The total number of fish in a tank was 200. Sarah added some fish and increased the number of fish by 18%.
How many fish did she add?

Answer: The equation ax = b is consistent for each b in \(R^n\).

Therefore, the statement is true.

Step-by-step explanation: The statement, "If a is an invertible n x n matrix, then the equation ax = b is consistent for each b in \(R^n\)" is true.

An invertible matrix is a square matrix that can be inverted, meaning it has an inverse matrix.

A matrix has an inverse if and only if the determinant of the matrix is nonzero.

Since a is invertible,

det(a)≠0.

Now, consider the matrix equation

ax = b.

We can obtain a solution by multiplying both sides of the equation by \(a^(-1)\):

\(a^(-1)ax = a^(-1)bI n\),

where \(I_n\) is the identity matrix.

Because

\(aa^(-1) = I_n\),

we obtain

\(I_nx = a^(-1)b\), or

\(x = a^(-1)b\),

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Answer:

the equation would be m = 12w but we can't see the options.

m stands for the amount of money made.

An equation that relates the lengths of the sides of the triangle is (2 + y)² + y² = 15².

The dimensions of this triangle are 9.56 cm by 11.56 cm by 15 cm.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

Based on the information provided about the side lengths of this right-angled triangle (one leg is 2 feet longer than the other leg), we have the following equation:

x = 2 + y

By substituting the side lengths and solving the quadratic equation, we have:

x² + y² = z²

(2 + y)² + y² = 15²

4 + 4y + y² + y² = 225

2y² + 4y - 221 = 0

y = 9.56 cm or y = -11.56 cm

x = 2 + y = 2 + 9.56 = 11.56 cm.

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ANSWER:

STEP-BY-STEP EXPLANATION:

Step-by-step explanation:

Use formula

y2-y1/x2-x1

Points = (-2,3) , (-14,-5)

-5 - 3/ -14 - (-2)

-8/-12

= 2/3

Decimals: 0.66666......

Hope it helps. Brainliest please.

The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

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Answer:

640 cm²

Step-by-step explanation:

The ratio of the area of 2 similar polygons = the ratio of the square of their corresponding lengths

Thus:

Area of Trapezoid ABCD to Area of Trapezoid EFGH = AB² to EF²

Area of Trapezoid ABCD = ? = x

Area of Trapezoid EFGH = 40 cm²

AB = 20 cm

EF = 5 cm

Substitute

x:40 = 20²:5²

x/40 = 400/25

x/40 = 16

Cross multiply

x = 16*40

x = 640

Area of trapezoid ABCD = 640 cm²

Option C. Between 1982 and 2012, there were fewer House members who fell between the most liberal Republican and the most conservative Democrat. represents a trend supported by the data in the bar graph

What is bar graph?

A bar graph, also known as a bar chart, is a graphical representation of categorical data using rectangular bars. It is used to compare and display the values of different categories or groups.

In a bar graph, each category or group is represented by a separate bar. The length or height of each bar corresponds to the value or frequency of the category it represents. The bars are typically drawn vertically or horizontally, with the length or height proportional to the data being represented.

The horizontal axis of a bar graph represents the categories or groups, while the vertical axis represents the values or frequencies. Labels or values are often placed along the axes to provide additional information.

Bar graphs are commonly used to visualize and compare data in various fields, including statistics, economics, market research, and social sciences. They provide a clear visual representation of data, making it easy to interpret and understand comparisons between different categories or groups.

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A statement 'He is not the winner, then, he is sick.' is a valid argument.

To test the validity of a given argument, we need to see if we can find a counter-example that makes one of the statements non-valid. If after analyzing the statements we can't find a counter-argument, then we can conclude that the argument is valid.

Here we will find that the argument is valid.

We can write given statement as:

1) If he participates in a race then he is the winner.

2) Either he participates in the race, or he is sick.

3) He is not the winner, then, he is sick.

Now, from the first statement, we know that this person participates in a race, he wins.

From the second statement we know that he only participates if he is not sick, we can rewrite that one as:

"If he is sick, then he does not participate in the race".

Finally, from the third one, if he does not win, then he is sick.

This makes sense, he only does not participate when he is sick, then the only races where he is not the winner, are these races where he does not participate, and he does not participate only if he is sick, then this is a valid argument.

Concluding, the 3 statements are valid, as we can't find any counter-argument to any of these 3.

Therefore, a statement 'He is not the winner, then, he is sick.' is a valid argument.

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Answer:

4

Step-by-step explanation:

First we need to get some definitions out of the way

Definition of a turning point

Definition of degree of polynomial

Answer:

error= 0.1/2, 0.05

4.8 + 0.05 = 4.85

6.3 + 0.05 = 6.35

4.85 x 6.35 = 30.7975 cm (when rounded, gives 30.80 cm).

Step-by-step explanation:

Answer:

61.74 Dirham

Step-by-step explanation:

I will assume that she saved 24.5 Dirham every month. To find out how much Mariam saved in total, you will multiply the amount saved every month by the amount of months she saved her Dirham. The equation is this:

24.5 × 2.52 = 61.74

Hope this helps friend.

Answer:

gradient = 4

Step-by-step explanation:

Calculate the gradient using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)

m = \(\frac{14-2}{3-0}\) = \(\frac{12}{3}\) = 4

Answer:

D. 256

80 times 4

320 times .20

320-64

Answer:

3x=-y+12

2x+3y=-6

collecting the like terms we have

3x+y=12

2x+3y=-6

to solve this simultaneous equation, we use substitution method

we make y the subject in equation one:

y=12-3x

then we put y=12-3x into 2x-3y=-6 in equation two

2x+3(12-3x)=-6

2x+36-9x=-6

-7x+36=-6

-7x=-6-36

-7x=-42

x=-42÷-7

x=6

then we put x=6 in y=12-3x:

y=12-3x

y=12-3(6)

y=12-18

y=-6

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After using the Simplification method we will get the value (x - 3) / (x + 5)

What is Simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. We can —

By eliminating all common elements from the numerator and denominator and putting the fraction in its simplest/lowest form, fractions can be made simpler.

By combining and grouping like terms, mathematical expressions can be made simpler. This makes the phrase simple to comprehend and to solve.

Given,

(x^2-x-6) / (x^2+7x+10)

This equation can be separated into two parts, the top and the bottom, which we can simplify further.

Simplifying the top part

x² - x - 6

This can be factored into the following:

x² + 2x - 3x - 6

x(x + 2) - 3(x + 2)

(x + 2)(x - 3)

Now, Simplifying the bottom part

x²+7x+10

x² + 2x + 5x + 10

x(x + 2) + 5(x + 2)

(x + 2)(x + 5)

Now, we can write the new numerator and denominator

(x + 2)(x - 3) / (x + 2)(x + 5)

(x - 3) / (x + 5)

Hence, (x - 3) / (x + 5) is the answer when simplifying

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Answer:

octopus

Step-by-step explanation:

because if you break it down one plus one is 2 V equals flamingo but if you get two flamingos two flightless things that would mean octopus yet octopus it's a water creature if his flight was put two flightless birds on water something might happen yes Flamingo plus Flamingo equals octopus

Answer:

\(f= \frac{G + 3m^3}{n}\)

Step-by-step explanation:

\(Nf= G + 3m^3\)

divide by n

\(f= \frac{G + 3m^3}{n}\)

Answer:

-5x - 16y - 24z

Step-by-step explanation:

5x - 2y - 6z - 10x - 14y - 18z

5x - 10x - 2y - 14y - 6z - 18z

-5x - 16y - 24z

The two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).

What are the binomials expression ?

The expression x(x − 8) − 9(x − 8) can be simplified as follows:

x(x − 8) − 9(x − 8) = x² - 8x - 9x + 72

= x² - 17x + 72

To find the two binomials, we need to factor the expression \(x^2 - 17x + 72\). We can do this by finding two numbers that multiply to 72 and add to -17. Those numbers are -8 and -9. Therefore, we can write:

\(x^2 - 17x + 72 = (x - 8)(x - 9)\)

Hence, the two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).

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Answer:

.15 * 60 = 9

$9

Step-by-step explanation:

The probability that the customer orders clothing either by itself or in combination with camping supplies is 0.75.

Probability theory: It is predicated on the likelihood that something will occur. The justification for probability serves as the basic foundation for theoretical probability.

Experimental likelihood: It is founded on the results of an experiment's observations. Based on the total number of trials divided by the number of outcomes, the experimental probability can be computed. For instance, if a coin is tossed ten times and the result is six times heads, the experimental probability of heads is six times ten, or three times five.

The probability of buying clothing P(clothing) = 0.4125

The probability of both = 0.3375

Thus, the probability that the customer orders clothing either by itself or in combination with camping supplies is:

P = P(clothing) + P (Both)

P = 0.4125 + 0.3375

P = 0.75

Hence, the probability that the customer orders clothing either by itself or in combination with camping supplies is 0.75.

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The complete question is:

Answer:

1/3

Step-by-step explanation:

5/15

= (5÷5)/(15÷5)

= 1/3

So, 1/3 is the simplest form.

Answer:

1/3

Step-by-step explanation:

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = \(3^{x + 2}\)

The asymptote is given as x → -∞, f(x) = \(3^{x + 2}\) → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = \(3^{0 + 2}\) = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = \(5^{1 - x}\)

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = \(5^{1 - 0}\) = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = \(2^{x + 3}\) - 1

The asymptote is \(2^{x + 3}\)  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  \(2^{0 + 3}\) - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, \(2^{x + 3}\) - 1 = 0

\(2^{x + 3}\) = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) \(f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2\)

The asymptote is \(\left (\dfrac{1}{2} \right)^{x - 2}\) → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = \(f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6\)

The y-intercept is (0, 6)

Answer:

........i dont understand but i think

Step-by-step explanation:

if your body is water and you grow that means that water grows too!!

Answer:

if you water water it grows

Step-by-step explanation:

Option C, y = e^(x+y) + x^2 + 3x - 2, requires the use of implicit differentiation to find dy/dx.

The expression that requires the use of implicit differentiation to find dy/dx is option C: y = e^(x+y) + x^2 + 3x - 2.

Implicit differentiation is a technique used to differentiate equations where the dependent variable y is not explicitly expressed as a function of x. It involves differentiating both sides of the equation with respect to x, treating y as an implicit function of x.

Let's apply implicit differentiation to option C:

Starting with the equation: y = e^(x+y) + x^2 + 3x - 2

To find dy/dx, we differentiate both sides of the equation with respect to x:

d/dx(y) = d/dx(e^(x+y) + x^2 + 3x - 2)

Using the chain rule on the right side of the equation, we get:

dy/dx = d/dx(e^(x+y)) + d/dx(x^2) + d/dx(3x) - d/dx(2)

The derivative of e^(x+y) with respect to x requires the use of implicit differentiation. We treat y as an implicit function of x and apply the chain rule:

d/dx(e^(x+y)) = e^(x+y) * (1 + dy/dx)

The derivatives of the remaining terms on the right side are straightforward:

d/dx(x^2) = 2x

d/dx(3x) = 3

d/dx(2) = 0

Substituting these derivatives back into the equation, we have:

dy/dx = e^(x+y) * (1 + dy/dx) + 2x + 3

Next, we isolate dy/dx on one side of the equation by moving the term involving dy/dx to the left side:

dy/dx - e^(x+y) * dy/dx = e^(x+y) + 2x + 3

Factoring out dy/dx, we get:

(1 - e^(x+y)) * dy/dx = e^(x+y) + 2x + 3

Finally, we solve for dy/dx:

dy/dx = (e^(x+y) + 2x + 3) / (1 - e^(x+y))

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Answer:

Step-by-step explanation:

For bubble answers:

1. A

2.  B

3.  B

4. C

5. A

6. B

7. C

8.  B

9. B

One or two may be wrong sorry