Angle? Line? Line segment? Point?Ray?

Answer:

c

Step-by-step explanation:

The deviation from the mean for the data point 27 in a data set with mean 30 is -3.

In mathematics, the deviation from the mean of a data set is a measure of the distance between each data point and the mean. It is obtained by subtracting the mean from the data point. In this case, the mean of the data set is given as 30. To find the deviation from the mean for the data point 27, you simply subtract 30 (the mean) from 27 (the data point).

So 27 - 30 = -3

This means the deviation from the mean for the data point 27 is -3 which corresponds to option b.

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a) 17.5a + 15.5p = t

b) Total mass of the shipment is 1195.5kg

Step-by-step explanation:

Mass of 1 box of apple= 17.5kg

Mass of 1 box of pears = 15.5kg

a) expression for getting total mass:

Let the no. of boxes of apple be 'a'

Let the no. of boxes of pears be 'p'

Let the total mass be 't'

17.5a + 15.5p = t

b) a = 32

p = 41

17.5a + 15.5p = t

17.5(32) + 15.5(41)  = t

560 + 635.5 =t

1195.5 = t

Total mass of the shipment is 1195.5kg

Answer:

The answer is C) 14in.

Step-by-step explanation:

this is very easy, you just gotta do this, then that, then this, blablablabla you will get 100%

The radius of the hexagon with an apothem of 12 in is 14 inches.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

The angles of a hexagon measure 60 degrees each, since it is bisected, the angle becomes 30 degrees.

Let c represent the radius of the hexagon, hence:

cos(30) = 12/c

c = 14 in

The radius of the hexagon with an apothem of 12 in is 14 inches.

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Answer: 16y- 2xy

Step-by-step explanation:

Answer:

Step-by-step explanation:

so you take the eight and round it so then it makes a zero and the 4 becomes a 5

Answer:

320

Step-by-step explanation:

320

As your rounding to the ten place if your number is above five you round up if its below you round down.

The average rate of change of the function g(x) = x^2 + 10x + 23 over the interval -8 < x < -4 is -0.5.

To determine the average rate of change for the function g(x) = x^2 + 10x + 23 over the interval -8 < x < -4, we first plug these x-values into the function to find the corresponding y-values:

G(-8) = (-8)^2+ 10*(-8) + 23 = 9

G(-4) = (-4)^2+ 10*(-4) + 23 = 7.

The average rate of change will then be the change in y-values divided by the change in x-values, so:

Average Rate of Change = [G(-4) - G(-8)]/[-4 - (-8)] = (7 - 9)/(-4 - (-8)) = -2/4 = -0.5.

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Answer:

18h

Step-by-step explanation:

Answer: Option C

We will factor 16 so that the sum of the factors is 8.

Such factors are 4 and 4.

So the factorization of the given expression is:

[tex]y^2+8y+16\\=y^2+4y+4y+16\\=y(y+4)+4(y+4)\\=(y+4)(y+4)\\=(y+4)^2[/tex]

So the given trinomial is a perfect square trinomial.

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Answer:

3,467,700 excluding years studying

Step-by-step explanation:

Every year the Surgeon makes $115,590 more than the Pharmacist (230,540-114,950)

$115,590 * 30 = $3,467,700

The surgeon makes $9,900,000 more in lifetime income than the pharmacist over a working period of 30 years.

To answer the question about how much more money a surgeon makes in lifetime income compared to a pharmacist, we first need to understand the potential earnings of both professions over a 30-year working period.

Step 1: Define Earnings for Each Profession

Let's assume:

Step 2: Calculate Lifetime Income

For the Surgeon:

For the Pharmacist:

Step 3: Calculate the Difference in Lifetime Income

To find out how much more the surgeon makes compared to the pharmacist, we subtract the pharmacist's total income from the surgeon's total income:

Conclusion

In conclusion, the surgeon makes $9,900,000 more in lifetime income than the pharmacist over a working period of 30 years.

Final answer:

To find the equivalent equation for the monthly growth of the wildflowers, we need to convert the yearly growth rate to a monthly growth rate. The monthly growth rate is the 12th root of the yearly growth rate. The equivalent equation is Y=1000((1.08)^(1/12))^mx.

Explanation:

To find an equivalent equation that represents the monthly growth of the wildflowers, we need to convert the yearly growth rate into a monthly growth rate. Since there are 12 months in a year, the monthly growth rate is the 12th root of the yearly growth rate.

Given the equation Y = 1000(1.08)^x, where x represents the number of years, the equivalent equation for the monthly growth rate is Y = 1000((1.08)^(1/12))^mx.

Here, a = 12, b = 1/12, c = 1.08, and d = m.

The value we get are :

a = 1000

b = 1.00692

c = 0

d = 0

The given equation, Y=1000(1.08)^x, represents the yearly growth of wildflowers, where:

Y is the number of wildflowers in year x.

1000 is the initial number of wildflowers (at year x=0).

1.08 represents the yearly growth factor (8% increase).

x is the year number.

To find the equivalent equation for monthly growth, we need to consider that there are 12 months in a year. This means the yearly growth factor can be further divided into monthly growth factors.

Divide the exponent by the number of months:

In the yearly equation, the exponent x represents the year number. To represent months, we need to divide x by 12 (number of months in a year).

The new equation becomes: Y = 1000 * (1.08)^(x/12).

Apply the power of a power property:

(a^b)^c = a^(b*c). In this case, a = 1.08, b = 1/12, and c = x.

The equation becomes: Y = 1000 * ((1.08)^(1/12))^x.

Simplify the equation:

Calculate (1.08)^(1/12) using a calculator. This value is approximately 1.00692 (rounded to nearest thousandth).

Substitute this value back into the equation: Y = 1000 * (1.00692)^x.

Therefore, the equivalent equation representing the monthly growth of wildflowers is:

Y = 1000 * (1.00692)^x

Values of a, b, c, and d:

a = 1000 (initial number of wildflowers)

b = 1.00692 (monthly growth factor)

c = 0 (no x term in the exponent)

d = 0 (no constant term)

Question:

Some studies find that the yearly growth rate of a certain wildflower can be modeled by the equation Y=1000(1.08)^x. Use the properties of exponents to show an equivalent equation that represents the monthly growth of the wildflowers. Find the values of a, b, c, and d. Round to the nearest thousandth as needed.

Final Answer:

After 5 years, the account balance would be approximately $11,541.20.

Explanation:

To calculate the account balance for a certificate of deposit that has an initial amount of $10,000.00, with an annual interest rate of 2.89% compounded monthly over 5 years, we must use the compound interest formula:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

where:
- A is the amount of money accumulated after t years, including interest.
- P is the principal amount, which is the initial amount of money ($10,000.00 in this case).
- r is the annual interest rate in decimal form (2.89% or 0.0289 in this case).
- n is the number of times that interest is compounded per year (12 times per year for monthly compounding).
- t is the time the money is invested for, in years (5 years in this case).

Firstly, we convert the annual interest rate from a percentage to a decimal by dividing by 100:

r = 2.89% = 0.0289

Now we substitute the given values into the formula:

[tex]\[ A = \$10,000.00 \left(1 + \frac{0.0289}{12}\right)^{12 \cdot 5} \][/tex]

We calculate the rate per period by dividing the annual interest rate by the number of compounding periods per year:

[tex]\[ \frac{0.0289}{12} = 0.00240833 \][/tex] (rounded to 8 decimal places for precision)

Now calculate the growth factor:

[tex]\[ \left(1 + \frac{0.0289}{12}\right) = 1 + 0.00240833 = 1.00240833 \][/tex]

This growth factor is raised to the power of 60 (since there are 12 months in a year and we are compounding for 5 years):

[tex]\[ (1.00240833)^{60} \][/tex]

Using a calculator, raise 1.00240833 to the power of 60 to get approximately:

[tex]\[ 1.00240833^{60} \approx 1.15412 \][/tex](rounded to 5 decimal places for simplicity)

Finally, multiply this result by the principal amount to find the accumulated amount:

[tex]\[ A = \$10,000.00 \times 1.15412 \approx \$11,541.20 \][/tex]

Therefore, after 5 years, the account balance would be approximately $11,541.20.

Step-by-step explanation:

Slope of this equation is 3

Answer:

Slope = 3

Step-by-step explanation:

[tex]y = - 1 + 3x \\ y = 3x - 1 \\ equating \: it \: with \\ y = mx + b \\ \huge \red{ \boxed{slope \: (m) = 3 }}\\ [/tex]

Answer: The flagpole is 75.6 feet (approximately)

Step-by-step explanation: Please refer to the picture attached.

The man is at point C and the base of the building is point B, and he looks up at an angle of elevation of 60 degrees to the bottom of the flagpole. Note that the flagpole is attached to the top of the edge of the building which is point A. Also he looks up at an angle of elevation of 62.5 degrees to the top of the flagpole which is point A.

If his distance from the base of the building is 400 feet (line BC), then we would start by calculating the height of the building plus the flagpole (line FB) and then the height of the building itself (line AB) and the difference between both would be the height of the flagpole (line FA).

We shall use the trigonometric ratios as follows;

In triangle FBC,

Tan C = opposite/adjacent

Tan 62.5 = FB/400

Tan 62.5 x 400 = FB

1.9209 x 400 = FB

768.36 = FB

Also in triangle ABC,

Tan C = opposite/adjacent

Tan 60 = AB/400

Tan 60 x 400 = AB

1.732 x 400 = AB

692.8 = AB

The height of the vertical flagpole can be derived as

FA = FB - AB

FA = 768.36 - 692.8

FA = 75.56

FA ≈ 75.6

Therefore the height of the flagpole is 75.6 feet (approximately)

The height of the flagpole is required to be found with the given angles of elevation.

The height of the flagpole is 75.6 feet.

From trigonometric ratios

[tex]\tan60=\dfrac{BD}{BC}\\\Rightarrow BD=BC\tan60\\\Rightarrow BD=400\tan60[/tex]

[tex]\tan62.5=\dfrac{AB}{BC}\\\Rightarrow AB=BC\tan62.5\\\Rightarrow AB=400\tan62.5[/tex]

So,

[tex]AD=AB-BD\\\Rightarrow AD=400(\tan62.5-\tan60)\\\Rightarrow AD=75.6\ \text{feet}[/tex]

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Answer:

Standard Form: 4x-1x^3-5x^2.

Answer:

[tex]4x + {x}^{3} - 5 {x}^{2} [/tex]

Step-by-step explanation:

[tex]4x - 3 {x}^{3} + 2 {x}^{3} - 5 {x}^{2} \\ = 4x + {x}^{3} - 5 {x}^{2} [/tex]

Answer:

75π [tex]m^{2}[/tex]  ≈  235.62 [tex]m^{2}[/tex]

Step-by-step explanation:

R represents the radius of the lawn

r represents the area of the circular bed

So,

Area of the remaining lawn, A = area of the lawn - area of the circular flower bed

A = πR^2 - π^2

A = π(R^2 - r^2)

A = π(10^2 - 5^2)

A = π( 100 - 25)

A = 75π  [tex]m^{2}[/tex]  ≈   235.62[tex]m^{2}[/tex]

Answer:

The answer is B.

Step-by-step explanation:

All other answers are irrational

Answer:

see explanation

Step-by-step explanation:

The inscribed angle ABD is on half the central angle ACD, that is

∠ ABD = 0. × 50° = 25°

The measure of arc AD is equal to the central angle it subtends, thus

arc AD = 50°

1. The measure of inscribed angle [tex]\( \angle ABD \)[/tex] is 25 degrees. 2. The measure of arc [tex]\( AD \)[/tex] is 50 degrees.

To solve this problem, we need to understand the relationship between central angles, arcs, and inscribed angles in a circle.

1. Measure of Arc AD:

The measure of an arc created by a central angle in a circle is equal to the measure of the central angle itself. Given that the central angle [tex]\( \angle ACD \)[/tex] is 50 degrees, the measure of arc [tex]\( AD \)[/tex] is also 50 degrees.

[tex]\[ \text{Measure of arc } AD = 50^\circ \][/tex]

2. Measure of Inscribed Angle ABD:

An inscribed angle that intercepts the same arc as a central angle will have a measure that is half the measure of the central angle. In this case, the inscribed angle [tex]\( \angle ABD \)[/tex] intercepts arc [tex]\( AD \)[/tex], which has a measure of 50 degrees.

[tex]\[ \text{Measure of } \angle ABD = \frac{1}{2} \times \text{Measure of arc } AD = \frac{1}{2} \times 50^\circ = 25^\circ \][/tex]

The complete question is:

Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?

1. [tex]\( \angle ABD \)[/tex] = ______.

2. arc [tex]\( AD \)[/tex] = ______.

Answer:

3)a. (80 km/hour)(6 hours) = 480 km

b. 480 km/5 hours = 96 km/hour

In a coordinate plane, the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

A line has a slope of Negative one-half and a y-intercept of –2.

m = – 1/2

c = – 2

The equation of line will be

                y = –(1/2)x – 2

1/2x + y + 2 = 0

  x + 2y + 4 = 0

For the x-intercept, the value of y will be zero.

x + 2y + 4 = 0

Put x = 0, then the value of y will be

x + 2(0) + 4 = 0

         x + 4 = 0

               x = –4

Then the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).

The equation of the line is drawn in the graph.

It can be clearly observed the line intersect at (-4, 0) and (0, -2).

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Answer:

-4 is the answer

Step-by-step explanation:

Answer:

C) translate horizontally 5 units left

Step-by-step explanation:

f(x + 5)

Is a change in domain

The graph of f(x) is shifted 5 units towards the left to obtain the graph of f(x+5)

Answer:

C

Step-by-step explanation:

When we only change the x part of the function (that is, we add, subtract, multiply, or divide something in relation to the x part of f(x)), that is called a horizontal transformation. When we change the entire function, that's a vertical transformation.

In this case, because we are only changing the x (we turn f(x) into f(x + 5)), this is a horizontal transformation. One thing to note about horizontal transformations is that they are "backwards", which means that if we add to the x, we actually move the graph in the negative direction (which is to the left), whereas if we subtract from x, we move the graph in the positive direction (which is to the right).

Here, we're adding 5 to x, which we know means that we are translating the graph of f(x) horizontally to the left 5 units.

Thus, the answer is C.

Hope this helps!

Answer:

B

Step-by-step explanation:

Count from the y-intercept to the next natural point. 2 up and then 3 across

Answer:

Anthony has $2.10

Step-by-step explanation:

If Maria has 6 nickels and one has 15 more nickels than Maria, one has a total of 21 nickels. Since Anthony has twice the amount of nickels as One, you would multiply 21 by 2 to get a total of 42. It takes 20 nickels to make a dollar. If you divide 42 by 20 you get 2.1, which is equivaldnt to $2.10

Answer:

THE ANSWER IS A. I HAD THE SAME QUESTION

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

c)   (-∞, -4] or [7,∞)

Step-by-step explanation:

x² - 3x - 28 ≥ 0

x² - 7x + 4x -28 ≥ 0

x (x - 7) + 4(x - 7) ≥ 0

(x-7) (x + 4) ≥ 0

When x value lies in (-∞, -4],  (x-7)  value will be negative and (x+ 4) will be negative. So, result will be positive

When x value lies in [7,∞),  both (x-7)  and (x+ 4) will be positive. So, result will be positive

Answer:

C(3,3)

Step-by-step explanation:

Answer:

50+60h = 470

Step-by-step explanation:

50 is the constant as she charges a base fee.

"For each" => price varies => "varies" => variable => x

50+60h = 470.

Answer:

B

Step-by-step explanation:

count how many x^2 there are because they would tell you what your answer is.

Answer: Its B.

Step-by-step explanation:

Ther are 6 x2. So it is (6x2+2x)

There are also 6 Xs so it's (6x+2)