help me and fast plz

The function C(t) = 18(0.96)^t represents decay because the base of the exponent, 0.96, is less than 1 the initial temperature is 18.the temperature decreases by approximately 4% each minute option B

To find the initial temperature, we need to determine the value of C(0) in the given function C(t) = 18(0.96)^t.

When t = 0, the expression becomes C(0) = 18(0.96)^0 = 18(1) = 18.

Therefore, the initial temperature is 18.

The function C(t) = 18(0.96)^t represents decay because the base of the exponent, 0.96, is less than 1. In exponential decay, the quantity decreases over time.

To calculate the percentage change in temperature each minute, we need to determine the difference in temperature between two consecutive minutes and express it as a percentage of the initial temperature.

Let's consider the change in temperature from t = 0 to t = 1 minute:

C(1) = 18(0.96)^1 = 18(0.96) ≈ 17.28.

The change in temperature is ΔC = C(1) - C(0) = 17.28 - 18 = -0.72.

To express this change as a percentage of the initial temperature, we divide ΔC by the initial temperature and multiply by 100:

Percentage change = (ΔC / C(0)) * 100 = (-0.72 / 18) * 100 ≈ -4%.

Therefore, the temperature decreases by approximately 4% each minute. option B

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Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

Given that,

∠C = (6x-21)° and ∠A = (4x+11)°

To find,

Choose the correct option.

Solution,

For a parallelogram, the opposite angles are equal. ATQ,

(6x-21)° = (4x+11)°

Taking like terms together,

6x-4x = 21 + 11

2x = 32

x = 16

∠C = (6x-21)° = 6(16) -21 = 75°

So, ∠A = 75°

So, ∠A = ∠C = 75°. Hence, the correct option is (B).

Answer:

x=75

Step-by-step explanation:

Answer:1/4

Step-by-step explanation: im sry if im wrong

The probability that both marbles are blue is 9 percent.

It is given that 12 marbles in a bag, four of them are blue and the rest are green.

To find the probability that both marbles are blue.

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Let both the marble be blue for event A.

P(A)=2C4/2C12     (combination formula)

=6/66

=1/11

≅0.09

=9percent.

So ,the probability that both marbles are blue is 9 percent.

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Answer: opposite/hypotenuse

Step-by-step explanation:

The volume of a cone with diameter 18 cm and height 15 cm is b. V = 1272.3 cm^(3).

To calculate the volume of a cone, we use the formula:

V = (1/3) * π * r^2 * h

where V is the volume, π is the mathematical constant approximately equal to 3.14159, r is the radius of the cone's base, and h is the height of the cone.

Given that the diameter of the cone is 18 cm, we can calculate the radius by dividing the diameter by 2:

r = 18 cm / 2 = 9 cm

Substituting the values into the volume formula:

V = (1/3) * π * 9^2 * 15

Calculating:

V ≈ 1272.3 cm^3

Therefore, the volume of the cone is approximately 1272.3 cm^3.

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Answer:

31,700

Step-by-step explanation:

10 to the 4th is 10,000, and 10,000 times 3.17 is 31,700

Answer:

31700

Since the exponent of the scientific notation is positive, move the decimal point  

4

places to the right.

Answer:

h = 16 m

Step-by-step explanation:

Given that,

The area of a trapezium, A = 700 m²

The sum of the length of the parallel sides = 70 m

The area of a trapezium is given by :

\(A=\dfrac{1}{2}\times \text{sum of parallel sides}\times height\\\\h=\dfrac{2A}{Sum}\\\\=\dfrac{2\times 700}{70}\\\\=20\ m\)

So, the height of the flower bed is 20 m.

the area of the dartboard is approximately 254.34 square inches.

The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:

Area = π * \(radius^2\)

Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:

Area = π * \(9^2\)

Area = π * 81

To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:

Area ≈ 3.14 * 81

Area ≈ 254.34 square inches

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The equation that could be used to determine c, the cost of labor per hour is $603.75= x × 5.25 and cost of labour per hour is $115

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

The total amount paid by Andres is the sum of the total cost of labour and the cost of the parts.

The Total amount paid = total cost of labour + cost of parts

$719.75= total cost of labour + $116

The total cost of labour = $719.75- $116

= $603.75

The total cost of labour = cost of labour per hour x total time worked

$603.75= x × 5.25

xx = $603.75/ 5.25

xx = $115

Hence, The cost of labour per hour is $115

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a)There are three possible outcomes for two tosses:HT, TH, and TT.

b)Therefore, the number of different outcomes with exactly four heads is 495.

c)Therefore, the number of outcomes that have at least two heads is equal to:2¹² – 13 = 4,083

d)The complement principle, the number of outcomes with at most eight heads is equal to 2¹² – 1 = 4,095

Let us assume that there are only two possible outcomes for each toss. In this case, we can make a simple list of all possible outcomes that are possible. One outcome, for example, would be heads or tails, which could be written as HT or TH.

There are three possible outcomes for two tosses:HT, TH, and TT.

There are four possible outcomes for three tosses:HHH, HHT, HTH, and THH.

Therefore, in the case of twelve coin tosses, there are a total of 2¹² or 4,096 possible outcomes.  

b)Four heads must occur in one of the twelve coin tosses for there to be exactly four heads.

There are 12 possible places for the four heads to occur. The other eight spots must be tails.

The total number of ways to choose four spots from twelve spots is equal to 12C4.

Therefore, the number of different outcomes with exactly four heads is 495.  

c)To determine how many different outcomes have at least two heads, we can use the complement principle.

To begin with, we must determine the number of outcomes in which zero or one heads occur.

There is only one possibility for zero heads: TTTTTTTTTTTT. There are twelve possibilities for one head.

This one head can be in one of twelve positions, and the other eleven positions must be tails.

Therefore, there are 12 + 1 or 13 possible outcomes that contain zero or one head.  

The total number of possible outcomes is 2¹², as we have previously stated.  

Therefore, the number of outcomes that have at least two heads is equal to:2¹² – 13 = 4,083  

d)There are two possible methods for counting the number of different outcomes with at most eight heads, depending on whether we are interested in finding the actual outcomes or simply the number of outcomes.

The number of different outcomes is 2¹² or 4,096, as we have previously stated.

The number of outcomes with at least nine heads is one, since there must be nine heads in one of the twelve coin tosses.

Using the complement principle, the number of outcomes with at most eight heads is equal to 2¹² – 1 = 4,095

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If set A shows the statistians and B shows the person who bath regularly then the notation which shows that all statistians bath regularly is A∩B.

Given that A shows the statistians and B shows the person who bath regularly.

We are required to show the sentence that "All statistians bath regularly"in set notation.

We know that set is a collection of things, place,anything which can be measured or denoted as something else.

"∪" shows union means when we put this sign between two sets then the resulting set will contain all the elements of both the sets.

"∩" shows intersection means when we put this sign between two sets then the resulting set will contain all the common elements of both the sets.

Since A represents statistians and B represents people who bath regularly and we require statistians who bath regularly is A∩B.

Hence if A shows the statistians and B shows the person who bath regularly then the notation which shows that all statistians bath regularly is A∩B.

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Answer:

i dont get it

Step-by-step explanation:

The number of yards saved if shortcut is taken is 40 yards.

Using PYTHAGORAS

The distance moved if shortcut is taken can be calculated thus :

shortcut = √80² + 60²

shortcut = 100 yards

Distance moved if shortcut isn't taken can be calculated thus :

80yards + 60 yards = 140 yards

Yards saved = 140 - 100 = 40 yards

Therefore, the number of yards saved of shortcut is taken is 40 yards.

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Answer:

It is 25

Step-by-step explanation: 5 10 15 20 25

5*5 =25

Hope this help:)

Answer:

There is no common difference between each sequence.

Step-by-step explanation:

The difference between each number increases by 1 each time.

2+3=5

4+4=9

9+5=14

Therefore the next number is 20.

14+6=20

Hii student!

_________________________________________________

\(\multimap\parallel\boldsymbol{Answer.}\parallel\gets\)

there's no common difference in the sequence!

\(\multimap\parallel\boldsymbol{Explanation.}\parallel\gets\)

The common difference is the amount we add or subtract to obtain the next term. It should always be the same amount.

