The zoo has 14 penguins. There are 6 more penguins than lions. How many lions are at the zoo?

Answer: $355.39

Step-by-step explanation: subtract 174.25,180.96,184.24 from 8194.84 =

Answer:

[tex] \frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)} [/tex]

Step-by-step explanation:

A rational function is

[tex] \frac{p(x)}{q(x)} [/tex]

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

[tex](x - p)[/tex]

Step 1: We have asymptote as 0 and -1 so our denomiator will include

[tex](x - 0)(x - ( - 1)[/tex]

Which is

[tex](x)(x + 1)[/tex]

So our denomator so far is

[tex] \frac{p(x)}{x(x + 1)} [/tex]

Step 2: Find Holes.

Since 12 is the value of the hole,

[tex](x - 12)[/tex]

is a the binomial.

This will be both on the numerator and denomator so qe have

[tex] \frac{(x - 12)}{x(x + 1)(x - 12)} [/tex]

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

[tex] \frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)} [/tex]

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

[tex] \frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12} [/tex]

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

[tex] \frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)} [/tex]

Above is the function,

Answer:

A

Step-by-step explanation:

If the mean of a standardized test with a normal distribution is 54.3 and the standard deviation is 4.6. what is the best approximation of the percent of the scores

that fall between 54.3 and 63.5?

Answer:

none of the fruit are not ripe

Answer: 25.1

Step-by-step explanation:

1. Find the radius of the inner circle

(the formula for the circumference of a circle is )   C =2pi r

To find the radius of the inner circle, you would plug in the given information so that your equation looks like this:

22 = 2(22/7)r

then solve for r

r = 3.5

2. add 4 to the radius of the inner circle

3.5 + 4 = 7.5

3. find the circumference of the outer circle using 7.5 as the radius

22 = 2 (22/7) 7.5

C = 47.1

4. Subtract the circumference of the inner circle from the circumference of the outer circle

47.1 - 22 = 25.1

Answer:13.1

Step-by-step explanation:

Area equation:S=[tex]S=\frac{1}{2} ab sinθ[/tex]

Answer:

Abput 12000 items were produced yes and i think it is nice that yk like yes

Step-by-step explanation:

Answer:

t=9

Step-by-step explanation:

Solve -

Distribute :7-(5t - 13) = - 25

7 - 5t + 13 = - 25

Add the numbers :7 – 57 + 13 = -25

20-51 = -25

Rearrange terms :20-51 = -25

-51+ 20 = -25

Subtract 20 from both sides :-51 + 20 = -25

-51+20-20-25-20

Simplify :Subtract the numbers

-51+ 20-20-25-20

-5:=-25-20

Subtract the numbers

-51 = -25-20

-51 = -45

-51 = -45

Divide both sides by the same factor : -51 = -45 -5t -5 -45- -5 =

Simplify : Cancel terms that are in both the numerator and denominator :: -5t - = -45 - -5

t = - 45 - -5

Divide the numbers :

t = - 45 - -5 ” t=9 ” here’s the answer

Answer:

He'll have to work for 12 weeks.

Step-by-step explanation:

19.20×25=480.00(how much he earns in a week)

5760/480=12

Answer:

3/1/5

3×5/1

15/1

15 you don't need diagram

Answer:

D

[tex]y-5=3(x+1)[/tex]

Step-by-step explanation:

We can see that the question is asking for the Point-Slope Form;

[tex]y-y_{1} =m(x-x_{1})[/tex]

The points go into the equation for [tex]y_{1}[/tex] and [tex]x_{1}[/tex]

[tex]y-5=m[x-(-1)][/tex]

M would be the slope;

[tex]y-5=3[x-(-1)][/tex]

Which basically is:

[tex]y-5=3(x+1)[/tex]

Answer:

8x

Step-by-step explanation:

The drawing of the air hockey table is 1/8th the size of the actual air hockey table so the scale factor the drawing uses is 8x

Answer:

I need more to solve!!

Have an amazing day!!

Answer:

Step-by-step explanation:

Use FOIL method.

(x -2)(x+3) = x*x + x*3 + (-2)*x + (-2)*3

                 = x² + 3x - 2x -6  {Combinelike terms}

                  = x² + x - 6

(x² + x -6)*(2x + 1) = x²*2x + x²*1 + x*2x +x*1 + (-6)*2x + (-6)*1

                             = 2x³ + x² + 2x² + x -12x - 6

                             = 2x³ + 3x² - 11x - 6

Answer:

(a) yes

(b) 1/36

(c) 1/36

(d) 1/18

Step-by-step explanation:

(a) yes they are independent as the outcome of one does not affect the outcome of the other.

(b) As the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(1 on green die) = 1/6

P(2 on red die) = 1/6

Therefore, P(1 on green die) AND P(2 on red die) = 1/6 × 1/6 = 1/36

(c) Again, as the dice are fair, each possible number (1 through 6) has the same probability of being rolled.

P(2 on green die) = 1/6

P(1 on red die) = 1/6

Therefore, P(2 on green die) AND P(1 on red die) = 1/6 × 1/6 = 1/36

(d) p[(1 on green die and 2 on red die) OR (2 on green die and 1 on red die)

= 1/36 + 1/36

= 2/36

= 1/18

Answer: The number in the tenth's place is 5

Step-by-step explanation:

There is no ones place in decimals

41.53

the tenth's place come first then the hundredth's and so on.

Answer:

5

Step-by-step explanation:

4 = tens

1 = ones

.

5 = tenths

3 = hundredths

Answer:

4

Step-by-step explanation:

All these numbers multiply by 4

Answer:

The answer is B.

Step-by-step explanation:

4÷4=1

8÷4=2

16÷4=4

24÷4=6

Answer:

x = 10

y = 6

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

⇒ m∠1 = m∠3

⇒ 10x = 100

⇒ x = 10

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ 100 + 10y + 20 = 180

⇒ 120 + 10y = 180

⇒ 10y = 60

⇒ y = 6

Part a)

The home value is $120,000 and they get a loan for $90,000.

This must mean the down payment was 120,000 - 90,000 = 30,000 dollars. This is the payment made up front.

The mortgage has a monthly payment of $786.60 which is done for 25 years = 25*12 = 300 months. They pay back 786*300 = 235,800 dollars.

Therefore, the total amount they pay for the house is:

downPayment + loanRepayment = 30,000 + 235,800 = 265,800

=======================================================

Part b)

Refer to the previous part. Laura and Martin pay back $235,800 after being loaned $90,000

The total amount of interest is 235,800 - 90,000 = 145,800 dollars.

=======================================================

Part c)

The annual interest rate is 9.5% which converts to the decimal form 0.095

Divide this over 12 to get the monthly interest rate in decimal form.

0.095/12 = 0.00791667 approximately

Then multiply this with the initial balance of $90,000

90,000*0.00791667 = 712.5003

This rounds to 712.50 and this represents the interest for the first month.

This leads to:

principal = monthlyPayment  - interest

principal = 786.60 - 712.50

principal = 74.10

It is unfortunately common practice that the starting monthly payments will be mostly interest. As time goes on, the increase payments decrease because they are tied directly to the remaining balance.

Answer:

x = 20 degrees.

Step-by-step explanation:

cos40∘=sin(x+30∘)​

sin (x + 30) = 0.766

x + 30 = arcsin 0.766 = 50

x = 50 - 30 = 20.

Answer:

x = 20

Step-by-step explanation:

cos(angle) = sin(complement of angle) , then

cos40 = sin(90 - 40) = sin50 , then

sin(x + 30) = sin50 , that is

x + 30 = 50 ( subtract 30 from both sides )

x = 20

Answer:

B

Step-by-step explanation:

to find the perimeter of a square its side*number of sides

which would be 8*4

to find the perimeter of a rhombus its 4*side length

which would be 4*8

therefore, its b they both have the same perimeter

Answer:

3.2

Step-by-step explanation:

Your input: find the slope given two points P=(2,10) and Q=(−3,−6).

The slope of a line passing through the two points P=(x1,y1) and Q=(x2,y2) is given by

m=y2−y1/x2−x1

We have that x1=2, y1=10, x2=−3, y2=−6.

Plug the given values into the formula for slope: m=(−6)−(10)/(−3)−(2)=−16/−5=16/5.

Answer: the slope of the line is m=16/5≈3.2.

Answer:

d = 12.6 ft

Step-by-step explanation:

From inspection of the given diagram, the diameter of the circle is equal to the shortest leg of the right triangle.  

Pythagoras Theorem explains the relationship between the three sides of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the legs of a right triangle.

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

Therefore, use Pythagoras Theorem to find the measure of d.

Given values:

Substitute the given values into the formula and solve for d:

[tex]\implies d^2+18^2=22^2[/tex]

[tex]\implies d^2+324=484[/tex]

[tex]\implies d^2=484-324[/tex]

[tex]\implies d^2=160[/tex]

[tex]\implies d=\sqrt{160}[/tex]

[tex]\implies d=12.6491106...[/tex]

Therefore, d = 12.6 ft (nearest tenth).

Learn more about Pythagoras Theorem here:

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Answer: 1250 square feet!

Step-by-step explanation:

A (25)=25•(100-2•25)=25•50=1250 Sq Ft

If you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, The largest area you can enclose will be 1250 sq Ft.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that if you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall.

Any rectangle's length and width differences must be as small as possible for the area to be maximized.

The largest area you can enclose

A =25×(100-2•25)

A=25•50

A=1250 Sq Ft

Thus, if you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, The largest area you can enclose will be 1250 sq Ft.

Learn more about the rectangle here:

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