someone please help me w this

Answer:

x = 3, y = 4

Step-by-step explanation:

Substitute 4x - 8 in for y and then solve for x:

4x + 2(4x - 8) = 20

Then, 4x + 8x - 16 = 20 --> 12x = 36 --> x = 3.

Once you have x, you can solve for y.

y = 4x - 8 = 4(3) - 8 = 12 - 8 = 4

So, x = 3, y = 4

Answer:

66

Step-by-step explanation:

let, the missing angle be x.

x= 66°{being the corresponding angle}

: the value of missing angle is 66°

Answer:.//./././/..

Step-by-step explanation:.././././..././..././//...../

From the given circle image, we can say that the two lengths that must form the ratio of 1:2 is; d. AH:HI

From the image attached, we are given that Point A is the center of the circle.

Let us access each of the options to find out which one of the two lengths must form a ratio of 1:2;

Option a. HI:EF

We see that both HI and EF are diameters of the circle. Thus, their ratio cannot be equal to 1:2.

Option b. EF:AD

We see that EF is the diameter while s the radius, we can say that;

Diameter = 2 × Radius

Thus;

EF : AD = 2:1

Option c: AD : AH

We see that both D and AH are radius and as such their ratio can never be 1:2.

Option d : AH:HI

We see that AH is the radius while HI is the diameter. Thus, their ratio will be; AH:HI = 1:2

Option e; BC:HI

We see that BC is a chord and we are not given its' length and so we can't ascertain if it forms a ratio of 1:2 with HI

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Since, m and n are prime positive number. Therefore,

               m + n = 18 + 19 =037

The polynomial we are given is rather complicated, so we could use Rational Root Theorem to turn the given polynomial into a degree-2 polynomial. With Rational Root Theorem, x = 1, -1, 2, -2 are all possible rational roots. Upon plugging these roots into the polynomial, x = -2 and x = 1 make the polynomial equal 0 and thus, they are roots that we can factor out.

The polynomial becomes:

(x - 1)(x + 2)(x^2 + (2a - 1)x + 1)

Since we know 1 and -2 are real numbers, we only need to focus on the quadratic.

We should set the discriminant of the quadratic greater than or equal to 0.

(2a - 1)^2 - 4 ≥ 0.

This simplifies to:

a ≥ 3/2

or,

a ≤ - 1/2

This means that the interval (- 1/2 ,3/2) is the "bad" interval. The length of the interval where a can be chosen from is 38 units long, while the bad interval is 2 units long. Therefore, the "good" interval is 36 units long.

36/38 = 18/19

18+ 19 = 037

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The probability that at least one of them is not interested in investment banking is 13/14.

It is a branch of mathematics. The possibility of the outcome of any random event is termed as probability. The range of the probability must be between o to 1. Here o indicates impossibility of an event and 1 indicates certainty. Probability can be expressed in proportions. Probability deals in finding the occurrence of an event.

Probability of the first person who is not interested in investment banking is 6/21

Probability of the second person who is not interested in investment banking and also first person was not interested then it is taken as 5/20.

probability that at least one is not interested in investment banking

=1- The probability that neither one of them is not interested in investment banking

=1-((6/21)×(5/20)

=13/14

Therefore, the probability that at least one of them is not interested in investment banking is 13/14.

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a) As per the demand function, the solution for C is $160, and k is 0.0006

b) The optimal price and quantity that will maximize the revenue for the small business's new product are approximately $48.56 and 414 units, respectively.

To solve for C and k, we need to eliminate one of the variables, either C or k. We can achieve this by taking the ratio of the two equations, which yields:

\($45/40 = (Cek(1000))/(Cek(1200))$\)

Simplifying the equation, we get:

\($1.125 = e^{200k}$\)

Taking the natural logarithm of both sides, we get:

ln(1.125) = 200k

Therefore, k=ln(1.125)/200 = 0.0006

Substituting this value of k in one of the equations, we can solve for C. We can use the first equation:

\($45=Ce^{ln(1.125)*1000/200}$\)

Simplifying, we get:

C=180/1.125 ≈ $160

To find the quantity that maximizes revenue, we need to take the derivative of the revenue function with respect to x and set it equal to zero, and then solve for x.

Taking the derivative of R(x), we get:

\(R'(x) = 160e^{(ln(1.125)x/200)} + 160x\times(ln(1.125)/200)\times e^{(ln(1.125)x/200)}\)

Setting R'(x) = 0, we get:

\(160e^{(ln(1.125)x/200)} + 160x\times(ln(1.125)/200)\times e^{(ln(1.125)x/200)}=0\)

Simplifying the equation, we get:

\(e^{(ln(1.125)x/200)} = -x\times(ln(1.125)/200)\)

Taking the natural logarithm of both sides, we get:

\(ln(e^{(ln(1.125)x/200)}) = ln(-x\times(ln(1.125)/200))\)

x = -200/ln(1.125) ≈ -414.72

The negative value of x is not meaningful in this context, so we can ignore it. Therefore, the quantity that maximizes revenue is approximately 414 units.

To find the corresponding price that yields the maximum revenue, we can substitute x = 414 in the demand function:

p = \(160e^{(ln(1.125)*414/200)}\)≈ $48.56

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For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

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The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

The last cup contains 4 ounces of lemonade. Option (a) is correct.

Pam has 228 ounces of lemonade and she pours it into 8-ounce cups. To determine the amount of lemonade in the last cup, we divide the total amount of lemonade by the size of each cup.

228 ounces ÷ 8 ounces = 28 cups with a remainder of 4 ounces.

Since the last cup is not completely full, the remaining 4 ounces of lemonade are in the last cup. This means option (a), which states that there are 4 ounces in the last cup, is the correct answer.

By dividing the total amount of lemonade by the cup size and considering the remainder, we can determine the quantity of lemonade in the last cup, which in this case is 4 ounces.

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2(6a - 5) + 2(a + 1) =

= 12a - 10 + 2a + 2 =

= 12a + 2a - 10 + 2 = 14a - 8

Answer:

14a-8

Step-by-step explanation:

A perimeter is the sum of the length of each side. So we can find the perimeter by adding: (a+1)+(a+1)+(6a-5)+(6a-5).

Combine like terms to get: 14a+2-10 = 14a-8.

Without knowing what a is, the perimeter is 14a-8.

Area of the birdhouse that Sakura will paint is 300 inches².

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that,

Sakura has a birdhouse with rectangular walls, a rectangular bottom, and a rectangular entry.

She will paint the four outside walls but not the bottom or the roof of the birdhouse.

We have to find the remaining area of the birdhouse without bottom and roof.

Area of the rectangular walls.

The two walls are of dimensions 10 inch × 6 inch and the other two are of the dimensions 10 inch × 10 inch.

One of the wall has a rectangular entry. so we have to subtract the area of the entry.

Total area = (10 × 6) + (10 × 6) + (10 × 10) + [(10 × 10) - (4 × 5)]

                 = 60 + 60 + 100 + [100 - 20]

                 = 300 inches²

Hence the total area needed to paint is 300 inches².

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c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.

A quantity known as length has the ability to calculate approximate distance between two areas. In addition to height the breadth, it creates an object's length. Children will learn about length in math lessons to help them solve practical challenges both inside and outside of the classroom. the length or width that is possible to measured; a thing's greatest or longest dimension. 10 feet in length. Table of Metric units, Metric System Table: The length characteristic. The quantity or measurement between two points is the definition of length. In other words, a geometric arrangement or object's largest two or highest three dimensions.

given

Start by calculating the length of the base's diagonal using the Pythagorean theorem:

a² + b² = c²

Fill in the equation with the length and width:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Using our estimated diagonals for the base and the height, we can now determine the prism's diagonal's length. Apply the same formula:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. When the diagonal length for the rectangular prism is given is to the nearest whole unit, the correct answer is B.

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Answer:

Hello,

Step-by-step explanation:

n! + (n-1)!

=(n-1)! * n+ (n-1)!

=(n-1)! * (n+1)

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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To evaluate the given integral, we can use the fact that D is symmetric with respect to both axes. This means that we can rewrite the integral as:
∫∫D g(x^2 tan(z) + ã¡ + 3) dA
= 4 ∫∫D g(x^2 tan(z) + ã¡ + 3) dxdy where we have used the symmetry of D to change the limits of integration.

Next, we can convert to polar coordinates, which is particularly convenient since D is defined in terms of x and y in terms of their distance from the origin. Specifically, we can substitute x = r cos(θ) and y = r sin(θ), and also use the identity tan(z) = sin(z) / cos(z) = y/x:
∫∫D g(x^2 tan(z) + ã¡ + 3) dxdy
= 4 ∫θ=0^2π ∫r=2^√(9 - r^2 cos^2(θ)) 0 g(r^2 sin(θ) cos(θ) + ã¡ + 3) rdrdθ where we have used the equation of the circle r^2 = x^2 + y^2 = 4 to set the limits of integration for r.
Now we can simplify the integrand by noting that r^2 sin(θ) cos(θ) = (r^2/2) sin(2θ). We also have the constant term ã¡ + 3, which does not depend on r or θ. Thus, we can pull it out of the integral:
4 ∫θ=0^2π ∫r=2^√(9 - r^2 cos^2(θ)) 0 g((r^2/2) sin(2θ) + ã¡ + 3) rdrdθ
= (ã¡ + 3) 4 ∫θ=0^2π sin(2θ) dθ ∫r=2^√(9 - r^2 cos^2(θ)) 0 g(r^2/2) rdr
The inner integral can be evaluated using the substitution u = r^2/2, so that rdr = du/sqrt(2), and the limits of integration become u = 0 to u = 9/2 cos^2(θ). We can then use the fact that g is an arbitrary function, so we can write:
∫r=2^√(9 - r^2 cos^2(θ)) 0 g(r^2/2) rdr
= ∫u=0^9/2cos^2(θ) g(u) du/sqrt(2)
Finally, we can substitute back into the original expression:
4 ∫θ=0^2π sin(2θ) dθ ∫r=2^√(9 - r^2 cos^2(θ)) 0 g(r^2/2) rdr
= (ã¡ + 3) 4 ∫θ=0^2π sin(2θ) dθ ∫u=0^9/2cos^2(θ) g(u) du/sqrt(2)
= 2π (ã¡ + 3) ∫u=0^9/2 g(u) du

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The probability of one red sweet and one green sweet is 1/77

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

Red sweet = 11

Green sweet = 7

This means that

P(Red) = 1/11

P(Green) = 1/7

So, the required probability is

P = 1/11 * 1/7

Evaluate

P = 1/77

Hence, the probability is 1/77

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Answer:

237/28

Step-by-step explanation:

4 5/7=33/7

3 3/4=15/4

----------------

33/7+15/4=132/28+105/28=237/28

Answer:

8 13/28 or as a decimal: 8.46

Step-by-step explanation:

Rewrite the sum:

(4+3)+(5/7+3/4)

Add the numbers 4+3:

7+(5/7+3/4)

Add the fractions:

7+41/28

Convert the improper fraction into a mixed number:

7 + 1 13/28

Write the mixed number as a sum of the whole number and the fractional part:

7+1+13/28

Add the numbers 7+1 and then there is your answer!

8 13/28

If your paper, quiz, homework, etc says decimal form or alternative form then the decimal form is 8.46 and the alternate form is 237/26. But 8 13/28 cannot be reduced any lower.

Answer:

x= 28

Explanation:

Answer:

7 in

Step-by-step explanation:

Answer:

a = 7 in

Step-by-step explanation:

\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)

Answer:

Correct Statements:

1. The graph of A(t) decreases exponentially

4. The graph of A(t) has a y-intercept at (0,1200)

5. Every year, the cell phone loses 8% of its value.

Step-by-step explanation:

Exponential functions are in the form \(y=a(b)^x\), meaning this is a exponential function, so it cannot be linear

a on the exponential function form represents the initial value, otherwise known as the y-intercept, and 1200 is a for the given equation

To find the multiplier, you do 1 -r, and since its 0.92, we do 1-0.92 = 0.08 value per year.

In a population growth model for rabbits, foxes, and humans, the sum norm of the coefficient matrix is 4.5 and the max norm is 4.4. Using these norms, we can bound the size of the population vector after one period.

(a) To find the coefficient matrix A, we identify the coefficients of the variables R, F, and H in the given model equations. Once we have A, we can calculate its sum norm by adding up the absolute values of its elements and its max norm by taking the maximum absolute value among its elements. (b) Given the population vector p = [10, 10, 10], we can calculate p'Ap by multiplying p' (transpose of p) with A and then with p. The resulting value will provide the bounds for the size of p'Ap in both sum and max norms. Comparing this value with the norm bounds will indicate how close they are. (c) To determine the sum norm bound for the population vector after four periods, p(4), we need to multiply A by itself four times and calculate the sum of the absolute values of its elements. This sum will give us the desired sum norm bound.

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Answer:

step by step explanation is given above .

6) alternate exterior angles

7) vertical angles

8) supplementary

9) alternate interior angles

10) corresponding angles

11) consecutive interior angles

12) corresponding angles

1. Yearly total dividends paid are $151,250.

2. The dividends per share are $1.25 for common stockholders

3.  The dividends per share are $4 for preferred stockholders.

We must calculate amount of dividends paid to the preferred stockholders in order to get dividends per share for common and preferred stockholders.

The per dividends paid to the preferred stockholders is:

= $50 par value x 8% guaranteed rate of return

= $4 per share

The total dividends paid to preferred stockholders:

=  $4 per share x 5,000 shares

= $20,000

The per dividends paid to those stockholder is calculated as:

= Common stock + Preferred stock

= $1.25 per share + $4 per share

= $5.25 per share

The total dividends paid to common stockholders:

= $5.25 per share x 25,000 shares

= $131,250.

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Hey there!

=> 8/40 = x/30

=> (40)(x) = (8)(30)

=> 40x = 240

Divide both sides by 40

=> 40x/40 = 240/40

=> x = 240/40

=> x = 6

Therefore, the value of x makes a true equivalent fraction statement is 6

Value of x is:

Step-by-step explanation:

Given Fraction,

\( \dfrac{8}{40} = \dfrac{x}{30} \)

Further we can solve by cross multiplication,

\( \sf 40 \times x = 8 \times 30 \)

\( \sf 40x = 240 \)

Divide both sides by 40,

\( \sf \dfrac{40x}{40} = \dfrac {240}{40} \)

\( \sf x = 6 \)

Verifying our answer.

Simply put the value of x in the given fraction ,

\( \dfrac{8}{40} = \dfrac{6}{30} \)

We know that,

\( \sf \dfrac{1}{5}= \dfrac{1}{5}\)

Hence, x = 6 makes a true equivalent fraction statement.

By dividing the angle of rotation by the duration of one rotation, the angular velocity of the Earth around its axis can be determined. The time it takes the Earth to complete one full rotation, which is equivalent to 360 degrees or 2 radians, is roughly 24 hours.

Angle change divided by time change equals angular velocity (v), as follows:

ω = θ / t

We can substitute the following values into the equation since the Earth completes one rotation every 24 hours:2 radians each day equals.

By multiplying by 3600 (the amount of seconds in an hour), we may convert the time from hours to seconds:

2 radians are equal to (24 hours * 3600 seconds/hour)

Condensing the equation:

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The correct option is (A) between 13.6 and 14.0 g/dL.

A clinical laboratory scientist performs 30 replicate hemoglobin determinations on a single blood sample. When statistics are used to determine the precision of the method, the mean is 13.8 g/dL and 1 SD is 0.1 g/dL. This means that 95.5% of the results on this specimen lie between 13.6 and 14.0 g/dL.What is Standard deviation?Standard deviation measures the spread of a dataset. In the context of science experiments, it's a way of measuring how much the individual results of an experiment deviate from the average value.

The standard deviation (SD) is the most commonly used measure of the spread of a dataset. It measures the degree of variability in a set of measurements, in this case, hemoglobin levels. The mean, also known as the average, of these hemoglobin measurements is 13.8 g/dL.Therefore, the 95.5 percent of the results of this specimen lie between 13.6 and 14.0 g/dL. So, the correct option is (A) between 13.6 and 14.0 g/dL.

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Answer:

It's the positive i, no matter what i is equal to.