Answer:
f(4) = -10
g(2) = 30
Step-by-step explanation:
Find the 100th term for the sequence: -10, – 15, -20, - 25, ...
,
Step-by-step explanation:
please mark me as brainlest
Answer:
-505
Step-by-step explanation:
First term is -10, second is -15, third -20, fourth -25, and so on. Here, this is a pattern. Every question having pattern also have a formula to solve it. To solve this question first you need to understand the pattern. In this pattern it is adding -5. First term is -10, so if we add -5 to -10 we will get the second term that is -15, and to get third term add -5 to the result with the previous number that will -15 + -5 = -20. So, now we are confirm that to get the next term we have to add -5 to the previous number. Here, we have to find the hundredth term. So, if we add -5 with the result hundred times it will take time. So, we need to solve this with the help of a formula. The formula according to me is, -5 × term number + (-5). Before finding the term which is not given in the question, we have to try this formula with the terms given in the question to know whether the formula is correct✅ or not❌. So, first we will find the first term using the formula.
= -5 × 1 + (-5)
= -5 + (-5)
= -10
We got the first term and it is correct but, I am finding all terms given in this question using the formula to show that the formula is correct.
Second term using formula
= -5 × 2 + (-5)
= -10 + (-5)
= -15
Third term using formula
= -5 × 3 + (-5)
= -15 + (-5)
= -20
Fourth term using formula
= -5 × 4 + (-5)
= -20 + (-5)
= -25
Now, I think you know how to find 100th term. To find 100th term, multiply -5 with 100 then add -5 to the result.
= -5 × 100 + (-5)
= -500 + (-5)
= -505
If you want to find more terms you can find it using the formula.
If you did not understood my explanation or my answer is incorrect than sorry, you can report my answer. But, if you understood than tell me in comment or please give me a Thanks.
If you think my answer is incorrect, before reporting it you should find the 100th term using long method by only adding -5 till you find the 100th term to check my answer.
Fred makes $750 a week working 5 days .How much does he make in one day
Answer:
$150
Step-by-step explanation:
750/5 = 150
- Three hundred percent of 45 is what number?
Answer:
45*3=135
Step-by-step explanation:
45 is 100% then its 1/1
just multiply by by 3 and u will get 3/1
3) A moving target at a police academy target range can be hit 88% of the time by a particular individual. Suppose that as part of a training exercise, eight shots are taken at a moving target. a) What 3 characteristics of this scenario indicate that you are working with Bernoulli trials? b) What is the probability of hitting the 6
th
target (Hint: think of this as a single trial)? c) What is the probability that the first time hitting the target is not until the 4 th shot?
a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b. The probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c. Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:
The experiment consists of a fixed number of trials (eight shots).
Each trial (shot) has two possible outcomes: hitting the target or missing the target.
The probability of success (hitting the target) is constant for each trial (88% or 0.88).
b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
where:
P(X = k) is the probability of getting exactly k successes,
C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,
p is the probability of success in a single trial, and
n is the total number of trials.
In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:
P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88
c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.
P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)
The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:
P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)
Using the binomial probability formula as before, with p = 0.88 and n = 3:
P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)
P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)
P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)
Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.
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help me with this plz
Answer:
b you see 0.29 then its 94+3 97 - 96 1 then 0.29 +10 is b
Answer:
steps below
Step-by-step explanation:
a. 0.289
b. 0.30
c. 0.305
d. 0.313
In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal.
How much money did they both have in their accounts in May?
Enter your answer in the box.
Answer:
ed
Step-by-step explanation:
Rashon is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $150 equipment fee. Company B charges $25 per hour and a $300 equipment fee. Let
�
A represent the amount Company A would charge for
�
t hours of landscaping, and let
�
B represent the amount Company B would charge for
�
t hours of landscaping. Graph each function and determine the number hours,
�
,
t, that would make the cost of each company the same.
The cost of each company would be the same for 6 hours of landscaping.
What does it mean to equalise the two equations?Finding the intersection of the two lines, which reflects the number of hours where the costs of the two companies are equal, requires setting the two equations equal to one another. This is because the y-values of the two equations—i.e., the costs—are identical at that moment.
Given that, Company A charges $50 per hour and a $150 equipment fee.
The equation is:
A = 50t + 150
For company B:
B = 25t + 300
To graph the function find different values of A and B by substituting different values of t.
The two equations would make the same cost at the intersection of the two equations on the graph.
Or, through the equation we can calculate the same cost as:
50t + 150 = 25t + 300
25t = 150
t = 6
The two lines intersect at point t = 6.
Hence, the cost of each company would be the same for 6 hours of landscaping.
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Express the following quantities as ordinary decimal numbers: (use solution)
:: The estimated world population for the year 2000 was 6.130 x 10⁹.
Step-by-step explanation:
\(6.130 \times {10}^{9} = 9130000000\)
w
Find the area of parallelogram ABCD given mZA= 300 and the following measures.
X
D
30°
A
B
AB = 10 in.; AD= 6 in.
A-
60 in
30V3 in
30 in
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Based on the given information, we can assume that AB and AD are line segments in a two-dimensional plane. AB is 10 inches in length while AD is 6 inches in length. These measurements provide us with two important pieces of information that can be used for various calculations.
For instance, we can use the given lengths to find the distance between points A and B. This can be done using the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse (the longest side). So, we can assume that AB is the hypotenuse of a right triangle with sides AB and AD. Using the Pythagorean Theorem, we can find the length of the third side (AC): AC^2 = AB^2 - AD^2 = 100 - 36 = 64. Thus, AC = 8 inches.
Overall, the given measurements of AB and AD provide us with a foundation for solving various geometric problems and making calculations in a two-dimensional plane.
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-36>6x+12 please help
The given expression is
- 36 > 6x + 12
By subtracting 12 from both sides of the inequality, we have
- 36 - 12 > 6x + 12 - 12
- 48 > 6x
Dividing both sides of the inequality by 6, we have
- 48/6 > 6x/6
- 8 > x
We can write this as
x < - 8
How to tell if a function is exponential.
Answer:
It is when it has factors and can be multiplied
Find the distance between the two points rounding to the nearest tenth (if necessary). ( 3 , − 3 ) and ( 7 , − 8 )
Answer:
6.4 units
Step-by-step explanation:
c = √(x1 - x2)^2 + (y1 - y2)^2
c = √(3 - 7)^2 + (-3 + 8)^2
c = √(-4)^2 + (5)^2
c = √16 + 25
c = √41
c = 6.4031...
c = 6.4
One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. Write a differential equation that is satisfied by y. a. Solve the differential equation. (Let y(0) = y0.)b. Write a differential equation that is satisfied by y.
The differential equation is equivalent to
\(\frac{dy}{dx} -\frac{3x(1-y)}{x^{2} +1}\)
If y denotes the fraction of the population who have heard the rumor, then 1 −y represents the fraction of the population who haven’t heard the rumor.
The rate of spread of the rumor (y'(t)) being proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor can then be rewritten as:
\(\frac{dy}{dt} =ky(1-y)\)
for some positive constant k. This is a separable differential equation, so to solve it we separate the variables
\(\frac{dy}{y(1-y)} =kdt\)
and integrate
\(\int\ \frac{dy}{y(1-y)} =\int k dt < = > ln |\frac{y}{1-y} |=kt+c\)
Exponentiating, we get
\(|\frac{y}{1-y}|=e^{kt+c}\)
Denoting ec by A, and taking into account that y ∈ (0, 1) we get
\(\frac{y}1-{y} =Ae^{kt} =\frac{Ae^{kt} }{1}\)
Adding the numerators to the denominators in the above equality of fractions we obtain
\(y=\frac{y}{(1-y)+y} =\frac{Ae^{kt} }{1+Ae^{kt} }\)
The Initial value:
\((x^{2}+1) \frac{dy}{dx} +3y(y-1)=0,y(0)=1\)
The differential equation is equal to
\(\frac{dy}{dx} -\frac{3x(1-y)}{x^2+1}\)
the initial condition of our problem is y(0) = 1, the solution must be y ≡ 1
The differential equation is equivalent to
\(\frac{dy}{dx} +\frac{3x}{x^2+1} y=\frac{3x}{x^2+1}\)
which is a linear equation, with P(x) = Q(x) =\(\frac{3x}{x^2+1}\) we have
\(\int P(x)=\frac{3}{2}\int \frac{2x}{x^2+1} dx=\frac{3}{2} ln(x^2+1)\)
It follows that the integrating factor I(x) is then
\(I(x)e^{\int P(x)dx} =e^{\frac{3}{2} ln(x^2+1)} =(x^2+1)^{\frac{3}{2} }\)
The general technique for solving linear differential equations yields
\(yI(x)=\int Q(x)I(x)dx=\int \frac{3x}{x^2+1} (x^2+1)^{\frac{3}{2} } \\\\=\int 3x(x^2+1)^{\frac{1}{2} } =(x^2+1)^{\frac{3}{2} } +C\)
Dividing by I(x) we get
\(y=1+\frac{C}{(x^2+1)^{\frac{3}{2} } }\)
The initial condition y(0) = 1 yields 1 = 1 + c, i.e. c = 0. Therefore y ≡ 1.
The differential equation is separable. We get this by separating the variables
\(\frac{dy}{y-1} -\frac{-3x}{x^2+1}\)
Integrating, we obtain
\(ln|y-1|=\frac{-3}{2} ln(x^2+1)+c\)
which yields by exponentiation
\(|y-1|=\frac{e^c}{(X^2+1)^\frac{3}{2} }\)
substituting ec by a constant A, and allowing A to also be negative or 0, we get
\(y-1=\frac{A}{(x^2+1)^\frac{3}{2} }\)
The initial condition y(0) = 1 implies that 1 − 1 = A/1 = A, hence A = 0 and y ≡ 1
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Please help me thank you:)))
Answer:
B. 7^12
Step-by-step explanation:
Answer:
B = 7^12
Step-by-step explanation:
3 x 4 = 12
so there for your answer will be 7^12
5/6 + (-4/9) -(-2).
Answer:
= 2 7/18
Step-by-step explanation:
Follow the PEMDAS order of operations.
Add and subtract left to right
=43/18 (as an improper fraction)
=2 7/18 (as a mixed number)
which of the following is not one of the measures of variability with each measure providing its own unique version of information that helps to describe the diversity of responses? question 8 options: range frequency distribution mode standard deviation
Answer:
The measure of variability that is not one of the measures that provides its own unique version of information that helps to describe the diversity of responses is frequency distribution.
The other measures of variability are:
Range: the difference between the highest and lowest values
Interquartile range: the range of the middle half of a distribution
Standard deviation: average distance from the mean
Variance: average of squared distances from the mean.
I hope this helps! Let me know if you have any other questions.
Step-by-step explanation:
what is the range of the function y= 2^x+1
Answer:
(1,∞)
Step-by-step explanation:
This function gonna go forever up, but since it has a + 1 we know that it will be larger than 1 and smaller than infinity.
So, the range is (1,∞)
Charlotte invested $33,000 in an account paying an interest rate of 7 3/4% compounded continuously. Alyssa invested $33,000 in an account
paying an interest rate of 7 1/4% compounded daily. After 19 years, how
much more money would Charlotte have in her account than Alyssa, to
the nearest dollar?
The amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13
How to calculate the 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,
\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\\)
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.
Charlotte invested $33,000 in an account paying an interest rate of 7 3/4% compounded continuously for 19 years. The rate of interest is,
\(r=7\dfrac{3}{4}\\r=\dfrac{31}{4}\\r=7.75\)
Thus, the final amount in his account after 19 years is,
\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=143861.22\)
Alyssa invested $33,000 in an account paying an interest rate of 7 1/4% compounded daily. The rate of interest is,
\(r=7\dfrac{1}{4}\\r=\dfrac{29}{4}\\r=7.25\)
Thus, the final amount in her account after 19 years is,
\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=130826.09\)
The more money would Charlotte have in her account than Alyssa is,
\(D=143861.22-130826.09\\D=13035.13\)
Thus, the amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13
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x-3y
2x+4y=10
Substitutes
Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.
(-2, 2)
(5, 3)
(-3, -1)
(3, 4)
Answer:
(-3,-1)
Step-by-step explanation:
For the answer (-2,2) you are moving 7 units. (5,3) you are moving 7 units as well. For (3,4) you are moving 6 units. By process of elimintaion, we know the answer is (-3,-1).
Which is not a power function?.
A function containing a variable base raised to a fixed power is considered to be a power function.
when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.
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sum of n natural numbers is 5n^2 + 4n , find the 8th term
Answer:
The 8th term is 79
Step-by-step explanation:
HOPE THIS HELPS UWU ✨
Answer:
....
Step-by-step explanation:
at the univariate level, descriptive statistics are used for: a. measures of association. b. data expansion. c. multivariate analyses. d. data reduction. e. determining causality.
The correct answer is at the univariate level, descriptive statistics are used for 'data reduction'
By creating the summaries of data samples, descriptive statistics can be used to describe the characteristics of a data set.
It is frequently presented as a summary of data that explains the contents of data. For instance, a census of the population may contain descriptive data on the proportion of men and women in a particular city.
Informational and intended to describe the precise features of a data set, descriptive statistics provide details. The greatest individual batting average for a player, the average number of runs per division, and the number of runs allowed per team are some descriptive statistics that may be used to analyse data from the previous Major League Baseball season.
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In Rhombus LMNO angle LMN measures 162.66 degrees, what is the measure of angle LON?
!!Please explain!!
The angle ∠LON is congruent to the angle ∠LMN. Then the measure of the angle ∠LON will be 162.66°.
What is a Rhombus?It is a polygon with four sides. The total interior angle is 360 degrees. A Rhombus's opposite sides and angles are parallel, and each side is congruent to the other sides. Its diagonals intersect at the right angle at the center.
In Rhombus LMNO angle LMN measures 162.66 degrees.
We know that the angle ∠LON is the opposite angle ∠LMN. Then ∠LON is congruent to the angle ∠LMN. Then we have
∠LON = ∠LMN
∠LON = 162.66°
The measure of the angle ∠LON will be 162.66°.
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Renee built a toolbox in the shape of a rectangular prism that has a length if 36 inchrd, a width of 20 inches and a height of 18 inches. She will make a similar toolbox for her nephew with dimensions that are 1/4 of the dimensions of her toolbox. What will be the surface area of the toolbox Renee is making for her nephew?
Answer A: 216 sq in
Answer B: 864 square in
Answer C: 202.5 square in
Answer D: 3240 sq in
Answer:
Step-by-step explanation:216
Describe the relationship between the point D(6, 9) and the point A(8, 12) in terms of dilations
The Relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.
The relationship between the points D(6, 9) and A(8, 12) can be described in terms of dilations. In mathematics, a dilation is a transformation that changes the size of an object while keeping its shape intact. It involves scaling the object by a certain factor, either enlarging or reducing it.
To understand the relationship between D and A, we can calculate the dilation factor. The dilation factor, denoted by 'k', is the ratio of the corresponding side lengths or distances between the pre-image (original object) and the image (transformed object).
The dilation factor between D(6, 9) and A(8, 12):
First, we need to find the change in x-coordinates and y-coordinates:
Δx = 8 - 6 = 2
Δy = 12 - 9 = 3
Next, we calculate the dilation factor:
k = Δy / Δx = 3 / 2 = 1.5
The dilation factor of 1.5 indicates that the image point A is 1.5 times as far from the origin (point D) compared to the pre-image. This means that A is located at a greater distance from the origin than D, both horizontally and vertically.
Moreover, since the dilation factor is positive, the dilation is an enlargement. This means that A is enlarged with respect to D. The ratio of the corresponding side lengths will also be 1.5.
the relationship between the points D(6, 9) and A(8, 12) can be described as a dilation with a factor of 1.5. Point A is located 1.5 times farther from the origin compared to point D, in both the horizontal and vertical directions. Additionally, A is an enlargement of D.
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Which expression is equivalent to the expression 5b+16?
3b-6+2b+22
5b-6+b+ 22
2b+4+2b+ 12
7b+3-2b+9
Answer:
the firsst one trust bruv
Step-by-step explanation:
Option A is correct. The expression that is equivalent to the expression 5b+16 is 3b-6+2b+22
Sum of numbers is a way by which numbers or functions are added together.
According to the given question, we are to find the expression that is equivalent to 5b + 16.
Checking the first option 3b-6+2b+22.
Collecting the like terms
\(= 3b-6+2b+22\\= (3b+2b)-6+22\\=5b+16\\\)
Since the resulting expression is equivalent to 5b+16, this shows that the required expression is 3b-6+2b+22.
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air quality measurements were collected in a random sample of 25 country capitals in 2013 and then again in the same cities in 2014. we would like to use these data to compare average air quality between the two years. should we use a paired or unpaired test? explain your reasoning
Use of the two-tailed test is advised. In order to compare the average across two years,
A random sample of 25 national capitals had their air quality measured in 2013, and the same cities had been visited again in 2014. We want to compare the average air quality between the two years using this data.
A one-sided or two-sided test should be used, right? Describe your thinking.
The two-tailed test should be used. We want to contrast the average across two years. If the test parameter calculated for the two years differs, it would be interesting to know. (There is no exact comparison to show if one year is better or worse than the other.)
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please help class end in 10 mins
Option number 1 should be the answer
Considering that the lower intersection is a translation of the upper intersection, what does this mean about the measures of the correspondingangles?
Given:
Considering that the lower intersection is a translation of the upper intersection.
Required:
To find the meaning about the measures of the corresponding angles.
Explanation:
The ower intersection is a translation of the upper intersection.
This means that corresponding ngles overlap ech other on translation.
So, the corresponding angles are congruent.
Final Answer:
The corresponding angles are congruent.