Since in this given sequence we add 3, then 4, then 5, there's no common difference in this sequence.

\(\maltese\boldsymbol{\therefore,\,option\;a\;is\,correct.}\)

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\)

\(\boldsymbol{-Greetings!-}\)

_______________________________________

(a) The probability of having two Tails given that at least one of the coins landed Tails is 1/2.

(b) The probability that both coins are from an "I" state is 6/1225, which simplifies to 2/245.

(c) The probability that one of the coins tossed was the Illinois quarter, given that you do not see the name "Illinois", is 49/75.

(d)

Therefore, the PMF of X is:

P(X=0) ≈ 0.4265

P(X=1) ≈ 0.5135

P(X=2) ≈ 0.0565

P(X=4) ≈ 0.0035

(a) To find the probability of having two Tails given that at least one of the coins landed Tails. Let B be the event that both coins landed Tails. Then, the probability we are looking for is P(B|A) = P(B and A)/P(A).

using complement rule: P(A) = 1 - P(neither coin landed Tails) = 1 - P(both coins landed Heads) = 1 - (1/2) * (1/2) = 3/4.

using conditional probability formula: P(B and A) = P(B|A) * P(A) = P(Tails on second coin | Tails on first or second coin) * P(Tails on first or second coin) = (1/2) * 3/4 = 3/8.

Therefore, P(B|A) = P(B and A)/P(A) = (3/8)/(3/4) = 1/2.

(b) There are 50 coins in total, so the sample space has size 50 choose 2 = 1225. There are 4 states whose name begins with "I", so the number of ways to choose two coins from those states is 4 choose 2 = 6. Therefore,

(c) Let B be the event that one of the coins tossed was the Illinois quarter.Then, P(B) = 1/2.

using formula: P(A and B) = P(B|A) * P(A) = P(B and A).

using law of total probability: P(B and A) = P(B and neither coin is Illinois) + P(B and one coin is Illinois) = (48/50) * (1/2) + (1/50) * (1/2) = 49/100.

Therefore, P(B|A) = P(B and A)/P(A) = (49/100)/(3/4) = 49/75.

(d)The number of ways to choose two coins from these states is 7 choose 2 = 21. Let X be the total number of G's in the state names for the two coins that were tossed. Then, X can take on the values 0, 1, 2, 3, or 4.

To find the PMF of X, we need to calculate P(X = k) for each value k.

The probability of getting a sum of 0 G's is therefore:

P(X=0) = 42C2 / 50C2 ≈ 0.4265

The probability of getting a sum of 1 G is therefore:

P(X=1) = 2(6C1 × 44C1 + 6C2) / 50C2 ≈ 0.5135

The probability of getting a sum of 2 G's is therefore:

P(X=2) = 6C2 / 50C2 ≈ 0.0565

The probability of getting a sum of 4 G's is therefore:

P(X=4) = 1 / 50C2 ≈ 0.0035

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Answer:

\(A=\) $\(966.306\)

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

\(A=P(1+\frac{r}{n})^n^{t}\)

where

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(t= 5\) \(years\)

\(P=\) $\(600.00\)  

\(r=10\)% \(=10/100=0.10\)

\(n=1\)

substitute in the formula above

\(A=600(1+\frac{0.10}{1})^1^*^5\)

\(A=600(1.10)^5\)  

\(A=\) $\(966.306\)

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Answer:

A

Step-by-step explanation:

Answer:

x=4, y=-1

Step-by-step explanation:

x=3y +7. equation 1

3x+4y=8. equation 2

substitute equation 1 into equation 2

3 (3y +7)+4y =8

9y+21+4y=8

13y+ 21=8

13y=8-21

y=-13/13

y=-1

substitute the value of y into equation 1

x=3(-1)+7

x=-3+7

x=4

Answer:

It is B

Step-by-step explanation:

The line for both equations goes through (-10, -3)

Hope this helps

Answer:

2160 cm

Step-by-step explanation:

9x5x4x12=2160 :)

Answer:

42

Step-by-step explanation:

Divide the shape into a square and a triangle.

The area of the square would be 4×9 which is 36.

The area of the triangle will be 3*4/2=6

Add them to get 42

Answer:

Step-by-step explanation: