Kiera had 0.69 grams of pepper. Then she used 0.1 grams of the pepper to make some scrambled eggs. How much pepper does Kiera have left?

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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Answer:

II and III  ( 2 and 3)

Step-by-step explanation:

The quadrants are numbered counter clockwise, with the top right being number I

II                I

III                IV

The ones having negative x values are II and III  ( 2 and 3)

Answer:

0.07

Step-by-step explanation:

Just put the value of the percent

40, 90, or 7 over 100

40/100, 90/100, 7/100

This yields

0.4, 0.9, 0.07

Answer:

D

Step-by-step explanation:

A and D are both equidistant from the x- axis, that is

A is 3 units above the x- axis and D is 3 units below the x- axis

then the x- axis is the line of symmetry

The given equation is a second order differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives.

Isaac Newton listed three kinds of differential equations given -

\(${\displaystyle {\begin{aligned}{\frac {dy}{dx}}&=f(x)\\[4pt]{\frac {dy}{dx}}&=f(x,y)\\[4pt]x_{1}{\frac {\partial y}{\partial x_{1}}}&+x_{2}{\frac {\partial y}{\partial x_{2}}}=y\end{aligned}}}\)

Given is a differential equation as follows -

d²a/db² + a = 4b + 10sin(b)

The given equation is -

d²a/db² + a = 4b + 10sin(b)

Let y = a and x = b, then we can write -

d²y/dx² + y = 4x + 10sin(x)

A second order differential equation is one that expresses the second derivative of the dependent variable as a function of the variable and its first derivative. It is of the form -

d²y/dx² + P(x) dy/dx + Q(x) y = f(x)

For the equation given -

d²y/dx² + y = 4x + 10sin(x)

On comparing, we get -

P(x) = 0

Q(x) = 1

f(x) = {4x + 10sin(x)}

Therefore, the given equation is a second order differential equation.

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Answer:

2

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

B. x^2 - 8x + 16 = 20

Step-by-step explanation:

x^2 - 8x = 4

Take half of the x-term coefficient and square it.

-8/2 = -4

(-4)² = 16

Now add 16 to both sides.

Answer: B. x^2 - 8x + 16 = 20

Answer:

first find the average per day. 5/3= 1 & 2/3... 2/3 of a minute is 40 is 60/3=20 seconds. so 4 days would be the full 5 minutes plus another 1 minute and another 40 seconds.. so by day 4 it would be 6 min and 40 seconds.

If you have 6 pairs of socks in the dryer. Only one pair is black You randomly choose two of the socks. The probability that you got both of the black socks is: C.) 1/66.

Let assume you  12 (6 +6) socks in the dryer in which two of them are the ones you are interested in.

The probability of getting a black sock on the first turn=  2 /12 = 1/6

Now there are 11 socks in the dryer, and only one of them is black

The probability of getting a black sock on the second turn is 1/11

The probability of drawing a pair of black socks out of the dryer is:

Probability = ( 1/ 6) × (1 /11 )

Probability =  1 /66

Therefore the correct option is C.

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Answer:

I don't think so man

Step-by-step explanation:

math .....................

Answer:

No solution

Step-by-step explanation:

-9 = a - 3 - a

-6 = a - a

-6 \(\neq\) 0, -6 doesn't equal 0 so no solution

Answer:

No, 7, 8 and 9 do not form a right triangle.

Step-by-step explanation:

Assume that the shorter two side lengths are  7 and 8.  Does 7^2 + 8^2 add up to 9^2?  Does 49 + 64 add up to 81?  NO.

No, 7, 8 and 9 do not form a right triangle.

Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t

c. It will take over 7 years for the accounts to be equal.

The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.

