6) 4, 16, 36, 64,
What Are The Next Three Terms In The Sequence?

The value of the Test Statistic for this hypothesis test under the given condition round Z to the 100ths place is 1.96.

in the case of finding out that if Gingko is effective in improving short term memory we need to use hypothesis test considering there are two possibilities in null hypothesis

Ha: μ1 = μ2 ----( there is no difference measured between means of two groups)

Hb: μ1 ≠μ2 ------( there is difference measured between means of two groups)

formula for this test statistics is

\(Z = (x'1 - x'2) / \sqrt{(s1^2/n1 + s2^2/n2)}\)

here,

x'1 and x'2 = sample means

s1 and s2 = sample standard deviation

n1 and n2 = sample sizes

hence, the values are

x'1 = 6.1

x'2 = 5.6

s1 = 1.2

s2 = 1

n1 = 100

n2 = 105

staging the values in the given equation

\(Z = (6.1 - 5.6) / \sqrt{(1.2^2/100 + 1^2/105) }\)

≈ 1.96

The value of the Test Statistic for this hypothesis test under the given condition round Z to the 100ths place is 1.96.

Hence the value is greater than of z at α/2 = 0.025 we conclude that Gingko is effective in improving short term memory. so the supplements are effective.

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Answer:

See below.

Step-by-step explanation:

This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:

\(f(x)=x^2\)

The domain of the parent quadratic function is all real numbers.

The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.

So, the domain in interval notation is:

\((-\infty,\infty)\)

And the range in interval notation is:

\([0,\infty)\)

This is interpreted as all values greater than or equal to 0.

And we're done!

The true statements about nonregular languages are as follows:Option 3. Only A, B, and C are true.

The statement A says that there exists an FA that accepts the nonregular language {a^n b^n+1 where n ≥ 3}. It is a true statement. Because the language {a^n b^n+1 where n ≥ 3} is not a regular language. It can be proved by using the pumping lemma. Hence the statement A is true.

The statement B says that the nonregular language {a^n b^n where n ≥ 3} can be written as the regular expression a*b*. This statement is false because the language {a^n b^n where n ≥ 3} is not a regular language and it can not be written as the regular expression a*b*. Hence statement B is false.

The statement C says that the language accepted by an FA can be a nonregular language. It is a true statement. Because there exists a nonregular language that can be accepted by an FA. For example, the language {a^n b^n where n ≥ 0} is not a regular language. But it can be accepted by an FA. Hence statement C is true.

The statement D says that the reductio ad absurdum approach can be used to prove that a language is not regular. It is a true statement. Because the reductio ad absurdum approach is one of the methods to prove that a language is not regular. Hence statement D is true.

Therefore, the true statements about nonregular languages are A, C, and D. Hence option 3 is correct.

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Answer:

animals depend on plants for food

Answer:

Step-by-step explanation:

13)  5.38  Slightly off

14)  10.4   Correct

15)  Can't read the numbers

16)  11.7  slightly off

17)  Can't read (be careful with which side goes where in the Pythagorean Theorem calculation.  a^2 + b^2 = c^2 where a and b are the two sides and c is the hypotenuse (across from the right angle).  

18)   16.46

19)  10.57

20)  7.04

21)   4.87    It seems that the hypotenuse is given as 7.2, so the equation should be 5.3^2 + x^2 = 7.2^2

22)   Same as in 21:  2.7^2 + x^2 = 6.5^2  x = 5.91

[But I'm having difficulty reading the problems due to fuzziness]

Answer:

The answer is B - 1/2.

Step-by-step explanation:

Rise over run tells you the slope. You take two points (in this it's (0,-3) and (6,0)) and you see how many units it takes to be on the same y line as the other point. Then you do the same for the x line. You divide the rise (y line) by the run (x line) and that's your slope.

Answer:

3x+30/8

Step-by-step explanation:

Answer:

u = -3

Step-by-step explanation:

Solve for u:

u - 5 = -8

Hint: | Isolate terms with u to the left hand side.

Add 5 to both sides:

u + (5 - 5) = 5 - 8

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

u = 5 - 8

Hint: | Evaluate 5 - 8.

5 - 8 = -3:

Answer: u = -3

Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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When the Fed lowers the target federal funds rate, it stimulates increased demand for reserves, increases the supply of reserves, and lowers the federal funds rate, leading to lower short-term interest rates and expanded lending, which promotes economic activity.

When the Federal Reserve (Fed) lowers the target federal funds rate, it has implications for the market for reserves.

Let's analyze the effects using the supply and demand framework for the market for reserves.

Demand for Reserves:

Lowering the target federal funds rate reduces the cost of borrowing reserves for banks.

As a result, the demand for reserves increases.

Banks are incentivized to borrow more reserves to meet their reserve requirements and support lending activities.

Supply of Reserves:

The supply of reserves is controlled by the Federal Reserve through open market operations.

To lower the target federal funds rate, the Fed typically engages in expansionary monetary policy by purchasing government securities from banks.

These purchases inject reserves into the banking system, increasing the supply of reserves.

Equilibrium:

The increase in the supply of reserves and the higher demand for reserves due to lower borrowing costs will shift the equilibrium in the market for reserves.

The equilibrium federal funds rate, the rate at which banks lend reserves to each other, will decrease.

Effects on Other Interest Rates:

The federal funds rate serves as a benchmark for other short-term interest rates.

As the federal funds rate decreases, other borrowing rates, such as interbank lending rates and short-term consumer and business loans, tend to decline as well.

This stimulates borrowing and investment, supporting economic activity.

Money Supply and Economic Activity:

Lower borrowing costs encourage banks to increase lending, leading to an expansion of the money supply.

Increased lending and investment can stimulate economic growth, as individuals and businesses have access to cheaper credit for consumption and investment purposes.

In summary, when the Fed lowers the target federal funds rate, it stimulates the demand for reserves, increases the supply of reserves, decreases the federal funds rate, lowers other short-term interest rates, expands the money supply, and supports economic activity.

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I have no idea but maybe if you would pay attention in class you would know how to do it. I just need my points so I can keep getting answers. good luck tho

The vectors are linearly independent if and only if k ≠ -11

In mathematics, the definition of a vector is a quantity that is made up of both magnitude and also have direction. This type of quantity is not one that is considered based on its position. A very good example of such a quantity with magnitude and direction is acceleration.

Vectors are used to represent items such as position, velocity, physical quantities and others in mathematics and in physics.

In this question,

We have 2v - 3w

We have to multiply 2 by the values of v and multiply 3 with the values of w

this would produce

[2,6,8]-[6,6,12]

subtract w from v

= [-4, 0, -4]

We u as -1, 0 and 10+k

It is not possible to -1 = 10 + k

-11 = k

Hence we have to conclude that they are linearly independent if and only if k ≠ -11

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The explicit equation for the function is: f(x) = 8(1.5)^(x - 1)

Given that we have the table of values

x f(x)

0 8

1 12

2 18

3 27

We can see that the function is a geometric function

So, the common ratio is

r = 12/8

r = 1.5

The explicit equation for the function is then calculated as

f(x) = ar^(x - 1)

So, we have

f(x) = 8(1.5)^(x - 1)

Hence, the explicit function is f(x) = 8(1.5)^(x - 1)

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Answer:

m</=-20

Step-by-step explanation:

Change in base of right angled triangle is - 1.5cm/minute

The rate of change in area is defined as the change in with respect to time.

dA/dt = 1/2(BdH/dt + HdB/dt)

where A is area, B is base, H is height

A = 1/2×B×H

94 = 1/2×11.5×B

⇒ B = 94×2/11.5 = 16.3cm

Rate of change in base,

dA/dt = 1/2(BdH/dt + HdB/dt)

3.5 = 1/2(16.3×1.5 + 11.5×dB/dt)

dB/dt = 7-24.45/11.5 = -1.5 cm/minute

Thus,base of triangle is decreasing by 1.5cm/minute.

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Answer:

56

Step-by-step explanation:

Answer:

Sharons amount is $111

Megs amount is $89

Step-by-step explanation:

Doing 200 -22 sets aside sharons extra and from there divide by 2 getting 89. Add the 22 to 89 for sharons amount and keep the 89 for megs amount.

Answer:

I think this is correct

meg= 78

Sharon=122

Step-by-step explanation:

Sharon

200÷2=100

100+22=122

Meg

200-122=78

Step-by-step explanation:

perpendicular means to have an angle with the other line of 90°.

the slope (y change / x change) of the original line is 7/6, as the slope is always the factor of x.

the perpendicular slope is turning the original scope upside-down and flips the sign :

-6/7

so, every line with any b

y = -6/7 x + b

is perpendicular to the original line.

the simplest one would be b = 0

y = -6/7 x

Answer:

x^2 - 9

Step-by-step explanation:

length = 2x - 6 = 2(x-3)

Area = [2(x-3) * (x + 3)]/2 = (x-3)(x+3) = x^2-9

Answer: x = 9

2x -6= x +3

2x -x= 3 +6

x= 9

Answer:

Angle 2 = 48

we are going to divide 48 by 2 to get the Angle 1

Angle 1 = 24

then Angle 5 = (5×24)

Angle 5 = 120

Answer:

4/8 is left in the glass ;)

Answer:

1/2

Step-by-step explanation

???

In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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Answer:

2:1, 3:1, and 5:1

Step-by-step explanation:

Hope this helps

Given that v0 = (2, 1, -2), v1 = (-2, 1, 1), and v2 = (1, 2, 2), we can find the orthonormal basis that should be parallel to v0, and w0 and w1 should span the same subspace as v0 and v1.To find the orthonormal basis that should be parallel to v0.

we need to follow these steps:

Let v0 be a vector in Rn with nonzero norm ||v0||, and let V be the subspace of Rn that is perpendicular to v0 (so if y is in V, then y·v0 = 0).

Then, we can construct an orthonormal basis {v1, . . . , vp} for V, and {v0/v0, v1, . . . , vp} will be an orthonormal basis for Rn.

To find {v1, . . . , vp}, we apply Gram-Schmidt to the basis {v0, v1, . . . , vp}.

Specifically, we compute vi' = vi - projv0vi for i = 1, . . . , p.

This ensures that {v1, . . . , vp} are all in V and that {v0/v0, v1, . . . , vp} is an orthonormal basis for Rn that is parallel to v0.

So, in this case, we can take v0 = (2, 1, -2), which has norm ||v0|| = sqrt(2^2 + 1^2 + (-2)^2) = sqrt(9) = 3.

Now, we need to find w0 and w1 that span the same subspace as v0 and v1. Since {v0, v1} is a basis for this subspace, any two linearly independent vectors in this subspace will span the same subspace. So, we can just pick any two such vectors. Let w0 = (2, 1, -2) and w1 = (-2, 5, 1).

We claim that {w0, w1} is linearly independent and spans the same subspace as {v0, v1}.To show that {w0, w1} is linearly independent, suppose that aw0 + bw1 = 0 for some scalars a and b. Then, we have(2a - 2b, a + 5b, -2a + b) = (0, 0, 0).This gives us two equations:2a - 2b = 0a + 5b = 0

Solving for a and b, we geta = 5/7 and b = -2/7.

Since a and b are not both zero, this shows that {w0, w1} is linearly independent.

To show that {w0, w1} spans the same subspace as {v0, v1}, we need to show that every vector in this subspace can be written as a linear combination of w0 and w1. Let (x, y, z) be any vector in this subspace.

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