ABCD is a rectangle. MBCE = 4x-23 and mDCE = 5+5x.

Answer:

First term: 2x+1

Second term: 3x+3

Step-by-step explanation:

The coefficient of x is going up by 1 time each time while the constant term is going up by 2.

We are looking at these two questions basically:

1) What are the first two terms in?

_,_,4,5,6,7,8

2) What are the first two terms in?

_,_,5,7,9,11,13

Answers:

1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.

So before 4, we have 3.

Before 3, we have 2.

The sequence for the coefficient of x is 2,3,4,5,6,7,8

2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.

So before 5, we have 3.

Before 3, we have 1.

The sequence for the constant term is 1,3,5,7,9,11,13.

So first two terms of the sequence in ascending order according to the sequence is:

2x+1

3x+3

It looks like the vector field is

F(x, y) = 3x ^(2/3) i + e ^(y/5) j

Find a scalar function f such that grad f = F :

∂f/∂x = 3x ^(2/3)   =>   f(x, y) = 9/5 x ^(5/3) + g(y)

=>   ∂f/∂y = e ^(y/5) = dg/dy   =>   g(y) = 5e ^(y/5) + K

=>   f(x, y) = 9/5 x ^(5/3) + 5e ^(y/5) + K

(where K is an arbitrary constant)

By the fundamental theorem, the integral of F over the given path is

∫c F • dr = f (0, 1) - f (1, 0) = 5e ^(1/5) - 34/5

Answer:

4:5

Step-by-step explanation:

If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.

However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.

12:15

= 4:5

So, the ratio of boys to girls in Timara's class is 4:5

Answer:

Step-by-step explanation:

Hope this explanation helps. :)

Answer:

the answer to x  is 33

Step-by-step explanation:

The whole thing must equal 180 degrees

Answer:

7

Step-by-step explanation:

5/15=1/3

21÷3=7

1×7=7

3×7=21

n=7

Answer:

7

Step-by-step explanation:

5÷5=1

15÷5=3

thus,

5/15=1/3

1/3=n/21

n=?

21÷3=7

n=7

Answer:

17 hours

Step-by-step explanation:

We first need to find the hourly rate:

156 / 12 = 13

Hourly Rate: $13

Now we can divide 221 by 13, this gives us 17.

That means that Frank will have to work 17 hours to make $221.

Hope this helps!

Answer:

Step-by-step explanation:

the answer is in the above image

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Answer: Systematic sampling

Step-by-step explanation:

Systematic sampling is a method when sample members from a population are selected based on a random starting point but in this case, there's a fixed, periodic interval.

It involves the selection of every kth case from the population given. Since the researcher extracts information about hospital readmissions from a population of 6,000 client records and samples every 20th record from the population, beginning with record number 5, then this is a systematic sampling.

Answer:

[tex]P(Female\ or\ Physics) = 0.38[/tex]

Step-by-step explanation:

Given

[tex]n = 50[/tex] --- total

[tex]Physics =10[/tex]

[tex]Female= 12[/tex]

[tex]Both = 3[/tex]

Required

[tex]P(Female\ or\ Physics)[/tex]

This is calculated as:

[tex]P(Female\ or\ Physics) = P(Female) + P(Physics) - P(Both)[/tex]

So, we have:

[tex]P(Female\ or\ Physics) = \frac{Female+ Physics - Both}{n}[/tex]

[tex]P(Female\ or\ Physics) = \frac{10+ 12- 3}{50}[/tex]

[tex]P(Female\ or\ Physics) = \frac{19}{50}[/tex]

[tex]P(Female\ or\ Physics) = 0.38[/tex]

The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.

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Answer:

-57

Step-by-step explanation:

-19 * 3 = -57

Hope this helps!

Answer:

check the picture

Step-by-step explanation:

I hope this help

Answer:

First you need to state the equation that represents the function.

Investment is $200 and interest rate is 5%, y is the amount of money after x periods.

Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2

After 3 periods the amount is 200 (1.05)^3

And now you can deduce that after x periods y = 200 (1.05)^x

You can then analyze the function to predict the shape and critical points of the graph.

The answers are based in the initial value and the increasing factor.

The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200

And the increasing factor is 1.05 because any value is the previos one times 1.05.

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

common denominator for 7z and 3z is 21z

4/7z = 12/21z

2/3z = 14/21z

12/21z + 14/21z = 13

26/21z = 13

cross-multiply to get:

26z = 273

z = 273/26

z = 10.5

Answer:

z = 10.5

Step-by-step explanation:

(4/7)z + (2/3)z = 13

multiply by 21 to eliminate the fractions

12z + 14z = 273

26z = 273

Divide both sides by 26

z = 10.5

Answer:

<A = 45

<B = 110

<C = 25

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+ x+65 +25 = 180

Combine like terms

2x+90 = 180

Subtract 90

2x+90-90 = 180-90

2x = 90

Divide by 2

2x/2 = 90/2

x = 45

<A = x = 45

<B = x+65 = 45+65 = 110

<C = 25

∠A = 45 °

∠B = 110 °

∠C = 25 °

Step-by-step explanation:

We know that sum of all angles of triangle is 180°.

x + x + 65 ° + 25 ° = 180 °

combine like terms

2 x + 90 ° = 180 °

Subtract 90 ° from each side

2 x + 90 ° - 90 ° = 180 ° - 90 °

2x = 90 °

Divide 90 ° by 2.

x = 90 ° / 2

x = 45 °

Therefore,

∠A= x = 45 °

∠B = x + 65 ° = 45 ° + 65 ° = 110 °

∠C = 25 °

Answer:

17

Step-by-step explanation:

4a - 4 = 2a + 30

2a = 34

a = 17

Answer:

9.16

Step-by-step explanation:

by using pythagorean theorem,

given that PQ=4 and NQ = 2×5 = 10

NP²= NQ²-PQ²

= 10²-4²

= 100-16

= 84

NP = √84 = 9.16

Answer:

440.

Step-by-step explanation:

56/7=8

8x55=440.

Answer:

440

Step-by-step explanation:

56 divided by 7 equals 8 which means she gets 8 dollars an hour so to find out how much she gets for 55 just multiply 55 times 8.

Answer:

23x2+8xy−57y2

Step-by-step explanation:

(5x)(5x)+(5x)(7y)+(−7y)(5x)+(−7y)(7y)+−2x2+8xy+−8y2

=25x2+35xy+−35xy+−49y2+−2x2+8xy+−8y2

Combine Like Terms:

=25x2+35xy+−35xy+−49y2+−2x2+8xy+−8y2

=(25x2+−2x2)+(35xy+−35xy+8xy)+(−49y2+−8y2)

=23x2+8xy+−57y2

Plz mark brainlest :)

Answer:

f(3) = -8

Step-by-step explanation:

f(3) means find the y value when x=3

Using the graph the y value when x =3 is -8

f(3) = -8

Answer:

Step-by-step explanation:

Answer:

-1, 0, 1

Step-by-step explanation:

the blue and red lines overlap to give a solid dot above -1 through to 2, which has an open dot above

therefore, -1 ,0, 1 are the only integers that would be in the solution set

Answer:

can i have the choices

Step-by-step explanation:

Answer:

y ≥ 1

Step-by-step explanation:

The range is the values the y value can take

y ≥ 1

Answer:

C = 5^2 * Pi * 8

Step-by-step explanation:

Formula = [tex]r^{2}[/tex]*Pi*h

r = d / 2

d=10, so r=5

h = 8