 together and then divide by 50 and you'll get 13
2xy when x = 5 and y = -3
Answer:
the answer is -30
Step-by-step explanation:
2xy=2*5*-3
= -30
The value of the expression 2xy will be -30.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 2xy and x = 5 y = -3. To calculate the value put the value of x and y in the expression.
2xy=2 x 5 x -3
2xy= - 30
Therefore, the value of the expression 2xy will be -30.
To know more about an expression follow
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a seven sided number cube with sides numbered 1,2,3,4,5,6,7 is rolled. what is the probability that a 4 or odd number is rolled ? which fraction ? 5/7 2/7 3/7 4/49
The probablity of rolling a 4 = 1/7
There are 4 odd numbers, so the probablity of rolling an odd number = 4/7
4/7 + 1/7 = 5/7
7¹² ÷ 7⁴ is equal to ___. A. 7³ B. 7⁸ C. 3 D. 1³
Answer:
B. 7⁸
Step-by-step explanation:
The four factors of 7 in the denominator cancel four of the twelve factors of 7 in the numerator, leaving 8. When a product consists of 8 factors of 7, we write it as ...
7⁸
Answer:
B
Step-by-step explanation:
7^12 / 7^4 = 7^8
a1= -26. d= 200
a(n)= ?
Answer:
a(n) = -26+(200n-200)
Step-by-step explanation:
The formula for arithmetic series is "Tn=a+(n-1)d
Then,the elements in the formula are substituted with numbers.i.e Tn= -26+(n-1)200.
therefore,Tn= -26+(200n-200)...
Nb: This answer is Subjected to review, thanks.
Plz answer this as well. Thankyou.
Answer:
21
Step-by-step explanation:
(-5-2)(-3)
= (-7)(-3)
=21
Hi can someone tell me how is the answer 113?? how do i type it in the calculator?? im confused can someone please explain ASAP!!!!!!!!
THANK YOU
You shouldn't need a calculator for this. The quadratic equation is written in standard form.
ax^2 + bx + c = 0
You substitute a, b, and c into the discriminant formula and solve as shown in the example in the picture you provided.
(-7)^2 - 4(2)(-8)
49 - 4(-16)
49 - (-64)
49 + 64
113
Best of Luck!