Find the value of x in the figure

Answer:

31m + 21n

Step-by-step explanation:

Answer:

31m + 23n which is D

Step-by-step explanation:

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.

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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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.

Answer:

Step-by-step explanation:true

Answer:

True

Step-by-step explanation:

Yes, this is in standard form

Answer:

Option-C=> 62.5%

Step-by-step explanation:

Given that the area where apple is grown: 25 acres

Total area of cultivation:40 acres

Percentage ={ (Area where apple is grown / Total area of cultivation) ×100

=>(25/40)×100

=>(25/4)×10

=>62.5%

∴The percentage of the trees are within the orchard area is : 62.5%

MARK AS BRAINLIEST

The theoretical probability of selecting a tree within the acres of apple trees is 62.5%.

To find the probability of selecting a tree within the acres of apple trees, we need to consider the proportion of apple trees to the total number of trees in the orchard.

The total area of the orchard is 40 acres, and the area dedicated to apple trees is 25 acres. Since the trees are equally distributed within the orchard, the proportion of apple trees to the total number of trees is:

[tex]\[ \text{Proportion of apple trees} = \frac{\text{Area of apple trees}}{\text{Total area of orchard}} \][/tex]

[tex]\[ \text{Proportion of apple trees} = \frac{25}{40} = 0.625 \][/tex]

To convert this proportion to a percentage, we multiply by 100:

[tex]\[ \text{Probability} = 0.625 \times 100\% = 62.5\% \][/tex]

Rounded to the nearest tenth of a percent, the theoretical probability of selecting a tree within the acres of apple trees is 62.5%. Therefore, the correct answer is: 62.5%

Answer:

The statement (9−8)2+(0−6)2≠(9−10)2+(0+7)2 is a true statement, so P is not on ⨀C.

Step-by-step explanation:

just did the test

Answer: 16y- 2xy

Step-by-step explanation:

Answer:

Horizontal shift to the right

Vertical compression

Reflection across the x axis

Vertical shift up

Step-by-step explanation:

Given that the parent function was [tex]g(x)=x^2[/tex]

we notice the following transformations:

a) a horizontal shift to the right in 1 (one) unit rendering: [tex]g(x)=(x-1)^2[/tex]

b) a vertical compression by multiplying our function by a number smaller than 1 ( [tex]\frac{1}{5}[/tex] ), rendering: [tex]g(x)=\frac{1}{5} (x-1)^2[/tex]

c) a reflection across the x-axis by flipping the sign of the function and rendering: [tex]g(x)=-\frac{1}{5} (x-1)^2[/tex]

d) a vertical shift of 7 units up thus giving finally: [tex]g(x)=-\frac{1}{5} (x-1)^2+7[/tex]

The parent function f(x) = x² has undergone a reflection across the x-axis, a vertical compression, a horizontal shift right, and a vertical shift up to transform into g(x) = -1/5(x - 1)² + 7.

The student asked about the transformations that turned the parent function f(x) = x² into g(x) = -1/5(x - 1)² + 7. Examining the function g(x), we can identify several transformations:

Considering these observations, the correct transformations from the provided options are f, e, h, and a.

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:

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

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

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)

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:

Exponential

Step-by-step explanation:

So let’s start off by looking at how much x is growing by each time

X is growing by 8 each time

Next look at how much y is growing by

-6 to -24 is a difference of 18

-24 to -96 is a difference of 72

And lastly -96 to -384 is a difference of 288

So we can now say that it is not linear because a linear equation grows by a constant number (like adding)

To determine if it is exponential see if it is growing by a constant multiplier

24 divided by 6 is 4

96 divided by 24 is 4

384 divided by 96 is 4

It is exponentially growing by 4

The experimental probability of spinning a green is 5/10 or 0.5, which means there's a 50% chance of landing on green based on Samantha's 10 trials.

The question is about determining the experimental probability of spinning a green on a spinner used in an experiment. Experimental probability is calculated as the ratio of the number of times an event occurs to the total number of trials. In Samantha's case, she spun the spinner 10 times and landed on green 5 times. Thus, the experimental probability of spinning a green is calculated as follows:

Number of times green was spun: 5

Total number of spins (trials): 10

Experimental Probability of green: 5/10 or 0.5 (50%)

Experimental probability differs from theoretical probability as it is based on actual results from an experiment, rather than calculated from a theoretical perspective without actual trials.

The experimental probability of spinning green is 0.5 or 50%, calculated by dividing the number of green outcomes (5) by the total number of trials (10).

The student is asking about the experimental probability of spinning a green on a spinner after conducting an experiment for 10 trials. The results of the experiment were Blue-0, Red-1, Yellow-4, and Green-5. To find the experimental probability, we need to divide the number of times green occurred (favorable outcomes) by the total number of spins (total trials).

The experimental probability of spinning a green is calculated as follows:

Number of favorable outcomes (spinning green) = 5

Total number of trials = 10

Experimental probability of green = Number of favorable outcomes / Total number of trials

Experimental probability of green = 5 / 10 = 0.5 or 50%

Therefore, the experimental probability of spinning a green is 0.5 or 50%.

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]

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:

55

Step-by-step explanation:

You got 57 points on your math quiz.

To find out how many points you got on the math quiz, we need to calculate 95% of the total points the quiz was out of. The quiz was out of 60 points.

First, we convert the percentage score to a decimal by dividing by 100:

[tex]\[ 95\% = \frac{95}{100} = 0.95 \][/tex]

Next, we multiply the decimal score by the total points to find out the number of points obtained:

[tex]\[ 0.95 \times 60 = 57 \][/tex]

So, you got 57 points on your math quiz.

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:sin(20)= LN/8

And COS(70)=LN/8

Step-by-step explanation:

The length of LN by the trigonometric relations are

a) sin ( 20 )° = LN / 8

b) cos ( 70 )° = LN / 8

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented by ΔLMN

where the measure of ∠LMN = 20°

The measure of ∠NLM = 70°

And , the triangle is right at ∠LNM = 90°

The measure of hypotenuse LM = 8 units

From the trigonometric relations

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

So , sin ( 20 )° = LN / 8

cos ( 70 )° = LN / 8

Hence , the trigonometric relations are solved

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The complete question is attached below :

What are the correct trigonometric ratios that could be used to determine the length of LN? Check all that apply.

Sin(20°)=LN/8.

Cos(70°)=8/LN .

Tan(70°)=LN/MN .

Sin(20°)=8/LN .

Cos(70°)= LN/8

Look at the attached picture⤴

Hope it will help u...

Answer:

4x^3 + 7z - 20x + 524.

Step-by-step explanation:

(4x3 + 7z– 9x – 3) - (-523 + 11x – 4)

4x3 + 7z– 9x – 3 - (-523 + 11x – 4)     Distribute the negative over the parentheses:

=  4x3 + 7z– 9x – 3 + 523 - 11x + 4

= 4x3 + 7z– 9x - 11x– 3 + 523 - 4

= 4x^3 + 7z - 20x + 524.

Answer:

5/2 Hope this helped

Step-by-step explanation:

Answer:

THE ANSWER IS A. I HAD THE SAME QUESTION

Step-by-step explanation:

Answer:

I think its A

Step-by-step explanation:

Answer:its B and F

Step-by-step explanation:

The graph has a closed circle at 4. & The arrow points right.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Teams must win at least 25 games.

So far, the volleyball team has won 21.

now, we can Consider the provided inequality:

25≤21+x

i.e. 4≤x

we get,

Use an closed circle for the sign ≤

so, we get,

The graph has a closed circle at 4. & The arrow points right.

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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

n=5

[tex]a5 = 4 + {( - 1)}^{5} = 4 - 1 = 3[/tex]

Answer:

3

Step-by-step explanation:

[tex]a_{5}=4+(-1)^5=4-1=3[/tex]

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:

18h

Step-by-step explanation:

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 answer is B.

Step-by-step explanation:

All other answers are irrational