What is the sum of the first five terms in this series?
6 - 6/3 + 6/9 - 6/27 + . . .?

Answer: 1 28/100 or 1 7/25

Step-by-step explanation:

Answer:

[tex](x-2)^2-30[/tex]

Step-by-step explanation:

use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, and c.

[tex]a=1, b= -4, c = -26[/tex]

consider the vertex form of a parabola

[tex]a(x+d)^2+e[/tex]

substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]

[tex]d=\frac{4}{2(1)}[/tex]

simplify the right side.

find the value of e using the formula [tex]e=c-\frac{b^2}{4a}[/tex]

[tex]e=30[/tex]

1st-causation i think bc its a cause for thim not to go outside

2nd-likely cause       i put likely cause bc it says its low temp. and he said low tempetures cause his to stay inside.

[tex]\pmb{AnSwEr\::}[/tex]

these ratios are not equivalent . Please consult "Explanation" for more details

[tex]\bold{ExPlAnAtIoN}\downarrow[/tex]

We can write the ratios 1 : 4 and 3 : 10 as fractions :

[tex]\text{$\displaystyle\frac{1}{4} $}[/tex]

and

[tex]\text{$\displaystyle\frac{3}{10} $}[/tex]

Put the fractions together :

[tex]\text{$\displaystyle\frac{1}{4} \:and\:\frac{3}{10}$}[/tex]

Both fractions are in their simplest form ; the numerator and denominator do not have any common factors , except 1 , and there's no point in dividing by 1.

[tex]\small\text{hope helpful ( : }[/tex]

Answer:

A square root is a factor of a number that, when multiplied by itself, gives the original number. An example is √9 = 3

Hope this helped! I would appreciate a Brainliest!

Answer:

The square root is the answer to an equation with two number multiplied by itself. Say for example, b/a = a, a is the square root of b. Let's say b = 144 and a = 12, 12 would be the square root of 144.

Step-by-step explanation:

Example 1:

144/12 = 12

12 is the square root of 144

Example 2:

64/8 = 8

8 is the square root of 64

Example 3:

81/9 = 9

9 is the square root of 81

Answer:

x = -2

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

3x+7−7=1−7

3x=−6

Step 2: Divide both sides by 3.

3x/3 = −6/3

x = −2

The best prediction for the number votes Pierre should expect to receive is 40 votes

From the question, we are determine the best prediction for the number of votes Pierre should expect to receive

From the given information,

He takes a poll of 34 random students and finds that 5 said they would vote for him

Then, we can assume that,

Out of every 34 random students, 5 would vote for him

The total number of students that will vote = 272

There are eight 34s in 272

NOTE: 272 ÷ 34 = 8

Then, he should expect 8 × 5 votes

8 × 5 votes = 40 votes

Hence, the best prediction for the number votes Pierre should expect to receive is 40 votes

Lear more on Calculating the number of vote here: https://brainly.com/question/8926818

#SPJ1

The values of r and w will be 50 and 140 degrees.

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

From the Exterior Angle of a Triangle Property;

38° + 103° = w

w = 140°

Let x be the exterior angle so that

x = r + 90°

Similarly,

By vertically opposite angle;

w = x

So, x = r + 90°

140 = r + 90°

r = 140 - 90

r = 50

Hence, the values of r and w will be 50 and 140 degrees.

Learn more about exterior angles;

https://brainly.com/question/14164971

#SPJ1

Answer:

1.66667

Step-by-step explanation:

9------1

15-----?

We divide 9 by 9 to get 1 so we divide 15 by 9 to get ?

15 / 9 = 1.66667

Answer:

5/3 hours ( answer in fraction )

1.66 hours ( answer in decimal )

Step-by-step explanation:

Given,

Distance ( d ) = 15 kilometer ( 15 km )

Velocity ( v ) = 9 kilometers per hour ( 9 km / h )

To find : Time ( t )

Formula : -

v = d / t

t = d / v

= 15 / 9

t = 5/3 hours

( or )

t = 1.66 hours ( approximately )

Note : -

1. If the sentence " rate of kilometers " is there, then it is velocity.

2. If the sentence " How long will it take " is there, then it is time.

The number rounded to the nearest ten will be 1640. The number is grater than the 5 on the scale.

If the digit in the units place is between 0  and 10 i.e., 5, then the unit digit is substituted by 0.

If the digit in the units place is between 5 and 9, that is, > or 5 but less than 10, the units place is replaced by '0,' and the tens place is incremented by 1.

The given number is;

x=1637.984

The number is 7.9 grater than 5. So that the number is rounded to the nearest whole number,i.e.1640

Hence,the number rounded to the nearest ten will be 1640.

To learn more about the rounding number to the nearest ten refer:

https://brainly.com/question/6685026

#SPJ1

Answer:

A.  P(A l B) = x

Step-by-step explanation:

For independent events A and B,

P(B | A) = P(B)

P(A | B) = P(A)

P(A ∩ B) = P(A)P(B)

If P(A) = x   and   P(B) = y  then:

⇒ P(B | A) = y

⇒ P(A | B) = x

⇒ P(A ∩ B) = xy

Therefore, the correct solution from the options given is:

A.  P(A l B) = x

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20.70\% of 5029196}}{\left( \cfrac{20.70}{100} \right)5029196}\implies 1041043.572[/tex]

Answer:

Shaded square 1: 4

Shaded square 2: 6

Shades square 3: 2

*Sorry all I can get at the moment is the shaded squares I'm still a little new to this

Step-by-step explanation:

Answer:

imaginary form

Step-by-step explanation:

So how we represent?

Let a number be -9

Find square root

So

i stands for iota and has value √-1

The sum of the arithmetic series with the parameters  t1 = -2, t3 = 7, and n = 15 is 442.5

The given parameters are:

t1 = -2

t3 = 7

n = 15

Start by calculating the common difference using:

Tn = t1 + (n- 1)d

So, we have:

7 = -2 + (3 - 1) * d

Evaluate

7 = -2 + 2d

Add 2 to both sides

2d = 9

Divide by 2

d = 4.5

The sum  is then calculated using:

[tex]S_n = \frac n2 * (2a + (n - 1) * d)[/tex]

So, we have:

[tex]S_{15} = \frac {15}2 * (2*-2 + (15 - 1) * 4.5)[/tex]

Evaluate

[tex]S_{15} = 442.5[/tex]

Hence, the sum of the arithmetic series is 442.5

Read more about arithmetic series at:

https://brainly.com/question/6561461

#SPJ1

Answer:

Six units to the right and 3 units up.

Step-by-step explanation:

Answer:

Six units to the right and 3 units up

Answer:

answer is 45 trust me im passing this concept

Step-by-step explanation:

Answer:

x= -2/9

Step-by-step explanation:

step 1: isolate the variable

27x+4 = 9x

-9x. -9x

18x+4 = 0

-4. -4

18x = -4

step 2: isolate the variable by dividing both sides by the coefficient

18x = -4

÷18. ÷18

=

x = -2/9

(x is equal to negative 2 ninths)

Answer:

x = 7/3

Step-by-step explanation:

Given equation:

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

Take square root both sides of the equation:

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

Therefore, the value of "x" must be 7/3.

Answer:

x = 7∕3, –7∕3

Step-by-step explanation:

To find the solutions of the quadratic equation -9x^2 + 49 = 0, we can solve for x by isolating x^2 first:

-9x^2 + 49 = 0

-9x^2 = -49

Dividing both sides by -9, we get:

x^2 = 49/9

Taking the square root of both sides, we get:

x = ± 7/3

Therefore, the solutions of the quadratic equation -9x^2 + 49 = 0 are x = 7/3 and x = -7/3.

By using '' ASA congruency theorem'' these triangles are congruent.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles are shown in figure.

Now, We have to given in both triangles,

Two angles are equal to each other.

And, One side of both triangles are common.

Hence, By using ''ASA congruency theorem'' these triangles are congruent.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

3.25 rounded to 3

Step-by-step explanation:

If she liked 1/4 of the colors, then we would divided by 13 by 4 to get 3.25.

She can't like 1/4 of a color though, so we would round to 3.

Answer:

224 cm²

Step-by-step explanation:

Look at the figure below.

All sides are in cm. All areas are in cm².

Triangle A:

A = bh/2 = 8 × 21 / 2 = 84

Rectangle B:

A = LW = 9 × 8 = 72

Rectangle C:

A = LW = 4 × 5 = 20

Triangle D:

A = bh/2 = 6 × 16 / 2 = 48

Total area = 84 + 72 + 20 + 48 = 224

Answer: 224 cm²

The diameter length is 30.

We know that the general equation for a circle is(x−h)²+(y−k)²=r²,

where ( h, k ) is the center and r is the radius.

As we know form of a circle.

We will use this form to determine the diameter of the circle.

(x−h)²+(y−k)²=r²

Given equation is :

(x-7)²+(y-2)²=225

(x-7)²+(y-2)²=(15)²

On comparing the above equation with the with equation of circle, we have

r²=(15)²

r=15

So, the diameter will be the twice the radius.

diameter= 2r

diameter= 2*15

diameter= 30

Learn more about equation of circle here:

https://brainly.com/question/10618691

#SPJ1

The common difference on the sequence is -3 and the number of books will be 21.

The formula that can be used to calculate the number of books will be:

= a + (n - 1)d

= 57 + (13 - 1)-

= 57 + (12 × -3)

= 57 - 36

= 21

Also, from the information given, each row has three fewer books than the row below it. Therefore, the common difference is -3.

Learn more about sequence on:

https://brainly.com/question/1275192

#SPJ1

Answer:

188 meters cubed

Step-by-step explanation:

Using the Fundamental Counting Theorem, it is found that Kami could create 40,000 codes that start with an even number.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Hence:

[tex]N = 4 \times 10^4 = 40000[/tex]

Kami could create 40,000 codes that start with an even number.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

#SPJ1

Answer:

S₁₃ = 455

Step-by-step explanation:

the sum to n terms of an arithmetic is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

We require to find both a₁ and d

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

given a₄ = 20 and a₁₃ = 65 , then

a₁ + 3d = 20 → (1)

a₁ + 12d = 65 → (2)

subtract (1) from (2) term by term to eliminate a₁

9d = 45 ( divide both sides by 9 )

d = 5

substitute d = 5 into (1) and solve for a₁

a₁ + 3(5) = 20

a₁ + 15 = 20 ( subtract 15 from both sides )

a₁ = 5

Then

S₁₃ = [tex]\frac{13}{2}[/tex] [ (2 × 5 ) + (12 × 5 ) }

     = 6.5 (10 + 60)

     = 6.5 × 70

     = 455

Since the figure is a trapezoid, we must use the trapezoid area formula, [tex]A = (b_1 + b_2) / 2 * h[/tex]. By doing so, we can plug in the shown numbers on the image. After that, we multiply.

[tex]A = (8 + 14) / 2 * 5[/tex]

[tex]A = 22/2 * 5[/tex]

[tex]A = 11 *5[/tex]

[tex]A = 55^2[/tex]

The area of the trapezoid is 55 squared yards.

Answer: (7x + 1)(x + 7)

Step-by-step explanation:

[tex]$$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$$[/tex]