if you are given the sum of the squares of three consecutive integers, what four digits can never occur in the ones place?

The total cost to cover the floor is $1,077.51

Here we know that one gallon of floor paint costs $21.99 and covers an area of 20ft by 20ft

That area is 20ft*20ft = 400ft^2

Now, for the floor of 140ft by 140ft the area is:

A = 140ft*140ft = 19,600ft^2

We need to see how many times 400ft^2 are in 19,600ft^2, so we take the quotient:

19,600ft^2/400ft^2  = 49

That is the number of gallons of paint that we will need, then the total cost is:

C = 49*$21.99 = $1,077.51

Learn more about costs:

https://brainly.com/question/19104371

#SPJ1

Answer:

the wrong answer is C, but the right answer is A

(a) The population proportion of success is given as 53%. This means that 53% of the population is expected to have a successful outcome from the flu shot.

To calculate the population proportion of success, we are given that the flu vaccine is effective for 53% of patients administered the shot. This means that 53% (or 0.53) of the entire population is expected to have a successful outcome from the flu shot.

(b) The mean of the sampling distribution of the sample proportion is also 53%.

The mean of the sampling distribution of the sample proportion can be calculated using the same population proportion of success, which is 53%. The sampling distribution represents the distribution of sample proportions if multiple samples of the same size are taken from the population. Since the mean of the sampling distribution is equal to the population proportion, the mean in this case is also 53%.

(c) The standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

To calculate the standard deviation of the sampling distribution of the sample proportion, we use the formula:

\(\sigma = \sqrt{\frac{p \cdot q}{n}}\)

where σ represents the standard deviation, p is the population proportion of success (0.53), q is the complement of p (1 - p, which is 0.47), and n is the sample size (85).

Plugging in the values, we get:

\(\sigma = \sqrt{\frac{0.53 \cdot 0.47}{85}}\)

Calculating this expression, we find:

\(\sigma \approx \sqrt{\frac{0.0251}{85}} \approx \sqrt{0.000295} \approx 0.0171\)

Rounding this value to three decimal places, the standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

Learn more about sampling distribution here:

https://brainly.com/question/31465269

#SPJ11

Answer:

Step-by-step explanation:

w^3 + 4w^2 + 5w - 12

I WILL ANSWER SO TIMMY GET CROWN

Answer:

1. B) R = (p-q)/F

2. B) No, p does not represent the pressure in the outlet; it is the pressure in the inlet.

Step-by-step explanation:

Formula for the blood flow rate

\(F=\dfrac{p-q}{R}\)

where:

To solve the formula for vascular resistance, rearrange the given equation to make R the subject.

Multiply both sides of the equation by R:

\(\implies F\cdot R=\dfrac{p-q}{R} \cdot R\)

\(\implies FR=p-q\)

Divide both sides by F:

\(\implies \dfrac{FR}{F}=\dfrac{p-q}{F}\)

\(\implies R=\dfrac{p-q}{F}\)

Therefore, the formula for vascular resistance is:

\(R=\dfrac{p-q}{F}\)

To solve the formula for the pressure in the outlet, rearrange the given equation to make q the subject.

Multiply both sides of the equation by R:

\(\implies F\cdot R=\dfrac{p-q}{R} \cdot R\)

\(\implies FR=p-q\)

Add q to both sides of the equation:

\(\implies FR+q=p-q+q\)

\(\implies FR+q=p\)

Subtract FR from both sides of the equation:

\(\implies FR+q-FR=p-FR\)

\(\implies q=p-FR\)

Therefore, Dyana is incorrect as p does not represent the pressure in the outlet; it is the pressure in the inlet.

The value of the slope of the regression line that determine the relationship between the revenue has the slope of 4.1667.

The change in y coordinate relative to the change in x coordinate is referred to as a line's slope in mathematics. The lines drawn on the coordinate plane have been observed in geometry. The easiest technique to determine this without using any geometrical tools is to measure the slope. This will allow you to anticipate whether the lines are parallel, perpendicular, or at any angle.

The two coordinates of the regression line obtained from the table are:

(9.4, 26.1) and (11.8, 36.1)

The slope of the equation is given by:

m = (y2 - y1) / (x2 - x1)

Substitute the coordinates:

m = (36.1 - 26.1)/(11.8 - 9.4)

m = 10 / 2.4

m = 4.1667

Hence, the value of the slope of the regression line that determine the relationship between the revenue has the slope of 4.1667.

Learn more about slope here:

https://brainly.com/question/19131126

#SPJ1

Answer:

number 8 is $0

number 9 is D

Answer:

number 8 is $0

number 9 is D

Hello!

Answer: C. x² - 64 - 0

Good luck! :)

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

To learn more about integer : brainly.com/question/15276410

#SPJ11

The figure red has been shifted by 5 units left and 2 units down to form the blue.

A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.

From figure ,

Coordinates of point red = (2, 3)

Coordinates of point blue = (-3, 1)

here, figure shows the translation of peak point of red to blue.

So, red(2, 3) → blue(-3, 1)

                     → blue[(2 - 5), (3 - 2)]

Hence, figure red has been shifted by 5 units left and 2 units down to form the blue.

Learn more about translation here:

https://brainly.com/question/18645271

#SPJ1

Answer:

x = 39°

y = 129°

Step-by-step explanation:

x = 90° - 51° = 39°

y = 180° - 51° = 129°

The coordinate plane, also known as the Cartesian plane, is a two-dimensional plane that is used to plot and locate points using a set of two perpendicular axes. The horizontal axis is called the x-axis and the vertical axis is called the y-axis.

The point where the two axes intersect is called the origin, which is usually denoted by the coordinates (0,0).

Each point in the plane can be located by its unique pair of coordinates (x,y), where x represents the horizontal distance from the origin and y represents the vertical distance from the origin.

To find the slope of the line passing through vertices A and B, we need to use the formula:

slope \(= (y2 - y1)/(x2 - x1)\)

Where (x1, y1) and (x2, y2) are the coordinates of the two points.

To find the slope of the line passing through vertices A(-2, 1) and B(-4, 2), we can use the slope formula:

slope = (change in y)/(change in x)  \(= (y2 - y1)/(x2 - x1)\)

Substituting the coordinates of A and B into the formula, we get:

slope  \(= (2 - 1)/(-4 - (-2)) = 1/-2 = -1/2\)

Therefore, the slope of the line passing through vertices A and B is -1/2.

Learn more about coordinate here:

https://brainly.com/question/16634867

#SPJ1

Answer:

\( \sqrt{2.2.3.3.5} \)

\(\sqrt{2.2.3.3.5}\) is equivalent to \(\sqrt{180}\). Correct option is 1. First, we look for perfect square factors within 180. We can factor 180 as follows: \(\(180 = 2^2 \times 3^2 \times 5\)\)

Next, we can group the perfect square factors together:

\(\(180 = (2 \times 3)^2 \times 5\)\)

Since we are taking the square root of 180, we can rewrite it as the square root of its perfect square factors multiplied by the remaining non-perfect square factor:\(\(\sqrt{180} = \sqrt{(2 \times 3)^2 \times 5}\)\)

The square root of a perfect square is just the value of the number itself:

\(\(\sqrt{180} = 2 \times 3 \times \sqrt{5}\)\)

Finally, we can simplify the expression by multiplying the numbers outside the square root \(\(\sqrt{180} = 6\sqrt{5}\)\)

So, the expression \(\(6\sqrt{5}\)\) is equivalent to \(\(\sqrt{180}\)\), and it represents the positive square root of 180 with any perfect square factors taken outside the square root sign.

To know more about square factors:

https://brainly.com/question/83678

#SPJ3

it is given

a II b and b II c

and c perpendicular to d

as a is parallel to b and b is parallel to c ,

so a would-be parallel to c also, but c is perpendicular to d

so, a also will be perpendicular to d.

so the answer is

a is perpendicular to d

In triangle ABC, we get that the measure of angle a is 83°.

In triangle ABC, we are given that:

angle b = 84 degrees

∠ b = 84°

angle c = 13 degrees.

∠ c = 13°

Now, we know by the angle sum property of the triangle that:

∠ a + ∠ b + ∠ c = 180°

Substituting the values, we get that:

∠ a + 84° + 13° = 180°

∠ a = 180° - 97°

Subtracting the angles, we get that:

∠ a = 83°

Therefore, in triangle ABC, we get that the measure of angle a is 83°.

Learn more about triangle here:

https://brainly.com/question/17335144

#SPJ9

Scales on a wall, change of units conversion

1 inch = 4 1/2 feets

7 1/8 inches = ?

First convert to fractions

(4 + 1/2) • ( 7 + 1/8) =

apply distributive law ( a+b)•(c+d)= ac + ad + bc + bd

then length of wall= 4•7 + 4/8 + 7/2 + 1/16

= 28 + 8/16 + 56/16 + 1/16

= 28 + 64/16 + 1/16

= 28 + 4 + 1/16

= 32 + 1/16

lenght is 32 and 1/16 feet

Answer:

see explanation

Step-by-step explanation:

if you mean

f(x) = \(\frac{6}{x-2}\) , then substituting x = 3 into f(x)

f(3) = \(\frac{6}{3-2}\) = \(\frac{6}{1}\) = 6

If you mean

f(x) = \(\frac{6}{x}\) - 2 , then substituting x = 3 into f(x)

f(3) = \(\frac{6}{3}\) - 2 = 2 - 2 = 0

Answer:

did u ever get on answer cause I'm stuck in this too

Step-by-step explanation:

The Fourier series for \(\(f(x) = x^2\)\) with a period of \(\(2\pi\)\) is an infinite sum of sine terms that accurately approximates the function within the specified interval.

The Fourier series formula for the periodic function \(\(f(x) = x^2, -\pi \leq x \leq \pi\)\) is:

\(\[f(x) = \frac{a_0}{2} + \sum_{n=1}^{\infty} (a_n \cos(n\pi x/L) + b_n \sin(n\pi x/L))\]\)

where:

\(\[a_0 = \frac{1}{L} \int_{-L}^{L} f(x) dx\]\[a_n = \frac{1}{L} \int_{-L}^{L} f(x) \cos(n\pi x/L) dx\]\[b_n = \frac{1}{L} \int_{-L}^{L} f(x) \sin(n\pi x/L) dx\]\)

For \(\(f(x) = x^2\) with \(L = \pi\)\), let's calculate the coefficients:

\(\[a_0 = \frac{1}{\pi} \int_{-\pi}^{\pi} x^2 dx\]\[a_n = \frac{1}{\pi} \int_{-\pi}^{\pi} x^2 \cos(n\pi x/\pi) dx\]\[b_n = \frac{1}{\pi} \int_{-\pi}^{\pi} x^2 \sin(n\pi x/\pi) dx\]\)

Simplifying the integrals and performing the calculations will yield the specific values for \(\(a_0\), \(a_n\), and \(b_n\)\).

For \(\(f(x) = x^2\) with \(L = \pi\)\), let's calculate the coefficients:

\(\[a_0 = \frac{1}{\pi} \int_{-\pi}^{\pi} x^2 dx\]\[a_n = \frac{1}{\pi} \int_{-\pi}^{\pi} x^2 \cos(n\pi x/\pi) dx\]\[b_n = \frac{1}{\pi} \int_{-\pi}^{\pi} x^2 \sin(n\pi x/\pi) dx\]\)

Integrating each term, we get:

\(\[a_0 = \frac{1}{\pi} \left[\frac{x^3}{3}\right]_{-\pi}^{\pi} = \frac{1}{\pi} \left(\frac{\pi^3}{3} - \frac{(-\pi)^3}{3}\right) = \frac{2\pi^2}{3}\]\[a_n = \frac{1}{\pi} \left[\frac{x^3 \sin(n\pi x/\pi)}{n\pi}\right]_{-\pi}^{\pi} = \frac{1}{\pi} \left(\frac{\pi^3 \sin(n\pi)}{n\pi} - \frac{(-\pi)^3 \sin(-n\pi)}{n\pi}\right) = 0\]\)

\(\[b_n = \frac{1}{\pi} \left[-\frac{x^3 \cos(n\pi x/\pi)}{n\pi}\right]_{-\pi}^{\pi} = \frac{1}{\pi} \left(-\frac{\pi^3 \cos(n\pi)}{n\pi} + \frac{(-\pi)^3 \cos(-n\pi)}{n\pi}\right) = \frac{2(-1)^n}{n^2}\]\[f(x) = \frac{\pi^2}{3} + \sum_{n=1}^{\infty} \left(\frac{2(-1)^n}{n^2} \sin(n\pi x/\pi)\right)\]\)

This series allows us to represent the function \(\(f(x) = x^2\)\) as an infinite sum of sine terms.

Each term in the series contributes to the overall approximation of the function. As we include more terms in the series, the approximation becomes more accurate.

The coefficients \(\(a_n\)\) for the cosine terms are all zero, indicating that the function is an odd function. The coefficients \(\(b_n\)\) for the sine terms follow a specific pattern with alternating signs. By summing these terms, we can reconstruct the original function within the specified interval.

In conclusion, the Fourier series for \(\(f(x) = x^2\)\) with a period of \(\(2\pi\)\) is an infinite sum of sine terms that accurately approximates the function within the specified interval.

For more questions on Fourier series:

https://brainly.com/question/14949932

#SPJ8

Answer: (x+5)(2x+10)

Step-by-step explanation: Hope you find it helpful, I am in the rush so can't give you a full explanation on paper yet!

Answer:

Step-by-step explanation:

that is 55/22 = 2.5 hrs

Answer: .two and a half hours.

Step-by-step explanation:

22/1 = 55/x

22x=55

X=2.5

Answer:

Percentage of cherries    = 60 %

Percentage of berries  = 40 %

Step-by-step explanation:

He orders  15 1/2 pounds every year.

He wants more=  1 1/4 pounds

So the total pounds = 15 1/2 + 1 1/4

                                 = 15 + 1 + 1/2 + 1/4

                                 = 16 + (2+1)/4

                                  =   16 + 3/4

                                  = 16 3/4 pounds

Out of 16  3/4 pounds they want 2/5 part to be of blue berries.

So blue berries = 16 3/4 * ( 2/5)

                          = 67/4 * ( 2/5)

                            = 67/10 = 6 7/10 pounds

Amount of cherries= 16  3/4- 6 7/10

                                 = 10 3/4- 7/10

                                  = 10 (15- 14)/20

                                   = 10 1/20 pounds

Percentage of cherries = Amount of cherries/ Total amount * 100

                                      = 201/20 / 67/4 *100

                                         = 201/20 * 4/67 *100

                                         = 201/335 *100

                                          = 60 %

Percentage of berries = 100- 60 = 40 %

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

For more such question on fraction

https://brainly.com/question/17220365

#SPJ8

Answer:

C

Step-by-step explanation:

Hope this is right. Let me know if not! Have a nice day :)

Answer:

C

Step-by-step explanation:

i got it right

Answer:

It is true bc i think its turne

o

o

o

o

o

o

o

o

o

o

o

o

o

oo

Step-by-step explanation:

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

Also got subscribe to my YT channel BlxeVxbes

From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

To know more about slope

https://brainly.com/question/19131126

#SPJ4

Answer:

B) 810m²

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the 3rd side of the triangle.  You get 22.5.

Two triangles

1/2x12x22.5=135

Two rectangles

9x22.5=202.5

9x25.5=229.5

One rectangle

9x12=108

135+135+202.5+229.5+108=810

The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

To know more about means visit

https://brainly.com/question/521227

#SPJ11

Answer:

50,000,000 centímetros cúbicos.

Step-by-step explanation:

En la pregunta anterior, se nos dan las dimensiones de este cubo en metros como:

Longitud = 5m

Ancho = 4 m

Altura = 2.5 m

Nos dijeron que encontraramos el volumen en centímetros cúbicos

Paso 1

Convierta todas estas dimensiones a centímetros

1m = 100cm

Por lo tanto:

Longitud = 5 m = 5 × 100 cm = 500 cm

Ancho = 4 m = 4 × 100 cm = 400 cm

Altura = 2.5 m = 2.5 × 100cm = 250cm

Paso 2

Fórmula para el volumen de un cubo = Largo × Ancho × Alto

Volumen = 500 cm × 400 cm × 250 cm

Volumen = 50,000,000 centímetros cúbicos.

Por lo tanto, el volumen, en centímetros cúbicos, de la habitación es de 50,000,000 centímetros cúbicos.