Which function can be used to represent the graphed geometric sequence?
f(x) = 80(One-fourth) Superscript x minus 1
f(x) = 320(One-fourth) Superscript x minus 1
f(x) = 80(4)x – 1
f(x) = 320(4)x – 1
Answer:
A) 80(One-fourth) Superscript x minus 1
Step-by-step explanation:
Used the table function on my calculator. 1/4 of 80 is 20 and 1/4 of 20 is 5. f(1) = 80 f(2) = 20 f(3) = 5 and so on. Hope that made sense!
Answer:
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]
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
given the points (1, 80 ) , (2, 20 ) , (3, 5 )
then
x | 1 2 3
y | 80 20 5
with a₁ = 80 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{80}[/tex] = [tex]\frac{1}{4}[/tex] , then
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]
For the function f(x) = −3x + 1, what is the value of f −1(x) for x = 4?
Answer:
-1
Step-by-step explanation:
inverse is -(x-1)/3
-(4-1)/3 is -1
What is the distance between -4 and -14?
Answer:
the distance between -4 and -14 is 10
Step-by-step explanation:
they both as negative numbers
Distance = 10
Step-by-step explanation:⇒ Distance = Larger integer - Smaller integer
In this case, the larger integer is -4 and the smaller integer is -14. Keep in mind that if two integers are negative, the integer that is closest to 0 is greater than the other integer.
⇒ Distance = (-4) - (-14)
Simplify the expression on the R.H.S:
⇒ Distance = -4 + 14 [-1 x -1 = 1]
⇒ Distance = 10
The volume of Solid A is 28m^3 and the volume of solid B is 1,792m^3. If the solids are similar what is the ratio of the surface are of solid A to the surface area of solid B
The ratio of the surface area of solid A to the surface area of solid B is 1/64
How to calculate the ratio of similar shapesThe volume is the amount of substance an object contains
Given the following parameters
Volume of solid A = 28m^3
Volume of solid B = 1,792m^3.
Calculate the ratio of the surface areaRatio = A/B
Ratio = 28/1792
Ratio = 1/64
Hence the ratio of the surface area of solid A to the surface area of solid B is 1/64
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Paula makes two slices through a three-dimensional object. One plane is
parallel to the base; the cross-section is a circle. The other plane is
perpendicular to the base; the cross-section is atriangle. What three-
dimensional shape did Paula cut?
• A. Rectangular prism
O B. Cone
O C. Cube
• D. Cylinder
The answer to your question that you asked is cone or B
Write the equation of the line that passes through (9, 5) and (7, 6) in slope-intercept form.
Answer:
y = -1/2x + 19/2
Step-by-step explanation:
Hi there!
We are given the points (9,5) and (7,6)
We want to write an equation of the line that contains these two points, in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid any confusion.
[tex]x_1=9\\y_1=5\\x_2=7\\y_2=6[/tex]
Now substitute these values into the formula to find the slope
m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{6-5}{7-9}[/tex]
Subtract
m=[tex]\frac{1}{-2}[/tex]
m=-1/2
The slope of the line is -1/2
We can substitute this as m into the formula for slope-intercept form:
y = -1/2x + b
Now we need to find b
As the equation passes through (9, 5) and (7, 6), we can use either one to solve for b
Taking (7, 6) for example:
Substitute 7 as x and 6 as y into the equation
6 = -1/2(7) + b
Multiply
6 = -7/2 + b
Add 7/2 to both sides
19/2 = b
substitute 19/2 as b:
y = -1/2x + 19/2
Hope this helps!
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Answer number 10 please thank you
8%
have a lovely day/afternoon/night!! <3
What’s this answer please?
answer:
157.08 square cm (when rounded to hundredths)
unrounded - 157.0796327
If 30% of a number equals to 25 what is 60% of that number
Answer:
50
Step-by-step explanation:
25*2
60% is double 30% so 60% of the number would be 50
Please help me with this problem! (Scam answers will be reported)
Answer:
C looks good. if u have 2 attempts and c wrong it has to be B
A password is 4 characters long, consisting of 2 letters and 2 numbers. the password must begin and end with a letter. if numbers can be repeated but letters cannot, how many possibilities are there? a. 65,000 b. 60,840 c. 58,500 d. 52,650 please select the best answer from the choices provided. a b c d
The question is an illustration of arrangements, and the number of possibilities of the password is 65000
How to determine the number of possibilities?The length of the password is:
Length = 4
If the password begins and ends with a letter and cannot be repeated, then the possibilities are:
First = 26
Last = 25
If the password contains numbers that can be repeated, then the possibilities are:
Number 1 = 10
Number 2 = 10
So, the number of possibilities is:
Possibilities = 26 * 10 * 10 * 25
Evaluate the product
Possibilities = 65000
Hence, there are 65000 possibilities of a 4 character password
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Gary is using 96 1 cm cubes to build a rectangular prism he wants the rectangular prisms have a height of 6 cm which of these shows dimensions Garrett cannot you
The dimension Garet must not use to construct the rectangular prism is 10 cm × 2 cm × 6 cm.
He is using 96 1cm cubes to build a rectangular prism . He wants the rectangular prism to have a height of 6 cm.
Volume of a cube?volume of a cube = l³
where
l = side lengthTherefore, each volume of the cube is as follows:
volume of cube = 1³ = 1 cm³
The total volume of the whole 96 cubes = 96 cm³
Therefore, the volume of the rectangular prism should be the same with the volume of the whole cubes. But must have a height of 6cm.
Hence, the dimension that Garret must not use is 10 cm × 2 cm × 6 cm.
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A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78
The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
In the given problem,
A consumer charges a P, $2,530.16 purchase on a credit card. The card has a daily interest rate r of 0.042%. The balance is paid off at the end of 30 days. Thus the time t is 30.Put these values in the above formula as,
[tex]A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24[/tex]
The interest amount paid is,
[tex]I=A-P\\I=2562.24-2530.16\\I=32.08[/tex]
Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
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Answer:
The correct answer is C
Step-by-step explanation:
please help, i would really appreciate your help
Answer:
x = 7
Step-by-step explanation:
Since the lines are parallel, we know that the two angles are equal. So you can write (7x - 4) = (5x + 10). Then you just solve for x.
7x - 4 = 5x + 10
add 4 from both sides to get
7x = 5x + 14
subtract 5x from both sides to get
2x = 14
divide both sides by 2 to get
x = 7
Corresponding angles are Same
7x-4=5x+107x-5x=10+42x=14x=14/2x=70.905 x 0.234 how do you multiply this? working it out without the decimals then adding the decimal back doesn't give me the correct answer.
mr.spencer has 7 1/5 liters of juice he wants to pour equal amounts of juice into 3 punch bowls how many liters of juice should he pour in each bowl?
Answer:
2.4
Step-by-step explanation:
1/5=0.2
7.2/3=2.4
The base of a merry-go-round spans an area of about 153.88 square meters What is the radius of
the merry-go-round?
Nysean says the radius of the merry-go-round is 14 meters. Do you agree or disagree? Explain.
Answer:
Disagree
radius = 7 m
diameter = 14 m
Step-by-step explanation:
Formula
[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]
Given:
area = 153.88 m²Substitute given value into the formula and solve for r:
[tex]\sf \implies \pi r^2=153.88[/tex]
[tex]\sf \implies r^2=\dfrac{153.88}{\pi}[/tex]
[tex]\sf \implies r=\sqrt{\dfrac{153.88}{\pi}}[/tex]
[tex]\sf \implies r=6.998680253[/tex]
Therefore r ≈ 7 m
So I disagree with Nysean, as from my calculations, the approximate radius of the merry-go-round is 7 m.
Diameter = 2r
⇒ diameter of merry-go-round = 2 x 7 = 14m
So Nysean has actually given the approximate measure of the diameter rather than the radius.
Pls help !!!
No links pls and ty<3
Answer:
that would be 700ft^2
Step-by-step explanation:
The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2
Two triangles make 1 rectangle with area 17 × 12 = 102ft^2
Add them all up 700ft^2
Answer:
that would be 700ft^2
Step-by-step explanation:
The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2
Two triangles make 1 rectangle with area 17 × 12 = 102ft^2
Add them all up 700ft^2
A credit card company is collecting data for their end of the year review. The chart below shows the interest change for the year that they will use to market to new customers.
What is the mean interest change for the year? Group of answer choices
A. 20%
B. 5%
C. 2%
D. 4%
the answer of the year is 20%
Monica made this object from snap cubes. Monica made 9 more objects just like this one. she laid them one next to the other to form a square. Monica said she could use the square to write a percent and a decimal for 6/10 and for 4/10. is she correct?
