Four months ago, Cynthia signed up to receive email notifications to remind her to change her contact lenses,
Cynthia's first email arrived 9 days after she set up the notifications, and her second email arrived 14 days after
the first. Emails continued to arrive every 14 days.
Assuming n is a positive integer, which function gives the number of days, c(n), after Cynthia set up the
notifications that her nth email arrived?

Answer:

3rd option

Step-by-step explanation:

([tex]\frac{f}{g}[/tex] )(x)

= [tex]\frac{f(x)}{g(x)}[/tex]

= [tex]\frac{2x^2-5x-3}{2x^2+5x+2}[/tex] ← factorise numerator and denominator

= [tex]\frac{(x-3)(2x+1)}{(x+2)(2x+1)}[/tex] ← cancel (2x + 1) on numerator/ denominator

= [tex]\frac{x-3}{x+2}[/tex]

Step-by-step explanation:

4a) The pressure of a basketball can have a large tolerance.

b) Writing an exam has a very low tolerance in terms of time allotment.

c) The amount of milk in a carton has a low tolerance.

Answer:

400%

Step-by-step explanation:

the question is asking what percent of 50 is 200

we can set up this proportion to find 'x' (the original price)

200/50 = x/100

cross-multiply to get:

50x = 20,000

x = 400%

Answer:

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Step-by-step explanation:

Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)

Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)

A.

Let

x = number of packets of strawberry wafers

y = number of packets of chocolate wafers

x + y = 22

3x + y = 30

B. Solve the equation in A using elimination method

x + y = 22 (1)

3x + y = 30 (2)

subtract (1) from (2) to eliminate y

3x - x = 30 - 22

2x = 8

x = 8/2

x = 4

Substitute x = 4 into (1) to solve for y

x + y = 22 (1)

4 + y = 22

y = 22 - 4

y = 18

x = number of packets of strawberry wafers = 4 packets

y = number of packets of chocolate wafers = 18 packets

Answer: p(6) represents how the number of bacteria after 6 days.

Simply replace each x with 6 to go from the first sentence to the answer shown in bold above.

Answer:

I think point D is the answer.

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Answer:

ok from this we know the angle of this triange are

90+47+x=180

x=43

with these if we use the proper formula we know that the two other sides are

about 21 and 23

since the top side is longer we know that X=23

Answer:

their hopes will come true

Step-by-step explanation:

Using the formula for calculating amount expressed as;

A = P(1+r)^t

Given

P = $15000

r = 9.6% = 0.096

t = 15years (18-3)

Substitute;

A = 15,000(1+0.096)^15

A = 15,000(1.096)^15

A = 15000(3.9551)

A = 59,326.6

As we can see, the money is even more than twice the original amount, this shows that their hopes will come true

Answer:

a. Yes, the $15,000 will double each 7.5 years. In 15 years, it will double twice.

Answer:

See below.

Step-by-step explanation:

No, a reasonable estimate is around 7 * 6 = 42.

Round $6.99 to $7 and multiply by the 6 family members.

Answer: 23.4 ft^3

Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.

Answer:

v ≈ 34.95ft^3

Step-by-step explanation:

h = 9.8ft

A^B = 10.7ft

V=A^B

h/3 = 10.7 • 9.8/3

≈34.95333ft^3

≈34.95ft^3

Answer:

1.82142857143 or 1 23/28

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

51/28 or 1 23/28

Step-by-step explanation:

The LCD here is 9.  Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.

Then divide 51/9 by 28/9:  Equivalently, invert the divisor (28/9) and multiply:

(51/9)(9/28) = 51/28 or 1 23/28

5 2/3 divided by 3 1/9 is 1 23/28.

Answer:

A, E, F

Step-by-step explanation:

With this question, it's mostly just trial and error.

[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.

[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.

[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.

[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.

[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.

[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.

Therefore, A, E and F are true.

**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!

Answer:

A x=59 is yr correct answer

hope it helps

Answer:

[tex]x = 59[/tex]

Step-by-step explanation:

[tex](x + 17) = 76[/tex]

[tex]x = 76 - 17[/tex]

[tex]x = 59[/tex]

Answer:

where's the diagram can you tell

Answer:

3,680 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is:

length x width x height

Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.

The volume of Mr. Tai’s living room is:

10 x 18 x 8 = 1,440 cubic feet

The volume of his family room is:

14 x 20 x 8 = 2,240 cubic feet

Add the volumes of both figures:

1,440 + 2,240 = 3,680

Hope this helps!

Answer:

D

Step-by-step explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

 [tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]

for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number

[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]

so the points are aligned

Answer:

D (1, 2), (2, 4), (4, 8)

Step-by-step explanation:

Hope this helps

The simplified form of 10⁹/10⁷ is 100.

The given expression is,

10⁹/10⁷

Since we know that,

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Since we also know that,

When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,

Therefore,

we can write the given expression

10⁹/10⁷ =  [tex]10^{(9-7)}[/tex]

            = 10²

            = 10 x 10

            = 100

Hence,

10⁹/10⁷ = 100

To learn more about exponent visit

https://brainly.com/question/31242910

#SPJ6

Answer:

the sum of the remaining exterior angles is 174⁰

Step-by-step explanation:

Given;

the measure of two exterior angles of a decagon = 97° and 89°

The total sum of exterior angles of a polygon is 360⁰

let the sum of the remaining exterior angles = x

sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰

x + 186⁰ = 360⁰

x = 360⁰ - 186⁰

x = 174⁰

Therefore, the sum of the remaining exterior angles is 174⁰

Answer:

[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]

Step-by-step explanation:

Given

[tex]4m - 2m^4 - 6m^2 + 9[/tex]

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]

Answer:

D

Step-by-step explanation:

Answer:

y = 0.75x + 12

Step-by-step explanation:

The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

y = 12x + 0.75

y = 0.75x + 12

y = 12x − (775

y = 0.75x − 12

y = total cost of a child's toy

Cost of each battery = $0.75

Number of batteries = x

Cost of the toy = $12

Therefore,

total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries

y = 12 + 0.75 * x

y = 12 + 0.75x

y = 0.75x + 12

Answer:

Pretty sure its 30

Step-by-step explanation:

Hope this helps!

Your answer is correct .

Answer:

EF~GI

Step-by-step explanation:

I got it right on the quiz:)

Answer:

If the suspect goes to prison, then he was found guilty.

Step-by-step explanation:

Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.

Answer:

-2/5

Step-by-step explanation:

The slope will be same , that is -2/5 .

Answer:

[tex]y=-\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (6,-6) and (-2,-2)

[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{1}{2}x+b[/tex]

Plug in one of the given points and solve for b

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

Add 3 to both sides

[tex]-6+3=-3+b+3\\-3=b[/tex]

Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:

[tex]y=-\frac{1}{2}x-3[/tex]

I hope this helps!

Answer:

a=146°

Step-by-step explanation:

a+34 =180 degree (being linear pair

a=180-34

a=146 degree

Note: A linear pair is a pair of adjacent angles formed when two lines intersect.

Answer:

$640.25

Step-by-step explanation:

Answer:

$640.25

Step-by-step explanation: