4. Find the value of x in the right triangle below.
60°

Answer:

Geometric sequence.

Step-by-step explanation:

This is a Geometric Sequence with common ratio -2:

-2 = 1* -2

4 = -2*-2

-8 = 2 * -2.

the nth term = (-2)^(n-1).

Answer:

A. x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

Let's move all the terms to one side:

[tex]x^2=5x+2[/tex]

[tex]x^2-5x-2=0[/tex]

Now, we want to use the quadratic formula, which states that for a quadratic equation of the form [tex]ax^2+bx+c=0[/tex], the roots can be found with the equation: [tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].

Here, a = 1, b = -5, and c = -2, so plug these in:

[tex]x=\frac{-(-5)+\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5+\sqrt{25+8} }{2}=\frac{5+\sqrt{33} }{2}[/tex]

OR

[tex]x=\frac{-(-5)-\sqrt{(-5)^2-4(1)(-2)} }{2(1)}=x=\frac{5-\sqrt{25+8} }{2}=\frac{5-\sqrt{33} }{2}[/tex]

Thus, the answer is A.

Hope this helps!

Answer:

First one:

x = x equals 5 plus or minus the square root of thirty-three all over 2

Step-by-step explanation:

x² = 5x + 2

x² - 5x - 2 = 0

Using quadratic formula:

x = [-(-5) +/- sqrt[(-5)² - 4(1)(-2)]/2(1)

x = [5 +/- sqrt(33)]/2

Answer:850

Step-by-step explanation:

To find this 2% of x= 17

2/100×x=17

2x/100=17

2x=1700

x=850

Answer:4

Step-by-step explanation:1+1 is 2 and 2x2 is 4

Answer: 14 grams

Step-by-step explanation:

It took 4 balloons to make a duck that weighs 56 grams to float. With one balloon, the number of grams that will float will be 56 grams divided by 4. This will be:

= 56 grams ÷ 4

= 14 grams

Weight carry by 1 balloon is 14 gram

Weight of duck = 56 grams

Number of balloon need to float duck = 4

Weight carry by 1 balloon

Weight carry by 1 balloon = Weight of duck / Number of balloon need to float duck

Weight carry by 1 balloon = 56 / 4

Weight carry by 1 balloon = 14 gram

https://brainly.com/question/2957176?referrer=searchResults

Answer:

12

Step-by-step explanation:

The ratio of cars to trucks to motorcycles is $4:3:2.

If there are $42$ cars and trucks total,

To get how many motorcycles are there

Sum up the ratio of cars and trucks 4:3= 4+3 = 7

Sum up the ratio of cars and trucks and motorcycles

4+3+2 =9

Let the total number of cars and trucks and motorcycles be represented as A

The total number of cars and trucks in the question is 42

(7/9) x A = 42

7A/9 = 42

cross multiply

7A = 42×9 = 378

A= 378/7 = 54

The total number of cars and trucks and motorcycles is 54

To get the number of motorcycles can be calculated through

a. The total number of cars and trucks and motorcycles subtracted by the number of cars and trucks = 54-42=12 or use the ratio which is

2/9 × 54 = 2×6=12

Answer:

$11

Step-by-step explanation:

According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:

6*P=174

P= price of each ticket

P= 174/6= 29

Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:

40-29= 11

The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.

Final answer:

The cost of one ticket is $29, and if a friend pays with two $20 bills, totaling $40, Henry should return $11 in change.

Explanation:

Henry buys 6 circus tickets for a total of $174. To determine the cost of each ticket, you divide the total cost by the number of tickets:

$174 ÷ 6 tickets = $29 per ticket.

When one of Henry's friends pays him back with two $20 bills, the friend gives Henry $40 in total. To find out how much change Henry should return, you subtract the cost of one ticket from the amount the friend gave:

$40 - $29 = $11.

Therefore, Henry should give his friend $11 in change.

Final answer:

The point (3,8) does not satisfy either of the two equations y = -5x + 1 and y = 3x - 2, therefore it is not a solution to the system of equations.

Explanation:

To determine whether the point (3,8) is a solution to the system of equations given by y = -5x + 1 and y = 3x - 2, we need to substitute the x and y values of the point into both equations to see if the equations are satisfied.

For the first equation:
y = -5x + 1
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14

The point (3,8) does not satisfy the first equation because 8 does not equal -14.

For the second equation:
y = 3x - 2
8 = 3(3) - 2
8 = 9 - 2
8 = 7

The point (3,8) does not satisfy the second equation because 8 does not equal 7.

Since the point (3, 8) fails to satisfy both equations, it is not a solution to the system of equations.

Final answer:

The point (3,8) is not a solution to the system of equations y = -5x + 1 and y = 3x - 2, as it does not satisfy either equation when substituting the values of x and y.

Explanation:

The student is asking whether the point (3,8) is a solution to the system of linear equations:

y = -5x + 1

y = 3x - 2
To determine if (3,8) is a solution, we can substitute x with 3 and y with 8 into both equations and see if they hold true.

Substituting into the first equation:
8 = -5(3) + 1
8 = -15 + 1
8 ≠ -14
This does not hold true, so (3,8) is not a solution to the first equation.

Substituting into the second equation:
8 = 3(3) - 2
8 = 9 - 2
8 = 7
This also does not hold true, so (3,8) is not a solution to the second equation either.

Since (3,8) does not satisfy either of the given equations, it is not a solution to the system of equations.

Answer: 4x _ 12

Cheese

Answer:

5.907 kilometers.

Step-by-step explanation:

Please consider the complete question.

According to Jax's pedometer, he walked 2.783 km while taking care of the livestock in the morning and 3.124 km taking care of the livestock in the evening. How far did Jax walk while taking care of the livestock today?

To find the total distance covered by Jax, while taking care of the livestock, we will add distances covered by Jax in the morning and evening.

[tex]\text{Total distance covered by Jax}=2.783+3.124[/tex]

[tex]\text{Total distance covered by Jax}=5.907[/tex]

Therefore, Jax walked for 5.907 kilometers, while taking care of  the livestock.

Answer:

The GCF is 28

Step-by-step explanation:

Step 1:  Find the factors of both numbers

84 → 1,  2 ,  3 ,  4 ,  6 ,  7 ,  12 ,  14 ,  21 ,  28 ,  42 ,  84

56 → 1 ,  2 ,  4 ,  7 ,  8 ,  14 ,  28 ,  56

The factor that is the biggest common in both is the GCF.  We see that 28 is the biggest factor that matches for both numbers.

Answer:  The GCF is 28

Answer:

Total assets $274,500

Total liabilities $156,000

Net worth $118,500

Step-by-step explanation:

Vijay's assets consist of a house, stock investment , balance in checking account , a piano as well as car owned

Total assets=$250,000+$3,000+$1,700+$1,800+$18,000=$ 274,500.00  

Vijay's liabilities are obligations owed to others, which include mortgage loan and car loan

total liabilities=$150,000+$6,000=$156,000

net worth=total assets-total liabilities=$274,500-$156,000=$118,500.00  

Answer: 194 degrees

Step-by-step explanation:

Answer:

A = 70 and N=30

Step-by-step explanation:

Total - 100 cards

American League = A

National League = N

A = 2N + 10 and A+N = 100

100-10 = 90

90/3 = 30

A = 2(30) + 10 = 70

A = 70 and N=30

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

arrange from the smallest to the largest or largest to the smallest and then carry out binary division

Answer:

1 This study is best described as an experiment.

5 The response variable is the average yield for each group of 10 plots.

Step-by-step explanation:

1) This study is best described as an experiment.

This is true. This experiment indicates that study of the crops with or without fertilizers

2) The response variable is whether the corn plants had fertilizer X or not.

No the response variable is the yield

3) The explanatory variable is whether the corn plants had fertilizer X or not.

Sort of The explanatory variable is the fertilizer the levels would be whether or not it had the fertilizer

4) This is best described as an observational study.

No because they had an influence of using a particular fertilizer and a particular plot of land

5) The response variable is the average yield for each group of 10 plots.

