56 is 80% of what number? Use the percent equation

The graph of exponential function y = 5.2^x

exponential function in the form y = ab^x + c

Exponential function:

An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is also a variable, and a is a constant called the base of the function.

where

a is the initial y - intercept.

b is the constant ratio.

c is the horizontal asymptote.

So, in this problem, we have:

constant ratio = 2

y-intercept at y = 5

horizontal asymptote at y = 0

The graph is in the image uploaded.

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The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

B and C

Step-by-step explanation:

B = 4y - 3 + 3 = -2y + 1 + 3

  = 4y = -2y + 4

C = 4y - 3 -4y = -2y + 1 -4y

   = 3 = -6y +1

Complete question is;

A. imagine that you are one of the people who left the luncheon with a contagious disease and interacted with an average of 9 different people each day. how many people could potentially be infected in 7 days?

b. imagine the other remaining persons who received the contagious disease at the end of the luncheon interacted with an average of 6 different people per day. how many people could potentially be infected in 7 days by these others who left the luncheon?

Answer:

A) 63

B) 294

Step-by-step explanation:

A) We are told that the person that has the disease comes in contact with an average of 9 persons each day. Thus, for 7 days, he would have infected;

Number of people infected for 7 days = 9 × 7 = 63 people

B) If patient zero is excluded, there will be seven other people in the experiment. Now, we are told that each of them interacted with 6 different people every day in 7 days.

Thus, number of people infected each day = 7 people infected x 6 new people = 42 infected people each day,

Them for 7 days;

= 42 infected people each day x 7 days = 294 infected persons.

Answer:

14

Step-by-step explanation:

-3-2 is a slope and you add numbers

The worker recieves 3 hours of break time per day.

Given is that a a fast-food worker works Monday through Friday, 8 hours per day. Daily, the worker receives a hour break in the morning, a hour break for lunch, and a hour break in the afternoon.

The worker recieves three breaks, meaning it recieves 3 hours of break time per day.

Therefore, the worker recieves 3 hours of break time per day.

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Step-by-step explanation:

35%= 650+50

=700

1%= 700÷35

= 20

100%=20×100

= 2000

Answer:

d=99

Step-by-step explanation:

Answer:

(1,-5)

Step-by-step explanation:

Brainliest

Answer:

2x+ 2(x+4/5)

Step-by-step explanation:

Perimeter = 2l + 2w

l = x

w = x+4/5

Answer:

700,120

Step-by-step explanation:

hope this helps!

Answer:

To find the unknown value in the proportion (2x + 1) / 2 = (x + 2) / 5, we can cross-multiply the terms on the left-hand side and the right-hand side to eliminate the fractions. This gives us the equation 2(2x + 1) = 5(x + 2), which simplifies to 4x + 2 = 5x + 10. Subtracting 4x from both sides of the equation, we get 2 = x + 10, which can be rewritten as x = -8. Therefore, the unknown value in the proportion is x = -8.

Step-by-step explanation:

Answer:

(-6, 6)

Step-by-step explanation:

Let the coordinates of point B be (x, y)

Since, M is the midpoint of AB.

Therefore, by mid-point formula:

\( - 5 = \frac{ - 4 + x}{2} \\ - 5 \times 2 = - 4 + x \\ - 10 + 4 = x \\ x = - 6 \\ \\ 4 = \frac{2 + y}{2} \\ 4 \times 2 = 2 + y \\ 8 = 2 + y \\ 8 - 2 = y \\ y = 6 \\ \\ (x, \: \: y) = ( - 6, \: \: 6)\)

Thus, the coordinates of point B are (-6, 6).

The coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

We have:

The midpoint of AB is M(-5, 4).

The coordinate of A is (-4, 2)

Let the coordinate of B is (x, y)

By using the midpoint property:

(-4+x)/2 = -5

-4 + x = -10

As we know, the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

-4 + x = -10

It is a linear equation in one variable:

x = -6

Similarly for y:

(2+y)/2 = 4

2 + y = 8

y = 6

The coordinate of B is (-6, 6)

Thus, the coordinate of B is (-6, 6) if the midpoint of AB is M(-5, 4) and the coordinates of A are (-4, 2),

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Answer:

22. Congruent traingle

24. Similar traingle

We need to compare their corresponding sides and angles to determine if the two triangles are congruent or similar.

Attached flowchart to help you determine if two triangles are congruent or similar: See Attachment:

Properties of the similar triangle:

Properties of the Congruent Triangle:

Answer:

140

I hope this helps with your math

Answer:

140.

Step-by-step explanation:

Given that:

(30÷6)+5³+10

= (5) + 5³ + 10

= 5 + 5³ + 10

= 5 + 5*5*5 + 10

= 5 + 125 + 10

= 130 + 10

= 140Ans.

Please let me know if you have any other questions.

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer:

h=3/10

Step-by-step explanation:

The way to get the area of triangle is 1/2 * product of two legs or 1/2*base*height.

We get the two legs, so we can get the area of the triangle is 1/2*1*3/4=3/8

And plug in the equation of the area of the triangle with area and base of it:

Solve the equation:

3/8=1/2*5/4*h

3/8=5/8*h

h= \(\frac{\frac{3}{8} }{\frac{5}{8} }\)

And take off 8 from each side

the height is \(\frac{3}{5}\)

Answer:

1/6 of a cup

Step-by-step explanation:

You're trying to figure out what 1/3 subtract 1/2 is, right?

Well first, convert both of them so they both have the same denominator.

Common Denominator = 6

So, 1/3 is 2/6 and 1/2 is 3/6 and 2/6 plus 3/6 is 5/6. Well, what's left in the cup? 6/6 subtract 5/6 is 1/6

Hope that helps!

Answer: 74130.75

Step-by-step explanation: plz mark brainliest

Answer:

Step-by-step explanation:

take 61 degree as reference angle

using cos rule

cos 61=adjacent/hypotenuse

0.48=5.5/x

x=5.5/0.48

x=11.45

x=11.5

Answer:

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Step-by-step explanation:

Given the expression dy/dx=xy+6x+4y+24

To find the solution, we are to make y the subject of the formula as shown

dy = (xy+6x+4y+24)dx

∫dy =∫(xy+6x+4y+24)dx

y = ∫(xy+6x+4y+24)dx

We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;

y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx

y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx

Integrate;

y = yx²/2 + 6x²/2 + 4yx + 24x + K

y = yx²/2 + 3x² + 4yx + 24x + K

Hence the solution to the differential expression is;

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Where K is the constant of integration.

After 200 years, there will be 47.43 pounds left of the material.

We know that we start with 68 pounds, and after 40 years there are 63.3 pounds left, so we have an exponential decay:

63.3 = 68*(b)^40

Where b defines how it decays, we can solve that equation for b to get:

(63.3/68)^(1/40) = b

0.9982 = b

Then the decay is:

f(x) = 68*(0.9982)^x

The amount left after 200 years will be:

f(200) = 68*(0.9982)^200 = 47.43

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Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.

In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.

This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.

Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;

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Complete Question:

The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS

We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.

NS and NS

NS and RS

MS and RS

MS and QS

The solution for x in the equation 3 = 5/(2 - x) is 11/3

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

3 = 5/(2 - x)

Cross multiply the equation

so, we have the following representation

3(2 - x) = 5

This gives

2 - x = 5/3

So, we have

x = 2 + 5/3

Evaluate the sum of the like terms

x = 11/3

Hence, the solution for x in the equation is 11/3

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Answer:

B. y= -4x + 28

Step-by-step explanation:

To find the equation of this line first put it into slope-point form, \(y-y_{1} =m(x-x_{1})\) where \(y_{1}\) and \(x_{1}\) are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,

First, distribute the -4

y-8=-4x+20

Next, add 8 to both sides

y=-4x+28

Answer:

∠ACD = 33.5°

Step-by-step explanation:

The arc length will be twice ∠ ABD,

∠ABD will equal ∠ACD because they subtend the same arc length.

3x + 7 = 2(2x - 6.5)

3x + 7 = 4x - 13

x = 20

∠ABD = (2(20) - 6.5) = 33.5

The acute angle that satisfies the equation is 18.6 degrees

The equation is given as

csc Theta = 3.1297

Rewrite properly as

csc(∅) = 3.1297

In trigonometry

csc(∅) = 1/sin(∅)

So, we have

1/sin(∅) = 3.1297

This means that

sin(∅) = 1/3.1297

Evaluate the expression

sin(∅) = 0.3195

Take the arc sin of both sides

∅ = sin-1(0.3195)

Evaluate the arcsin expression

So, we have

∅ = 18.6

Hence, the acute angle that satisfies the equation is 18.6 degrees

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The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.

The correct answer is option B.

To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:

\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)

where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.

Given function: f(x) = \(x^3 - x^2 - 1\)

Step 1: Find the derivative of f(x)

f'(x) = \(3x^2 - 2x\)

Step 2: Initialize the starting value

\(x_0\)= 1

Step 3: Calculate \(x_1\)

\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)

\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)

\(x_1 = x_0 - f(x_0) / f'(x_0)\)

   = 1 - (-1) / 1

   = 2

Step 4: Calculate \(x_2\)

\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)

\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)

\(x_2 = x_1 - f(x_1) / f'(x_1)\)

   = 2 - 3 / 8

   = 1.625

Step 5: Repeat the process until we reach \(x_5\)

Performing the calculations for \(x_3, x_4, andx_5\), we find:

\(x_3\) ≈ 1.465

\(x_4\) ≈ 1.466

\(x_5\)≈ 1.466

After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.

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