13.

In circle A, secant EC and tangent BC intersect at C.

mEB = 166° and mBD = 80°

B

А.

С

What is mZBCD ?

Answer:

24 months.

Step-by-step explanation:

168 sellouts.

7 times per month.

So to find the amount of months, all we have to do is divide the sellouts by the times per month.

168/7=24.

24 months.

Answer:

Each pizza cost $4.50.

Step-by-step explanation:

p = price of each pizza  

l = cost of soda

3p + l = 15.00

l = 1.50  Plug in 1/5 for l in the equation above.

3p + l = 15.00

3p + 1.5 = 15.00  Subtract 1.52 from both sides of the equation

3p = 13.5  Divide both sides by 3

p = 4.50

Answer:

the answer is 6.63

Answer:

a) \(x = 10^{18}\,\mu m^{2}\), b) \(x = 10^{18}\), c) \(x = 10^{21}\,\mu m^{2}\), d) \(x = 10^{21}\), e) \(x = \frac{1}{10^{21}}\),  f) \(x = 10^{3}\,nm^{2}\), g) \(x = 10^{3}\,nm^{2}\)

Step-by-step explanation:

a) The product of one terameter and one micrometer is:

\(x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{6}\,\frac{\mu m}{m} ) \cdot (1\,\mu m)\)

\(x = (10^{18}\,\mu m)\cdot (1\,\mu m)\)

\(x = 10^{18}\,\mu m^{2}\)

b) The quotient of one terameter and one micrometer is:

\(x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{6}\,\frac{\mu m}{m} )}{1\,\mu m}\)

\(x = \frac{10^{18}\,\mu m}{1\,\mu m}\)

\(x = 10^{18}\)

c) The product of terameter and one nanometer is:

\(x = (1\,tm)\cdot (10^{12}\,\frac{m}{tm})\cdot (10^{9}\,\frac{nm}{m} ) \cdot (1\,nm)\)

\(x = (10^{21}\,nm)\cdot (1\,nm)\)

\(x = 10^{21}\,\mu m^{2}\)

d) The quotient of one terameter and one nanometer is:

\(x = \frac{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}{1\,nm}\)

\(x = \frac{10^{21}\,nm}{1\,nm}\)

\(x = 10^{21}\)

e) The quotient of one nanometer and one terameter is:

\(x = \frac{1\,nm}{(1\,tm)\cdot (10^{12}\,\frac{m}{tm} )\cdot (10^{9}\,\frac{nm}{m} )}\)

\(x = \frac{1\,nm}{10^{21}\,nm}\)

\(x = \frac{1}{10^{21}}\)

f) The quotient of one nanometer and one micrometer is:

\(x = \frac{1\,nm}{(1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )}\)

\(x = \frac{1\,nm}{10^{3}\,nm}\)

\(x = \frac{1}{10^{3}}\)

g) The product of one nanometer and one micrometer is:

\(x = (1\,nm)\cdot (1\,\mu m)\cdot (10^{3}\,\frac{nm}{\mu m} )\)

\(x = 10^{3}\,nm^{2}\)

The verbal expression of 6f² + 5f is the sum of the product of 6 and f square with a product of five and f.

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

In other meaning, expression is very useful to determine the end or root value of constraint.

For example 3x +5y

The constraint of expression is represented as = or <, >.

Given the expression

6f² + 5f

Here 6f² is called a product of 6 and f square.

And,

5f is called a product of 5 and f

And, finally, the sum is 6f² + 5f.

Hence  "The verbal expression of 6f² + 5f is the sum of the product of 6 and f square with a product of five and f".

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Answer: The bottom three: \(\frac{48}{-17}\), \(\frac{-48}{17}\), and -2 \(\frac{14}{17}\)

Step-by-step explanation:

     The first option is not because the numerator and denominator are flipped.

     The second option is not because this one is positive while the one given is negative.

     The third option is equivalent.

     The fourth option is equivalent.

     The fifth option is equivalent because - 48 / 17 = -2 \(\frac{14}{17}\) when turned into a mixed number.

Answer:

\(\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}\) (the last 3 options)

Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both \(\frac{48}{-17}\) and \(\frac{-48}{17}\) work as answers. The last option is just a simplified version of the fraction.

Max's swim time during the triathlon would be 42 minutes.

Rather than being stated as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You split the part of the whole by the whole and multiply the result by 100 to get the percentage.

To calculate this, we first need to find out how much Max's original swim time will decrease by 30%. We can do this by multiplying his original swim time by 0.3:

60 minutes x 0.3 = 18 minutes

This means that Max will decrease his original swim time by 18 minutes during the triathlon.

To find out Max's new swim time during the triathlon, we need to subtract the amount of time he will decrease from his original swim time:

60 minutes - 18 minutes = 42 minutes

Therefore, Max's swim time during the triathlon would be 42 minutes.

