9th grade math i need help in

9th Grade Math I Need Help In

Answers

Answer 1

The fourth term in the sequence is 7.

What is Geometric Progression?

Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.

This ratio is common ratio.

Given is the first term of a sequence.

c(1) = 56

Also, there is given an nth term of the sequence.

c(n) = c(n - 1) [tex]\frac{1}{2}[/tex]

This means that every term in the sequence is the half of the preceding term.

So this is a geometric sequence with a common ratio of 1/2.

nth term of a geometric sequence = a. rⁿ⁻¹, where a is the first term and r is the common ratio.

Given, first term = 56 and we found r = 1/2

c(4) = 56 × ([tex]\frac{1}{2}[/tex])⁴⁻¹ = 7

Hence the fourth term in the given sequence is 7.

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Related Questions

HELP ! A phone company offers two monthly plans. Plan A costs $30 plus an additional $0.03 for each minute of calls. Plan B has no initial fee but costs $0.18 for each minute of calls. What is the cost when the two plans cost the same for a set number of minutes?
Group of answer choices

$100

$200

$36

$30

Answers

The cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Plan A costs $30 plus an additional $0.03 for each minute of calls.

This can be expressed in equation as

y=30+0.03x

Plan B has no initial fee but costs $0.18 for each minute of calls.

y=0.17x

Now we have to find the cost when the two plans cost the same for a set number of minutes

30+0.03x=0.18x

30=0.18x-0.03x

30=0.15x

Divide both sides by 0.15

x=200

when the number of minutes of calls is 200, the two plans cost the same.

To find the cost when the two plans cost the same,

we can substitute x = 200 into either expression for Cost_A or Cost_B:

Cost_A = 30 + 0.03(200) = $36

Cost_B = 0.18(200) = $36

Therefore, the cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.

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Michelle sells ice cream bars at the beach. In addition to a fixed salary, she earns a commission for each ice cream bar she sells. The table shows Michelle's total earnings, y, from selling x bars of ice cream:

Ice Cream Sales and Earnings
Number of Bars Sold (x) Total Earnings (dollars) (y)
0
50
1
56
2
62
3
68
Which equation best shows the relationship between x and y? (1 point)

y = x + 50
y = 6x + 50
y = 6x + 56
y = x + 56

Answers

Answer:

y= 6x+50

Step-by-step explanation:

y= 6x+50

The Beach Shack rents boats for $60 the first hour and $30 each hour after that. The Surf
Shop rents boats for $40 an hour. At what number of hours are the rental fees for a boat
from each shop equal?

Answers

Answer:

After 3 hours.

Step-by-step explanation:

60 + 30x = y

40x = y

Beach Shack:

60, 90, 120, 150, 180, 210

Surf Shop:

40, 80, 120, 160, 200

what is 1.18x4?
PLEASE I NEED HELP

Answers

Answer:

4.72

Step-by-step explanation:

for essy calculation remove the decimal point

[tex] \frac{0.18}{100} [/tex]

=

[tex] \frac{18}{100} [/tex]

then multiply by 4

you will get

[tex] \frac{18 }{25} [/tex]

= 4.72


A bag contains 12 marbles. Three are green, 7 are orange, and 2 are white. A marble is randomly selected. What is the probability that it is not orange?

Answers

The probability that the bag is not orange is given as follows:

p = 5/12.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

In this problem, the parameters are given as follows:

A total amount of 12 marbles.A desired amount of 12 - 7 = 5 non-orange marbles.

Hence the probability that the bag is not orange is given as follows:

p = 5/12.

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Which statement describes the relationships between x and y in these two equations?


y = 13x


y = x + 13


In y = 13x, the value of y is 13 more than the value of x, and in y = x + 13, the value of y is 13 times the value of x.


In y = 13x, the value of y is 13 times the value of x, and in y = x + 13, the value of y is 13 more than the value of x.


In y = 13x and y = x + 13, the value of y is 13 times more than the value of x.

In y = 13x and y = x + 13, the value of y is 13 more than the value of x.




Which situation can be represented by y=12x?



Frank is y years old. This is half the age of his older sister, Margret, who is x years old.



Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars.



A recipe calls for x eggs. This is half the number of required bananas which is represented by y.



The town of Maryville has x people. This is half as much as the town of Sunnyside which as y people.

Answers

The statement that describes the relationship is: option B.

The situation that can be represented by the equation y = 12x is: B. "Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars."

How to Describe the Relationship between x and y in a n Equation?

In the equation y = 13x, y is equal to 13 times x. This means that y increases by a factor of 13 for every increase in x.

In the equation y = x + 13, y is equal to x plus 13. This means that y is always 13 more than x.

Therefore, the answer is:

B. "In y = 13x, the value of y is 13 times the value of x, and in y = x + 13, the value of y is 13 more than the value of x."

The equation y = 12x means that y is equal to 12 times x. In the given situation, Yvonne has y dollars and Marie has x dollars. Yvonne has 12 times more dollars than Marie, and one half more than Marie. Therefore, the situation can be represented by y = 12x.

The correct answer is:

B. "Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars."

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the line pot shows the weight of 10 eggs laid by one head what is the total weight and an ounces of the four heaviest eggs ​

Answers

The total weight of the four heaviest eggs, in ounces, is 8 ³ / ₄ ounces .

How to find the total weight ?

Given the line plot, the weights of the heaviest eggs are :
2 ¹ / ₂ , 2 ¹ / ₄ , 2, 2

This is because these are the highest numbers on the line plot.

The total weight of these four heaviest eggs is :

= 2 ¹ / ₂ +  2 ¹ / ₄ +  2 + 2

= 4 ³ / ₄ + 4

= 8 ³ / ₄ ounces

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How many feet apart is 535 and -8

Answers

Answer:

543 fee

Step-by-step explanation:

The difference between 535 and -8 is the distance between them, but it is not specified in what unit this distance should be measured. If you meant to find the difference in feet, then:

535 - (-8) = 535 + 8 = 543

So the distance between 535 and -8 in feet is 543 feet.

What is the area of the base of this right triangular prism?

Answers

Check the picture below.


Hitler traveled 75 kilometers in 90 minutes. If he travels at the same speed, how
many kilometers would Hitler cover in 30 minutes?


A.20
B.24
C.25
D.30

Answers

Step-by-step explanation:

You can make a ratio. Put the first part of the question together and put the second part together.

[tex] \frac{75}{90} = \frac{x}{30} [/tex]

Next we cross multiply

[tex](75)(30) = 90x[/tex]

[tex]2250 = 90x[/tex]

Lastly we divide by 90

[tex]x = 25[/tex]

C bcs 90 divided by 3 is 30 and then 75 divided by 3 is 25 so every 30 minutes he travels 25 kilometers

The Community Swimming Pool charges a flat rate of $50 for a birthday party plus $2.50 for each person. Deborah can’t spend more than $100. How many friends can she invite?

Answers

Answer:

she can only invite 20 people max

Step-by-step explanation:

2.50x20= 50 + fee =100

Graph and find he area of the figure with vertices (-2, -2), (0, 0), (3, -2)

Answers

Answer:

see image,

Area = 5 units^2

Step-by-step explanation:

Graph three points to make a triangle.

Use

Area = 1/2•b•h

to find the area.

Fortunately, the base is horizontal and the height is vertical, so we can just count the squares to find those lengths. (If they aren't horizontal and vertical, then you need distance formulas)

see image.

Change each algebraic fraction into an equivalent fraction with the denominator of 24a^3b^2.

Answers

The algebraic fraction which is an equivalent fraction with the denominator 24a^3b^2 is 15b/24a^3.

To find an equivalent fraction with the denominator 24a^3b^2, we need to find a common denominator for the two fractions 5b and 8a^3. This common denominator is 24a^3b^2.

To find an equivalent fraction for 5b, we can multiply both the numerator and denominator by the same factor to obtain the desired denominator. To do this, we need to find a factor that would give us a denominator of 24a^3b^2 when multiplied with 8a^3.

The factor that would give us a denominator of 24a^3b^2 is 3.

So, the equivalent fraction for 5b with the denominator 24a^3b^2 is (5b * 3)/(8a^3 * 3) = 15b/24a^3.

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Camilla took a $23,500 secured auto loan that
allows her to make no payments for 18
months. If interest is still compounded
monthly at a rate of 6.3%, what will her
balance be in 18 months when she starts
making payments?

Answers

7.3% and 73.6 and 937.666 8376.77

an angle of a pentagon is 120 the other on angle are equal to one another find the side of the other angle​

Answers

Answer:

  105°

Step-by-step explanation:

You want the measure of the remaining angles of a pentagon if one of the angles is 120° and the remaining angles are congruent to each other.

Pentagon

The sum of the interior angles of a pentagon is 180* × (5 -2) = 540°. If one of the angles is 120°, the sum of the other four is ...

  540° -120° = 420°

Then each of those four congruent angles has a measure of ...

  420°/4 = 105°

The size of the other angles is 105°.

HELP DUE TONIGHT!
Find the volume of a cone with a base diameter of 6 in and a height of 6 in. Write the exact volume in terms of , and be sure to include the correct unit in your answer.​

Answers

The volume of the cone with a base diameter of 6in and height of 6in is 6π in³.

What is the volume of the cone?

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is radius of the base, h is the height of the cone and π is constant pi.

Given the data in the diagram;

Diameter d = 6inRadius r = diameter/2 = d/2 = 6in/2 = 3inHeight h = 6Volume V = ?

Plug the given values into the above formula and solve for the volume of the cone.

V = (1/3) × π × r² × h

V = (1/3) × π × ( 3in )² × 6in

V = 18π/3 in³

V = 6π in³

Therefore, the volume of the cone is 6π cubic inches.

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What is 7 Roman numbers?

Answers

Answer:

VII

Step-by-step explanation:

tell me the answer please how many students are vegetarian

Answers

Answer:

2 boys must be vegetarian.

If all 34 girls were vegetarian, there would have to be 2 boys to add up to 36.

I need two linear equations representing the situation. The information is in the picture

Answers

Answer:

    [tex]x - y = 14[/tex]

    [tex]x + y = 58[/tex]

Step-by-step explanation:

x = Number of tickets

y = Number of tickets your friend sells


Together, you and your friend sell 58 tickets: [tex]x + y = 58[/tex]

You sell 14 more tickets than your friend:        [tex]x = y + 14[/tex]
                                                                           = [tex]x -y = 14[/tex]


System of linear equations:

                     

                     [tex]x - y = 14[/tex]….(equation i)

                     [tex]x + y = 58[/tex]….(equation ii)

   

Find the measure of

Answers

A. 63

The angle shown is 90 degrees, if you take 90 and subtract 27 you get 63.

find the angle of a sector if the radius is 14cm and area of the circle is 462cm^2​

Answers

Answer: its 270.1087 degrees

Step-by-step explanation:

Please answer with the work shown

Answers

The area and the perimeter of the various given figures above are listed below:

1.) area=70 cm²

perimeter = 29cm

2. area= 80mm²

perimeter = 36mm

3.) area=108m²

perimeter = 42m

4.) area=72cm²

perimeter = 34cm

How to calculate the area and perimeter of the given figures above?

For figure 1;

The area of the given figure = length×width.

Where;

Length = 7cm, width = 10

area = 7×10 = 70 cm²

The perimeter = summation of the whole sides.

= 10+7+5+4+3

= 29cm

For figure 2;

The area of the given figure = length×width.

Where;

Length = 8 mm; width = 10mm

area = 8×10 = 80mm²

The perimeter = 6+8+6+10+(8-6)+(10-6)

= 6+8+6+10+2+4

= 36mm

For figure 3;

The area of the given figure = length×width.

Where;

Length= 6+3 = 9m

width ,= 8+5 = 12m

area = 9×12 = 108m²

The perimeter: 2( 9+12) = 42m

For figure 4;

The area of the given figure = length×width.

Where;

Length= 8cm

width = 4+5 = 9cm

area = 8×9 = 72cm²

The perimeter = 6+4+5+8+(5+4)+(8-6)

= 6+4+5+8+9+2

= 34cm.

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HELP DUE TONIGHT!
Find the volume of a cone with a base radius of 4 m and a height of 12 m. Write the exact volume in terms of , and be sure to include the correct unit in your answer.​

Answers

The volume of the cone is 64π

How to determine the volume of teh cone

From the question, we have the following parameters that can be used in our computation:

Height, h = 12 m

Radius, r = 4 m

The volume is calculated s

V = 1/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 1/3π * 4² * 12

Evaluate

V = 64π

Hence, the volume is 64π

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Help m please,,,,,,,,,,,,

Answers

Answer:

-2

Step-by-step explanation:

?

substitution y=2y-2 and y=2x-5y=1

Answers

Answer:

We can solve for y in the equation y = 2y - 2 by substituting y = 2x - 5.

Starting with y = 2y - 2, we substitute y = 2x - 5:

2x - 5 = 2(2x - 5) - 2

Expanding the right side:

2x - 5 = 4x - 12

Next, we isolate y by subtracting 2x from both sides:

-2x - 5 = 4x - 12

Adding 2x to both sides:

-5 = 6x - 12

Adding 12 to both sides:

7 = 6x

Finally, we divide both sides by 6 to solve for x:

x = 7/6

So, y = 2x - 5 = 2(7/6) - 5 = 7/3 - 5 = -14/3.

Therefore, y = -14/3 is the solution to the system of equations y = 2y - 2 and y = 2x - 5.

Step-by-step explanation:

1/4 x = 3/2
FIND
X
PLEASE

Answers

The answer to your question is X=6

Lin rolls a six-sided number cube then chooses one card from a deck of three cards numbered 1 through 3. What is the probability that the number cube and the card have the same number?

Answers

The probability that the number cube and the card have the same number is 2/39.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Outcomes of cube = { 1, 2, 3, 4, 5, 6}

Outcome of Card = {1, 2, 3} from each group.

So, we have three number both in common as {1, 2, 3}

So, the probability that the number cube and the card have the same number is

= 1/6 x 16/52

= 8/156

= 2/39

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HELP PLEASE i need the answer for as may as possible o have done the first two!!( A1 and A2) WITH AN EXPLANATION PLEASE IM SO CONFUSED

Answers

1. The values of x in the equation are 1 and 10.

2. The values of x are 1 and -4.

How to calculate the values

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

1. y = x²

y = 11x - 10

Combine both variables

x² - 11x + 10

x² - x - 10x + 10

x(x - 1) - 10(x - 1)

x - 10 and x - 1 = 0

x = 10 and 1

2. y = x².

y + 3x = 4

x² + 3x - 4

x² +4x - x - 4

x(x + 4) - 1(x + 4)

(x - 1)(x + 4)

x = 1 and -4

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Which choice is equivalent to the expression below?
√50 -√2

Answers

The simplified form of the expression √50 - √2 is 4√2.

What is the simplified form of the expression?

Given the expression in the question;

√50 - √2

To evaluate, first we simplify each term

√50 - √2

Factor out 25 from 50

√( 25(2) ) - √2

Now, rewrite 25 as 5²

√( 5²(2) ) - √2

Take the square root of 5² to pull it out of the radical

5√2 - √2

Now, subtract √2 from 5√2

4√2

Therefore, the simplified form is 4√2.

Option C) 4√2 is the correct answer.

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if the number of bacteria in a colony doubles every 384 hours and there is currently a population of 2,150 bacteria, what will the population be 1,152 hours from now?

Answers

The population be 1,152 hours from now will be 17200

What is exponential growth?

Exponential growth is a process of increasing a quantity over time. It occurs when the rate of change of a quantity with respect to time is proportional to the itself.

Given that, the number of bacteria in a colony doubles every 384 hours and there is currently a population of 2,150 bacteria,

The exponential growth law for this problem is :-

p(t) = 2150(2)ⁿ/₃₈₄

where t is in hours. Plug t = 1152 into the equation and evaluate.

p(1152) = 2150(2)¹¹⁵²/₃₈₄

= 2150(2)³

= 17200

Hence, the population be 1,152 hours from now will be 17200

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