If you jump rope 192 times in 6 minutes - how many times do you jump in 1 minute?

Answer:

Explanation:

3m - 6 = 33

3m − 6 + 6 = 33 + 6

3m = 39

3m / 3 = 39 / 3

- PNW

Answer:

x= g+c-y

Step-by-step explanation:

add c to both sides

subtract y to both sides

leaves x all by itself on one side of the equation.

The statements that accurately describe the function f(x) = 3√18^x include the following:

A. The domain is all real numbers.

C. The initial value is 3.

F. The simplified base is 3√2

In Mathematics, an exponential function can be modeled by using this mathematical expression:

f(x) = a(b)^x

Where:

In order to determine the y-intercept (initial value), we would substitute 0 for x:

f(x) = 3(√18)ˣ

f(0) = 3(√18)⁰

f(0) = 3(1)

f(0) = 3

For the base of this exponential function, we have:

Base = √18 = (2 × 3 × 3)

Base = 3√2.

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Complete Question:

Which statements accurately describe the function f(x) = 3√18^x? Check all that apply.

A. The domain is all real numbers.

B. The range is y > 3.

C. The initial value is 3.

D. The initial value is 9.

E. The simplified base is √2.

F. The simplified base is 3√2

Answer:

He loses 100 Rs. during the process of buying and selling.

Step-by-step explanation:

1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.

2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.

3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.

4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.

( Now there are 2 scenarios in this case )

1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.

2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .

( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )

I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.

I hope this helped have a good day!

Answer:

Profit %= 50%

Step-by-step explanation:

Price for 40 bulbs: Rs.800

Price for 1 bulb each: 800/40= Rs 20

Price for 10 bulbs= 10*20=Rs. 200

This means that Rs. 200 were wasted due to 10 bulbs being broken.

The remaining bulbs; 30 are sold at a price of Rs 30 each.....

In reality, the price of the remaining 30 bulbs: 30*20=600

Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900

Profit=  SP-CP; Profit= 900- 600= Rs 300

Profit%= 300*100/600= 50%

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

According to question,

slope = (-1/2-3/4)/(5/6-(-2/3))

slope = (-5/4)/(9/6)

slope = -30/36

slope = -5/6

The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

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Approximately 34.87% of the readers surveyed don't use e-readers.

To find the approximate sample proportion of readers who use e-readers, we divide the number of readers who said they read books on e-readers (1954) by the total number of readers surveyed (3000):

Approximate sample proportion = Number of readers who use e-readers / Total number of readers surveyed

Approximate sample proportion = 1954 / 3000 ≈ 0.6513

To express this as a percentage, we multiply the sample proportion by 100:

Approximate sample proportion as a percentage = 0.6513 × 100

= 65.13%

Therefore, the approximate sample proportion of readers who use e-readers is approximately 65.13%.

This means that approximately 65.13% of the readers surveyed use e-readers.

To determine the percentage of readers who don't use e-readers, we subtract the sample proportion from 100%:

Percentage of readers who don't use e-readers = 100% - 65.13%

= 34.87%

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Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

The lines of best fit show the relationship between the hours spent on texting and exercising.

(a) The equation of line of best fit

From the graph (see attachment), we have the following points:

\(\mathbf{(x,y) = (5,5),\ (2,7.2)}\)

The slope of the line is:

\(\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}\)

So, we have:

\(\mathbf{m = \frac{7.2-5}{2-5}}\)

\(\mathbf{m = \frac{2.2}{-3}}\)

\(\mathbf{m = -0.73}\)

The equation is then calculated as:

\(\mathbf{y = m(x - x_1) + y_1}\)

This gives:

\(\mathbf{y = -0.73(x - 5) + 5}\)

\(\mathbf{y = -0.73x + 3.65 + 5}\)

\(\mathbf{y = -0.73x + 8.65 }\)

Hence, the equation of the line of best fit is \(\mathbf{y = -0.73x + 8.65 }\)

(b) The time spent exercising for a student who spends 6 hours texting

This means that x = 6.

So, we have:

\(\mathbf{y = -0.73 \times 6 + 8.65 }\)

\(\mathbf{y = -4.38 + 8.65 }\)

\(\mathbf{y = 4.27 }\)

Hence, the time spent exercising for a student who spends 6 hours texting is 4.27 hours

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Answer:

x = 12

Step-by-step explanation:

g(x)= 2x-4

g(x)= 20

Therefore,

2x-4 = 20

Bringing -4 to the other side it becomes positive,so..

2x= 20+4

= 24

x =24/2

= 12

Answer:

A

Step-by-step explanation:

Answer:

a) 18 cm

Step-by-step explanation:

c=2(pi)r

36(pi)=2(pi)r

18=r

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

The volume of the container is 1584 inch³.

Step-by-step explanation:

The volume of a rectangular prism is:

\(\text{Volume}=\text{l}\times\text{w}\times\tect{h}\)

It is provided that the container is made up of two rectangular prisms.

The dimensions are as follows:

Compute the volume of the rectangular prism 1 as follows:

\(\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)\(\text{V}_{1}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)

    \(=14\times 6\times 16\\=1344\)

Compute the volume of the rectangular prism 2 as follows:

\(\text{V_{1}}=\text{l}_{1}\times\text{w}_{1}\times\text{h}_{1}\)\(\text{V}_{2}=\text{l}_{2}\times\text{w}_{2}\times\text{h}_{2}\)

    \(=10\times 6\times 4\\=240\)

Then the volume of the container will be:

\(\text{Volume of container}=\text{V}_{1}+\text{V}_{2}\)

                             \(=1344+240\\=1584\)

Thus, the volume of the container is 1584 inch³.

Answer:

Step-by-step explanation:

What is the volume of the container below?

2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches.

576 inches cubed

1,080 inches cubed

1,584 inches cubed

1,920 inches cubed

The equation of line A in the form y = mx + c is y = (-1/5)x + 6

We have,

The given line has a slope of 5 since it is in the form y = mx + b where m is the slope.

So a line perpendicular to it will have a slope of -1/5 because the product of the slopes of perpendicular lines is -1.

Since the y-intercept of line A is 6, the equation of line A can be written as:

y = (-1/5)x + 6

Therefore,

The equation of line A in the form y = mx + c is y = (-1/5)x + 6

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[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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Answer:The answer is 5622580

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x/5>1/20 multiply both sides by 5

-x>5/20 divide both sides by -1 ( so you must reverse equality sign)

x<-5/20 divide both numerator and denominator by 5

x<-1/4

The probability that the system can decode the correct message is approximately 0.9477.

The random variable N denotes the number of error-free transmissions for a single meter upon receiving the wake-up call.

Since each transmission is error-free with probability p=0.9 and the transmissions are independent, the number of error-free transmissions follows a binomial distribution with parameters n=4 (number of trials) and p=0.9 (probability of success in each trial).

The probability mass function (PMF) of N is given by:

P(N=k) = (4 choose k) × \(0.9^k\) × \(0.1^{(4-k)}\), for k = 0, 1, 2, 3, 4

where (4 choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of 4 trials.

The error correction scheme can decode the correct message if at least 3 out of 4 transmissions are error-free. Let X be the number of error-free transmissions for a single meter.

Then the probability that the system can decode the correct message is:

P(X >= 3) = P(X = 3) + P(X = 4)

To find these probabilities, we use the PMF of N from part 1:

P(X = 3) = P(N = 3) + P(N = 4) = (4 choose 3) × \(0.9^3\) × 0.1 + (4 choose 4) × \(0.9^4\) × \(0.1^0\) = 0.2916

P(X = 4) = P(N = 4) = (4 choose 4) × \(0.9^4\) × \(0.1^0\) = 0.6561

Therefore, the probability that the system can decode the correct message is:

P(X >= 3) = P(X = 3) + P(X = 4) = 0.2916 + 0.6561 = 0.9477.

So the probability that the system can decode the correct message is approximately 0.9477.

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Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

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Answer:

B

Step-by-step explanation:

Since x is 3, you go 3 units right. Since y is -2, you go 2 units down.

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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Answer:

D

Step-by-step explanation:

An angle that measures 180 degrees resembles a straight line.

A is greater than 90 degrees but less than 180 degrees.

B is less than 90 degrees.

C is equal to 90 degrees.

D is equal to 180 degrees.

Answer:

I believe that the answer is B.

Step-by-step explanation:

You can automatically elleminate A bc blue is not larger that red so it is down to C and D. C and D is to small of a percentage bc it would more than likely be one of the smaller numbers on there but red is the largest number in the chart.

So that is why my answer is B.

Answer:

Yes, it is possible to have a function f:A→B with an element b∈B so that f does not assign any element to b. This happens when b is not in the range of f 1.

I hope this helps!

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Check the picture below.

\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ A=900\\ b=2a\\ h=40 \end{cases}\implies 900=\cfrac{40(a+2a)}{2} \\\\\\ 1800=40(3a)\implies 1800=120a\implies \cfrac{1800}{120}=a\implies \boxed{15=a}~\hfill \boxed{b=30}\)