what smallest number could be subtracted from each number so that the difference if a perfect square number of 996058​

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:22,888

Step-by-step explanation: replace x with 6 and use calculator :)

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-5)}}} \implies \cfrac{4 -7}{-2 +5}\implies \cfrac{-3}{3}\implies \text{\LARGE -1}\)

Answer:

the answer is c

Step-by-step explanation:

Answer:

The previous year's population was 12000.

Step-by-step explanation:

Let the previous year's population be P.  Then:

P + 0.04P = 1.04P = 12480.

Solving 1.04P = 12480 results in P = 12000

The previous year's population was 12000.

Step-by-step explanation:

12480*4/100

= 1248* 0.4

=499.2 is 4% of 1280

:. 1280 - 499.2

780.8 is previous year's population

Answer:

D) 72°

Step-by-step explanation:

Tangent:

\(\sf \boxed{\angle PQR =\dfrac{Difference \ between \ major \ arc \ and \ minor \ arc }{2}}\)

       ∠PQR = 2x + 252 - (2x + 108)

      2x +72 = (2x + 252 - 2x - 108) ÷ 2

      2x + 72 = (2x - 2x + 252 - 108) ÷ 2  

     2x + 72 = 144 ÷ 2

      2x + 72 = 72

2x + 72-72 = 72 - 72

              2x = 0

             \(\sf \boxed{\bf x = 0}\)

m∠PQR = 2x + 72

             = 2*0 + 72

             = 72°

"Scatterplot is a quality controle tool",which shows us the increase or decrease of the function.Obviously it called the "Scatter Diagram".

It's totaly depand upon XY corelation.

In scatterplot the two variables are very important that are :

1. Indipendent

2. Dependent

To depict the values for two different numerical variables, dots are used in a scatter plot (also known as a scatter chart or scatter graph). Values for each data point are shown by the location of each dot on the horizontal and vertical axes. The relationships between variables are visualized using scatter plots.

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Therefore, the displacement of the wheel during this interval is approximately 141.372 cm.

To find the displacement of the wheel during this interval, we need to determine the distance traveled by a point on the rim of the wheel.

Given:

Radius of the wheel: 45.0 cm

The wheel rolls without slipping

The wheel rolls through one-half of a revolution

Since the wheel rolls without slipping, the distance traveled by a point on the rim of the wheel is equal to the circumference of the wheel for each complete revolution. Therefore, the distance traveled for one-half of a revolution is equal to half the circumference of the wheel.

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.

Using the given radius of the wheel, we can calculate the circumference:

C = 2π(45.0 cm) ≈ 2π(45.0) cm ≈ 282.743 cm (rounded to three decimal places)

Since the wheel rolls through one-half of a revolution, the displacement is equal to half the circumference of the wheel:

Displacement = 0.5 × 282.743 cm ≈ 141.372 cm (rounded to three decimal places)

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The wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

We must ascertain the wheel's distance traveled and the displacement's direction.

Since the wheel has completed one-half of a revolution, the distance it has gone is equal to half its circumference. The formula: can be used to determine a circle's circumference:

Circumference = 2 * π * radius

In this case, the radius of the wheel is 45.0 cm. Let's calculate the circumference:

Circumference = 2 * π * 45.0 cm

Circumference ≈ 2 * 3.14 * 45.0 cm

Circumference ≈ 282.6 cm

So, the distance traveled by the wheel is approximately 282.6 cm.

The wheel's displacement is the angular separation between its starting point, where it first makes contact with the ground, and its finishing point, where it stops after rolling through one-half of a rotation. The point of contact with the floor does not move since the wheel is moving without slipping.

Therefore, the wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

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Answer:

true

Step-by-step explanation:

Answer: The answer is TRUE

Recall the average rate of change

Given the function H(n)

b = 4, a = 2.

Substitute the following given and we have the equation

Therefore, the average rate of change of H(n) in the interval [2.4] is -1/5.

Answer:

C. side AD

Why the other answers are wrong

A) Side AB is parallel, not perpendicular.

B) Side DC is basically Side CD, it's not perpendicular.

D) Side BD is not perpendicular because it doesn't meet Side CD at a right angle

Answer:

y=-1/3x+1

Step-by-step explanation:

it is negative because when you find the slope you go down instead of up

The value closest to the correlation for the given scatterplot would be C.) -0.75.

In a scatterplot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -0.75 indicates a strong negative correlation. Since the data points fit loosely around a line that slopes down to the right, it suggests a negative correlation. The closer the correlation coefficient is to -1, the stronger the negative correlation. Option C.) -0.75 is the value closest to -1 and represents a stronger negative correlation compared to the other options.

To determine the precise correlation coefficient, statistical calculations or software can be used. These calculations involve measuring the covariance and standard deviations of the variables. However, based on the given description, it is apparent that the data points exhibit a loose fit around a downward-sloping line, indicating a strong negative correlation.

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Answer: for the first it is not direct varition while for the second one it i s

Step-by-step explanation:

Step-by-step explanation:

is there supposed to be a pic attached?

Answer:

I think the answer is 42.

Step-by-step explanation:

If there is a 50% increase in members then the number of members would go up 14. Adding 14 to 28, you come away with 42.

Sorry if it's wrong.

Answer:

4 terms

Step-by-step explanation:

each number or each coefficient/variable combo is a term.

Answer:

y = 1/2x + 5

Step-by-step explanation:

We can use point slope form since we are given a point and the slope

y -y1 = m( x-x1)

where ( x1,y1) is a point and m is the slope

y -0 = 1/2 (x- -10)

y = 1/2( x+10)

y = 1/2x + 5

Answer:

There are no options, so i will answer in a general way.

In a function:

y = f(x)

The output is y, and the input is x, and the ordered pair is written as (x, y)

In this case, we have the function:

y = -7*x + 6

Then we need to have different inputs and then find the outputs for each.

For example, if x = 1.

y = -7*1 + 6 = -1

Then we have the ordered pair (1, - 1)

if x = 0

y = -7*0 + 6 = 6

then we have the ordered pair (0, 6)

The general ordered pair is written as:

(x, y =  -7*x + 6)

or:

(x,   -7*x + 6)

Where you only need to replace the value of x.

If a power series matches a function f(x) exactly everywhere, then the radius of convergence is infinite.

This means that the power series converges for all values of x. In other words, the power series can be used to approximate the function f(x) with arbitrary accuracy for any value of x.

This is a very powerful tool in mathematics and has many practical applications in science, engineering, and other fields.

The proof that a power series with infinite radius of convergence matches a function f(x) exactly everywhere is based on the fact that a power series is a sum of infinitely many terms, each of which is a polynomial in x.

By adding up these polynomials, we can approximate any function f(x) to an arbitrary degree of accuracy. The only limitation is that we need to know the coefficients of the power series,

which can be obtained by differentiating or integrating the function f(x) or by using other mathematical techniques. Once we have the coefficients, we can plug them into the power series formula and get an exact match for the function f(x).

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Answer:

Step-by-step explanation:

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

9

Step-by-step explanation:

7 + (4 x 1/2)

= 7 + 2

= 9

Answer:

9

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

7+(4*1/2)=2+7=9

30 % of the measurements are found below the 30th percentile. 70 % of the measurements are found above the 30th percentile.

Percentile is a comparison score between a particular score and the scores of the rest of a group.  

Percentile = percentage of people who scored below you / Total percentage of  people who gave the exam.

For example, 99 percentile means 99 percentage of people are below the person who scored 99 percentile.

Hence, 30 % of the measurements are found below the 30th percentile and 70 % of the measurements are found above the 30th percentile.

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If cosA = 342/1000 , then measure of angle A to the nearest degree is 70 degree.

Since ABC is a right angled triangle with ∠C = 90 degrees, we have:

cos A = adjacent side/hypotenuse = BC/AC

Substituting the given value of cos A, we get:

342/1000 = BC/AC

Multiplying both sides by AC, we get:

BC = (342/1000) AC

Using the Pythagorean theorem, we have:

\(AC^{2}\) = \(AB^{2}\) + \(BC^{2}\)

Substituting BC = (342/1000) AC and simplifying, we get:

\(AC^{2}\) = \(AB^{2}\) +  \((342/1000)^{2} AC^{2}\)

Solving for AB, we get:

AB = √(\(AC^{2}\)  -   \((342/1000)^{2} AC^{2}\))

Simplifying, we get:

AB = AC √(1 - \((342/1000)^{2}\) )

Now, we can use the trigonometric ratio for tangent to find the value of angle A:

tan A = opposite side/adjacent side = AB/BC

Substituting BC = (342/1000) AC and AB = AC √(1 -  \((342/1000)^{2}\) ), we get:

tan A = √(1 -  \((342/1000)^{2}\) )/(342/1000)

Taking the inverse tangent of both sides, we get:

A = \(tan^{-1}\)(√(1 -  \((342/1000)^{2}\) )/(342/1000))

Using a calculator, we get:

A ≈ 70.8 degrees

Therefore, m∠A ≈ 70 degrees (to the nearest degree).

Correct Question :

If cosA = 342/1000 * then what is m∠A to the nearest degree?

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Fluctuations in aggregate demand and​ short-run aggregate supply bring fluctuations in real GDP around potential​ GDP.

Short-Run Supply of Aggregates:

The ratio of the actual GDP supply to the price level under constant nominal wage rates, other resource prices, and potential GDP is known as the short-term total supply. A rise in the price level will enhance the supply of real GDP when the nominal wage rate and the prices of other variables remain constant. The upward sloping short-term aggregate supply curve (SAS).

The supply of real GDP will rise in the short run if the price level rises.

The SAS curve is steeply sloping. Firms can boost production when the price level rises without an increase in the pay rate.

Adjustments to Potential GDP:

The LAS and SAS curves all trend to the right as potential GDP rises.

The potential GDP will rise if the following scenarios materialize:

Full employment now entails more labour.

capital growth: Technological advancement has occurred.

Modifications to the Money Wage Rate:

Aggregate Demand decreases and drifts to the left in the short run.

The entire amount of goods and services that Canadians, businesses, governments, and foreigners want to buy is known as real GDP demand Y.

This amount is the total of net exports X-M, investment I, public spending G, and consumer spending C.

Therefore, Y=C+I+G+X-M

total demand curve The ratio of real GDP demand to price level is known as aggregate demand.

The AD curve's descending slope is caused by two factors:

Impact of Wealth:

An increase in price level will result in less actual wealth while all other factors remain constant (currency, stocks, etc.).

Real GDP is now less in demand.

Similar to how prices fall while other factors remain the same, real wealth, real GDP, and demand all increase.

Intertemporal substitution effect:

When all other factors remain constant, rising prices will cause the real worth of the dollar to decline and interest rates to rise.

People borrow less as interest rates go up, which lowers real GDP demand. Similar to this, a decline in price will raise the currency's real value and lower interest rates. People borrow more money and spend more when interest rates are lower, which boosts real GDP demand.

Aggregate demand:

When aggregate demand increases, curve AD shifts to the right.

When aggregate demand decreases, curve AD shifts to the left.

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Answer:

Right

Step-by-step explanation:

It is right because every angle with 90° degree or with these shapes are called right angled traingle.

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Answer:

To find 6 rational numbers between 9 and 10 are

9x7\1x7 10x7\1x7

63\7 70\7

so, 6 rational numbers are:

64\7,65\7,66\7,67\7,68\7and 69\7

The rational numbers that are between 9 and 10 are:

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

We have,

There are infinite numbers between 9 and 10.

Rational numbers are recurring and terminating numbers.

Numbers that are rational between 9 and 10 are:

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9

Thus,

The rational numbers between 9 and 10 are

9.1, 9.2, 9.3, 9.5, 9.7, and 9.9

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To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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