The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.
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#SPJ1
Please hurry!!! Thank you to whoever answers this!! Love yaaa
Answer: The dimensions of the builder's scale drawing is 40 x 32 inches.
Step-by-step explanation:
The scale factor of Karl = 1:12
Dimensions = 10 x 8 inches
Area = 80 square inches
1:12 = 1/12
1/12 = 80/a
a = 80 x 12
a = 960 square inches
So dimensions are 120 x 96 inches
Builders scale factor = 1:3
Actual Length = 120inches
Actual width = 96 inches
Builders drawing length = 120/3
= 40 inches
Builders drawing width = 96/3
= 32 inches
Let's say you want to know how many pages your 10 favorite books have. After checking
your bookshelf, you could simply write down the numbers in a list. But when data is written
as a list of numbers, it can be difficult to make sense of the information. Which book is the
longest, and which is the shortest? Which book is right in the middle?
Showing data visually can help you understand the information you collected. You could
make a bar graph, which would make it easy to see the smallest and largest values of the
data set. But a box plot, often called a box and whisker plot, gives you even more
information than a bar graph. With a box and whisker plot, you can clearly see the smallest
value, the largest value and the median, or the middle value of all the data. You can also see
the interquartile range, or the middle 50 percent of the data.
RDS
ME
According to the passage, why might one choose to use a box and whisker plot instead
of a bar graph?
A
A box and whisker plot shows less information than a bar graph.
B
A box and whisker plot shows more information than a bar graph.
с
Box and whisker plots show data visually, but bar graphs do not.
D
Box and whisker plots have nothing in common with bar graphs.
Considering that we want to find a measure of center of the number of pages in the books, the correct option is:
B A box and whisker plot shows more information than a bar graph.
When to use a bar graph and a box and whisker plot?It we are interest in the extremes of the distribution, that is, the smallest and largest amounts, we use a bar graph.If we are interested in the central measures of the distribution, we use a box and whisker plot, as it contains more information.In this problem, we want to find the average number of pages in the books, which is a measure of center, hence option B is correct.
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true or false if two half planes never intersect, then their system of inqeualities has no solution
Answer:
True
Step-by-step explanation:
If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion
Answer:
its false
Step-by-step explanation:
(please help me)
Amelie spins the following spinner, which has 10 equally sized spaces numbered 1 through 10. The numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green.
A spinner as described in the text.
What is the probability that Amelie spins either an odd number or a red number?
Enter your answer as a reduced fraction, like this: 3/14
The probability Amelie spins either an odd number or a red number is:
P = 4/5
How to find the probability?
We want to find the probability of spinning a red or odd number, this is equal to the quotient between the number of odd numbers + the number of red numbers and the total number of numbers in the spinner.
We know that there are 10 numbers in the spinner.2, 4, and 6 are red, so we have 3 red numbers.1, 3, 5, 7, and 9, are odd, so we have 5 odd numbers.Then there are 5 + 3 = 8 numbers that are either red or odd, and a total of 10 numbers, this means that the probability of spinning an odd number or a red number is:
P = 8/10 = 4/5
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constant term of this
how do you know the order in P.E.M.D.A.S
Answer:
Paranthesis, Exponents, Multipilication, Division, Addition, Subtraction
Step-by-step explanation:
The way I learned it was by saying a phrase that goes like, "Please Excuse My Dear Aunt Sally". I repeated this many times and it got stuck in my mind ever since.
Find the slope of the line through the points (4, -1) and (-2, -1).
The slope is
Answer:
0
Step-by-step explanation:
use a slope calculator
Solve by factoring
3v^2-10v+3=
[tex]3v^2-10v+3=0\\\\\implies 3v^2 - 9v-v +3=0\\ \\\implies 3v(v-3)-(v-3)=0\\\\\implies (v-3)(3v-1)=0\\\\\implies v = 3,~~v=\dfrac 13[/tex]
what is the percent change from 18 to 26
Answer:
44.44%
Step-by-step explanation:
Help
Two walls are 15 feet apart. Two ladders, one
25 feet long and one 18 feet long, are placed at
the bottoms of the walls leaning against the
opposite walls. How far from the ground is the
point where the two ladders cross?
Answer:
im in 6° but it's a computer so I can't tell