There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
Humboldt penguins
Emperor penguins
Male
Female
Humboldt penguins
Emperor penguins

Answer:

-22

Step-by-step explanation:

We need to multiply the following:

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})[/tex]

First, we need to FOIL out this expression, then we can simplify it

[tex](\sqrt{10} +2\sqrt{8})(\sqrt{10}-2\sqrt{8})\\\\(\sqrt{10})( \sqrt{10} )+(2\sqrt{8})(\sqrt{10})-(2\sqrt{8})( \sqrt{10})-(2\sqrt{8})(2\sqrt{8}) \\\\10+2\sqrt{80} -2\sqrt{80} -4\sqrt{64} \\\\10-4(8)\\\\10-32\\\\-22[/tex]

The simplified expression after you multiply (square root 10 + 2 square root 8)( square root 10 - 2 square root 8) is -6.

To solve the given expression that needs you to multiply, let's first simplify the individual terms:

Square root of 10: √10

Square root of 8: √8 = √(4 x 2) = 2√2

Now, let's substitute these values into the expression:

(√10 + 2√8)(√10 - 2√8)

Using the distributive property, we can expand this expression as follows:

= (√10 x √10) - (√10 x 2√8) + (2√8 x √10) - (2√8 x 2√8)

= 10 - 2√80 + 2√80 - 4 x 8

= 10 - 16

= -6

Therefore, the simplified expression in square root is -6.

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Answer

1 is the second option, 2 is the third option

Step-by-step explanation:

for the first one divide both sides by 7 giving you z < -4

since z is less than the arrow will go to the left and will start at -4, but the will be an open circle since z is not equal to -4 answer b

for the second

it is 6/20 or 3/10

3/10 is 30% so answer c

Answer:

9 cm

Step-by-step explanation:

There's only one system of equations here.

Let's eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into  x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

Got lucky on that one.  

z = -1 - y = -1 - 2 = -3

x = -1 + y - z = -1 + 2  - -3 = 4

Answer: x=4, y=2, z= -3

Check:

x-y+z = 4 - 2 + -3 = -1, good

x+y+3x = 4+2+3(-3) =  -3, good

2x-y+2x = 2(4)-2+2(-3) = 0, good

After solving three equations, the result is x=4, y=2, and z=-3.

Therefore,

Eliminate x first,

x - y + z = -1

x = -1 + y - z

Substituting into x + y + 3z = -3 gives

(-1 + y - z) + y + 3z = -3

2y + 2z = -2

y + z = -1

Substituting for x into 2x-y+2z = 0 gives

2(-1 + y - z) - y + 2z = 0

-2 + 2y - 2z - y + 2z = 0

y = 2

z  = -1 - y

Simplifying the above equation then we get,

= -1 - 2

Z  = -3

x  = -1 + y - z

Substitute the value y and z the above equation,

= -1 + 2 - (-3)

Then we get

X  = 4

Hence, The value of x = 4, y = 2, and z = -3

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Answer:

point Form: (1,7)

Equation form: x=1, y=7

Step-by-step explanation:

Answer:

-4, 5, -19, 21.

Step-by-step explanation:

Hope this helps it was super confusing and i didnt rlly understand it. pls let me know if itss wrong and i will edit my answer. If right, mark be brainlist!

Answer:

X<-11/2

Step-by-step explanation:

Hope I helped:)

The inequality 2(4x+1)<3(2x-3) is x=-11/2

We have given that,

[tex]2\left(4x+1\right) < 3\left(2x-3\right)[/tex]

We have to determine the value of the x

Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

[tex]8x+2 < 6x-9[/tex]

Subtract 2 from both sides

[tex]8x+2-2 < 6x-9-2[/tex]

Simplify

[tex]8x < 6x-11[/tex]

subtract

[tex]8x-6x < 6x-11-6x[/tex]

Simplify

[tex]2x < -11[/tex]

divide 3 both sides by 2

x=-11/2

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Answer:

the answer for this question is x = 13

Step-by-step explanation:

But where the option for this question?

Answer:

2:50 pm

Step-by-step explanation:

In order to find the amount of time it takes to complete your errands, we first have to find the time it takes to complete them.

20+25+15+10=45+25=70

So, it will take 70 minutes, or 1 hour and 10 minutes to complete your errands.

We need to find what time 1 hour and 10 minutes before 4:00 is. So, one hour before 4:00 is 3:00. Then, 10 minutes before 3:00 pm is 2:50. Therefore, you have to start your errands at 2:50 pm.

Answer: 8/9n - 1 1/3

BTW * MEANS TIMES

Step-by-step explanation:

Given that:   4/9(2n - 3) .....[1]

The distributive property says that:

a * (b + c) = a * b + a* c

Apply the distributive property in equation [1] we get;

4/9 *  2n + 4/9 * (-3)

Simplify:

8/9n - 4/3

We can write 4/3  in mixed fraction as:

4/3 = 1 1/3

then;

8/9n - 1 1/3

Therefore, the expression which is equivalent to 4/9(2n - 3)  is, 8/9n - 1 1/3

Answer:5 1/3

Step-by-step explanation:

Hope I helped u :)

Answer: if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

Step-by-step explanation:

Here x will represent the number of minutes.

with $60 you have 450 minutes, and you must pay 60 regardless of how much minutes you use.

so if  0 < x ≤ 450, y = $60.

now, if you call for more than 450 minutes, you get an additional of $0.35 per minute, then we have:

if 450 < x ; y = $60 + (x - 450min)*$0.35

where we use (x - 450)*$0.35 because any minute after the 450 minute mark is considerated an additional time.

So our piecewise function is:

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min)*$0.35

if  0 < x ≤ 450, y = $60.

if 450 < x ; y = $60 + (x - 450min) × $0.35

Here x will represent the number of minutes.

so if  0 < x ≤ 450, y = $60.

And,

if 450 < x ; y = $60 + (x - 450min) × $0.35

where we use (x - 450) ×$0.35 since any minute after the 450 minute mark is considered an extra time.

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Answer:

1/6

Step-by-step explanation:

The probability of one dice being a particular number is 1/6. The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.

Answer:

b

Step-by-step explanation:

Answer:

D. [tex] 3.77 \times {10}^{7} [/tex]

Step-by-step explanation:

Number of more people living in California than in Maine =

[tex]3.9 \times {10}^{ 7} - 1.3 \times {10}^{6} \\ = 39 \times {10}^{ 6} - 1.3 \times {10}^{6} \\ = 37.7 \times {10}^{6} \\ = 3.77 \times {10}^{7} [/tex]

Answer:

Height of the cylinder is 1ft

Step-by-step explanation:

Data ;

Volume = 314ft³

Assuming radius = 10ft

Height = ?

π = 3.14

Volume of a cylinder = πr²h

r = radius

h = height of the cylinder

Vol = πr²h

314 = 3.14 × 10² × h

314 = 314h

Solve for h,

h = 314 / 314

h = 1ft

The height of the cylinder is 1ft.

Answer:d

Step-by-step explanation:

the answer us d becasue you have to add all the sides together

Answer: The blue dot is 20.

Step-by-step explanation:

Answer:

a.ABCD is reflected over both axes.

Step-by-step explanation:

Reflection over x-axis transforms point (x, y) into (x, -y)

Reflection over y-axis transforms point (x, y) into (-x, y)

Then, reflection over both axes transforms point (x, y) into (-x, -y). Applying this rule to figure ABCD:

A (-2, 2) -> (2, -2) which corresponds to point A'

B (-1, 2) -> (1, -2) which corresponds to point B'

C (-1, 1) -> (1, -1) which corresponds to point C'

D (-3, 1) -> (3, -1) which corresponds to point D'

Answer:

It is a

Step-by-step explanation:

hope this helps

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Answer:

HEADS UP= 30/50

TAILS UP= 20/50

Step-by-step explanation:

Answer:

C. A translation and a dilation

Step-by-step explanation:

Of course it has to be a dilation as the size is obviously different. So that takes D out of the question. The angles are in the same spots as B is still at the highest on both triangles and so does A. Which means it just translated (moved/slide) to the right and up a bit.

Answer:

12x+4y=132

Step-by-step explanation:

Just substitute the numbers in then substitute the others in, 12 times 6 and 4 times 15 then add the two together

Answer: Kyra must earn at least 100% on the final exam.

Step-by-step explanation: Kyra's scores have been accumulating from Q1 to Q4 and then the mid term exam. Her scores are outlined as follows;

Q1 = 92, Q2 = 85, Q3 = 88, Q4 = 84, mid-term = 89.

Observe carefully that the data set (number of observed data) is 5.

What she needs now is a final average score of at least 90% after her final exam. She can use this to determine what she needs to score in her final exam. In other words, now that she has a average score, all she needs is a total of all her scores up till her final exam. Note that after writing her final exam, the data set would be six and no longer five.

Before writing her final exam, Kyra's average score was calculated as;

Average = (92 + 85 + 88 + 84 + 89)/5

However after she must have written her final exam, her average would be calculated as;

Average = (92 + 85 + 88 + 84 + 89 + x)/6

Where average is given as 90 and x is the final exam score, you now have

90 = (438 +x)/6

90*6 = 438 + x

540 = 438 + x

Subtract 438 from both sides of the equation

102 = x

Therefore from the results shown, Kyra must score up to 102% in her final exam. However, knowing that she cannot obtain a score higher than 100%, we can conclude that she must score nothing less than 100% (a hundred percent) in her final exam.

Answer:

441 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of a square and rectangle = bh

Square

Base = 15

Height = 15

15 x 15 = 225

Rectangle

Base = 24

Height = 9

24 x 9 = 216

Add them together

216 + 225 = 441

Answer:

(25/y)+4

Step-by-step explanation:

(25/y)+4

Quotient of 25 and y (25/y)

Four more (+4)

Answer:

Step-by-step explanation:

f(x) = 8x + 2

then

f(6) = 8(6) + 2

     = 48 + 2

     = 50

____________________________

:)