Kiara made a square baby blanket she decided to add one foot of material to one side then cut 4 inches of material off from the bed to sit outside of area of the rest salting blankets in 960 square inches find the area of the original blanket​

Answer:

2x^2-x-3

(2x)(-3)

(x)

(1)

Step-by-step explanation:

Distribute

(2x^2) (-3x)

(2x) (-3)

Answer:

she have 29 seed for the pasture

Answer:

5

Step-by-step explanation:

An absolute value is NEVER negative.

|9 - 14| = |-5| = 5

Answer: 5

The value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]

From the given diagram, we have the following

The required angle is x

Using the SOH CAH TOA identity

[tex]cos \theta =\frac{adj}{hyp}\\ cos \theta =\frac{14}{13}\\ \theta = arccos(\frac{14}{13} )[/tex]

Hence the value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]

Learn more on SOH CAH TOA here: https://brainly.com/question/22307176

Answer:

Yes, that is correct.

Step-by-step explanation:

Answer:

97/100

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

Probability that the DVRs is not faulty = total number of faulty videos / total number of videos

total number of faulty videos = 100 - 3 = 97

total number of videos = 100

97/100

Answer:

Step-by-step explanation:

134-(-80)=134+80=214

Answer:

Convert the decimal to a percentage by multiplying the decimal by  

100 .

500%

700%

900%

400%

Answer:

4x + 12x = 320

16x = 320

x = 20

Step-by-step explanation:

This is because the diagram shows 4x + 12x and the total being, 320.

4x + 12x = 16x

and 320/16 = 20

so x = 20

hope this helped :)

Answer:

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Step-by-step explanation:

The statement describes an arithmetic progression, which is defined by following formula:

[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)

Where:

[tex]p_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Progression rate.

[tex]n[/tex] - Index of the n-th element of the sequence.

[tex]p(n)[/tex] - n-th element of the series.

If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:

[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]

[tex]r = 4[/tex]

The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].

Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 1197[/tex]

And the next three terms of the sequence are:

n = 5

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 17[/tex]

n = 6

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 21[/tex]

n = 7

[tex]p(n) = 1 + 4\cdot (n-1)[/tex]

[tex]p(n) = 25[/tex]

The next three terms of the sequence are 17, 21 and 25.

The 300th term of the sequence is 1197.

Answer:

2/5!

Step-by-step explanation:

Answer:

Step-by-step explanation:

"quaratic" should be "quadratic."

The coefficients of this quadratic are 4, 2 and -1.  Thus, the discriminant is

b^2 - 4ac, or here, 4 - 4(4)(-1) = 20

Since the discriminant is positive, our quadratic has two real, different roots.

                                -2 ± (√4)(√5)

The roots are:  x = ---------------------

                                       2(4)

                                    -1 ± √5

This reduces to   x = ---------------

                                           8

Answer:

a) 64° each

b) 15.78 cm

c) 51.78 cm

Step-by-step explanation:

a) (180 - 52)/2 = 64°

b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm

c) 18 + 18 + 15.78 = 51.78 cm

Answer:

1. (x,y)=

2. (3, 480°), (3,-240°), (-3, -60°)

3. (-17, -1.08)

4. on the second circle from the center and 153° clockwise from the horizontal axis

Step-by-step explanation:

took quiz...100%

Answer:

A. 60 + x = 90

Step-by-step explanation:

Complementary angles add up to 90 degrees so

60 + x = 90

Answer:

The answer is A: 60 + x = 90

Step-by-step explanation:

Complimentary angles are two angles that add up to 90, so the equation 60 + x = 90 is what you need to use to find the complimentary angle. I hope this helps :)

Answer:

Step-by-step explanation:

1) a + a

2) 2n+4 = 6n

3)   1

4n = 4

n = 1

Answer: A and B

Step-by-step explanation:

The shape is moving from right to left and down

Answer:

perimeter of rectangle = 2 (length + breadth)

= 2(9x + 6y + 13x + 2y)

= 2(22x +8y)

= 44x + 16y

Step-by-step explanation:

9x+6y

9-9x+6-9y both side subtract 9

x+(-3)y

x-3y the answer

13x+2y

13-13x+2-13y

x+(-11)y

x-11y .

follow me

Answer:

The first term is 10.

The second term is 16

The third term is 22.

We can see that the first term plus 6, is:

10 + 6 = 16

Then the first term plus 6 is equal to the second term.

And the second term plus 6 is:

16 + 6 = 22

Then the second term plus 6 is equal to the third term.

A) As we already found, the recursive rule is:

Aₙ = Aₙ₋₁ + 6

B) The explicit rule is:

Aₙ = A₁ + (n - 1)*6

Such that A1 is the first term, in this case A₁ = 10

Then:

Aₙ = 10 + (n - 1)*6

C)

Now we want to find A₅, then:

A₅ = 10 + (5 - 1)*6 = 34

There are 34 chairs in row 5.

D)

Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:

C = A₀ + A₁ + ... + A₁₆

This summation can be written as:

∑ 10 + (n - 1)*6        such that n goes from 0 to 16.

The formula  for the sum of the first N terms of a sum like this is:

S(N) = (N)*(A₁ + Aₙ)/2

Then the sum of the 17 rows gives:

S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.

There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.

A rule defined such that its definition includes itself.

Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.

For this case, we're provided that:

Seats in rows are 10 in front, 16 in second, 22 in third, and so on.

10 , 16 , 22 , .....

16 - 10 = 6

22 - 16 = 6

...

So consecutive difference is 6

If we take [tex]T_i[/tex] as ith term of the series then:

[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]

Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]

From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]

Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]

For 5th row, putting n = 5 gives us:

[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]

If the auditorium has 17 rows, then total chairs are:

[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]

(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )

Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].

Learn more about recursive rule and explicit rule here:
https://brainly.com/question/12620593

Answer:

D. zero product property

Step-by-step explanation:

Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.

Thus,

xy = 0, therefore,

x = 0 or y = 0

Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.

Answer:

B

Step-by-step explanation:

the notation answer would also be 3.246 × 10-4 i believe :)

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°