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To solve this problem, let's assume the speed of the current is "x" mph. When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the speed of the boat relative to the water is 11 - x mph.

When the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the speed of the boat relative to the water is 11 + x mph.

Now, let's calculate the time taken for each leg of the journey:

Time taken to go 40 miles upstream = Distance / Speed
Time taken to go 40 miles upstream = 40 / (11 - x) hours

Time taken to go 70 miles downstream = Distance / Speed
Time taken to go 70 miles downstream = 70 / (11 + x) hours

According to the problem, these times are equal. So, we can set up the equation:

40 / (11 - x) = 70 / (11 + x)

To solve this equation, we can cross-multiply:

40 * (11 + x) = 70 * (11 - x)

440 + 40x = 770 - 70x

Now, let's solve for x:

110x = 330

x = 3

Therefore, the speed of the current is 3 mph.

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The additive inverse of a function f(x) is the function that, when added to f(x), equals 0. In other words, the additive inverse of f(x) is the function that "undoes" the effect of f(x).

The multiplicative inverse of a function f(x) is the function that, when multiplied by f(x), equals 1. In other words, the multiplicative inverse of f(x) is the function that "undoes" the effect of f(x) being multiplied by itself.

For the function h(x) = x - 24, the additive inverse is j(x) = -x + 24. This is because when j(x) is added to h(x), the result is 0:

\(h(x) + j(x) = x - 24 + (-x + 24) = 0\)

The multiplicative inverse of h(x) is k(x) = 1/(x - 24). This is because when k(x) is multiplied by h(x), the result is 1:

\(h(x) * k(x) = (x - 24) * 1/(x - 24) = 1\)

Therefore, the additive inverse of  \(h(x) = x - 24\) is \(j(x) = -x + 24\\\),

and the multiplicative inverse of \(h(x) = x - 24\)is \(k(x) = \frac{1}{x - 24}\).

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Answer:

x = 27 units

Step-by-step explanation:

39 / ( 39+ 26) = x / (x+18)

x = 27

The equations are e = 18+12t and a = 45+9t

Adrian will be father along in the book after 4 days. She will be 15 pages ahead of Ethan

Ethan's page number at the beginning of the month = 18

Adrian's page number at the beginning of the month = 45

Pages read by Ethan each day = 12 pages

Pages read by Adrian each day = 9 pages

Let e represent the page of the book that Ethan is on at the end of t days into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.

Formulating the equation we get the following:

e = 18 + 12t

a = 45 + 9t

Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:

e = 18+12(4)

e = 66

a = 45 + 9(4)

a = 81

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Answer:

1.46666666667 feet per second

Step-by-step explanation:

60 miles per hour = 88 feet per second

=> 60/60 miles per hour = 88/60 feet per second

=> 1 mile per hour = 1.46666666667 feet per second

It can be seen that Bank of Nation provides the highest return after a year.

For Bob's Bank: $2,000 * (1 + 0.02) = $2,040.

For Bank of Nation: $2,000 * (1 + 0.03) = $2,060.

For Lincoln Savings: $2,000 * (1 + 0.015) = $2,030.

So, after one year, Tyler would be able to withdraw $2,040 from Bob's Bank, $2,060 from Bank of Nation, and $2,030 from Lincoln Savings.

Therefore, Bank of Nation provides the highest return after a year.

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The Complete Question

The annual interest rates for Bob's Bank, Bank of Nation, and Lincoln Savings are 2%, 3%, and 1.5% respectively

How much money will Tyler be able to withdraw if he puts $2,000 in Bob’s Bank for one year? Bank of Nation? Lincoln Savings?

Answer:

The answer is 9 hours and 25 minutes

Step-by-step explanation:

if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes

hope that helps>3

Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg, or 1.75 kg more than Mr. Rajesh.

Mr. Kuldeep bought 7½ kg of rice and Mr. Rajesh bought 5¾ kg of rice. To find out who bought more rice and by how much, we need to compare the two quantities.

First, let's convert the mixed numbers into improper fractions:

7½ kg = (7 x 2 + 1)/2 = 15/2 kg

5¾ kg = (5 x 4 + 3)/4 = 23/4 kg

Now, let's compare the two fractions:

15/2 kg > 23/4 kg

Therefore, Mr. Kuldeep bought more rice than Mr. Rajesh.

To find out by how much, we need to subtract the smaller quantity from the larger one:

15/2 kg - 23/4 kg = (30 - 23)/4 kg = 7/4 kg

So, Mr. Kuldeep bought 7/4 kg or 1¾ kg more rice than Mr. Rajesh. In conclusion, Mr. Kuldeep bought more rice than Mr. Rajesh by 1¾ kg.

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If the tens digit of a two-digit number is one more than the units digit and the number itself is 6 times the sum of the digits, then the solution is a two-digit number 54.

Let's assume that the units digit of the two-digit number is x. According to the problem statement, the tens digit is one more than the units digit, which means that the tens digit is x + 1. Therefore, the two-digit number can be expressed as 10(x+1) + x, which simplifies to 11x + 10.

The problem also states that the number is 6 times the sum of its digits. The sum of the digits is x + (x + 1) = 2x + 1. Therefore, we can set up an equation:

11x + 10 = 6(2x + 1)

Simplifying the equation, we get:

11x + 10 = 12x + 6

Subtracting 11x from both sides, we get:

10 = x + 6

Subtracting 6 from both sides, we get:

x = 4

Therefore, the units digit is 4, and the tens digit is one more than that, which is 5. The two-digit number is 54. We can check that this is indeed 6 times the sum of its digits:

54 = 6(4 + 5)

54 = 6(9)

54 = 54

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Answer:

You are correct.
Hope this helps!

Step-by-step explanation:

The lines intersect at one point and that is the solution.

( The image shows a graph with infinite solutions. ( ignore the Byjus thing i was just trying to find an image that showed an example ... ) )

Answer:  Therefore, the maximum distance you can ride for $20 is 6 kilometers.

Step-by-step explanation:   The inequality to determine the distance in kilometers, d, you can ride for $20 is:

$5 + $2.50d ≤ $20

Simplifying the above inequality, we get:

$2.50d ≤ $15

Dividing both sides by $2.50, we get:

d ≤ 6

Answer:

The desired divisor is n = 21

Step-by-step explanation:

Let that number be n.  Then:

-15/56        -5

---------- = ---------

     n            6

Through cross-multiplication we get:

(-15/56)*6 = -5n, which reduces to:

(-15)(7) = -5n, or 3(7) = n

The desired divisor is n = 21

Answer:

At the end of 5 months you will own $100 dollars

Step-by-step explanation:

20 x 5 = 100

Answer:

no it will be 100

Step-by-step explanation:

20 x 5 = 100

The population size of the protozoa after seven days, starting with an initial population of five members and a constant relative growth rate of 0.469 per member per day, can be calculated using the formula\(P(t) = 5 * e^{(0.469 * 7)\).

Part 1 of the question establishes that the relative growth rate of the protozoa population is 0.469 per member per day. This information helps us define the differential equation that represents the growth: dP/dt = 0.469P.

Part 2 introduces the exponential growth formula for population growth, which states that \(P(t) = P(0)e^{kt\) where P(t) is the population size at time t, P(0) is the initial population size, k is the growth rate, and e is the base of the natural logarithm.

To find the population size after seven days, we substitute the given values into the formula: \(P(t) = 5 * e^{(0.469 * 7)\). Evaluating this expression yields the final answer, which represents the population size of the protozoa after seven days.

Note: The calculation itself is not included in the answer as the model response is limited to explaining the approach.

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Answer: C) x = 2

2^{2x + 2} = 2^{3x}

Since both terms (above) have the same base, set the exponents to be equal:

2x + 2 = 3x (Rearrange to solve for x)

x = 2

∴ x = 2

Answer:

A

Step-by-step explanation:

26 x 13 = 338

5 x 12 x 1/2 = 30

30 + 338 = 368

Answer:

B because the input is not the same!

Step-by-step explanation:

Not A because the input can't be the same.

Not C because the input can't be the same.

Not D because the input can't be the same.

The probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors is approximately 0.5905. Hence the correct answer is (a) 0.5905.

To calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors, we can use the concept of binomial probability.

Let's denote the probability of a microprocessor being defective as p = 0.10 (10% defective) and the number of microprocessors Dell tests as n = 5.

We want to calculate the probability that all five tested microprocessors are non-defective, which is equivalent to the probability of having zero defective microprocessors in the sample.

Using the binomial probability formula, the probability of getting exactly k successes (non-defective microprocessors) in n trials is:

\(\[P(X = k) = \binom{n}{k} \cdot p^k \cdot (1 - p)^{n - k}\]\)

For this case, we want to calculate P(X = 0), where X represents the number of defective microprocessors.

\(\[P(X = 0) = \binom{5}{0} \cdot 0.10^0 \cdot (1 - 0.10)^{5 - 0} \\= 1 \cdot 1 \cdot 0.9^5 \\\\approx 0.5905\]\)

Therefore, the correct answer is (a) 0.5905.

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Answer:

m>60

Explanation:

Let the number of miles driven = m

Company A charges $97 and allows unlimited mileage.

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.

When the charge for Company A is less than that of Company B:

We then solve the inequality for m:

Company A will charge less than Company B when the number of miles driven, m is greater than 60.