What is the area of this figure?

Enter your answer in the box.

Answer:

23

Step-by-step explanation:

Assume the digits are

1, 4 or 2,3

The number can be 14, 41, 23, 32

Test each one:

14 + 9 = 23 does not work

41 + 9 = 50 does not work

23 + 9 = 32 works

32 + 9 = 41 does not work

9514 1404 393

Answer:

  a = 1

Step-by-step explanation:

The slope of the inverse of a linear function is the inverse of the slope of the original function.

The slope of g(x) is the coefficient of x: 1.

The inverse of 1 is 1/1 = 1.

The slope of the function g^-1(x) is 1, so a=1.

_____

Additional comment

  g^-1(x) = x +65 . . . . . a=1; b=65

The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

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The value of x, y and z in the system equation is (1, 2, 3).

The solution of the equation can be determined by using Cramer's rule as follows;

[-5    -6      0] = [ -17]

[-3     -5     5]    [2   ]

[-6    -5      1]     [-13 ]

The determinant of the matrix is calculate as;

Δ = -5 (-5 + 25) + 6(-3 + 30) + 0(15 + 30)

Δ = 62

The x-determinant of the matrix is calculated as follows;

Δx = -17(-5 + 25) + 6(2 + 65) + 0

Δx = 62

The y-determinant of the matrix is calculated as follows;

Δy = -5(2 + 65) + 17(-3 + 30) + 0

Δy = 124

The z-determinant of the matrix is calculated as follows;

Δz = -5(65 + 10) + 6 (39 + 12) - 17(15 - 30)

Δz =  186

The value of x, y and z is calculated as follows;

x = Δx/Δ = 62/62 = 1

y = Δy/Δ = 124/62 = 2

z = Δz/Δ = 186/62 = 3

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Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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Shape: Right rectangular prism

Solved for Volume

Formula: V=whl

Formula 2: L x W x H

How to solve volume Right rectangular prism?

To find the volume of a rectangular prism, multiply the length x width x height. In this case the answer will end up as 105.

Solution: V=whl=3·7·5=105

Answer: V=105

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

The ratio which is equivalent to 30:20 is option C, 3:2.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)

where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

We have given that a 2-column table has 2 rows. Column 1 is labeled

The Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.

Given ratio is 30:20

Or

3:2

Therefore, we can conclude that the ratio which is equivalent to 30:20 is option C, 3:2.

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The Complete statements are shown below.

Given:

we have AB || CD

We have to prove that ABCD is a parallelogram so that

So, <CBD = <ABD { alternate Interior angle}

AB|| CD (given)

<CDB = <ABD { alternate Interior angle}

BD = BD (Common)

So,  ΔADB ≅ Δ CDB by ASA criteria

Then by CPCT

AB= DC and AD = BC and <BCD = <DAB

So, <CDA = <CDB+ <ADB and <ABC = <CDB+ <ADB by Add Angle postulate.

Then, by transitive property

<CDA = <ABC

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Answer:

3164.56

Step-by-step explanation:

5*5*5*5(2*1000)/400-5

625(2000)/395

1250000/395

3164.56

The equation represented by the attached graph is

Quadratic equation in standard vertex form is

y = a(x - h)² + k     where a = 1/4p

The vertex

v (h, k) = (0, 0) from the graph

h = 0

k = 0

substitution of the values into the equation gives

y = a(x - h)² + k

y = a(x - 0)² + 0

y = ax²

Using point (1, 3) form the graph to solve for a

y = ax²

3 = a(1)²

a = 3

plugging in to the equation

y = ax²

y = 3x²

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Answer:

Below in bold.

Step-by-step explanation:

As we  all know a car has 4 wheels and a motorcycle has 2 so we can write 2 equations:

x + y = 140     where x = number of cars and y = number of cycles.

4x + 2y = 370.............A

Multiply first equation by 2:-

2x + 2y = 280.............B

Subtract equation  B from A:

2x = 90

x = 45.

So there are 45 cars and 140 - 45 = 95 motorcycles.

10% of the time, the population mean will go below $1,500 or exceed $2,100.

Given that,

Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.

We have to fill the blank.

We know that,

90% of the time, the real population mean will fall in the range of $1,500 and $2,100.

The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.

So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.

Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.

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Answer:

Approximately 32

Step-by-step explanation:

8.1 is closest to 8

4.2 is closest to 4

Thus, you can estimate the product to be 8*4=32

The actual product is 8.1*4.2=34.02, so it's about 2 greater than the estimated product

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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The solution to the inequality √3r + 5 > 1 is r > 16/3.

To solve the inequality √3r + 5 > 1, we can follow these steps:

Subtract 5 from both sides of the inequality:

√3r + 5 - 5 > 1 - 5

√3r > -4

Square both sides of the inequality to eliminate the square root:

(√3r)^2 > (-4)^2

3r > 16

Divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 16/3

r > 16/3

Therefore, the solution to the inequality √3r + 5 > 1 is r > 16/3.

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The flour and sugar coral that will be use to make the cookies is 2 1/4 cups.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this situation, Tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar.

The flour and sugar coral that will be use to make the cookies will be:

= 1 3/4 + 1/2

= 2 1/4

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The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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The distance that the explorers are from the lunar module is given as follows:

1.412 km.

The distance is obtained applying one of the three relations in a right triangle, which are given as follows:

For the right triangle in this problem, we have that:

We have the sides, hence the tangent is applied to find the distance, as follows:

tan(83.8º) = 13/d

d = 13/tan(83.8º)

d = 1.412 km.

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Answer:

iTS UPside dOWn

But you were supposed to multiply so your answer is 476

aka the last one

HOPE THIS HELPS!

Answer: A: Greater than the whole number

Step-by-step explanation:

5/2 x 9 = 45/2 = 22.5

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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False, If A is row equivalent to the identity matrix, then A is invertible.

Given :

if a is a square matrix that is row equivalent to the identity matrix then a is diago - nalizable.

Identity matrix :

An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else .

Invertible matrix :

An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.

so given statement is false if A is row equivalent to the identity matrix, then A is invertible.

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Answer:

12

Step-by-step explanation:

18-6

Answer:

Step-by-step explanation:

This exercise desires to test our   knowledge of units conversion,

now, given that on the map 1 inch represents 4 miles

the distance of 1mile when converted to inches ordinarily would be

1mile is 63360 inches

since on the map

1 inch represents 4 miles

63360 inches represents  Xmiles

cross multiply we have

X would be = 63360*4

On a map one mile would be 253440 miles

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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