What is the general form of the equation for the given circle centered at O(0, 0)?

Answer:

[tex]3x+5 + \frac{28}{2x-4}[/tex]

Step-by-step explanation:

If the volume of the rectangular prism is represented by [tex]6x^2 - 2x + 8[/tex] and the base area is [tex]2x - 4[/tex]

Volume of a prism = base area times height

we replace the volume and the base area

[tex]6x^2-2x+8 = (2x-4) \cdot height[/tex]

Divide both sides by 2x-4

[tex]height= \frac{6x^2-2x+8}{2x-4}[/tex]

we use long division.

                                      3x+5                          

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

  [tex]2x-4[/tex]                 [tex]6x^2 - 2x + 8[/tex]

                                   [tex]6x^2 - 12x[/tex]

                               -----------------------------------------------(subtract)

                                              [tex]10x+8[/tex]  

                                              [tex]10x-20[/tex]  

                               ------------------------------------------------(subtract)

                                                            28

[tex]3x+5 + \frac{28}{2x-4}[/tex]

Answer:

84 m²

Step-by-step explanation:

If you mention "hypotenuse," I automatically assume that this is a right triangle.  We can find the length of the third side using the Pythagorean Theorem:  7² + x² = 25², or x² = 625 - 49 = 576.

Then the 3rd side (which is also the height of the triangle) is x = √576 = 24.

The base of this triangle is 7 m and the height is 24 m.

The area is thus:

A = (1/2)(base)(height) = (1/2)(7 m)(24 m) =   84 m²

Answer:

7.6m/s

Step-by-step explanation:

Find the time the Olympian swam

Speed=distance/time ⇒⇒Time=distance/speed

Distance=200m , speed= 1.8m/s   t= 200/1.8 = 111.11 seconds

Find the speed of the Olympic runner

Distance=200m  time = 21.3 sec  

s=200/21.3 = 9.4 m/s

Difference in speed= 9.4-1.8= 7.6m/s

Answer:

7.6 m/s faster

Step-by-step explanation:

Speed of swimmer = 1.8 meters per second

The distance covered by runner = 200

Time of runner = 21.3 sec

We have to find the speed of the runner first so that we can compare with the speed of swimmer.

Speed = Distance/Time

=> 200/21.3

=> 9.4 m/s

So we have to find the difference between both speeds

Difference = 9.4 - 1.8

=> 7.6 m/s

So the runner was 7.6 m/s faster..

See the attached picture:

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right]}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] +X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right]\\\\\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]+X=\left[\begin{array}{ccc}6&4\\0&5\end{array}\right] -\left[\begin{array}{ccc}8&-7\\1&-5\end{array}\right]\\\\X=\left[\begin{array}{ccc}6-8&4-(-7)\\0-1&5-(-5)\end{array}\right]\\\\X=\left[\begin{array}{ccc}-2&11\\-1&10\end{array}\right][/tex]

Answer:

it is C

Step-by-step explanation:

Answer:

11 in

Step-by-step explanation:

All we care about here is volume, not area.  So the top is irrelevant.

The volume of a rectangular tank with a square bottom, b, and height, h, is

V = b²h = 1,331 in³                       1,331 in³

Then b² = area of the base  = ---------------- = 121 in²

                                                    11 in

The square of the length of any one side of the base is 121 in².

Taking the square root of this yields 11 in.

The length of each side of the base is 11 in.

Calculate the mean, standard deviation, and a value one standard deviation below the mean for a data set.

Mean: To find the mean, add all the numbers together and divide by the total count. (62 + 37 + 48 + 67 + 44 + 58 + 47) / 7 = 49.6

Standard Deviation: Calculate the standard deviation using a formula or a calculator. For the given data, the standard deviation is approximately 9.7 rounded to the nearest tenth.

One Standard Deviation Below Mean: To find this value, subtract the mean from one standard deviation: 49.6 - 9.7 = 39.9

Yeah that's right always be a hardworking person

I=PRT/100

1. Make R (rate) subject

R/100= I/PT

2. Substitute and calculate

r/100= i/pt

r/100= 40/400 × 1

(40 is from 440-400.The interest)

r/100= 0.1

r/100×100= 0.1×100

r=10% (interest rate per year)

To confirm

I=PRT

I= 400×10/100×1

I= $40 (Interest)

Answer:

$40

Step-by-step explanation:

find Y

$400=x

$440=x+y

x+$40=x+y

$40=y

Answer:

The answer I beleive is actually A because if you divide the x value by the y-value it gives you 0.11 and no other graph gives you that exact amount dividing either y or x values

Step-by-step explanation:

Sorry for being so late lol

The answer is, electticity cost.

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Final answer:

By setting up and solving a system of linear equations, we find that walnuts cost $3.50 per pound and chocolate chips cost $1.25 per pound.

Explanation:

The question involves using a system of two linear equations to find the cost per pound of walnuts and chocolate chips. We can define w to be the cost of one pound of walnuts and c to be the cost of one pound of chocolate chips. From the information given, we can set up the following two equations:

3w + 2c = 13

8w + 4c = 33

To solve these equations, we can use either substitution or elimination. Let's use elimination:

Multiply the first equation by 2 to align the coefficients of c. This gives us: 6w + 4c = 26.

Now, subtract the newly obtained equation from the second one: (8w + 4c) - (6w + 4c) = 33 - 26, which simplifies to 2w = 7.

Divide both sides by 2 to find w: w = 7/2, so w = $3.50 per pound for walnuts.

Substitute the value of w back into the first equation: 3(3.50) + 2c = 13. Therefore, 10.50 + 2c = 13.

Subtract 10.50 from both sides to find c: 2c = 2.50.

Divide both sides by 2 to get: c = 2.50 / 2, so c = $1.25 per pound for chocolate chips.

Therefore, walnuts cost $3.50 per pound and chocolate chips cost $1.25 per pound.

Answer:

A

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 5 and (a, b) = (2, - 1), so

y - (- 1) = - 5(x - 2), that is

y + 1 = - 5(x - 2) → A

The point-slope form of a line with slope -5 that contains the point

(2,-1) is,

⇒ y + 1 = - 5 (x - 2)

Since, The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Here, Given that;

Slope = - 5

Point on line = (2, - 1)

Hence, The point-slope form of a line with slope -5 that contains the point

(2,-1) is,

⇒ y - y₁ = m (x - x₁)

⇒ y - (- 1) = - 5 (x - 2)

⇒ y + 1 = - 5x + 10

⇒ y =- 5x + 10 - 1

⇒ y = - 5x + 9

Thus, The point-slope form of a line with slope -5 that contains the point

(2,-1) is,

⇒ y + 1 = - 5 (x - 2)

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Hello there! n < -2.

Solve for n. To do this, you want to get all other terms on the other side of the equation. The only other term is 7 in this case, so subtract 7 from both sides of the equation.

n +7-7< 5​-7

n < -2

This is your final answer! I hope this helps and have a great day!

Answer:

The solution is n<-2

Step-by-step explanation:

The given inequality is:

n+7 <5​

We solve this inequality by adding -7 to both sides of the inequality:

n+7 +-7<5​+-7

We simplify to get:

n+0<5​-7

this finally gives us:

n<-2

The solution is n<-2

Answer:

3/10 fraction of a pizza is received by each person.

Step-by-step explanation:

3 pizzas are shared among 10 people. We need to find the fraction of pizza each person receive.

No of pizzas = 3

Total People sharing = 10

Each person receive pizza = No of pizzas/ Total People sharing

                                             = 3/10

3/10 fraction of a pizza is received by each person.                                            

Answer:

dang

Step-by-step explanation:

2 years ago

Answer:

C.

Step-by-step explanation:

It is linear because it have two variables (x and y) and the highest powers that they are raised to are 1

For this case we have that by definition, a linear equation is of the form:

[tex]ax + b = 0[/tex]

That is, the largest exponent of the variable is 1.

Then, according to the options given, we have that the correct option is option D, that is:

[tex]4x + 6 = 30[/tex]

Answer:

Option D

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The question is on probability

We have three students, Anna, Jo and Mai

We have 1 seat at the front

P(S)=3

P(A)=1/3

P(J)=1/3

P(M)=1/3

Answer:

2. 0.4

Step-by-step explanation:

Solve for "x" by simplifying both sides of the equation, then isolating the variable.

The solution of the equation is x = 0.4.

Given: Equation

[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]

Now, we have to solve for x.

[tex]\frac{3}{5}(x+\frac{4}{3})=1.04[/tex]

Multiplying both sides by 5, we get:

⇒ 3(x + 4/3) = 1.04 × 5

⇒ 3x + 4 = 5.2

⇒ 3x = 5.2 - 4

⇒ 3x = 1.2

Dividing both sides by 3, we get:

⇒ x = 0.4

Therefore, the solution of the given equation is x = 0.4.

Hence, option (2) is correct.

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A statistical question is one for which you don't expect to get a single answer. Instead, you expect to get a variety of different answers, and you are interested in the distribution and tendency of those answers. For example, "How tall are you?" is not a statistical question. But "How tall are the students in your school?" is a statistical question.

Answer:

x= -7y

Step-by-step explanation:

Your answer would be x= -7y. Hope this helps!!

This equation represents the given horizontal line is y = - 7. the correct option is d.

To find the equation of the line passing through the points (-10, -7) and (3, -7), we can use the point-slope form of a linear equation:

The point-slope form is given by: y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of one of the points on the line, and m is the slope of the line.

First, let's calculate the slope (m) using the two points:

m = (change in y) / (change in x)

m = (-7 - (-7)) / (3 - (-10))

m = 0 / 13

m = 0

Now, we have the slope (m = 0), and we can choose either of the given points to plug into the equation. Let's use the point (-10, -7):

y - (-7) = 0(x - (-10))

y + 7 = 0

Now, we can simplify the equation:

y = -7

So, the equation of the line passing through the points (-10, -7) and (3, -7) is y = -7. This equation represents a horizontal line at y = -7, as the slope is 0.

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The equivalent expression would be,

⇒ (x - 5) (x + 5)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 25

Now, We can simplify as;

⇒ x² - 25

⇒ x² - 5²

⇒ (x - 5) (x + 5)

Thus, The equivalent expression would be,

⇒ (x - 5) (x + 5)

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Final answer:

The expression x²- 25 is a difference of squares and can be factored into (x - 5)(x + 5), which is the product of two binomials.

Explanation:

The expression x²² – 25 can be factored into a product of two binomials because it represents a difference of squares. A difference of squares is a specific type of polynomial that takes the form a²– b², which can be factored into (a – b)(a + b). In the case of x² – 25, we can identify a as x and b as 5 since 52 equals 25.

Therefore, we can factor the expression x² – 25 into:

(x – 5)(x + 5)

This utilizes the factoring technique, which is a crucial algebraic skill for simplifying expressions and solving equations.

Answer:

Step-by-step explanation:

Red = 6

Blue = 3

Green = 5

Total = 14

First marble = 6/14  = 3/7  You now have 5 reds and 13 total

Second Marble = 5 * 13  which brings you down to 4 red and 12 total.

Third Marble = 4/12 = 1/3

Result

P(3 Red) = 3/7 * 5/13 * 1/3     cancel the 3s

P(3 Red) = 1/7 * 5/13

P(3 Red) = 5/91

P(3 Red) = 0.0549 . Rounding to the nearest 1/100 depends on what you have been told about rounding. I would say the answer is 0.05 but your teacher may say something different.

ANSWER

[tex]f(n) = 1 \times ( {3}^{n - 1} )[/tex]

EXPLANATION

The given sequence is 1, 3, 9, 27...

The first term of this sequence is

[tex]a = 1[/tex]

The common ratio is

[tex]r = \frac{3}{1} = \frac{9}{3} = \frac{27}{9} = 3[/tex]

The explicit formula for this geometric sequence is

[tex]f(n) = a ( {r}^{n - 1} )[/tex]

We substitute the first term and the common ratio to obtain,

[tex]f(n) = 1 ( {3}^{n - 1} )[/tex]

Answer:

khaled is correct. f(n)=1x3^n-1

Step-by-step explanation:

Using proportional relationships in similar triangles ABC and AED, the length of AD is calculated to be approximately 11.67.

In order to calculate the length of AD, we should first understand that given ΔABC is similar to ΔAED, and given lengths AC = 3, BC = 5, and AB = 7, the scale factor of ABC to AED is based on any of the corresponding dimensions. Here, _1 corresponds to BC(_2) in terms of proportions. Therefore _1(BC)/_1(AC) = _2(BD)/_2(AD). As we know the values of BC and AC, the equation becomes 5/3 = AD/7. Solving this for AD, we get AD = (7 * 5) / 3 = 35/3 = approx 11.67.

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[tex]\bf 2~~,~~\stackrel{2(4)+1}{9}~~,~~\stackrel{9(4)+1}{37}~~,~~\stackrel{37(4)+1}{149}~~,~~\stackrel{149(4)+1}{597}~~,~~\stackrel{597(4)+1}{2389}~~,~~\boxed{\stackrel{2389(4)+1}{9557}}[/tex]

Answer:

Adults are given =

2n oranges

2n+n=once given

so

Step-by-step explanation:

The algebraic expression for the number of oranges given to adults in a group with an equal number of adults and children, with a specified distribution of oranges and a remainder, is 2A, where A represents the number of adults (or children, since they are equal).

The question requires us to find an algebraic expression for the number of oranges given to the adults in a group where there are an equal number of adults and children, and a specific distribution of oranges to adults and children with a remainder.

Let's denote the number of adults by A, and thus, the number of children will also be A since the group has an equal number of adults and children. If n oranges are distributed, and each adult receives 2 oranges, then the total number of oranges given to adults is 2A. Each child receives one orange, so the number of oranges given to children is A. Including the 5 oranges that are left, the equation representing the total number of oranges is: 2A (for adults) + A (for children) + 5 (leftover) = n (total oranges).

From this equation, if you want to isolate the expression that represents the number of oranges given to adults, it is simply 2A.

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Upper quartile would be 4.5. The interquartile range could be 6.

Do you have a specific question or something like that which you need answering?

Answer:

car cost 19400

Step-by-step explanation:

y = 5000 + 300*m where m is the number of months.

m = 48

y = 5000 + 300*48

y = 5000 + 14400

y = 19400

The cost of the car is 19400

Answer:

14,400 because if you multiply 300 and 48 because thats what he has to pay for the car and how long he has making that same payment

Then you add 5000 for the total payment because thats the car paid in full

* Therefor, the answer is 14,400

* Hopefully this helps:) Mark me the brainliest:)!!!

With all due thinking...

I think a Diamond shape will befit your answer. So; The real answer is "Rhomboid"

The reason is that...

A rhomboid has four parallel sides. The opposite sides are equal, but the corners do not form right angles. Think of a rectangle that is slanted(a.k.a diamond) Thats what a Rhomboid is...

A parallelogram that dosent have equal sides is not a rhombus; and which dosent have Right angles are not rectangles and hence cannot be aquares either.

So in all Way a Rhomboid will mark the answer for your question.

Hope it helps..

Regards,

Leukonov/Olegion.

Answer;

TRAPEZOID

Step-by-step explanation:

Answer:

I think it's B (Sorry if im wrong)