Write 4% as a
fraction in lowest terms.

Answer:

x=y/12

Step-by-step explanation:

I took the variable and flipped it. Instead of solving for y inches, I solved for x feet.

A conclusion about f(x) and g(x) that can be drawn from the table include the following: B. The functions f(x) and g(x) are reflections over the y-axis.

In Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over or across the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the exponential function, we have the following transformed exponential function:

(x, y)                             →                 (-x, y).

\(f(x)=2^x\)                     →                 \(g(x)=(\frac{1}{2} )^x\)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

36 square feet.

Step-by-step explanation:

9 feet times 4 feet equals 36 feet. Since it is are it has to be square feet. Therefore, the answer is 36 square feet.

The solutions for the given equation is x=0, x=-4 and x=3.

The given functions are f(x)=2x³+9x²+13x+12 and g(x)=3x³+10x²+x+8.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Now, f(x)-g(x)

= 2x³+9x²+13x+12-(3x³+10x²+x+8)

= 2x³+9x²+13x+12-3x³-10x²-x-8

= -x³-x²+12x+4

Graph the cubic using its end behavior and a few selected points.

Rises to the left and falls to the right

Plot (-2, -16), (-1, -8), (0, 4), (1, 14) and (2, 16)

Given f(x)-g(x)=4

-x³-x²+12x+4=4

⇒ -x³-x²+12x=0

⇒ -x(x²+x-12)=0

⇒ x=0 and x²+x-12=0

⇒ x=0 and x²+4x-3x-12=0

⇒ (x+4)(x-3)=0

⇒ x=0, x=-4 and x=3

Therefore, the solutions for the given equation is x=0, x=-4 and x=3.

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The linear function g(x) = x / 2 is the image by rigid transformations of the linear function f(x) = - 2 · x.

Rigid transformations are transformations applied on functions such that the form and features of a function is conserved. In this problem we must determine the image of a linear equation, which is the result of a sequence of rigid transformations:

If we know that that function is f(x) = - 2 · x, then the image of the function is:

f'(x) = 2 · x

g(x) = x / 2

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This question is incomplete.

Complete Question

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates 300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

Answer:

280 tons of wood.

Step-by-step explanation:

From the above question:

To make 1 ship = we require 40 tons of wood.

1 ship = can accommodate 300 sailors.

Step 1

If :

300 sailors = 1 ship

2100 sailors = y ships

Cross Multiply

300 × y ships = 1 ship × 2100 sailors

y ships = 2100 / 300

y ships = 7

Hence, 2100 sailors can occupy 7 ships.

Step 2

We are told in the question that:

Astrid wants to build enough ships to accommodate at least 2100 sailors. How much wood does Astrid need to accommodate 2100 sailors?

If:

1 ship = 40 tons of wood

Since 7 ships can accommodate 2100 sailors,

7 ships =

7 × 40 tons of wood = 280 tons of wood.

Therefore , Astrid needs 280 tons of wood to accommodate 2100 sailors.

Using the Factor Theorem, it is found that the function is given by:

\(f(x) = 0.0409(x^3 + x^2 - 77x - 330)\)

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

From the graph, the zeroes are \(x_1 = -8, x_2 = -3, x_3 = 10\), hence:

\(f(x) = a(x + 8)(x + 3)(x - 10)\)

\(f(x) = a(x^2 + 11x + 33)(x - 10)\)

\(f(x) = a(x^3 + x^2 - 77x - 330)\)

From the y-intercept, that is, when \(x = 0, y = -13.5\), we find a.

\(f(x) = a(x^3 + x^2 - 77x - 330)\)

\(-330a = -13.5\)

\(330a = 13.5\)

\(a = \frac{13.5}{330}\)

\(a = 0.0409\)

Hence:

\(f(x) = 0.0409(x^3 + x^2 - 77x - 330)\)

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Answer:

first guy is wrong

Step-by-step explanation:

my teacher said it's wrong, when I find out the right answer ill put it here

Answer:

Step-by-step explanation: true

The members in Jasmine's dance troupe is an illustration equivalent expressions.

The number of members in Jasmine's dance troupe is 62

Assume the number of dancers is n.

One third of the rest is:

\(\mathbf{x = \frac{1}{3}(n - 2)}\)

When she called three more, we have:

\(\mathbf{x = \frac{1}{3}(n - 2) + 3}\)

Expand

\(\mathbf{x = \frac{n}{3} - \frac{2}{3} + 3}\)

\(\mathbf{x = \frac{n}{3} + \frac{-2 + 9}{3}}\)

\(\mathbf{x = \frac{n}{3} + \frac{7}{3}}\)

The remaining dancers (r) are:

\(\mathbf{r = n- \frac{n}{3} - \frac{7}{3}}\)

\(\mathbf{r = \frac{3n - n}{3} - \frac{7}{3}}\)

\(\mathbf{r = \frac{2n}{3} - \frac{7}{3}}\)

\(\mathbf{r = \frac{2n - 7}{3}}\)

When two-fifth of the remaining dancers are added, we have:

\(\mathbf{x = \frac{n}{3} + \frac{7}{3} + \frac{2}{5}(\frac{2n - 7}{3})}\)

\(\mathbf{x = \frac{n+7}{3} + \frac{2}{5}(\frac{2n - 7}{3})}\)

\(\mathbf{x = \frac{n+7}{3} + \frac{4n - 14}{15}}\)

Take LCM

\(\mathbf{x = \frac{5n + 35 + 4n - 14}{15}}\)

\(\mathbf{x = \frac{9n + 21}{15}}\)

\(\mathbf{x = \frac{3n + 7}{5}}\)

When she called one more dancer, we have:

\(\mathbf{x = \frac{3n + 7}{5} + 1}\)

\(\mathbf{x = \frac{3n + 7+5}{5}}\)

\(\mathbf{x = \frac{3n + 12}{5}}\)

The remaining of the dancer is:

\(\mathbf{r = n - \frac{3n + 12}{5}}\)

\(\mathbf{r = \frac{5n - 3n + 12}{5}}\)

\(\mathbf{r = \frac{2n + 12}{5}}\)

When three-fourth are added, we have:

\(\mathbf{x = \frac{3n + 12}{5} +\frac{3}{4} \times \frac{2n + 12}{5}}\)

\(\mathbf{x = \frac{3n + 12}{5} + \frac{6n + 36}{20}}\)

Take LCM

\(\mathbf{x = \frac{12n + 48+6n + 36}{20}}\)

\(\mathbf{x = \frac{18n +84}{20}}\)

When the last two members are added, we have:

\(\mathbf{n = \frac{18n +84}{20} + 2}\)

\(\mathbf{n = \frac{18n +84+40}{20} }\)

\(\mathbf{n = \frac{18n +124}{20} }\)

Multiply through by 20

\(\mathbf{20n = 18n +124}\)

Collect like terms

\(\mathbf{20n - 18n =124}\)

\(\mathbf{2n =124}\\\)

Divide both sides by 2

\(\mathbf{n =62}\)

Hence, the number of members in Jasmine's dance troupe is 62

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Answer:

12π

is the correct answer

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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△CBE ≅△CDE

Answer:

148 and 143

147.667 round all of the cent you get 148 dollars

same as the first then you get 143 dollars

The linear equation will be y = - 25x + 500. And the graph is given below.

Given that:

Slope, m = -25 mL/s

Y-intercept, c = 500 mL

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of seconds and 'y' be the remaining amount. Then the equation is given as,

y = - 25x + 500

The diagram is given below.

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The sales price of the item is £18

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

Discount = 1/3

Original price = 27

This means that

Sales price = original price * (1 - discount)

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

Sales price = 27 * (1 - 1/3)

Evaluate

Sales price = 18

Hence, the sales price is #18

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Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

On solving the provided question we can say that Thus, the given exponential expression represents exponential decay with a decay factor of 0.25 or a decay constant of 1.386.

The word "exponential growth" refers to the process of increasing quantity through time. When the instantaneous rate of change of a quantity with respect to time is proportional to the quantity, this is said to be proportional to the quantity. Exponential growth is a statistical pattern in which bigger gains are seen with time. Compound interest delivers exponential rewards in the world of finance. Savings accounts with compound interest can occasionally experience exponential growth. characterised by a rapid increase in the exponential growth rate (in size or extent). exponentially.

exponential decay with a decay factor of 0.25.

\(A_0 = A_0 e^{(-kt)}\\A_0 = 300\\\\A = 300(1-0.25)^t\\k = ln(1/0.25) = 1.386\)

Thus, the given expression represents exponential decay with a decay factor of 0.25 or a decay constant of 1.386.

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Answer: $18 in savings

Step-by-step explanation:

cost x discount percent = savings

$60 x 0.30 = $18

Answer:

1.) Sin= Sine=opposite/hypotenuse

2.) Tan = well...Tan=opposite/adjecent

Step-by-step explanation:

Soooo, 1.) B

2.) C

sorry if this isn't the answer you're looking for

Answer:

91?

Step-by-step explanation:

You don't have any pictures attached or anything so I don't get a full understanding of what you are trying to say, anyways Have a good day! :)

multiply 187.5 and 1.25 and it comes out to 234.375 in hot chocolate. So your answer will be 234.375 or 234.3 for short. you can also use 234 to not use a decimal, if your homework says not to use decimals. Have a nice day!

Answer:

Step-by-step explanation:

It doesn't matter what order they are chosen in, so the numerator is 64C3.

The total number of ways that you can choose any 3 crayons is 64 * 63 * 62

P(r and y and b) = 64! / (62! 3!) // 64 * 63 * 62

P(r and y and b) = 64 * 63 * 62 / 6 // 64 * 63 * 62 = 41664 / 249984 = 0.167

Answer:

11

Step-by-step explanation:

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

use the method:

is/of and %/100

plug in 55 for the percent, and 20 for 'of'

should be: x/20 and 55/100

cross multiply to get 11.

1%of 20 is 0.2 0.2x5=1         5% of 20 is 1

10% of 20 is 2 2x5=10          50% of 20 is 10

1+10=11

That is just how i do it to make it easier for others, and sometimes for me.

Answer:

55 1/50 or 2751/50

Step-by-step explanation:

Convert both expressions to improper form

Make their denominators the same

Multiply the numerators

Simplify the fraction if needed

Answer:

8/9/10

Step-by-step explanation:

The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.

The table representing amount of money which Sarah charges her customers to sell newspapers.

Let us consider 'x' represents the time per hour charges taken by Sarah from customers.

In the table,

For zero hours charges are $5.

It means Fixed charges taken by Sarah to sell newspaper.

Difference between the rate per hour is,

$7 - $5 = $2

$9 - $7 = $2

It represents for Sarah charges $2 per hour.

let us consider 'y' that represents total amount charges by Sarah.

Required linear function for selling news paper and charging amount is

y = $5 + 2x

⇒ y = 2x  + 5

Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.

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Answer:

Step-by-step explanation:

its 123 jd

Answer:

We know that the x-coordinate of point A is -11, and that the distance between point A and point B is 15 units. Let's call the y-coordinate of point A "y". Then we can use the distance formula to find the two possible values of y:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (-11,y) is the coordinates of point A, and (x2,y2) = (1,2) is the coordinates of point B. Substituting the values, we get:

15 = sqrt((-11 - 1)^2 + (y - 2)^2)

15 = sqrt(144 + (y - 2)^2)

15^2 = 144 + (y - 2)^2

225 = 144 + (y - 2)^2

81 = (y - 2)^2

y - 2 = ±9

y = 2 ± 9

So the possible coordinates of point A are (-11,11) and (-11,-7).

Answer:

Step-by-step explanation:

B=CD-A