c. Write an equation for which every real number is a solution. Choose the correct answer below.
OA. 7(x-2)=2(x-7)
OB. 2(x-7)=2(x-7)
OC. x+2=x+7

Answer:

8.125% is the answer

Step-by-step explanation:

steps in picture, to help you better understand

Step-by-step explanation:

You need to either graph the equation or manipulate the equation into the standard form for a circle  ( often requiring 'completing the square' procedure)

circle equation:

        (x-h)^2 + (y-k)^2  = r^2    where (h,l) is the center   r = radius

x^2  - 6x      +     y^2 + 10 y  = 2    'complete the square for x and y

x^2 -6x +9    +     y^2 +10y + 25   = 2  + 9   + 25      reduce both sides

(x-3)^2           +  (y+5)^2    = 36     (36 is 6^2   so r = 6)

   center is  3, -5

The number which, when subtracted from 80, results in -30 is equal to 110.

To solve this problem, we can use algebraic equations to represent the given information. Let x be the number that we want to find.

According to the problem, when we subtract x from 80, we get -30:

80 - x = -30

To solve for x, we can isolate it on one side of the equation by adding x to both sides, and then simplify:

80 - x + x = -30 + x

80 = -30 + x

Next, we can isolate x by subtracting -30 from both sides:

80 - (-30) = x

Simplifying the right-hand side:

80 + 30 = x

110 = x

Therefore, the number that was subtracted from 80 and gave -30 as the result is 110.

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Step-by-step explanation:

let the number be x

\(1 \div 3 \: of \: x \\ x \div 3 = 1 \div 2 \: of \: x - 6 \\ x \div 3 = x \div 2 - 6 \\ multiply \: both \: sides \: by \: the \: lcm \: 6 \\ x \div 3 \times 6 = x \div 2 \times 6 - 6 \times 6 \\ x \times 2 = x \times 3 - 36 \\ 2x = 3x - 36 \\ 2x - 3x = - 36 \\ - x = - 36 \\ divide \: both \: sides \: by \: - 1 \\ - x \div - 1 = - 36 \div - 1 \\ x = 36\)

The tax rate given as a percentage, can be used to find out the amount

to be paid as tax.

Correct response:

The given parameters are;

Susan Wong's taxable income last year = $52,915

The income tax rate = 2%

Required:

Susan Wong's tax last year

Solution:

The tax rate is given as a percentage of the taxable income.

The amount payable as tax = The tax rate × The taxable income

Therefore;

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The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:

x=2

y=-4

Step-by-step explanation:

a) we isolate y

18=7x-y

+y.     +y

y+18=7x

-18.  -18

y=7x-18

b) now fill this in

3x+(7x-18)=2

10x-18=2

    +18. +18

10x=20

/10.  /10

x=2

Now fill in X to find y

3(2)+y=2

6+y=2

-6.  -6

y=-4

Hopes this helps

Answer:

50

Step-by-step explanation:

Answer:

if it works like the dollar 53p

Answer:

53p

Step-by-step explanation:

£1 = 100p

=> Change = 100p - 47p = 53p

9514 1404 393

Answer:

  y = -x +1

Step-by-step explanation:

The given point is 2 units left of the y-axis. The slope of -1 means that a point 2 units right of that (on the y-axis) will be 2(-1) = -2 units vertically from y=3.

That is, the line will cross the y-axis at y=3-2 = 1. Now, you know the slope is -1 and the intercept is 1, so the equation is ...

  y = mx + b . . . . . where m is the slope and b is the y-intercept

  y = -x + 1

Answer:

the slope is \(m=-\frac{3}{5}\)

Step-by-step explanation:

\(3x+5y=-5\)

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

Answer:

772.8 km

Step-by-step explanation:

Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:

Average speed = Total distance / total time

The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.

Given that average speed is 224 km/h, hence:

Average speed = total distance / total time

224 km/h = total distance / 3.45 h

total distance = 224 * 3.45 = 772.8 km

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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Answer: I believe the answer here would be 52.5 degrees.

Step-by-step explanation: Because an isosceles triangle has two equal sides, their base angles would be the same. The angles of a triangle add up to 180 degrees, so you would subtract 75 from 180 and divide 105 by two in order to find one of the base angles.

Answer:

25pi-24 cm²

Step-by-step explanation:

pi(5)²-2(1/2)*6*4

25pi-24 cm²

The area of the shaded region is (25π - 24) sq.cm.

"\(A = \pi \times r^2\), where 'r' is the radius of the circle."

"\(A=\frac{1}{2}\times b\times h\), where b is the base and h is the height."

For given question,

area of the shaded region = area of circle - area of 2 isosceles triangles

First we find the area of the circle:

Here, radius r = 5 cm

So, the area of the circle would be,

\(A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2\)

Now, for isosceles triangle,

base b = 6 cm

And height h = 5 - 1

                   h = 4 cm

Using the formula for area of the triangle,

\(A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2\)

So, the area of the shaded region would be,

the area of the shaded region

\(= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.\)

Therefore, the area of the shaded region is (25π - 24) sq.cm.

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Neither Cheyenne nor Sebastian got the correct answer when subtracting the given polynomial.

Subtracting polynomials requires careful attention to terms and their coefficients. If both Cheyenne and Sebastian arrived at incorrect answers, it indicates a mistake in their subtraction process. To determine if either of them got the correct answer, we need to compare their solutions with the correct solution. Without the specific polynomial provided, we cannot provide a detailed analysis. However, we can consider some common errors that might occur during polynomial subtraction.

One possible error is neglecting to distribute the subtraction sign to all terms of the polynomial being subtracted. This mistake can result in incorrect coefficients and signs of terms in the final answer. Another common error is misaligning the terms when subtracting, which leads to incorrect cancellations and additions. It's also possible that both Cheyenne and Sebastian made different mistakes, resulting in distinct incorrect answers.

In conclusion, without the specific polynomial and the calculations performed by Cheyenne and Sebastian, it is challenging to determine the exact nature of their errors. However, since they both arrived at incorrect answers, it suggests that they made mistakes during the subtraction process, such as neglecting to distribute the subtraction sign or misaligning the terms.

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Answer:

$184

Step-by-step explanation:

85 + 7 = 92

92 x 2 = 184

Answer:

B

Step-by-step explanation:

The study "National Center for Health Statistics Data Presentation Standards for Proportions" by Parker JD et al. (2017) provides guidelines for presenting proportion data in health statistics.

The authors highlight the importance of standardizing the presentation of proportions to ensure consistency and facilitate accurate interpretation of health data. They provide recommendations for calculating proportions, defining numerators and denominators, and presenting percentages and rates.

For instance, the authors suggest using clear and unambiguous definitions for the numerator and denominator to avoid confusion. They emphasize the need to report the base size or sample size for each proportion to provide context and aid in understanding the precision of the estimates.

The authors also discuss various methods for presenting proportions, such as percentages, rates, and ratios. They provide guidelines for selecting appropriate formats based on the purpose of the analysis and the target audience.

The study by Parker JD et al. (2017) establishes data presentation standards for proportions in health statistics. By adhering to these guidelines, researchers and statisticians can ensure consistency, clarity, and accurate interpretation of proportion data. These standards facilitate effective communication of health information, enabling policymakers, healthcare professionals, and the general public to make informed decisions based on reliable data. By adopting standardized presentation methods, the study contributes to enhancing the quality and utility of health statistics, ultimately improving public health outcomes.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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5. 4/9 probability

Explanation; You would do (4/13)/(9/13) and that = 4/9.

5b. I don't really get it, it sounds like its asking the same thing.

I gotta go so i will finish later hopefully

Answer:

699 + 329 = 1,028

1,028 × 3 = 3,084

Step-by-step explanation:

you add the prices together and and tha answer you get, you multiply by 3.

The binomial expansions for the given expressions \((a-b)^{2} = 1a^{2} + 2ab + 1b^{2} and (a-b)^{3} = 1a^{3} + 3a^{2}b+ 3ab^{2} + 1b^{3}\) are related to the pascal's triangles 3rd and 4th rows.

An expression that has been raised to any finite power can be expanded using the binomial theorem known as binomial expansion. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem.

The triangle is named after the French mathematician and philosopher Blaise Pascal (1623–1662) who, in his dissertation Traité du triangle arithmétique (Treatise on Arithmetical Triangle), published the first structured study on the characteristics and uses of the triangle in 1653.

Pascal's triangle is a triangular array of numbers that can be used to help expand binomials. Each number in the triangle is the sum of the two numbers directly above it. The first row of the triangle consists of a single 1, and each subsequent row begins and ends with a 1, with the other numbers being the sum of the two numbers directly above it.

For example, the first few rows of Pascal's triangle look like this:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

To use Pascal's triangle to expand a binomial, you can start by writing out the terms of the binomial, with a blank space for each coefficient. Then, you can fill in the blanks using the numbers from Pascal's triangle. For example, to expand (a + b)^3, you can write out the terms like this:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Then, you can fill in the blanks using the numbers from Pascal's triangle:

(a + b)^3 = 1a^3 + 3a^2b + 3ab^2 + 1b^3

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Answer:

The coefficients of the terms come from rows of the triangle.If the exponent is n, look at the entries in rown.

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf y = 10}\)

Step-by-step explanation:

Given Equation is:

y = x / k

We know that y = 5 when x = 30

Put it in the above equation

5 = 30 / k

k = 30 / 5

k = 6

Now,

y = ? when x = 60

Put it in the above equation

y = x / k

y = 60 / 6

y = 10

\(\rule[225]{225}{2}\)

Hope this helped!

The measurement that is closest to the value of x, in centimeters, is given as follows:

14.3.

In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.

Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length of x is calculated as follows:

x² = 11.9² + 7.9²

x = square root of (11.9² + 7.9²)

x = 14.28.

Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.  

We suppose that 11.9 cm and 7.9 cm are the measures of the legs.

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Answer:

The choice A.

Step-by-step explanation:

\(9 \sqrt{2} - 3 \sqrt{7} + \sqrt{8} - \sqrt{28} \\ \\ 9 \sqrt{2} - 3 \sqrt{7} + ( \sqrt{2} \sqrt{4} ) - ( \sqrt{4} \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + (2 \sqrt{2} ) - (2 \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + 2 \sqrt{2} - 2 \sqrt{7} \\ (9 \sqrt{2} + 2 \sqrt{2} ) + ( - 3 \sqrt{7} - 2 \sqrt{7} ) \\ 11 \sqrt{2} - 5 \sqrt{7} \)

The simplified value of in radical form is 11√2 - 5√7.

In mathematics, a radical is the inverse of an exponent, which is represented by the symbol '√' , also known as root. It can be a square root or a cube root, and the number preceding the symbol or radical is known as an index number or degree. This is a whole integer with an exponent that cancels out the radical.

We have 9√2 - 3√7 + √8 - √28

First, solve the radical as possible

√8= 2√2

and, √28= 2√7

So, 9√2 - 3√7 + √8 - √28

= 9√2 - 3√7 + 2√2- 2√7

= 9√2 + 2√2- 3√7- 2√7

= 11√2 - 5√7

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To solve this problem, we just need to look for the paths that match each box.

The path from start to finish box is shown by the image below.

As you can observe in the image above, the first connection is on the left of the start box because it matches the segment BD inside the box.

Then, we go to the left again because the second box contains the ray DB.

After, we go through the line BD and choose the path that matches.

We keep using the same logic until we get to the finish box.