I need help please match the careers with the career clusters!!!

I Need Help Please Match The Careers With The Career Clusters!!!

Answers

Answer 1
Final answer:

Career clusters are groups of related careers. In the example given, careers in biological sciences like microbiologist, ecologist, neurologist, and forensic scientist form one cluster, while allied health professions such as medical technician, medical examiner, and neurophysiologist form another. Matching careers to clusters involves identifying commonalities such as educational requirements, tasks, and industry.

Explanation:

It looks like you are trying to match careers with specific career clusters. Career clusters represent a group of careers that share common features. If we consider biological sciences, we'd have a cluster including careers such as a microbiologist, ecologist, neurologist, and forensic scientist. These professions are heavily involved in studying living organisms and their environments.

On the other hand, if we consider allied health, this would be another cluster including careers like medical technician, medical examiner, and neurophysiologist. These professions are more orientated towards applied sciences in healthcare.

I hope this helps you understand how to match careers with their respective career clusters. A good approach is to identify commonalities between various jobs such as their educational requirements, day-to-day tasks, and the industry they belong to.

Learn more about Career Clusters here:

https://brainly.com/question/38584022

#SPJ12


Related Questions

50 POINTS WILL GIVE BRANLIEST - Can a function be both increasing and decreasing?

Answers

Answer:

i think yes it can

Step-by-step explanation:

Answer:

every function is vacuuously both increasing and decreasing at every point because there are no x<y in the "interval" than for all (all zeor of them) x<y we have f(x)≤f(y).

Step-by-step explanation:

7 chickens lay 35 eggs how many eggs will be laid by 40 chickens​

Answers

Answer:

8

Step-by-step explanation:

By fives go up 1 number for eggs

Estimate the size of a crowd walking in a charity fundraising march that occupies a rectangular space with dimensions of 10 feet by 1,200 feet (to the nearest whole number). Assume that 40 people occupy a rectangle measuring 10 feet by 12 feet.

Answers

Answer:

4000 is size of a crowd walking in a charity fundraising March.

Step-by-step explanation:

Given:

Dimensions of rectangular space 10 feet by 12000 feet

So we can say that,

Length = 1200 ft

Width = 10 ft

Now we will calculate the area of rectangular space which is given by

Hence Area will be = [tex]length\times width= 10\ ft \times 1200 \ ft= 12000 \ ft^2[/tex]

Now we know that 40 people occupy a rectangle measuring 10 feet by 12 feet.

Length = 12 ft

Width = 10 ft

Area = [tex]length\times width= 10\ ft \times 12 \ ft= 120 \ ft^2[/tex]

It says that 40 people are occupied in 120 [tex]ft^2[/tex]

So how many people will be there in 12000 [tex]ft^2[/tex]

By using unitary method we get,

Number of people = [tex]\frac{40\times 12000 \ ft^2}{120 \ ft^2} = 4000 \ peoples[/tex]

Size of a crowd walking in a charity fundraising March is 4000.

Answer:

4,000 people

Step-by-step explanation:

49 people occupy 120 ft^2

Dimensions of crowd: 10×1,200=12,000

120 ft^2/40 people = 12,000 ft^2/x people

X=4,000

What is the value of x in the equation 5 - 3x = -7 ?

Answers

The value of x in the equation 5 - 3x = - 7 is 4.

The simple algebraic expression consists of numbers and variables. The objective is to determine the value of x in this expression.

From the given information;

5 - 3x = - 7-3x = -7 - 5-3x = -12

Multiply both sides by (-)

3x = 12

Divide both sides by 3

[tex]\mathbf{\dfrac{3x}{3} = \dfrac{12}{3}}[/tex]

x = 4

Therefore, the value of x  in the equation 5 - 3x = -7 is 4.

Learn more about algebraic expressions here;

https://brainly.com/question/11227332?referrer=searchResults

Final answer:

The value of x in the equation 5 - 3x = -7 is found to be x = 4 after isolating x through subtraction and division.

Explanation:

To solve the equation 5 - 3x = -7, we need to isolate x. Let's move through the steps together:

Subtract 5 from both sides of the equation to get: -3x = -7 - 5.Simplify the right side of the equation: -3x = -12.Divide both sides of the equation by -3 to isolate x: x = -12 / -3.Therefore, x = 4.

The value of x in the equation is 4.

What is the area of the triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?

Answers

Answer:

9.63

Step-by-step explanation:

write an equation in point slope form (4,2) m=7

Answers

Answer:

y=7x-26

Step-by-step explanation:

The circumference of a circle is 15 ft. What is the length of the radius? Use 3.14 for π. Round your answer to the nearest tenth of a foot.

Answers

Answer:

The radius of the circle is 2.4ft

Step-by-step explanation:

circumference of circle = 2πr

circumference = 15ft

2πr = 15

(2×3.14)r = 15

6.28r = 15

r = 2.4ft (near. tenth)

Answer:

The answer is 2.4 ft.

Step-by-step explanation:

C= 2πr

15= 2(3.14)r

15= 6.28r

15÷6.28= 6.28r÷ 6.28

2.4= r

sec squared 55 - tan squared 55

Answers

Answer:

sec squared 55 – tan squared 55  = 1

Explanation:

Given, sec square 55 – tan squared 55

We know that,

[tex]\sec \Theta=\frac{\text {hypotenuse}}{\text {base}}[/tex]

And,

[tex]\tan \theta=\frac{\text { perpendicular }}{\text { base }}[/tex]

where Ө is the angle

Substituting the values

[tex]\left(\frac{\text {hypotenuse}}{\text {base}}\right)^{2}-\left(\frac{\text { perpendicular }}{\text {base}}\right)^{2}[/tex]

Solving,

[tex]\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}[/tex]

According to Pythagoras theorem,

[tex]\text { (hypotenuse) }^{2}-\text { (perpendicular) }^{2}=(\text { base })^{2}[/tex]

Putting this in the equation;

squared 55 - tan squared 55 =

[tex]\frac{(\text {hypotenuse})^{2}-(\text {perpendicular})^{2}}{(\text {base}) *(\text {base})}=\frac{(\text {base})^{2}}{(\text {base}) *(\text {base})}=1[/tex]

Therefore, sec squared 55 – tan squared 55 = 1

The value is always 1.

To solve the expression sec²(55°) - tan²(55°), we can use a trigonometric identity. Recall the Pythagorean identity for tangent and secant:

sec²(θ) - tan²(θ) = 1

Using this identity, we substitute θ with 55°:

sec²(55°) - tan²(55°) = 1

This simplifies our expression immediately, as the value is always 1 regardless of the angle, as long as the identity holds.

So, sec²(55°) - tan²(55°) = 1.

why did Gyro go into a bakery​

Answers

Picture is posted as and attachnent

We can see here that the reason Gyro went into a bakery was For The Smell Of It.

What is bakery?

A bakery is a place where baked goods, such as bread, pastries, cakes, cookies, pies, and other related items, are produced and sold. It is an establishment where baking and the preparation of baked products take place.

Bakeries play a significant role in providing staple food items and indulgent treats, and they contribute to culinary traditions and cultures worldwide. They vary in size and style, ranging from small neighborhood bakeries to larger commercial or industrial operations.

Learn more about bakery on https://brainly.com/question/17405871

#SPJ2

One batch of cookies requires the following ingredients:

2 1/3 cups of flour
3/4 of a cup of chocolate chips
2/5 of a cup of chopped almonds
1 1/2 cups of brown sugar
3/8 of a cup of white sugar
1/2 of a teaspoon of salt

Eric wishes to triple the recipe. How much of each ingredients should he use? Select all that apply

A) 6 1/3 cups of flour
B) 1/6 of a teaspoon of salt
C) 1 1/8 cups of white sugar
D) 9/12 cup of chocolate chips
E) 6/5 cups of chopped almonds
F) 2 1/2 cups of brown sugar

Answers

Answer:

it saids all that apply its A and what ????

Step-by-step explanation:

The correct options are:

(A) 6 (1/3) cup of flour

(E) 6/5 cups of chopped almonds.

Step-by-step explanation:

Given information:

One batch of cookies requires the ingredients:

2 (1/3) cup of flour.

3/4 of a cup of chocolate chips

2/5 of a cup of chopped almonds

1 (1/2) cup of brown sugar

3/8 of a cup of white sugar

1/2 of teaspoon of salt

Now if Eric wishes to triple the recipe, He needs to triple all the ingredients.

So the new list of ingredients will be triple of pervious one.

That will be:

6 (1/3) cup of flour

3 (3/4) cup of chocolate chips

3 (2/5) cup of chopped almonds

3 (1/2) cup of brown sugar

3 (3/8) cup of white sugar

3 (1/2) tea spoon of salt

So the correct options are:

(A) 6 (1/3) cup of flour

(E) 6/5 cups of chopped almonds.

For more information visit:

https://brainly.com/question/12017228?referrer=searchResults

find the value of a and b

a^2 + b^2 = 400

Answers

Answer:

Step-by-step explanation:

a^2+b^2=400

a^2=400-b^2

a=sqrt(400-b^2) & -sqrt(400-b^2)

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

b^2=400-a^2

b=sqrt(400-a^2) & -sqrt(400-a^2)

Answer:

20

Step-by-step explanation:

Question 5 - Give your answer in its simplest form

Answers

Answer:

7.5 cm²

Step-by-step explanation:

Note that [tex]\sqrt{120}[/tex] = [tex]\sqrt{4(30)}[/tex] = 2[tex]\sqrt{30}[/tex]

Thus the side s of the square = 2[tex]\sqrt{30}[/tex] ÷ 4 = 0.5[tex]\sqrt{30}[/tex]

Hence

A = s² = (0.5[tex]\sqrt{30}[/tex])² = 0.25 × 30 = 7.5

50 points! A polynomial has been factored below, but some constants are missing. 2x^3 - 8x^2 - 24x = ax (x+b)(x+c) What are the missing values of a, b, and c?

Answers

The missing values are [tex]\( a = 2 \), \( b = 0 \), and \( c = -24 \),[/tex] yielding the factored form [tex]\( 2x(x - 24) \).[/tex]

To find the missing values of[tex]\( a \), \( b \), and \( c \)[/tex], we need to expand the polynomial [tex]\( (x+b)(x+c) \)[/tex]and equate it to [tex]\( 2x^3 - 8x^2 - 24x \).[/tex]

Expanding [tex]\( (x+b)(x+c) \),[/tex] we get:

[tex]\[ (x+b)(x+c) = x^2 + (b+c)x + bc \][/tex]

Comparing this to [tex]\( 2x^3 - 8x^2 - 24x \),[/tex]we see that:

[tex]\[ x^2 + (b+c)x + bc = 2x^3 - 8x^2 - 24x \][/tex]

We need to match the coefficients of corresponding terms on both sides of the equation.

From the equation above, we can equate coefficients:

1. Coefficient of [tex]\( x^3 \): \( 2 = 0 \)[/tex] (there is no [tex]\( x^3 \)[/tex] term on the right side).

2. Coefficient of [tex]\( x^2 \): \( 1 = -8 \) (from \( x^2 \) term)[/tex].

3. Coefficient of [tex]\( x \): \( b + c = -24 \) (from \( x \) term).[/tex]

4. Constant term: [tex]\( bc = 0 \)[/tex] (there is no constant term on the right side).

From the last equation, we know that either [tex]\( b \) or \( c \)[/tex]must be zero, or both.

If one of them is zero, then the other must be equal to [tex]\( -24 \)[/tex] for the equation [tex]\( b + c = -24 \)[/tex] to hold true.

Now, we can test some values to satisfy these equations:

1. If [tex]\( b = 0 \)[/tex]

  [tex]\[ c = -24 \][/tex]

2. If [tex]\( c = 0 \):[/tex]

[tex]\[ b = -24 \][/tex]

3. If both [tex]\( b \) and \( c \)[/tex]are non-zero:

  We can solve the equation [tex]\( b + c = -24 \)[/tex] for various values of [tex]\( b \) and \( c \).[/tex]

Therefore, possible combinations are:

1.[tex]\( a = 2 \), \( b = 0 \), \( c = -24 \)[/tex]

2.[tex]\( a = 2 \), \( b = -24 \), \( c = 0 \)[/tex]

3.[tex]\( a = 2 \), \( b = -12 \), \( c = -12 \)[/tex]

So, the possible missing values are:

1. [tex]\( a = 2 \), \( b = 0 \), \( c = -24 \)[/tex]

2. [tex]\( a = 2 \), \( b = -24 \), \( c = 0 \)[/tex]

3.[tex]\( a = 2 \), \( b = -12 \), \( c = -12 \)[/tex]

What is the equation in point slope form of the line that passes through the point (−1, −3) and has a slope of 4?


y+1=4(x+3)

y−1=4(x−3)

y+3=4(x+1)

y−3=4(x−1)

Answers

Answer:

y + 3 = 4(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 4 and (a, b) = (- 1, - 3), thus

y - (- 3) = 4(x - (- 1)), that is

y + 3 = 4(x + 1)

Answer:

its C can i have

Step-by-step explanation:

In a recent poll, 370 people were asked if they liked dogs, and 7% said they did. Find the margin of error of this poll, at the 90% confidence level. Give your answer to three decimals.

Answers

Answer:

[tex] ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218[/tex]

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

[tex]p[/tex] represent the real population proportion of interest

[tex]\hat p=0.07[/tex] represent the estimated proportion for the sample

n=370 is the sample size required (variable of interest)

[tex]z[/tex] represent the critical value for the margin of error

The population proportion have the following distribution  

[tex]p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})[/tex]  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by [tex]\alpha=1-0.90=0.10[/tex] and [tex]\alpha/2 =0.05[/tex]. And the critical value would be given by:  

[tex]z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64[/tex]  

The margin of error for the proportion interval is given by this formula:  

[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)  

And replacing into formula (a) the values provided we got:

[tex] ME=1.64\sqrt{\frac{0.07(1-0.07)}{370}}=0.0218[/tex]

The margin of error on this case would be ME=0.0218

Justin opens a savings account with $4. He saves $2 each week. Does a linear function or a nonlinear function represent this situation? Explain.

Answers

A linear function represents this situation, because Justin’s money does not compound, and his savings increase by the same amount each week.

Yes , the situation can be represented by a linear function where the equation is A = 2x + 4  where x is the number of weeks

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

The initial amount in Justin's savings account = $ 4

The amount saved by Justin every week = $ 2

Let the number of weeks be = x

So , the amount saved by Justin in x weeks = 2x

Now , the total amount saved by Justin in savings account A = initial amount in Justin's savings account + amount saved by Justin in x weeks

Substituting the values in the equation , we get

A = 4 + 2x

On simplifying the equation , we get

A = 2x + 4

which is of the form of a linear equation of line

Hence , the linear equation is A = 2x + 4 , where x is the number of weeks

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ5

Dylan plants grass in a rectangular space behind the clubhouse.the area of the space is 70 square feet. If the length of the space is 14 feet . what is the width of the space

Answers

Answer:

The width of the rectangular space  = 5 ft.

Step-by-step explanation:

The area of the rectangular space = 70 sq ft.

The length of the rectangular space = 14 ft

The width of the rectangular space - m ft

Now, AREA OF THE RECTANGLE  = LENGTH x WIDTH

 70 sq ft.  =  14 ft x m ft

or, m =  70 / 14  = 5 ft

or, m = 5 ft

Hence the width of the rectangular space  = 5 ft.

How many pounds of ground beef are needed to make 80 hamburger patties if each uncooked patty weighs 4.8 ounces?
A
10.4 pounds

B
24 pounds

C
61.4 pounds

D
96 pounds

Answers

The right answer is Option B.

Step-by-step explanation:

Beef per patty = 4.8 ounces

Number of hamburgers = 80

Beef required = Number of hamburgers * beef per patty

Beef required = [tex]80*4.8 = 384 \ ounces[/tex]

As we know,

16 ounces = 1 pound

1 ounce = [tex]\frac{1}{16} \ pounds[/tex]

384 ounces = [tex]\frac{1}{16}*384[/tex]

384 ounces = 24 pounds

24 pounds of beef is required to make 80 hamburger patties.

The right answer is Option B.

Keywords: multiplication, division

Learn more about multiplication at:

brainly.com/question/10703930brainly.com/question/10772025

#LearnwithBrainly

If a figure has been dilated by a scale factor of 1/3, which transformation could be used to prove the figures are similar using the AA similarly postulate?

Answers

Translation as you are looking for 2 angles to be congruent when using the AA postulate.

Tommy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 51 regular sodas and 34 diet sodas. What percentage of the sodas served were regular?

Answers

Answer:

60%

Step-by-step explanation:

51+34=85

51/84= 0.60 or 60%

Solve the inequality $-4x > -24.$ Give your answer in interval notation.

Answers

Final answer:

To solve the inequality -4x > -24, divide both sides by -4 and flip the inequality sign to obtain x < 6. The solution in interval notation is (-∞, 6).

Explanation:

To solve the inequality -4x > -24, we can divide both sides of the inequality by -4. Remember, when dividing or multiplying both sides of an inequality by a negative number, the inequality sign flips. So, the inequality becomes:

x < 6

The solution in interval notation is (-∞, 6).

Final answer:

The solution is x < 6, which is represented as (-∞, 6) in interval notation.

Explanation:

To solve the inequality -4x > -24, we can start by dividing both sides by -4.

Divide both sides of the inequality by -4. Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign changes.

However, when dividing an inequality by a negative number, the direction of the inequality sign must be flipped. So we have x < 6.

Since the inequality sign is less than, the solution set is all values of x that are less than 6. In interval notation, this is represented as (-∞, 6).

Marco needs $57 to buy new basketball shoes. If Marco earns $3 per day working and already has $12 saved, which equation shows how many days Marco must work before he can afford the shoes?

Answers

Answer:

3x+12=57

x= how many days

Step-by-step explanation:

Answer:

[tex]3x+12=57[/tex]

Step-by-step explanation:

Let x represent number of days.

We have been given that Marco earns $3 per day working. So amount earned in x days would be [tex]3x[/tex].

We are also told that Marco already has $12 saved, so total amount saved by Marco in x days would be [tex]3x+12[/tex].

Now we will equate total amount saved by Marco in x days with 57 as Marco needs to save $57 to buy new shoes.

[tex]3x+12=57[/tex]

Therefore, the equation [tex]3x+12=57[/tex] shows the number of days (x) that Marco must work before he can afford the shoes.

A number increased by 3 is 19

Answers

Answer:

The number would be 16.

Step-by-step explanation:

If you have a specific number of apples, and then pluck 3 more, you have 19. So this can be modeled as 19-3, which gives you the original

Answer: 16

steps: 19-3=16

Hope this helps u :)

Find the lateral area and surface area of the solid. Use the 2.5 by 2.5 square as the base. Round to the nearest tenth if necessary.

I am unable to add a photo, the base is: 5.5ft, 5.5ft, and the height is 10ft.

Choices:
L = 220ft2 ; S = 302.5 ft2

L = 280.5 ft 2 ; S = 220ft2

L = 170.5 ft2 ; S = 280.5ft2

L = 220ft 2 ; S = 280.5 ft2

Answers

Answer:

Part 1) [tex]LA=220\ ft^2[/tex]

Part 2) [tex]SA=280.5\ ft^2[/tex]

L = 220 ft2 ; S = 280.5 ft2

Step-by-step explanation:

The correct question is

Find the lateral area and surface area of a rectangular prism. The base is a square 5.5 ft by 5.5 ft, and the height is 10 ft

Part 1) Find the lateral area

The lateral area of a rectangular prism is equal to

[tex]LA=Ph[/tex]

where

P is the perimeter of the base

h is the height of the prism

we have

[tex]P=4(5.5)=22\ ft[/tex] ---> the perimeter of a square

[tex]h=10\ ft[/tex] ---> is given

substitute

[tex]LA=22(10)=220\ ft^2[/tex]

Part 2) Find the surface area

The surface area of a rectangular prism is equal to

[tex]SA=2B+LA[/tex]

where

LA is the lateral area

B is the area of the base

we have

[tex]LA=220\ ft^2[/tex]

[tex]B=5.5^2=30.25\ ft^2[/tex] ----> area of a square

substitute

[tex]SA=2(30.25)+220=280.5\ ft^2[/tex]

Answer:

D. L = 220 ; S = 280.5

Step-by-step explanation:

Mary and Lamar establish a tutoring service at a local mall. They tutor college students in math and English. They charge $40 per hour for tutoring. In the month of January they charged for 200 tutoring hours. The expenses of their business are given in the table below. Expense Amount/Month Rent of Space $4000 Electricity $325 Advertising $375 Using the formula Profit = $40(number of hours) – (expenses) , calculate their profit for the month of January.

Answers

The profit is $3300 for the month of January.

Step-by-step explanation:

Per hour charge = $40

Total number of tutoring hours = 200

Rent of space = $4000

Electricity = $325

Advertising = $375

Total expenses = 4000+325+375 = $4700

Profit = $40(number of hours) - (expenses)

[tex]Profit=\$40(200)-4700\\Profit=\$8000-4700\\Profit=\$3300[/tex]

The profit is $3300 for the month of January.

Keywords: profit, addition

Learn more about addition at:

brainly.com/question/4279146brainly.com/question/4354581

#LearnwithBrainly

During a walkathon, Team A walked a total of 6x+12 miles and Team B walks a total of 4x-7 miles. What is the difference in miles between the two teams?

A) 2x-5
B) 2x+5
C)2x-19
D)2x+19

Please show work so I can understand the question Thanks!

Answers

The right answer is Option D.

Step-by-step explanation:

Distance of Team A = 6x+12

Distance of Team B = 4x-7

Difference between two teams means subtraction, therefore, subtracting the distance of Team B from Team A;

[tex](6x+12)-(4x-7)\\6x+12-4x+7[/tex]

Combining alike terms;

[tex]6x-4x+12+7\\2x+19[/tex]

The difference between two teams is 2x+19.

The right answer is Option D.

Keywords: subtraction

Learn more about subtraction at:

brainly.com/question/11207748brainly.com/question/11280112

#LearnwithBrainly

Answer:

Step-by-step explanation:

Distance of Team A = 6x+12

Distance of Team B = 4x-7

Combining alike terms;

6x-4x+12+7

6x-4x=2x

12+7=19

2x+19

The difference between two teams is 2x+19.

The right answer is Option D.

Which is greater 3/5 or 23%

Answers

Answer:

3/5 is greater because when you convert it into decimal it's 0.6 and when you convert 23% into decimal it's 0.23

x^(logx) = 1000000x
Find x.

Answers

Answer:

[tex]x = 1000[/tex] or [tex]x = 0.01[/tex]

Step-by-step explanation:

We are given a logarithmic equation of x and we have to solve it for x.

Given,

[tex]x^{\log x} = 1000000x[/tex]

⇒ [tex]x^{\log x} = 10^{6} \times x[/tex]

Now, taking log on both sides, we get

[tex]\log x^{\log x} = \log 10^{6} \times x[/tex]

⇒ [tex]\log x .\log x = \log 10^{6}  + \log x[/tex]

{Since [tex]\log a^{b} = b\log a[/tex] and [tex]\log ab = \log a + \log b[/tex]}

⇒ [tex](\log x)^{2} = 6 + \log x[/tex]

{Since log 10 = 1}

a² = 6 + a {Where, a = log x}

⇒ a² - a - 6 = 0

⇒ (a - 3)(a + 2) = 0

a = 3 or a = -2

[tex]\log x = 3[/tex] or [tex]\log x = - 2[/tex]

Now, converting logarithm to exponential form, we get,

⇒ [tex]x = 10^{3} = 1000[/tex] or [tex]x = 10^{- 2} = \frac{1}{100} = 0.01[/tex] (Answer)

on dividing $200 between A and B such that twice of A's share is less than 3 times than B's share by $20

Answers

Answer:

Share of A is $116 and Share of B is $84.

Step-by-step explanation:

Let the share of A be [tex]x[/tex]

Let the share of B be [tex]y[/tex]

Given:

$200 is shared between A and B

So, [tex]x+y =\$200\ \ \ \ equation \ 1[/tex]

Also given;

twice of A's share is less than 3 times than B's share by $20

[tex]2x= 3y -20\\2x-3y = -20 \ \ \ \ equation \ 2[/tex]

Solution:

Now multiplying equation 1 by 3 we get,

[tex]3x+3y=600 \ \ \ \ equation \ 3[/tex]

Now Adding equation 2 and equation 3 we get

[tex](2x-3y = -20)+ (3x+3y=600)\\5x=580\\\\x=\frac{580}{5}=\$116[/tex]

Now Substituting the value of x in equation 1 we get,

[tex]x+y=200\\116+y=200\\y=200-116 = \$84[/tex]

Hence, Share of A is $116 and Share of B is $84.

i am confused on how to order them

Answers

Answer:

The order is as follows:

30, 44, 106

Step-by-step explanation:

Sum of all the three sides = 180°

⇒ (2y + 6)° + (y + 32)° + (8y + 10)° = 180°

⇒ 11y + 48 = 180°

⇒ 11y = 132

y = 12

Therefore, The angles become 30°, 44° and 106°

They are in the increasing order as well.

Other Questions
Your neighbor Bob has two annuities. The first annuity will pay him $10,000 per month for the next 10 years. The second annuity will pay him $15,000 per month for the following 10 years (years 11 through 20). Assuming a discount rate of 6%, what is the present value of the annuities? A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32 ramp, measured from the horizontal, at a speed of 40.0 m/s (144 km/h). The top of the ramp is at the same height as the roofs of the buses and each bus is 20.0 m long. A felt-covered beanbag is fired into a empty wooden crate that sits on a concrete floor and is open on one side. The beanbag is moving exactly horizontally when it strikes and sticks to the inside wall of the crate, which is lined with velcro. As a result of this impact, the crate slides backwards 0.935 meters along the concrete, which has a coefficient of kinetic friction of \mu_k = 0.480 k =0.480. The beanbag has a mass of 0.354 kg and the empty crate has a mass of 3.77 kg. Calculate the speed of the beanbag vv at the moment it strikes the crate. You may neglect the effect of air resistance. Two pipes are smoothly connected together without leaks. One has a diameter of 3 cm and the other has a diameter of 5 cm. Water flows through the pipes. In which pipe is the flow speed the greatest? in which pipe is the volume flow rate the greatest? Shaping is a procedure in which reinforcers are a) designed to evoke respondent behavior. b) interspersed with punishers to speed the process of learning. c) used to guide actions closer and closer to a desired behavior. d) given on a variable-ratio schedule. 4) Balance the following redox reaction in an acidic solution. What are the coefficients in front of H and Fe3+ in the balanced reaction? How many moles of electrons are transferred? Fe2+(aq) + MnO4(aq) Fe3+(aq) + Mn2+(aq) Find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2 discuss the accomplishments of the "new frontier" president kennedy's domestic policy plan Select all the correct answers.The following image is a food web in an aquatic ecosystem. What two possible consequences will an increased population of smaller fish leadturtleslarge fishsmall fishaquatic insectswater fleasalgaedecreased producersdecreased primary consumers Two non-common sides of adjacent supplementary angles form a _____ angle.A. reflexB. acuteC. straightD. obtuse A drag racing vehicle travels from 0 to 100 mph in 5 seconds north.what is the acceleration What is the most effective way to avoid getting an STI? Why did the framers make it possible to change the constitution but difficult to do so? What is the image of (-9, -1) after a dilation by a scale factor of 2 centered at theorigin? When students make the transition to middle or junior high school, they experience the _____ phenomenon, moving from being the oldest, biggest, and most powerful students in the elementary school to being the youngest, smallest, and least powerful students in the middle or junior high school. In 2005 a planet was found revolving about a distant sunlike star in 4.01 days. The radius of its orbit is 2 comma 600 comma 000 mi. What is its linear velocity (in mi/h) about its star? In the genetic code,a.some codons specify more than one amino acid.b.some codons consist of two nucleotides.c.some amino acids are not specified by any codons.d.many amino acids are specified by more than one codon. The Boxers The imperial court responded to this foreign threat by giving aid to various secret societies. Traditionally, secret societies had been formed in opposition to imperial government; as such, they were certainly a threat to the Ch'ing government. However, anti-foreign sentiment had risen so greatly in China that the Empress Dowager believed that the secret societies could be the vanguard in a military expulsion of Europeans. This policy reached its climax in 1900 with the Boxer Rebellion. The Boxers, or "The Righteous and Harmonious Fists," were a religious society that had originally rebelled against the imperial government in Shantung in 1898. They practiced an animistic magic of rituals and spells which they believed made them impervious to bullets and pain. The Boxers believed that the expulsion of foreign devils would magically renew Chinese society and begin a new golden age. Much of their discontent, however, was focused on the economic scarcity of the 1890's. They were a passionate and confident group, full of contempt for authority and violent emotions.Which statement about the Boxers is a fact, not an opinion?A) They were very superstitiousB) They were stupidC) They were very religious compared to the EuropeansD) They believed that they were bulletproof (4,7) and (5,1) as an equation what is -14+5k-3= simplifying