Here we are using the fertilizers in order to increasing the yield of the crops So it clearly shows that  growth of the  corn hybrid depends upon the fertilizers(dependent or response variable)

6) The explanatory variable is the average yield for each group of 10 plots.

No the explanatory variable is the fertilizer

Answer:

A part of a whole expressed in hundredths is a percent.

Answer:

(9,-4)? I'm not sure.

Answer:

2.) P(Chocolate, sprinkles)

Step-by-step explanation:

A lot of people choose chocolate ice cream over other flavors, and a lot of people also like sprinkles on their ice cream.

Answer:

62

Step-by-step explanation:

Answer:

62 units

Step-by-step explanation:

this is the answer on edg 2020

Answer: The percentage of hotels in the city have a nightly cost of more than $200 is 21%

Step-by-step explanation:

Since the nightly cost of hotels in a certain city is normally distributed,

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the nightly cost of hotels.

µ = mean cost

σ = standard deviation

From the information given,

µ = $180.45

σ = $24.02

The probability that a hotel in the city has a nightly cost of more than $200 is expressed as

P(x > 200) = 1 - P(x ≤ 200)

For x = 200,

z = (200 - 180.45)/24.02 = 0.81

Looking at the normal distribution table, the probability corresponding to the z score is 0.79

Therefore,

P(x > 200) = 1 - 0.79 = 0.21

The percentage of hotels in the city have a nightly cost of more than $200 is

0.21 × 100 = 21%

Answer:

A) [tex]log_{5}(12)[/tex]

B) [tex]log_{8}(9)[/tex]

C) [tex]log_{9}(25)[/tex]

Step-by-step explanation:

Hello! I am going to walk you through how some simple rules regarding logs!

For A, we will use the 'AM' rule! When adding logs of the same base (in this case 5), you multiply the two answers (3 and 4)!

3 · 4 = 12, giving us [tex]log_{5}(12)[/tex]!

For B, we will use the 'SD' rule! When subtracting logs of the same base (in this case 8), you divide the two answers (9 and 5)!

9/5 = [tex]\frac{x}{5}[/tex] ; simplify! (9/5) x 5 = 9, giving us [tex]log_{8}(9)[/tex]!

For C, we will use the 'MS' rule! When multiplying a number times a logarithm, you can get the same argument by removing the coefficient (2) and squaring the log's answer (5)!

[tex]5^{2} = 25[/tex], giving us [tex]log_{9}(25)[/tex]!

I hope that this helps!

Answer: 3 /2 x^3y^3z

Answer:

Simplified, it equals (3x^3*y^3*z)/2

Step-by-step explanation:

Answer:

The area of the triangular sail is 20 square inches.

Step-by-step explanation:

We are given the following in the question:

Dimensions of triangular sail:

Base, b = 8 inches

Height, h = 5 inches

Area of triangular sail =

= Area of triangle

[tex]=\dfrac{1}{2}\times b\times h[/tex]

Putting values, we get,

[tex]A = \dfrac{1}{2}\times 8\times 5\\\\A = 20\text{ square inches}[/tex]

Thus, the area of the triangular sail is 20 square inches.

Answer:the answer is 3 years or b

Step-by-step explanation:

I got it correct on ed 2021!

The perimeter of the trapezoid is 26cm. Using the formula, the area is approximately 47.92cm², rounded to two decimal places.

To find the perimeter and area of the given shape, we first need to determine what type of shape it is. From the given measurements (5cm, 6cm, 7cm, and 8cm), it seems like a quadrilateral, specifically a trapezoid, as the lengths are not all equal.

To calculate the perimeter of the trapezoid, we simply add the lengths of all four sides:

Perimeter = 5cm + 6cm + 7cm + 8cm = 26cm

Now, to find the area of the trapezoid, we can use the formula:

Area = (1/2) × (sum of parallel sides) × (height)

First, let's determine the height of the trapezoid. Since it's not given directly, we can use the formula for the height of a trapezoid:

[tex]\[h = \sqrt{a^2 - (\frac{1}{2}(b_1 - b_2))^2}\][/tex]

Where:

- (a) and (b_1, b_2) are the lengths of the trapezoid's legs and bases, respectively.

Let's plug in the values:

[tex]\[h = \sqrt{6^2 - (\frac{1}{2}(8 - 5))^2}\][/tex]

[tex]\[h = \sqrt{36 - (\frac{1}{2}(3))^2}\][/tex]

[tex]\[h = \sqrt{36 - \frac{9}{4}}\][/tex]

[tex]\[h = \sqrt{\frac{135}{4}}\][/tex]

[tex]\[h = \frac{\sqrt{135}}{2}\][/tex]

Now, we can calculate the area using the formula:

[tex]\[Area = \frac{1}{2} \times (5 + 8) \times \frac{\sqrt{135}}{2}\][/tex]

[tex]\[Area = \frac{13}{2} \times \frac{\sqrt{135}}{2}\][/tex]

[tex]\[Area = \frac{13\sqrt{135}}{4}\][/tex]

So, the perimeter of the trapezoid is 26cm and the area is[tex]\(\frac{13\sqrt{135}}{4} cm^2\).[/tex]

Answer: Yolanda spent $6.60 at her favourite restaurant, including the tip.

Step-by-step explanation:

We know that 20% of 5.50 is: 1.10

So, 5.50 + 1.10 = 6.60.

Yolanda spent $6.60 at her favourite restaurant, including the tip.

Answer:

23.4 feet

Step-by-step explanation:

Please refer to the attached image for explanations

Using similar triangles and a proportion, the length of the tree's shadow that will allow it to be cut down needs to be 448 inches, or 37.3 feet to the nearest tenth of a foot.

To find the length of the tree's shadow that would allow for the tree to be tall enough (41 feet or more) to be cut down, we need to use similar triangles. The person cutting the tree is 5 feet 3 inches tall, which is 63 inches, and their shadow is 36 inches long. Using this information, we can set up a proportion since the tree and the person form similar triangles with their respective shadows. The proportion is 63 inches / 36 inches = 492 inches (41 feet) / length of tree's shadow. To find the tree's shadow length, we cross multiply and solve for the tree's shadow length as follows:

63 * length of tree's shadow = 36 * 492

Length of tree's shadow = (36 * 492) / 63

Length of tree's shadow = 28224 / 63

Length of tree's shadow = 448 inches

Therefore, the length of the tree's shadow needs to be 448 inches, or to the nearest tenth of a foot, 37.3 feet.

Answer:

After 49 months the total cost of the two systems will be equal.

Step-by-step explanation:

To Find: We need to find the number of months will the total cost of the two systems be equal

Solution:

For Satellite receiver:

Satellite receiver cost = $298.90

Monthly charge = $68.70

Let the Number of months be denoted by 'x'.

Now we can say that;

Total cost using Satellite receiver is equal to sum of Satellite receiver cost and Monthly charge multiplied by number of months.

framing in equation form we get;

Total cost using Satellite receiver = [tex]298.90+68.70x[/tex]

For Using Cable:

Monthly charge = $74.80

So we can say that;

Total cost using cable is equal to Monthly charge multiplied by number of months.

framing in equation form we get;

Total cost using cable = [tex]74.80x[/tex]

Now to find the number of months when both the cost will be the same so we will make both the equation equal we get;

[tex]298.90+68.70x=74.80x[/tex]

Combining the like terms we get;

[tex]74.80x-68.70x=298.90\\\\6.1x=298.90[/tex]

Dividing both side by 6.1 we get;

[tex]\frac{6.1x}{6.1}=\frac{298.90}{6.1}\\\\x=49[/tex]

Hence After 49 months the total cost of the two systems will be equal.

Answer:

All the people who have tried their beverages will be the representing population.

Step-by-step explanation:

If people in the United States like the new logo of a beverage company that the company wants to determine.

Now, we have to choose from the given options that represent the population.

From my point of view, option fourth option gives the correct answer.

Therefore, all the people who have tried their beverages will be the representing population.

Answer:

Every person in the united states