Solve the equation 3x = 2x + 5.

What can you do to isolate the variable on one side of the equation?


What is the solution?

c = 30 inch

Step-by-step explanation:

perpendicular (p) = 18 inch

base(b) = 24 inch

hypotenuse (h) = ?

we know by using Pythagoras theorem

h² = p² + b²

h² = 18² + 24²

h² = 324 + 576

h² = 900

h= √900

therefore h = 30 inch

Hope it will help you. :)

Answer:

(30)Pythagorean theorem a^2+b^2=c^2

Step-by-step explanation:

18^2+24^2=c^2

square root 900 and the answer is 30

sorry if wrong i tried

Answer:

56m cubed

Step-by-step explanation:

7m×2m×4m=56m

Answer:

A. 76

B.  150

C.  38

Step-by-step explanation:

Answer:

(a) 76 students drink coffee.

(b) 150 students drink coffee, tea, or both.

(c) 38 students do not drink both tea and coffee.

Step-by-step explanation:

This question requires an analysis of Venn diagrams.

(a) The two circles are shared, but only 76 students drink coffee.

(b) I'm pretty sure this is a trick question. It says "how many drink tea OR coffee OR both?" probably meaning that they want you to count everyone besides the 38 who do not drink either. This could be 28, but I am sure that it is 150.

(c) As seen outside of the Venn diagram, 38 do not drink either coffee or tea.

Answer:

y = 425x + 600

Step-by-step explanation:

So x is the months, 425 is how much he pays a month, also, 600 is the extra one time payment.

Answer:

(x+3)^2 + (y +5)^2 = 36

Step-by-step explanation:

We can write the equation of a circle with the formula

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -3)^2 + (y - -5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 6^2

(x+3)^2 + (y +5)^2 = 36

Answer:

D; (x + 3)^2 + (y + 5)^2 = 36

Step-by-step explanation:

correct on edge

Answer

12

Step-by-step explanation:

in this equation , since its a fraction you would divide. With the exponents it would be subtraction. therefore, making it 12 I hope this helps :)

Answer:

12

Step-by-step explanation:

got 100 on the test.

Answer:

118!

Step-by-step explanation:

On edge 2020

Answer:

1. 1/3, 4

2. 3/5, -2

3. 4, 1

4. -3/2, 3

5. 1, 4

Step-by-step explanation:

- The slope is x and to find it do (rise over run) for example 5/3, but since it is done for you that is not needed. That was just a reference.

- The y-intercept is where the number hits the y-axis when at 0.

Answer:

Refer below.

Step-by-step explanation:

a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?

Lady Gaga wager MORE.

b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior.

The economic concept answer illustrate is MORAL HAZARD.

Due to the reimbursement clause offered to Gaga on losses made, then she will wager more. However, this could in moral hazard.

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The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.

To solve this problem, we can use trigonometry to set up a system of equations with the given angles and the known height of the tower. We'll use the following steps:

1. Use Ray's angle of elevation to the plane (81 degrees) and his distance from the tower (1 mile, which is 5280 feet) to find the height of the plane from the ground.

2. Use Ray's angle of elevation to the top of the tower (8.6 degrees) with the same distance to find the height difference between the tower and the plane.

3. Add the height of the tower to the height difference found in step 2 to get the total height of the plane from the ground.

Let's denote the height of the plane from the ground as ( h ) and the horizontal distance from Ray to the point right below the plane as ( d ). We know that [tex]\( \tan(81^\circ) = \frac{h}{5280} \)[/tex] and [tex]\( \tan(8.6^\circ) = \frac{800}{5280} \)[/tex].

Let's calculate ( h ) using these equations.

The airplane is approximately 33,336.6 feet above the ground. This calculation is based on Ray's perspective from 1 mile away with an 81-degree angle of elevation to the plane. The calculated height difference between the plane and the top of the tower is approximately 1,598.5 feet.

If 3/10 of the project was completed in 9 days, then the total project takes 30 days to complete. Therefore, it will take 21 more days to finish the remaining work.

The given problem involves a basic understanding of ratios and proportions, specifically applied to the concept of time and work. We know from the problem that 3/10 of the work was completed in 9 days. If that amount of work represents 3/10, then 1 whole or the complete work would be (10/3) times that much. We can set up the proportion as follows: 3/10 = 9/x. Solving for x gives us x = (10/3) * 9 = 30 days. So, at the same rate of work, it will take 30 days to complete the project. However, since 9 days of work have already been done, the project can be finished in 30 - 9 = 21 more days.

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Answer:

step1

subract 2008population froom 2009 popultion

step2

answer that was subracted divide that by total area of the texas

Answer: A) c=18s

Step-by-step explanation: Each session means we are multiplying so we can eliminate B and C so next we must understand where to place our variables. If it is 18 per session then 18s would be the equation and equal the total cost (c) soo the answer is c=18s

Answer:

D) the value of the exponential function will eventually exceed the value of the linear function.

Step-by-step explanation:

I ATTACHED AN IMAGE WITH THE CORRECT INFORMATION OF THE QUESTION.

