A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y=-4x + 5
y = 4x-5
2y = 8x - 10
-2y = -8x - 10

Answer:

\(\sqrt[3]{30}\)

Step-by-step explanation:

\(30^{1/3}\)

= \(\sqrt[3]{30}\)

Answer:

Step-by-step explanation:

5g. X% solution means there are Xg per 100mL. So 500mL at 1%: 5g

Answer:

The probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427

Step-by-step explanation:

We are given that

\(\mu_{\hat{p}}=p=4%=0.04\)

n=662

We have to find the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%.

q=1-p=1-0.04=0.96

\(\sigma_{\hat{p}}=\sqrt{p(1-p)/n}\)

\(\sigma_{\hat{p}}=\sqrt{\frac{0.04(1-0.04)}{662}}\)

\(\sigma_{\hat{p}}=0.0076\)

Now,

\(P(\hat{p}>0.06)=1-P(\hat{p}<0.06)\)

\(=1-P(\frac{\hat{p}-\mu_{\hat{p}}}{\sigma_{\hat{p}}}<\frac{0.06-0.04}{0.0076})\)

\(=1-P(Z<2.63)\)

\(=1-0.99573\)

\(P(\hat{p}>0.06)=0.00427\)

Hence, the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427

In order for two tuples to be equal, they must have the same length and corresponding items must have the same value.

The answer to this is True.

Tuples are used to store multiple items in a single variable.

Tuple is one of 4 built-in data types in Python used to store collections of data, the other 3 are List, Set, and Dictionary, all with different qualities and usage.

A tuple is a collection which is ordered and unchangeable.

Tuples are written with round brackets.

When are 2 tuples equal?

Two tuples are equal, if they have got the same number of elements and if their elements are equal. Two tuple elements are equal, if they are both (integer or floating point) numbers or both are strings and contain the same value.

Therefore, the answer to this question is True.

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answer

3

Step-by-step explanation:

so there are three points in total graphed but to find slope you can follow slope equation

m=y2-y1 /x2-x1

(1,1) (2,4)

4-1/ 2-1

3/1

3

the slope of the line is 3

Answer:

O a=0

Step-by-step explanation:

Answer:

The volunteers should be a group of 10 and meditators should be 5 groups.

Step-by-step explanation:

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

From the question, we are to determine how much water is left in the barrel

From the given information,

"The barrel is filled with 18 gallons of water"

and

"Ryan used 9.7 gallons to water his garden in June"

After this time,

The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons

= 8.3 gallons

Then,

3 and one eighth gallons in July

3 and one eighth = 3 1/8 = 3.125 gallons

The quantity of water that would be left is 8.3 gallons - 3.125 gallons

= 5.175 gallons

Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

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Answer:

b

Step-by-step explanation:

Answer:

Multiply each side by 6

Step-by-step explanation:

27 = m/6 - 3

Add 3 to each side

27+3 = m/6 - 3+3

30 = m/6

Multiply each side by 6

30*6 = m/6*6

180 = m

The length of JK which is extended from chord KL is approximately 7.75 units.

To find the length of JK and write the quadratic equation, let's analyze the given information:

In the given figure, we have JM = 2, KL = 5, and MN = 10. Let x represent the length of JK.

From this information, we can observe that JK can be split into two segments: JM + MN and KL. Therefore, we can write the equation:

(JM + MN) * KL = x²

Substituting the given values:

(2 + 10) * 5 = x²

12 * 5 = x²

60 = x²

So, the quadratic equation that must be solved to find the length of JK is x² = 60.

To find the length of JK, we need to take the square root of both sides of the equation:

x = √60

Simplifying the square root of 60 gives:

x ≈ 7.75

Therefore, the length of JK is approximately 7.75 units.

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Answer:

its 3

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

4,7,12,19

We are adding 3,5,7,9..... each time

The sequence is not arithmetic because we are not adding a constant.  It is not geometric since we are not multiplying by a constant term each time

There is no common difference  or common ratio.

The explicit formula is

an =n^2 +3

The recursive formula is

(n+1)^2 +3 - (n^2 +3)

    n^2 +2n+1+3 - ( n^2+3)

      2n+1

a sub(n+1) = a sub( n) + 2n+1

The 10th term

an      = n^2 +3

Let n=10

an = 10^2+3

    = 100+3

    = 103

summation

see image

since the numbers are increasing and greater than 1 the sum does not exist

There would be 40,320 different types of burgers.

If each burger must have all of the ingredients listed (cheese, lettuce, tomato, pickles, onions, mayo, catsup, and mustard), and the order of the ingredients is important, then the number of different types of burgers would be 8! (8 factorial), which is the number of permutations of 8 items.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

So there would be 40,320 different types of burgers that can be made with all of the ingredients and the order of placement is important.

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The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.

Option B is the correct answer.

We have,

From the graph plot,

We see that,

The y-intercept is when x = 0.

This means,

At 0 hours, the amount of diet soda is 40.5.

Now,

y = 40.5 means the machine starts with 40.5 ounces of diet soda.

Thus,

The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.

