How many triangles will there be in the 7th term of the following sequence?
HELP ILL PUT BRAILEST

We need to know about test statistic to solve the problem. The formula we will need to calculate test statistic is  (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Test statistic is a number calculated by a statistical test. It describes how far the observed data is from the null hypothesis of no relationship between variables or no difference among sample groups. The test statistic can be calculated using the sample mean, the population mean and population standard deviation.

test statistic= (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Therefore the formula to calculate the test statistic will be (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

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The exponential function f(t) = e^(0.4t) passes through the y-axis at (0, 1)

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form f(x) = aˣ

The graph of an exponential function shows a curve that could either be an exponential growth or decay.

f(t) = e^(0.4t)

In the exponential function, the curve will show an exponential growth.

In the graph, the curve pass through the y-axis at (0, 1)

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Answer: D

Step-by-step explanation:

x represents gallons of gas

domain is what your x's could be

x can't be a negative becausue you can't get negative gallons of gas so

x can't be -4

D

it is not possible for det A to equal 3 if the entries of both A and A^-1 are integers.

The determinant of a matrix and its inverse are multiplicative inverses of each other, meaning that det(A)det(A^-1) = 1. If det A = 3, then det(A^-1) = 1/3. However, since the entries of both A and A^-1 are integers, this is a contradiction, as the determinant of a matrix with integer entries must also be an integer. Therefore, it is impossible for det A to equal 3 in this scenario.

it explains the reasoning behind the solution and provides a deeper understanding of the concept of determinants.

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Thus, to determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can use a statistical analysis of the daily rate of return for each stock over a 50-day period. However, the small sample size means that we must be cautious when interpreting the results.

To determine whether Intel's stock and Southwest Airlines' stock have similar rates of return, we can conduct a statistical analysis using the sample data collected. The sample size of 50 days is relatively small, so we must be cautious when interpreting the results.

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ψ(25,3) = 1ψ(35,5) = 3ψ(50,7) = 3ψ(100,5) = 7

The formula for computing the number of B-smooth numbers between 2 and X is given by:

ψ(X,B) =  exp(√(ln X ln B) )

Therefore,

ψ(25,3) =  exp(√(ln 25 ln 3) )ψ(25,3)

= exp(√(1.099 - 1.099) )ψ(25,3) = exp(0)

= 1ψ(35,5) = exp(√(ln 35 ln 5) )ψ(35,5)

= exp(√(2.944 - 1.609) )ψ(35,5) = exp(1.092)

= 2.98 ≈ 3ψ(50,7) = exp(√(ln 50 ln 7) )ψ(50,7)

= exp(√(3.912 - 2.302) )ψ(50,7) = exp(1.095)

= 3.00 ≈ 3ψ(100,5) = exp(√(ln 100 ln 5) )ψ(100,5)

= exp(√(4.605 - 1.609) )ψ(100,5) = exp(1.991)

= 7.32 ≈ 7

Therefore,ψ(25,3) = 1ψ(35,5) = 3ψ(50,7) = 3ψ(100,5) = 7

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The expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose the width of the rectangle is w and the length of the rectangle is l

Then, the area of rectangle(A) can be given as:

A = lw

divide by l on both the sides:

A/l  =  lw/l

A/l = w

or

w = A/l

Thus, the expression w = A/l can be used to find the width of the rectangle if the area and length of the rectangle are given.

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If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

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Answer: which one

Step-by-step explanation:

\(-\sqrt 5 -3\sqrt 5\\\\\\=(-1-3)\sqrt 5\\\\\\=-4\sqrt 5\)

Answer:

b

Step-by-step explanation:

The value of a is 50, the value of b is 7, and the value of c is 1. Hence, the unknown constants a, b, and c such that aA+bB+cC=k^m are a=50, b=7, and c=1.

Given that:A = 2i^+3j^+k^m, B = i^+4j^−2k^m, and C = −3i^−j^m

We are to find the unknown constants a, b, and c such that aA+bB+cC=k^m.

So we can write the equation as (a, b, c) = k^m (2i^+3j^+k^m) + k^m (i^+4j^−2k^m) + k^m (−3i^−j^m)

Let us solve the equation (a, b, c) = k^m (2i^+3j^+k^m) + k^m (i^+4j^−2k^m) + k^m (−3i^−j^m)

Given expression can be written as (2k^m)i^ + (3k^m+4k^m-1)i^ + (-2k^m-3k^m) i^ = k^m i^ Now we know that k^m i^ = ai.

Thus, a= 2k^mIn the same way, we can get the values of b and c as follows: (3k^m+4k^m-1)j^ = bj.

Thus, b = 7k^m/25And, (-2k^m-3k^m) k^m j^ = cj^m.

Thus, c = k^m/25

Therefore, the value of a is 2k^m, the value of b is 7k^m/25, and the value of c is k^m/25.

Now, given k^m as the coefficient of the vectors, we can equate it to 1 to get the value of k^m.

Let k^m = 25. Now, putting this value in a, b, and c, we get:

a = 2k^m = 2 * 25

= 50, b

= 7k^m/25

= 7 * 25/25 = 7, and c = k^m/25

= 25/25

= 1

Therefore, the value of a is 50, the value of b is 7, and the value of c is 1.Hence, the unknown constants a, b, and c such that aA+bB+cC=k^m are a=50, b=7, and c=1.

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Answer:

1.  x = 47°

2.  c = 47°

Step-by-step explanation:

Triangle DEF is an isosceles triangle since it has two sides of equal length.

The two equal sides are called the legs and the angle between them is called the vertex angle.  Therefore, the vertex angle of ΔDEF is ∠D.

The side opposite the vertex angle is called the base (EF) and base angles are equal:

⇒ m∠F = m∠E

⇒ x = 47°

Triangle STU is an isosceles triangle since it has two sides of equal length.

The two equal sides are called the legs and the angle between them is called the vertex angle.  Therefore, the vertex angle of STU is ∠T.

The side opposite the vertex angle is called the base (SU) and base angles are equal.

As the interior angles of a triangle sum to 180° and the base angles are equal:

⇒ m∠S + m∠T + m∠U = 180°

⇒ c + 86° + c = 180°

⇒ 2c = 94°

⇒ c = 47°

Answer:

\(\frac{23}{3}\) or \(7\frac{2}{3}\)

solution:

\(6\) + \(1\frac{2}{3}\)

\(\frac{6}{1}\) + \(\frac{5}{3}\)

\(\frac{6}{1}\) × \(\frac{3}{3}\) \(= \frac{18}{3}\)

\(\frac{18}{3}\) + \(\frac{5}{3}\) \(= \frac{23}{3}\)

\(\frac{23}{3}\)\(= 7\frac{2}{3}\)

7 2/3 is the simplest form of 23/3

The derivative of the function y = x^3 - 6x + 8 is 3x^2 - 6. When x = 4, the derivative dy/dx equals 3(4)^2 - 6 = 42.

To find the derivative dy/dx of the given function y = x^3 - 6x + 8, we differentiate each term with respect to x.

The derivative of x^3 is 3x^2, the derivative of -6x is -6, and the derivative of 8 (a constant) is 0.

Therefore, the derivative of y is dy/dx = 3x^2 - 6.

Substituting x = 4 into the derivative expression, we have dy/dx = 3(4)^2 - 6 = 3(16) - 6 = 48 - 6 = 42.

Thus, when x = 4, the derivative dy/dx equals 42.

To calculate Ay, we substitute x = 0.2 into the function y = x^3 - 6x + 8. Ay = (0.2)^3 - 6(0.2) + 8 = 0.008 - 1.2 + 8 = 7.968.

Therefore, when x = 0.2, the value of the function y is Ay = 7.968.

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The volume first increases and then decreases as the length of the side of the square cut from each corner increases.

The volume of such a box is V= lxbxh V (80-2x)(50-2X) (X) Vat 4000x-260x2 + 4x3 = objective 50-2x 80-2XX function r(x) = 4000 (1) -260(27) + U(3x2) v(x)=4000-5207 + 1222 Vlx) = 4 [ 1000-1302 + 3x2) for the critical point V'ou = 0

50-2x=50-2(1) = -50 3. This is a negative number, but the width cannot be negative.

V"(x) = 0-520(1) +12 (2x) = 24x-520

Henu

V" (10) = 24(10)- 520 = - 280 Co X=10cm will augment volume.

V = (80-20), (50-20), (10) = 60x30x10 V = 18000 cubic centimeters is the maximum volume.

domain 50-270 twice 50 2250 times 25 domain jE

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Answer:

you're answer would be d

Answer:

D. All of the above

Step-by-step explanation:

Answer:

x^3 + 4x^2 - 9x-36

Step-by-step explanation:

Use long division to divide x-4 into it.....

First, we can write the quadratic function in the form:

ax^2 + bx + c = a(x^2 + (b/a)x) + c

ax^2 + bx + c = a(x^2 + (b/a)x + (b/2a)^2 - (b/2a)^2) + c

ax^2 + bx + c = a[(x + (b/2a))^2 - (b/2a)^2] + c

minimum value of this expression occurs when (x + (b/2a))^2 = 0, which is only possible when x = -(b/2a)

ax^2 + bx + c = a(0 - (b/2a)^2) + c = -b^2/4a + c

the minimum value of the quadratic function is -(Δ/4a), which is equivalent to -b^2/4a when a > 0

the function is zero when x = 1, so we can write:

a(1)^2 + b(1) + c = 0

a + b + c = 0

ax^2 + bx + c = a(x - h)^2 + k, where h = -b/2a and k = -b^2/4a + c

the value of the function at x = 0 is 5, so we have:

a(0)^2 + b(0) + c = 5

c = 5

k = -b^2/4a + c

k = -(-a-5)^2/4a + 5

Simplifying this expression, we get:

k = (-a^2 - 10a - 25)/4a + 5

k = (-a^2 - 10a + 15)/4a

Since we know that k = -4, we can write:

-4 = (-a^2 - 10a + 15)/4a

Multiplying both sides by 4a, we get:

-16a = -a^2 - 10a + 15

Simplifying this equation, we get:

a^2 - 6a - 15 = 0

Factoring this quadratic equation, we get:

(a - 5)(a + 3) = 0

So, either a = 5 or a = -3. If a = 5, we can solve for b using the equation a + b

*IG:whis.sama_ent

Answer:

O 4st³

Step-by-step explanation:

(64s³t9)^(1/3) =

\((64s^3t^9)^{1/3}\)=

\((4^3s^3t^9)^{1/3}\)=

\(4^{3/3}s^{3/3}t^{9/3}\)=  ==> distribute the power '1/3' to all the numbers in the

                         parantheses

\(4^{1}s^{1}t^{3}\)= .\(4st^{3}\)  ==> simplified answer

The probability that a driver chosen at random from the community will be in the low-risk category for the next year is 0.8

Probability:

In math,  the ratio of the times an event is likely to occur divided by the total possible events is known as probability.

Given,

Here we need to find if 80% of the drivers in the community are in the low-risk category this year, then the probability that a driver chosen at random from the community will be in the low-risk category for the next year.

Here we know that, 80% of the drivers in the community are in the low-risk category this year.

Then as per the definition of probability, the the community will be in the low-risk category for the next year is calculated as,

=> 80/100

=> 0.8

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Sierra and Keaton are both engaged in constructing inscribed shapes, but there is a notable difference in their construction steps. Sierra is constructing an inscribed square, while Keaton is constructing an inscribed regular hexagon.

In Sierra's construction, she begins by drawing a circle and then proceeds to find the center of the circle.

From the center, Sierra marks two points on the circumference, which serve as opposite corners of the square.

Next, she draws lines connecting these points to create the square, ensuring that the lines intersect at right angles.

On the other hand, Keaton's construction of an inscribed regular hexagon follows a distinct procedure.

He starts by drawing a circle and locating its center. Keaton then marks six equally spaced points along the circumference of the circle.

These points will be the vertices of the hexagon.

Finally, he connects these points with straight lines to form the regular hexagon inscribed within the circle.

Thus, the key difference lies in the number of sides and the specific geometric arrangement of the vertices in the shapes they construct.

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Answer:

10 birdhouses

Step-by-step explanation:

floor gang aooh sub to pewdiepie

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

Answer:

a and c

Step-by-step explanation:

im just a god like that

Answer:

5

Step-by-step explanation:

15(8/(8+16))

15(8/(24))

15(1/3)

5

Answer:

4.95

Step-by-step explanation:

15(8÷(8+16))

= 15(8÷24)

= 15×0.33

Reason for this answer↑: It was written as “8÷24” not “24÷8”

= 4.95

Answer:

A=45cm^2

Step-by-step explanation:

A= h/2(b1 + b2) for trapezoid

A=(5/2(6+12))cm^2

A=(2.5(18))cm^2

A=45cm^2

Answer:

Year 1

2650.00

Year 2

2385.00

Year 3

2146.50  

Year 4

1931.85  

Year 5

1738.67  

Year 6

1564.80  

Year 7

1408.32  

Year 8

1267.49  

Year 9

1140.74  

Year 10

1026.66  

Year 11

924.00  

Year 12

831.60  

Step-by-step explanation:

Answer:

2 gallons

Step-by-step explanation: