Answer urgently needed pls

The first five terms in the recursive sequence defined by a_1 = 150 and a_n = 0.85a_n-1 are:

a_1 = 150

a_2 = 0.85150 = 127.5

a_3 = 0.85127.5 = 108.375

a_4 = 0.85108.375 = 91.8125

a_5 = 0.8591.8125 = 77.853125

A recursive sequence is a sequence of numbers where each successive term is determined by the value of previous terms, typically by applying a mathematical operation to those terms.

Therefore, the first five terms in the recursive sequence are 150, 127.5, 108.375, 91.8125, and 77.853125.

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Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

In order to find the percent increase, let's first find the absolute increase, by subtracting the new value and the old value:

Now we just need to divide the absolute increase by the old value, then we will find the percent increase:

So the percent increase is 80%.

Step-by-step explanation:

Circumference = 76cm

Circumference = 2(π)(r)

r -> radius

=> 2(π)(r) = 76

=> (π)(r) = 76/2

=> (π)(r) = 38

=> 3r = 38

=> r = 38/3

=> r = 13cm (Approx.)

Diameter = 2r = 2(13) = 26cm

Area = π(r)^2

        = 3(13)^2

        = 3(169)

        = 507 cm^2

Answer

d=25.34cm

a=160.53cm

cf=12.67cm

Step-by-step explanation:

circumference=cf

diameter=d

radius=r

area=a

d=2r

=2×12.67cm

=25.34cm

cf=2πr

76cm=2(3)r

76cm=3r

2

38cm=r

3

r=12.66^cm

r=12.67cm

find the area

a=πr^2

a=12.67×12.67πcm

a=160.53πcm(it is near to this)

Based on the dimensions of the wall and the triangular glass, the number of mirrors needed is 215 mirrors.

First find the area of the wall:

= 36 x 93

= 3,348 m²

The area of the triangle, assuming it is an equilateral triangle is:

= (√3/4) x 6²

= 15.59 m²

The number of mirrors needed is:

= 3,348 / 15.59

= 215 mirrors

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Answer:

the answer is A

Step-by-step explanation:beacuse ik its right

Yes, 7/56 and 6/48 are proportional because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is product of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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If A and B matrices have linearly independent column vectors, then the column vectors of C = AB will also has linearly independent column vectors.

Linearly independent vectors are defined when there exists no non-trivial linear combination of the vectors that equals the zero vector. We have, A∈ Rᵐ × Rⁿ and B∈ Rⁿ × Rʳ and C = AB . If both A and B both have linearly independent column vectors. So, A and B are invertible matrix . Then, Cᵀ = Aᵀ Bᵀ where the column vectors of A and B are row vectors of Aᵀ and Bᵀ matrices respectively. Also, the independence of A and B implies the independence of Aᵀ and Bᵀ. As we see Cᵀ = Aᵀ Bᵀ ,then Cᵀ is linearly independent. That means C is invertible matrix . So, the columns of matrix C is also be linearly independent.

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Reason:

Multiply each coordinate of D(-2,-4) by the scale factor 3 to get (-6, -12)

In other words, triple each coordinate of point D.

This trick only works if the center of dilatioin is the origin.

A parking lot's length is 4 yards longer than its width. The dimensions of the parking lot are width=9 and length =12.

Given that,

A parking lot's length is 4 yards longer than its width.

We have to determine the parking lot's measurements if the area is 117 square yards.

Let us take the width as x and we get the length as x+4.

We can write as,

x(x+4)=117

x²+4x=117

x²+4x-117=0

x²+13x-9x-117=0

x(x+13)-9(x+13)=0

(x+13)(x-9)=0

x+13=0    and     x-9=0

x=-13       and      x=9

Therefore, The dimensions of the parking lot are width=9 and length=12.

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Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

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        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer:

Ohio state university football roster

Answer:

True

Step-by-step explanation:

The model that shows the problem 1 divided by 1/6 is option 1.

Every point in a plane that is at a specific distance from the center, or the circle's center, forms a shape. To put it another way, it is the curve that a moving point in a plane draws to keep a constant distance from another point. The radius of a circle is the separation of any point from the center. A positive integer is typically necessary for the radius. Except as specifically stated, this article discusses circles in the Euclidean plane and other aspects of Euclidean geometry.

In particular, a circle is a straight, closed curve that separates the plane into its inner and exterior.

Therefore, The model that shows the problem 1 divided by 1/6 is option 1.

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Answer:

A: the probability that a 1 is received is 0.56.

B:  the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

Step-by-step explanation:

To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.

a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.

Let's denote:

P(1 sent) = 0.6 (probability a 1 is sent)

P(0→1) = 0.2 (probability a 0 is flipped to 1)

P(1 received) = ?

P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)

= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)

= 0.6 * (1 - 0.2) + 0.4 * 0.2

= 0.6 * 0.8 + 0.4 * 0.2

= 0.48 + 0.08

= 0.56

Therefore, the probability that a 1 is received is 0.56.

b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.

Let's denote:

P(0 sent) = ?

P(1 received) = 0.56

We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).

Using Bayes' theorem:

P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)

P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08

P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56

Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):

P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56

Simplifying:

P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56

= 0.08 * (1 - P(0 sent)) * (1 / 0.56)

= 0.08 * (1 - P(0 sent)) * (25/14)

= (2/25) * (1 - P(0 sent))

Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).

A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?

Answer:

21 days.

Step-by-step explanation:

You just divide the total number of miles by miles traveled a day.

8925÷425=21

It will takes 21 days.

Answer:21 days

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

If you simplify an expression you divide for example:

4 x 6 - 10 would be dividing each number by 2, 2 x 3 - 5.

I'm not a genius so hopefully this is right and helps!

Answer:

Write the relation as a set of ordered pairs.

Step-by-step explanation:

A relation. An arrow goes from negative 2 to 4, 0 to 6, 2 to 8.

a.

ordered pairs: {(4, –2), (0, 6), (2, 8)}

b.

ordered pairs: {(–2, 4), (0, 6), (2, 8)}

c.

ordered pairs: {(4, –2), (0, 6), (8, 2)}

d.

ordered pairs: {(–2, 4), (6, 0), (8, 2)}

The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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the test type and relevant statistic, which will depend on the data and the hypothesis being tested.

Step 1 - g. calculate test statistic

Step 2 - b. write claim symbolically

Step 3 - c. compare p-value to alpha

Step 4 - d. reject or fail to reject null

Step 5 - e. write null and alternative hypotheses

Step 6 - f. write conclusion

Step 7 - a. calculate p-value

Step 8 - h. identify test type and relevant statistic

Step 1: Calculate the test statistic, which is a numerical measure of how likely the data is under the null hypothesis.

Step 2: Write the claim symbolically, which is a statement of what you are attempting to prove.

Step 3: Compare the p-value to the alpha level, which is the significance level of the test.

Step 4: Reject or fail to reject the null hypothesis, depending on whether or not the p-value is less than the alpha level.

Step 5: Write the null and alternative hypotheses, which are statements that describe the data and are used to test a hypothesis.

Step 6: Write a conclusion, which is a statement about the data based on the results of the test.

Step 7: Calculate the p-value, which is the probability of obtaining a result as extreme or more extreme than what was observed in the data, given that the null hypothesis is true.

Step 8: Identify the test type and relevant statistic, which will depend on the data and the hypothesis being tested.

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Answer:

\(x=325\)°

Step-by-step explanation:

\(360-35=325\)

The answer above mine is correct... ^^;

Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

4 = (3/2)(2) + 1

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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Answer:

I think the answer is 100

Answer:

\(100\)

Step-by-step explanation:

1. Simplify 6 + 4 to 10.

\(52 + 4 \times (10 + 2)\)

2. Simplify 10 + 2 to 12.

\(52 + 4 \times 12\)

3. Simplify 4 × 12 to 48.

\(48 + 52\)

5. Simplify.

\(100\)

therefor, the answer is 100.

Answer:

it’s a Stapler, to pencil boxes and two pens

Step-by-step explanation:

are you have to do is add a calculator stapler stapler to pencil boxes and two pens altogether and you get exactly 30/// So technically you add 17+7+4.5+1.5

Answer:

143°

Step-by-step explanation:

supplementary angles are angles that combine to form a straight line (and we know that a straight line = 180 degrees)

you can think of an angle as needing another angle to "supplement" it into being a full line.

So, we know that one angle = 37°

And that: one angle + supplementary angle = 180 degrees

                 37° + x  = 180°

                - 37           -37

                     x    = 143

So, the measure of this angle's supplement is 143°

hope this helps!!

Answer:

143 degrees

Step-by-step explanation:

180 - 37 = 143

Answer:

4÷6

8÷12

16÷24

Step-by-step explanation:

Any of these will work. Hope this helps!

Answer:

x=-1

Step-by-step explanation:

1/4x+1/2=2/4x+3/4

1/4x+2/4=2/4x+3/4

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

2/4=1/4x+3/4

2/4-3/4=1/4x

-1/4=1/4x

-1=x

x=-1

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²