can someone help me with this?​

Answer:

a) The radius of the lake to be r=10 units.

b) [tex]14\sqrt{5}[/tex] units

Step-by-step explanation:

The lake has equation: [tex]x^2+y^2=100[/tex]

We can rewrite this as [tex]x^2+y^2=10^2[/tex]

Comparing this to  [tex]x^2+y^2=r^2[/tex]

We have the radius of the lake to be r=10 units.

b)  The bridge is represented by the function  y −x = 2

This is the same as y=x+2

We substitute this into the equation of the circle to get:

[tex]x^2+(x+2)^2=100[/tex]

[tex]x^2+x^2+4x+4-100=0[/tex]

[tex]2x^2+4x-96=0[/tex]

[tex]x^2+2x-48=0[/tex]

[tex](x+8)(x-6)=0[/tex]

[tex]x=-8,x=6[/tex]

When x=8, y=2(8)+2=18

When x=-6, y=2(-6)+2=-10

The length of the bridge is the distance between the points (8,18) and (-6,-10)

[tex]=\sqrt{(8--6)^2+(18--10)^2}[/tex]

[tex]=\sqrt{196+784}[/tex]

[tex]=\sqrt{196+784}[/tex]

[tex]=\sqrt{980}[/tex]

[tex]=14\sqrt{5}[/tex]

Answer:

B

Step-by-step explanation:

C = R/1.8 - 273

C + 273 = R/1.8

1.8 * (C + 273) = R

1.8 can also be read as the fraction 9/5.

9/5 * (C + 273) = R

Thus your answer is B. Hope I helped!

So, if you add it all up it would be...

1.8 which could also be in the fraction form of 9/5 and 9/5 would be basically C.

So, even though C has 5/9 in the front that wouldn't be the case. It would be the one in parentheses we would be focusing on. So, the answer all together would be C.

I Hope this helps! c:

Answer:

Not enough information

Step-by-step explanation:

ANSWER

[tex]m + 23[/tex]

EXPLANATION

The given expression is

[tex]m - 13 + 42 - 6[/tex]

We regroup the numerical parts to get;

[tex]m + 42 - 6 - 13[/tex]

Now let us simplify the negative numbers.

[tex]m + 42 - 19[/tex]

We now subtract 19 from 42 to get;

[tex]m + 23[/tex]

We can't simplify further

Hence the simplest form is:

[tex]m + 23[/tex]

Answer:

  Look for the same entry in both (all) tables.

Step-by-step explanation:

We assume here that the system of equations consists of two equations in two variables. If there are more equations in more variables, the general approach is the same.

A "solution" to a system of equations is a set of variable values that satisfies all equations of the system simultaneously. A table for one equation will generally list sets of variable values that satisfy that equation. When the same set of values appears in the table for each of the equations, then that set of values is the solution.

__

Example

The attachment shows tables for two equations:

Highlighted are the table entries that are the same for both equations. This is the solution to the system of equations. (x, y) = (3, 6) satisfies both equations:

582 is your answer and i already checked i hope you get it right :)

Answer: B: 582 ft2

Step-by-step explanation:  9*15= 135+36= 171 ft for the face. 171*2= 342 ft for front and back. 342+2*(15*4)=462+(6*4)=486........ and so on with all the sides.

ANSWER

No, because there is no common ratio

EXPLANATION

The given sequence is

-1, 1, 4, 8

If this sequence is geometric, then there should be a common ratio among the consecutive terms.

[tex] \frac{1}{ - 1} \ne \frac{4}{1} \ne \frac{8}{4} [/tex]

Hence the sequence

-1, 1, 4, 8

is not a geometric sequence.

Answer:

The sequence is not a geometric sequence

Step-by-step explanation:

In a geometric sequence you find the following term multiplying the current by a fixed quantity called the common ratio.

To prove if a sequence is geometric we need to check if the ratio is consistent across the sequence. To check for the ratio we use the formula:

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

were

[tex]r[/tex] is the ratio

[tex]a_n[/tex] is the current term  

[tex]a_{n-1}[/tex] is the previous term

Let's star with 1, so [tex]a_n=1[/tex] and [tex]a_{n-1}=-1[/tex]

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

[tex]r=\frac{1}{-1}[/tex]

[tex]r=-1[/tex].

Now let's check 4 and 1, so [tex]a_n=4[/tex] and [tex]a_{n-1}=1[/tex]

[tex]r=\frac{a_n}{a_{n-1}}[/tex]

[tex]r=\frac{4}{1}[/tex]

[tex]r=4[/tex]

Since the ratios between two pair of numbers are different, we can conclude that the sequence is not geometric.

Answer:

the best answer would be C

Answer:

D

Step-by-step explanation:

The order from least to greatest would be first 210%, 43/20, then 2.2222

To order the numbers, they were first converted to decimals: 210% to 2.10, 43/20 to 2.15, and 2.2 (repeating) is slightly more than 2.2. Placing these in order yields: 2.10, 2.15, 2.2 (which includes 2.2 repeating).

To order the given numbers from least to greatest, we first need to convert all of them to the same format. We have one in percentage (210%), two decimals (2.2 and 2.2 repeating), and a fraction (43/20).

Now we can easily compare these numbers:

As 2.2 (repeating) is marginally larger than 2.2 but essentially they can be considered as equal for comparison. Hence, the ordered list from least to greatest is: 2.10, 2.15, 2.2 (or 2.2 repeating).

Answer:

x = 44.9

Step-by-step explanation:

This equation shown falls in the formula for z score:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where [tex]\mu[/tex] = 62

[tex]\sigma[/tex] = 5.7

ans z = -3

So, which value corresponds to a z-score of -3???

we cross multiply and do algebra to solve for x:

[tex]-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x[/tex]

Answer: g(x)=12x^2+8

Step-by-step explanation:

original function f(x)=3x^2+2

Now to stretch function vertically and rename to g(x) we just multiply the function by 4;

g(x)=4(3x^2+2)=12x^2+8

Any questions feel free to ask. Thanks

The equation of the function f(x) after stretching is g(x) = 12x² + 8.

A function is a law that relates a dependent and an independent variable.

The function given is

F(x) =  3x²+2

For when a function is vertically stretched

F'(x) = k .F(x)

k >1

here it is given that k = 4

The equation becomes

g(x) = 4( 3x²+2 )

g(x) = 12x² + 8

Therefore , The equation of the function f(x) after stretching is g(x) = 12x² + 8.

To know more about Function

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Your answer would be A = 444.72 Or 445

ANSWER

271 pre-sale tickets were sold.

EXPLANATION

Let p represent the number of pre-sale tickets and t represent the number of tickets sold.

According to the question,a total of 800 pre-sale tickets and tickets were sold .

This implies that,

[tex]p + t = 800[/tex]

Also the number of tickets sold is 13 less than twice the number of pre-sale tickets.

This gives another equation:

[tex]t = 2p - 13[/tex]

We substitute, the second equation into the first equation to obtain:

[tex]p + 2p - 13 = 800[/tex]

This implies that;

[tex]3p = 813[/tex]

Divide both sides by 3

[tex]p = \frac{813}{3} = 271[/tex]

Hence 271 pre-sale tickets were sold.

By setting up an algebraic equation and denoting pre-sale tickets as x, we discover that 271 pre-sale tickets were sold for the football city championship game.

To solve the problem of how many pre-sale tickets were sold for the football city championship game, we can set up an algebraic equation. Let's denote the number of pre-sale tickets as x. According to the question, the number of tickets sold at the gate is thirteen less than twice the number of pre-sale tickets, which we can express as 2x - 13. We are given that the total number of tickets sold is 800.

So, we set up the equation:

x + (2x - 13) = 800

Combining like terms, we get:

3x - 13 = 800

Adding 13 to both sides:

3x = 813

Then we divide both sides by 3 to find the value of x:

x = 813 / 3

x = 271

Therefore, 271 pre-sale tickets were sold.

Answer: 8/27

(2/3)^3

2^3/3^3

= 8/27; alternative form: 0.29

For this case we must find the value of the following expression:[tex](\frac {2} {3}) ^ 3 =[/tex]

Then, rewriting the expression:

[tex]\frac {2 ^ 3} {3 ^ 3} = \frac {2 * 2 * 2} {3 * 3 * 3} = \frac {8} {27}[/tex]

Simplifying the expression in decimal form we have:

[tex]\frac {8} {27} = 0.2963[/tex]

Answer:

[tex]\frac {8} {27} = 0.2963[/tex]

Answer: [tex]x=15[/tex]

Step-by-step explanation:

You can observe in the exercise that the equation you need to solve is:

[tex]x-5=10[/tex]

You need to find the value of the variable "x" of this equation. To do this, you need to remember the Addition Property of equality, which states that:

[tex]If\ a=b\ then\ a+c=b+c[/tex]

Knowing this, to solve for the variable "x", you must add 5 to both sides of the equation. Therefore, you get this result:

[tex]x-5+5=10+5\\x=15[/tex]

  10,000

x 10,000

________

100,000,000

Answer:

100,000,000

Step-by-step explanation:

The unit rate, or the number of acres the workers can plant in one day, is calculated by dividing the total number of acres (3/5) by the number of days worked (5/6). The result is 18/25 acres per day, or approximately 0.72 acres per day.

In this example, we need to find out how many acres the workers plant in one day, also known as the unit rate.

To calculate this, we divide the total amount of acres (3/5) by the total number of days taken (5/6).

So the formula would be: (3/5) ÷ (5/6) = (3/5)*(6/5) = 18/25.

So, the unit rate in acres per day for the group of workers is 18/25 acres/day, which means they plant approximately 0.72 acres per day.

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To determine which inequality is true, compare the absolute values of the given numbers. The correct answer is B, |-8| < |-5|.

To determine which inequality is true, we need to compare the absolute values of the given numbers. Absolute value is the distance of a number from zero on the number line. In this case:

Therefore, the correct answer is B, |-8| < |-5|.

Answer:

B.$675 and $1,775

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

e2020 exam

For example a square base pyramid has a square base so you can visualise the cross sections easily. Another example is a triangular prism, you can visualise the sections

Hope this helps kind off :)

Answer:

If you have a pyramid, you know the it's made of a triangle. If you have a prism with the name beginning with square base, then you know it's going to start with a square.

Step-by-step explanation:

Answer:

D = 15

Step-by-step explanation:

|-10|+|5|=10+5=15

|-10|=10

|5|=5

Answer:

D)15

Step-by-step explanation:

| | these cancel out the negative in the ten making it a positive

so it would be 10+5

which is 15

Answer:

750 ft^3

Step-by-step explanation:

Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;

[tex]\frac{RadiusB}{RadiusA}=\frac{30}{12}=2.5[/tex]

The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;

volume scale factor = (linear scale factor)^3

                                 = 2.5^3 = 125/8

The volume of Cone B will thus be;

volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3

The answer is 1/5

Step-by-step explanation:

You have the probability of getting 1/5 correct.

For this case, we have by definition, the calculation of probabilities:

[tex]probability = \frac {number\ of \favorable\ cases} {number\ of\ possible\ cases}[/tex]

We have 5 possible answers, and we have only one favorable case, that is, only one correct option among the 5 possible answers.

So, we have:

[tex]Probability = \frac {1} {5} = 0.2[/tex]

Answer:

0.2

if this is asking what I think it is, all you do is subtract 5 by 9, divide it by 2, then add the product to five. which will get you 7.

5 + 9 = 14

14/2 = 7

The answer is 7

Answer:

68

Step-by-step explanation:

Let x be the measure of one of the angles of the triangle

Two of the angles have the same measure, so another angle is x

The third is 12 degrees more, x+12

The sum of the three angles of a triangle is 180

x+x+x+12 = 180

Combine like terms

3x+12 = 180

Subtract 12 from each side

3x+12-12 = 180-12

3x = 168

Divide by 3

3x/3 = 168/3

x = 56

x=56

x=56

x+12 = 56+12 = 68

The largest angle is 68

The equality that is graphed on the line is 2(m-3)+7>11 (A).

The correct inequality graphed on the number line is option C: [tex]\(2(m-3)-7 \leq 11\)[/tex].

To determine the correct inequality graphed on the number line, let's analyze the highlighted region (5 to 10) and compare it with the given options.

The highlighted region indicates values greater than 5. Now, testing each option:

A. [tex]\(2(m-3)+7 \geq 11\)[/tex]:

[tex]\[2(m-3)+7 \geq 11\][/tex]

[tex]\[2m - 6 + 7 \geq 11\][/tex]

[tex]\[2m + 1 \geq 11\][/tex]

[tex]\[2m \geq 10\][/tex]

[tex]\[m \geq 5\][/tex]

B. [tex]\(2(m+3)+7 \geq 11\)[/tex]:

[tex]\[2(m+3)+7 \geq 11\][/tex]

[tex]\[2m + 6 + 7 \geq 11\][/tex]

[tex]\[2m + 13 \geq 11\][/tex]

[tex]\[2m \geq -2\][/tex]

[tex]\[m \geq -1\][/tex]

C. [tex]\(2(m-3)-7 \leq 11\)[/tex]:

[tex]\[2(m-3)-7 \leq 11\][/tex]

[tex]\[2m - 6 - 7 \leq 11\][/tex]

[tex]\[2m - 13 \leq 11\][/tex]

[tex]\[2m \leq 24\][/tex]

[tex]\[m \leq 12\][/tex]

D. [tex]\(2(m+3)-7 \leq 11\)[/tex]:

[tex]\[2(m+3)-7 \leq 11\][/tex]

[tex]\[2m + 6 - 7 \leq 11\][/tex]

[tex]\[2m - 1 \leq 11\][/tex]

[tex]\[2m \leq 12\][/tex]

[tex]\[m \leq 6\][/tex]

Therefore, the correct inequality graphed on the number line is option C: [tex]\(2(m-3)-7 \leq 11\)[/tex].

Answer:

[tex]\boxed{4}[/tex]

Step-by-step explanation:

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.

Thus,  the y-coordinate becomes [tex]\boxed{\textbf{4}}[/tex].

[tex]f(x) = |x-4|+3 \\ \\ \text{We have no existential conditions: }\\ \Rightarrow D = \mathbb{R}\\ \\ |x-4|\geq 0~~\big|+3 \Rightarrow |x-4|+3 \geq 3 \Rightarrow f(x) \geq 3 \\ \\ \Rightarrow \text{The range of the function is }[3,+\infty)[/tex]

ANSWER

Domain:

All real numbers

Range:

[tex]y \geqslant 3[/tex]

EXPLANATION

The given function is

[tex]f(x) = |x - 4| + 3[/tex]

This is the function obtained by the shifting the base absolute value function to the right by 4 units and up by 3 units.

The vertex of this function is at:

(4,3)

The domain is all real numbers because there is no x-value that will make the function undefined.

The least y-value on this graph is 3.

The graph opens up forever.

The range is [3,∞) or y≥3

Answer:

A rectangular prism and a cube.

Step-by-step explanation:

A rectangular prism when sliced by a plane can have a square facing up, meaning that a square will be produced. A cube has all square faces and when cut horizontally will produce a square.

45 - 18 = 27

About 27 mintues

Given that you and the chess teacher have been playing the game for 18 minutes and you need to win the game in less than 45 minutes, you need to subtract the time you have already spent playing from the total time allowed. So, 45 minutes (total time) - 18 minutes (time spent) = 27 minutes. You have 27 minutes left to win the chess game and enter the chess club.

The question is asking how much time you have left to win the chess game in order to make it into the chess club, given that you and the chess teacher have been playing the game for 18 minutes, and you need to win the game in less than 45 minutes. This translates to a mathematical problem of subtraction.

To find out how much time you have left, subtract the time you have already spent playing from the total time allowed. This would be 45 minutes (total time) - 18 minutes (time spent).

So, 45 minutes - 18 minutes = 27 minutes

.

You have 27 minutes to win the chess game and enter the chess club.

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