Find the center and radius of the circle: x^2 + y^2 + 4x + 14y +52 = 0​

Answers

Answer 1

The center of the circle is point: C=(−2,−7).


Related Questions

Rework problem 29 from section 2.3 of your text, involving the selection of officers in an advisory board. Assume that you have a total of 13 people on the board: 3 out-of-state seniors, 4 in-state seniors, 1 out-of-state non-senior, and 5 in-state non-seniors. University rules require that at least one in-state student and at least one senior hold one of the three offices. Note that if individuals change offices, then a different selection exists. In how many ways can the officers be chosen while still conforming to University rules?

Answers

There are 80 ways to choose the officers while conforming to University rules.

To determine the number of ways the officers can be chosen while conforming to University rules, we need to consider the different possibilities based on the required conditions.

First, let's consider the positions that must be filled by in-state students and seniors. Since there are 4 in-state seniors and 5 in-state non-seniors, we can select the in-state senior for one position in 4 ways and the in-state non-senior for the other position in 5 ways.

Next, let's consider the remaining position. This can be filled by any of the remaining individuals, which includes 3 out-of-state seniors and 1 out-of-state non-senior. Therefore, there are 4 options for filling the remaining position.

To determine the total number of ways the officers can be chosen, we multiply the number of options for each position: 4 (in-state senior) × 5 (in-state non-senior) × 4 (remaining position) = 80.

Hence, there are 80 ways to choose the officers while conforming to University rules.

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Which is the correct comparison?
4.25 hours = 260 minutes
260 minutes > 4.25 hours
4.25 hours > 260 minutes
260 minutes < 4.25 hours

Answers

Answer:

260 minutes > 4.25 hours

Step-by-step explanation:

1h=60 min.

0.25 h=¼h=¼*60min=15min.

4.25h=4h+0.25h=60*4+15min=240+15=255min

260>255

Answer:

60+60+60+60=240

240/4=4,25

=4,25

(200 x 3) + (50 x 3)

Answers

200x3=600

50x3=150

600+150=750

750

What is the factored form of x2 - 6x - 16?
O(x – 4)(x - 2)
O (x + 4)(x - 2)
O(x - 2)(x + 8)
(x-8)(x + 2)

Answers

Answer:

( x - 8 ) ( x + 2 )

Step-by-step explanation:

x² - 6x - 16

= x² + 2x - 8x - 16

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

= ( x - 8 ) ( x + 2 )

Answer: He's right its D.) (x-8)(x=2)

Step-by-step explanation:

The last one the one at the bottom

Answers

Answer:

Step-by-step explanation

Her bank account decreased by 3 times.

Please let me know if this helps you!

An English teacher reviewed 2/3 of an essay in 1/4 of an hour. At this rate, how many essays can she review in 1 hour?

Answers

Answer: 2 2/3

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

can anyone help with this pls

Answers

Answer:

9

Step-by-step explanation:

Answer:

9 square meter

Step-by-step explanation:

1/2xbasexheight

=1/2x6x3

=9

plz mark me as brainliest.

Find the derivative of the given function. y = - 4xln(x + 12) 3х 3x A. + 3ln (x + 12) x+12 B. - 3ln (x + 12) x+12 4x 4x C. - 4ln (x + 12) D. - x+12 + 4ln (x + 12) x+12

Answers

Using chain rule the derivative for the function y = -4xln(x + 12) is -4ln(x + 12) - 4x / (x + 12).

To find the derivative of the given function y = -4xln(x + 12), we can use the product rule and the chain rule.

The product rule states that for two functions u(x) and v(x), the derivative of their product is given by:

(d/dx)(u(x)v(x)) = u'(x)v(x) + u(x)v'(x)

In this case, u(x) = -4x and v(x) = ln(x + 12). Let's calculate their derivatives:

u'(x) = -4

v'(x) = 1 / (x + 12)

Applying the product rule, we have:

(d/dx)(-4xln(x + 12)) = (-4)(ln(x + 12)) + (-4x)(1 / (x + 12))

Simplifying further:

= -4ln(x + 12) - 4x / (x + 12)

Therefore, the derivative of y = -4xln(x + 12) is -4ln(x + 12) - 4x / (x + 12).

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The question is -

Find the derivative of the given function.

y = -4xln(x + 12)

A. 3x / x + 12 + 3ln(x+12)

B. 3x / x + 12 - 3ln(x+12)

C. - (3x / x + 12) - 3ln(x+12)

D. - (3x / x + 12) + 4ln(x+12)

3333333 help me help me

Answers

Answer:

C is the answer thank you

Let me define a mapping T:P2(R) → M2x2(R) such that a + b + c T(ax² +bx+c) = la fb ] -b = a. Find T(v) for the polynomial yı(x) = 17 - 3x + 5x2. = b. Is this mapping a linear transformation? Justify your answer. c. Describe the kernel of this mapping.

Answers

a.  The value of T(v) for the polynomial yı(x) = 17 - 3x + 5x² is [5 -3; 1 0]

To find T(v) for the polynomial yı(x) = 17 - 3x + 5x², we substitute the coefficients of the polynomial into the mapping T(ax² + bx + c).

T(v) = T(5x² - 3x + 17)

Using the definition of the mapping T, we have:

T(v) = [5 -3; 1 0]

b. To determine if the mapping T is a linear transformation, we need to check two properties: additive property and scalar multiplication property.

Additive Property:

T(u + v) = T(u) + T(v) for all u, v in P₂(R)

Let's consider two polynomials u(x) and v(x) in P₂(R):

u(x) = a₁x² + b₁x + c₁

v(x) = a₂x² + b₂x + c₂

T(u + v) = T((a₁ + a₂)x² + (b₁ + b₂)x + (c₁ + c₂))

Expanding and applying the mapping T, we get:

T(u + v) = [(a₁ + a₂) (b₁ + b₂); (c₁ + c₂) 0]

T(u) + T(v) = [a₁ b₁; c₁ 0] + [a₂ b₂; c₂ 0] = [(a₁ + a₂) (b₁ + b₂); (c₁ + c₂) 0]

Since T(u + v) = T(u) + T(v), the additive property holds.

Scalar Multiplication Property:

T(kv) = kT(v) for all k in R and v in P₂(R)

Let's consider a scalar k and a polynomial v(x) in P₂(R):

v(x) = ax² + bx + c

T(kv) = T(k(ax² + bx + c))

Expanding and applying the mapping T, we get:

T(kv) = [ka kb; kc 0]

kT(v) = k[a b; c 0] = [ka kb; kc 0]

Since T(kv) = kT(v), the scalar multiplication property holds.

Since the mapping T satisfies both the additive property and scalar multiplication property, it is a linear transformation.

c. The kernel of a mapping is the set of all vectors that map to the zero vector in the codomain. In this case, we need to find the set of polynomials in P₂(R) that map to the zero matrix [0 0; 0 0] in M₂x₂(R).

Let's consider a polynomial v(x) in P₂(R):

v(x) = ax² + bx + c

T(v) = [a b; c 0]

To find the kernel, we need T(v) = [a b; c 0] = [0 0; 0 0]

This implies that a = b = c = 0.

Therefore, the kernel of this mapping T is the zero polynomial in P₂(R).

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find the number of Primitives to 250 find the reminders when zo is divided by 11 find the reminders when ah! divided by 37

Answers

The number of primes up to 250 is 54.

To find the number of primes up to 250, we need to check each number up to 250 to determine whether it is prime or not. A prime number is a positive integer greater than 1 that has no positive divisors other than 1 and itself.

We can use a simple algorithm to determine whether a number is prime or not. We start by checking if the number is divisible by 2. If it is divisible by 2, then it is not prime unless it is 2 itself. If the number is not divisible by 2, we check if it is divisible by any odd numbers starting from 3 up to the square root of the number.

Applying this algorithm to each number up to 250, we can count the number of primes. By doing so, we find that there are 54 prime numbers up to 250.

Therefore, the main answer is that there are 54 primes up to 250.

Note: The explanation provided assumes that by "Primitives," you meant prime numbers.

The second part of the question.

Remainder when "zo" is divided by 11:

To find the remainder when "zo" is divided by 11, we need to assign numerical values to the letters and then perform the division.

In this case, let's assign the values as follows:

z = 26

o = 15

Now, we calculate the value of "zo":

zo = 26 * 10 + 15 = 265

To find the remainder when 265 is divided by 11, we perform the division:

265 ÷ 11 = 24 remainder 1

Therefore, the remainder when "zo" is divided by 11 is 1.

Remainder when "ah!" is divided by 37:

To find the remainder when "ah!" is divided by 37, we assign numerical values to the letters and then perform the division.

In this case, let's assign the values as follows:

a = 1

h = 8

Now, we calculate the value of "ah!":

ah! = 1 * 10 + 8 = 18

To find the remainder when 18 is divided by 37, we perform the division:

18 ÷ 37 = 0 remainder 18

Therefore, the remainder when "ah!" is divided by 37 is 18.

Note: The explanation assumes that the letters in "zo" and "ah!" represent their corresponding positions in the English alphabet (e.g., a = 1, b = 2, etc.).

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Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Answers

Answer:

see explanation

Step-by-step explanation:

Since the marked angles are congruent, let them be x

(6)

The sum of the interior angles of a quadrilateral = 360°

Sum the angles and equate to 360

x + x + 120 + 90 = 360

2x + 210 = 360 ( subtract 210 from both sides )

2x = 150 ( divide both sides by 2 )

x = 75

Then ∠ X = ∠ Y = 75°

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

(7)

The sum of the interior angles of a hexagon = 720°

Sum the angles and equate to 720

x + x + 108 + 103 + 149 + 90 = 720

2x + 450 = 720 ( subtract 450 from both sides )

2x = 270 ( divide both sides by 2 )

x = 135

Then ∠ X = ∠ Y = 135°

Answer:

6) x = 75°, y = 75°7) x = 135°, y = 135°

Step-by-step explanation:

Sum of the interior angles of a regular polygon:

S(n) = 180°(n - 2), where n- number of sides Exercise 6

Quadrilateral has sum of angles:

S(4) = 180°(4 - 2) = 360°

Sum the given angles and consider x = y as marked congruent:

2x + 120° + 90° = 360° 2x + 210° = 360° 2x = 360° - 210° 2x = 150°x = 75° and y = x = 75° Exercise 7

Hexagon has sum of angles:

S(6) = 180°(6 - 2) = 720°

Sum the given angles and consider x = y as marked congruent:

2x + 108° + 103° + 149° + 90° = 720° 2x + 450° = 720° 2x = 720° - 450° 2x = 270°x = 135° and y = x = 135°

0.00871 written in scientific notation

Answers

Answer:

[tex]8.71*10^{-3}[/tex]

Step-by-step explanation:

Moving the decimal point 3 spots to the right, we get 8.71, which shows that 0.00871 is equal to 8.71*10^-3 in scientific notation

Answer:

Step-by-step explanation:

0.00871 written in scientific notation is 8.71 x 10^(-3).


hope it helps!

in regression analysis, which of the following assumptions is not true about the error term e

Answers

In regression analysis, one assumption that is not true about the error term e is that it is normally distributed.

The assumptions underlying regression analysis include:

Linearity: The relationship between the dependent variable and the independent variables is assumed to be linear.

Independence: The error terms are assumed to be independent of each other.

Homoscedasticity: The error terms have constant variance across all levels of the independent variables.

Normality: The error terms are assumed to be normally distributed.

No multicollinearity: The independent variables are not perfectly correlated with each other.

While the first four assumptions are typically considered in regression analysis, the assumption of normality for the error term e is not always true. In some cases, the error term may not follow a normal distribution. Violations of this assumption can affect the accuracy and reliability of the regression model's estimates and statistical inference. However, even if the error term is not normally distributed, regression analysis can still provide useful insights and predictions, depending on the specific circumstances and alternative methods that may be employed to address the violation.

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BRAINIEST TO WHOEVER RIGHT PLZ HELP

Answers

Answer:

a)  2.7 sec

b)  2.6 sec

c)  30.3 ft,  1.3 sec

Step-by-step explanation:

graphed the equation and determined answers from the curve

300 mm
40 cm
50 cm
2 dm
Slice of a cake

Answers

Answer:

The correct answer in each case is:

Surface area = 60 [tex]cm^{2}[/tex]Surface area = 6000 [tex]mm^{2}[/tex]Surface area = 0.006 [tex]m^{2}[/tex] Volume = 1200 [tex]cm^{3}[/tex]

Step-by-step explanation:

First, to calculate the surface area or the volume you must have all the measures in the same units, for the exercise we're gonna use centimeters and after we can replace the units in the answer if we need, then:

300 mm = 30 cm 40 cm 50 cm 2 dm = 20 cm

Now, to obtain the surface area of the triangle we're gonna use the next formula:

Surface area = (base * height) / 2

And we replace the values in centimeters:

Surface area = (30 cm * 40 cm) / 2Surface area = (120 [tex]cm^{2}[/tex]) / 2Surface area = 60 [tex]cm^{2}[/tex]

To obtain this same value now in square milimeters, you must know:

1 [tex]cm^{2}[/tex] = 100 [tex]mm^{2}[/tex]

Now, you must multiply:

60 [tex]cm^{2}[/tex] * 100 = 6000 [tex]mm^{2}[/tex]60 [tex]cm^{2}[/tex] = 6000 [tex]mm^{2}[/tex]

To obtain this value now in [tex]m^{2}[/tex], you must know:

1 [tex]m^{2}[/tex] = 10000 [tex]cm^{2}[/tex]

You must divide:

60 [tex]cm^{2}[/tex] / 10000 = 0.006 60 [tex]cm^{2}[/tex] = 0.006 [tex]m^{2}[/tex]

By last, to obtain the volume of the piece of cake, you can use the next formula:

Volume of the piece of cake: surface area * depth

And we replace the surface area in [tex]cm^{2}[/tex] because the answer must be in [tex]cm^{3}[/tex]:

Volume of the piece of cake: 60 [tex]cm^{2}[/tex] * 20 cmVolume of the piece of cake: 1200 [tex]cm^{3}[/tex]

Find the value of x. Round the length to the nearest tenth.

ANSWER: A)7.2 ft

Answers

Answer:

7.2

Step-by-step explanation:

Answer:

I dont think you realize you posted the answer...

Step-by-step explanation:

7.2

The scatter plot shows the years of experience and the amount charged per hour by each of 24 dog sitters in Ohio. Also shown is the line of best fit for the data. Fill in the blanks below. y 22 20 18 X 16 X ***** 14 - Xx X X X Amount charged 'in dollars 12 ** 10 X per hour *** Х 8 X 6 4 2 X 0 2 3 4 5 6 7 8 9 10 11 12 13 Years of experience 0 2 3 4 5 6 7 8 9 10 i 12 13 Years of experience Х $ ?. (a) For these 24 dog sitters, as experience increases, the amount charged tends to (Choose one) (b) For these 24 dog sitters, there is (Choose one) V correlation between experience and amount charged. (C) Using the line of best fit, we would predict that a dog sitter with 5 years of experience would charge approximately (Choose one)

Answers

a) For these 24 dog sitters, as experience increases, the amount charged tends to increase.

b)  For these 24 dog sitters, there is a positive correlation between experience and amount charged.

c) Using the line of best fit, we would predict that a dog sitter with 5 years of experience would charge approximately $16.5 per hour.

(a) For these 24 dog sitters, as experience increases, the amount charged tends to increase. This means that the amount charged per hour increases with an increase in years of experience for dog sitters.

(b) For these 24 dog sitters, there is a positive correlation between experience and amount charged. The points on the scatter plot show a generally upward trend, and the line of best fit is also sloping upward.

(c) Using the line of best fit, we would predict that a dog sitter with 5 years of experience would charge approximately $16.5 per hour. This can be determined by locating the point on the X-axis corresponding to 5 years of experience, and then drawing a vertical line to the line of best fit. From there, we can draw a horizontal line to the Y-axis to find the predicted amount charged per hour, which is about $16.5.

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Marilyn has 24 hair ribbons. 9 of her ribbons are red. What percent of her hair
ribbons are red?
A. 30%
B. 37.5%
C. 25%
D. 40%

Answers

37.5
9/24=0.375
Move the decimal two places and you get 37.5%

Answer:

B. 37.5

Step-by-step explanation:

100/24 = 4.1666666667

4.1666666667*9 = 37.5

2. The two figures are similar. Write the similarity statement. Consider Triangle 1 to be the pre-image and Triangle 2 to be the image (Hint: What scale factor would you multiply the side lengths of Triangle 1 by to obtain the side lengths in Triangle 2)?

Answers

Answer:

1.66666666667

Step-by-step explanation:

I have to find the scale factor of the side lengths. This would be 1.66666666667. Why? The side lengths for triangle 1 are: 40 and 50. Triangle 2's side lengths: 24 and 30. Match the lengths, and divide. 50 divided by 30=1.66666666667, and 40 divided by 24=1.66666666667, Hope this helped!

How many 1/4 cup serving are in a 6 cup container

Answers

Answer:

24

Step-by-step explanation:

6 ÷ 1/4 = 6 × 4 = 24

Answer:

24

Step-by-step explanation:

If the shaded strip diagram represents 100% then which strip diagram represents 150%​

Answers

Answer:

Your answer should be C.

Step-by-step explanation:

In order to make 150% you need a whole which represents the 100%. Which leaves B out of the question. A Is not close to half of a bar, which you can also eliminate. C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded, in this case D is 4 shaded and 2 unshaded which is wrong. So, your answer is C because there is 3 shaded and unshaded boxes in the model, hope this helps!

The diagram that represents 150%​ should be C.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

In order to make 150% we need a whole which represents the 100%. Which leaves B out of the question.

Option A Is not close to half of a bar, which we can also eliminate.

Option C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded,

In this case D is 4 shaded and 2 unshaded which is wrong.

Therefore, the answer is C because there is 3 shaded and unshaded boxes in the model.

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Three integers have a mean of 10, a median of 12 and a range of 8.

Find the three integers.

Answers

Answer:

The answers are

x=5

y=12

z=13

Step-by-step explanation:

let the numbers be x,y,z

[tex] \frac{x + y + z}{3} = 10[/tex]

[tex]y = 12[/tex]

[tex]z - x = 8[/tex]

z=8+x

x+12+x+8/3=10

2x+20/3=10

2x+20=30

2x=30-20

2x=10

divide both sides by 2

2x/2=10/2

x=5

z=8+5

z=13

Someone help what is the answer

4h + 14 > 38 =
19 points

Answers

Answer:

its in there

Step-by-step explanation:

Answer: Solve the Inequality for h

Solve for h

Graph

Convert to Interval Notation

Evaluate

Write in y=mx+b Form

Find the Exact Value

Solve the Absolute Value Inequality for h

Convert to Set Notation

Plot

Write in Slope-Intercept Form

Solve the Rational Equation for h

Simplify

Add

Solve by Factoring

Describe the Transformation

Evaluate the Summation

Find the Absolute Max and Min over the Interval

Find the Product

Convert from Degrees to Radians

Convert to a Decimal

Subtract

Find the Slope

Find the Domain and Range

Find the Derivative - d/dh

Solve Using the Square Root Property

Find the Direction Angle of the Vector

Multiply

Find the Function Rule

Convert to a Simplified Fraction

Find the Area Between the Curves

Solve the Function Operation

Solve the System of Inequalities

Solve for h in Degrees

Find Where Increasing/Decreasing

Find the Maximum/Minimum Value

Write with Rational (Fractional) Exponents

Evaluate the Limit

Find the Slope and y-intercept

Solve by Isolating the Absolute Value for h

Find All Complex Solutions

Factor over the Complex Numbers

Find the Intersection

Find the Center and Radius

Convert to Radical Form

Find the Integral

Evaluate Using Summation Formulas

Evaluate Using Scientific Notation

Simplify/Condense

Determine if Linear

Graph Using a Table of Values

Reduce

Rationalize the Denominator

Find the Union

Find the Critical Points

Solve for h in Radians

Find the x and y Intercepts

Find the Inverse

Find the Perpendicular Line

Convert from Interval to Inequality

Solve by Completing the Square

Simplify the Matrix

Maximize the Equation given the Constraints

Convert to Regular Notation

Determine if the Relation is a Function

Write in Standard Form

Convert to Trigonometric Form

Split Using Partial Fraction Decomposition

Find the Zeros by Completing the Square

Find the Prime Factorization

Find the Local Maxima and Minima

Find the Quotient

Multiply the Matrices

Factor

488, 460, 520, 544, 535
What is the range of the data?

Answers

Answer:

84

Step-by-step explanation:

To find the range, find the difference between the largest value and the smallest value.

544 - 460 = 84

this this this!!!!! can u answer​

Answers

Answer:

A= 30

B= 24.3

Step-by-step explanation:

Solve this ODE with the given initial conditions. y" + 4y' + 4y = 68(t-π) with y(0) = 0 & y'(0) = 0

Answers

The specific solution to the given ODE with the initial conditions is:

y(t) = (8.5π - 8.5t) [tex]e^{(-2t)[/tex] + 8.5(t - π)

To solve the given ordinary differential equation (ODE) with the initial conditions, we can use the method of undetermined coefficients.

The characteristic equation for the homogeneous part of the ODE is:

r² + 4r + 4 = 0

Solving this quadratic equation, we find a repeated root:

(r + 2)² = 0

r + 2 = 0

r = -2

Since we have a repeated root, the general solution to the homogeneous part is:

[tex]y_{h(t)[/tex]= (C₁ + C₂t) [tex]e^{(-2t)[/tex]

Next, we need to find a particular solution to the non-homogeneous part of the ODE. We assume a particular solution in the form:

[tex]y_{p(t)[/tex] = A(t - π)

Taking the derivatives:

[tex]y'_{p(t)[/tex]  = A

[tex]y''_{p(t)[/tex] = 0

Substituting these derivatives into the ODE:

0 + 4A + 4A(t - π) = 68(t - π)

Simplifying:

8A(t - π) = 68(t - π)

8A = 68

A = 8.5

Therefore, the particular solution is:

[tex]y_{p(t)[/tex] = 8.5(t - π)

The general solution to the ODE is the sum of the homogeneous and particular solutions:

[tex]y(t) = y_{h(t)} + y_{p(t)[/tex]

= (C₁ + C₂t) [tex]e^{(-2t)[/tex] + 8.5(t - π)

To find the values of C₁ and C₂, we apply the initial conditions:

y(0) = 0

0 = (C₁ + C₂(0)) [tex]e^{(-2(0))[/tex] + 8.5(0 - π)

0 = C₁ - 8.5π

C₁ = 8.5π

y'(0) = 0

0 = C₂ [tex]e^{(-2(0))[/tex] + 8.5

0 = C₂ + 8.5

C₂ = -8.5

Therefore, the specific solution to the given ODE with the initial conditions is:

y(t) = (8.5π - 8.5t)  + 8.5(t - π)

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What is the volume 9inches 3inches 5inches

Answers

The answer is 135 cubic inches

Which of the following numbers is the SMALLEST?
(45 points)

Answers

Answer:

pretty sure its yellow sorry if its wrong

Step-by-step explanation:

Answer:

Hi! The answer to your question is C. 9 x [tex]10^{2}[/tex]

Step-by-step explanation:

※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

Hope this helps!!

- Brooklynn Deka

Don't forget to click the add button so we can be friends ( ´・・)ノ(._.`)

Choose all that apply!!!

Answers

Answer:

56 degree and 68 degree

plz mark me as brainliest

Answer:

62°

Step-by-step explanation:

Since the triangle is isosceles then the 2 base angles are congruent.

Given there is one angle measuring 56° then it must be the vertex angle.

Thus the 2 congruent base angles are

[tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°

Other Questions
Here is a simple ODE to solve numerically from t=0 to t=40 the following ODE: dy/dt = sin(t) - 0.1 *yThe initial conditions is y=3 at t=0. You may use ode24, ode45, or other tools. Since this is a modeling exercise, you need not discuss error. A weakened form of the virus is given to a person so their immune system can build up an immunity to the virus. A.Vaccine B.violence C.Pandemic D.aggression fuels such as gasoline are nonpolar and have high potential energy because they are largely composed of A zero-coupon bond with face value $1,000 and maturity of six years sells for $745.22. a. What is its yield to maturity? (Round your answer to 2 decimal places.) Yield to maturity % b. What will the yield to maturity be if the price falls to $729? (Round your answer to 2 decimal places.) Yield to maturity % A coupon bond paying semiannual interest is reported as having an ask price of 121% of its $1,000 par value. If the last interest payment was made one month ago and the coupon rate is 7%, what is the invoice price of the bond? Assume that the month has 30 days. (Do not round intermediate calculations. Round your answer to 2 decimal places.) You buy a ten-year bond that has a 7.50% current yield and a 7.50% coupon (paid annually). In one year, promised yields to maturity have risen to 8.50%. What is your holding-period return? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Holding-period return % We are making two fruit drinks, Red berry (R) and Green Mush (GM). The drinks contain a combination of cherry juice (C), cranberry juice (CB) and avocado (A). Red Berry sells for $9 a gallon and Green Mush sells for $11 a gallon. We need at least 100 gallons of red berry and 50 gallons of green mush. Cherry juice contains 400 units vitamin C per gallon, cranberry juice contains 350 units of vitamin C per gallon and avocado contains 200 units of vitamin C. Cherry juice costs $2 per gallon, cranberry juice $1.50, and avocado costs $5. Red Berry must contain at least 325 units of vitamin C per gallon. Green Mush must contain a minimum of 150 units of vitamin C. We have 50 gallons of cherry juice, 70 gallons of cranberry juice and unlimited supply of avocado juice.The objective function isOne decimal place examples 4.0 or 4.1Z =______________ XC,RB+_______________XCB,RB+________________XA,RB+________________XC,GM+_________________XCB,GM+___________________XA,GMThe constrint for minimum vitamin C for Red Berry isNo decimal places example 4 negatives as -4 not parenthesis______________ XC,RB+_______________XCB,RB+________________XA,RB+0XC,GM+0XCB,GM+0XA,GM The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer. All of the following functions occur in the stomach in the presence of protein, EXCEPT: (a)G-cells secrete gastrin (b)Chief cells secrete pepsin (c)enteric neuron is activated (d)All the answers are true (e)Parietal cells secrete H natio Consider a particle in a one-dimensional box. a. For a box of length 1 nm, what is the probability of finding the particle within 0.01 nm of the center of the box for the lowest-energy level? b. Answer part (a) for the first excited state. c. The longest-wavelength transition for a particle in a box (not the box in part (a)] is 200 nm. What is the wavelength if the mass of the particle is doubled? What is the wavelength if the charge of the particle is doubled? What is the wavelength if the length of the box is doubled? 1) When considering the impact of external economies of scale on trade, we should expect that they would lead to:A) an expansion of trade because more firms would be supported in the relevant industry, and this would be conducive to more trade globally.B) higher prices for the exporting country because this country could take advantage of its comparative advantage and reap at least some of the benefits from this advantage.C) trade dominance by the country best able to utilise these economies.D) a collapse of trade because they would drive prices so low that no firms would be able to make any profit.E) none of the above. How many cups are in 20 gallons? AND how do I show my work for that?correct=brainliest A 64.0 cm long cord is vibrating in such a manner that it forms a standing wave with two antinodes. (The cord is fixed at both ends.) Which harmonic does this wave represent Assume today is December 31, 2019. Imagine Works Inc. just paid a dividend of $1.25 per share at the end of 2019. The dividend is expected to grow at 15% per year for 3 years, after which time it is expected to grow at a constant rate of 6% annually. The company's cost of equity (rs) is 9.5%. Using the dividend growth model (allowing for nonconstant growth), what should be the price of the company's stock today (December 31, 2019) Steam enters an inclined pipe with an elevation change of +71 m operating at steady state with a specific enthalpy of 2744 kJ/kg and a mass flow rate of 3 kg/s. Assuming there is no significant change in kinetic energy from inlet to exit, and the rate of heat transfer from the surrounding to steam is 696 kW, what is the specific enthalpy at the exit of the pipe? Write and solve an equation to find the missing dimension of the figure. (WILL GIVE BRAINLYSSS) Find ECDE-DC31AB if people are constantly moving through an area, then the area is considered to be Dude, I just need help on this work sheet like sheeeeshhh, tyty, not sure if this is how it works but yknow. When people have access to more technology, they tend toA.work less and spend more.B.spend less and work more.C.work more productively.D.get laid off more quickly.E.have lower-paying jobs A tariff on foreign goods is to Alexander Hamilton As a belief in neutrality is to The area of a circular rose garden is 88square meters.What is the radius of the garden?