Answer:
Option (3)
Step-by-step explanation:
Given expression represents the sum of k terms of a geometric sequence.
[tex]\sum_{k=1}^{9}2(4)^{k-1}[/tex]
Since, formula to calculate the sum of a geometric sequence is given by,
[tex]\sum_{n=1}^{n}a(r)^{n-1}=\frac{a(1-r^n)}{1-r}[/tex]
By this formula,sum of 9 terms of the given sequence will be,
[tex]\sum_{k=1}^{9}2(4)^{k-1}=\frac{2(1-4^9)}{1-4}[/tex]
Therefore, Option (3) will be the answer.
Answer:
Thank you for your service! This was super helpful.
Step-by-step explanation:
(:
Chicago ave is parallel to Ontario Street. What is the relationship between angles 2 and 3?
They are same side interior
They are corresponding
They are alternate interior
They are alternate exterior
Answer:
they are alternate interior angles my guy.
We can conclude from the figure that angles 2 and 3 are same side interior
Trigonometry identityFrom the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.
The following are true of a quadrilateral;The sum of the interior angles is 360 degreesThe sum of the adjacent sides of the angles is 180 degreesThey have the same side interior anglesFrom the diagram, we can conclude that angles 2 and 3 are same side interior
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The cost of nails varies directly with the number of pounds bought.
If 4 pounds of nails cost $11.60, what is the cost of 3.5 pounds?
Answer:
10.15
Step-by-step explanation:
7th-grade question
..............
Answer:
C
Step-by-step explanation:
4 ounce costs $1.79
12 ounce costs $4.11
$1.79 ÷ 4 = 0.4475 per ounce
$4.11 ÷ 12 = 0.3425 per ounce
0.3425 < 0.4475
So the 12 ounce tube is the better buy becaus it is cheaper per ounce.
hope this helps :)
A piecewise function has
A. Curved lines that only increase or decrease
B. Curved lines that do both increase and decrease on the same graph
C. Straight lines that only increase or decrease
D. Straight lines that do both increase and decrease on the same graph
E. Straight lines that do both increase decrease or stay constant on the same graph
a piece wise function are curved lines that do both increase and decrease on the same graph
so the answer is B
A Scientist is working with 19 meters of gold wire how long is the wire in millimeters
.................................
Answer:
0
Step-by-step explanation:
Given:
(-3, 2)
(4, 2)
Required:
Slope that passes through the two points given.
Solution:
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (-3, 2) = (x_1, y_1) [/tex]
[tex] (4, 2) = (x_2, y_2) [/tex]
Plug in the values into the formula
Slope = [tex] \frac{2 - 2}{4 -(-3)} [/tex]
[tex] = \frac{0}{7} [/tex]
[tex] slope = 0 [/tex]
Find the total value of an investment of $12,700 at 8.8% for 1 year to the nearest dollar.
Answer:
$13,817.60
Step-by-step explanation:
Interest earned = $12,700 × [tex]\frac{8.8}{100}[/tex] × 1
= $1,117.60
Total earned = $1,117.60 + $12,700
= $13,817.60
please help me will mark brainliest
Monique is paid p dollars monthly. She also receives a bonus of $5,500 once a year. Write an expression to
represent the amount of money Monique is paid in ore year?
Answer:
Step-by-step explanation:
monthly express as p
in a year she will have 12p+5,500
CAN ANYONE PLS TELL ME THE BOTH
Answer:
1:2 and 12
Step-by-step explanation:
2: 4 is equivalent with anothher ratio if you did the exact same multiplication and division to both terms
you have
1 : 2 from 2/2 : 4/2 so in good
7 : 8 is no good
4: 2 is no good
6: 10 is no good
3 olive oil : 1 vinegar
x olive oil : 4 vineger ( we multiply both by 4)
3*4 olive oil : 1*4 vinegar
12 olive oil : 4 vinegar
I need help on how to write an EQUATION of how to solve for X 2x<15 simpliefied answer anyone that can help tysm
Answer:
2x < 15
x < 7.5 (or x < 15/2)
Consider the whole numbers from 0 to 9. You may only use each digit ONCE.
Sketch one digit in each of the blank squares to find the SMALLEST possible result.
Answer:
8 ÷ 0 (2+3)^7 x 1 - 9
Step-by-step explanation:
I think this is correct because the result would be zero as 9 ÷ 0 is 0 and 0 anything is zero. I could be wrong tho
A national trivia tournament starts with 262,144 teams. With each round, there are half as many teams as before. The number of teams after any number of rounds, x, can be modeled with the following function.
f(x) = 262,144
Which statement compares the mathematical range and reasonable range of the function?
Both the mathematical and reasonable ranges are limited to real numbers greater than 0 and less than or equal to 262,144.
Both the mathematical and reasonable ranges are limited to whole numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all real numbers greater than 0 and less than or equal to 262,144.
The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144
Answer:
D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.
Step-by-step explanation:
I don't even know, but yeah.
Answer:
D) the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144
Step-by-step explanation:
1. Ethan writes 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?
Answer:
Step-by-step explanation:
2/18
Identify each as an equation or and expression.
Answer:
here lets make it easy for you
An expression is a problem WITHOUT an Equal sign
An equation is a problem WITH an Equal sign
Answer:
Equation: 2nd, 5th, and 6th
Expression: 1st, 3rd, and 4th
Step-by-step explanation:
Equations need to have the equal sign and expressions don't have one.
For every 3 packages that Marcella wraps, she uses 1\2 of a roll of wrapping paper.
If she uses 2\12 rolls of wrapping paper, how many packages has she wrapped?
Christine made 132$ for 11 hours of work.
At the same rate, how many hours would she have to work to make 84$ ?
What is the product (3 x 10') * (2 x 10") in scientific
Answer:
600
Step-by-step explanation:
3 x 10 = 30
2 x 10 = 20
30 x 20 = 600
One fifth of a post is under the ground and the remaining part above the ground is 8 ft. What is the length of its part under ground?
Solve for x
4 to the power of 2x divided by 8 to the power x is equal to 32
X is equal 5 in 4 to the power of 2x divided by 8 to the power x is equal to 32.
What is base and power?Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself.
In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:
Whenever a number:
Squared = power is 2
cubed = Power is 3
to the power of n = used for powers more than 3
The data given gives as an equation as followed
⇒ [tex]4^{2x}[/tex] ÷ [tex]8^x[/tex] = 32
⇒ [tex](2^2)^{2x}[/tex] ÷ [tex](2^3)^{x}[/tex] = 32
⇒ [tex]2^{4x}[/tex] ÷ [tex]2^{3x}[/tex] = 32
⇒ [tex]2^{(4x - 3x )}[/tex] = 32 (If the base is same in a division, then the powers
⇒ [tex]2^x[/tex] = 32 can simply be subtracted with the base as common)
⇒ 2 = [tex]\sqrt[x]{32}[/tex]
⇒ 2 = [tex]\sqrt[5]{32}[/tex]
Thus, x = 5
Learn more about exponent
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How many sixteenths are there in 5/8
Answer:
10!
Step-by-step explanation:
Exuse me if im wrong :')
Please HELP HELP HELP HELP HELP HELP HELP
Answer:
with the X you now know you will have to multiply then you need to figure out what the other side of the = sign is with X and you should get your answer!
Step-by-step explanation:
That's all I know Sorry
Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon
Answer:
40
Step-by-step explanation:
The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x - 5 = 16 is an equation.
Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,
So, the equation =
n = 5÷1/8
n = 40
Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8
Learn more about equations, click;
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the intersection of GHL, MNJ, and GKJ is
Answer:
answer your own man
ysovsivsuv
Answer:
Step-by-step explanation:
Phillip and his two friends need to raise at least 2,400 for their study abroad trip to europe. so far they have raised 600$. Write an inequality to represent x, the amount of money they need to raise after the first week,
Answer:
x+600≥2400
Step-by-step explanation:
It has to be atleast 2400
I would appreciate if someone could solve this problem and explain it :)
Ps. I will give a brainless also :)
Answer:
Step-by-step explanation:
Givens
C is the midpoint of AE
D is the midpoint of BE
DC is given as 46
Remark
Triangle CED is similar to AEB by SAS for similarity
Therefore DC is 1/2 the size of AB
Solution
1/2 AB = DC
1/2 AB = 46 Multiply both sides by 2
AB = 2*46
AB = 92
Higure to answer the question.
8 cm
8 cm
5 cm
1 cm
8 cm
5 cm
What is the volume of the figure? Enter the answer in the box.
cubic centimeters
Answer:
35cm
Step-by-step explanation:
The volume of the figure is sum of the two individual cuboids which is
164 cm³.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
The total volume of the given figure would be the sum of the two cuboids
which is,
= (5×5×8) + (8×8×1) cm³.
= 200 + 64 cm³.
= 264 cm³.
So, The volume of the figure is 264 cm³.
learn more about cuboids here :
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Ralph makes $6.50 per hour plus about $10 in commission at his job. Tom makes $6.15 per hour plus about $15 in commission at his job. Which system of equations matches this situation, if x represents the number of hours worked, and y represent total pay?
a) y=6.50x+15
y=6.15x+10
b) y=10x+6.50
y=15x+6.15
c) y=6.50x+10
y=6.15x+15
d) y=6.50x+10
6.15x+y=15
Answer:c
Step-by-step explanation:
HURRY PLEASE IM TIMED AND THIS IS IMPORTANT. Which list of numbers is shown on the number line below?
A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2.
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Negative 2.5, negative 1 and one-third, 50 percent, 1.5
Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5
Negative 2.5, negative 1 and one-third, 25 percent, 1.5
Answer:
D.
Step-by-step explanation:
Answer:
this person is right the answer is D
Step-by-step explanation:
have a good day good luck on the test
edg 2022
2 (x + 1) = -2 what is x
Answer:
x=-2
Step-by-step explanation: