Can someone answer this please I don’t understand

Answer:

Option B

Step-by-step explanation:

Expression representing the series is,

[tex]\sum_{k=6}^{11}(2k+5)[/tex]

Here, k = Number of terms

By placing k = 6, 7, 8, 9, 10, 11 in the expression we can get the terms of the series.

For k = 6,

(2k + 5) = 2(6) + 5

            = 17

For k = 7,

(2k + 5) = 2(7) + 5

             = 19

For k = 8,

(2k + 5) = 2(8) + 5

            = 21

For k = 9,

(2k + 5) = 2(9) + 5

            = 23

For k = 10,

0(2k + 5) = 2(10) + 5

            = 25

For k = 11,

(2k + 5) = 2(11) + 5

            = 27

Therefore, expanded form will be,

17, 19, 21, 23, 25, 27

There, is a common difference in each successive to previous term,

d = 19 - 17

d = 2

Number of terms 'n' = 6

First term = 17

Sum of an arithmetic sequence is given by,

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

Therefore, sum of the given sequence will be,

[tex]S=\frac{6}{2}[2(17)+(6-1)2][/tex]

   = 3(34 + 10)

S = 132

Option B will be the correct option.

Given:

The line passes through the two points (–4, –3) and (12, 1).

The point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

To find:

The standard form of the equation for this line.

Solution:

The standard form of a line:

[tex]Ax+By=C[/tex]

The given point-slope form of the equation of the line is:

[tex]y-1=\dfrac{1}{4}(x-12)[/tex]

Multiply both sides by 4.

[tex]4(y-1)=(x-12)[/tex]

[tex]4y-4=x-12[/tex]

[tex]-4+12=x-4y[/tex]

[tex]8=x-4y[/tex]

Interchanging the sides, we get

[tex]x-4y=8[/tex]

Therefore, the standard form of the equation for this line is [tex]x-4y=8[/tex].

y = one-fourth x minus three-fourths got it on the edge

Answer:

8

Step-by-step explanation:

6.64mm² multiply the cm and get that

when you divide -8/2=-4 and 2/2=1

-4<1

when you divide by a negative number your sign changes

4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Answer:

see below

Step-by-step explanation:

When multiplying or dividing an inequality by a positive, the inequality remains the same direction

3x < 6

Divide by 3

3x/3 < 6/3

x <2

When multiplying or dividing an inequality by a negative, the inequality changes direction

-3x < 6

-3x/ -3 > 6/-3

x > -2

Answer:

12

Step-by-step explanation:

divide into two shapes. the first one being 2 x 4 units and the second being 2 x 2.

2 x 4 = 8

2 x 2 = 4

8 + 4 = 12

The answer is 12 square units.

Please mark brainliest if it was correct and helped!

Answer:

12

Step-by-step explanation:

just count the blocks

brainliest please???

Answer:

∠Q  = 53.13 degrees

Step-by-step explanation:

Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle

Hence using the notation

SOH CAH TOA

where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides

Considering  ∠Q and the given sides

PR=16cm is the opposite side,

PQ= 12 cm is the adjacent side hence we use TOA

Tan Q = 16/12 =

Q = Arc tan 16/12

= 53.13 degrees

Answer:

False

Step-by-step explanation:

I did the E2020 assignment

Answer:

1 [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

The largest is 1 [tex]\frac{4}{8}[/tex], and the smallest is [tex]\frac{2}{8}[/tex]. 1 [tex]\frac{4}{8}[/tex] - [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex].

Step-by-step explanation:

1. 90+65= 155°

2. π+ π/6 = 7π/6 or 210°

3. 24+180=204°

4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18

or 310°

Answer:

-13

Step-by-step explanation:

6-7 x 6+7

-1 x 13

-13

Answer:

x = -2 ± 452i

Step-by-step explanation:

x² + 4x = 117

x² + 4x - 117 = 0

if you solve this quadratic by using the quadratic formula you get:

x = -2 ± 452i

452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]

Answer:30 boys

Step-by-step explanation: There are 120 students, three-fourths are girls. Nine out of twelve is equal to three fourths, if you add a zero to the end of twelve and nine you get 90 out of 120, which is how many girls there are. If you subtract 90 from 120 you get 30 or one-fourth. The number of boys is equal to one-fourth because there is only one-foutlrth left. So, there are 30 boys.

Answer:

[tex] = (3209) - (1893) \\ = 1.32 \times {10}^{3} \\ = 1320[/tex]

[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]

Answer:

1320

Step-by-step explanation:

round off

3209 ≈ 3210

1893 ≈ 1890

estimated difference = 3210 - 1890 = 1320

Answer:permutations

Step-by-step explanation:

Answer:

the answer would be a

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

just got it correct

Answer:

Area of triangle 12 ft^2 Area of shaded region 84 ft^2

Step-by-step explanation:

area of triangle 6 x 4 / 2 =12

Shaded region 96-12= 84 ft^2

Answer: a^3 · a^2 ≠ a^6 as the laws of exponents states that the multiplication rule for two exponents with the same bases equates to addition, so that a^3 · a^2 = a^3+2 = a^5.

Answer:

a. true

b. false

c. false

d. true

e. false

Step-by-step explanation:

A. true, a shape is not warped by a rotation

b. false, the points on the figure will change

c. false, the size is not affected by a rotation

d. true, the orientation changes in a rotation

e. false, the coordinate points on the figure are altered

Answer:

A- The shapes of the figure does not change.

C- The size of the figure does not change.

D- The orientation of the figure does not change

Answer:

$560

Step-by-step explanation:

Answer:

A) -1

Step-by-step explanation:

anything raised to the zero power is 1 but if there is a negative without parentheses around it then it becomes -1

ex, (-4)° = 1

Answer:

It would be -1.

Step-by-step explanation:

This is because any postive number to the power of 0 equals 1 but since there is a negative sign, it would become -1.

Answer:

x=28

y=28

Step-by-step explanation:

Equation 1:

Dived both sides by 0.75 to remove 3/4 from x.

(x-12)=16

Now, add 12 to both sides.

x=28

Equation 2:

Same here, divide both sides by 0.75.

y-12=16

Add 12 to both sides.

y=28

Answer: - 2/3 but in decimal form it is -0.6 repeating

Step-by-step explanation:

Answer:

[tex]Area = 24\ in^2[/tex]

Step-by-step explanation:

Given

Let

[tex]a, b \to[/tex] opposite sides of each trapezoid

[tex]h \to[/tex] height

[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]

See attachment for trapezoids

Required

The combined area of the 4

First, we calculate the area of 1

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

So:

[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]

[tex]A_1 = \frac{1}{2}*6 * 2[/tex]

Using a calculator

[tex]A_1 = 6[/tex]

The combined area is:

[tex]Area =n * A_1[/tex]

Where

[tex]n = 4[/tex] --- 4 blades

So:

[tex]Area = 4 * 6[/tex]

[tex]Area = 24\ in^2[/tex]

Step-by-step explanation:

answer: 3/4 or 0.75

=5 1/4 - 4 1/2

=21/4 - 9/2

= (21-9) / 4

=3/4  or 0.75

Answer:

−21r

Step-by-step explanation:

=−r+−20r

=(−r+−20r)

=−21r

=−21r

hope this helps!! <3

Answer:

[tex]sin\theta = \frac{5}{14}\\\\\theta = sin^-1 \frac{5}{14}\\\\\theta = 20.9[/tex]

Option B: 20.9°