Answer:
\(T_9 = 46.118408\)
Step-by-step explanation:
Given
800, 560, 392, ...
Required
Determine the 8th term
The above sequence shows a geometric sequence and the nth term is calculated by:
\(T_n = a * r^{n-1\)
r is calculated by:
\(r = \frac{T_2}{T_1}\)
\(r = \frac{560}{800}\)
\(r = 0.7\)
\(a = 800\) --- First term
\(n = 9\)
So:
\(T_n = a * r^{n-1}\)
\(T_9 = 800 * 0.7^{9-1\)
\(T_9 = 800 * 0.7^8\)
\(T_9 = 46.118408\)
5. Find x.
Trapezoids Worksheet
Answer:
(1/2)(x + 4 + 100) = 3x
x + 104 = 6x
5x = 104, so x = 20.8
30 POINTS PLEASE HELP Solve 2 (e)^3t =10 for t. Round to three decimal places
Answer:
jjk
Step-by-step explanation:
,,45
f(x)=x^2. What is g(x)?
Answer:
D, g(x) = 1/4 x^2
Step-by-step explanation:
You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.
For her end of year party Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit and Brand B contains 12% fruit juice. What percent of the mixture is fruit juice?
A. 30%
B. 28%
C. 20%
D. 32%
Answer:
B. 28%
Step-by-step explanation:
You want to know the percent of the mixture that is fruit juice, if the mixture is 6 L of 52% juice and 9 L of 12% juice.
JuiceThe total amount of juice in the 6+9 = 15 L of mix is ...
0.52·(6 L) +0.12(9 L) = 3.12 L +1.08 L = 4.2 L
Then the fraction of the mix that is fruit juice is ...
(4.2 L)/(15 L) = 0.28 = 28%
The percent of the mixture that is fruit juice is 28%, choice B.
__
Additional comment
Effectively, the fraction is the weighted average of the fractions of the constituents. The weights are the number of liters of each constituent.
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Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
100 Points
Emily wants to buy turquoise stones on her trip to New Mexico to give to at least 4 of her friends. The gift shop sells small stones for $4 and large stones for $6, and Emily has no more than $30 to spend.
Write and graph a system of Linear Equations and write two possible solutions.
Answer:
Step-by-step explanation:
what is she going to buy? Small stones or big stones? if its small stones then she can buy 7 small stones. If its big stones then she can buy 5 big stones.
Which figure can be formed from the net?
__________________________________
(Reporting any spams/wrong answers)
(Giving brainliest to correct answer)
___________________________
Answer:
C
Step-by-step explanation:
For these types of problems, its important that we focus on the base as well as the lengths of the base and any other given lengths.
Here, the net has a base that forms a square with side lengths of 8mm.
So automatically, we can eliminate choices a and d as both have a base that is a triangle rather than a square.
We've also noticed that the base has a length of 8mm
If we look at B and C closely, we can tell that B has base lengths of 10mm while C has base lengths of 8mm.
So C is the correct answer choice.
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There is 42,000 litres of water in the lake this year. Find the water in the lake, a year ago if the
water of the lake is decreased by 30% every year.
Answer:
60,000 liters
Step-by-step explanation:
30% of 60000 = 18000
60000 - 18000 = 42000
Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
The percentile of 6.2 in the given data set is 40%.
To determine the percentile of 6.2 in the given data set, we can use the following steps:
Arrange the data set in ascending order:
4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2
Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.
Calculate the percentile using the formula:
Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100
In this case, the percentile of 6.2 can be calculated as:
Percentile = (4 / 10) × 100 = 40%
The percentile of 6.2 in the sample data set is therefore 40%.
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which of the following is the most biased type of sample?
a. random sample
b. convenience sample
c. systematic sample
pls answer
The most biased type of sample among the three options is the b. convenience sample. therefore, option b. convenience sample.
A convenience sample is a non-random sample in which participants are selected based on their easy availability or accessibility.
