Of all the marbles in josiah's collection, 35% are silver. If he has 182 silver marbles, how many marbles are in Joshiah's Collection

Answer:

1) 202.52

2) P107089

Step-by-step explanation:

Compound interest is calculated as

A = P (1 + r/n)^(nt), where

A = compounded interest

P = present value

r = interest

n = number of times interest applied

t = time taken

A = 200 (1 + 0.25%/30)^(30 * 5)

A = 200 (1 + 8.3*10^-5)^150

A = 200 * 1.0126

A = 202.52

Present Value Annuity Due is usually given by the formula

P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where

P is the present value

C is the Cash flow per period

i is the interest rate and

n is the number of payments

P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)

P = 113676

Also, it's worthy of note that

Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100

EAR = ((1+12/(12*100))^12-1)*100

EAR = 12.68%

And lastly, the

Future value = present value*(1+ rate)^time

113676 = Present value*(1+0.1268)^0.5

Present Value = 113676 / 1.1268^0.5

Present Value = 113676 / 1.0615

Present value = 107089

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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Answer:

A.

Step-by-step explanation:

I'm pretty sure that's right.

The dimensions of the rectangle are given by the area equation

The area is 24, then the dimensions will be the factors of 24. There are many possibilities for the answer, in this case, let's take the dimensions as 4 and 6 meters

Its perimeter will be

Other rectangles with the same area have different dimensions

12 and 2

Its perimeter will be

8 and 3

Its perimeter will be

24 and 1

Its perimeter will be

All these rectangles have the same area but different perimeters

Answer:

a = 11 , b = 4

Step-by-step explanation:

to find a and b substitute the coordinates of the given points f(x) passes through into f(x)

f(x) = a\(b^{x}\)

substituting (0, 11 ) into f(x)

11 = a\(b^{0}\) [ \(b^{0}\) = 1 ] , then

11 = a

f(x) = 11\(b^{x}\)

substituting (2, 176 ) into f(x)

176 = 11b² ( divide both sides by 11 )

16 = b² ( take square root of both sides )

\(\sqrt{16}\) = b , that is

b = 4

thus a = 11 and b = 4 and

f(x) = 11 \((4)^{x}\)

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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9514 1404 393

Answer:

Step-by-step explanation:

Let w represent the width. Then the length is w+9, and the sum of length and width is ...

  w +(w+9) = 15

  2w = 6 . . . . . . . subtract 9

  w = 3 . . . . . . . . divide by 2

  w+9 = 12 . . . . . find the length

The width should be 3 feet; the length should be 12 feet.

Answer:

its 1 and 3

Step-by-step explanation:

you can tell cant you

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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First, 27 = 3³, so 27¹⁵ = (3³)¹⁵ = 3⁴⁵.

So we have

27¹⁵ ≡ 3⁴⁵ (mod 33)

and

3 ≡ 3 (mod 33)

3² ≡ 9 (mod 33)

3³ ≡ 27 (mod 33)

3⁴ ≡ 81 ≡ 15 (mod 33)

3⁵ ≡ 3 • 15 ≡ 45 ≡ 12 (mod 33)

From here, the cycle continues:

3⁶ ≡ 3 • 12 ≡ 36 ≡ 3 (mod 33)

3⁷ ≡ 3 • 3 ≡ 9 (mod 33)

and so on.

This is to say that, for each power of 3, where the power is a multiple of 5, the remainder will always be 12, i.e. for any positive integer k,

\(3^{5k}\equiv 12\pmod{33}\)

Answer:

Blaise Pascal is known for inventing the mechanical calculator, also called Pascaline, in 1642. The Pascaline was a type of mechanical calculator that could perform addition and subtraction by using a series of gears and wheels. It was one of the first machines capable of performing arithmetic operations automatically and quickly, without the need for manual calculations. The invention of the Pascaline was a significant contribution to the field of mathematics and engineering, and it paved the way for the development of more advanced calculating machines in the future.

Step-by-step explanation:

Step-by-step explanation:

First, let's find the square root of 30.6:

√30.6 ≈ 5.53 (rounded to two decimal places)

Now, let's multiply the square root by 2:

5.53 × 2 = 11.06

Answer:

n = 37/4

Step-by-step explanation:

that's the answer to you question

Answer:

Is it 0? sorry if this is wrong

Step-by-step explanation:

Answer:

f(g(0)) = -2

Step-by-step explanation:

We have our two equations, f(x) and g(x).

We work our way from the inside to the outside. Our inside equation is g(0). If we match g(x) to that, that would mean x = 0. So on that g(x) graph, when the x=0, the graph intercepts the y axis at y = 1.

Now that we know that g(0) = 1, we can plug that into the original equation, making it f(1) instead of f(g(0)). Now that we have f(1), we can go to our f(x) equation.

Matching the equations, it shows the x=1. On our f(x) graph, we'll find x=1 and trace down or up (down in this case) to the point where the graph intercepts at that point. Thats where we can then trace that point to the y axis and we see that our line hits the y axis at -2, making that the answer.

Answer: 192

Step-by-step explanation:

192

Answer:

6(32)

6x32

192

explanation:

There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.

To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:

Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.

There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.

Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,

So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.

As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.

Number of sets of five marbles that include both the lavender one and exactly one yellow one:

We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.

We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.

To find the number of sets that include both, we can choose any one yellow marble and the lavender one.

There are 2 choices for the yellow marble and 1 choice for the lavender one,

So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.

Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:

Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.

The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,

So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.

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In the given proof, the phrase " There exists k = n+1 " is not a general practice to write.

option (d) is correct [ans]

An integer is a whole number that can be positive, negative, or zero, and does not include any fractional or decimal parts.

Integers are part of the set of numbers called the integers, which includes all positive numbers, negative numbers, and zero.

We write " Let k = n+1 or assume n = k+1".

And then, we say that, it is obvious that

n < k = n+1 < n+2 for any integer n.

Hence, option (d) is correct [ans]

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The point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

Given that:

y = total cost

x = miles

We are also given the system of linear equations that models the scenario given as:

y = 0.27x + 27 --> equation 1

y = 0.21x + 45 --> equation 2

To find the value of x, make both equations equal to each other and solve:

0.27x + 27 = 0.21x + 45

Combine like terms

0.27x - 0.21x = -27 + 45

0.06x = 18

Divide both sides by 0.06

0.06x/0.06 = 18/0.06

x = 300

To find the value of y, plug in the value of x into equation 1, and find y:

y = 0.27(300) + 27

y = 81 + 27

y = 108

Thus, the point where the two lines intersect is the solution to the system of linear equations, which is: A. (300, 108).

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The number of cell phones sold in 2015 is (0.29)(1.28x)

The correct answer is A) (0.29)(1.28x).

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is 1. Linear equations can be written in the form ax + b = 0, where a and b are constants and x is the variable. Linear equations are called "linear" because they represent a straight line when plotted on a graph.

We are told that the number of cell phones Hongbo sold in 2014 was 128% greater than in 2013, which means that he sold 128/100 = 1.28 times as many cell phones in 2014 as he did in 2013. This can be represented by the equation x * 1.28 = number of cell phones sold in 2014.

We are also told that the number of cell phones Hongbo sold in 2015 was 29% greater than in 2014, which means that he sold 29/100 = 0.29 times as many cell phones in 2015 as he did in 2014. This can be represented by the equation (number of cell phones sold in 2014) * 0.29 = number of cell phones sold in 2015.

Substituting the first equation into the second equation, we get:

(x * 1.28) * 0.29 = number of cell phones sold in 2015

This simplifies to:

(0.29)(1.28x) = number of cell phones sold in 2015

Hence, the number of cell phones sold in 2015 is (0.29)(1.28x)

the correct answer is A) (0.29)(1.28x).

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Answer:

4(5x - 9y)

I hope this helps!

Answer:

4(5x-9y)

Step-by-step explanation:

20x-36y

20 and 36 is divisable by 4,

20/4=5

36/4=9

4(5x-9)

Answer:

\(y-4=2\,(x+1)\)

which agrees with answer C in your list of possible answers.

