A geometrical series have a constant ratio. The value of r is 4, while the value of a1 is 0.25 and the value of n is 5.
What is geometrical series?A geometrical series is a series of numbers where the quotient of any two consecutive terms of the series is constant.
The given series is a geometrical series which is given as, 0.25, 1, 4, 16, 64.
Now the value of r is the ratio of any two consecutive terms of the geometrical series therefore, the value of r can be written as,
[tex]r = \dfrac{1}{0.25}=4[/tex]
The a1 of a geometrical series is the first term of the series, therefore, the value of a1 can be written as,
a1 = 0.25
The n is the number of terms in a geometrical series, therefore, the value of n can be written as
n = 5
Hence, the value of r is 4, while the value of a1 is 0.25 and the value of n is 5.
Learn more about Geometrical Sequence:
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Answer:
r = 4
a1 = 0.25
n = 5
b for the last 2
Step-by-step explanation:
Help asap!!! NO LINKS PLS!!
18
Solution:First, evaluate 2^3, which equals 8.Next, evaluate 4^2, which equals 16.This is the simplified expression:3/4(8+16)3/4(24)Multiply:18Hope it helps.
Do comment if you have any query.
Manuel works out at the gym 2 days each week for 3/4 hour each day
how many hours does manuel work out each week?
2 x 3/4 =
Answer:
1.5, so an hour and thirty minutes
Step-by-step explanation:
Simplify 3/4 as 0.75. 0.75 times 2 is 1.5.
BRAINLIESTTTTTTTTTTTTTTTTTTTTTTTTTTtt
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y= 22 + 3
y = -3.2 + 3
2=
y =
y
Answer:
Step-by-step explanation:
y=2x+3
y=-3x+3
**This is what's on the image.**
You need to aline the two together.
2x+3 = -3x+3
Add 3x both sides
3x+2x+3=3
5x+3=3
Now subtract 3 from both sides
5x=3-3
x= 0
This should be a vertical line from (0,0) to above since there is no slope you should have a straight line that is vertical.
The sum of two numbers is 122. The difference of the first number and twice the second number is 23. Find the two numbers.
Answer:
One is 89 , the other is 33.
Step-by-step explanation:
Set up a system of 2 equations:
x + y = 122
x - 2y = 23 Subtracting:
0 + 3y = 99
y = 33.
So:
x + 33 = 122
x = 122 -33 = 89.
Answer:
first number= 89 and second number= 33
Step-by-step explanation:
here, let the first number be X and the second number be y,then
From the question,
x + y = 122 ---- eq i
x -2y = 23 ----- eq ii
From substitution method,
From eq i,
x + y = 122
or, x =122 - y
Now, putting the vale of x in eq ii,we get,
122 -y -2y = 23
or, -3y = 23-122
or, -3y = -99 (cut minus sign in both sides)
or, y=99/3
or, y = 33
Again, putting the value of y in eq i,we get,
x + 33 = 122
or, x= 122-33
or, x=89
A beach toy in the shape of a pyramid has a rectangular base with dimensions of 4 inches by 12 inches. The height of the rectangular pyramid is 10 inches.
How many cubic inches of sand is needed to fill the beach toy?
Enter your answer in the box.
Question 1 options:
The amount of sand needed = volume of rectangular pyramid = 160 cubic inches of sand.
What is the Volume of a Rectangular Pyramid?Volume of rectangular pyramid = 1/3(base area × height of pyramid)
Given the following:
Base area of the pyramid = 4 in. × 12 in. = 48 in.²Height = 10 in.Amount of sand needed to fill each beach toy = Volume of rectangular pyramid = 1/3(48 × 10) = 160 cubic inches of sand.
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The top of a building is 65 meters away from a spot located 16 meters away from the foot of the building what is the height of the building
Answer:
81
Step-by-step explanation:
65 meters plus the 16 is 81
Answer:
Step-by-step explanation:
AB represent the building. C represents the spot
The building forms right angle with the ground.
BC will be the hypotenuse and AB, AC are the legs
Use Pythagorean theorem,
AB² + AC² = BC²
AB² + 16² = 65²
AB² + 256 = 4225
AB² = 4225 - 256
= 3969
[tex]AB = \sqrt{3969} =\sqrt{63*63}[/tex]
AB = 63 m
height of the building = 63 m
Given the following graph, define a) the vertex, b) the intercepts, c) the axis of symmetry, and the sign of the lead coefficient.
Answer:
Option D is correct
[tex]Slope[/tex] [tex]of[/tex] [tex]AC=Slope[/tex] [tex]of[/tex] [tex]DF[/tex]
Step-by-step explanation:
Given:
1.
ΔABC and ΔDEF are similar
Property of similar states that corresponding sides are in proportion.
2.
[tex]\frac{BC}{EF}=\frac{AB}{DE}[/tex] [By property of similar triangles]
Property of proportions allows you to cross multiply the equation.
then;
3.
[tex]\frac{AB}{BC}=\frac{DE}{EF}[/tex] [Property of proportion]
Definition of slope: Slope is described as the steepness and direction of line.
then by definition of slope;
4.
[tex]Slope[/tex] [tex]of[/tex] [tex]AC=\frac{BC}{AB}[/tex]
5.
[tex]Slope[/tex] [tex]of[/tex] [tex]DF=\frac{EF}{DE}[/tex]
6.
Substitution property of equality states that:
If a = b then a can be substituted in place of b in any equation or vice-versa.
then;
[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]
Therefore, the missing step in 6 we get,
[tex]Slope[/tex] [tex]of[/tex] [tex]AC= Slope[/tex] [tex]of[/tex] [tex]DF[/tex]
Question 4 of 10
What is the probability that a data value in a normal distribution is between a
z-score of -0.28 and a z-score of 0.642 Round your answer to the nearest
tenth of a percent.
O A. 34.9%
O B. 73.3%
O c. 58.1%
O D. 90.9%
SUBIRI
2(x+4)>-12 I can’t figure it out
Answer:
x > -12
Step-by-step explanation:
Think of X as 1, so its kinda like 1x, so (1x+4=5x). Times the 2, = 10x.
1. X + 4 = 5x
2. 5x · 2 = 10x
3. Place the variables, X > -12
Answer: X > -12
The equation y = 8x 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. use this information to describe how to draw the line on a graph.
Answer:
Use points (0,12) and (1,20) on graphing paper or a program to find final answer.
Step-by-step explanation:
In the problem, I was unable to understand the equation so I am presuming the equation actually means y=8x+12
Whenever you graph a Linear Function you always need two points. The first point is always easy to acquire.
You can plug in any value for x, which will be your x cordinate and the output (solution) of the equation will be you y cordinate.
I'm plugging in 0 for X first.
y=8x+12
y=8(0) +12
y=12
We have our first point as (0,12)
Now you can plug in any other number for X other then Zero.
I choose 1 this time for X.
y=8x+12
y=8(1)+12
y=8+12
y=20
We now have our second point (1,20). Two points will be enough to graph this graph, you can graph these two points and then draw a line if on paper or use an application and get the line that way.
Answer:
Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.
Step-by-step explanation:
got it right
I am greater than -4 and less than 12. I am a multiple of 10. What number am I?
Answer:
I believe it is 10!
Step-by-step explanation:
The multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 and so on.
The only multiple between -4 and 12 is 10!
Hope this helps!!!!
Find the area of the shaded region, if the height of the parallelogram is 41 units.
PLS HELP! WILL MARK BRAINLIEST AND GIVE LOTS OF POINTS!!
7/2 inches by 3/2 inches?
Answer:
5.25 inches or [tex]5 \frac{1}{4}[/tex] inches
Step-by-step explanation:
I believe that the question is what do they multiply to..? If so, we start by making them both in decimal form:
7 / 2 = 3.5
3 / 2 = 1.5
Now, we multiply:
3.5 * 1.5 = 5.25
If you want fraction form, we can turn .25 to 1/4.
Fraction form: [tex]5 \frac{1}{4}[/tex]
A candelabra holds 5 identical cylindrical candles, each with a diameter of 6 centimeters and a height of 9 centimeters. How many cubic centimeters of wax are in all the candles on the candelabra combined?
Answer:
Step-by-step explanation:
one candle volume = area of base (circle) × height
V=r²πh
V=6²×π×9
=36cm²×π×9cm²
=351π cm³
≈1017.36 cm³
then multiply by 5 because there are 5 candles
= 5×351π cm³ = 1755 cm³
≈ 5510.7 cm³
A fabric company can produce 10,200 yards of fabric per year currently. The company's goal is to increase the amount of
fabric it can produce by 450 yards each year. If the company meets its goal, how many total yards of fabric will it have
produced after 9 years?
(WILL MARK BRAINLIST)
Write an inequality to represent the graph.
у
-5
4
3
(0, 2)
2 1
x
x
-5 -4 -3 -2 -1 0
-1
2
4 5 6 7 8 9 10
(4,-1)
-2
-3
-4
-51
-6
-7
-8
-9
-Previous Question
Question 1 (Answered)
Simplify the expression. Write your answer as a power.
Answer:
Step-by-step explanation:
8 with an exponet of 30 over 8 with an exponent of 8 ( aka ) 240/64
The symbol for a radioactive nuclide is superscript 210 subscript 84 upper p o.. which statement is correct? the atomic number of the radioactive nuclide is 210. the mass number of the radioactive nuclide is 294. the number of neutrons present in the nucleus of each atom is 126. the number of protons present in the nucleus of each atom is 210.
The correct statement for the symbol of a radioactive nuclide is the number of neutrons present in the nucleus of each atom is 126.
What is radioactive nuclide?Radioactive nuclide or radioisotope is a different species of chemical element which have a similar mass.
These elements have unstable nuclei, which waste energy by emitting radiation such as alpha, and beta-gamma rays.
Thus, the correct option is C, the number of neutrons present in the nucleus of each atom is 126.
Learn more about radioactive nuclide
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Answer:
c
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Solve 3(2x - 3) = 15. Explain ALL steps.
Answer:
x=4
Step-by-step explanation:
distributive property goes first.
you get 6x-9=15
add 9 on both sides so 9 cancells out on the left side.
you get 6x=24
divide by 6 and you get x=4
what is the name of the shape
Answer:
triangular prism
Step-by-step explanation:
Have a great day!
Super Sandwiches offers 4 kinds of breads, 3 kinds of meats, 5 cheeses, and 7 dressings for a sandwich. How many possible combinations would there be for making a sandwich
Answer:
19
Step-by-step explanation:
Answer:
420
Step-by-step explanation:
a dozen oranges cost 12 pesos so how much do 60 oranges cost
A square pyramid is 6.3 in by 4 in by 4 in what is the surface area of the pyramid
Answer:
32.2 square feet
Can someone step by step turn 3y-9x=-81 into slope-intercept form!???
To turn something into the slope-intercept form
⇒ must know the slope-intercept form ⇒ [tex]y = mx +b[/tex]
m: the value of the slopeb: y-interceptTo convert our current form into slope-intercept form
⇒ must solve for 'y'
⇒ (in other words) move everything to one side and 'y' by itself on the
other
[tex]3y - 9x = -81\\3y =9x-81\\y = 3x - 27[/tex]
*purely extra information (not necessary for final answer)
slope is 3y-intercept is -27Slope-intercept form: y = 3x - 27
Hope that helps!
At the beginning of the year, Mrs. Wilkinson's class had 19 packages of colored paper. So far, the class has used 401 pieces of colored paper.
If each package of colored paper contained 75 pieces, how many pieces of colored paper does the class have left?
I need help
Answer:
1024 pages left
Step-by-step explanation:
19 pack * 75 page/pack - 401 page =
answers needed asap, assignment is due 29, april 2022
Answer:
The answer is 3
Step-by-step explanation:
Answer:
The unit rate would be 3 dollars per pound!
Jean estimates that her friend completes a new level of a video game on the first try 20% of the time. She conducts a simulation to predict how many times out of 80 her friend would complete a new level on the first try. Jean uses a random number generator. Every digit that is 8 or 9 represents completing the level. Examine the table.
The probability of the friend completing the new level in her first try is 22.5%
What is probability?This is a concept that is used to talk about the likelihood or the chances of an event occuring.
For the digit 8, the frequency is 7
For the digit 9, the frequency is 11
The total number of frequencies is given as
10 + 9 + 6+ 7 + 8 + 12 + 4 + 6 + 7 + 11 = 80
7 + 11 = 18
Probability = 18/80
= 0.225 x 100
= 22.5%
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Is Figure B a scale copy of Figure A?
Figure B
Figure A
Answer:
yes, if this is the answer you're looking for
Step-by-step explanation:
Yes. The scale factor is 1/2 or Divide by 2
a shipment to a warehouse consists of 4,000 MP3 players. The manager chooses a random sample of 50 MP3 players and finds 4 that are defective. How many MP3 players in the shipment are likely to be defective?
Answer:
320
Step-by-step explanation:
Answer:
320 MP3 players
Step-by-step explanation:
4/50 MP3 players are defective
Multiply by 80 to get the whole shipment
4/50 x 80 = 320/4000