This type of sampling technique often leads to a biased sample because it may not represent the entire population and may only include individuals who are easily accessible or willing to participate.
On the other hand, a random sample is a type of sampling technique in which every member of the population has an equal chance of being selected, which reduces the risk of bias.
A systematic sample is also a type of probability sampling in which members of the population are selected at regular intervals, which can help to reduce some types of biases.
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3/8 + 1/4 + 1/2 - 2/3 =
Answer:
\(\frac{11}{24}\)
Step-by-step explanation:
3/8 + 1/4 + 1/2 - 2/3
- > 1/4 = 2/8
3/8 + 2/8 + 1/2 - 2/3
5/8 + 1/2 - 2/3
- > 1/2 = 4/8
5/8 + 4/8 - 2/3
9/8 - 2/3
- > LCM of 8,3: 24
- > 9/8 = 27/24
- > 2/3 = 16/24
27/24 - 16/24
11/24
Hope this helps you.
Given f(x) = 2x2 − 3x + 7, find f(2.5)
Answer:
12
Step-by-step explanation:
Given that,
f(x) = 2x² - 3x + 7
To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.
Let us solve it now.
f(2.5) = 2(2.5)² - 3×2.5 + 7
f(2.5) = 12.5 - 7.5 + 7
f(2.5) = 12
Answer:
\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)
f(2.5) = 12 is the right answer.What are the values of the interior angles?
Round each angle to the nearest degree.
A) m∠X = 131º, m∠Y = 16º, m∠Z = 33º
B) m∠X = 120º, m∠Y = 15º, m∠Z = 30º
C) m∠X = 145º, m∠Y = 18º, m∠Z = 36º
We can see here the values of the interior angles will be: A) m∠X = 131º, m∠Y = 16º, m∠Z = 33º.
What is interior angle?An interior angle is an angle created between two adjacent sides of a polygon. To put it another way, it is the angle created by two polygonal sides that have a shared vertex.
Sum of interior angles of a triangle = 180°
\(2p + \frac{1}{4} p + \frac{1}{2} p = 180\)
11p/4 = 180°
p = 720°/11
m∠X = 2p = 2 × 720°/11 = 130.9 ≈ 131°
m∠Y = \(\frac{1}{4} p\) = 1/4 × 720°/11 = 16.3 ≈ 16°
m∠Z = \(\frac{1}{2} p\) = 1/2 × 720°/11 = 32.7 ≈ 33°
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Graph the line passing through (2,-5)whose slope is m=1/2
9514 1404 393
Answer:
see attached
Step-by-step explanation:
If you're graphing by hand, plot the point (2, -5), then draw a line through it with a slope of +1/2. Such a line will have a rise of 1 unit for each run of 2 units to the right. That is, (2, -5) +(1, 2) = (3, -4) will be another point on the line. You can draw the line through these two points.
__
When you are given a point and a slope, it is convenient to know the point-slope form of the equation of a line:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, the equation can be ...
y -(-5) = (1/2)(x -2)
y +5 = (1/2)(x -2)
A graphing calculator can draw the graph of this very nicely.
SOMEONE HELP !!! Please
Solve x² + 4x = 4 for x by completing the square.
Ox= -4
Ox=0
Ox=± √8+2
Ox=± √8-2
Answer:
x = ± \(\sqrt{8}\) - 2
Step-by-step explanation:
x² + 4x = 4
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4
(x + 2)² = 8 ( take square root of both sides )
x + 2 = ± \(\sqrt{8}\) ( subtract 2 from both sides )
x = ± \(\sqrt{8}\) - 2
The couple together earn $110,000. The husband earns $15,000 less than three times what his wife earns. What does the wife earn?
Answer:
The wife earns $95,000.
man they save up they can get a Rolls-Royce i wonder what there job is cause i want it. lol PLS GIVE ME BRAINLIEST
Graph the point on the graph.
Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer:
Info down in Explaination
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
center (-4, -7), tangent to x = 2
Answer:
(x + 4)^2 + (y + 7)^2 = 36
Step-by-step explanation:
The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.
The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:
d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)
In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:
d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)
d = |-6| / sqrt(1)
d = 6
Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values we have found, we get:
(x + 4)^2 + (y + 7)^2 = 36
This is the equation of the circle that satisfies the given conditions.
Find the area of a circle with a diameter of 15 feet
Answer:
15\(\pi\)
Step-by-step explanation:
with diameter
A=\(\pi\)d
A=\(\pi\)(15)
A=15\(\pi\)
A firm makes two products X and Y, and has a total production capacity of 9 tones per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company. Each tone of X requires 20 machine hours of production time and each tone of Y requires 50 machine hours of production time. The daily maximum possible number of machine hour is 360. All the firm’s output can be sold, and the profit made is birr 80 per tone of X and birr 20 per tone of Y. it is required to determine the production schedule for maximum profit.
The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960
How to solve Linear Programming problems?We are told that two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity
The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.
Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;
x + y ≤ 9
x ≥ 2
y ≥ 3
Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;
20x + 50y ≤ 360
Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;
Z = 80x + 120y maximize
The solution from the graph attached is;
x = 3, y = 6
Thus, the maximum profit is;
Z = 80(3) + 120(6)
Z = 960
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•Taylorann Johnson 3/6/23 3td pero For each parabola, label all parts on the curve. Circle if it is a max or a min. Fill in the points or lines. 1 Name 1. y = x² Opens up or down? Positive Vertex (0.0) Max/Min Axis of Symmetry: x=__ y-intercept (,0) x-intercept(s) or the zeros ( ) [ Parabola Review Domain: (0₁2) Range: (1,8)
For the given parabola, the parts on the curve should be labeled as follows;
The parabola with the equation y = x² opens up.The vertex of the parabola are (0, 0).The max/min value are equal to (0, 0).The axis of symmetry is x = 0.The y-intercept is equal to (0, 0).The x-intercept or the zeros is (0, 0).The domain is equal to (-∞, ∞).The range is equal to (0, ∞).How to calculate the vertex and axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:
Axis of symmetry, Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = y = x², we have the following:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(0)/2(1)
Axis of symmetry, Xmax = 0/1 = 0.
Vertex (h, k) = (0, 0).
In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.
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Which of the following is the domain of the function based on the input-output table below?
Answer:
the domain is the input or the x value, while the range consists of y values or the output of an input output table.
Step-by-step explanation:
I need to know what is (2x6) divide (2+1)
Answer:
4
Step-by-step explanation:
(2X6) divided by (2+1)
12 divided by 3
=4
The diameter of an ancient chariot is wheel is 2 meters what is the approximate distance the chariots travel if the wheel rotates 120 times
Hey there!
Answer:
240π or 753.6 meters traveled.
Step-by-step explanation:
To solve this problem, first solve for the circumference of the wheel:
C = dπ
C = 2π or ≈6.28 m.
If the wheel rotates 120, then:
D = 2π × 120 = 240π
or
D = 6.28 × 120 = 753.6 m traveled.
lupita and kevin walk to school.lupita walks 3/5 mi.kevin walks 0.65 mi.who walks a greater distance to school?how much greater?
Answer:
0.05
Step-by-step explana
Factor the expression.
9x + 21
PLEASE HELP ME BRO
Answer:
3(3x+7)
Step-by-step explanation:
helppppppppppppppp me
Answer:
I think it is A hope this helps
Step-by-step explanation:
6 / 29(1+2) is What??
Answer:5
Step-by-step explanation:
If you can do your homework at a rate of 2.6 minutes for every problem, how many problems could be done after 1.78 hours? Round to a whole number.
Answer:
41
Step-by-step explanation: