Which of the following is an arithmetic sequence?
O 0, 2, 4, 6, ...
1, 2, 4, 8,...
1,4, 8, 13,...

Answer:

4 cans of paint

Step-by-step explanation:

Half of a can = 1/8 of the outside of the house.

2 halves = whole can of paint

8/2=4

4 cans of paint

Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.

On solving the provided question, we can say that -  correlation coefficient , r= .95

The Pearson's correlation coefficient, also known as the Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply correlation coefficient, is a statistical indicator of the linear relationship between two sets of data.

\(S_{xx}\) = ∑\(x^2\) + \(nx^2\) = 60

\(S_{yy} = 60\)

r  = .95

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Answer:

5+2x

Step-by-step explanation:

Answer:

Let X= Additional Amount

Equation= 5+2x=17

                     -5       -5

                   __________

                     2x=12

                    _______

                     2     2

                      X=6 is the answer, Hope that helped ya.

Step-by-step explanation:

The solution to the math problem is -6.

A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.

The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.

= 19 - ( - 5 ) ²

= 19 - ( 25 )

= 19 - 25

= - 6

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Answer:

C

Step-by-step explanation:

D: {-3,0,1,3}

R: {-5,-4,1,5}

Answer:

3^(4)-2

Step-by-step explanation:

That's the answer

.

.

.

The slope of a line indicates how steep it is calculated mathematically as "rise overrun". It calculates the rate where the variable y changes when the relevant variable changes, and the further calculation can be defined as follows:

Given Points:

\((-4,-2) , (-2,-10)\)

To find:

slope (m)=?

Solution:

\((-4,-2),(-2,-10)\\x_{1} =-4\\y_{1} =-2\\x_{2}= -2\\y_{2}=-10\\\)

Using formula:

\(slope(m)=\frac{y_{2-} y_{1} }{x_{2-} x_{1} } \\=\frac{-10-(-2)}{-2-(-4)} \\\\=\frac{-10+2}{-2+4}\\=\frac{-8}{2} \\=-4\)

Therefore,  the slope is "- 4".

The conclusion is option A, we cannot reject the null hypothesis.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

The null hypothesis cannot  be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.

Therefore, we can not reject the hypothesis.

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Answer:

a

Step-by-step explanation:

the denominator will be zero when. \(x=-2\)or \(x=-7.\) Therefore, the domain of the expression is all real numbers except \(x=-2\) and \(x=-7\).

In mathematics, factoring refers to the process of finding the factors of a given number or expression. Factors are numbers or expressions that can be multiplied together to obtain the original number or expression. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because these are the numbers that can be multiplied in pairs to obtain 12 (e.g. 2 x 6 = 12).

In algebra, factoring involves breaking down an algebraic expression into simpler expressions that can be multiplied together. This is done by finding common factors or using techniques such as difference of squares, perfect squares, or grouping. Factoring is an important tool in algebra, as it can help simplify complex expressions and solve equations.

To simplify a rational expression, follow these steps:

Step 1: Factor both the numerator and denominator if possible. For example, in the expression you provided, the numerator can be factored as\((2x+5)(x+4)\)and the denominator can be factored as \((2x+15)(x+2)\).

Step 2: Cancel out any common factors in the numerator and denominator. In this case, both the numerator and denominator have a common factor of (2x+5), which can be cancelled out.

Step 3: Simplify the remaining expression. After cancelling out the common factor, the simplified expression becomes:

\((2x+5)(x+4) / (2x+15)(x+2) = (x+4) / (x+2)(2x+15)\)

Domain restrictions occur when a value of x makes the denominator equal to zero, because division by zero is undefined. In this case, the denominator will be zero when x=-2 or x=-7. Therefore, the domain of the expression is all real numbers except x=-2 and x=-7.

It is important to identify any domain restrictions before simplifying a rational expression to ensure that the final expression is valid for all values of x in its domain.

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9514 1404 393

Answer:

  -1/512

Step-by-step explanation:

The first term is -4, and the common ratio is -2/-4 = 1/2. Then the n-th term is ...

  an = -4·(1/2)^(n-1)

and the 12th term is ...

  a12 = -4(1/2)^(12 -1) = -4/2048

  a12 = -1/512

Answer:c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probability is the possibility for an event to occur or not to occur.

The formula for a combination is:

n choose r = n! / (r! x (n-r)!)

Given

n=14

r= 11 to 13

Hence, we shall add up the cases for 11 through 13.

nCr

14C11 + 14C12 + 14C13

14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!

= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!

= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)

= 2184/6+182/2+14/1

= 364+91+14

= 469 ways

Step-by-step explanation:

469 ways are the ways to I think so if the answer is correct plz make ma the brainliest

Answer:

C=78.5

Step-by-step explanation:

C=πr²

r=1/2 of diameter

π=3.14

C=π5²

C=78.5

The circumference and the area of the circular flower bed are 31.4 feet and 78.5 square feet respectively.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

A gardener makes a new circular flower bed. The bed is ten feet in diameter.

D = 10 feet

The radius r = D/2 = 10/2 = 5 feet

A = πr²

π = 3.14

A = π(5)²

A = 78.5 square feet

The circumference:

C = 2πr

C = 2(3.14)(5)

C = 31.4 feet

Thus, the circumference and the area of the circular flower bed are 31.4 feet and 78.5 square feet respectively.

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Step-by-step explanation:

x = apples picked from the tree

x1 = x/2 + 2

x2 = (x - x1)/2 + 2 = (x - (x/2 + 2))/2 + 2 =

= (x - x/2 - 2)/2 + 2 = (x/2 - 2)/2 + 2 =

= x/4 - 1 + 2 = x/4 + 1

x3 = (x - x1 - x2)/2 + 2 = (x - (x/2 + 2) - (x/4 + 1))/2 + 2 =

= (x - x/2 - 2 - x/4 - 1)/2 + 2 =

= (x/4 - 3)/2 + 2 = x/8 - 3/2 + 2 = x/8 + 1/2

x - x1 - x2 - x3 = 1

x - x/2 - 2 - x/4 - 1 - x/8 - 1/2 = 1

x/8 - 3 - 1/2 = 1

x/8 = 4 1/2 = 9/2

x = 9×8/2 = 9×4 = 36

she had originally 36 apples

x1 = 20

x2 = 10

x3 = 5

The answer is -5 = x.     Because if x + 8 is 3 you would have to subtract 5 making the answer to X  negative 5 + 8.

Answer:

\((s + t)(x)= 5x+1\)

\((s - t)(x)= -3x-5\)

\((s.t)(1) = -7\)

Step-by-step explanation:

Given

\(s(x) = x - 2\)

\(t(x) = 4x + 3\)

Solving (a): (s + t)(x)

This is calculated as:

\((s + t)(x)= s(x) + t(x)\)

\((s + t)(x)= x-2 + 4x + 3\)

Collect like terms

\((s + t)(x)= x+ 4x-2 + 3\)

\((s + t)(x)= 5x+1\)

Solving (b): (s - t)(x)

This is calculated as:

\((s - t)(x)= s(x) - t(x)\)

\((s - t)(x)= x-2 - 4x - 3\)

Collect like terms

\((s - t)(x)= x- 4x-2 - 3\)

\((s - t)(x)= -3x-5\)

Solving (b): (s . t)(1)

First, we calculate (s.t)(x)

This is calculated as:

\((s.t)(x) = s(x)* t(x)\)

So, we have:

\((s.t)(x) = (x - 2) * (4x + 3)\)

Substitute 1 for x

\((s.t)(1) = (1 - 2) * (4*1 + 3)\)

\((s.t)(1) = - 1 * 7\)

\((s.t)(1) = -7\)

Answer: b

Step-by-step explanation:

Step-by-step explanation:

= 72+10+7×4

= 72+17×4

= 89×4

= 356 ans.

Hope this helps you!

Answer:

Hope this helps!!!!!

Step-by-step explanation:

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Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

\(H_0: \mu=1000\\\\H_a:\mu> 1000\)

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

\(df=n-1=108000-1=107999\)

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=P(t>254.036)=0\)

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

\(d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77\)

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2

The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.

Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.

Secondly, by close inspection we can see that it was dilated by a scale factor of 2.

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Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

We conclude that the initial number of durians is 12.

Let's say that initially, we had N durians, such that these N durians have an average mass of 3.4kg.

When 2 durians  (with an average mass of 1.3kg) more are added, the new average mass is given by:

(N*3.4kg + 2*1.3kg)/(N + 2)

And we know that the above amount is equal to 3.1kg, then we can write:

(N*3.4kg + 2*1.3kg)/(N + 2) = 3.1kg

Now we can solve this equation for N:

(N*3.4kg + 2.6kg) = 3.1kg*(N + 2)

N*(3.4kg - 3.1kg) = 6.2kg - 2.6kg

N*(0.3kg) = 3.6kg

N = (3.6kg)/(0.3kg) = 12

We conclude that the initial number of durians is 12.

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Answer:

x + 5 - 3 + 8 = 12

Step-by-step explanation:

x = 2 books

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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