The Cruisers scored a total of 105 points in a basketball game against the Strikers. The Cruisers had a total of 43 baskets, some of which were two-point shots and some of which were three-point shots. How many two-point and three-point shots did the Cruisers score?

Total bit strings of length are 512.

What is bit ?

In each computing and digital communications, the bit is that the most elementary unit of information. The word could be a combination of 2 binary digits. A logical state with one amongst 2 potential values is portrayed by the bit.

Main body:

1 bit: 2 strings: 0, 1

2bit: 4 strings: 00, 01, 10, 11

3bit: 8 strings: 000, 001, 010, 011, 100, 101, 110, 111

4bit: 16 strings: 0000,0001,0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001. 1010, 1011, 1100, 1101, 1110, 1111

5bit: 32 strings

6bit: 64 strings

7bit: 128 strings

8bit: 256 strings

9 bits: 512 strings

OR this can be done by

Each bit has 2 possible values, so a string of length 9 has 2⁹ = 512 possible values.

Hence total bit sting are 512.

To learn more about bit click on the link below

https://brainly.com/question/19667078

#SPJ4

Answer: I think it is 364.80

Answer:

See below

Step-by-step explanation:

Density =  mass / volume

             =  1745 g / (8.6 * 5.3 *4.9) cm^3 = 7.8 gm / cm^3

                     ( two significant digits because measurements are two S.D.)             .                                (Don't forget UNITS !)

Answer:

I would say the answer is C

Step-by-step explanation:

Answer:

1)Yes

2)No

Step-by-step explanation:

1) 3x^2 = -27

3 (-3)^2 = -27

Once you substitute your value in for x, you can follow the rule PEMDAS to solve the equation.

3 (-9) = -27

-27 =-27

2) 10 - 5x = y

In an ordered pair, the first number is x and the second number is y.

10 - 5 (-4) = 10

10 - 20 = 10

-10 = 10

-10 ≠ 10

PEMDAS: A rule that states solving an equation by the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

We can simplify the expression as follows:

- First, we can simplify inside the parenthesis: 12 - 3 + 6x = 9 + 6x.

- Next, we can substitute this simplified expression back into the original expression:

-1/3(9 + 6x) = -3 - 2x, distributing the -1/3 through.

Therefore, -1/3(12-3+6x) is equivalent to -3-2x.

To find U(2), we need to solve the given system of equations using Laplace transforms, find the inverse Laplace transforms of X(s) and Y(s) to obtain x(t) and y(t), respectively, and then substitute t=2 into x(t).

To solve the given system of equations, we will use Laplace transforms. First, let's find the Laplace transforms of the given equations:

1) Taking the Laplace transform of the first equation, we get:
s^2X(s) - s + 5Y(s) = 1/s^2

2) Taking the Laplace transform of the second equation, we get:
s^2Y(s) - 4Y(s) - 2sX(0) = -2/s

Using the initial conditions, we can simplify the second equation:
s^2Y(s) - 4Y(s) = -2/s

Now, let's solve the above equations for X(s) and Y(s). Rearranging the first equation, we have:
X(s) = (1 + s - 5Y(s)) / s^2

Substituting this into the second equation, we get:
s^2Y(s) - 4Y(s) = -2/s + 2(1 + s - 5Y(s)) / s^3

Simplifying, we have:
s^3Y(s) - 4sY(s) = -2 + 2/s + 2s - 10Y(s)

Combining like terms, we obtain:
s^3Y(s) - 10Y(s) - 4sY(s) + 10Y(s) = -2 + 2/s + 2s

Simplifying further, we get:
s^3Y(s) - 4sY(s) = -2 + 2/s + 2s

Now, we can solve for Y(s):
Y(s)(s^3 - 4s - 10) = -2 + 2/s + 2s

Finally, we can find the inverse Laplace transform of Y(s) to obtain y(t). From the equation above, we see that Y(s) is a function of s, which means we can use partial fraction decomposition to simplify it. Once we find Y(s), we can find x(t) using the equation x(t) = L^(-1)[X(s)]. Once we have x(t) and y(t), we can evaluate U(2) by substituting t=2 into x(t).
In conclusion, to find U(2), we need to solve the given system of equations using Laplace transforms, find the inverse Laplace transforms of X(s) and Y(s) to obtain x(t) and y(t), respectively, and then substitute t=2 into x(t).

To know more about function visit:

https://brainly.com/question/33375799

#SPJ11

Answer: =432000

Step-by-step explanation: Hope this help :D

If we divide an 8 by 10 for example, the answer is 0.8, So, when you divide a number by 10, you should move 1 place the decimal point to the left direction.

For example:

The correct answer is option (C) 55 minutes.

Let's break down the information given in the problem:

To find out how long it takes for Lauren to reach Andrea, we need to determine the time it takes for Andrea to cover half the distance between them. Once Andrea reaches the halfway point, Lauren will also have traveled the same distance.

Let's denote the time it takes for Andrea to reach the halfway point as "t" minutes. Since the distance decreases at a rate of 1 kilometer per minute, after "t" minutes, the distance between Andrea and Lauren will be reduced by "t" kilometers.

Now, let's calculate the distance traveled by Andrea in "t" minutes:

Distance = Rate × Time

Since Andrea is traveling three times as fast as Lauren, her rate is 3 times the rate of Lauren.

Distance traveled by Andrea in "t" minutes = (3 × 1) × t = 3t kilometers

The total distance between Andrea and Lauren at that time will be:

Distance between Andrea and Lauren = 20 - t kilometers

Since they meet at the halfway point, the distance traveled by Andrea (3t) will be equal to half the total distance (20 - t)/2:

3t = (20 - t)/2

To solve this equation, we can multiply both sides by 2:

6t = 20 - t

Now, solve for "t":

6t + t = 20

7t = 20

t = 20/7

Therefore, it will take Andrea 20/7 minutes to reach the halfway point.

Since Lauren continues biking for 5 more minutes after Andrea stops, the total time it takes for Lauren to reach Andrea is:

Total time = t + 5 = 20/7 + 5

To calculate this, we can convert 5 minutes to a fraction with a denominator of 7:

5 minutes = 35/7 minutes

Total time = 20/7 + 35/7 = (20 + 35)/7 = 55/7

So, Lauren will reach Andrea after 55/7 minutes.

To find the answer option that matches this time, we can calculate 55/7 and compare it to the answer choices:

55/7 ≈ 7.86

Among the given answer choices, the closest option to 7.86 is (C) 55. Therefore, the answer is (C) 55 minutes.

To learn more about distance traveled visit:

brainly.com/question/12696792

#SPJ11

Answer:

565

Step-by-step explanation:

18-53=-35

-35+6=-29

18-2=16

16+-29=-13

-13+578=565

Could I please have BRAINLIEST?

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

--------------

Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

Answer:

a) \(\frac{32}{21}\)

b) -14

c) -3

d) -96

Step-by-step explanation:

a) The parenthesis indicate multiplication.

b) Minus and plus gives subtraction, and the sign you put behind the number is the sign of the largest number you have (in this case it's 21 since we ignore the -)

c) They already have common denominators, all that's left is to do \(\frac{-7 -2}{3} = \frac{-9}{3} = -3\)

d) The parenthesis indicate multiplication.

Good luck!

The average payment will be $611.64.

It should be noted that average means mean. This implies that we will add the numbers and then divide.

This will be:

= ($23.42 + $14.95 + $276.50 + $219.93 + $76.84) / 5.

= $611.64

Therefore, the average payment will be $611.64.

Learn more about average or mean on:

brainly.com/question/19243813

#SPJ1

Answer:

All these added amount to $611.64, yes.

However, to find average, you then divide by 6.

Which equals; $101.94.

That is the average payment.

Step-by-step explanation:

Hope it helps.

i m not sure about the answer ...

The appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

To find the appropriate test statistic for a 2-sample z-test for two proportions, we need to calculate the standard error and then use it to compute the z-score. The formula for the standard error is:

SE = sqrt[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]

Where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

In this case, we have the following values:

X1 = 24 (number of successes in sample 1)

n1 = 200 (sample size 1)

X2 = 17 (number of successes in sample 2)

n2 = 150 (sample size 2)

To calculate the sample proportions, we divide the number of successes by the respective sample sizes:

p1 = X1 / n1 = 24 / 200 = 0.12

p2 = X2 / n2 = 17 / 150 = 0.1133

Now, we can plug these values into the formula to calculate the standard error:

SE = sqrt[(0.12 * (1 - 0.12) / 200) + (0.1133 * (1 - 0.1133) / 150)]

SE ≈ 0.0319

Finally, the test statistic (z-score) is calculated by subtracting the two sample proportions and dividing by the standard error:

Z = (p1 - p2) / SE

Z = (0.12 - 0.1133) / 0.0319

Z ≈ 0.2103

Therefore, the appropriate test statistic for this test is approximately 0.2103 (rounded to 4 decimal places).

Learn more about decimals here: brainly.com/question/30958821

#SPJ11

Answer:

17b+3n+14

Step-by-step explanation:

no any step

okk

finished

Answer:

Step-by-step explanation:

(8b+12)+(3n+6)+(9b-4)

Remove the parentheses:

8b+12+3n+6+9b-4

Group like terms:

8b+9b+3n+12+6-4

Add the similar element:8b+9b=17b

=17b+3n+12+6-4

add/subtract the numbers:12+6-4=14

=17b+3n+14

Zack will have to make payments for approximately 6 years and 0 months (or 6 years if we round down).

To calculate the number of years and months Zack will have to make payments, we can use the formula for the present value of an annuity:

PV = PMT x [(1 - (1 + r)^-n) / r]

where PV is the present value of the loan, PMT is the payment made at the end of each year, r is the annual interest rate, and n is the total number of payments.

In this case, PV = $2355.00, PMT = $302.00, r = 4%, and we want to find n.

Substituting these values into the formula and solving for n, we get:

2355 = 302 x [(1 - (1 + 0.04)^-n) / 0.04]

7.796 = (1 - (1 + 0.04)^-n) / 0.04

(1 + 0.04)^-n = 1 - (0.04 x 7.796)

(1 + 0.04)^-n = 0.68304

-n x log(1.04) = log(0.68304)

n = -log(0.68304) / log(1.04)

n = 6.005

Therefore, Zack will have to make payments for approximately 6 years and 0 months (or 6 years if we round down).

Learn more about interest here:

https://brainly.com/question/19128714

#SPJ11

Answer:

$41.7942

Step-by-step explanation:

First you need to change 7% into a decimal (you do this by dividing it by 100)

7÷100=0.07

Then, you multiply 0.07 with 44.94

0.07×44.94=3.1458

3.1458 is the amount for the extra fees.

After that, you subtract 44.94 with 3.1458

44.94-3.1458=41.7942

This gives us the original price, so, the original price is $41.7942.

Answer: 48 pupils get the bus to the cinema and 36 pupils walk to the cinema.

Step-by-step explanation:

Let's suppose that there are a total of N pupils.

We know that N/4 walk to the cinema.

We know that N/3 get the bus to the cinema.

And the remainder is equal to 60 people.

Then:

N - N/4 - N/3 = 60

N*(1 - 1/4 - 1/3) = 60

N( 12/12 - 3/12 - 4/12) = 60

N*( 5/12) = 60

N = (12/5)*60 = 144

Then the number of pupils that walk to the cinema is N/4, or:

144/4 = 36

And the number of pupils that get the bus is N/3, or:

144/3 = 48.

Answer:

30 onions in each row. I think he could because 600/10 is 60.

The value of x is 14 and the measure of angle J s 103

The given angles are external angles of parallel lines and a transversal

So, we have:

6x - 7 + 7x + 5 = 180

Evaluate the like terms

13x = 182

Divide both sides by 13

x = 14

Substitute x = 14 in J = 7x + 5

J = 7 x 14 + 5

Evaluate

J = 103

Hence, the value of x is 14 and the measure of angle J s 103

Read more about angles at:

https://brainly.com/question/25716982

#SPJ1

The values of x and angle J are 14 and 103 degrees respectively.

