Canada has a growth rate of
approximately 1%. Calculate the
doubling time.
Doubling time = 70/growth rate
A. 0.014 years
B. 100 years
C. 35 years
D. 70 years

The percentage of pennies in the roll is A = 30 %

Given data ,

Let the percentage of pennies in the roll made before 1985 be A

Now , the total number of pennies be = 50 pennies

And , the number of pennies made before 1985 is = 15 pennies

So , the percentage is A = ( 15 / 50 ) x 100

On simplifying the equation , we get

A = 3/10 x 100

A = 30 %

Hence , the percentage is 30 %

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Answer:

x = 6 feet

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 feet

The calculated value of the side length b is 17.32 meters

From the question, we have the following parameters that can be used in our computation:

Angle B = 60 degrees

Length a = 10 meters

The side length b is calculated as

tan(60) = b/a

So, we have

tan(60) = b/10

Make b the subject

b = 10 * tan(60)

Evaluate

b = 17.32

Hence, the side length b is 17.32 meters

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To solve using the elimination method, we need to eliminate one of the variables.

Multiplying the first equation by 3, we get:

9x = 165 - 21y

Now we can write the system as:

9x = 169 - 22y

9x = 165 - 21y

Subtracting the second equation from the first, we get:

0 = 4 - y

Solving for y, we get:

y = 4

Substituting y = 4 in the first equation, we get:

3x = 55 - 7(4)

3x = 27

x = 9

Therefore, the solution to the system is (x, y) = (9, 4).

The system is consistent and independent, since it has a unique solution.

Examining the graph, it can be deduced that the graph is not a function.

Domain and range are mathematical notation utilized to define the spectrum of possible accepted input values (domain) as well as the corresponding output values (range) in a given function or relation.

A definitive domain correspondingly denotes the compilations of all plausible inputs that generate a valid result when put essentially into the relation or operation.

Conversely, the range defines the plethora of conceivable outputs that this very same function or relation can devise, considering its specified domain.

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Answer:The algebraic steps you have taken are incorrect, leading to an invalid conclusion. Let's go through each step and see where the mistake is made:

X = 1 (given)

X+X = 1+X (adding X to both sides)

2X = 1+X (combining like terms)

2X = X+1 (rearranging terms)

2X-2 = X+1-2 (subtracting 2 from both sides)

2X-2 = X-1 (simplifying)

2(x-1)/(x-1) = (x-1)/(x-1) (dividing both sides by x-1, note that x cannot be 1 as it would result in division by 0)

2 = 1 (canceling out the (x-1)/(x-1) on both sides)

The error lies in dividing both sides by (x-1) in step 7. Although (x-1) appears on both sides of the equation, it is not equal to zero as x cannot be 1 due to division by zero. Dividing by (x-1) effectively cancels it out, leading to the incorrect result of 2=1.

Step-by-step explanation:

Answer:

17.

90 - 75 = 15

Answer: b

18.

ABC

Answer: A

19.

Answer: D

20.

Answer: D

Triangles PQR and LMK are not similar. Thus none.

Two or more triangles are said to be similar if on comparing their corresponding properties, some common relations holds. One important relation is the scale factor that relates one triangle with the other.

In the diagram given, we have;

scale factor = LK/ PR

                   = 18/ 10

scale factor = 1.8

But this scale factor can not be used to determine the side LM correctly.

That is,

LM ≠ 1.8*8

LM ≠ 14.4

since LM = 13

Therefore, it can be deduced that triangles PQR and LMK are not similar. Thus none.

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Answer:

7

Step-by-step explanation:

Note that given the angle of elevation, the distance from pont A to Point B is approximately 627.6ft.

See the attached image.

As shown in the attached figure:

L = AO Tan 8°

L = 1035 * Tan 8°

L = 1035 * 0.14054083470239144683811769343281

L = 1035 * 0.14054083470239144683811769343281

L = 145.46 Feet


BO = L/Tan 5°
BO =  145.459763917 / 0.08748866352592400522201866943496
BO = 1662.61270952
BO = 1662.6 Feet

Since AB = BO-AO
AB = 1662.6-1035

AB = 627.6 Ft.

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Answer: 75%

Step-by-step explanation:

     We will divide the wanted outcome by the total number of possible outcomes. Note that a decimal times 100 becomes a percentage.

[tex]\displaystyle \frac{\text{not picking a diamond card}}{\text{cards in the deck}} =\frac{39}{\text{52}} =0.75\;\;\;0.75*100=75\%[/tex]

Answer: The density of the billiard ball is 6.67 g/cm^3.

Step-by-step explanation:

The probability of getting hearts or face cards is 25/52.

We know that, Probability of an event = Number of favorable outcomes/Total number of outcomes.

Total number of outcomes = 52 cards

Number of hearts = 13

Number of face cards = 12

Probability getting hearts = 13/52

Probability getting face cards = 12/52

P(Hearts or Face card) = 13/52 + 12/52

= 25/52

Therefore, the probability of getting hearts or face cards is 25/52.

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The calculated value of r ihe lateral area of the cylinder is 512π square units is 16 units

From the question, we have the following parameters that can be used in our computation:

The lateral area of the cylinder is 512π square units

The lateral area of the cylinder is 2πrh

So, we have

2πrh = 512π

Substitute r for h

2πr^2 = 512π

Divide both sides by 2π

So, we have

r^2 = 256

Take the square roots

r = 16

Hence, the radius is 16 units

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The expression |x³| + 5 is 5 more than the absolute value of the cube of a number.

Option B is the correct answer.

We have,

The expression |x³| represents the absolute value of the cube of a number x.

This means that no matter what value x takes (positive, negative or zero), the result of the expression will always be positive.

For example, if x = 2, then |x³| = |2³| = |8| = 8.

If x = -2, then |x³| = |-2³| = |-8| = 8.

Adding 5 to the absolute value of the cube of x means adding 5 to the positive number that resulted from |x³|.

So, if we take the examples from above, if x = 2, then the expression becomes |2³| + 5 = 8 + 5 = 13.

If x = -2, then the expression becomes |-2³| + 5 = 8 + 5 = 13.

Therefore,

The expression |x³| + 5 is 5 more than the absolute value of the cube of a number.

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The amount on compound interest is $ 96,685,319.07

The amount on compound interest is given by A = P(1 + r)ⁿ where P = principal amount, r = interest rate and t = time

To find the amount on compound interest given that

So, substituting the values of the variables into the equation, we have that

A = P(1 + r)ⁿ

A = $3830(1 + 0.66)²⁰

A = $3830(1.66)²⁰

A = $3830(25244.21)

A = $ 96,685,319.07

The amount is $ 96,685,319.07

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The coordinates of the new point  is (-6, -2)

From the question, we have the following parameters that can be used in our computation:

Point = (6, 2)

Rule: 180 degrees rotation

The rule of 180 degrees rotation is

(x, y) = (-x -y)

substitute the known values in the above equation, so, we have the following representation

image = (-6, -2)

Hence, the image = (-6, -2)

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The common ratio between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is, - 1/9

Now, We can formulate;

⇒ { a/ 1-r} = 2

And, a²/ (1 - r²) = 5

⇒ 2a/ ( 1+r ) = 5

⇒ 2(2 - 2r)/ 1 + r = 5

⇒ 4 - 4r = 5 + 5r

⇒ 9r = - 1

⇒ r = - 1/9

Thus, The common ratio between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is, - 1/9

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Area of rectangular base is 18 square centimeters.

The height (given) is 6 centimeters.

The volume of the rectangular prism is 108 cubic centimeters.

For the area of the base, multiply the length of AD times length of CD

9cm × 2cm = 18cm² remember that is square unit measure:

cm² means square centimeters.

The height is the distance between the two bases. Given as AW = 6

To get Volume, multiply the area of one base by the height

18cm² × 6cm = 108cm³  

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Answer:174

Step-by-step explanation:

209-22=187

361-22=174

Answer:

144

Step-by-step explanation:A first add 98 + 46 keyword Sum for interior angles

A) A probability of approximately 0.128 or 12.8% that exactly 17 students had type A blood.

B) There is a 93.0% chance that at least 17 students had type A blood in the blood drive held at University High.

Part A: To find the probability that exactly 17 of the 50 students had type A blood, we first need to calculate the probability of a single student having type A blood. Since about 31% of the U.S. population has type A blood, the probability of a student at University High having type A blood is also 31%.

We can use the binomial distribution formula to calculate the probability of exactly 17 students having type A blood in a sample of 50 students. The formula is:

P(X = x) = (n choose k) x pˣ x (1-p)ⁿ⁻ˣ

where P(X = x) is the probability of exactly x successes, n is the sample size (in this case, 50), p is the probability of success (31% or 0.31), (n choose k) is the binomial coefficient or the number of ways to choose k successes from n trials.

Plugging in the values, we get:

P(X = 17) = (50 choose 17) x 0.31¹⁷ x (1-0.31)⁵⁰⁻¹⁷ = 0.128 or 12.8%

Part B: To find the probability that at least 17 of the 50 students had type A blood, we need to calculate the probability of 17, 18, 19,...50 students having type A blood and then add those probabilities together. This is because "at least 17" means 17 or more students, so we need to consider all possibilities from 17 to 50.

Therefore, the probability of at least 17 students having type A blood is:

P(X >= 17) = 1 - P(X < 17)

where P(X < 17) is the probability of less than 17 students having type A blood. We can use the binomial distribution formula to calculate this probability as well:

P(X < 17) = P(X = 0) + P(X = 1) + ... + P(X = 16)

Again, this can be a tedious task to calculate manually. Instead, we can use a binomial calculator or a software program to find this probability.

Using a binomial, we find that the probability of less than 17 students having type A blood is approximately 0.070 or 7.0%. Therefore, the probability of at least 17 students having type A blood is:

P(X >= 17) = 1 - P(X < 17) = 1 - 0.070 = 0.930 or 93.0%

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Answer:

$7000

Step-by-step explanation:

For simple interest,

I = Prt,

where I = amount of interest earned

P = principal amount, the amount of the investment

r = annual interest rate (convert percent to decimal for calculations)

t = time (number of years)

I = Prt

We know I, r, and t, and we need to solve for P.

1120 = P × 4% × 4

Convert percent to decimal.

1120 = P × 0.04 × 4

Multiply on the right side.

1120 = 0.16P

Divide both sides by 0.16

7000 = P

Answer: $7000

The sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean is A. 48

We want to find the sample size (n) that would give us a confidence interval of 0.5 days, so we can rearrange the formula to solve for n:

n = (z*σ/CI)^2

Plugging in the given values:

z = 2.576 (for 99% confidence level)

σ = 1.2 days

CI = 0.5 days

n = (2.576 × 1.2/0.5)²

n ≈ 48

Therefore, the correct option is A.

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Yes because in the second expression, you use the distributive property, multiplying the 3 by the 3a and the 4 in parentheses. This equals 9a+12, which is the other expression

Based on the information, HH is a subset of Ha, which is a subset of aH, which is a subset of H, which is a subset of HH

It should be noted that to demonstrate this theory, we must show that each of these collections are components of the others and consequently all are equivalent.

At first, let's evaluate HH. As H is a subgroup of G, it is dependent on multiplication so for any two elements h1, h2 in H, the product h1h2 is also in H. Thus, every entity within HH can be expressed as the aggregate of h1h2 for certain elements h1, h2 from H. Since H is a subgroup, it is also subject to inverse property, so h2^-1h1^-1 remains inside H. Clearly, h1h2 thus translates to h'(h2^-1h1^-1)h'', where h', h'' are members of H.

This illustrates that every component of HH can be presented as h'h'' for a pair of h', h'' which exist in H, therefore approximating with accuracy the definition of H. Thus, we have demonstrated that HH is part of H.

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