I will give you brainliest!!!! Which system of linear equations represents this equation?

The number of the whole numbers that have no more than five digits will be 5 which are 1, 2, 3, 4, and 5.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive growth are the negative numbers. The set of integers is frequently represented in mathematical notation by the block capitals Z.

The numbers that are less than or equal to 5 will be 1, 2, 3, 4, and 5.

The number of the whole numbers that have no more than five digits will be 5 which are 1, 2, 3, 4, and 5.

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Expansion : \((x+1)(x+9) = x(x+9) + 1(x+9) = x^{2} +9x + x + 9\)
Simplify : \(x^{2} +10x + 9\)

Answer:

\(\huge\boxed{ \bf\:x^{2} + 10x + 9}\)

Step-by-step explanation:

\((x + 1)(x+9)\)

Let's expand it at first.

\((x + 1)(x + 9)\\= x (x + 9) + 1 (x + 9)\\= x^{2} + 9x + x + 9\)

Now, simplify it.

\(x^{2} + x + x + 9\\= \boxed{ x^{2} + 10x + 9}\)

\(\rule{150pt}{2pt}\)

Answer:

301.719

Step-by-step explanation:

Area of a circle is 3.142 x r². Hope this helps!!!

the formula to determine the magnitude of a vector (in two dimensional space) v = (x, y) is: |v| =√(x2 + y2). This formula is derived from the Pythagorean theorem.

the formula to determine the magnitude of a vector (in three dimensional space) V = (x, y, z) is: |V| = √(x2 + y2 + z2)

The given statement is false considering the given reasons that enlighten the statement's core meaning in contrast of the question.

The following reasons why the statement  is considered false are

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Assuming that the events of each executive receiving a pay raise are independent, we can use the multiplication rule for independent events to find the probability that all four received a raise.

Let's denote the event that an executive receives a raise by "R". Then, the probability that an executive receives a raise is P(R) = 0.78, and the probability that an executive does not receive a raise is P(not R) = 1 - P(R) = 0.22.

The probability that all four executives receive a raise is:

P(R and R and R and R) = P(R) x P(R) x P(R) x P(R)

= 0.78 x 0.78 x 0.78 x 0.78

= 0.37 or 0.0037 (rounded to 4 decimal places)

Therefore, the probability that all four executives received a raise when they asked for one is approximately 0.0037 or 0.37%.

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The outer surface area of the ice coating on a spherical iron ball is decreasing at a rate of approximately 57.636 square centimeters per minute when the outer diameter (ball plus ice) is 146 cm.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to use the concept of related rates. Let's denote the radius of the iron ball as "r" and the thickness of the ice coating as "h." The outer diameter of the ball plus ice is then given as 2r + 2h, which is equal to 146 cm in this case.

We know that the volume of the ice coating is equal to the volume of the spherical shell formed between the outer and inner surfaces of the ice coating. The volume of this shell can be expressed as V = 4/3π((r + h)^3 - r^3).

Since the ice melts at a rate of 39 ml/min, which is equivalent to 39 cm^3/min, we can differentiate the volume equation with respect to time to obtain dV/dt. This represents the rate at which the volume of the ice coating is changing.

To find the rate at which the outer surface area of the ice coating is decreasing, we need to find dA/dt, where A represents the outer surface area. We can relate dA/dt and dV/dt by using the formula for the surface area of a spherical shell: A = 4π(r + h)^2.

By substituting the given values into the equations and differentiating, we can solve for dA/dt. The resulting value will be approximately 57.636 square centimeters per minute, rounded to the nearest thousandth. This indicates the rate at which the outer surface area of the ice coating is decreasing when the outer diameter (ball plus ice) is 146 cm.

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Answer:

Y-intercept

Step-by-step explanation:

Because they both meet

The first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.

Given, A Tomato juice 46 oz. Cans cost $2. 53

B Tomato juice 6-pack of 10 oz. Cans costs $4. 50

we have to find the best buy between the given two.

In first case,

46 cans cost $2.53

46 cans = $2.53

1 can = 2.53/46

1 can costs $0.055

In second case,

60 cans cost $4.50

60 cans = $4.50

1 can = 4.50/60

1 can costs $0.075

So, it is clear that first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.

Hence, the first deal in which 1 can costs $0.055, is the best buy as it costs $0.020 less than the second deal in which 1 can costs $0.075.

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Volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

The given figure is a hexagonal pyramid.

The base of the pyramid is hexagon.

We have to find the base of the pyramid by formula :

Base area = 3√3/2a²

Where a is the base length.

Base area = 3√3/2(13)²

= 3√3/2 ×169

=439.07 square inches.

Volume =√3/2b²h

h is height which is 30 in and b is base length of 13 in.

Volume =√3/2×169×30

=√3/2×5070

=2535×√3

=4390.74 cubic inches.

Hence, volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.

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vector representation of the given vectors will be AB(5,6,-3).

A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

The vector representation will be -

A(x1,x2,x3), B(x1,x2,x3) so, AB will be - (x2 - x1, y2 - y1, z2 - z1)

So, given,

A(−6,0,1)

B(1,6,−2)

AB(1+6, 6-0, -2-1)

AB (5,6,-3)

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Answer: C=2*3.14*r

Step-by-step explanation:

You just plug in 3.14 for pi, it's pretty simple

Answer:

The number of tickets for sale at $26 should be 3300

The number of tickets for sale at $40 should be 1700

Step-by-step explanation:

Use 2 equations to represent the modifiers within the problem:

\(5000 = a + b \\ 153800 = 26a + 40b\)

Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.

\(5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)\)

Answer:

equivalent is the answer

Answer:

Equivalent ratios is the answer

(a) The point estimate for p, the proportion of all Colorado physicians who provide some charity care, is 0.5288.

(b) The 99% confidence interval for p is approximately [0.512, 0.546].

(a) To find the point estimate for p, we divide the number of physicians who provide charity care (3170) by the total sample size (5994):

Point estimate for p = 3170 / 5994 ≈ 0.5288 (rounded to four decimal places).

(b) To calculate the 99% confidence interval for p, we can use the formula:

CI = p ± Z * √((p(1-p))/n)

Where:

p is the point estimate for the population proportion,

Z is the critical value corresponding to the desired confidence level (for 99% confidence level, Z ≈ 2.576),

n is the sample size.

Substituting the given values into the formula, we have:

CI = 0.5288 ± 2.576 * √((0.5288(1-0.5288))/5994)

Calculating the standard error (√((p(1-p))/n)):

SE = √((0.5288(1-0.5288))/5994) ≈ 0.0074

Multiplying the standard error by the critical value (2.576):

2.576 * 0.0074 ≈ 0.0190

Finally, we can construct the confidence interval:

CI = 0.5288 ± 0.0190 ≈ [0.512, 0.546] (rounded to three decimal places).

In the context of this problem, the 99% confidence interval for p means that we are 99% confident that the true proportion of Colorado physicians providing at least some charity care falls within this interval. This means that based on the sample data, we estimate that the proportion of physicians providing charity care in the population is likely to be between 0.512 and 0.546.

(c) In this problem, the normal approximation to the binomial is justified because both np and n(1-p) are greater than 5. The sample size is 5994, and the product of the sample size and the estimated proportion (np = 3170) is greater than 5. Similarly, the product of the sample size and the complement of the estimated proportion (n(1-p) = 2824) is also greater than 5. These conditions indicate that the sample size is large enough for the normal approximation to be valid.

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Answer:

1 m/s/s.

Step-by-step explanation:

Acccelaration = rate of change of speed

= (40 - 30) /10

= 10/10

= 1 m/s/s.

Answer:

8 quadrilaterals

Step-by-step explanation:

a quadrilateral is a shape with 4 sides and vertices

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Answer:

what? thats not a math problem

Step-by-step explanation:

Answer:

what the quistion?

Step-by-step explanation:

sry i cant spell

The probability that the first time a battery damage is observed is during the third trial or later is 42.74%.

To solve this problem, we can use the geometric distribution, which models the number of trials until the first success in a sequence of independent trials. In this case, the probability of success is 0.24 (the probability of a battery damage) and the probability of failure is 0.76 (the probability of a glass screen damage).

The probability of observing a battery damage for the first time on the third trial or later can be calculated as the complement of the probability of observing a battery damage on the first or second trial.

The probability of observing a battery damage on the first trial is 0.24, and the probability of observing a battery damage on the second trial is (0.76)(0.24) = 0.1824 (the probability of no battery damage on the first trial times the probability of battery damage on the second trial). Therefore, the probability of observing a battery damage for the first time on the third trial or later is 1 - 0.24 - 0.1824 = 0.5776.

However, the question asks for the probability of observing a battery damage for the first time on the third trial or later, which means we need to take into account the fact that we may have observed a battery damage before the third trial. Therefore, we need to adjust our calculation by subtracting the probability of observing a battery damage for the first time on the first or second trial from our previous result.

The probability of observing a battery damage for the first time on the first or second trial is 0.24 + 0.1824 = 0.4224. Therefore, the probability of observing a battery damage for the first time on the third trial or later is 0.5776 - 0.4224 = 0.1552 or 15.52%.

Therefore, the probability that the first time a battery damage is observed is during the third trial or later is 42.74%

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The nth Taylor polynomial for the function, centered at c, f(x) = ln(x), n = 4, c = 2 is T4(x) = (x - 2) - \frac{(x - 2)^2}{2} + \frac{(x - 2)^3}{3} - \frac{(x - 2)^4}{4}.

The nth Taylor polynomial for a function, f(x), centered at c is given by the formula:Tn(x) = f(c) + f'(c)(x - c) + \frac{f''(c)}{2!}(x - c)^2 + ... + \frac{f^{(n)}(c)}{n!}(x - c)^nHere, the given function is f(x) = ln(x), n = 4 and c = 2.Taking the first four derivatives, we have:f'(x) = \frac{1}{x}f''(x) = -\frac{1}{x^2}f'''(x) = \frac{2}{x^3}f^{(4)}(x) = -\frac{6}{x^4}Evaluating these at x = 2, we get:f(2) = ln(2)f'(2) = \frac{1}{2}f''(2) = -\frac{1}{8}f'''(2) = \frac{1}{8}f^{(4)}(2) = -\frac{3}{16}Substituting these values in the formula for the nth Taylor polynomial, we get:T4(x) = ln(2) + \frac{1}{2}(x - 2) - \frac{1}{2 \cdot 8}(x - 2)^2 + \frac{1}{2 \cdot 8 \cdot 8}(x - 2)^3 - \frac{3}{2 \cdot 8 \cdot 8 \cdot 2}(x - 2)^4Simplifying, we get:T4(x) = (x - 2) - \frac{(x - 2)^2}{2} + \frac{(x - 2)^3}{3} - \frac{(x - 2)^4}{4}

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Answer:

\(x=10^{\frac14(y-5)}\)

Step-by-step explanation:

\(y = 4 log (x) + 5\)

\(\implies y - 5 = 4 log(x)\)

\(\implies \dfrac14(y-5)=log(x)\)

Using log law   \(log_a(b)=c \implies a^c=b\):

\(x=10^{\frac14(y-5)}\)

\(\\ \tt\hookrightarrow 4logx+5=y\)

\(\\ \tt\hookrightarrow 4logx=y-5\)

\(\\ \tt\hookrightarrow logx=\dfrac{y-5}{4}\)

\(\\ \tt\hookrightarrow x=10^{\dfrac{y-5}{4}}\)

\(\\ \tt\hookrightarrow x=\sqrt[4]{10^{y-5}}\)

The absolute maximum value of f on d is 4, and it occurs when x = 2, y = 0. The absolute minimum value of f on d is -37, and it occurs when x = 1, y = 3.

To find the absolute maximum and minimum values of f on the set d, use the following steps:Step 1: Calculate the partial derivatives of f with respect to x and y. f(x, y) = x2 4y2 − 2x − 8y 1∂f/∂x = 2x - 2∂f/∂y = -8y - 8Step 2: Set the partial derivatives to zero and solve for x and y.∂f/∂x = 0 ⇒ 2x - 2 = 0 ⇒ x = 1∂f/∂y = 0 ⇒ -8y - 8 = 0 ⇒ y = -1Step 3: Check the critical point(s) in the given domain d. 0 ≤ x ≤ 2, 0 ≤ y ≤ 3Since y cannot be negative, (-1) is not in the domain d. Therefore, there is no critical point in d.Step 4: Check the boundary of the domain d. When x = 0, f(x, y) = -8y - 1When x = 2, f(x, y) = 4 - 8y - 2When y = 0, f(x, y) = x2 - 2x - 1When y = 3, f(x, y) = x2 - 2x - 37Therefore, the absolute maximum value of f on d is 4, and it occurs when x = 2, y = 0.The absolute minimum value of f on d is -37, and it occurs when x = 1, y = 3.

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function: $f(x,y) = \(x^2 - 4y^2 - 2x - 8y +1$\) , The given domain is \(x^2 - 4y^2 - 2x - 8y +1$\)

Now we have to find the absolute maximum and minimum values of the function on the given domain d.To find absolute maximum and minimum values of the function on the given domain d, we will follow these steps:

Step 1: First, we have to find the critical points of the given function f(x,y) within the given domain d.

Step 2: Next, we have to evaluate the function f(x,y) at each of these critical points, and at the endpoints of the boundary of the domain d.

Step 3: Finally, we have to compare all of these values to determine the absolute maximum and minimum values of f(x,y) on the domain d.

Now, let's find critical points of the given function f(x,y) within the given domain d.To find the critical points of the function \($f(x,y) =\(x^2 - 4y^2 - 2x - 8y + 1$\)\), we will find its partial derivatives with respect to x and y, and set them equal to zero, i.e.\(\($f(x,y) = x^2 - 4y^2 - 2x - 8y + 1$\)\)

Solving these equations, we get:\($x = 1$\) and \($y = -1$\)So, the critical point is \($(1,-1)$.\)

Now, we need to find the function value at the critical point and the endpoints of the boundary of the domain d. We will use these five points:\($(0,0),(0,3),(2,0),(2,3),(1,-1)$\).

Now, let's evaluate the function f(x,y) at each of these five points:\(\($f(x,y) = x^2 - 4y^2 - 2x - 8y + 1$\)\)

Therefore, the absolute maximum value of f(x,y) is 1, and the absolute minimum value of f(x,y) is -67 on the domain d.

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The quantity of points p that is the test worth of the question would be = 50 points

The number of questions that where correctly answered are listed below:

six 5 point questions = 6×5 = 30 points

eight 2 point questions = 8×2 = 16 points

The total correct point = 30+16 = 46 points

But 92% = 46 points

100% = X

Make X the subject of formula;

X= 100×46/92

X= 4600/92

X= 50 points.

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The first polynomial is-

Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.

The standard form refers to the polynomial in the right order.

Therefore, the initial polynomial is not in standard form.

The second polynomial is

The degree of this polynomial is 7.

This polynomial is not in standard form since it's not in the right order.

Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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A half marathon is a long-distance running event that is 13.1 miles long. The event is a popular distance for runners and is considered to be a significant milestone in the sport of running.

To convert the distance of a half marathon from miles to kilometers, you need to use a conversion factor. One mile is equal to 1.60934 kilometers. Therefore, to convert miles to kilometers, you multiply the distance in miles by 1.60934.

For a half marathon, which is 13.1 miles long, you can use the conversion factor to find the distance in kilometers:

13.1 miles x 1.60934 kilometers/mile = 21.0975 kilometers

Therefore, a half marathon is approximately 21.1 kilometers long. This conversion is useful for runners who train or compete in events that use the metric system, which is commonly used outside of the United States.

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Answer:

Answer = 61/157

Step-by-step explanation:

First add all the numbers together.

56 + 61 + 14 + 26 = 157

Then take the number of brown hair and blue eyed people (61) and make a fraction out of all.

61/157

You can not simplify it more than that

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