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Nataly_w [17]
3 years ago
11

What is the 18th partial sum of this geometric series 200, 100, 50

Mathematics
1 answer:
In-s [12.5K]3 years ago
3 0

Answer:

515

Step-by-step explanation:

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The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogr
Scorpion4ik [409]

So, coordinates of QRST will be:

Q(2,−1),R(3,−4),S(5,−3),T(4,0)

Option D is correct.

Step-by-step explanation:

The vertices of given parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0).

ABCD is reflected over the x-axis to create parallelogram QRST

We need to find coordinates of QRST.

When the graph is reflected across x-axis, the x-coordinate remains the same, while y-coordinate becomes opposite i.e the sign is changed of the given coordinate.

So, coordinates of QRST will be:

Q(2,−1),R(3,−4),S(5,−3),T(4,0)

All the y-coordinates have been converted to their opposite signs

So, Option D is correct.

Keywords: Reflection across x-axis

Learn more about reflection across x-axis at:

brainly.com/question/11203617

brainly.com/question/4057490

brainly.com/question/5017530

#learnwithBrainly

5 0
3 years ago
Which points on the graph represent values that could be in the table? A B C D
Dafna11 [192]

Answer:

uhhh

Step-by-step explanation:

uh I don't see the graph

4 0
3 years ago
Read 2 more answers
A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec
Paraphin [41]

Answer:

A. The solutions are x=3i,\:x=-3i.

B. The factored form of the quadratic expression x^2+9=(x-3i)(x+3i)

Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i

The solutions are:

x=3i,\:x=-3i

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor x^2+9:

First, multiply the constant in the polynomial by i^2 where i^2 is equal to -1.

x^2+9i^2

Since both terms are perfect squares, factor using the difference of squares formula

a^2-i^2=(a+i)(a-i)

x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)

5 0
3 years ago
Middle school math with pozzazzi! Book C C-31 what did the football coach send in a bunch of second string players?
Tamiku [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

6 0
3 years ago
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