1,44,932 divide by 12

Considering the plow removed snow at a constant volume per minute, The snow began to fall 3/5 of an hour, or 36 minutes, before noon.

Let's assume that the snow began to fall at time "t" in hours before noon.

From noon to 1 pm, the plow cleared snow for 1 hour, or 60 minutes, and covered a distance of 2 miles.

From 1 pm to 2 pm, the plow cleared snow for another hour, or 60 minutes, and covered a distance of 3 - 2 = 1 mile.

Since the plow removed snow at a constant volume per minute, the amount of snow cleared in the first hour is equal to the amount cleared in the second hour.

Therefore, the ratio of the distance traveled to the amount of snow cleared is constant, and we can write:

Solving for "t", we get:

So the snow began to fall 3/5 of an hour, or 36 minutes, before noon.

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9514 1404 393

Answer:

Step-by-step explanation:

We cannot tell what kind of proportionality to assume here.

If x and y are directly proportional, multiplying one by a factor will multiply the other by the same factor.

If x and y are inversely proportional, multiplying one by a factor will divide the other by the same factor.

__

1. Given (x, y) = (2, 24). Direct: y = 9/2(24) = 108.

  Inverse: y = 2/9(24) = 16/3

__

2. Given (x, y) = (25, 18). Direct: y = 30/25(18) = 108/5.

  Inverse: y = 25/30(18) = 15.

__

3. Given (x, y) = (1, 10). Direct: y = 20/1(10) = 200.

  Inverse: y = 1/20(10) = 1/2.

__

4. Given (x, y) = (21, 10). Direct: x = 35/10(21) = 147/2.

  Inverse: x = 10/35(21) = 6.

The proportion of mortgage payments between $700 and $3100 is 99.7%

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

The z score is used for a normal distribution to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given that mean = $1900, standard deviation = $400. Hence:

For 700:

z = (700 - 1900)/400 = -3

For 3100:

z = (3100 - 1900) / 400 = 3

P(700 < x < 3100) = P(3 < z < 3) = P(z < 3) - P(z < -3) = 0.9987 - 0.0134 = 0.997 = 99.7%

99.7% of the mortgage payments are between $700 and $3100

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By answering the presented question, we may conclude that As a result, the variation constant is the quotient of the variable A, the ratio of r, and the square root of t.

\(A= (r/\sqrt{t} )\)

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases.

An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

With the above relationship, the variation model with k as the constant of variation may be expressed as:

A=\(K*(R/\sqrt{t} )\)

where k denotes the variation constant and A is the variable that is directly proportional to r and inversely proportional to the square root of t. The proportional variable is r, and the inverse proportional variable is t.

We can solve for k by rearranging the equation:

\(A= (r/\sqrt{t} )\)

As a result, the variation constant is the quotient of the variable A, the ratio of r, and the square root of t.

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Answer:

B Description is in the picture

Answer:

\(2^2*3^2\)

Step-by-step explanation:

By definition of a negative exponent: \((\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}\)

In the last step I simply distributed the exponent, but this actually goes both ways! So we can do: \(\frac{b^x}{a^x}\implies(\frac{b}{a})^x\)

The next thing you need to know is that: \((ab)^x=a^x*b^x\)

and like the previous statement, it works both ways! So this means: \(a^x*b^x\implies (ab)^x\)

So the denominator of the expression given can be expressed as:

\((2^{-2}*3^{-2})\implies (2*3)^{-2}\)

Lastly you need to understand: \(1^x\) just simplifies to one, because \(1*1*1*1...\text{ x amount of times}\) will stay equal to one. So we can thing of 1 as being raised to some number, even if not explicitly stated.

This helps because we can write one as: \(1^{-2}\)

so now we have the expression:
\(\frac{1^{-2}}{(3*2)^{-2}}\)

Well this can because now we can "factor" out this exponent just like how it was demonstrated in the beginning

We get the expression: \((\frac{1}{3*2})^{-2}\)

Now we use the definition of a negative exponent, to get the reciprocal giving us the expression

\((\frac{3*2}{1})^{2}\)

We can now "distribute" this exponent across the division to get

\(\frac{(3*2)^2}{1^2}\)

Well 1 squared just simplifies to 1, so it's redundant to write.

This gives us the expression:
\((3*2)^2\)

and as stated before we can distribute this across multiplication, and another way to think of it is:

\((3*2)^2\implies (3^2*2^2)\\\\\\text{because } (3*2)^2\implies (3*2)*(3*2)\implies(3*3)*(2*2)\)

we're just grouping the like terms, so we can write them as an exponent.

So this gives us our final expression:
\(3^2*2^2\)

or

\(2^2*3^2\)

which is the option B, since the order in which we multiply does not matter.

Answer:

x=3

so we substitute 3 in the equation

f(3)= (3)2+(3)3+5

f(3)=6+9+5

f(3)=20

Answer: \(f(3)=\Large\boxed{23}\)

Step-by-step explanation:

Given function expression

\(f(x)=x^2+3x+5\)

Requirements of the question

\(\text{Find the value of }f(3)\)

Substitute values into the expression

\(f(3)=(3)^2+3(3)+5\)

Simplify the exponent

\(f(3)=9+3(3)+5\)

Simplify by multiplication

\(f(3)=9+9+5\)

Simplify by addition

\(f(3)=18+5\)

\(f(3)=\Large\boxed{23}\)

Hope this helps!! :)

Please let me know if you have any questions

The value of x for the given triangle is x = 7.4.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that the angle is 33 and the adjacent side is x and the hypotenuse is 8.8.

The measure of value x will be calculated below,

\(\cos(33)^\circ=\dfrac{\text{Adjacent}}{\text{Hypotenuse}}\)

\(\cos(33)^\circ=\dfrac{\text{x}}{8.8}\)

Multiply the value by 8.8 by cos(33) and solve for x,

\(\text{x}=\cos(33)^\circ\times8.8\)

\(\text{x}=7.380\)

\(\bold{x=7.4}\)

Therefore, the value of x will be 7.4.

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Answer: CAELYNN YOU WWELCOME

Step-by-step explanation:

7 +7+7+7+7+7

The standard error of the mean for a simple random sample of 100 observations, with a sample mean of 80 and a standard deviation of 12, is 1.20 (option a).

The standard error of the mean measures the precision or variability of the sample mean estimate. It is calculated by dividing the standard deviation of the population by the square root of the sample size.

Given that the sample mean is 80 and the standard deviation is 12, we can calculate the standard error of the mean as follows:

Standard Error of the Mean = Standard Deviation / Square Root of Sample Size

Standard Error of the Mean = 12 / √100 = 12 / 10 = 1.20

Therefore, the standard error of the mean for this sample is 1.20. This value indicates the average amount of variability or uncertainty we can expect in the sample mean compared to the population mean. It represents the precision of the sample mean estimate and is an important measure in inferential statistics for making inferences about the population based on the sample.

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The recursive rule defining the height of the seedling n days after it is planted is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The height increases by 4% each day, hence it is 104% of the previous day, thus the common ratio is given as follows:

q = 1.04.

Then the recursive rule defining the height of the seedling n days after it is planted is given as follows:

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Answer:

Step-by-step explanation:

It's going to be a mixed number.

Givens

L = 4 units

w*h = 2 1/8 units^2

V=L* (w*h)

V = 4 * (2 1/8)

V = 8 1/2

Where did the 1/2 come from?

You could write 2 1/8 as 2 + 1/8 and use the distributive property.

4(2 + 1/8)

4*2 + 4 * 1/8

8 + 4/8

4/8 = 1/2

8 1/2

The combination of meters (m) and seconds (s) is used to measure speed or distance.

Here are the completed statements using the appropriate metric units: My friend is 2 METERS tall. My water bottle has a volume of 1.5 LITERS. My thumb is 2 CENTIMETERS wide. I bought 3 KILOGRAMS of apples at the store. A penny weighs about 3 GRAMS. I can run 60 METERS in 10 seconds. Explanation: Meters (m) is the metric unit used to measure length or height. Liters (L) is the metric unit used to measure volume or capacity. Centimeters (cm) is the metric unit used to measure small distances or widths.

Kilograms (kg) is the metric unit used to measure mass or weight. Grams (g) is a smaller metric unit used to measure mass or weight. The combination of meters (m) and seconds (s) is used to measure speed or distance. These metric units provide standardized measurements that are widely used across the world, making it easier to communicate and compare quantities.

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Answer:

The answer to your problem is, - 1.67

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into the expression

f(7) = \(\frac{3}{7+2} - \sqrt{7-3}\)

\(= \frac{3}{9} - \sqrt{4}\)

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

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

= - \(\frac{5}{3}\)

Which is around - 1.67

Thus the answer to your problem is, - 1.67

Answer: 10/663 or 1.51% chance

Step-by-step explanation: drawing a 4 is a 1/52 chance, and then drawing a non face card is 40/51 chance. you have to multiply those together to get 40/2652 or 10/663 chance. 10/663 is a 1.51% chance

Answer:

Should be 3.9

Step-by-step explanation:

prove me wrong

Please find attached herewith the solution of your question.

Hope it helps

Answer:

254.34 square feet

Step-by-step explanation:

Area of a circle: πr²

Given:

Substitute the given values into the formula:

A = (3.14)(9)²

A = (3.14)(81)

A = 254.34 ft²

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The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

36 inches

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

a yard is 3 feet long

there are 12 inches in a foot

so there are 12x3 inches on a foot.

12x3=36 inches

Answer:

Step-by-step explanation:

1) A dot represents a point.

2) A line segment has two end points

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

C

You just gotta read the graph. Chocalate is 10, Hard Candy is 13 and Chewy is 9

Answer:

it is actually b beacuse hard candy on the graph is 12.5 not 13!

Step-by-step explanation:

The coordinates of point R as an integer or decimal to the nearest 0. 5 is (-1, 4.5)

The coordinates indicate the position of a point in the 2D coordinate plane relative to the origin The x-coordinate of a point is its perpendicular distance from the y-axis measured along the x-axis. The y-coordinate of a point is its perpendicular distance from the x-axis measured along the y-axis.

First the The coordinates of R

coordinates of the x-axis position of R from the x-axis is -1

The coordinate of the y-axis position from the y-axis is 4.5

Coordinates of the point R can be written as (x, y)

x = -1 , y = -4.5

Coordinates of point R = ( -1, 4.5 )

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The question is incomplete the complete question is :

What are the coordinates of point R?

Write your answer as an integer or decimal to the nearest 0. 5

To find the length of the tangent from a given point to a circle, we need to calculate the distance between the point and the center of the circle, and then subtract the radius of the circle.

The given equation of the circle is:

\(\sf\: x^2 + y^2 - 3x + 2y - 10 = 0 \\\)

To determine the center of the circle, we need to rewrite the equation in the standard form, which is:

\(\sf\: (x - h)^2 + (y - k)^2 = r^2 \\\)

Let's complete the square for the given equation:

\(\sf\: (x^2 - 3x) + (y^2 + 2y) = 10 \\\)

\(\sf\: (x^2 - 3x + \frac{9}{4}) + (y^2 + 2y + 1) = 10 + \frac{9}{4} + 1 \\\)

\(\sf\: (x - \frac{3}{2})^2 + (y + 1)^2 = \frac{45}{4} \\\)

Comparing this equation with the standard form, we can see that the center of the circle is at \(\sf\:(\frac{3}{2}, -1) \\\) and the radius is \(\sf\:\sqrt{\frac{45}{4}} \\\).

Now we can calculate the length of the tangent from the point \(\sf\:(-4, 1) \\\) to the circle. We need to find the distance between the point and the center of the circle, and then subtract the radius.

Distance = \(\sf\:\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\\)

\(\sf\: = \sqrt{((-4) - (\frac{3}{2}))^2 + (1 - (-1))^2} \\\)

\(\sf\: = \sqrt{(-\frac{11}{2})^2 + 4} \\\)

\(\sf\: = \sqrt{\frac{121}{4} + 4} \\\)

\(\sf\: = \sqrt{\frac{121}{4} + \frac{16}{4}} \\\)

\(\sf\: = \sqrt{\frac{137}{4}} \\\)

\(\sf\: = \frac{\sqrt{137}}{2} \\\)

Finally, subtract the radius from this distance to find the length of the tangent:

Length of the tangent = \(\sf\:\frac{\sqrt{137}}{2} - \sqrt{\frac{45}{4}} \\\)

Therefore, the length of the tangent from the point \(\sf\:(-4, 1) \\\) to the circle \(\sf\:x^2 + y^2 - 3x + 2y - 10 = 0 \\\) is \(\sf\:\frac{\sqrt{137}}{2} - \frac{\sqrt{45}}{2} \\\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The length of the tangent from the point (-4, 1) to the circle x² + y² - 3x + 2y - 10 = 0 is (√137 - √39) / 2.

To find the length of the tangent from a given point to a circle, we need to determine the distance between the point and the center of the circle, and then subtract the radius of the circle from that distance.

The given equation of the circle is x² + y² - 3x + 2y - 10 = 0. To find the center of the circle, we need to rewrite the equation in the standard form, which is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle and r represents the radius.

Let's manipulate the equation to the standard form:

x² + y² - 3x + 2y - 10 = 0

(x² - 3x) + (y² + 2y) = 10

(x² - 3x + 9/4) + (y² + 2y + 1) = 10 + 9/4 + 1

(x - 3/2)² + (y + 1)² = 39/4

From the standard form, we can see that the center of the circle is at the point (3/2, -1), and the radius of the circle is √(39/4) = √39/2.

Now we have the center of the circle at (3/2, -1) and the point given as (-4, 1). To find the distance between these two points, we can use the distance formula:

distance = √((x2 - x1)² + (y2 - y1)²)

distance = √((3/2 - (-4))² + (-1 - 1)²)

distance = √((3/2 + 4)² + (-2)²)

distance = √((11/2)² + 4)

distance = √(121/4 + 4)

distance = √(121 + 16) / 2

distance = √137 / 2

Finally, to find the length of the tangent, we subtract the radius from the distance:

tangent length = distance - radius

tangent length = (√137 / 2) - (√39 / 2)

tangent length = (√137 - √39) / 2

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Step-by-step explanation:

5x-3y = -37 (to find x-intercept/zero, subtitute y=0)

5x- 3×0= -37 ( any expression multiplied with 0 is always 0)

5x-0= -37

5x= -37 (Divide both sides with 5 )

x = - 37/5

It has other ways but i hope this is one of them