Celia made 3 1/2 cups of rice. A serving of rice is 2/3 cup. How many servings did ceila make?

Answers

Answer 1

Answer:

Celia make [tex]5\frac{1 }{4}[/tex] servings.

Step-by-step explanation:

Given:

Celia made 3 1/2 cups of rice.

A serving of rice is 2/3 cup.

Now, to find the number of servings Celia make.

Celia made [tex]3\frac{1}{2} =\frac{7}{2}\ cups.[/tex]

So, to get the number of servings we use unitary method:

If 2/3 cup of rice is of 1 serving.

So, 1 cup of rice is of = [tex]1\div\frac{2}{3}servings.[/tex]=[tex]\frac{3}{2}[/tex]

Then 7/2 cup of rice is of  [tex]=\frac{7}{2} \times \frac{3}{2}[/tex]

                                           [tex]=\frac{21}{4}=5\frac{1}{4}.[/tex]

Thus, 7/2 cup of rice is of [tex]5\frac{1 }{4}[/tex] servings.

Therefore, Celia make [tex]5\frac{1 }{4}[/tex] servings.

Answer 2

Ceila made 5.25 or 5 ¹/₄ servings of rice.

Ceila made 3 1/2 cups of rice. In improper fractions this is:

3 1 /2 = 7/2

The number of servings made by Ceila can be found by:

= Number of cups of rice Ceila made / Cups of rice in a serving

= 7 / 2 ÷ 2/3

= 7/2 × 3/2

= 21 / 4

= 5.25 servings

When dividing fractions, you can instead multiply the first fraction by the inverse of the second fraction.

In conclusion, Ceila made 5.25 or 5 ¹/₄ servings of rice.

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Related Questions

Where is the function increasing?
Enter your answer in the boxes.
The function is increasing from x =

Answers

Answer: Just by seeing the graph, we can see that the function is decreasing from

x = 1 , to x = 8

(In this section the function has negative slope, its rate of change is negative)

(From x = -5 to x = -2 the function is increasing)

(From x = -2 to x = 1 the function stays the same)

how to change a percent into a decimal​

Answers

Answer:

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left. Remember, if you don’t see a decimal, just imagine that it’s at the end, or far right side, of the number. Imagine that the decimal is followed by two zeroes if that helps.

Step-by-step explanation:

Answer:

Converting Percentages to Decimals

Easiest—divide by 100: The simplest way to convert a percentage to a decimal is to divide the number (in percentage format) by 100.

Move the decimal: Another way to convert a quoted percentage to decimal format is to move the decimal two places to the left.

hope this helps

can you help me with this

The war of wall | Why is the wall special to the narrator and Lou?

Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the rest on folders with paper. Each folder filled with paper costs $3.89. Part A: Select the inequality that shows how many folders filled with paper (x) Jessica can buy. $36.25 + $3.89x ≤ $58.50 $36.25x + $3.89x ≤ $58.50 $36.25 + $3.89x ≥ $58.50 $36.25x + $3.89 ≥ $58.50

Answers

Answer:

[tex]\$36.25+\$3.89x\le \$58.50[/tex]

Step-by-step explanation:

Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.

She wants to buy one backpack for $36.25, so her total buying costs

$36.25 + $3.89x

Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so

[tex]\$36.25+\$3.89x\le \$58.50[/tex]

The area of a rectangular wall of a barn is 32 square feet. It’s length is 4 feet longer than the width. Find the length and width of the wall of the barn

Answers

Answer:

Step-by-step explanation:

Givens

Area = L * w

w = x

l = x  + 4

Area = 32

Solution

32 = x(x + 4)

32 = x^2 + 4x

x^2 + 4x - 32

(x + 8)(x - 4)

Only x - 4 is going to make any sense

x - 4 = 0

x = 4

The width is 4

The length is 4 + 4 = 8

4*8 = 32 which is the area.

Final answer:

To find the length and width of the barn wall, set the width as w and form a quadratic equation w(w + 4) = 32. Solve the equation to find that the width is 4 feet and the length is 8 feet.

Explanation:

The student is asking how to find the length and width of a rectangular barn wall when the area is given (32 square feet) and the length is 4 feet longer than the width. To solve this, let's represent the width of the wall as w feet. Thus, the length will be w + 4 feet. The area of a rectangle is found by multiplying the length by the width, which gives us the equation w(w + 4) = 32.

Let's solve this quadratic equation:

Rewrite the equation: w² + 4w = 32.

Subtract 32 from both sides to set the equation to zero: w² + 4w - 32 = 0.

Factor the quadratic equation: (w + 8)(w - 4) = 0.

Solve for w: w = -8 (reject because width can't be negative) or w = 4 (accept).

Thus, the width of the wall is 4 feet and the length is 4 + 4 = 8 feet.

Three more than twice k is thirteen write the equation

Answers

2*k + 3 = 13

2*k = 13 - 3

2*k = 10

k = 10/2

k = 5

Final answer:

The verbal statement 'Three more than twice k is thirteen' translates into the mathematical equation 2k + 3 = 13. Solving this equation, we find that k equals 5. This is an example of forming and solving an algebraic equation from a word problem.

Explanation:

The question asks to translate a verbal statement involving a variable into a mathematical equation. The statement is 'Three more than twice k is thirteen.' To form an equation, we first identify the mathematical operations described in the statement. 'Twice k' means we need to multiply k by 2, so we have 2k. 'Three more than' suggests an addition of 3 to the previous result, so we add 3 to 2k to get 2k + 3. Finally, 'is thirteen' tells us that this expression is equal to 13. The equation becomes 2k + 3 = 13.

To solve for k, we subtract 3 from both sides to obtain 2k = 10, and then divide by 2, resulting in k = 5. This completes the exercise of writing and solving the equation.

Example of a similar equation:

Let's say we have 'Four less than half of x is twenty.' The equation would be (1/2)x - 4 = 20. We would solve by adding 4 to get (1/2)x = 24, and then multiply by 2 to find x = 48.

2. There are 30 students in Mrs. Bailey's class and of the class
has their own cell phone. Of this group of students, of them are
allowed to use social media. How many of the students have a
cell phone and can use social media?

Answers

Answer:

The students who have a cell phone and can use social media are 3.

Step-by-step explanation:

The question is incomplete so the complete question is:

There are 30 students in Mrs. Bailey’s class, and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?

Now, as given in question we need to find the number of students have a cell phone and can use social media.

Now, to get the number of students of the class who has their own cell phone:

[tex]\frac{1}{5}\ of\ 30.[/tex]

[tex]=\frac{1}{5} \times 30.[/tex]

[tex]=\frac{30}{5}[/tex]

[tex]=6.[/tex]

Of this group of 6 students, 1/2 of them are  allowed to use social media.

So, to get the number of students who use social media:

[tex]\frac{1}{2}\ of\ 6.[/tex]

[tex]=\frac{1}{2} \times 6[/tex]

[tex]=\frac{6}{2}[/tex]

[tex]=3.[/tex]

Therefore, the students who have a cell phone and can use social media are 3.

Write y = -0.4x + 0.9 in standard form using integers​

Answers

Answer:

the answer is 1.3 that 8s the answer

The standard form of the given equation is 10y+4x=9.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is y = -0.4x + 0.9.

The standard form for linear equations in two variables is Ax+By=C.

Now, y+0.4x=0.9

Multiply by 10 on both the sides of an equation, we get

10y+4x=9

Therefore, the standard form of the given equation is 10y+4x=9.

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It takes the average adult 22 minutes to walk a mile, with a standard deviation of 6 minutes. About what percentage of adults take longer than 27 minutes to walk a mile? Note: Assume that a Normal model is appropriate for the distribution of walking times. 29.67% 70.33% 20.33% 79.67%

Answers

Answer:

The correct answer is C. 20.33%

Step-by-step explanation:

1. Let's review all the information given to us to answer the question correctly.

Mean of time of adults walking a mile = 22 minutes

Standard deviation = 6 minutes

Normal distribution for the walking times

2. What percentage of adults take longer than 27 minutes to walk a mile?

27 minutes = Mean + 5 minutes

27 minutes = Mean + 0.83 * Standard deviation

Using the z table for z = 0.83, we have that:

P (z) = 0.7967

Therefore the probability of adults that take longer than 27 minutes walking a mile is:

1 - 0.7967 = 0.2033

The correct answer is C. 20.33%

Car A travels 120 miles in the same time that car B travels 150 miles. If car B averages 10 mph faster than car A, what is the speed of each car?

Answers

Answer:

Speed of car A = 40 mph

Speed of car B =  50 mph

Step-by-step explanation:

Given:

Distance travelled by car A  = 120 miles

Distance travelled by car B  =  120 miles

To Find:

speed of each car = ?

Solution:

Let the speed of car A be x

then  speed of car B is (x +10)

The Time taken for each car is same

Time taken for car A =  Time taken for car B

We know that time  = [tex]\frac{distance}{speed}[/tex]

Time taken for car A

=> [tex]\frac{120}{x}[/tex]---------------------------(1)

Similarly

Time taken for car B

=> [tex]\frac{150}{x+10}[/tex]-----------------------(2)

Equating (1) and (2), we get

[tex]\frac{120}{x}[/tex] =  [tex]\frac{150}{x+10}[/tex]

[tex]120 \times (x+10) = 150 \times x[/tex]

120x + 1200 = 150x

1200 = 150x-120 x

1200 = 30x

[tex]x= \frac{1200}{30}[/tex]

x= 40

Speed of car A = 40mph

Speed of car B = (x+10) = (x+40) = 50mph

How many minutes is it from
7:00 a.m. to 11:45 a.m.?

Answers

285.
60 x 4 = 240.
add 45 = 285.

Answer:

285 minutes

Step-by-step explanation:

Well first, how many hours form 7 to 11?

11-7 is 4, thus four hours. Since it is 11:45 and not 11, our answer is 4 hours and 45 minutes. We still need to convert 4 hours to minutes though, to do with we multiply 4 by 60.

4*60=240

Now we add 240 and 45

240+45=285

The answer is 285 minutes.

On Monday, Luis picked up seven scones and four large coffees for the office staff. he paid $25.76. On Tuesday Rachel picked up two scones and five large coffees for the office staff. She paid $14.92. What is the cost of one scone? What is the cost of one large coffee?

Answers

Answer:

let the scone be x and the large coffees be y.

7x+4y=$25.76-----equ(I)

2x+5y=$14.92-----equ(2)

make x the subject of the formulae in equation(ii).

x=$14.92/2-5y

x=7.46-5y

We can solve this problem with a system of equations

Let x = the price of one scone. Let y = the price of one large coffee.

For Luis, the equation is 5x + 4y = 25.76
For Rachel, the equation is 2x + 5y = 14.92

Here is what I did for this problem:

The record high temperature is 41° the record low temperature is -16° what is the difference in the record temperatures

Answers

Answer: [tex]57\°[/tex]

Step-by-step explanation:

For this exercise it is important to remember that:

1. The word "difference" indicates subtraction (The result of a subtraction is called "difference").

2. The multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]

For this case, according to the data given in the exercise, the records high temperature and the record low temperature are:

[tex]High\ temperature=41\°\\\\Low\ temperature=-16\°[/tex]

Therefore, if you want to find the difference in the record temperatures, you need to sutract them.

Then you get the following result:

[tex]High\ temperature-Low\ temperature=41\°-(-16\°)=41\°+16\°=57\°[/tex]

From the top of a vertical cliff 50 m high, the angle of depression of an object that is level with the base of the cliff is 70°. How far is the object from the base of the cliff?

Answers

Answer:

The distance of the object from the base of cliff is 18.24 meters

Step-by-step explanation:

Given as :

The height of the vertical cliff = h = 50 meters

The distance of the object from the base of cliff = x meters

Let The angle of depression of object that level with cliff base = Ф = 70°

Now, from figure

Tan angle = [tex]\dfrac{\textrm perpendicular}{\textrm base}[/tex]

I.e TanФ = [tex]\dfrac{\textrm AB}{\textrm OA}[/tex]

Or, TanФ = [tex]\dfrac{\textrm h}{\textrm x}[/tex]

Or, Tan 70° = [tex]\dfrac{\textrm 50 meters}{\textrm x meters}[/tex]

Or, 2.74 = [tex]\dfrac{\textrm 50}{\textrm x}[/tex]

∴ x =  [tex]\dfrac{\textrm 50}{\textrm 2.74}[/tex]

I,e x = 18.24 meters

So, The distance of the object from the base of cliff = x = 18.24 meters

Hence,The distance of the object from the base of cliff is 18.24 meters Answer

Final answer:

We can determine the distance of the object from the base of the cliff using trigonometry. Specifically, we form an equation using the tangent of the given angle and the known height, solve for the distance, and then substitute the known values to obtain the specific distance.

Explanation:

The subject matter of this question falls in the field of trigonometry as it involves calculating distance using a known height and angle of depression. The object is level with the base of the cliff, and therefore forms a right triangle with the cliff and the sight line from the top of the cliff.

We can use the tangent function to solve this problem. In trigonometry, the tangent of an angle in a right triangle is the opposite side (height) over the adjacent side (distance we're looking for). Given the angle of depression (70°) and the height of the cliff (50 m), we can set up the following equation:

tangent(70°) = height/distance

Moving terms around gives:

distance = height / tangent(70°)

Substituting for height and tangent(70°) we get:

distance = 50 m / tan(70°)

Solving the above equation will give us the distance of the object from the base of the cliff.

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Choose the congruence theorem that you would use to prove the triangles congruent.

SSS
SAS
ASA
AAS

Answers

The answer is SSS . This is because the sides values are shown.

The required criteria for congruence is SSS criteria.

What are the criteria for congruent triangles?

Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.

From the given figure for the two triangles,

It is clear that the corresponding sides for both the triangles are equal.

Thus, both the triangles satisfy the congruence criteria os SSS.

Hence, the given two triangles are congruent by the SSS criteria.

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Find the area please don’t lie to me

Answers

Answer:

108 yd²

Step-by-step explanation:

The formula of an area of a trapezoid:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]

b₁, b₂ - bases

h - height

From the picture we have

[tex]b_1=19yd,\ b_2=5yd,\ h=9yd[/tex]

Substitute:

[tex]A=\dfrac{19+5}{2}\cdot9=\dfrac{24}{2}\cdot9=12\cdot9=108\ yd^2[/tex]

ed bought a box of candies for $10.54. There were 16 candies in the box . How much did each candy cost

Answers

The cost of one candy is 66 cents.

Step-by-step explanation:

Given,

Purchase price of box of candies = $10.54

Number of candies in the box = 16

To find the cost of each candy, we will divide the purchase price of candies with total number of candies.

Cost of each candy = [tex]\frac{10.54}{16}[/tex]

Cost of each candy = $0.658

Rounding off to nearest hundredth;

Cost of each candy = $0.66 = 0.66 * 100 = 66 cents

The cost of one candy is 66 cents.

Keywords: division, multiplication

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Which of these is an example of a recurring-payment variable annuity

Answers

Investing $2500 annually for 10 years into an annuity with a 3.4% APR yields approximately $31,790.56, making option B the correct choice.

A recurring-payment variable annuity typically involves regular contributions over time, often with variable returns based on market performance. Option B seems to fit this description best: "An annuity with an APR of 3.4% into which you invest $2500 each year."

To calculate the future value of this annuity, we can use the formula for the future value of an annuity:

FV = Pmt × [(1 + r)^n - 1] / r

Where:

FV = Future value

Pmt = Payment per period ($2500)

r = Interest rate per period (3.4% or 0.034)

n = Number of periods (number of years)

Let's assume we invest for 10 years:

[tex]FV = 2500 * [(1 + 0.034)^10 - 1] / 0.034[/tex]

Calculating this gives us approximately $31,790.56.

Therefore, investing $2500 each year for 10 years into an annuity with an APR of 3.4% would result in a future value of approximately $31,790.56.

Final answer: B. An annuity with an APR of 3.4% into which you invest $2500 each year.

The Correct question is:

Which of these is an example of a recurring-payment variable annuity?

A. An annuity with a minimum APR of 3.4% into which you invest a lump sum of $12,500

B. An annuity with an APR of 3.4% into which you invest $2500 each year C. An annuity with a minimum APR of 3.4% into which you invest $2500 each year

D. An annuity with an APR of 3.4% into which you invest a lump sum of $12,500

17. Which of the following is a composite number?
O A. 19
O B.63
OC.0
O D.1
What is it

Answers

The answer is 63.because it can be divided by other many numbers like 3,7,9 ......

I am 100% sure about the answer..

Answer:

B. 63.

Step-by-step explanation:

Because 63 can be written as a multiple of smaller numbers .

For example 7 * 9 = 63.

What is the answer for 5/2 and it is equal to 1/3

Answers

Answer:

5/2=2.5, while 1/3= aprox 0.333, therefore 5/2 is not equal to 1/3.

Step-by-step explanation:

Here is the long division table for 5/2

 2. 5 0 0

2 5. 0 0 0

− 4      

 1 0    

− 1 0    

   0 0  

 −   0  

     0 0

   −   0

       0

Here is the long division table 1/3 ( to three decimal places)

0. 3 3 3

3 1. 0 0 0

− 0      

 1 0    

−   9    

   1 0  

 −   9  

     1 0

   −   9

       1

An easier way to do 5/2 is to think of 50/2, which is 25, and then add a decimal point, making it 2.5.

An easier way to do 1/3 is to think of it as one third (of one), or 0.333 repeating.

An Atlas moth has a wingspan of 11 inches. What is the wingspan of 26 Atlas moths?

Answers

Answer:

286 inches

Step-by-step explanation:

26×11=286

Which of the following numbers is irrational?
A. 2/3
B. -√81
C. 5.76262...
D. √2

Answers

Answer: options C and D

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

A . 2/3 is a rational number because it is a fraction

B . -[tex]\sqrt{81}[/tex] = -9 which could be written as -9/1 , so it is a rational number

C. 5.76262... is irrational because the decimal has no end point

D. [tex]\sqrt{2}[/tex] is a common example of irrational number , because finding the square root of 2 is also continuous .

Therefore , options C and D are irrational

y = -1 +3.?
What is the answer

Answers

it is very easy.I will explain u...

between 1 and 3 3 is greater..so we have put the plus sign and multiply + and - it wil ne - so that we have subtracted it...Hope it helps u...

What is the slope of the line that passes through the points e (5,1) and f (2, -7)

Answers

Answer:

8/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-1)/(2-5)

m=-8/-3

m=8/3

Does anyone know this???
Pls help.

Answers

Answer:

∠ABC = 110°

Step-by-step explanation:

Since Δ BCD is equilateral then the 3 angles are congruent with measure 60°

Thus ∠ DBC = 60°

Δ ABD is isosceles with AB = BC

Thus the base angles are congruent, that is

∠ BAD = ∠ ADB = 65°

Calculate ∠ ABD by subtracting the sum of the base angles from 180°

∠ ABD = 180° - (65 + 65)° = 180° - 130° = 50°

Hence

∠ ABC = ∠ ABD + ∠ DBC = 50° + 60° = 110°

Answer:

110°

Step-by-step explanation:

Triangle ABD is an isosceles triangle.

This means that ∠ ADB is also 65°

Use the Triangle Sum Theorem (All angles of a triangle sum up to 180°)

65 + 65 = 130

180 - 130 = 50

∠ ABD is 50°

For Triangle BCD, all of the sides are the same.

This means all of the angles will be 60° (60° * 3 = 180°)

To find ∠ ABC, you add the two angles

60° + 50° = 110°

3. Carmen invested $3000 in an account
that pays 3.6% annual interest
compounded monthly. To the nearest
whole dollar, what will be the balance
in her account after 6 years?
A. $3223 B. $3648
C. $3709 D. $3722

Answers

Answer: C. $3709

Step-by-step explanation:

Using the formula to calculate amount(A) , which is given as :

A = p  [tex](1+r)^{n}[/tex] , where

A = amount

P = principal

r = rate

n = number of years

From the question,

A = ?

P = $3000

r = 3.6%

n = 6

substituting into the formula , we have

A = 3000[tex](1+0.036)^{6}[/tex]

A = 3000 [tex](1.036)^{6}[/tex]

A = 3000 (1.236398679)

A = 3709. 196038

To the nearest dollar

A = $3709

Answer:

C) $3722.

Step-by-step explanation:

Given: Carmen invested $3000 in an account that pays 3.6% annual interest compound monthly. To the nearest whole dollar, what will be the balance in her account after 6 years?

The formula to compound interest is:

I = P(1 + R)^T

Put in the terms:

I = $3000(1 + 3.6%)^6

I = $3000(1 + 0.036)^6

I = $3000 x 1.036^6

I = $3000 x 1.23639868

I = $3709.19604

Rounded, that's C) $3722.

Determine the y intercept of the graph y-7 =3(x+5) rearrange in slope intercept form

Answers

Answer:

y = 3x + 22

Step-by-step explanation:

y - 7 = 3(x+5)

Distribute,

y - 7 = 3x + 15.

Add 7 to both sides.

Final answer, y = 3x + 22.

Hope this helps!

Answer:

22

Step-by-step explanation:

Remove the brackets on the right.

y - 7 = 3x + 15

Add 7 to both sides.

y - 7 + 7 = 3x + 15 + 7

y = 3x + 22

The y intercept occurs when x = 0

y = 3*(0) + 22

y = 22

Alexis runs a small business and creates recordings of her friend’s skateboard stunts. She puts the recordings onto Instagram. She currently has 100 Instagram followers. If the number of followers grows at a rate of 1% every 12 hours. The following function represents this situation.
f(x) = f(1. + r)^t where f is the number of initial followers and r is the grown rate and t is time.
1) Alexis wants to figure out how many followers she will have after 5 days, use the equation to solve.

2) Alexis hopes to eventually have 1,000,000 followers, how long will it take her to reach this level of followers.

3) Fill in the chart below.


#Days since upload 0 10 20 50 100 300 500

Number of Instagram followers
4) In words, explain why the rate increases so fast.

5) Create an equation for the number of followers if the rate increased 3% every 24 hours.

Answers

Answer:

(1). 110 followers

(2). 463 days

(3). Days since upload                0 10 20 50 100 300 500

Number of Instagram followers 100 122 149 270 732 39158 2,000,000

(5) [tex]f(x)=100(1.03)^d[/tex]

Step-by-step explanation:

Part 1:

The function that represents the situation is:

[tex]f(x) = 100(1 .01)^{2d}[/tex]

Where [tex]d[/tex] is number of days.

Using this equation we find the number of followers after 5 days:

[tex]f(d) = 100(1 .01)^{2*5}=110[/tex] followers.

Part 2:

We solve the equation

[tex]1,000,000 = 100(1 .01)^{2d}[/tex]

for [tex]d[/tex] and get:

[tex]d=463\: days.[/tex]

It takes Alexis 463 days to reach 1,000,000 followers.

Part 3:

Days since upload                0 10 20 50 100 300 500

Number of Instagram followers 100 122 149 270 732 39158 2,000,000

This is obtained from the graph of the function f(x).

Part 4:

The number of Instagram followers increases fast because the rate of increase is 1% of the previous number of followers, and as the followers increase, this 1% takes increasingly big values, leading to increasingly fast growth rate of followers. Put simply, we would say that f(x) is an exponential function.

Par 5:

If the rate is increased to 3% every 24 hours, then the function f(x) becomes:

[tex]f(x)=100(1.03)^d[/tex]

where [tex]d[/tex] is days. and if we represent this in terms of every 12 hours then

[tex]f(x)=100(1.03)^{t/2}[/tex]

where [tex]t[/tex] is every 12 hours.

find an equation of the line satisfying the given condition in standard form . Through {0, -35/3} ; slope 7/3

Answers

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut-off point with the y axis.

According to the statement data we have:

[tex]m = \frac {7} {3}[/tex]

Thus, the equation is of the form:

[tex]y = \frac {7} {3} x + b[/tex]

We substitute the given point and find the cut-off point:

[tex]- \frac {35} {3} = \frac {7} {3} (0) + b\\- \frac {35} {3} = b[/tex]

Finally, the equation is:

[tex]y = \frac {7} {3} x- \frac {35} {3}[/tex]

We manipulate algebraically to obtain the standard form:

We multiply by 3 on both sides of the equation:

[tex]3y = 7x-35\\3y-7x = -35[/tex]

We multiply by -1 on both sides:

[tex]7x-3y = 35[/tex]

Answer:

[tex]7x-3y = 35[/tex]

Solve v = 1/3bh for b

Answers

Answer:

Step-by-step explanation:

What is an equation of a line that passes through the points (8 , -3) (8 , 4)

Answers

Answer:

[tex]\displaystyle x = 8[/tex]

Step-by-step explanation:

Anything set to equal x is considered an undefined rate of change [slope], which is a vertical line. This is not a function, since it flunks the vertical line test.

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