2. A rectangle has length 13 and width 10. The length and the width of the rectangle are each
increased by 2. By how much does the area of the rectangle increase? *
50
20
38
35

Answer:

B=-5

Step-by-step explanation:

Slope=rise/run

The line passes in

P1(-1,3)

and

P2(0,-2)

So slope=(3-(-2))/(-1-0)=5/-1=-5

Answer:

B

Step-by-step explanation:

Answer: False

Step-by-step explanation:

There is no such deduction when a participation's questions are not answered correctly the first time. Whatever answer is given is part of the learning curve and ensures that the activity can be improved upon.

Had there been a small point deduction then there would be no opportunity to learn because there would be too much fear associated with the wrong answer.

Answer:

D. 30°

Step-by-step explanation:

By exterior angle theorem:

x° + 70° = 100°

x° = 100° - 70°

x° = 30°

x = 30

Answer:

65/264 or 0.2462

Step-by-step explanation:

The given series is

(1/1.2.3) + (1/2.3.4) + (1/3.4.5) + ………………

If we denote the series by

u(1) + u(2) + u(3) + u(4) +……………..u(n),

where u(n) is the nth term, then

u(n) = 1/[n(n+1)(n+2)] , n = 1,2,3,4,………n.

which can be written as

u(n) = (1/2) [1/n(n+1) - 1/(n+1)(n+2)] ………………………(1)

In the question, the number of terms n =10, thereby restricting us only to first 10 terms of the series and we have to find the sum for this truncated series. Let S(10) denote the required sum. We have then from (1),

u(1) = (1/2) (1/1.2 - 1/2.3)

u(2) = (1/2) (1/2.3 - 1/3.4)

u(3) = (1/2) (1/3.4 - 1/4.5)

u(4) = (1/2) (1/4.5 - 1/5.6)

u(5) = (1/2) (1/5.6 - 1/6.7)

u(6) = (1/2) (1/6.7 - 1/7.8)

u(7) = (1/2) (1/7.8 - 1/8.9)

u(8) = (1/2) (1/8.9 - 1/9.10)

u(9) = (1/2) (1/9.10 - 1/10.11)

u(10) = (1/2) (1/10.11 - 1/11.12)

Let us now add the terms on LHS and the terms on RHS independently. The sum of LHS is nothing but the sum S(10) of the series up to 10 terms. On the RHS, alternate terms cancel and we are left with only the first and the last term. Therefore,

S(10) = (1/2) (1/1.2 - 1/11.12) = (1/2) (66–1)/132 = [65/(132.2)]

= 65/264

= 0.2462 (correct to four decimal places)

#carryonlearnig

Answer:

she would need annual breast cancer screening with mammograms.

Step-by-step explanation:

hope this helps! hope you have a nice day.

Answer:

y - 2 = 36(x - 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 36 and (a, b ) = (4, 2 ) , then

y - 2 = 36(x - 4) ← equation of line

Step-by-step explanation:

just use (a+b)(a-b) = [tex]a^{2} - b^{2}[/tex][tex](4+\sqrt{3}) (4-\sqrt{3)} = 4^{2} - (\sqrt{3} )^{2} = 16 - 3 = 13[/tex]

answer is 13

Answer: determining if the training was responsible for any changes in performance

Step-by-step explanation:

Training evaluation is the process of analyzing if training are efficient and effective.

A problem with the pre-/post-measure of training evaluation is determining if the training was responsible for any changes in performance.

Given:

The expression is:

[tex]2x^3+mx^2+nx+c[/tex]

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

[tex]m+n=-6[/tex]

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

[tex]P(x)=2x^3+mx^2+nx+c[/tex]

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

[tex]P(2)=P(-1)[/tex]              ...(i)

Substituting [tex]x=-1[/tex] in the given polynomial.

[tex]P(-1)=2(-1)^3+m(-1)^2+n(-1)+c[/tex]

[tex]P(-1)=-2+m-n+c[/tex]

Substituting [tex]x=2[/tex] in the given polynomial.

[tex]P(2)=2(2)^3+m(2)^2+n(2)+c[/tex]

[tex]P(2)=2(8)+m(4)+2n+c[/tex]

[tex]P(2)=16+4m+2n+c[/tex]

Now, substitute the values of P(2) and P(-1) in (i), we get

[tex]16+4m+2n+c=-2+m-n+c[/tex]

[tex]16+4m+2n+c+2-m+n-c=0[/tex]

[tex]18+3m+3n=0[/tex]

[tex]3m+3n=-18[/tex]

Divide both sides by 3.

[tex]\dfrac{3m+3n}{3}=\dfrac{-18}{3}[/tex]

[tex]m+n=-6[/tex]

Hence proved.

Answer:

4 days at least

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

relative maximum

is

the highest point after it comes from infinity

and

the highest point before it goes back to infinity

Answer:

Step-by-step explanation:

Let "ab" represent the digits of the number. The value of "ab" is 10a+b.

a+b = 7

The value of "ba" is 10b+a

(10b+a) - (10a+b) = 9b-9a = 27

b-a = 3

a+b = 7

b-a = 3

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

2b = 10

b = 5

a = 2

The number is 25.

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex](-\frac{3}{4}) ^{-4}[/tex] × [tex](-\frac{3}{4}) ^{-11}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex] , that is

[tex](-\frac{3}{4}) ^{(-4-11)}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

[tex](-\frac{3}{4}) ^{-15}[/tex] = [tex](-\frac{3}{4}) ^{m}[/tex]

Equating exponents gives

m = - 15

Answer:

(24-8)4

(24-8)*4

16 *4

64

Answer:

Below.

Step-by-step explanation:

Ok so since 71 +25 = 96. A line segment is 180 so 180-96= 84. Hope this is right little hard to see.

Answer:the awnser would b 2

Step-by-step explanation: it’s telling you if you look at the triangle from ABC it’s 54 degrees, but if you look at it from BAC it’s 30 degrees so you can only draw 2 triangles because no other combination is given the only other information we know is the line connecting A and B is 5 in some length which is a line not a triangle it would be a triangle thou if lines BC and AC were given. Long story short it’s B) 2

Answer:

factorize first

16x^3y^2=2×2×2×2×x×x×x×y×y

24x^2y^3=2×2×2×3×x×x×y×y×y

take common=2×2×2×x×x×y×y

=8x^2y^2 which is the write answer

Answer:

C

Step-by-step explanation:

[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]

Hello,

[tex]u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}[/tex]

Using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4

y = abˣ, where a is the initial population, b is the rate, and x is the time, is the standard exponential function.

Here initial student population = 4000.

Rate = 5% = (100 + 5)/100 = 1.05

Time = 7 years.

Now, in 2017, the population will be y = 4000 * (1.05)⁷ = 5628.401691 ≅ 5628.4.

Therefore, using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4

Learn more about exponential function here -

https://brainly.com/question/14551308

#SPJ2

Answer:

Step-by-step explanation:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

(2x-3y+4z)²=(2x)²+(-3y)²+(4z)²+2(2x)(-3y)+2(-3y)(4z)+2(4z)(2x)

=4x²+9y²+16z²-12xy-24yz+16zx

We know that,

→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Now Putting 2x = a, -3y = b and 4z = c , we get

→ (2x - 3y + 4z)²

→ (2x)² + (- 3y)² + (4z)² + 2 × 2x × (- 3y) + 2 × (- 3y) × 4z + 2 × 4z × 2x

→ 4x² + 9y² + 16z² - 12xy - 24yz + 16zx

Arranging according to the like terms, we get

→ 4x² - 12xy + 16zx + 9y² - 24yz + 16z²

Answer:

1. 25

2. 44

3. 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

There is a non-removable discontinuity at x = 3

Step-by-step explanation:

We are  given that

[tex]f(x)=\frac{x^2+9}{x-3}[/tex]

We have to find true statement about given function.

[tex]\lim_{x\rightarrow 3}f(x)=\lim_{x\rightarrow 3}\frac{x^2+9}{x-3}[/tex]

=[tex]\infty[/tex]

It is not removable discontinuity.

x-3=0

x=3

The function f(x) is not define at x=3. Therefore, the function f(x) is continuous for all real numbers except x=3.

Therefore, x=3 is non- removable discontinuity of function f(x).

Hence, option B is correct.

Answer:

Let ten's place digit =x and unit place digit =y

Number=10x+y

x+y=5 ...(i)

10x+y−9=10y+x

9x−9y=9x−y=1 ...(ii)

from (i) and (ii) we get,

x=3,y=2

∴Number=10×3+2=32.

Step-by-step explanation:

Hope it helps!

Answer:

m = -1

n= -8

Step-by-step explanation:

5m -3n = 19

m - 6 = -7

solve for m:

m = -7+6

m = -1

plug in m

5(-1) - 3n = 19

-5 - 3n = 19

-3n = 24

n = -8

Answer:

Area of a Sector of Circle = (θ/360º) × πr²

[tex]area \: = \: \frac{70}{360} \times \frac{22}{7} \times 10 {}^{2} \\ = 61.11[/tex]

on rounding off to two decimal places:-

Answer:

a = 133 degrees

b = 78 degrees

Step-by-step explanation:

the top and bottom lines are parallel.

the two sidelines are lines that intercept the top and bottom lines.

as they intercept parallel lines, they actually must have the same angles with them.

so, the 47 degrees inner angle at the bottom line, must be also somewhere at the interception point with the top line. and right, it must be now mirrored the outward angle at the top line. and that means a (the inward angle at the top line) is also the outward angle at the bottom line.

the sum of inward and outward angles at a point must always be 180 degrees.

so, the outward angle of 47 = the inward angle a =

= 180 - 47 = 133 degrees.

similar in the other side.

102 is the inward angle.

the outward angle of that is 180 - 102 = 78 degrees.

and that is also the inward angle b.

b = 78 degrees