Which decimal is represented by the red portion of the picture?

Answer:

16 inches

Step-by-step explanation:

28 - 12 = 16 inches

1 foot = 12 inches

Answer: D Im doing the quiz

Answer:D:the range is 5, and the IQR is 10.

Step-by-step explanation:

The solution to the complex number in rectangular form is; -2 + 2i

The complex number is given as;

2√2(cos 135° + i sin 135°)

The standard form is a + bi.

The value of cos 135° is; -(√2)/2

The value of sin 135° is; (√2)/2

Plugging these values into the given equation is;

2√2(-(√2)/2 + ((√2)/2)i)

Expanding the bracket gives;

-2 + 2i

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Equivalence means to be same, whether it be value, temperature, size, etc.

First, let's convert [tex]\frac{3}{4}[/tex] into a different fraction.

We know this because each side of the fraction [tex]\frac{3}{4}[/tex] can be multiplied by 25 to get [tex]\frac{75}{100}[/tex].

Now that we know this, we can convert the fraction [tex]\frac{75}{100}[/tex] into a percentage.

A percentage is a ratio, or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

if we know that percentages are expressed as a fraction of 100, we know that [tex]\frac{75}{100}[/tex] is equal to %75.

To convert percentages into decimals, we can just take the percentage (%75) and fit it into 0.00, making it 0.75.

Therefore, the fraction [tex]\frac{3}{4}[/tex] as a percentage is %75, and as a decimal it is 0.75.

One inequality that is equivalent to 3x<1 and 6x<2 is 3x<1/2.

To see why this is true, we can divide both sides of the second inequality by 2, which gives 3x<1/3. However, we want an inequality that is equivalent to both 3x<1 and 6x<2, so we need to find a common solution.

Notice that if 3x<1, then x<1/3. And if 6x<2, then x<1/3 as well (since 1/3 is less than 2/6). Therefore, the intersection of the solutions for these two inequalities is x<1/3.

But we want an inequality in the form of 3x<a, where a is some constant. To find this value, we need to solve for x in the intersection of the two solutions:

x<1/3

Multiplying both sides by 3 gives:

3x<1

So we can choose a=1/2, which gives us the final inequality:

3x<1/2

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Answer:

To determine the balance in the Allowance for Doubtful Accounts on December 31, we first need to estimate the bad debts based on the credit sales.

Bad debts = 2% of credit sales = 2% * $400,000 = $8,000

The balance in the Allowance for Doubtful Accounts would then be equal to the estimated bad debts, which is $8,000.

Therefore, the Accounts Receivable and the Allowance for Doubtful Accounts would appear on the December 31 balance sheet as follows:

Current Assets:

Accounts receivable $120,000

Less: Allowance for doubtful accounts $8,000

Net accounts receivable $112,000

Answer:

The area of the sign is 706.5 cm^2.

Step-by-step explanation:

We know,

The formula of area of a circle,

A = πr^26

Here A is area and r is radius.

Here we have radius is 15 cm, so we can put the values in the above equation and find the area,

A = π * 15^2

A = 3.14 * 225

A = 706.5

The area of the sign is 706.5 cm^2.

Answer:

To compare the amount of money that Patrick and Brooklyn would have after 2 years, we need to calculate the interest earned using each of their methods.

For Patrick, who deposited $300 with an interest rate of 3% compounded quarterly, the formula to calculate the amount after 2 years (8 quarters) is:

A = P(1 + r/n)^(nt)

Where:

P = principal amount ($300)

r = interest rate (3%)

n = number of times compounded per year (4)

t = time in years (2)

Substituting the values into the formula:

A = $300(1 + 0.03/4)^(4 * 2)

A = $300(1.0075)^8

A = $300 * 1.06173

A = $318.52

For Brooklyn, who deposited $300 with an interest rate of 5% compounded monthly, the formula to calculate the amount after 2 years (24 months) is:

A = P(1 + r/n)^(nt)

Where:

P = principal amount ($300)

r = interest rate (5%)

n = number of times compounded per year (12)

t = time in years (2)

Substituting the values into the formula:

A = $300(1 + 0.05/12)^(12 * 2)

A = $300(1.00417)^24

A = $300 * 1.09722

A = $328.17

Therefore, after 2 years, Brooklyn would have $328.17, which is more money than Patrick's $318.52.

The volume of the cube  is 444.19 in³

The volume of the rectangular prism is 661.2 ft³

The volume of the triangular prism is 30.04 yd³

The volume of the cylinder is 380.57 km³

Volume of a cube is solved using the formula

= length³

= 7.63³

= 444.19 in³

Volume of a rectangular prism is solved using the formula

= Area of base * height

= 9.5 * 8.7 * 8

= 661.2 ft³

Volume of a triangular prism is solved using the formula

= 1/2 × base × height × length

= 1/2 * 5.84 * 3.08 * 3.34

= 30.04 yd³

Volume of a cylinder is solved using the formula

= π * radius² * height

= π * 3² * 13.46

= 380.57 km³

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Answer: 753.98m³

Formula:V=πr2h3=π·62·203≈753.98224m³

The number of weekly downloads can be modeled using an exponential function h(x) = 548 × 1.04ˣ.

What is exponential function?

An exponential function is a mathematical function in which the value of the output is proportional to the value of a fixed number (known as the base) raised to the power of the input value. The general form of an exponential function is:

                                      y = abˣ

where a and b are constants, x is the input value, and y is the output value. The constant a controls the vertical scaling of the function, while the constant b controls the rate of growth or decay. If b is greater than 1, the function grows rapidly as x increases. If 0 < b < 1, the function decays as x increases. If b is equal to 1, the function is a linear function.

Exponential functions are widely used in many fields, including finance, biology, physics, and engineering, to model growth and decay processes.

The number of weekly downloads can be modeled using an exponential function.

                             h(x) = 548 * 1.04ˣ

where x is the number of weeks after the release date, h(x) is the estimated number of weekly downloads, and 1.04 is the growth factor (1 + the expected weekly increase of 4%).

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A quadratic function could represent the data in the table, as the increase rate decreases as x increases, meaning that the function could be approaching it's vertex.

Traditionally, functions are classified as either linear or exponential, as follows:

As there is not a constant neither a multiplicative rate of change for the table, the function is neither linear nor exponential.

Considering that from x = 1 to x = 4 the rate of change is of 4/3, while from x = 16 to x = 25 the rate of change is of 4/9, that is, the increase rate decreases as x increases, the function is classified as a quadratic function.

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The sample variance and the standard deviation are 52.8 and 7.26

From the question, we have the following parameters that can be used in our computation:

23, 16, 5, 7, 11

Calculate the mean

Mean = (23 + 16 + 5 + 7 + 11)/5

Mean = 12.4

The standard deviation is

SD = √[Sum of (1 - Mean)²]/[N - 1]

So, we have

SD = √[(23 - 12.4)² + (16 - 12.4)² + (5 - 12.4)² + (7 - 12.4)² + (11 - 12.4)²]/[5 - 1]

This gives

SD = √211.2/4

So, we have

SD = √52.8

SD = 7.26

Hence, the standard deviation is 7.26

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Liters of 10% solution = 1 liters

Liters of 70% solution = 5 liters

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x +3 = 8 is an equation.

We have,

10% solution = x

70% solution = y

Now,

A 10% antifreeze solution is to be mixed with a 70% antifreeze solution to get 6 liters of a 20% solution.

This means,

We can make two equations.

0.10x + 0.70y = 6 x 0.20

0.10x + 0.70y = 1.2 ______(1)

x + y = 6 ______(2)

Solve for x and y.

From (2),

x = 6 - y

Substituting in (1) we get,

0.10x + 0.70y = 1.2

0.10 (6 - y) + 0.70y = 1.2

0.6 - 0.10y + 0.70y = 1.2

0.6 + 0.60y = 1.2

0.60y = 1.2 - 0.6

0.60y = 0.6

y = 1

And,

x = 6 - y

x = 6 - 1

x = 5

Thus,

10% solution = 1 liter

70% solution = 5 liters

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Answer: Since the perimeter of all the rectangles is equal (24 cm), the sum of the length and width of each rectangle must be equal for each rectangle. This is because the perimeter of a rectangle is equal to the sum of its lengths plus the sum of its widths, multiplied by 2.

For example, if the length of one rectangle is "l" cm and its width is "w" cm, then its perimeter would be 2l + 2w = 24 cm.

So, in general, we can write the equation: l + w = P/2, where P is the perimeter of the rectangle (in this case, P = 24 cm).

Therefore, the sum of the length and width of each rectangle is equal and constant, regardless of the individual values of the length and width. This means that as the length of a rectangle increases, its width must decrease by an equal amount to keep the sum constant. And vice versa.

In conclusion, the sum of the length and width of each rectangle is equal, and it is equal to half of the perimeter of the rectangle.

Step-by-step explanation:

Answer:

That's not math. Please classify your question correctly.

Answer:

35 mph

Step-by-step explanation:

5×5=25

60-25=35.

The slope of a line parallel to another line will have the same slope as the original line. To find the slope of the line 25x - 5y = -10, we need to rearrange the equation into the slope-intercept form y = mx + b, where m is the slope.

First, we'll isolate y:

25x - 5y = -10

5y = 25x + 10

y = (25/5)x + 2

So the slope of the line 25x - 5y = -10 is m = 25/5 = 5.

Therefore, a line parallel to 25x - 5y = -10 will have a slope of m = 5.

If X and Y are independent and identically distributed uniform random variables on (0, 1), then the joint density of

(a) U = X + Y, V = X/Y is u/v² for v > 1 and 0 ≤ u ≤ 1.

(b) U = X, V = X/Y is 1/v for v > 1 and 0 ≤ u ≤ 1.

(c) U = X + Y, V = X/(X+Y) is v/(1+v)² for v > 0 and v/(1+v) ≤ u ≤ 1.

In probability theory, joint density is a mathematical function that describes the probability distribution of two or more random variables. It represents the probability of occurrence of different values of those variables in a particular region of space. In this problem, we have to calculate the joint density of U and V, where U and V are functions of X and Y.

(a) For U = X + Y and V = X/Y, we can find the joint density as follows:

First, we need to find the distribution of U and V separately. Since X and Y are independent and identically distributed uniform random variables on (0, 1), their individual probability density functions are f(x) = 1 for 0 ≤ x ≤ 1.

To find the density of U, we can use the convolution formula, which states that the density of the sum of two independent random variables is the convolution of their individual densities. Thus,

fU(u) = ∫ fX(u - y)fY(y) dy

= ∫ 1 dy

= u for 0 ≤ u ≤ 1.

Next, to find the density of V, we need to transform X and Y using the change of variables formula. Let Z = X/Y, then

fV(v) = fZ(z)|dz/dv|

= fX(vz)/(z²) |z|

= 1/(v²) for v > 1.

Therefore, the joint density of U and V is given by the product of their individual densities:

fUV(u,v) = fU(u) fV(v)

= u/v² for v > 1 and 0 ≤ u ≤ 1.

(b) For U = X and V = X/Y, we can similarly find the joint density as:

fUV(u,v) = fX(u) fV(v)

= 1/v for v > 1 and 0 ≤ u ≤ 1.

(c) For U = X + Y and V = X/(X+Y), we can use the same method as in (a) to find the individual densities of U and V:

fU(u) = u for 0 ≤ u ≤ 1,

fV(v) = v/(1+v)² for v > 0.

Then, the joint density of U and V is given by:

fUV(u,v) = fU(u) fV(v) |du/dx|

= v/(1+v)² for v > 0 and v/(1+v) ≤ u ≤ 1.

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In the trigonometry relation the value of θ is 45 degrees and the coterminal angle between 0° < θ < 360° is 315 degrees

Coterminal angles are angles that have the same terminal side in a given circle. They are angles that differ by a multiple of 360 degrees.

In other words, if two angles are coterminal, they have the same trigonometric functions, despite having different degrees.

If sec θ = √2

θ = arc sec (√2)

θ = arc cos (1/√2))

θ = 45 degrees

coterminal of angle 45 degrees between 0° < θ < 360°

360 - 45 = 315.

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The value of 10p - 3p/4- 2 +5 for p=10 is 95.5.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

We have 10p - 3p/4- 2 +5.

Now put the value of p =10 we get

= 10p - 3p/4- 2 +5

= 10(10) - 3(10)/4- 2 +5

= 100 - 30/4 -2 + 5

= 100 -7.5 -2 +5

= 95.5

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To prove that point d is equidistant from the jungle gym and monkey bars, we need to show that the distances from d to both points are equal.

Let's call the distance from d to the jungle gym "x" and the distance from d to the monkey bars "y". We need to show that x = y.

Since angle acd is a right angle, we can use the Pythagorean theorem to relate the distances:

ad^2 + cd^2 = ac^2

We know that ad = bd (since the jungle gym and monkey bars are the same distance from d), so we can write:

bd^2 + cd^2 = ac^2

We also know that c lies on ab, so we can write:

ac = ab - bc

Substituting this into our equation, we get:

bd^2 + cd^2 = ab^2 - 2abbc + bc^2

Since d is on cd, we can write cd = y, and since c is on ab, we can write ab = x + y. Substituting these into our equation, we get:

bd^2 + y^2 = (x + y)^2 - 2xy + x^2

Simplifying, we get:

bd^2 - x^2 = 2xy - y^2

Now, if we can show that bd = x, then we will have proven that y = x and therefore that point d is equidistant from the jungle gym and monkey bars.

To do this, we can use the fact that triangle adb is isosceles (since ad = bd). This means that angle adb is equal to angle bad. We also know that angle acd is a right angle. Therefore, angle adb + angle acd = 90 degrees.

Since angle adb = angle bad, we can write:

2 angle adb + angle acd = 180 degrees

Substituting in the values of our angles, we get:

2 angle adb + 90 degrees = 180 degrees

Solving for angle adb, we get:

angle adb = 45 degrees

Now, we can use the fact that triangle adb is isosceles to write:

angle bad = (180 - 45)/2 = 67.5 degrees

Finally, we can use the law of sines to relate bd and x:

bd/sin(67.5) = x/sin(45)

Simplifying, we get:

bd = x

Therefore, we have shown that point d is equidistant from the jungle gym and monkey bars.

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The number of solutions to the trigonometric equation is; 1 solution which is x = 270°

The trigonometric equation is given as;

sin²x - 2sin x - 3 = 0

Now, factorizing this gives us;

(sin x - 3)(sin x + 1) = 0

Thus, we now have;

sin x - 3 = 0

sin x = 3

At this point, x has no real solution

For the second factor, we have;

sin x + 1 = 0

sin x = -1

x = sin⁻¹ -1

x = 270°

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The value of x is equal to 8, in the equation 14x -22.

An equation is a mathematical statement consisting of two expressions joined by an equal sign. 

Solution:

The diagonals of the dragon intersect at right angles. This gives a solvable relationship for x.

setting the displayed dimensions correspond to 90° angular dimensions.

14x -22 = 90

You can solve this two-level linear equation in the usual way.

14x = 112. . . . . . Step 1, add the reciprocal of the constant to get just x

x = 112/14 = 8 . . . Step 2, divide by the factor of x

Hence, the value of x is 8. 

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PLEASE GIVE BRAINLIEST!
thank you and have a good day :)

Answer:

x = -5

Step-by-step explanation:

15 - 2x = -4(x+1) + 9

-4(x+1) can be distributed and simplified to -4x - 4

15 - 2x = -4x - 4 + 9

15 - 2x = -4x +5

-2x + 4x = 5 - 15

2x = -10

x = -5

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

Given

[tex]15-2x=-4(x+1)+9[/tex]

Simplify the right side by applying the distributive property.

[tex]15-2x=(-4*x)+(-4*1)+9[/tex]

[tex]15-2x=-4x-4+9[/tex]

Add [tex]-4[/tex] and 9.

[tex]15-2x=-4x+5[/tex]

Add [tex]4x[/tex] to both sides of the equation.

[tex]15-2x+4x=5[/tex]

Add [tex]-2x[/tex] and [tex]4x[/tex].

[tex]15+2x=5[/tex]

Subtract [tex]15[/tex] from both sides of the equation.

[tex]2x=-10[/tex]

Divide both sides of the equation by [tex]2[/tex].

[tex]x=-5[/tex]

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The measure of angle ∠ACB is 45 degrees

From the question, we have the following parameters that can be used in our computation:

A (-3, 2), B (0, 0), C (2, 3)

The graph is attached

The lines AB and BC are perpendicular lines

This means that

∠B = 90 degrees

Calculate the length AB and BC using

distance = √[(x2 - x1)² + (y2 - y1)²]

So, we have

AB = √[(-3 - 0)² + (2 - 0)²] = √13

BC = √[(0 - 2)² + (0 - 3)²] = √13

The angle C is then calculated as

tan(C) = AB/BC

tan(C) = √13/√13

tan(C) = 1

Take the arctan of both sides

C = 45

Hence, the measure of ∠ACB is 45 degrees

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Answer:

15:18

Step-by-step explanation:

So, to say 9 more apples than pears means that 15-9 = 6. Now 3 times of 6 (pears) is 6*3= 18.

Write it in ratio is 15:18!

hope this helped!