To know which is the correct answer we can calculate some other values of f(x) and g(x) for higher values of x:

f(100)=210            g(100)=7.31

f(1000)=2010        g(1000)=20959.15

f(10000)=20010    g(10000)=1.63e^43

As we can observe, g(x) eventually will exceed to f(x). This is noticed when x = 1000, where g(1000)>f(1000).

Hence, the answer is:

D) the value of the exponential function will eventually exceed the value of the linear function.

Answer:

There is sufficient statistical evidence to suggest that the average weight of the ground beef packaged in small trays is 1 pound

Step-by-step explanation:

Here we have to perform a t-test

Mean = Sample mean = 1.04 lb

μ = Population mean = 1 lb

s = Standard deviation of 0.19

n = Sample size = 45

Null hypothesis H₀ = 1

Alternative hypothesis Hₐ > 1

Therefore from

[tex]t=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}[/tex] we have

t = 1.412

Critical t at 5% confidence level  = 1.68

at 5 % confidence level we obtain the probability P is;

P = 0.0825 > 0.05 Therefore we accept our null hypothesis that the average weight of ground beef per pack is 1 pound.

9514 1404 393

Answer:

  F

Step-by-step explanation:

A hypothesis is usually proven incorrect when it fails to explain an observation. The offered statement is False. Experimentation is the most common way a hypothesis is proven incorrect.

Answer:

f

Step-by-step explanation:

Answer:

379.94‬

Step-by-step explanation:

A = πr²

A = 3.14 x 11²

A = 3.14 x 121

A = 379.94‬

Find the radius [ d / 2 = r ]

22 / 2 = 11cm.

Find the area [ A = πr² ]

A = π(11)²

A = π(121) or 121π

A = 379.94

Therefore, the area of the circle is 379.94cm² or 121π cm²

Best of Luck!

Answer:

$5

Step-by-step explanation:

First you divide the 2 numbers you know.

100/20= 5

And if your not sure then you can multiply it.

5x20=100

if i'm not mistaken, this means that one person has to shake 38 people's hands. so, that would be 38*39, i believe.

for the area of the smaller semicircles

area = 1/2 x 3.142 x 5 x 5

area = 39.275cm²

for the larger circle

area = 1/2 x 3.142 x 10x 10

area= 157.1cm²

but since part of it is out and is replaced again

..total area of shaded part is 157.1cm² + 39.275cm² - 39.275cm²

area =157.1cm²

Answer:

29 rungs

Step-by-step explanation:

In this question, we are to use the climbing statistics of a firefighter to determine the number of rungs a ladder have.

Firstly, since we do not know the number of rungs but we know we are starting from the middle rung, let the middle rung be r.

From the middle rung, he climbed 6 rungs, meaning he would be on rung x + 6 ! From here he came down ten rungs, meaning he would be on rung x + 6 - 10 = x -4

Now, he climbed 18 rungs again, making x -4+18 = x + 14

This is equal to the topmost rung i.e the topmost rung is at a position x + 14

This means that the ladder must have 14 rungs above the middle , 14 below it and the middle itself

14+ 14 + 1 = 29 rungs

The firefighter's movements on the ladder suggest that the ladder has 41 rungs, confirmed by algebraically considering the middle rung 'm' and then solving for 'm' knowing the positions relative to the top.

To solve the question, let's follow the firefighter's movement on the ladder using variables and a step-by-step approach. If we let the middlemost rung the firefighter is initially standing on be represented by 'm,' we can track the rung positions with the following moves:

The firefighter climbs up 6 rungs: new position is m + 6.

The firefighter then climbs down 10 rungs: new position is (m + 6) - 10 = m - 4.

Finally, to reach the top of the ladder, the firefighter climbs up 18 rungs: new position is (m - 4) + 18 = m + 14.

Since the final position is the top rung of the ladder, it means the middlemost rung 'm' plus 14 rungs equals the total number of rungs on the ladder. Because 'm' is the middle rung of the ladder, there must be 'm - 1' rungs below it. Therefore, the total number of rungs on the ladder is (m - 1) + m + 14. Simplifying, this becomes 2m + 13.

Now we know that 2m equals the number of rungs minus the top 14 rung positions, and since 'm' represents the middlemost rung, '2m' represents the total number of rungs on the ladder except for the top 14. Hence, the total rungs on the ladder are 2m + 14. But since 2m + 13 equals the total, the only number that satisfies this condition is when m = 14. Therefore, the ladder must have 2m + 13 = 2(14) + 13 = 41 rungs.

Answer:

12 people

Step-by-step explanation:

Because 1800 divided by 150 equals 12 people exactly

Hope this helps

Anna is correct. The remaining angle of the triangle measures less than 90 degrees.

Learn more about the triangle here; https://brainly.com/question/25813512?referrer=searchResults

Answer: b. She is correct. The remaining angle of the triangle measures less than 90 degrees.

