PLEASE HURRY I HAVE A TIME LIMIT !!!!
Question- What is the center of x^2 + y^2 + 2x + 8y = 8? Show all work.

The  machine drilled at a constant rate, so the depth after 15 hours is

-45 feet.

When comparing two different kinds of numbers with distinct units, a rate is a ratio that is employed. The unit rate, on the other hand, shows how many units of one quantity are equal to one unit of another. When the rate's denominator is 1, we refer to the rate as a unit rate.

Given A machine that drills holes,

drilled in 24 hours = -72 feet

the machine drilled at a constant rate,

so drilled in 1 hour = -72/24 = -3 feet per hour

depth in 15 hours = -3 x 15

depth in 15 hours = -45 feet

Hence the depth after 15 hours is -45 feet.

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These three angles cannot form a triangle.

The sum of angles of a triangle is always 180°, as per the triangle angle sum theorem. This means that any three angles whose sum is greater than 180° cannot form a triangle. In the given options, option b. 70°, 83°, 27° has a sum of 180°, so it can form a triangle. Option a. 67°, 51°, 62° has a sum of 180, so it can form a triangle. Option c. 90°, 70°, 20° has a sum of 180°, so it can form a triangle. Option d. 40°, 132°, 18° has a sum of 190°, so it cannot form a triangle. To calculate the sum of angles, we can use the formula: angle1 + angle2 + angle3 = 180°. Thus, in option d. 40°, 132°, 18°, 40° + 132° + 18° = 190° which is greater than 180° and thus, these three angles cannot form a triangle.

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Therefore , the solution of the given problem of ordered pair comes out to be (0, 10) , (1,10.5) and (2,11).

Two independent variables that are put in a manner that implies a particular order are known as "ordered pairs." Inside an order pair, the primary and second components, respectively, stand in for the x and y coordinates. The ordered pair is shown using close parentheses in the sample that follows.

Here,

The solution is to insert an x and observe what ever the y is. triple-check that.

So, for instance, I may enter x = 0. Check at what the y represents.

Let me just get y on its own first, though.

=> y=1/2x+10

=> 2y = x + 20

=> y = (x+20)/2

let's substitute x = 0 now.

=> y = (0 + 20)/2 = 10

Consequently, we have a single pair that was ordered: (0, 10)

order pair for x = 1

=>  y = (1+ 20)/2 = 10.5

=> (1,10.5)

Ordered pair for x = 2 and

=>y = (2+20) /2 = 11

=> (2,11)

Therefore , the solution of the given problem of ordered pairs comes out to be (0, 10) , (1,10.5) and (2,11).

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Answer: -62.7

Step-by-step explanation:

7/10 = 0.7

-62 7/10 = -62.7

Answer:62.7

Step-by-step explanation:

A polynomial may have some values of the variable for which it will have a zero value. These numbers are referred to as a polynomial's zeros. They are also sometimes referred to as polynomial roots. In order to obtain the solutions to the given problem, we often determine the zeros of quadratic equations.

A polynomial in x has the usual form anxn + an-1xn-1 +..... + a1x + a0, where an, an-1,....., a1, a0, and a 0 are constants, and n is a whole number. Algebraic formulas like x + x + 5, x2 + 1/x2, for instance, are not polynomials since none of the exponents of x in these expressions are whole numbers.

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Answer: 15

Step-by-step explanation: since seven couldnt come theres 3

5x3=15

Answer: X = 15.

Step-by-step explanation: if 12x = 180, simply divide both sides by 12. Doing this will leave just X on one side, and it’s answer, 15, on the other.

The level of scale of measurements is the ratio scale for the data of the average weight of newborn babies in ounces.

There are four scales of measurement: Nominal, Ordinal, Interval, and Ratio.

Nominal scale: In this scale, categories are nominated names (hence “nominal”). There is no inherent order between categories. Put simply, one cannot say that a particular category is superior/ better than another.

Ordinal scale:  The various categories can be logically arranged in a meaningful order. However, the difference between the categories is not “meaningful”.

Interval scale:  The values (not categories) can be ordered and have a meaningful difference, but doubling is not meaningful. This is because of the absence of an “absolute zero”.

Ratio scale:  The values can be ordered to have a meaningful difference, and doubling is also meaningful. There is an “absolute zero”.

Therefore, the level of scale of measurements is the ratio scale for the data of average weight of newborn babies in ounces.

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If earth days merely 2 hours long, which means the rotation period of the earth is 2 hours, your weight will become 1/144 of your actual weight.

The weight or gravitational force on a mass can also be considered as centripetal force.

The formula for the centripetal force is:

F = m v²/R

In this case,

m = your mass

v = tangential velocity or earth's rotation speed

R = earth's radius

Recall that speed = distance / time. In the problem, the distance is the circumference of the earth and the travelled time is the rotation period.

v = C/t

t₁ = 24 hours

t₂ = 2 hours

Since the units are the same, we do not need to convert the unit when comparing them.

Notice that the centripetal force is directly proportional to the square of rotation speed.

F ∝ v²

Hence,

F₁ : F₂ = v₁² : v₂²

But v is inversely proportional to rotation period. Hence,

F₁ : F₂ = t₂² :  t₁²

F₁ / F₂ = (t₂ /t₁)²

F₁ / F₂ = (2 /24)²

F₁ / F₂ = (1 /12)²

F₁ / F₂ = 1/144

Hence, your weight will be 1/144 of your actual weight.

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Prime factorization of 96 is  = 2 × 2 × 2 × 2 × 2 × 3.

The prime factorization procedure is used to determine the prime factors of a given number, such as a composite number.

The only elements of these factors are the prime numbers.

A prime number is one that only has the number itself and factor 1 in it. For instance, the prime number 2 has two components, which are 2 and 1.

These are the steps in this procedure:

Starting with the number you wish to factor, in this case 96, is step one.

2. Subtract the quantity from the smallest prime number, which is 2.

Step 3: Divide the result by 2 once more if the answer is a whole number.

Step 4: Repeat this procedure up until the point when the result is not a whole number.

Step 5: Go to 3 and repeat the process once you get to a number that is not divisible by 2.

Step 6: Continue with the following prime number and repeat the process until you reach a number that is not divisible by 3.

Step 7: Keep doing this up until you reach 1.

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Answer:0.02 then 34/100 then 0.63 then 7/10

Step-by-step explanation:no explanaitin cause i cant be bothered

The natural frequency of a string increases by tightening the string. The correct option is B.

The frequency at which a system is prone to oscillate when there is no external force acting on it. The normal mode is the oscillation pattern of a system operating at its fundamental frequency.

The sound frequency of musical instruments can be controlled by changing the settings of the strings.  When the string of an instrument is stretched between two points, the tightened strings produce tension. Here, tension refers to how tightly the string is being stretched.

The tightening of the string provides higher frequency. The higher frequency vibrations are carried to the ear which considers high frequency as a high pitch.

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The random variables which is geometric is the number of digits I will read beginning at a randomly selected starting point in a table of random digits until I find a 7.

The probability of success is same in every trial whichever is being conducted at that time.

When modelling a set of trials with one of two possible outcomes—success or failure—the geometric random variable is utilized. The geometric random variable reveals how many experiments were conducted before a success.

In mathematical modelling, statistical modelling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.

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The real size (actual height) of the model is equal to 16.5 feet.

Scales are an useful resource to represents systems in models at affordable size, scales (r) can be found by means of following ratio:

r = d' / d

Where:

If we know that r = 1 / 1.5 in / ft, d' = 11 in, then the real size of the model is:

1 / 1.5 = 11 / d

d = 16.5

The model has a real size (actual height) of 16.5 feet.

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The inequality that could be used to determine the range of body temperature is; |t − 100| ≤ 1.2

An absolute value inequality is defined as an expression with absolute functions including inequality signs. For example, the expression |x + 2| ≥ 1 is an absolute value inequality containing a greater than or equal to symbol.

Now, we are told that The normal body temperature for an adult horse is 100° F, but it can vary by as much as 1.2°.

Now, since it varies by as much as 1.2 degrees, it means the maximum varied temperature is  1.2°. Thus, we can say that the absolute value inequality is; |t − 100| ≤ 1.2

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The perimeter of the larger lot is 155 yards.

If the ratio of similarity of the two house lots is 3:1.8, and the smaller lot has a perimeter of 93 yards, we can set up the following proportion to find the perimeter of the larger lot:

perimeter of larger lot : perimeter of smaller lot = 3:1.8

To find the perimeter of the larger lot, we can cross-multiply and solve for the unknown:

perimeter of larger lot = perimeter of smaller lot (3) / 1.8

We know that the perimeter of the smaller lot is 93 yards, so we can substitute that in:

perimeter of larger lot = 93 yards (3) / 1.8

perimeter of larger lot = 155 yards

Therefore, the perimeter of the larger lot is 155 yards.

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We can start by using algebra to represent the given information. Let x be the amount of check 1207.

What does a math equation mean?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

The beginning balance: 1,235.46

The deposit: + 83.49

Check 1206: - 36.86

Check 1207: - x

Check 1208: - 254.34

Ending balance: 842.98

We can then set up an equation to represent the balance after all the transactions are made:

1,235.46 + 83.49 - 36.86 - x - 254.34 = 842.98

Simplifying the equation:

1,235.46 + 83.49 - 36.86 - x - 254.34 = 842.98

1,235.46 + 46.63 - x = 1,087.32

x = 1,235.46 + 46.63 - 1,087.32

x = 194.77

So the amount of check 1207 is $194.77

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:5.142 square units

Step-by-step explanation:

The required value of k root of the quadratic equation is 2.

Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfil the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.

kx(x−2√5)x+10=0

kx² −2√5 kx+10=0

Compare the preceding equation to the quadratic equation's general form, which is

ax² + bx + c=0.

a=k,b=−2√5 k,c=10

Locate a discriminator

D=b² −4ac

=(−2 k)² −4×k×10 = 20k −40 k

Put D=0 because the roots are genuine and equal (given).

20k² −40k=0

k²−2k=0

k(k−2)=0

Otherwise, k=0 or k−2=0

hence, k=0 or k=2.

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Complete question:

For what values of k are the roots of the quadratic equation kx(x−2

5)+10=0 real and equal?

Answer:

1. 1080x^2y^3

2. 114688x^6y^2

Step-by-step explanation:

1. binomial expansion : 32x^5+240x^4y+720x^3y^2+1080x^2y^3+810xy^4+243y^5

fourth term is 1080x^2y^3

2. binomial expansion:

65536x^8+131072x^7y+114688x^6y^2+57344x^5y^3+17920x^4y^4+3584x^3y^5+448x^2y^6+32xy^7+y^8

third term is 114688x^6y^2

The equation of the graph in blue mark is

Transformation is a term used in mathematics to refer to the movements made by objects such as graphs.

Translation refers to a type of transformation that involve a linear movement.

Movements as seen in translation includes

The up and down movements are on the vertical direction controlled by the y coordinate. While the left and right movements are on the horizontal direction controlled by the x coordinate.

The translation in the graph is a movement 4 units to the right and this is represented as equation to be g(x) = (x - 4)²

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The parts in the proof is completed as follows

Slope of line DE = (c - c) / (a + b - b) = 0 / a = 0

Slope of line BC = (0 - 0) / (2a - 0) = 0 / 2a = 0

Therefore because slope of line DE =  slope of line BC, DE || BC

The term parallel lines refers to lines in a plane that never cross each other, even when we stretch them.

The parallel lines are never in contact, hence their distance is always the same.

The slope of parallel lines are always equal.

In the proof the slope of the line DE and line BC is calculated as the values of zero was gotten

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the known values into the equation to determine the exact function of the graph

the known values into the equation to determine the exact function of the graph

1. Identify the type of graph you are dealing with. Is it a linear graph, an exponential graph, or a logarithmic graph?

2. Graph the data points on a coordinate plane.

3. Determine the equation of the best-fit line for the graph.

4. Determine the slope of the best-fit line.

5. Calculate the logarithmic function with the equation y = log(x) + b, where b is the y-intercept of the best-fit line.

6. Substitute the known values into the equation to determine the exact function of the graph

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Algebraic equations with equivalent solutions or roots are called equivalent equations.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7. An equivalent equation is one that is created by adding or subtracting the same quantity or expression from both sides of a given equation.

Here,

Equations in algebra are referred to as equivalent if they have the same answers or roots. The same quantity or expression must be added to or subtracted from both sides of an equation to produce an equivalent equation.

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The end behavior of the function c(x) = 3.75 + 2x tells us that as the distance of the trip increases or decreases, the cost of the ride increases or decreases at a constant rate of 2 dollars per mile.

The function c(x) = 3.75 + 2x represents the cost, in dollars, of a ride on Ryde as a function of the distance of the trip, in miles. The end behavior of a function refers to the behavior of the function as the input (in this case, the distance of the trip) approaches positive or negative infinity.

In this case, the end behavior of the function tells us about how the cost of the ride changes as the distance of the trip increases or decreases.

The function c(x) = 3.75 + 2x is linear with a positive slope of 2. This means that as the distance of the trip increases, the cost of the ride also increases at a constant rate of 2 dollars per mile. As x approaches positive infinity, the cost of the ride goes to positive infinity as well.

Similarly, as the distance of the trip decreases, the cost of the ride decreases at a constant rate of 2 dollars per mile. As x approaches negative infinity, the cost of the ride goes to negative infinity as well.

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Dora's travel need to average for 50 miles per hour for her travel time to increase by 6 minutes.

Dora is traveling to visit diego at an average speed 60 of mi/h.

∴ Distance = Speed x Time

d = 60 x t   (i)

If dora travels with an average speed of 75 mi/h then, her travel time reduce by 6 mins the,

d = 75 x (t-6)   (ii)

By solving equations we get,

60 x t = 75 x (t-6)

60t = 75t - 450

15t = 450

t = 30.

In order to increase the travel time by 6 minutes ,

d = s x (t + 6)

60t = s (t + 6)

60x30 = s (36)

s = 50 mi/hr.

So Dora will travel at 50 mi/h for her to increase the time of her journey by 6 minutes.

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The value of t is -9. The equation of the curve is y = x² + 8x -9.

What is a curve?

An abstract term used in mathematics to describe the path of a continuously moving point (see continuity). An equation is typically used to generate such a path. The term can also refer to a straight line or a series of linked line segments.

The given curve cuts y-axis at -9 and  x-axis at 1 and ‘t’ where t < 0.

The equation of a quadratic curve is y = (x-a)(x-b) where a, b are x-intercepts.

Putting a = 1 and b = t in y = (x-a)(x-b):

y = (x-1)(x-t)

Since the y-intercept of the curve is -9. The curve passes through the point (0,-9).

Putting x = 0, y=-9:

-9 = (0-1)(0-t)

-9 = t

Now putting t = -9, in y = (x-1)(x-t):

y = (x-1)(x-(-9))

y = (x-1)(x+9)

y = x² - x+ 9x - 9

y = x² + 8x -9

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The volume of a sphere with a radius of 16cm is approximately 17157.28 cm^3

The volume of a sphere can be calculated using the formula

V = 4/3 * π * r^3, where V is the volume, π is approximately 3.14, and r is the radius of the sphere. In this case, the radius of the balls used by the stock person is 16cm. Therefore, we can substitute this value into the formula to find the volume of each ball.

V = 4/3 * π * r^3

V = 4/3 * 3.14 * (16cm)^3

V = 17157.28cm^3

So, the volume of each ball is approximately 17157.28cm^3.

It is important to keep in mind that the volume of a sphere is dependent on the radius of the sphere, so if the radius of the balls were different, the volume would also be different.

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