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Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

Parabola equation is
g(x) = x²- 8x + 15

x-intercepts are the x-values when y = 0

Solve for x at g(x)=

==> x² - 8x + 15 = 0

This is a quadratic equation which has two solutions

Factoring x² - 8x + 15 gives (x - 3)(x - 5) which makes the quadratic equation
(x - 3)(x - 5) = 0

==> x - 3 = 0 giving x = 3 as one solution and x - 5 = 0 giving x = 5 as the other solution

At both intercepts, y = 0

So the correct answer is
(3, 0) and (5, 0)

The rate of interest is given by the equation R = 3.5 %

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the rate of interest be represented as R

Now , the simple interest I = $ 175

The principal amount invested P = $ 2,500

The time period T = 2 years

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Rate of Interest = (Simple Interest x 100 ) / Principal Amount x Time Period )

Substituting the values in the equation , we get

Rate of Interest R = ( 175 x 100 ) / ( 2500 x 2 )

Rate of Interest R = 17500 / 5000

Rate of Interest R = 3.5 %

Hence , the interest rate is 3.5 %

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Answer:

Step-by-step explanation:

Quadrant I examples:

Quadrant II examples:

Quadrant III examples:

Quadrant IV examples:

Answer:

20

Step-by-step explanation:

Because this angle is 90 and we have 70

Answer:

\(2\frac{3}{50}\)

Step-by-step explanation:

So 2 would be your whole number

and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50

Answer:

20°

Step-by-step explanation:

180-140=40

1/2 of 40=20

Pre-paid interest = $405,225 * 0.0138888888888889 * 22

To calculate the amount of pre-paid interest the Smiths must pay at closing, we need to determine the daily interest rate and then multiply it by the number of days between the closing date and the first mortgage payment date.

Given:

- Sales price of the home: $450,250

- LTV (Loan-to-Value) ratio: 90%

- Loan term: 15 years

- Interest rate: 5.00%

First, let's calculate the loan amount. Since the LTV is 90%, the loan amount will be 90% of the sales price:

Loan amount = 0.9 * $450,250 = $405,225

Next, we need to calculate the daily interest rate. The annual interest rate is 5.00%, so the daily interest rate can be obtained by dividing the annual interest rate by the number of days in a year (assuming a 360-day calendar year):

Daily interest rate = 5.00% / 360 = 0.0138888888888889

Now, we need to determine the number of days between the closing date (January 10, 2011) and the first mortgage payment date. Let's assume the first mortgage payment is due on February 1, 2011. The number of days between these two dates is 22 days.

Finally, we can calculate the pre-paid interest amount by multiplying the loan amount by the daily interest rate and the number of days:

Pre-paid interest = Loan amount * Daily interest rate * Number of days

Pre-paid interest = $405,225 * 0.0138888888888889 * 22

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Answer:

the answer is 3

Step-by-step explanation:

21 x 3 =7

hope it helps

Answer:

21/7

Step-by-step explanation:

Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3

\(3(3a + 4)\)

this the anwers

Answer:

An easy way to do it,is just multiply both terms by a number 2 (9a+12)=18a+24 it doesn't have to be 2, it can be any number

Hope this Helps:)

The steps needed is :Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Dilation is a transformation, which is used to resize the object.

As the radius of big circle is 6 then the dilation should be scale factor 3.

As well as they should share the same center.

The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,

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Average rate of return for 3D Printer is 4% and for Truck is 9%.

Average income = Estimated total income/ useful life.

For 3D Printer,

Average Income = 4160/ 4

Average Income = $1040

For Truck,

Average Income = 15120/ 7

Average Income = $2160

Average Investment = (Investment + residual value)/ 2

For 3D Printer,

Average Investment = (52000 + 0)/ 2

Average Investment = $26000

For Truck,

Average Investment = (48000 + 0)/ 2

Average Investment = $24000

Average rate of return = Average Income/ Average Investment

For 3D Printer,

Average rate of return = 1040/26000

Average rate of return = 4%

For Truck,

Average rate of return = 2160/24000

Average rate of return = 9%

Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.

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Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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Answer:

0.1490 = 14.90% probability that a randomly selected potential customer will purchase the product.

Step-by-step explanation:

Probability of seeing the ad:

I am going to find this probability using Venn Sets.

I am going to say that:

Event A: Sees a magazine ad.

Event B: Sees a television ad.

Approximately 1 in 50 potential buyers of a product sees a given magazine ad

This means that \(P(A) = \frac{1}{50} = 0.02\)

1 in 5 sees a corresponding ad on television.

This means that \(P(B) = \frac{1}{5} = 0.2\)

One in 100 see both.

This means that \(P(A \cap B) = \frac{1}{100} = 0.01\)

The probability of seeing the ad is the probability of seeing at least one of those(magazine or tv), which is:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\). So

\(P(A \cup B) = 0.2 + 0.02 - 0.01\)

\(P(A \cup B) = 0.21\)

Probability of purchasing the product.

0.21 = 21% of customers see the add. Of those, 1/3 = 0.3333 buy the product.

1 - 0.21 = 0.79 = 79% of customers dont see the add. Of those, 1/10 = 0.1 buy the product. So

\(p= 0.21*0.3333 + 0.79*0.1 = 0.1490\)

0.1490 = 14.90% probability that a randomly selected potential customer will purchase the product.