Step-by-step explanation: edge 2022

Answer:

v=2571.13667 mm^3

Step-by-step explanation:

A marble is a sphere, and the volume of a sphere can be found using:

[tex]v=\frac{4}{3} \pi r^3[/tex]

We need to find the radius, and we know that the radius is 1/2 of the diameter

r=d/2

r=17/2

r=8.5

Now we can substitute 8.5 in for r, and 3.14 in for pi

[tex]v=\frac{4}{3} (3.14)(8.5^3)[/tex]

[tex]v=\frac{4}{3} (3.14)(614.125)[/tex]

[tex]v=\frac{4}{3}(1928.3525)[/tex]

[tex]v=2571.13667 mm^3[/tex]

The volume of a glass marble with a diameter of 17 mm is approximately 2600 mm³ (2.6 cm³) when computed using the formula V = (4/3) πr³ and 3.14 as the value for π, with the final result rounded to two significant figures.

To calculate the volume of a glass marble with a diameter of 17 millimeters using 3.14 as the value of π (pi), we use the formula for the volume of a sphere, which is V = (4/3) πr³.

First, we need to find the radius of the marble, which is half the diameter. The diameter is 17 mm, so the radius is 17 mm ÷ 2 = 8.5 mm. Substituting the radius into the volume formula, we get V = (4/3) × 3.14 × (8.5 mm)³.

Calculating the radius to the third power, (8.5 mm)³ = 614.125 mm³. Multiply this by 3.14: 614.125 mm³ × 3.14 = 1928.3525 mm³. Then multiply by 4/3: × (4/3) = 2571.1367 mm³. Since the measured value of volume is limited by the number of significant figures, we need to round this to two significant digits. Therefore, the approximate volume of the marble is 2600 mm³ (2.6 cm³) after rounding off. Please note that the measured value of 17 mm only has two significant figures, so the final answer must also reflect this limitation.

Answer: The plane has flown 5,183 feet (approximately)

Step-by-step explanation: First and foremost, the plane is at vertex B of a right angled triangle ABC, and angle A measures 10°. Also the vertical side BC is the distance covered by the plane which in this case is the hypotenuse. The line BC is facing angle A which is the reference angle, hence line BC is the opposite.

With this bit of information we can calculate the distabce flown (hypotenuse) as follows;

Sin A = opposite ÷ hypotenuse

Sin 10 = 900/c

By cross multiplication we now have;

c = 900/Sin 10

c = 900/0.17364817766693

c = 5182.89

c ≈ 5183

Therefore the plane has flown 5,183 feet (approximately)

To find the distance the plane has flown, use the cotangent of the given angle (10 degrees) and multiply with the opposite side length (900 feet). The resulting value, rounded to the nearest foot, is the distance flown.

In this scenario, we have a right triangle where it's given that the vertical side BC = 900 feet, the angle at A is 10 degrees, and we need to find the length of the hypotenuse AB (distance the plane has flown). For a right triangle, the trigonometric property that relates the angle with the sides is tangent (tan), defined as the ratio of the opposite side to the adjacent side.

However, in this case, we need to use its reciprocal function, cotangent (cot), which gives the ratio of the adjacent side to the opposite side. As we know the opposite side (900 feet) and the angle (10 degrees), we can find the length of the hypotenuse (AB) using the cotangent of the angle, i.e., cot(10 degrees) = AB/900. So, AB = cot(10 degrees) * 900.

On calculating the above expression and rounding to the nearest foot, you get the distance the plane has flown.

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Step-by-step explanation:

It is a right angled triangle so with reference angle 37°

hypotenuse (b) = 10

perpendicular (p) = x

So

tan 37° = p/ b

0.75 = x / 10

x= 0.75/10

Therefore x = 0.075

Hope it will help you :)

The value of x when rounded to nearest 10th will be 6.0

Given: a right angled triangle with hypotenuse equal to 10 units and angle opposite to the perpendicular equal to 37°

To find: value of the perpendicular [tex]x[/tex]

To find the perpendicular we can use trigonometric equation:

[tex]\sin \theta = \frac{\text{perpendicular}}{\text{hypotenuse}}[/tex]

where [tex]\theta[/tex] is the angle opposite to the perpendicular

Putting the values in the equation we get:

[tex]\sin 37 = \frac{x}{10}\\[/tex]

[tex]0.6018 = \frac{x}{10}\\[/tex]

[tex]x= 0.6018 \times 10\\x = 6.018[/tex]

So, the value of the perpendicular (x) is 6.018 units but when rounded to nearest 10th we get 6.0

Answer:

C

Step-by-step explanation:

I took the test

Answer: It’s 4 they’re all wrong (pretty sure I have the same graph)

Step-by-step explanation:

A general cosine function has the form:

f(x) = A*cos(c + x)

We want to find the value of A that matches the one in the image, and we will find that A = 3

Ok, a general cosine function is:

f(x) = A*cos(c + x)

Where A is the amplitude.

To find the amplitude of a cosine function, we just need to find half of the difference between the maximum and minimum value of the function:

By looking at the given graph, we can see that the maximum is y = 3, and the minimum is y = -3

Then the amplitude is:

A = (3 - (-3))/2 = 6/2 = 3

The correct option is B.

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