Simple interest = P(1 + rt)

Compound interest = P(1 + r/n)ⁿˣ

To solve this, we can write equations;

For the first scenario;

\(S = 200(1.1)^t\)

For the second scenario;

S = 250 + 20t

NB: The first case is a compound interest while the second is a simple interest.

c. To determine when the two accounts will be equal;

\(250 + 20t = 200(1.1)^t\)

Solving for t;

t = 7.01 ≈ 7 years

Therefore, it will take over 7 years for the accounts to be equal

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Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

Using the given functions, we have:

\(f(x) = x^2 + 3\)

\(g(x) =\) \(\sqrt{(x-4)}\)

To find f(g(x)), we substitute g(x) for x in the expression for f(x):

\(f(g(x)) = (g(x))^2 + 3\)

= (\(\sqrt{(x-4))^2 + 3}\)

\(= (x-4) + 3\)

\(= x - 1\)

Therefore,\(f(g(x)) = x - 1.\)

To find g(f(x)), we substitute f(x) for x in the expression for g(x):

\(g(f(x)) =\) \(\sqrt{((f(x)) - 4)}\)

= \(\sqrt{((x^2 + 3) - 4)}\)

= \(\sqrt{(x^2 - 1)}\)

= |x|\(\sqrt{(x^2 - 1)}\)

Therefore,  \(g(f(x)) =\) |x|  \(\sqrt{(x^2 - 1)}\)

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answer : 24

i think you subtract 13-16.12 =3.12

multiply 3.12 by 100 then divided it by 13 and you get 24 percent

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Answer:

explain please

Step-by-step explanation:

Therefore, Brittany paid a total of $497.05 for the 20 yards of mulch and the delivery.

In mathematics, an equation is a statement that two expressions are equal. Equations are written using an equals sign (=), which means that the expressions on both sides of the equals sign have the same value. Equations can have many different forms and types, depending on the variables and operations involved. Some common types of equations include linear equations, quadratic equations, exponential equations, trigonometric equations, and many others. Equations are used in many areas of mathematics and science, such as algebra, calculus, differential equations, physics, and engineering, to model and analyze the behavior of systems and phenomena. They are also used in computer programming and data analysis to solve problems and make predictions based on data.

Here,

Brittany paid for 20 yards of mulch, and the cost of the mulch is based on the amount of mulch delivered. We are given that for every 4 yards of mulch, the cost is $37.95. Therefore, the total cost for 20 yards of mulch can be found by multiplying the cost per 4 yards by 5, since 20 yards is 5 times 4 yards:

Cost of 20 yards of mulch = $37.95 x 5 = $189.75

In addition to the cost of the mulch, Brittany paid $307.30 for the delivery. Therefore, the total amount that Brittany paid for the mulch and the delivery is the sum of the cost of the mulch and the cost of the delivery:

Total amount paid = Cost of 20 yards of mulch + Cost of delivery

= $189.75 + $307.30

= $497.05

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Step-by-step explanation:

1.m=38 t=8

\(2m - 16 \times 2 = 44 \)

\(2m - 32 = 44\)

\(2m = 32 + 44\)

\(2m = 76\)

\(m = 38\)

2.

\(6t = 30 + 18\)

\(6t = 48\)

\(t = 8\)

The equation of the line is y = 3x +3 .

A straight line equation is that can be represented by y = mx +c , where m is the slope and c is the intercept on y axis.

The points given are (2,3) and (5,9)

m = (9-3)/(5-2) = 3

m = 3

Therefore the equation becomes

y = 3x +c

Te equation is given by

(y-y₁) = m(x-x₁)

y-3 = 3(x - 2)

y-3 = 3x -6

y = 3x +3

Therefore the equation of the line is y = 3x +3 .

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Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

Answer:

9/10

Step-by-step explanation:

The first two digit number is 10 and the last is 99. That's a total of 99-10+1 numbers in all. That simplifies to 90. (Just like if we wanted to see how many numbers was 3,4,5, we would do 5-3+1=3 to get the total number.

Anyways, let's consider first how many 2 digjt numbers whose digits are equal. You have 11 22,33,44 55,66,77,88,99 which is 9 numbers total.

So the amount of 2 digits number whose digits differ is 90-9=81.

The probability that a 2 digit number have different digits is 81/90.

This can reduce. Divide top and bottom by 9 giving 9/10.

Answer:

6

Step-by-step explanation:

=109

Answer:

3x-5?

Step-by-step explanation:

I hope im right.