Step-by-step explanation:
the lebgth to form the right angle is e9
The second term of a
geometric sequence is 30 and
the common ratio of the
sequence is 2.
Write down a formula for the
nth term of the sequence.
Answer & Step-by-step explanation:
The formula for the nth term of a geometric sequence is given by:
an = a1 * r^(n-1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.
Given that the second term is 30 and the common ratio is 2, we can write:
a2 = a1 * r
30 = a1 * 2
a1 = 15
Therefore, the formula for the nth term of the sequence is:
an = 15 * 2^(n-1)
three ratios that are equivalent to 11:111:111, colon, 1.
Answer:
sdsadasdads121
Step-by-step explanation:
Answer:
22:222:222
33:333:333
44:444:444
Step-by-step explanation:
22:222:222
33:333:333
44:444:444
This means ratios which when reduced give us 11:111:111
HOPE THIS HELPED
Determine which function has the greatest rate of change as x approaches infinity.A). f(x) = 2x − 8B). g(x) = 5x^2 − x + 7C). h(x) = 4^x − 6D). There is not enough information to determine the answer.
We need to find the derivative which is the rate of change
\(\begin{gathered} f^{\prime}(x)=2 \\ g^{\prime}(x)=10x\text{ - }1\text{ + 7} \\ g^{\prime}(x)=10x+6 \\ h^{\prime}(x)=4 \end{gathered}\)So, when x is infinite, the function g(x) has the greatest rate of change
Solve quickly please.
Find the change between the first two sets:
12-9 = 3
14.4 - 10.8 = 3.6
3.6/3 = 1.2
Now find the change between the last two sets:
12 - -3 = 15
14.4 - 3.6 = 10.8
10.8/15 = 0.72
1.2 does not equal 0.72 so the answer is No
Guys I need help ASAP I am giving 55 points
Answer:
The answer is 80°
Step-by-step explanation:
pls give brainliest!
all angles = 360°
100+100+80=280°
360°-280°=80°
Suppose that we don't have a formula for g(x) but we know that g(2) = -1 and g'(x) = sqrt (x^2 + 5) for all x. Use a linear approximation to estimate g(1.9) and g(2.1).
Using a linear approximation, we estimate that g(1.9) ≈ -1.044 and g(2.1) ≈ -0.962.
Using a linear approximation, we can estimate the value of a function near a known point. We can use this method to estimate g(1.9) and g(2.1), given that g(2) = -1 and g'(x) = √(x² + 5) for all x.
First, we need to find the equation of the tangent line to the curve at x=2. We can do this by using the point-slope form of a line and substituting the point (2,-1) and the slope g'(2):
y - (-1) = g'(2) * (x - 2)
Simplifying, we get:
y = √(x² + 5) - 3
Using this equation, we can estimate g(1.9) and g(2.1) by plugging in those values for x:
g(1.9) ≈ √(1.9² + 5) - 3 ≈ -1.044
g(2.1) ≈ √(2.1² + 5) - 3 ≈ -0.962
Therefore, g(1.9) ≈ -1.044 and g(2.1) ≈ -0.962.
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Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
3, 5, 7, ...
Answer:
Step-by-step explanation:
This is an arithmetic series.
3 , 5 , 7 ,......
Common difference = second term - first term
= 5 - 3
= 2
Greg calculated that he had to drive at least 50 miles per hour on the highway to get his destination in the time that he has. which number line shows the solution set to this inequallity
Answer:
B
Step-by-step explanation:
Since Greg has calculated that his least or minimum speed should.be 50 miles per hour ;
Then the line starts at 50 with the starting point shaded due to the atleast notation.
Then atleast means that, Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.
Therefore, the number line which best conveys Gregg's situation is B.
i wasnt paying attention in math class and now I cant do my assignment ahh
Answer:
336m^2
Step-by-step explanation:
base x height + (side1 + side2 + Height)Length
4. Triangle ABC is similar to triangle DEF. Which proportion must be true?
The similar triangles in the question, with proportional sides indicates;
4. The proportion that must be true is the option G
G. 4/6 = 7/x
What are similar triangles?Similar triangles are triangles are triangles that have the same shape but may have different sizes.
The possible triangles in the question includes two triangles with specified side lengths AB = 6 inches, AC = 7 inches, DE = 4 inches, DF = x inches
The definition of similar triangles indicates that we get;
DE/AB = EF/BC
DF/AC = DE/AB
DF/AC = EF/BC
Therefore;
(x/7) = 4/6
The correct option which indicates the proportion that must be true, therefore is option G
G. 4/6 = x/7
Part of the question includes two triangles, please see attached diagram created with MS Excel
The possible proportions, from which to select the proportion that must be true are;
F (7/x) = (4/6)
G 4/6 = x/7
H 6/4 = x/7
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If your heart beats an average of 120 times per minute during a distance race, how many times would your heart beat during a race of 12 hours?
Answer:
I think the answer you're looking for is 86400
Step-by-step explanation:
In the figure below, if the angle is right what is the value of x?
Answer:
x = 50
Step-by-step explanation:
Since the angle is right = 90°, then
40 + x = 90 ( subtract 40 from both sides )
x = 50
Answer:
\(\boxed{\sf x = 50\ degrees}\)
Step-by-step explanation:
x = 90 - 40 [Complementary angles add up to 90 degrees]
x = 50 degrees
Sam and his cousin Matt have the same birthday, but Sam is 5 years older than Matt. Let the
variable x represent Sam’s age and y represent Matt’s age. Graph the relationship between
Sam’s age and Matt’s age.
A graph of the relationship between Sam’s age and Matt’s age has been plotted in the graph shown in the image attached below.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
In order to solve this word problem, we would assign variables to Sam and Matt's age, and then translate the word problem into algebraic equation as follows:
Let the variable x represent Sam’s age.Let the variable y represent Matt’s age.Translating the word problem into an algebraic equation, we have;
x = 5 + y
Re-arranging the algebraic equation, we have;
y = x - 5
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Please please help me with this ASAP ASAP please
Answer:
Volume: 762 in³
LA: 448 in²
SA: 544 in²
Step-by-step explanation:
So first, the volume, the formula to find the area is base x height, so we have to find the base first:
8 x 12 ÷ 2 = 48
48 x 14 = 672
So the volume of the prism is 762 in³
Now, the lateral area, which is basically the surface area without the bases, or, in this case, the triangles:
10 x 14 = 140 x 2 = 280
12 x 14 = 168
168 + 280 = 448
So the LA = 448 in²
Now, for the surface area:
12 x 8 = 96 (usually, it would then be ÷ 2, but because there are two triangles, it isn't necessary)
96 + 448 (the LA) = 544
So the SA = 544 in²
hope this is right:)
A place from this table is chosen at random. Let event A= the place is a city.
what is P(ac)
A. 3/7
B. 5/7
C. 4/7
Answer:
4/7
Step-by-step explanation:
ajsgskajsgsujavagajana ahakangssua
The probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
How to find the probability of an event?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A place from this table is chosen at random. Let event A= the place is a city.
The total number of places are 7 given in the table.There are total three places which are city. Thus, the probability of a country to be a city is,
\(P(A)=\dfrac{3}{7}\)
Now, for its complement, the probability of a place not be a city is,
\(P(A^c)=1-\dfrac{3}{7}\\P(A^c)=\dfrac{7-3}{7}\\P(A^c)=\dfrac{4}{7}\)
Thus, the probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.
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find the explicit formula for the following sequence.
15, 29, 49, 75, 107,....
Answer:
Step-by-step explanation:
We are given the sequence
\(15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0\)
Since we had to find the differences twice, it is a second degree polynomial
\(y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\\)
so,
\(y = 3n^2 + 5n + 7\)
Consider what you know about the sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases. O will be Normal in shape only if the sample size is at least 100. O will have a center equal to the population proportion, or p
O has a shape that is skewed to the right, regardless of sample size. O is a collection of the parameters of all possible samples of a particular size taken from a particular populatio
As per the sampling technique, Let us consider what you know about the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.
Here we have to find what you know about the sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.
Here for the given question, let us check all the given statements in the options
Here we know that the shape is approximately normal. Then the given option will be false.
Next, it is collection of all samples taken from the population, So the given option will be false
Now, we have to check as the sample size increases, the value of n increases. here n is the value on the denominator of the equation of standard deviation.
Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.
Then the less standard deviation means a small variance.
Therefore, as a result, as the sample size grows, the variation will be minimal.
So, the center is the same as the sample proportion p.
Therefore, this is correct.
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What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (5 points)
3.46 units
8.49 units
12.00 units
72.00 units
Please ill give brainliest!
Answer: 8.49
Step-by-step explanation:
i took the test and it was right
use the substitution method to solve the system of equations 5x-2y=9 3x+4y=-5
Answer:
(1,-2)
Step-by-step explanation:
x= 1
y= 2
(b) Problem 15: Find the rate of change for this two-variable equation. y-x = 10
The rate of change for the equation y - x = 10 is 1.
To find the rate of change for the equation y - x = 10, we need to determine how y changes with respect to x.
We can rewrite the equation as y = x + 10 by adding x to both sides.
Now, we can observe that the coefficient of x is 1. This means that for every unit increase in x, y will increase by 1. Therefore, the rate of change for this equation is 1.
In other words, as x increases by 1 unit, y will increase by 1 unit as well.
As a result, 1 represents the rate of change for the equation y - x = 10.
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Multiply. Write your answer as a fraction in simplest form. −1(−3 1/2)= need ASAP
Answer:
3 1/2
Step-by-step explanation:
simplify using only positive exponents
Answer:
8/x^3
Step-by-step explanation:
(2x^-1)^3
First, we must use the power-to-power rule to eliminate the double exponents. When a power is raised to a power, we must multiply them. This makes the exponent of x-3 and makes two into 8.
8x^-3
We can eliminate negative exponents by bringing their subject to the opposite side of the fraction line, so in this case, we bring down the x^-3 to the bottom, making it x^3. The final answer is:
8/x^3
Write an equation of the line that passes through the point (4,−3) with a slope of 3/2
Answer:
point slope form---(y-0)=3/2(x-6) y-intercept form---y=3/2x-9 standard form---- -3x+2y=-18
Step-by-step explanation:
hope it helps (:
O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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what is 12+[(14-6)/4]
Answer:
14
Step-by-step explanation:
THE ANSWER TO THE PROBLEM IS 14
what is BE in the figure
Answer:
I honestly don't understand what is being asked
Answer:
25
Step-by-step explanation:
B is second in the English alphabet and E is on the 5th positions on this same English alphabet
For a certain company, the cost function for producing x items is C(x)=50x+250 and the revenuefunction for selling x items is R(x)=-0.5(x-90)2+4,050. The maximum capacity of the company is 110items.The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost functionC(x) (how much it spends). In economic models, one typically assumes that a company wants tomaximize its profit, or at least make a profit!Assuming that the company sells all that it produces, what is the profit function?====P(x)=Hint: Profit = Revenue - CostWhat is the domain of P(x)?Hint: Does calculating P(x) make sense when x-10 or x-1,000?The company can choose to produce either 40 or 50 items. What is their profit for each case, andwhich level of production should they choose?Profit when producing 40 items=Profit when producing 50 items=Can you explain, from our model, why the company makes less profit when producing 10 more units?
First, let's calculate the Profit functions which is P(x)=R(x)-C(x)
Let's continue simplifying the function
The profit function is a polynomial function, so the domain is all the real numbers which means x can be any real number
Domain=(-∞,∞)
Calculating x=-10 doesn't make sense because x in all the functions is the number of items, and doesn't make sense to have -10 items, so x shouldn't be negative numbers.
And Calculating x=1000 doesn't make sense either because the problem says "The maximum capacity of the company is 110 items" so if we have x=1000 we are exceeding the limit of items that the company can handle.
Now let's calculate the profit when producing 40 and 50 items (we just need to evaluate those values in the function):
The profit when the company produces 50 items is 500 and the profit when the company produces 40 items is 550.
The company should choose to produce 40 items because is a higher profit in contrast to making 50 items.
According to the function, when we replace the values in X we can see that the term (X^2) grows more than the term X and as you can see the term X^2 is negative which decreases the final result of the profit. Another way to see this is by drawing the function
As you can see the function is a parable and when the number of items "X" is very high the function tends to decrease. The function starts to grow in profit until 40 items (when you find the maximum value of profit) and then the profit function decreases.
8/9 with a exponet of 0
Answer:
1
Step-by-step explanation:
this is because the number is not getting multiplied by anything.
Answer:
1
Step-by-step explanation:
(8/9) ^0
Any number( besides 0) raised to the power of 0 is 1
Three friends each have a balance of $5,000 on their credit cards with a 25% APR. They've decided that they will not make any other purchases on their cards until they pay off the debt and make varying amounts of monthly payments:
Sharon can only make the credit card minimum payment, $150 per month
Cecilia can set aside $400 per month to pay back her debt
Alexander can pay $800 per month for his credit card
After 5 months, how much will each person have paid in interest so far and how large will their remaining balance be? Use the formulas below to calculate their interest and balance for each month.
Hint: Credit card interest is typically compounded daily so n=365. Time here is in years, so make sure you use a fraction for your t value.
Each person has paid in interest so far and how large will their remaining balance be Sharon=700per month, Cecelia=2000per month, Alexander=4000 per month
We have given that,
Three friends each have a balance of $5,000 on their credit cards with a 25% APR. They've decided that they will not make any other purchases on their cards until they pay off the debt and make varying amounts of monthly payments:
We have to determine how much will each person has paid in interest so far and how large will their remaining balance be.
Sharon=700per month
Cecelia=2000per month
Alexander=4000 per month
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Find the surface area of the cylinder formed by the net. Use 3.14 for π. Round your answer to the nearest tenth.
Answer:
A=2πrh+2πr2
Step-by-step explanation:
Answer:
I wasn't exactly sure, by what net you were talking about. I searched on multiple tests and found one that might be the one you're talking about.
399.4 cm^2
Step-by-step explanation:
Area= 2 x π(3.14) x Radius x hieght + 2 x π(3.14) x radius ^2
2 x 3.14 x 3 x 18.2 + 2 x 3.14 x 3 = 399.4 cm^2
Note:
Hope this helps! Have a wonderful rest of your day!
-kiniwih426