how do you figure out the square root of a number like 76​

Answer:35,621.00

Step-by-step explanation:

Answer:

35,600

Step-by-step explanation:

Your ound to the nearest hundred place

Answer:

Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so

1+(6-8)=?

Just see what even number 52 can go into

Step-by-step explanation:

distance must positive

so, 25-12

=13

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

No solutions.

Step-by-step explanation:

You will only have solutions when the two lines meet. But since the slopes are the same, the two lines are parallel. Since the y-intercepts are different, that means that the two slopes will never intersect, which means that there are no solutions.

Hope this helps!

Answer: no solution

Step-by-step explanation: When lines have the same slope, the graphs of the two lines are parallel which means they never intersect.

Let's look at an example.

Below, you will see two equations.

Both of the lines have a slope of 1.

So, they must be parallel which means they don't cross.

So there is no solution.

Answer:

\(\frac{2}{3}\ln(x+1)-\frac{1}{x-2} -\frac{2}{3}\ln(x-2)+C\)

Step-by-step explanation:

Integrate the following expression.

\(\int \frac{-x+5}{(x^2-4x+4)(x+1)}\)

\(\hrulefill\)

In order to integrate this function we are gonna have to use partial fraction decomposition. Start by factoring the the denominator completely.

\(\int \frac{-x+5}{(x^2-4x+4)(x+1)}dx\\\\\Longrightarrow \int \frac{-x+5}{(x-2)^2(x+1)}dx\)

Now we can apply partial fractions. Partial fractions allows us to split up complex fractions, in doing so this will make them easier to integrate.

\(\frac{-x+5}{(x-2)^2(x+1)}=\frac{A}{x+1}+\frac{B}{(x-2)^2}+\frac{C}{x-2}\\\\\Longrightarrow \frac{-x+5}{(x-2)^2(x+1)}=\frac{A}{x+1}+\frac{B}{(x-2)^2}+\frac{C}{x-2} \Big](x-2)^2(x+1)\\\\\Longrightarrow \boxed{-x+5=A(x-2)^2+B(x+1)+C(x-2)(x+1)}\)

Expand the right-hand-side and use the comparison method to find the values of the undetermined coefficients, A, B, and C.

\(-x+5=A(x-2)^2+B(x+1)+C(x-2)(x+1)\\\\\Longrightarrow -x+5=Ax^2-4Ax+4A+Bx+B+Cx^2-Cx-2C\\\\\Longrightarrow \boxed{0x^2-x+5(1)=(A+C)x^2+(-4A+B-C)x+(4A+B-2C)(1)}\)

We can now form a system of equations.

For x^2 terms:

\(A+C=0\)

For x terms:

\(-4A+B-C=-1\)

For #'s:

\(4A+B-2C=5\)

\(\Longrightarrow \left\{\begin{array}{ccc}A+C=0\\-4A+B-C=-1\\4A+B-2C=5\end{array}\right\)

You can use any method of choice to solve the system of equations. I am going to put the system in a matrix and use my calculator to row reduce.

\(\Longrightarrow \left[\begin{array}{ccc}1&0&1\\-4&1&-1\\4&1&-2\end{array}\right] =\left[\begin{array}{c}0\\-1\\5\end{array}\right]\\\\ \\ \ \ \ \Longrightarrow \left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] =\left[\begin{array}{c}\frac{2}{3} \\1\\-\frac{2}{3}\end{array}\right]\\\\\\\therefore \boxed{A=\frac{2}{3}, \ B=1, \ \text{and} \ C=-\frac{2}{3}}\)

Now we can split up the fraction.

\(\frac{-x+5}{(x-2)^2(x+1)}=\frac{A}{x+1}+\frac{B}{(x-2)^2}+\frac{C}{x-2}\\\\\Longrightarrow \boxed{\frac{-x+5}{(x-2)^2(x+1)}=\frac{\frac{2}{3} }{x+1}+\frac{1}{(x-2)^2}+\frac{-\frac{2}{3}}{x-2}}\)

We can integrate the three fractions separately.

\(\Longrightarrow \int \frac{\frac{2}{3} }{x+1}dx+ \int \frac{1}{(x-2)^2}dx+\int \frac{-\frac{2}{3}}{x-2}dx\\\\\Longrightarrow \boxed{\frac{2}{3}\int \frac{1 }{x+1}dx+ \int \frac{1}{(x-2)^2}dx-\frac{2}{3}\int \frac{1}{x-2}dx}\\\\\)

For the first integral let u=x+1 => du=dx, for the second let v=x-2 => dv=dx, and for the third integral let w=x-2 => dw=dx

\(\Longrightarrow \frac{2}{3} \int \frac{1 }{u}du+ \int \frac{1}{v^2}dv-\frac{2}{3}\int \frac{1}{w}dw\\\\\Longrightarrow \boxed{\frac{2}{3} \int \frac{1 }{u}du+ \int v^{-2}dv-\frac{2}{3}\int \frac{1}{w}dw}\)

Use the rules of integration to integrate.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Natural Log Rule:}}\\\\ \int\frac{1}{x}dx=\ln(x) \end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Power Rule:}}\\\\ \int x^ndx=\frac{x^{n+1}}{n+1} \end{array}\right}\)

\(\frac{2}{3} \int \frac{1 }{u}du+ \int v^{-2}dv-\frac{2}{3}\int \frac{1}{w}dw\\\\\Longrightarrow \frac{2}{3}\ln(u)-v^{-1}-\frac{2}{3}\ln(w)+C\\\\\Longrightarrow \frac{2}{3}\ln(x+1)-(x-2)^{-1}-\frac{2}{3}\ln(x-2)+C\\\\\Longrightarrow \frac{2}{3}\ln(x+1)-\frac{1}{x-2} -\frac{2}{3}\ln(x-2)+C\\\\\therefore \boxed{\boxed{\int \frac{-x+5}{(x^2-4x+4)(x+1)}=\frac{2}{3}\ln(x+1)-\frac{1}{x-2} -\frac{2}{3}\ln(x-2)+C}}\)

Thus, the given integral is solved where "C" is some arbitrary constant that can be found given an initial condition.

Your answer should be B.

Explanation: Moving left or right affects the x coordinate, and moving up or down affects the y coordinate.

Moving 3 units down: A(1, 1 - 3), B(4, 2 - 3), C(3, 5 - 3) = (1, -2), (4, -1), (3, 2)

Moving 5 units to the left: A(1 - 5, -2), B(4 - 5, -1), C(3 - 5, 2) = A(-4, -2), B(-1, -1), C(-2, 2)

(Sorry I said A, earlier.)

The value of x in tan x = 4 over 9 is x = 23.9

The trigonometric equation is given as

tan x = 4 over 9

Rewrite the above equation properly

So, we have

tan(x) = 4/9

Evaluate the quotient

So, we have

tan(x) = 0.4444

Take the arc tan of both sides

x = 23.9

Hence, the value of x in tan x = 4 over 9 is x = 23.9

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Answer:

\(d^{2}\) - 16.

Step-by-step explanation:

To solve for the product of (d + 4) and (d - 4), we can use the FOIL method.

This means we multiply the first terms, then the outer, then the inner, and finally the last terms, then we add all the products together.

So, (d + 4) (d - 4) can be expanded like this:

Adding all of them together, we get: \(d^{2}\) - 4d + 4d - 16, which simplifies to \(d^{2}\) - 16.

Therefore, (d + 4)(d - 4) = \(d^{2}\) - 16.

Answer:

82° because

98° + 70° = 168°

360° - 168° = 192°

192° is for two angles, so it can't be 192°, 220°

it's not VERY obtuse angle. So it remains only 82°

Answer:

36

Step-by-step explanation:

all u have to do is subtract

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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The angle is increased in approximately 0.095 radians (5.443°) for \(x = 0.45\,m\).

Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles (\(\theta_{1}\), \(\theta_{2}\)), in radians, of the figure:

Initial triangle

\(\tan \theta_{1} = \frac{y_{1}}{x_{1}}\) (1)

Final triangle

\(\tan \theta_{2} = \frac{y_{2}}{x_{2}}\) (2)

By using (2), the equivalence \(\theta_{2} = \theta_{1}+\Delta \theta\) and trigonometric identities we have the following expression:

\(\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}\) (3)

By (1), we simplify the expression:

\(\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}\) (3b)

If \(0 \le \Delta \theta \le \frac{\pi}{6}\), then we can use the following approximation:

\(\tan \Delta\theta \approx \Delta \theta\) (4)

Then, we reduce (3b) into an entirely algebraic expression:

\(\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }\) (3c)

Where \(y_{2} = \sqrt{r^{2}-x_{2}^{2}}\).

Now we clear \(\Delta \theta\) within the formula:

\(\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }\)  (5)

If we know that \(x_{1} = y_{1} = 0.5\), \(r = 0.707\) and \(x_{2} = 0.45\), then we estimate the angle change:

\(y_{2} = \sqrt{0.707^{2}-0.45^{2}}\)

\(y_{2} \approx 0.545\)

\(\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}\)

\(\Delta \theta = 0.095\)

As \(\Delta \theta < \frac{\pi}{6}\), then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for \(x = 0.45\,m\).

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The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

The biscuits should be placed 2.54 centimeters apart on the baking tray.

The unitary method is a way for solving a problem by the first value of a single unit and than finding the value by multiplying the single unit. Unitary method is a technique by which we can find the value of a single value from the value of more than one devices and the value of more than one unit from the value of a single unit. We can this method use for most of the calculations in math.

We are given that;

Elana must roll the dough into 7 inch rounds.

a) To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, 7 inches is equal to:

7 inches x 2.54 centimeters/inch = 17.78 centimeters

So, Elana must roll the dough into 17.78 centimeter rounds.

b) To rewrite all the ingredients using grams or milliliters, we need to know the density of each ingredient. Assuming that the density of each ingredient is the same as that of all-purpose flour (which is approximately 125 grams per cup), we can convert the measurements as follows:

1 cup flour = 125 grams flour

1/2 cup sugar = 100 grams sugar

2 teaspoons baking powder = 10 grams baking powder

1 teaspoon salt = 5 grams salt

1/2 cup cream = 120 milliliters cream (assuming a density of 1 gram per milliliter)

So, the rewritten ingredients are:

125 grams flour

100 grams sugar

10 grams baking powder

5 grams salt

120 milliliters cream

c) The recipe states that the oven should be preheated to 350 °F. To convert this temperature to Celsius, we can use the formula:

Celsius = (Fahrenheit - 32) x 5/9

So, the temperature in Celsius is:

Celsius = (350 - 32) x 5/9 = 176.67 °C

Therefore, Elana should heat the oven to 176.67 °C.

d) The recipe states that the biscuits should be placed on the baking tray 1 inch apart. To convert this measurement to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters. Therefore, the biscuits should be placed on the baking tray:

1 inch x 2.54 centimeters/inch = 2.54 centimeters

Therefore, by unitary method answer will be 2.54 centimeters.

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The volume of the solid whose base is the region enclosed by the curve and the line is calculated as V = ∫ A(x) dx.

This solid has a base that is defined by a curve and a line, and its cross sections perpendicular to the x-axis are right isosceles triangles. We will use mathematical techniques to find the volume of this solid.

To find the volume of this solid, we need to use calculus. First, we need to determine the equation of the curve that forms the base of the solid. Once we have the equation, we can find the limits of integration that define the boundaries of the base region.

Next, we need to find an expression for the area of a cross section of the solid. We are given that these cross sections are right isosceles triangles. This means that the base and height of each triangle are equal. Let's call this length "a". Then, the area of each cross section is given by

=> A(x) = (1/2) * a²

To find the volume of the solid, we need to integrate the area of each cross section over the range of x values that define the base region. We can write the volume as V = ∫ A(x) dx.

To perform the integration, we need to determine the limits of integration. We can do this by finding the points where the curve intersects the line that defines the base region. Let's call these points (x1, y1) and (x2, y2). Then, the limits of integration are x1 and x2.

Finally, we need to substitute the expression for A(x) into the integral and evaluate it. The final result will give us the volume of the solid.

In summary, to find the volume of this solid, we need to use calculus. We first determine the equation of the curve that forms the base, then find an expression for the area of a cross section, and integrate this expression over the limits of integration that define the base region.

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Answer:
X-intercepts: -1 and 3

Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).

Step-by-step explanation: Hope this helps even a little bit <33

Answer:

The last one because all of those numbers are included in the table.

Answer:

4.57

Step-by-step explanation:

There are 10 lines in between 4.5 and 4.6, so we can assume each line adds 0.01

The length of the side EF for the right triangle is found as 35.35 yd.

Trigonometric ratios are the ratios of a sides of a right triangle. The sine, cosine, and tangent are three popular trigonometric ratios (tan).

The sine trigonometric equation for such an angle of 40 degrees is expressed as sin 40 degrees.

Sin 40 degrees may be calculated precisely to within 8 decimal places as 0.64278760.

In the right triangle DEF:

Apply sin function.

sinФ = perpendicular / hypotenuse

sin 40 = EF / DF

sin 40 = EF / 55

EF = 55 *sin 40°

EF = 35.35 yd

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Solve for a:

Subtract 3 from both sides:

Divide both sides by -0.4:

Answer:

I think it is b

sorry it took so long I just seen your question

As per the question, the therapist is studying the effect of the meditation and yogi exercises on reducing the stress. He offers a Radom sample of 30 people to his patients and allows them to pick the treatment.

Hence the option B is correct.

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Answer:

I think x=  -1

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

5 multiplied by what equals 15? 3 because 5x3=15. Now what you do to that number you also have to do to the other. So 2x3. It equals 6 so it'll take you 6 hours to do 15 chores.

The solution that can be used to fill in location A is 45%.

In this case, Rena is trying to make a 45% solution. The alligation diagram shows two solutions with concentrations of 20% and 45%. The concentration at location A represents the concentration of the final mixture.

To determine the concentration at location A, we can visually observe the positioning of the concentrations on the diagram. The closer a concentration is to location A, the more it contributes to the final mixture.

In this case, the concentration of 45% is closer to location A than the concentration of 20%.

This means that more of the 45% solution should be used in the mixture to achieve a 45% concentration.

Therefore, the solution that can be used to fill in location A is 45%.

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