4 times a number is 12 less than the square of that number. Find the positive solution.

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ1

Answer:

I am almost completely sure its 4.

Step-by-step explanation:

I dont mind brainiests by the way

Answer:

he pay 12.50 in 60 min

Step-by-step explanation:

he pay x in 390 min

x=(12.50 x 390)÷ 60

x=4875 ÷60

x=81.25 £

he pay finally £81.25

Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

To know more about probability, visit:https://brainly.com/question/30034780

#SPJ1

Answer:

Length: 10

Width: 9

Explanation:

Perimeter Formula:

2(length + width)

So 2(length + width)=38

length + width=19

length + 9=19

length=10

Answer: Statement 1 is false.

Step-by-step explanation: 1 is false because all natural numbers, whole numbers, and integers are rationals.

The option that is a representation that shows y as a function of x is the graph in option 2. The answer is B.

A function is any relation or table of values which may be represented in a graph that has only one possible y value that is assigned to each x-value.

The first option is not a function because x-value 0 has two corresponding y-values, 4 and 9.

In the third option, we also have two y-values, 5 and -5, that is assigned to one x-value, 0. So, it is not a function.

The graph in option 2 represents y as a function of x, because no two y-values is assigned to the same x-value.

The answer is: B.

Learn more about function on:

https://brainly.com/question/10439235

#SPJ1

This is a transformation of the parent square root function, and it can be written as:

f(x) = √(-x + 4) - 2

It is ratter easy to identify the shape of the general square root function:

f(x) = √x

The only difference is that now it opens to the left, and it starts at the point (4, -2)

Then:

The sign of the x must be negative.

And with the known vertex we can write the equation:

f(x) = √(-x + 4) - 2

That is the graphed function.

Learn more about square roots at:

https://brainly.com/question/428672

#SPJ1

Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

Solution,

CP for rajan=180 rs

Sp for rajan=(20%+1)×180

=216

Cp for niranjan=216

And, Sp=.8×216

=172.8

Cp for niranjan=172.8

For 5% profit,

Sp for Niranjan=(5%+1)×172.8

=181.44

Hence, for Niranjan to gain 5% profit, he must sell it for 181.44 rs

Answer - 181.44

Explanation - For Rajan,

Cost Price = Rs 180

Profit Percent = 20%

Profit Percent = (S.P - C.P/C.P)*100

20 = (S.P - 180/180) *100

S.P = Rs 216

For Sajan,

C.P = Rs 216

Loss Percent= 20%

Loss = (C.P - S.P/C.P)*100

20 = (216-S.P/216)*100

S.P = Rs 172.8

For Niranjan to Sell Book and get 5% profit,

C.P = Rs 172.8

Profit Percent = (S.P - C.P/C.P)*100

5 = (S.P-172.8/172.8)*100

S.P = 181.44

Sampling distribution of mean, Sampling distribution of proportion and T-distribution.

An example of a sampling distribution is a probability distribution of a statistic that is derived by repeated sampling of a particular population. It describes a variety of potential possibilities for a statistic, such the mean or mode of some variable in a population.

When you repeat your survey or poll for all potential samples of the population, you get the sampling distribution of a proportion. For instance, you may conduct many polls rather than asking 1000 cat owners which cat food they prefer.

To know more about Sample distribution visit:

https://brainly.com/question/13501743

#SPJ4

Answer:

μ = 150

σ = 18

n = 35

μx¯ = 150

σx¯ = 3.04

Step-by-step explanation:

We are given population mean μ=150 and population standard deviation σ=18, and want to find the mean and standard error of the sampling distribution, μx¯ and σx¯ for samples of size n=36.

By the Central Limit Theorem, the means of the two distributions are the same:

μx¯=μ=150

To find the Standard Deviation of the sampling distribution, we divide the population standard deviation by the square root of the sample size:

σx¯=σn−−√=1835−−√≈3.04

hope it helps

see the attachment

Answer:

the answer is A. Remainder: 50 Not a factor

Step-by-step explanation:

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

Read more on slope of a linear function;

https://brainly.com/question/28702168

#SPJ1

Answer: the second option

Step-by-step explanation:

i took the assignment

Answer:

Step-by-step explanation:

let it passes through (-1,y1) and (2,y2)

\(slope=\frac{y2-y1}{x2-x1} =\frac{y2-y1}{2-(-1)} =\frac{y2-y1}{3} \\eq. ~of~line~is~\\y-y1=\frac{y2-y1}{3} (x+1)\\3y-3y1=xy2-xy1+y2+y1\\3y=(y2-y1)x+y2+4y1\)

Answer: an option is 2736

and we only have two possible solutions, the other is 6732

Step-by-step explanation:

we want to write a number:

a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.

Now, we know that 36 is multiple of 6, so 6*6 = 36

The multiples of 36 are always even numbers, so we can discard all the odd options for b.

We also can discard the option a = 0, because we want a 4 digit number.

now, let's do it by brute force.

if a = 1, we have:

173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.

if a = 2

273b

when b = 6, we have:

N = 2736, that is divisible by 36 as:

2736/36 = 79, so this is a multiple of 36.

now, you can keep changing the value of a and find all the different possible solutions.

if a = 3,

373b is not divisible by 36 for any value of b

if a = 4

473b  is not divisible by 36 for any value of b

if a = 5

573b  is not divisible by 36 for any value of b

if a= 6

673b  it is divisible by 36 when b = 2.

6732/36 = 187

if a = 7

773b  is not divisible by 36 for any value of b

if a = 8

873b  is not divisible by 36 for any value of b

if a = 9

973b  is not divisible by 36 for any value of b

So we only have two possible solutions

The different solutions this problem have are 2736 and 6732.

This is a part of a number which consists of numerals from 0 to 9.

a73b is the first number where a and b are one digit numbers (0 to 9) which is divisible by 36.

All multiples of 36 are always even numbers, so odd number options for b isn't considered.

If a = 2 when b = 6, we have:  it is divisible by 36 when b = 2.

N = 2736, which is divisible by 36 to give 76 hence it is a multiple of 36.

673b is divisible by 36 when b = 2.

N = 6732 which is divisible by 36 to give 187 hence it is a multiple of 36.

Hence, the two values are  2736 and 6732.

Read more about Digits here  https://brainly.com/question/13124157

Answer:

5 2/5 ÷ 3/2 = 3.6

I hope this is right

Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10

Step-by-step explanation:

Answer:

There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:

A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.

A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.

A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.

A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.

There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.

Answer:

The common difference is 6

Step-by-step explanation:

\(a = 7\)

\(t(4) = 25\)

\(d = unknown\)

\(t(n) = a + (n - 1)d\)

\(t(4) = 7 + (4 - 1)d\)

\(25 = 7 + 3d\)

\(25 - 7 = 3d\)

\(18 = 3d\)

divide both sides by 3

\( \frac{3d}{3} = \frac{18}{3} \)

\(d = 6\)

The numbers are 7,13,18,25.....

We have a diagram for chords in a circle.

Given that OE = 25, AB = 40 and CD = 30, we have to find the length of the other segments in the list.

We start with MB, which will be half the length of AB because OE is a perpendicular bisector.

Then:

For OB we can consider that it is a radius, as O is the center and B is a point on the circumference. As the radius is constant in a circle and we know that OE = 25, then OB should also be OB = 25.

Given OB = 25 ad MB = 20, we can use the Pythagorean theorem to find OM as:

Now we calculate ND. As OE is a perpendicular bisector of CD, we have:

The segment OD is a radius so it has a length like OE. Then, OD = 25.

For the segment ON we can use the Pythagorean theorem again:

The last segment is MN which length can be expressed as the difference of the lengths of ON and OM:

Answer:

MB = 20

OB = 25

OM = 15

ND = 15

OD = 25

ON = 20

MN = 5

Answer:

1.826.522

Step-by-step explanation:

16 +5 -3 + 1826572 + 4 -72 = 1.826.522

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

For more questions on average speed

https://brainly.com/question/553636

#SPJ8

Answer:

Bottle 4

Step-by-step explanation:

took the quiz :p

The perimeter of rectangle M'N'O'P' is given as follows:

54 cm.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The ratio between the areas is given as follows:

126/14 = 9.

The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:

3.

Hence the perimeter of rectangle M'N'O'P' is given as follows:

3 x 18 = 54 cm.

The complete problem is:

Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?

More can be learned about dilation at brainly.com/question/3457976

#SPJ1