Step-by-step explanation:

We can use the general point-slope form of a line of slope m and going through the point \((x_0, y_0)\):

\(y-y_0=m(x-x_0)\)

which in our case, given the info on the slope (2) and the point (-1, 4) becomes:

\(y-y_0=m\,(x-x_0)\\y-4=2\,(x-(-1))\\y-4=2\,(x+1)\)

Answer:

x = 2 , y = 7

Step-by-step explanation:

Since

y-3x = 1

y = 3x+1 - equation 1

2y-x = 12 - equation 2

Since we are using substitution method,

we will substitute equation 1 into equation 2.

\(2(3x + 1) - x = 12 \\ 6x + 2 - x = 12 \\ 5x + 2 = 12 \\ 5x = 12 - 2 \\ 5x = 10 \\ x = \frac{10}{5} \\ = 2\)

Now we substitute x into equation 1 to find y.

\(y = 3(2) + 1 \\ = 6 + 1 \\ = 7\)

Therefore x = 2, y = 7.

Answer:

y = 3x + 12

Step-by-step explanation:

y = mx + b  
The m is the slope and the b is the y intercept.

Slope:

Change in y over the change in x.  The ordered pair is written in the form (x,y)

\(\frac{12-3}{8-5}\) = \(\frac{9}{3}\) = 3

The slope is 3.

Use the slope of the 3 and the x and y from one of the ordered pairs given.  I am going to use the point (5,3), but either point will work

slope 3

x = 5

y=3  Plug these all in and solve for b

y = mx + b

3 = (3)5 + b

3 = 15 + b  Subtract 15 from both sides

-12 = b

This is the y intercept

y = 3x - 12

Answer:

Slope-intercept form,

→ y = 3x - 12

Step-by-step explanation:

Formula we use,

→ y = mx + b

The value of slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (12 - 3)/(8 - 5)

→ m = 9/3

→ [ m = 3 ]

Then the value of b will be,

→ y = mx + b

→ 12 = (3)8 + b

→ b + 24 = 12

→ b = 12 - 24

→ [ b = -12 ]

Now the slope-intercept form is,

→ y = mx + b

→ [ y = 3x - 12 ]

Hence, the answer is y = 3x - 12.

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Answer:

Salesperson would earn $13.6 in commission for selling a microwave oven for $340.  

Step-by-step explanation:

We are given that an appliance salesperson earned $32.80 in commission for selling a refrigerator for $820.

We have to find how much would the salesperson earn in commission for selling a microwave oven for $340.

Firstly, we will the find the rate at which the salesperson gets a commission in % terms.

So, Percentage rate of commission is given by;

Rate of commission=(Commission earned ÷ Selling Price of refrigerator)  100

                                =  =  = 4%

Now, this rate will be used to find the commission earned on selling a microwave oven for $340, i.e;

Commission earned  for selling a microwave oven = 4% of Selling price of microwave oven

                                  =   = $13.6

Therefore, salesperson would earn $13.6 in commission for selling a microwave oven for $340.  

Answer:

Step-by-step explanation:

Weather is usually referring to current condition of an area. For eg, the weather in NYC is sunny on this day with 68F.

However, Climate is referring to the average weather of that area (usually taken over more than 25 years). For eg, the climate in NYC is chilly with temperatures ranging from 68-78F.

Completely made up data but hope that clears my point. Weather is assessed temporarily whereas, Climate is usually prepared long term.

Answer:The length of time over which conditions are measured

Step-by-step explanation:

Answer: 4

Step-by-step explanation: Amplitude has to do with how high and low the function goes according to the midline. The midline for this function is at -3. The maximum point is 1, and the minimum point is -7. The function goes up 4 units and down 4 units

Answer:

Amplitude = 4

Step-by-step explanation:

The amplitude of a sinusoidal function is the height (vertical distance) from the midline to the peak (or trough).

To calculate the amplitude, simply divide the vertical distance between the maximum and minimum y-values by 2.

From inspection of the given graph:

Therefore:

\(\implies \sf Amplitude = \dfrac{1-(-7)}{2}=\dfrac{8}{2}=4\)

Answer:

It is A.

Step-by-step explanation: