TiME liMIt HELPPPPPPP:
There are 8 boys and 6 girls in a class. 3 boys
and 3 girls out of the class are going on a picnic.
The others are going on an education tour.

A. In how many different ways can the
picnic team be formed?

B. In how many different ways can the
education tour team be formed?​

Answer:

a)1280 bacteria

Step-by-step explanation:

We find the function in t hours first

Bacteria in a petri dish doubles every 10 minutes. (Express in exponential function)

a) If there are 10 bacteria initially, how many are there after 120 minutes?

b) If there are 10 bacteria initially, when would there be a million bacteria?

The formula to use is given as

y = Ab^t

Where

y = Total Population of bacteria

B= initial population of the bacteria

r =

t = time in hours

The bacteria doubles in the petri dish every 10 minutes, we have 10 bacteria

10 minutes in hours = 10/60= 1/6 hours

10 × 2 = 10b^10/60

20 = 10b ^1/6

2 = b^1/6

Multiply both sides by Power of 6

2^6 = b

b = 64

Hence, y = 10×(64)^t

a) If there are 10 bacteria initially, how many are there after 120 minutes?

120 minutes in hours = 2

y = 10(64)²

y = 1280

There would be 1280 bacteria after 120 minutes

b) If there are 10 bacteria initially, when would there be a million bacteria?

y= 1,000,000

A = 10 bacteria

b = 64

t = ???

1000000 = 10 × (64)^t

Divide both sides by 10

100000 = (64)^t

Answer:

9x9

Step-by-step explanation:

Divide 108/12

108/12=9

you have a 9x9 photo

hope this helps!

Answer:

the correct option is A

Step-by-step explanation:

hope this helps

Using the standard normal distribution table, the probability of having a Zscore less than 0.97 would be 0.8340

To obtain the probability z P(Z < 0.97) ; we use a standard normal distribution table or a Z probability calculator ;

Using a normal distribution table :

Therefore, the most appropriate option is 0.8340

Learn more : https://brainly.com/question/23105648

Answer:

6

Step-by-step explanation:

6 is the answer

? =6

Answer:

6

Step-by-step explanation:

1. 17 * 10 = 170

2. 17 * 4 = 68

3. 170 - 68 = 102

4. 102 / 17 = 6

Answer:

A)n= 703.96

B)n= 602.308

Step by step Explanation:

Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

Then z/2 = 1.645

And M = 3.1% = 0.031

A)Nothing is known therefore,

p = q = 0.50

E=0.031

For 90% confidence, z = 1.645

n = (zα/₂)²(p)(1-p)/M²

n= 1.645²× 0.5 × 0.5/0.031²

n= 703.96

Therefore, 703.96randomly selected air passengers must be​ surveyed to be 99%

B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35

n = (zα/₂)²(p)(1-p)/M²

n= (1.645²× 0.31 × 0.69)/0.031²

n= 602.308

Hence, 602.308 randomly selected air passengers must be​ surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.

Answer:

288 km²

Step-by-step explanation:

are of one side is area of the triangle (10×9.4)/2 = 47

ground plane: 10×10 = 100

sum 4 sides and ground: 47+47+47+47+100

Answer:

Sushil got 15 sweets

Step-by-step explanation:

we can use law of indices property as shown below

a:b:c = ax:bx:cx

that if we multiply each term of ratio by same number , the ratio does not change

____________________________

given

Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1.

let

Malachy gets 1x sweets

sushil gets 3x sweets

Fiona gets 1x sweets

but given that

Malachy got 5 sweets

thus

1x = 5

x = 5

Sushil got 3x sweets = 3*5 = 15 sweets.

Sushil got 15 sweets.

Answer:

x<-8

Step-by-step explanation:

x+6<-2

subract 6 from both sides

x+6-6<-2-6

x<-8

Answer:

Step-by-step explanation:

When the stick is placed along the diagonal  of the cuboid , shortest possible length will extend out above top of the crate .

Length of the diagonal

= [tex]\sqrt{36^2+36^2+60^2}[/tex]

= 78.69 cm

the length of the stick that extends out of the crate

= 90 - 78.69

= 11.31 cm

If θ be the angle made by stick with the base

cosθ = hypotenuse of base / diagonal of cuboid

=[tex]\frac{\sqrt{2}\times36 }{78.69}[/tex]

= [tex]\frac{50.90 }{78.69}[/tex]

θ = 50°

Answer: This is the answer to B) 47.9 degrees

Step-by-step explanation:

Pythagoras: a^2+b^2=c^2

36²+36²=C²

√2592=C

C=50.9cm

Used Trigonometry: SOH CAH TOA

Tan=Opposite/Adjacent

Tan=60/50.9

The angle stick makes when it meets the base:

Tan^-1(60/50.9)

=49.7˚

Answer:

see explanation

Step-by-step explanation:

(a)

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 8 when x = 10. then

8 = 10k ( divide both sides by 10 )

0.8 = k

y = 0.8k ← equation of proportion

(b)

when x = 25, then

y = 0.8 × 25 = 20

(c)

when y = 25, then

25 = 0.8x ( divide both sides by 0.8 )

x = 31.25

Answer:

180 meters

Step-by-step explanation:

Distance from the balloon to the boat = 108 meters

Distance from the boat to the shore = 144 meters

Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.

Let the length of the hypotenuse = l

Using Pythagoras Theorem

[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]

The distance from Fossett's balloon to the shore is 180 meters.

Fossett's balloon is 180m from the shore

data;

To solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.

[tex]x^2 = y^2 + z^2\\[/tex]

Let's substitute the values and solve

[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]

Fossett's balloon is 180m from the shore

Learn more on pythagorean theorem here;

https://brainly.com/question/231802

Answer:

[tex]\left(x^2+3i\right)\left(x^2-3i\right)[/tex]

Step-by-step explanation:

[tex]x^4+9[/tex]

[tex]x^4+9[/tex] can be written as [tex]x^4--9[/tex].

Apply the formula for the difference of two squares.

[tex](a^2-b^2)=(a+b)(a-b)[/tex]

[tex]-9=3i^2[/tex]

[tex]x^4=(x^2)^2[/tex]

[tex](x^2)^2-(3i)^2=(x^2+3i)(x^2-3i)[/tex]

Answer:

(x^2 - 3i) ( x^2 +3i)

Step-by-step explanation:

X^4+9

x^4 - -9

This is the difference of squares (a^2 - b^2) = (a-b)(a+b)

(x^2) ^2 - ( 3i)^2

(x^2 - 3i) ( x^2 +3i)

Answer:

This is False.

Step-by-step explanation:

I hope this helped you! :)

Answer: false

Step-by-step explanation:

Answer:

A.9x – 13.2

Step-by-step explanation:

2*(3.5x-7+x+0.4)=2*(4.5x-6.6)=9x-13.2

Answer:

It is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

To evaluate the derivative of this function you need the chain rule. The pattern I teach to my calculus students is to find

u =

u' =

f(u) =

f'(u) =

First pick your "u". u will be the inner function, the one inside the parenthesis.

u' will then be the derivative of u.

f(u) is the function in terms of u, and

f'(u) is the derivative of the function in terms of u.

The derivative then, finally, will be u' * f'(u). Let's begin.

Our u, or the part of the function inside the parenthesis is 3 - 2x; hence,

u = 3 - 2x

The derivative, u', then is

u' = -2

f(u) is the function in terms of u, so

f(u) = [tex]u^{-\frac{1}{2}[/tex] and the derivative in terms of u is

f'(u) = [tex]-\frac{1}{2}u^{-\frac{3}{2}[/tex]

u' * f'(u) then is

[tex]-\frac{1}{2}u^{-\frac{3}{2}*(-2)[/tex] Simplify that by subbing back in for u and multiplying -2 by -1/2 to get

[tex]y'=(3-2x)^{-\frac{3}{2}[/tex]

Answer:

ΔAKL is congruent to ΔBML by the Side Angle Side rule of congruency and ΔALB is isosceles as two of its sides [tex]\overline {AL}[/tex] and [tex]\overline {BL}[/tex] are congruent

Step-by-step explanation:

The given parameters are;

The given triangle ΔKLM has sides [tex]\overline {KL}[/tex] ≅ [tex]\overline {LM}[/tex],   Given

ΔKLM is isosceles Δ (two equal segments),         Definition of isosceles Δ

∠LKM ≅ ∠LMK,                                                       Base ∠s of isosceles Δ are ≅

Point A is on segment [tex]\overline {KM}[/tex],                                  Given    

Point B is also on segment [tex]\overline {KM}[/tex],                          Given

Segment [tex]\overline {AK}[/tex] ≅ segment [tex]\overline {BM}[/tex],                              Given

ΔAKL ≅ ΔBML,                                                       SAS rule of congruency

Segment [tex]\overline {AL}[/tex] ≅ segment [tex]\overline {BL}[/tex],                                CPCTC

ΔALB is isosceles (two equal segments),            Definition of isosceles Δ

Where:

SAS = Side Angle Side

CPCTC = Congruent parts of congruent triangles are congruent.

Answer:

m∠AKL=m∠BML | Base Angle Theorem (Base ∠ TH.)

Step-by-step explanation:

KL=LM | Given

A ∈ KM | Given

B ∈ KM | Given

AK=BM | Given

m∠AKL=m∠BML | Base ∠ TH.

Answer:

17/24

Step-by-step explanation:

This expression simplifies to the following:

-7     15        1          1

---- * -----  -  -----  +  -----

18     -7        4          8

Reducing the product, we get

  15        1

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

  18        8

and this simplifies further:

 5       1

----- - -----

 6       8

The LCD is 24.  Thus, we have:

20      3         17

------ - -----  =  -----

24      24       24

Answer:

I agree with your answer C!!

Step-by-step explanation:

Answer:

0.4 ; 0.8

Step-by-step explanation:

Given that :

y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1/w^2

y = kxz/w^2 - - - - (1)

Given that y =3 when x=3, z=10, w=2

Inputting the values into (1)

3 = (k*3*10) / 2^2

3 = 30 × k / 4

k × 30 = 3 × 4

k × 30 = 12

k = 12/30

k = 0.4

B.) Given that ;

y=4 when x=4 z=20 w=4

Input values into (1)

y = kxz/w^2

4 = ( k * 4 * 20) / 4^2

4 = (k * 80) / 16

k * 80 = 16 * 4

k * 80 = 64

k = 64 / 80

k = 0.8

Answer:

False

Step-by-step explanation:

Took the test and got it wrong

Answer:

a) green: 0.3

yellow: 0.1

b) 12

Step-by-step explanation:

Unfortunately, I cant write on the table. But, I CAN help you with this question.

Since all probabilities have to add up to one, we can for an equation like this

(where y is yellow)

0.35+0.25+3y+y=1

This simplified is

0.6+4y=1

4y=0.4

So, we now know that green is 0.3, and yellow is 0.1.

For b, we set 0.35x to 14. Dividing gives us:

14/0.35=1400/35=40.

Multiply 0.3 by 40, and you get 12.

Hope this helped!

Answer:

39.936 ( not rounded )

Step-by-step explanation:

Use Pythagorean theorem

a^2 + 6.4^2 = 9^2

height = 6.24 (rounded to nearest hundredth)

1/2 * base * height = area

1/2 * 12.8 * 6.24

= 39.936 ( not rounded )

Answer:

7 < x < 34

Step-by-step explanation:

The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.

Answer:

7 < x < 34

it just is

*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

Answer:

2

Step-by-step explanation:

In the graph the line shifted down by 3 units, so k=3. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph,

The coordinates of line red are (0, 5) and (3, 6)

Here, slope (m) = (6-5)/(3-0)

= 1/3

Substitute m=1/3 and (x, y)=(0, 5) in y=mx+c, we get

5=1/3 (0)+c

c=1/3

Now, g(x)=1/3 x

The coordinates of line blue are (0, 2) and (3, 4)

Here, slope (m) = (4-2)/(3-0)

= 2/3

Substitute m=2/3 and (x, y)=(0, 2) in y=mx+c, we get

2=2/3 (0)+c

c=0

So, f(x)=2/3 x

From the graph the line shifted down by 3 units

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ7

1368p3558the 688inches

Step-by-step explanation:

javaowbmwoabm bonds bajan Baum bakka bank hank is the bwbhhsjnijgio he has 5th year in my jailer and hnksksmmnalk JBL 94inches to see 38inches

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

Answer:35 square

Step-by-step explanation:

Answer:

The perimeter of the shape is (7x²+10x+81) inches.

Step-by-step explanation:

When finding the perimeter of a shape, you have to add up all the side lengths :

[tex]p = 31 + (4 {x}^{2} + 8x) + (3 {x}^{2} - 5x + 20) + (7x + 30)[/tex]

[tex]p = 31 + 4 {x}^{2} + 8x + 3 {x}^{2} - 5x + 20 + 7x + 30 [/tex]

[tex]p =( 7 {x}^{2} + 10x + 81) \: inches[/tex]

at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.

step-by-step

since the scale is 1 to 15,000 you simply multiply it by the 12 cm

12cm × 15,000 = 180,000

but you still have to convert it to kilometers (the measurement on the ground).

to go from centimeters to kilometers move the decimal 5 place values to the left.

final answer

1.8 kilometers