9/x-7 = 10/x-7

what is x?

pls help me:(

Answer:37.68

Brainliest pls

Answer:

The circumference of the circle is 75.36cm

Step-by-step explanation:

There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi

Explanation

Step 1

convert the fraction in decimal number

Step 2

Multiply the result by 100

so, the fractions equals 83.33 out of 100

Answer:

Help with the answer or help understanding?

Step-by-step explanation:

Answer:

dsfsfafaf

Step-by-step explanation:

Answer: 15 laps in 12 seconds

Step-by-step explanation:

15 divided by 12 is 5/4 which is also 1.25

12 divided by 10 is 6/5 which is also 1.2

1.25 is greater then 1.2

1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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The type of diagram used to graphically show the relationship between two numerical variables is called a scatter plot.

A scatter plot is a visual representation of data points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.

Each data point on the plot corresponds to a pair of values from the two variables being analyzed. The position of each point on the graph indicates the values of both variables, allowing us to examine the relationship between them.

The main purpose of a scatter plot is to visualize the correlation or relationship between the two variables. The pattern formed by the data points on the plot can indicate the direction, strength, and nature of the relationship.

For example, if the points on the scatter plot tend to form a linear pattern, it suggests a linear relationship between the variables. On the other hand, if the points are scattered randomly with no clear pattern, it indicates a weak or no relationship between the variables.

Scatter plots are commonly used in various fields, including statistics, data analysis, and scientific research. They provide a visual way to explore and interpret relationships between variables, identify outliers, detect trends, and assess the strength and direction of associations.

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The length of the ladder is:

L = 34 feet.

We can use the trigonometric function sine to solve this problem. Let's call the length of the ladder "L". Then we know that the sine of 60° is equal to the opposite side (which is the height of the ladder) divided by the hypotenuse (which is the length of the ladder):

sin(60°) = height / L

We also know that the base of the ladder (which is the distance from the wall) is 17 feet. This is the adjacent side of the right triangle formed by the ladder, the wall, and the ground. We can use the cosine of 60° to find the length of this side:

cos(60°) = adjacent / L

cos(60°) = 1/2

1/2 = 17 / L

Multiplying both sides by 2, we get:

1 = 34 / L

Therefore, the length of the ladder is:

L = 34 feet.

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Step-by-step explanation:

When you buy a company's stock, you're purchasing a small piece of that company, called a share. Investors purchase stocks in companies they think will go up in value. If that happens, the company's stock increases in value as well. The stock can then be sold for a profit.

Stocks are an investment that means you own a share in the company that issued the stock. Simply put, stocks are a way to build wealth. This is how ordinary people invest in some of the most successful companies in the world. For companies, stocks are a way to raise money to fund growth, products and other initiatives.

The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year

Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.

Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.

B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.

C. The volcano is releasing much steam describes a qualitative observation of steam release.

D. Volcanoes are dangerous makes a general statement without providing specific numerical information.

E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.

Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.

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The probability is 7/72 that each of the final three rolls is at least as large as the roll preceding it.

Let \(N_{i}\) represent the number appearing on die when die is rolled ith time,

i=1,2,3,4

Given that \(N_{1}\)≤\(N_{2}\)≤\(N_{3}\)≤\(N_{4}\)

Each time when a die is rolled, six options are there.

Let we have four equal sets

{1,2,3,4,5,6}, now we have to select four numbers such that, exactly one number is selected from each set

Case 1: All four are same

Number of ways:⁶C₁ =6

Case 2: Three are same but one is different

Number of ways: ⁶C₁ ⁵C₁ =30

Case 3: Two are same of one kind and two are same of second kind

Number of ways: \(\frac{1}{2}\) ⁶C₁ ⁵C₁=15

Case 4: Two are same and two are different

Number of ways: ⁶C₁ ⁵C₂=60

Case 5: All four are different

Number of ways: ⁶C₄=15

Required probability:

=\(\frac{6+30+5+60+15}{6*6*6*6}\)

=\(\frac{126}{36*36}\)

=\(\frac{72}{7}\)

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Hey there! :)

Answer:

15° Celsius.

Step-by-step explanation:

Begin by deriving an equation to represent the values in the table. Use the slope formula:

\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)

Plug in values from the table into the formula:

\(m = \frac{27.0 - 22.2}{15-9}\)

Simplify:

\(m = \frac{4.8}{6}\)

Reduces to:

m = 0.8. This is the slope of the equation.

Use a point from the table and plug it into the equation y = mx + b, along with the slope to calculate the y-intercept:

27 = 0.8(15) + b

27 = 12 + b

27 - 12 = b

b = 15. This represents the value when x = 0, therefore:

The engine's temperature at rest is 15° Celsius.

Answer:

15

Step-by-step explanation:

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

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Amanda's answer correct is not correct. The correct answer is 4 R2, because she might have incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead

Amanda's answer, 3 R10, is not correct.

When we divide 34 by 8, we want to know how many times 8 goes into 34, and what is left over. We start by dividing 8 into the first digit of 34, which is 3. 8 cannot go into 3, so we move on to the next digit, which is 34.

We can see that 8 goes into 34 four times, because 8 x 4 = 32. This means that the whole number part of the answer is 4.

But there is still a remainder left over. To find the remainder, we subtract 32 from 34, which gives us 2.

Therefore, the correct answer is 4 R2.

Amanda's mistake may have been to incorrectly divide the first digit of 34, which is 3, by 8. She should have moved on to the next digit instead.

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To determine the intervals of continuity for the function f(x) = (x - 3) / (x^2 + 3x - 18), we first need to identify any discontinuities. Discontinuities occur when the denominator is equal to zero. We can factor the denominator as follows:

x^2 + 3x - 18 = (x - 3)(x + 6)

The denominator is equal to zero when x = 3 or x = -6. Therefore, the function has discontinuities at x = 3 and x = -6.

Now, we can describe the intervals of continuity using interval notation:

(-∞, -6) ∪ (-6, 3) ∪ (3, ∞)

For the identified discontinuities, the conditions of continuity that are not satisfied are:

A. There is a discontinuity at x = c where f(c) is not defined.
C. There is a discontinuity at x = c where lim x→c f(x) does not exist.

In summary, the function f(x) is continuous on the intervals (-∞, -6) ∪ (-6, 3) ∪ (3, ∞) and has discontinuities at x = 3 and x = -6, with conditions A and C not being satisfied.

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The answer is:

The interval on which the function is continuous is (-∞, -6) U (-6, 3) U (3, +∞).

The discontinuities are x = -6 and x = 3.

The conditions of continuity that are not satisfied are B and C.

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To determine the intervals on which the function is continuous, we need to check for any potential discontinuities. The function is continuous for all values of x except where the denominator is equal to zero, since division by zero is undefined.

To find the discontinuities, we set the denominator equal to zero and solve for x:

x² + 3x - 18 = 0

Factoring the quadratic equation, we have:

(x + 6)(x - 3) = 0

Setting each factor equal to zero, we find two possible values for x:

x + 6 = 0 --> x = -6

x - 3 = 0 --> x = 3

Therefore, the function has two potential discontinuities at x = -6 and x = 3.

Now, we can analyze the conditions of continuity for these potential discontinuities:

A. There is a discontinuity at x = c where f(c) is not defined.

Since f(c) is defined for all values of x, this condition is not met.

B. There is a discontinuity at x = c where lim x→c f(x) ≠ f(c).

To determine this condition, we need to evaluate the limit of the function as x approaches the potential discontinuity points:

lim x→-6 (x - 3) / (x² + 3x - 18) = (-6 - 3) / ((-6)² + 3(-6) - 18) = -9 / 0

Similarly,

lim x→3 (x - 3) / (x^2 + 3x - 18) = (3 - 3) / (3^2 + 3(3) - 18) = 0 / 0

From the calculations, we can see that the limit at x = -6 is undefined (not equal to -9) and the limit at x = 3 is also undefined (not equal to 0).

C. There is a discontinuity at x = c where lim x→c f(x) does not exist.

Since the limits at x = -6 and x = 3 do not exist, this condition is met.

D. There are no discontinuities; f(x) is continuous.

Since we found that there are two potential discontinuities, this choice is not applicable.

Therefore, the answer is:

The interval on which the function is continuous is (-∞, -6) U (-6, 3) U (3, +∞).

The discontinuities are x = -6 and x = 3.

The conditions of continuity that are not satisfied are B and C.

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Answer:

no because the lines are not parallel

The volume of Sphere T is 216 times greater than the volume of Sphere S.

The volume of a sphere is given by the formula:

V = (4/3)πr³

where V is the volume and r is the radius of the sphere.

The volume of Sphere S is:

V_s = (4/3)πr³

The volume of Sphere T is:

V_t = (4/3)π(6r)³

Divide the volumes

V_t / V_s = (4/3)π(6r)³/ (4/3)πr³

So, we have

V_t / V_s = 216

Hence, the number of times is 216

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Answer:

^4+2x^3+x+2

Step-by-step explanation:

1. Combine exponents

(+2)(^2x+1)

(x+2)(x^3+1)

2. Distribute

x (x^3+1)+2(x^3+1)

x^4+x+ 2(x^3+1)

3. Solution is x^4 + 2x^3 + x+2

Answer:

f(f(x)) = \(x^{4}\) + 2x² + 2

Step-by-step explanation:

to evaluate f(f(x)), substitute x = f(x) into f(x)

f(f(x))

= f(x² + 1)

= (x² + 1)² + 1 ← expand factor using FOIL

= \(x^{4}\) + 2x² + 1 + 1

= \(x^{4}\) + 2x² + 2

Answer:

\(f[f(x)]=x^4+2x^2+2\)

Step-by-step explanation:

Given function:

\(f(x)=x^2+1\)

To find the composite function f[f(x)], substitute the function f(x) in place of the x in function f(x):

\(\begin{aligned}\implies f[f(x)]&=f(x^2+1)\\&=(x^2+1)^2+1\\&=(x^2+1)(x^2+1)+1\\&=x^4+x^2+x^2+1+1\\&=x^4+2x^2+2\end{aligned}\)

The answer is option C: 7x + 5.

To find the cost of one order of popcorn and two sodas, we need to substitute the given expressions into the following formula:

Cost of one order of popcorn and two sodas = Cost of popcorn + Cost of two sodas

So, we have:

Cost of popcorn = 3x + 5

Cost of two sodas = 2x + 2x = 4x

Substituting these expressions into the formula, we get:

Cost of one order of popcorn and two sodas = (3x + 5) + 4x

Simplifying this expression, we get:

Cost of one order of popcorn and two sodas = 7x + 5

Therefore, the answer is option C: 7x + 5.

The new coordinates of the given rectangle after the dilation are:

J'(3, 12)

K'(18, 12)

L'(18, 3)

M'(3, 3)

Dilation is defined as a transformation, that is used to resize the object. Dilation is used to make the objects either larger or smaller.

The coordinates of the given rectangle are given as:

J(1, 4)

K(6, 4)

L(6, 1)

M(1, 1)

Thus, a dilation of (x, y) → (3x, 3y) will be:

J'(3, 12)

K'(18, 12)

L'(18, 3)

M'(3, 3)

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Answer:

100 strawberries

Step-by-step explanation:

multipy 5 by 20 and you'll get 100

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

f = 3.74

Step-by-step explanation:

f sin 42° = 2.5

f = 2.5 (sin 42° = 0.669)

sin 41°

= 3.736

= 3.74 (2.d.p.)

The value of f in the given equation is 3.74.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

f sin 42° = 2.5

Dividing both sides of the equation by sin 42°,

f = 2.5 / sin 42°

f = 3.74

Hence the value of f is 3.74.

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The possible rational roots of the polynomial equation \(0 = 3x^8 + 11x^5 + 4x + 6\) are: \(\pm1, \pm1/3, \pm2, \pm2/3, \pm3, \pm1, \pm6, \pm2.\)

To find the possible rational roots of the polynomial equation \(0 = 3x^8 + 11x^5 + 4x + 6\), we can use the Rational Root Theorem.

The Rational Root Theorem states that any rational root of a polynomial equation in the form \(a_nx^n + a_(n-1)x^{n-1} + ... + a_1x + a_0\) (where the coefficients \(a_n, a_{n-1}, ..., a_1, a_0\) are integers) must be of the form p/q, where p is a factor of the constant term \(a_0\) and q is a factor of the leading coefficient \(a_n\).

In this case, the constant term is 6, and the leading coefficient is 3. Therefore, the possible rational roots of the polynomial equation can be determined by taking the factors of 6 and dividing them by the factors of 3.

The factors of 6 are \(\pm1, \pm2, \pm3, and \pm6.\)

The factors of 3 are \(\pm1\ and\ \pm3.\)

Combining these factors, the possible rational roots of the polynomial equation are:

\(\pm1/1, \pm1/3, \pm2/1, \pm2/3, \pm3/1, \pm3/3, \pm6/1, \pm6/3\)

Simplifying these fractions, we get:

\(\pm1, \pm1/3, \pm2, \pm2/3, \pm3, \pm1, \pm6, \pm2\)

Therefore, the possible rational roots of the polynomial equation \(0 = 3x^8 + 11x^5 + 4x + 6\) are: \(\pm1, \pm1/3, \pm2, \pm2/3, \pm3, \pm1, \pm6, \pm2.\)

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The probability that the company will make less than $2m is 0.8 and b) the probability that the company will make less than $1m or at least $2m is 0.7

Here we are given respective probabilities of the revenue a company could make in a year.

a) Here we need to find the probability that it makes a revenue less than $ 2 million

This means that we need t find the probability that it makes revenue

less than $1M + greater than $1 M but less than $2M

= P(A₁) + P(A₂)

= 0.5 + 0.3

= 0.8

b)

The probability that the company will make less than $1M or at least $2M is

P(A₁ U A₃)

= P(A₁) + P(A₃) - P(A₁ ∩ A₃)

Since A₁ and A₃ are clearly mutually exclusive events, P(A₁ ∩ A₃) will be 0.

Hence we get

P(A₁ U A₃) = 0.5 + 0.2

= 0.7

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Complete Question

Assume the following in regard to a company’s annual revenue:

A₁ : Revenue < $1M; P(A₁) = 0.5

A₂ : Revenue > $1M but < $2M; P(A₂) = 0.3

A₃ : Revenue > $2M; P(A₃) = 0.2

a)What is the probability that the company will make less than $2M?

b)What is the probability that the company will make less than $1M or at least $2M

Slope-intercept form is y=mx+b

4y=6x+24
y=6/4x+6

y=3/2x+6