Math………………………..gomath

Answer:

-25

Step-by-step explanation:

We're given the sigma notation of a series.

[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]

The variable k is the "index of notation"

The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.

"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.

[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]

[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]

[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex] \mathsf{ \underline{- 25}}[/tex]

______________________

[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]

Let's see

[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]

[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]

[tex]\\ \rm\Rrightarrow 30-55[/tex]

[tex]\\ \rm\Rrightarrow -25[/tex]

The finance charge for the car loan Sarah took rounded to the nearest 100 dollars is 700 dollars.

A percentage is a value per hundredth. Percentages can be converted in decimals by dividing the percentage value by 100 it can also be simplified to keep it in a fraction form.

Given Sarah is taking a loan of 24,400 dollars for a new car.

Also given is the finance charge for this car loan is 2.88%.

We know 2.88% of 24400 dollars is,

= (2.88/100)×24400 dollars.

= 0.0288×24400 dollars.

= 702.72 dollars.

Which rounded to the nearest 100 dollars is 700 dollars.

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Answer:

by + ax + c = 0

              -c   -c

by + ax = d

by/b       d/b

ax/a = e/a

     f = x

Step-by-step explanation:

There were no numbers so I substituted them for letters :)

Answer:

-3 < x ≤ -1

Step-by-step explanation:

-8 < 5x + 7 ≤ 2

First, subtract 7 from all sides of the inequality:

-8 - 7 < 5x + 7 - 7 ≤ 2 - 7

-15 < 5x < -5

Divide all sides by 5 to isolate x:

-15 ÷ 5 < 5x ÷ 5 ≤ -5 ÷4

-3 < x ≤ -1

Hope this helps!

Answer:

Step-by-step explanation:

Given:

Find the following:

Since f(g(x)) = g(f(x)) = x, the functions are inverses of each other.

[tex]\\ \sf\longmapsto f(g(x))=4(x/4)=x[/tex]

[tex]\\ \sf\longmapsto g(f(x))=4x/4=x[/tex]

Choose one point on the graph of the

proportional relationship and explain what

this point means in terms of the situation.

Answer:

green= 7

purple=5

Step-by-step explanation:

we already know the trapezoid is 5 so 12-5=7

then since we know the green cresent is seven do 12- 7= purple = 5

Hope this helps

Answer:

your mom lol sooooooooooooo

The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].

Given expression is:

By applying the multiplication, we get

→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]

By multiplying the (-) sign into the bracket, we get

→ [tex]8-10i+24i-30i^2-3+2i[/tex]

→ [tex]5+16i-30i^2[/tex]

By arranging the terms, we get

→ [tex]-30i^2+16i+5[/tex]

Thus the answer above is right.

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Answer:

96

Step-by-step explanation:

Answer:

98 and 105

Step-by-step explanation:

Answer:

There is no solution.

Step-by-step explanation:

In simplifying this, you'd start by distributing the negative sign on the left.

-(6x + 6) + 2 = -6x - 3 becomes -6x - 6 + 2 = -6x - 3.

Then you can add -6 and 2 on the left.

-6x - 6 + 2 = -6x - 3 becomes -6x - 4 = -6x - 3.

With that done, you can add 4 to both sides.

-6x - 4 = -6x - 3 becomes -6x = -6x + 1.

Then, add 6x to both sides.

-6x = -6x + 1 becomes 0 = 1.

Here, we run into an issue - 0 does not equal 1, and there is no way to avoid running into this while solving this equation. This means that this problem has no solution, there is no value that x can have that would make it true.

Answer:

The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18

Explanation:

Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36

=> W = 18 - L

The Monday and Tuesday attendance are illustrations of proportions.

Tuesday's attendance is larger than Monday's 7500

The given parameters are:

[tex]\mathbf{Monday = 4 \times 10^2}[/tex]

[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]

The number of times (n) the Tuesday attendance is larger than Monday's is:

[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]

So, we have:

[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]

[tex]\mathbf{n = 7500}[/tex]

Hence, Tuesday's attendance is larger than Monday's 7500

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Answer:

Answer:    25

Step-by-step explanation:

    Ratio: 16:10

    Number of adults=40

    So,

        16     =     40

        10            x

16(x) =    40(10)                 [ CROSS-MULTIPLICATION ]

16x    =      400                   [ TRANSPOSE 16 TO THE RIGHT }

 x     =      25

Step-by-step explanation:

[tex]8 \times x = 24 \\ x = \frac{24}{8} \\ x = 3[/tex]

Answer:

3

Step-by-step explanation:

24 ÷ 8 = 3

8 × 3 = 24

....................

Answer:

(x−2)(x+5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

= > 3x + x^2 - 10

= > x^2 + 3x - 10

= > x^2 + (5 - 2)x - 10

= > x^2 + 5x - 2x - 10

= > x(x + 5) - 2(x + 5)

= > (x - 2) (x + 5) ... factors

Answer:

hgnatvaveBfsbztntsrqbrahrahrah

Answer:

The answer will be “B”

Step-by-step explanation:

If you liked this answer please give brainleist and rating! Hope this helps! ^_^

Answer:

A

Step-by-step explanation:

twice of the second angle

2b

15 less than it

2b - 15

that is the first angle

2b - 15 = a

:)

Answer:

67 / 72

Step-by-step explanation:

3/8 + 5/9 = 27/72 + 40/72 = 67/72

Answer:

6 ( x + 2 ) simplifies to 6x + 12 and 3 ( 4 + 2x )simplifies to 12 + 6x, so it can be determined that the equation has infinitely many solutions.

Step-by-step explanation:

As both sides are equal, any value substituted will be the same.

Answer:

48 because i720 divided into 15 groups calculate to 48

Answer:

(-914)×(0.1)×(-28)=2559.2

Answer:

Simplify the expression.

12xy−72yexponent 2 -6x

Step-by-step explanation:

got it from mathaway

Answer:

2

Step-by-step explanation:

Correct me if im wrong?

Answer:

Step-by-step explanation:

Exact Form:

x = 5 over 8

Decimal Form:

x = 0.2 over 7