It is important to note that angles on a transversal line are supplementary, that is, they sum up to 180 degrees

Given the angles as;

Equate the angles

6x - 7 + 7x + 5 = 180

collect like terms

6x + 7x = 180 +2

13x = 182

Make 'x' the subject

13x/ 13 = 182/ 13

x = 14

But angle J = 7x + 5 = 7(14) + 5 = 98 + 5 = 103

Thus, the values of x and angle J are 14 and 103 degrees respectively.

Learn more about supplementary here:

https://brainly.com/question/12919120

#SPJ1

The value of the upper limit of the 4th class in the Frequency Distribution would be 66.

To determine the upper limit of the 4th class in the Frequency Distribution, we need to divide the range of the data into equal intervals. The range is the difference between the largest and smallest values in the data set, which in this case is 101 - 3 = 98.

Since we want to create 6 classes, we divide the range by the number of classes: 98 / 6 = 16.33 (approx).

To find the upper limit of the 4th class, we start with the lower limit of the first class, which is the smallest value in the data set, 3. Then, we add the interval width to the lower limit successively for each class.

The upper limit of the 1st class: 3 + 16.33 = 19.33 (approx)

The upper limit of the 2nd class: 19.33 + 16.33 = 35.66 (approx)

The upper limit of the 3rd class: 35.66 + 16.33 = 51.99 (approx)

The upper limit of the 4th class: 51.99 + 16.33 = 68.32 (approx)

Since we want the value of the upper limit of the 4th class, rounded to the nearest whole number, it would be 66.

To know more about Frequency Distribution, refer here:

https://brainly.com/question/30625605#

#SPJ11

Answer

Angle NOL = 70°

Explanation

Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.

We can see that Angle MLO and Angle NOL are alternate angles.

And since we have been told that KM and NP are parallel lines,

Angle NOL = Angle MLO = 70°

Hope this Helps!!!

Function 1 has a greater slope than Function 2, and the answer is Function 1.

Function 1 is defined by the equation y = \(\frac{5}{4}r - 1\).

Function 2 is defined by line p, which is shown on the graph.

The problem asks which function has a greater slope.

The slope of a line is calculated by the ratio of the difference between the vertical axis values and the difference between the horizontal axis values.

This is shown in the formula:

slope = rise/run.

Here, rise refers to the vertical difference and run refers to the horizontal difference.

This means that the slope of a line measures how steeply the line is increasing or decreasing.

Function 1: y = \(\frac{5}{4}r - 1\)

Here, the equation of Function 1 is given as y = \(\frac{5}{4}\)r - 1.

From this equation, we can see that the slope of Function 1 is equal to \(\frac{5}{4}\).

Therefore, the slope of Function 1 is 1.25.Function 2: Line pNext, we need to determine the slope of line p, which represents Function 2.

To do this, we can use two points on the line.

From the graph, we can see that the line passes through the point (0, -2) and the point (4, 1).

The rise of this line is equal to 1 - (-2) = 3, while the run is equal to 4 - 0 = 4.

Thus, the slope of line p is equal to 3/4.

Therefore, the slope of Function 2 is 0.75.

Comparing the slopes, we can see that Function 1 has a greater slope than Function 2.

Specifically, the slope of Function 1 is 1.25, while the slope of Function 2 is 0.75.

For more related questions on slope:

https://brainly.com/question/3605446

#SPJ8

The area of the figure given below is 56.6 units² .

In the question ,

a figure is given

where there is one rectangle and two semicircles .

the length of the rectangle is given as 11 units

and the breadth of the rectangle is = 4 units

we know that the area of the rectangle is = length × breadth

on substituting the values ,

we get

area = 11 × 4

area = 44 units²

the radius of the semicircle = 2 units

the are of the semi circle = (1/2)*π*r²

since there are two semicircle , the area of the two semi circle will be

= 2 * (1/2)πr²

= π*r²

On substituting , the value of radius = 2 ,

we get the area is = 3.14*(2)² = 12.56       using π = 3.14

so the area of the complex figure is = 44 + 12.56 = 56.56

≈ 56.6

Therefore , The area of the figure given below is 56.6 units²  .

Learn more about Area here

https://brainly.com/question/11317901

#SPJ1

Answer:

The slope of line p is 3, and the slope of line q is -3.

Step-by-step explanation: