In it expanded form a number include three power of 10 and a five. What might the anwer be

Answer:12

Step-by-step explanation:

12

Answer:

x = 12

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (4x + 2)/5 = 10

Then the value of x will be,

→ (4x + 2)/5 = 10

→ 4x + 2 = 10 × 5

→ 4x + 2 = 50

→ 4x = 50 - 2

→ 4x = 48

→ x = 48/4

→ [ x = 12 ]

Hence, the value of x is 12.

The linear regression model obtained by fitting the data points is Y = 0.0914X1 - 0.3741.

x = test score

y = average sleep

Slope = 0.0914

intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

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Answer: -7<3

Step-by-step explanation:

3 is more than negative 7

Answer: y = -5/4x + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

4y = -5x + 16

y = -5/4x + 4

y + 7 = -5/4(x - 8)

y + 7 = -5/4x + 10

y = -5/4x + 3

Answer:

3

Step-by-step explanation:

The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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The graph of y = x^2e^(-2) has a point of inflection at the values of x where the concavity of the curve changes. In mathematical terms, a point of inflection occurs where the second derivative of the function changes sign.

To find the values of x that correspond to the points of inflection, we need to find the second derivative of the function and solve for the values of x that make the second derivative equal to zero or undefined.

First, let's find the first and second derivatives of y = x^2e^(-2):

First derivative:

dy/dx = 2xe^(-2) + x^2(-2)e^(-2) = 2xe^(-2) - 2x^2e^(-2)

Second derivative:

d^2y/dx^2 = 2e^(-2) - 4xe^(-2) = 2e^(-2)(1 - 2x)

Now, set the second derivative equal to zero and solve for x:

2e^(-2)(1 - 2x) = 0

Since e^(-2) is always positive and nonzero, we can ignore it for solving this equation. Therefore:

1 - 2x = 0

2x = 1

x = 1/2

So, the graph of y = x^2e^(-2) has a point of inflection at x = 1/2.

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Answer:

no s e

s

Step-by-step explanation:

Answer:

its b and i don't know if you can see the screenshot

Step-by-step explanation:

A second linearly independent solution of y₂ is \(-\frac{1}{6x^3}\)

The general Equation is y" + P(x)y' + q(x)y = 0 ...............(i)

where P(x), Q(x) are continues in the internal I ≤ R.

If y₁(x) is a solution of equation 1 in I then y₁(x) ≠ 0.

Then y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\) is another solution.

The differential equation is x²y" + xy' – 9y = 0 where x > 0.

As y₁(x) = x³ is one solution of differential equation.

Divide throughout by (x²) to given differential equation.

1/x² (x²y" + xy' – 9y = 0)

y" + (y'/x) – (9/x²)y = 0 ................(ii)

By comparing equation (i) & (ii) we get:

p(x)=1/x , q(x)= –are continuous for x>0

So, another solution,

y₂(x) = y₁(x)\(\int{\frac{e^{-\intP(x)dx}}{(y_{1}x)^2}}dx\)

Now putting the values of P(x) And Q(x)

y₂(x) = \(x^3\int\limits {\frac{e^{\int(1/x)dx} }{(x^3)^2}} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{\frac{1}{x} }{x^6} }} \, dx\)

y₂(x) = \(x^3\int\limits {\frac{1}{x^7} }} \, dx\)

y₂(x) = \(x^3\int\limits {x^-7} } \, dx\)

y₂(x) = \(x^3\left[\frac{x^{-7+1}}{-7+1}\right]\)

y₂(x) = \(-\frac{1}{6}(x^3\times x^{-6})\)

y₂(x) = \(-\frac{1}{6x^3}\)

So, the answer of this question is \(-\frac{1}{6x^3}\).

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Answer:

the answer is 3

Step-by-step explanation:

because it seprate the shape into equal sides

Answer:

line 3

Step-by-step explanation:

There is only one line of symmetry and it is line 3.

Answer: The solution is x=7.  

Step-by-step explanation: Using the segment addition posyulate we can find the measure of the segment. given it is 4, 5, 8.

Explanation:

Building proportional relationships

\(\sf \dfrac{XA}{XY} = \dfrac{XB}{XZ}\)

21.

\(\sf \rightarrow \dfrac{5}{XY} = \dfrac{10}{18}\)

\(\sf \rightarrow XY = \dfrac{5(18)}{10}\)

\(\sf \rightarrow XY = 9\)

Then find AY

\(\sf AY = XY - XA\)

\(\sf AY = 9 - 5\)

\(\sf AY = 4\)

\(\hrulefill\)

22.

\(\rightarrow \sf \dfrac{10}{25} = \dfrac{XB}{XB + 3}\)

\(\rightarrow \sf 10(XB + 3) = 25XB\)

\(\rightarrow \sf 10XB + 30 = 25XB\)

\(\rightarrow \sf 25XB-10XB = 30\)

\(\rightarrow \sf 15XB = 30\)

\(\rightarrow \sf XB = 2\)

Then find XZ

\(\sf XZ = XB + BZ\)

\(\sf XZ = 2 + 3\)

\(\sf XZ = 5\)

\(\hrulefill\)

23.

\(\sf \rightarrow \dfrac{4}{13} = \dfrac{XB}{26}\)

\(\sf \rightarrow \dfrac{26(4)}{13} = XB\)

\(\sf \rightarrow XB = 8\)

Answer:

x = 135

Step-by-step explanation:

When two lines intersect, the opposite (X) angles are equal. These aisles are called Vertically Opposite Angles.

here

(x - 10) and (125) are vertically opposite angles.

So they'll be equal.

=> x - 10 = 125

=> x = 125 + 10

=> x = 135

so, we got the value of x to be 135.

Answer:

2/3

Step-by-step explanation:

Let's simplify the value,

→ 14/21

→ (14 ÷ 7)/(21 ÷ 7)

→ 2/3

Thus, the value is 2/3.

An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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The volume of the frustum of a pyramid with square base of side "b", square top of side "a", and height "h" is (b² - a²) × h / 3 cubic units.

The two primary divisions of calculus, differential calculus and integral calculus, are concerned with rates of change and slopes of curves.

A pyramid's frustum can be thought of as two pyramids with the same height "h" and square bases on sides "a" and "b," as well as a square top on side "a" and that height.

The formulas below give the volume of a pyramid with a square base and sides "s" and height "h":

The volume of a pyramid with square base of side "s" and height "h" is given by:

V = (s² × h) / 3

The volume of the frustum can be found by subtracting the volume of the smaller pyramid from the volume of the larger pyramid:

V = [(b² × h) / 3] - [(a² × h) / 3] = (b² - a²) × h / 3

Hence, the volume of the frustum of a pyramid with square base of side "b", square top of side "a", and height "h" is (b² - a²) × h / 3 cubic units.

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Answer: The y-intercept is the value of y when x = 0. In this case, x represents the number of hours worked and y represents the labor expenses. The relationship between the company's labor expenses and hours worked is linear, which means that it can be represented by an equation in the form y = mx + b, where m is the slope and b is the y-intercept.

To calculate the y-intercept of the linear equation, we can use the formula y = mx + b and plug in the values for one of the projects. We can use either the first project or the second project, since they both represent data points on the same line. Let's use the first project:

y = mx + b

3,000 = 50(60) + b

Simplifying the equation:

3,000 = 3,000 + b

b = 0

Therefore, the correct equation to calculate the y-intercept is 3,000 = 50(60) + b. The other equations listed do not calculate the y-intercept correctly.

Step-by-step explanation:

The circles with the specified angle of internal sectors, indicates that we get the following arc and radial lengths;

2. m∠ADC = 160°

m∠BDC = 160°

3. Length of \(\widehat{CB}\) ≈ 11.17 inches

4. Length of \(\widehat{ABC}\) ≈ 13.96 inches

5. a. The radius of ⊙ Q ≈ 14.324 inches

The radius is the straight line extending from the circle center to the circumference. The radius is the shortest distance from the circle center to the circumference of the circle.

Angle ∠ADC is congruent to ∠BDC in the circle with center D

∠ADC ≅ ∠BDC

2. ∠ADC ≅ ∠BDC, therefore;

m∠ADC = m∠BDC

The angle sum property of the angle at the center of a circle, indicates that we get;

40° + m∠ADC + m∠BDC = 360°

Therefore by plugging in m∠ADC = m∠BDC, we get;

40° + m∠ADC + m∠ADC = 360° (substitution property)

40° + 2 × m∠ADC = 360°

2 × m∠ADC = 360° - 40° = 320°

m∠ADC = 320° ÷ 2 = 160°

m∠ADC = 160° = m∠BDC

m∠BDC = 160°

3. The length of the arc \(\widehat{CB}\), can be obtained from the proportion of the circumference of the circle D represented by the sector BDC as follows;

Length of the arc \(\widehat{CB}\) = ((m∠BDC)/360°) × 2·π·r

Where;

r = The radius of the circle

The radius of the circle, r = 4 inches

Therefore; Length of the arc \(\widehat{CB}\) = (160°/360°) × 2 × π × 4 ≈ 11.17

4. The length of the arc \(\widehat{ABC}\) can be found as follows;

The angle at the center of the arc \(\widehat{ABC}\) = 40° + m∠BDC

Therefore; The angle at the center of the arc \(\widehat{ABC}\) = 40° + 160° = 200°

5. The length of the arc \(\widehat{AB}\) = 15 inches

The angle formed by the sides AQ and BQ of the sector AQB = 60°

Therefore, we get;

length of the arc \(\widehat{AB}\) = (60°/360°) × 2 × π × r = 15 inches

r = 15/((60°/360°) × 2 × π) ≈ 14.324

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Answer:

x=23,y=15

Step-by-step explanation:

take away 8 from 38, divide it by 2, you get 15. add 8 to one of the set of two 15s. you get 23 and 15

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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Answer:

Exact Form:

- 31/80

Decimal Form:

-0.3875

Step-by-step explanation:

hope this helps

sorry if wrong

Answer:

-0.3875

Step-by-step explanation:

Pa Brainless

Step-by-step explanation:

an arithmetic sequence means that every new term is the old term plus a constant number.

in our case that constant is +50.

and our starting value a0 = 250

so, the first 4 terms are

$250, $300, $350, $400

for the function formula we know

a0 = $250

a1 = a0 + 50 = 250 + 50 = $300

a2 = a1 + 50 = a0 + 50 + 50 = a0 + 2×50 = $350

a3 = a2 + 50 = a0 + 3×50 = $400

so, we see

an = a0 + n×50 = 250 + 50n

therefore,

f(n) = 250 + 50n

after 9 months saving we reached a9, meaning n=9.

f(9) = 250 + 50×9 = 250 + 450 = $700

Answer:

24623.5 cubic cm

Step-by-step explanation:

A prism with an volume of 148 cubic cm is dilated by a factor of 5.5.

This is calculated as:

Let the volume of the dilated prism = x

Hence:

x/148 = (5.5)³

Cross Multiply

x = 148 cm³ × 5.5³

x = 24623.5 cm³

The volume of the dilated prism is 24623.5 cubic cm.

Answer:

TRUE

Step-by-step explanation:

By the definition of similar polygons, corresponding sides of corresponding triangles are in proportion.

Answer:

Each pizza cost $13.75

Step-by-step explanation:

Just divide 55 by 4

the scale factor of the dilation is k = 2.

As a result, the points on line r' are situated twice as far from the starting point as their counterparts on line r.

The scale factor is a numerical value used to compare two measurements or objects. It is used to determine the proportion between two objects that have different measurements. It is used to describe how much larger or smaller one measurement is in comparison to another.

A dilation is a transformation that changes the size of a figure. In the case of line r, the dilation is a transformation that changes the size of the line.

from the question;

We need to know how much the line is being stretched or contracted in order to calculate the scale factor k of the dilation that converts line r to line r'.

Any location on the original liner that is d distance from the origin will be mapped to a place on the dilated line r' that is k * d away from the origin since the origin is the center of the dilation.

Looking at the diagram, we can see that line r passes through the points (1,2) and (5,4), which are both a distance of\(\sqrt{(1^2 + 2^2)}\) = \(\sqrt{5}\) from the origin.

Line r' passes through the points (2,4) and (10,8), which are both a distance of sqrt\((2^2 + 4^2) = 2*\sqrt{5}\) from the origin.

k = 2

Hence, k = 2 is the scale factor for the dilation. As a result, the points on line r' are situated twice as far from the starting point as their counterparts on line r.

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Answer:

44

Step-by-step explanation:

Answer:

44

Step-by-step explanation: If per 25 less only 3 were blue then unless that and get 6 total blue marbles out of 50 total  

An equation in slope-intercept form for the line with the given slope that contains the given point is y = 4x - 29.

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:

At data point (6, -5) and a slope of 4, 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) = 4(x - 6)  

y + 5 = 4(x - 6)

y = 4x - 24 - 5

y = 4x - 29

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Answer:

maybe 22 bracelets but 2 left

The sqrt() function returns the input, which is the square root. Passing a negative integer to sqrt() is forbidden!

Mathematics department includes quantities and their variations, equations and related structures, shapes and their locations and places to find them. The term "function" refers to a relationship between a set of inputs, each of which has its own output. A relationship between inputs and outputs, where each input leads to one distinct output, is called a function. Each function is assigned a domain and a code area, ie. scope In general, f denotes functions (x). the input is x. There are four main types of features available. based on the following factors: functions, one-to-one functions, many-to-one functions, internal functions and functions.

The Sqrt() function provides an input, which it receives as a return value, which is the square root. Passing a negative integer to sqrt() is forbidden! Defining symbolic constants for use in programs requires the use of the #define Preprocessor directive.

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