3x + 2 - x + 2 = x + 8

Answer:

Therefore, the area of the circle in terms of π is 25π square meters.

Step-by-step explanation:

The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

Given the diameter of the circle is 10 m, we can find the radius by dividing the diameter by 2:

radius = diameter/2 = 10/2 = 5 m

Substituting the value of the radius into the formula for the area of a circle:

A = πr^2 = π(5^2) = π(25)

Answer:

The answer should be 78.5m or 78.54m

Answer:

p<=4.5

Step-by-step explanation:

Answer:

p<19/4

Step-by-step explanation:

my aunt did this she got all of it right she is top of math class

Hope this helps

The equation r-6=0 is given in the cylindrical coordinates. The shape of this equation is not a sphere; it is a cylindrical shell. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

Cylindrical coordinates (r, θ, z) are a coordinate system that defines a point in three-dimensional space. It is similar to the polar coordinate system, except that the z-axis is added, resulting in the use of a cylindrical surface to specify the point location.

Let's find the solution.The cylindrical coordinate system is a three-dimensional coordinate system that is defined by the distance from a point in the xy-plane to a fixed point known as the origin, the angle that the point makes with the x-axis, and the vertical height of the point from the xy-plane, which is referred to as the z-coordinate of the point.

When defining a point in three-dimensional space, cylindrical coordinates are commonly used.

A sphere is a three-dimensional object with a curved surface that is equidistant from a single point in space. A spherical coordinate system is often used to specify the position of a point on a sphere. A cylindrical coordinate system, on the other hand, is commonly used to specify the position of a point on a cylindrical shell.

The equation

r - 6 = 0

is given in cylindrical coordinates. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

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The simplified expression for e^ln(5x^4) is 5x^4.

To evaluate or simplify the expression e^ln(5x^4) without using a calculator, we need to understand the properties of exponential and logarithmic functions.

Let's break down the expression step by step:

Step 1: Start with the expression e^ln(5x^4).

Step 2: Recall that ln(5x^4) represents the natural logarithm of 5x^4.

Step 3: The natural logarithm function, ln(x), is the inverse of the exponential function e^x. In other words, ln(x) "undoes" the effect of the exponential function.

Step 4: Applying the property that e^ln(x) equals x, we can simplify the expression e^ln(5x^4) as follows:

e^ln(5x^4) = 5x^4.

So, the simplified expression for e^ln(5x^4) is 5x^4.

This simplification is based on the fact that the exponential function e^x and the natural logarithm ln(x) are inverse functions of each other. When we apply e^ln(x) to any value of x, the result will always be x.

By recognizing this property and applying it to the given expression, we can simplify e^ln(5x^4) to 5x^4.

It's important to note that this simplification does not require the use of a calculator. Instead, it relies on understanding the properties of exponential and logarithmic functions and how they relate to each other.

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Answer:

  39.  C. 81°

  40.  A. 5678 ft²

Step-by-step explanation:

For solving a triangle from side lengths, the Law of Cosines is most useful. When an angle is known the area formula using that angle is applicable. If only side lengths are known, then Heron's formula is useful for finding the area.

__

The largest angle is opposite the longest side. The law of cosines tells us ...

  c² = a² +b² -2ab·cos(C)

Solving for the angle, we find ...

  C = arccos((a² +b² -c²)/(2ab)) = arccos((100² +115² -140²)/(2·100·115))

  C = arccos(3625/23000) ≈ 80.93°

The largest angle is about 81°.

__

The area of the triangle can be found using the formula ...

  Area = 1/2ab·sin(C)

  Area = 1/2(100)(115)sin(80.93188°) ≈ 5678.13 . . . square feet

The area of the triangular playground is about 5678 square feet.

_____

Additional comment

The largest angle of a triangle cannot be less than 60°, so we only need to determine whether the triangle is obtuse. The positive sign of cos(C) tells us it is not. That only leaves one answer choice for the angle.

We know a right triangle would have sides of approximately 100, 100, 141, so the given side lengths suggest the triangle is acute, rather than obtuse.

__

Numerous triangle solvers are available online and as apps. The attachment shows the output of one of them for this triangle.

Thus, cos x/2 = (sqrt(2))/2 has the solution for x =  4kx ± π/2 in the intervals  [0, 2pi).

The ratio of the hypotenuse to the side adjacent to the acute angle together in right triangle is the cosine function, which is a trigonometric function.

This cosine function for only a specified range of angles is represented graphically by the cos graph. A trigonometric graph's horizontal axis is the angle, which is typically denoted by the symbol, and the y-axis is really the sine function of just that angle. The maximum and minimum values are 1 and 1.

There are amplitudes for both the sine and cosine functions. This is due to the scope limitations of each function. Both functions typically have an amplitude of 1, though this can vary depending on the way the function is constructed.

Given function:

cos x/2 = (sqrt(2))/2

OR,

cos x/2 = √2/2

cos x/2 = cos (2kx ± π/4) , k ∈ R (real number)

x/2 = 2kx ± π/4

x =  4kx ± π/2

Thus, cos x/2 = (sqrt(2))/2 has the solution for x =  4kx ± π/2 in the intervals  [0, 2pi).

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The equation of the given circle is :

\((x - 2) {}^{2} + (y - ( - 2)) {}^{2} = 9\)

So the value in the blanks will be :

The balloon that was farther from the town at the beginning, and which traveled more quickly is Henry's balloon.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Henry's balloon is 48 miles after 2 hours.

Tasha's balloon after 2 hours will be:

= 8x + 20

= 8(2) + 20

= 32 miles

In this case, Henry's balloon is farther.

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Answer:

3375 \(m^{3}\)

Step-by-step explanation:

We know that the total surface area of any cube is equal to \(6a^{2}\)

So, we can write the equation \(6a^{2} = 1350\)

Next, we remove 6 from both sides of the equation by dividing 6 by 6 (therefore canceling it out) and dividing 1350 by 6, which gives us 225.

Now, we have the equation \(a^{2} = 225\)

We can rewrite the equation to be \(a^{2} = 15^{2}\)

The volume of a cube is \(a^{3}\)

So, if we replace the 2 on the 15 with a 3, we now have \(15^{3}\) or 15 to the power of 3.

And 15 to the power of 3 is 3375.

Answer:

I think its 0= 0

Step-by-step explanation:

Answer:

A ≈ 14.8 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A = \(\frac{1}{2}\) × 4.3 × 7 × sin79°

   = 15.05 × sin79°

   ≈ 14.8 units² ( to 1 decimal place )

Variation can be direct, inverse or jointly

Jordan's first error is that he incorrectly calculated the value of proportionality constant

From the question, we understand that f varies directly as the square root of g.

This variation is represented as:

\(\mathbf{ f\ \alpha\ \frac{1}{\sqrt{g}}}\)

Express as a equation

\(\mathbf{ f\ \ =\ k\frac{1}{\sqrt{g}}}\)

When f = 4, k = 4.

So, we have:

\(\mathbf{ 4\ \ =\ k\frac{1}{\sqrt{4}}}\)

\(\mathbf{ 4\ \ =\ \frac{k}{2}}\)

Multiply both sides by 2

\(\mathbf{ k = 8}\)

When g = 100, we have:

\(\mathbf{ f\ \ =\ k\frac{1}{\sqrt{g}}}\)

\(\mathbf{ f\ \ =\ 8 \times \frac{1}{\sqrt{100}}}\)

\(\mathbf{ f\ \ =\ 8 \times \frac{1}{10}}\)

\(\mathbf{ f\ \ = 0.8}\)

This means that, Jordan incorrectly calculated the value of proportionality constant

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Answer:

C. 2.8 * 10^-5

Step-by-step explanation:

Ok so its been a while since I've done these but pretty sure c is the answer. (Double check to make sure I'm correct)

Answer:

The answer is C and good luck on whatever you're doing!

Answer:

Step-by-step explanation:

Answer:

the ratio is 12:5

Step-by-step explanation:

48:20 divided in half 24:10 divided in half 12:5

Answer:

5

Step-by-step explanation:

Answer:

\( \boxed{0.76} \: is \: correct.\)

Step-by-step explanation:

\( let \: the \: unknown \: ounce \: be \to \: u_{kn}\\ if \: 1 \: ounce \: is = 23.8 \: grams \\ then \to \: u_{kn} = \frac{18 \: grams \times 1 \: ounce}{23.8 \: grams } \\ u_{kn} = \frac{18}{23.8} (1 \: ounce \:) = 0.756302521 \times 1 \: ounce \\ \boxed{u_{kn} = 0.756302521 \: ounce }\)

♨Rage♨

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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The problem that can arise from different styles and formats of quotations in terms of measurements or units is inconsistency and confusion.

If different suppliers or vendors quote prices based on different measurement units or quantities, it can make it difficult to compare and evaluate the offers accurately. It may lead to misunderstandings, errors in pricing, and challenges in making informed purchasing decisions. When quotations are based on different measurement units or quantities, it becomes challenging to compare them directly. For example, one supplier may provide a quotation based on cubic measurements, while another supplier may quote based on kilograms or the number of containers. This inconsistency can create confusion and make it difficult to determine which quotation offers the best value or meets the requirements of the buyer.

In such cases, it is essential to establish a common basis for comparison. This may involve converting the quotations to a standardized unit or quantity that is relevant to the buyer's needs. For example, if one supplier quotes based on cubic measurements and another based on the number of containers, the buyer may need to convert both quotations to a common unit, such as the cost per container or per cubic measurement, to make a fair comparison.

Without a standardized basis for comparison, it becomes challenging to assess the true costs and benefits of different quotations. It can lead to misunderstandings, as the buyer may assume a certain quantity or unit of measurement based on their expectations or previous experiences. This can result in errors in pricing, incorrect budgeting, and potentially selecting a supplier that may not be the most cost-effective or suitable option.

To avoid these problems, clear communication and clarification of the quotation requirements are crucial. Buyers should specify the preferred measurement units or quantities and ask suppliers to provide quotations based on those specifications. This helps ensure consistency, accuracy, and enables an informed evaluation of the quotations to make an appropriate purchasing decision.

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Answer: 2.6 or 2 2/3

Step-by-step explanation:

3 1/4 = 3.25

3.25/5 = 0.65

0.65 x 4 = 2.6 or 2 2/3

Answer:

24

Step-by-step explanation:

Answer:

Answer:d

Step-by-step explanation:

The  equation relates the distance and time with a constant speed of 4 meters per second is d= 4t.

In mathematics, an equation is a statement of equality between two mathematical expressions, which are separated by an equals sign (=) and consist of variables and constants.

Di runs at a rate of 4 meters per second.

So, The equation that models the situation is:

d = 4t

where d is the distance traveled in meters, and t is the time spent running in seconds.

This equation relates the distance and time with a constant speed of 4 meters per second.

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multiply Start Fraction 5 Over 7 End Fraction by 3.

What do math fractions mean?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                Whether it is in the numerator or denominator, a complex fraction contains a fraction.

                             The numerator and denominator of a correct fraction are opposite each other.

What is basic fraction theory?

Every fraction has two components: the numerator, which is the actual number of parts, and the denominator, which is the total number of parts.

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Answer:

c is the answer i took the test

Step-by-step explanation:

The type of standard score that has a mean (m) of 0 and a standard deviation (sd) of 1 is known as the Z-score.

The Z-score, also referred to as the standard score, is a statistical measure that standardizes a given value in a distribution. It indicates how many standard deviations a particular value is away from the mean of the distribution. When the mean (m) is 0 and the standard deviation (sd) is 1, the resulting Z-score is based on this standardization. The formula for calculating the Z-score is (x - m) / sd, where x represents the value being standardized. By using this formula with m = 0 and sd = 1, the Z-score provides a standardized value that allows for comparisons and analysis across different datasets with varying means and standard deviations.

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The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

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Answer:

use desmos graphing calculator

Answer:

24 pots 2 plates

Step-by-step explanation:

Answer:

24 pots and 2 plates

Step-by-step explanation:

Answer:

65.6

Step-by-step explanation:

try it itis right guys the exlpation is on my calculater.

Answer:

I got you bro so the sales tax is $0.80 and the total cost is $10.80

Answer:

Step-by-step explanation:

Now we have to,

→ find sales tax and total cost.

The sales tax will be,

→ 8% of $10.00

→ (10/100) × 8

→ 80/100

→ $0.8

Now the total cost will be,

→ $10 + sales tax

→ 10 + 0.8

→ $10.8

Hence, total cost is $10.8.

Answer:

Step-by-step explanation:

All the sides are marked with congruency slashed, and they all line up when you orient the triangles the same way, so the statement is SSS.