16) through: (1,1), slope = 6
A) y = 5x–5. B) y = -2x - 5
C) y=-6x – 5 D) y = 6x - 5

Please help
​

Answer:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

Step-by-step explanation:

If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.

[tex]\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5[/tex]

Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:

[tex]a_{n}=a_{1}\times(r)^{n-1}[/tex]

Here:

[tex]a_{n}[/tex] is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.

[tex]a_{1}[/tex] is the first term which is 1.2 in this case.

r represents the common ratio which is 2.5.

Using these values we get:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

This formula can be used to represent the given sequence.

The value of x is 5 for the given statement.

An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.

The statement given in the question is

Six less than twice a number x is four​

The equation that can be formed by this statement is

2x - 6 = 4

on solving the equation

2x = 10

x=5

The value of x is 5 for the given statement.

The complete question is

Six less than twice a number x is four​ , Determine the value of x.

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Answer:

b(3) = -16

Step-by-step explanation:

b(1) = -2

b(n) = b(n-1) - 7

so

b(2) = b(1) - 7 = -2 - 7 = -9

b(3) = b(2) - 7 = -9 - 7 = -16

ANSWER

[tex] \frac{237}{10} \: or \: 23 \frac{7}{10} [/tex]

EXPLANATION

We want to simplify:

[tex]\frac{23}{5} + \frac{37}{5} + \frac{117}{10} [/tex]

The LCM of the denominators is 10.

We collect LCD to obtain.

[tex] \frac{23 \times 2 + 37 \times 2 + 117}{10} [/tex]

Carry out the multiplication in the numerator to get,

[tex]\frac{46 +74 + 117}{10} [/tex]

Add the numerator to get:

[tex] \frac{237}{10} = 23 \frac{7}{10} [/tex]

Answer:

[tex]1.2\ hours[/tex]

Step-by-step explanation:

we know that

Joey can paint a room in 2 hours

That means

Joey can paint the 100% of the room-------> 2 hours

so

In 1 hour ------> can paint 100%/2=50%

Chelsea can paint a room in 3 hours

That means

Chelsea can paint the 100% of the room-------> 3 hours

so

In 1 hour ------> can paint (100%/3)=33.33%

therefore

Joey and Chelsea in 1 hour can paint -----> 50%+33.33%=83.33%

by proportion

[tex]\frac{1}{83.33}\frac{hour}{\%} =\frac{x}{100}\frac{hour}{\%}\\ \\x=100/83.33\\ \\ x=1.2\ hours[/tex]

Answer:

60 square units.

Step-by-step explanation:

First, work out what the length of of the other leg is

[tex]120 \times 2 = 240 \: 240 \div \: 24 = 10[/tex]

Next, to work out the hypotenuse you add the squares of the legs.

[tex] {24}^{2} + 10 ^{2} = 676[/tex]

Then square root the answer from the previous calculation.

[tex] \sqrt{676} = 26[/tex]

And finally add the sides together.

26+24+10= 60 square units

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. Then the perimeter of the triangle is 60 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A right triangle has an area of 120 square units and a leg length of 24 units.

Then the other length of the triangle will be

Area = 1/2 (b x h)

120 = 1/2 (24 h)

240 = 24h

h = 10

Then the third length of the triangle will be given by the Pythagoras theorem.

H² = b² + h²

H² = 24² + 10²

H² = 576 + 100

H² = 676

H = 26

Then the perimeter of the right-angle triangle will be

Perimeter = 10 + 24 + 26

Perimeter = 60 units

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Answer:

the area is multiplied by 9.

Step by Step Explanation:

Let x be the base

Let y be the height

Since all dimensions were multiplied by the same number, 3,

Original area,

1/2 × x × y = (1/2)xy

New area,

1/2 × 3x × 3y = (1/2)(9)xy

Hence, area is multiplied 9 times.

Answer:

x=320+t-s

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

C.

but whatever you do, don't put A or E cause it symbolizes a graph that is having a decrease in incline but this graph shows a positive incline

There are 36 sunny days

1:2

1 + 2 = 3

54/3 = 18

1 • 18 = 18

2 • 18 = 36

There are 36 sunny days.

Hope this helps!

If it does then I would appreciate it if you could make me brainliest.

Answer:

The pennies

Step-by-step explanation:

We can create a geometric equation for the pennies and an arithmetic equation for the dollars.

The format for a geometric equation is

[tex]y=a_1(\frac{1-r^n}{1-r} )[/tex]

If we plug in the values we already know we should get the equation.

[tex]y=2^x-1[/tex]

Now we can plug in the number of days in a year for [tex]x[/tex] to find how much money we get.

[tex]2^{365}=7.52*10^{109}[/tex]

Which is basically 752 with 107 zeros following it.

Then we can divide this number by 100 to find the number of dollars it is.

We get 752 with 105 zeros following it.

Now we can find the arithmetic equation for the dollars.

We can see that 10 dollars is being added every time.

Use the formula.

[tex]a_n=a_1+m(n-1)[/tex]

We can plug in.

[tex]a_n=10+10(n-1)[/tex]

Now we can substitute 52 for [tex]x[/tex] in the equation.

[tex]a_{52}=10+10(52-1)[/tex]

[tex]a_{52}=10+510 \\ \\a_{52}=520[/tex]

So you'll be getting 520 dollars at the end of the year, which is far less than the amount of money you get from the pennies.

Answer:

I believe the correct answer would be 220 meters.

Step-by-step explanation:

If one centimeter equals 2 meters, then you would have to multiply the width (5.5 cm.) by 2 and the length (10 cm.) by 2. After you multiply those, you get 11 meters for the width and 20 meters for the length. You then multiply those by each other, so 11x20, and you get 220.

The actual length and width will be 20 meters and 11 meters. Then the area of the rectangle will be 220 square meters.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W units

The scale for a drawing of the tennis court is 1 centimeter = 2 meters. Then the area of the actual tennis court will be

Width = 5.5 cm

Length = 10 cm

Then the actual length and width will be

L = 10 x 2 = 20 meters

W = 5.5 x 2 = 11 meters

Then the area of the rectangle will be

A = 20 x 11

A = 220 square meters

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Answer:

500,000 grams

Step-by-step explanation:

1 kg = 1,000 g

500*1,000=500,000

Answer:

The mean would be 14.4 hours.

Step-by-step explanation:

In order to find the mean, or average, of the numbers, you would add all the numbers together.

17 + 15 +14 + 14 + 12 which equals 72

Then, you take the total which is 72, and divide it by how many numbers you added together which is 5.

72/5 = 14.4

Answer:

14.4

Step-by-step explanation:

To find the mean in math, you add all of your numbers together, the divide by how many numbers you added together. So add 17,15,14,14, and 12 together to get 72. Divide 72 by 5 to get 14.4

Answer:

55790000  :p :)

Answer: it would be 55,709,000

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

What you need to do is add both 48 and 240 together. That gives you a total of 288 flowers. Now you need to divide 48 by 288 because that will give you your percentage. In this case, it's 16%.

Answer:

Here.

Step-by-step explanation:

You add the number of flowers together to get the total number- 48 + 240 is 288.

48 should be 16.66%, as 288 divided by 6 is 48.

(I am not entirely sure about this answer.)

Answer:

A on the botton axis and B on the left axis

1. Multiply the amount of iced tea mix by 1/3 to get the amount of water.

Explanation:

As seen in the graph, for every 1 cup of water, 3 tablespoons of the mix are needed.

3 * X = 1

X= 1/3

2. Use the equation y=3x

X=18 , y=cups of water needed

Y= 3*18

Y= 54 cups of water are needed

Answer:

The number could be [tex]x=-6[/tex]  or [tex]x=-1/3[/tex]

Step-by-step explanation:

Let

x-----> the number

Remember that

The reciprocal of a number is 1 divided by the number

we know that

[tex]x+2(\frac{1}{x})=-\frac{19}{3}[/tex]

Solve for x

Multiply by 3x both sides

[tex]3x^{2} +6=-19x\\ \\ 3x^{2}+19x+6=0[/tex]

Solve the quadratic equation by graphing

The solutions are [tex]x=-6, x=-1/3[/tex]

see the attached figure

Verify both solutions

For [tex]x=-6[/tex]

[tex]-6+2(-\frac{1}{6})=-\frac{19}{3}[/tex]

[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true

For [tex]x=-1/3[/tex]

[tex]-(1/3)+2(\frac{1}{(-1/3)})=-\frac{19}{3}[/tex]

[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true

The answer is:

D. [tex](x-6)+5[/tex]

The answer is c because it’s the only one showing division

The measure of angle A can be calculated using trigonometry and the components of a known vector. The relationship of the components forms a right triangle, the properties of which can be used to find the measure of angle A.

The measure of angle A can be calculated using trigonometry if we know the distances from the problem. By knowing the scalar components Ax and Ay of vector A, we can find its magnitude and direction angle. In this case, the direction is the angle the vector forms with the positive direction on the x-axis, measured in the counterclockwise direction. The lengths A, Ax, and Ay form a right triangle, related by the Pythagorean theorem.

If the vector A is known, then its magnitude A and its angle are known. To find Ax and Ay, we use the following relationships for a right triangle: Ax = Acose. If the vector lies in the first or the fourth quadrant, where component Ax is positive, angle A is identical to the direction angle. Conversely, when the vector lies in the second or third quadrant, where component Ax is negative, the direction angle is A = 0 + 180°.

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The measure of angle A in the given figure is equal to 20 degrees.

To solve this question we can use the property of a triangle that the sum of all angles in a triangle is equal to 180 degrees.

We have been given three different angles in this figure which are: 90 degrees, 71x-1, and 20x.

Let us find the value of x before finding the value of angle A

71x-1 + 20x + 90 = 180

71x + 20x = 180 - 90 + 1

91x = 91

x = 1

Now we can calculate the value of angle A as:

20x

= 20 (1)

= 20 degrees

The measure of angle A is 20 degrees.

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Answer:

$54

Step-by-step explanation:

First

45 times .05= 2.25

Second

45 plus 2.25

Third

45 times .15= 6.75

Fourth

45+2.25+6.75

Answer:

$54

Step-by-step explanation:

Okay. if the bill in tax was 5% and the tip is 15% just add them up to make it easier. Now, you have 20%, and you have to now find 20% of 45, make 20% into .20, do .20x45 which equals 9 which represents $9. Finally, add $9 (from tip and tax) to $45 (how much the food cost) = $54

No problem!

Answer:

c. y= cos2/3x

Step-by-step explanation:

ANSWER

C.

[tex]y = \: \cos( \frac{2}{3}x ) [/tex]

EXPLANATION

The period of a cosine function is calculated using the formula;

[tex]T= \frac{2 \pi}{b} [/tex]

Therefore , if the period is 3π, then

[tex] \frac{2 \pi}{b} = 3\pi[/tex]

We solve b to obtain,

[tex]b = \frac{2}{3} [/tex]

This implies that, the given cosine function must have an equation of the form

[tex]y = a \: \cos( \frac{2}{3}x ) [/tex]

Among the options, the function in this form is:

[tex]y = \: \cos( \frac{2}{3}x ) [/tex]

The correct choice is C.

Answer: The answer is the third one "1 25/48"

Answer:

C

Step-by-step explanation:

Before multiplying perform the addition in the parenthesis

2 [tex]\frac{1}{6}[/tex] + [tex]\frac{7}{8}[/tex]

Change the mixed number to an improper fraction

2 [tex]\frac{1}{6}[/tex] = [tex]\frac{13}{6}[/tex], thus

[tex]\frac{13}{6}[/tex] + [tex]\frac{7}{8}[/tex]

The fractions require to have a common denominator before adding

The lowest common multiple of 6 and 8 is 24

Multiply numerator/denominator of first fraction by 4

Multiply the numerator/denominator of the second fraction by 3

= [tex]\frac{13(4)}{6(4)}[/tex] + [tex]\frac{7(3)}{8(3)}[/tex]

= [tex]\frac{52}{24}[/tex] + [tex]\frac{21}{24}[/tex] = [tex]\frac{73}{24}[/tex]

Now multiply this result by [tex]\frac{1}{2}[/tex], thus

[tex]\frac{1}{2}[/tex] × [tex]\frac{73}{24}[/tex]

= [tex]\frac{1(73)}{2(24)}[/tex]

= [tex]\frac{73}{48}[/tex]

= 1 [tex]\frac{25}{48}[/tex]

Answer:

8/10

Half of 10 is 5 so 5/10 are blonde + 3/10 are brunette so you get 8/10 but in its simplest form would be 4/5

Answer:

8/10

Step-by-step explanation:

we know it is 8/10 because half of ten is five and 5/10 are blonde, then we add 3/10 which are brunette so we therefore get 8/10 or 4/5 if we simplify it to its simplest form!

×║hope this helps you║×

Answer: The formula for the volume of a polygon is  1/2 x perimeter x apothem

Answer:

Step-by-step explanation:

therefore, force F = m*g  

= 0.02 kg * 9.8 m/s^2  

= 0.196 Newton Force in the MKS system of units is measured in NEWTONS and results from a product of mass in Kg and acceler. the formula is  s o the force=mass x acceleration. and the answer is .02x9.8^2= 1.6928ation in meters/sec^2

The electric force of a charged balloon sticking to the ceiling is due to the interaction between the balloon and the induced positive charge in the ceiling. This force is related to the principle of electrostatics and can theoretically be calculated using Coulomb's Law, but would require more details. However, for the balloon to remain stuck to the ceiling, this electrostatic force must be greater than the weight of the balloon.

To calculate the electric force of a charged balloon sticking to the ceiling, you first need to consider the scenario as an interaction between the charged balloon and the induced charge in the ceiling. This scenario is related to the principle of electrostatics, where like charges repel and different charges attract. It is the electrostatic force that is making the balloon stick to the ceiling.

The balloon gets charged by picking up extra electrons (negative charge) when rubbed. When brought near the ceiling, these extra electrons in the balloon repel the electrons in the ceiling, causing the area of the ceiling near the balloon to be positively charged. This induced positive charge in the ceiling then attracts the negatively charged balloon. The force between the balloon and the ceiling can be caluclated using Coulomb's Law, which states that the force between two charges is directly proportional to the product of their charges, and inversely proportional to the square of the distance between them. However, to accurately calculate this force using Coulomb's law, we need more information such as the amount of charge on the balloon and the distance from the balloon to the ceiling.

Finally, for a balloon to stick to the ceiling, the electrostatic force must be greater than the weight of the balloon. The weight of the balloon can be calculated using the formula Weight = mass x gravity. In this case, the mass of the balloon is 0.020kg and the gravitational force is approximately 9.8 m/s². Therefore, the weight is 0.020kg x 9.8 m/s² = 0.196N. So for the balloon to stick to the ceiling, the electrostatic force must be greater than 0.196 N.

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Answer:

it 100 you would do 20%of 500 and you 100

Step-by-step explanation:

Answer: 100

Step-by-step explanation: 20% of 500 Is equal to 100. It’s also 1/5 in a fraction

Combine like terms:

3 x 2 - 2x + 7 - 57 - 4x + 10

-34 - 6x