Daisy has 1/8 tank of gas remaining when she pulls into a gas station. After she puts 15 gallons of gas in her car, the gas gauge reads 3/4 full. How many gallons of gas does Daisy’s tank hold?

*Please Show Work*

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

Um...

I know the answer to Part A, but not to Part B.

Step-by-step explanation:

The answer for Part A is 7n + 5. Hope this helps!

Answer: 2

Step-by-step explanation:

parenthesis goes first which is 8-3 (y-z) = 5. Next goes multiplication which is 2 times 5= 10. after is division which is 10 divided 6-1 (x-1). 6-1 is 5 so 10 divided 5 is 2

Answer:

A: equiangular   S: Right

Step-by-step explanation:

The calculated value of x at g(x) = 2 is x = 2.5

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

f(x) = 3x - 1

Also, we have

g(x) = 2x - 3

When g(x) - 2, we have

2x - 3 = 2

So, we have

2x = 5

Divide by 2

x = 2.5

Hence, the value of x at g(x) = 2 is x = 2.5

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Answer:4

Step-by-step explanation:

Answer:

its actually  5:36

Step-by-step explanation:

Answer:

Are you serious?

Step-by-step explanation:

That's pretty much unanswerable.

Answer:

$58.33 per chair

Step-by-step explanation:

suppose they are independent of a geometric random variable with parameter p. Let M = max(x1,....,xN) (a) Find P{M<} by conditioning on N is  nλe^(-nλx)

Given fx (x) = λe^λx

Fx (x) = 1 – e^-λx      x…0

To find distribution of Min (X1,….Xn)

By applying the equation

fx1 (x) = [n! / (n – j)! (j – 1)!][F(x)]^j-1[1-F(x)]^n-j f(x)

For minimum j = 1

[Min (X1,…Xn)] = [n!/(n-1)!0!][F(x)]^0[1-(1-e^-λx)]^n-1λe^-λx

= ne^[(n-1) λx] λe^(λx)

= nλe^(-λx[1+n-1])

= nλe^(-nλx)

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In the above triangle,

1) the sum of side 1 and 2 is: 4x² + 3x + 4
2) the length of side 3 is: 5x³-6x²-12

1) To find the sum of side 1 and side 2, we simply need to add them together.

Side 1 = 3x² - x - 1

Side 2 = x² + 4x +  5

Side  1 + Side 2 = (3x²  - x - 1) + (x²  + 4x +  5)

= 3x² + x² - x + 4x - 1 + 5

= 4x² + 3x + 4

Therefore, the sum of side 1 and side 2 is = 4x² + 3x + 4

2)  We can derive the expression of the thried side by removing the expression in  (1) above form the perimeter.

That is;

(5x³-2x² + 3x - 8) - (4x² + 3x + 4)

First we distribute the negative sign

= 5x³-2x² + 3x - 8 + -1 (4x² + 3x + 4)

= 5x³-2x² + 3x - 8 + -1 (4x²) -1( 3x) -1( 4)

= 5x³-2x² + 3x - 8 + -4x² - 3x - 4

Combining like terms we have

= (5x³) (-2x²+-4x²) + (3x +- 3x) + (-8 +   - 4)

= 5x³-6x²-12

Hence the missing side (thrid side is) 5x³-6x²-12

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Answer:

0.9036

Step-by-step explanation:

Calculation to determine the probability that the proportion of Labradors

P(Proportion greater than 4%)

= P(z> 0.04 -0.05 /√0.05 * 0.95/806

= P(z > -1.30)

=0.9036

Thereforethe probability that the proportion of Labradors is =0.9036

Answer:

y=3x+53

y=-19/9 -13x/9 +5z/9

Step-by-step explanation:

i only did one and two sorry:/

Answer:

21x - 7y + 512= 141  equals y= j^21x/7 + 53

13x + 9y - 5z = -19  equals  y= -19/9 - 13x/9 + 5z/9

192 8y + 232 = 30 equals

x-3 = 6

4x=8

2x = 16

The measure of the arc AT in this problem is given as follows:

mAT = 159º.

The measure of arc AT is obtained applying the two secant theorem, which states the angle measure of intersection of the two secant segments is half the difference of the measure of the far arc by the measure of the near arc.

The parameters for this problem are given as follows:

Hence the measure of the arc AT in this problem is given as follows:

(mAT - 59)/2 = 50

mAT - 59 = 100

mAT = 159º.

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Answer:

Option C: 11 is the correct answer.

Step-by-step explanation:

Given that:

Length of base of isosceles triangle = b =  x

The length of leg of triangle = a = 3x-7

Perimeter of triangle = 63

Perimeter of an isosceles triangle is given by

Perimeter = 2a + b

Putting values in the formula

63 = 2(3x-7) + x

63 = 6x-14+x

63 = 7x-14

63+14=7x-14+14

77=7x

7x=77

Dividing both sides by 7

\(\frac{7x}{7}=\frac{77}{7}\\x=11\)

The value of x is 11.

Hence,

Option C: 11 is the correct answer.

Answer:

-5 < x ≤ 1

Step-by-step explanation:

Bob investment

Sarah's investment

Difference(sarah interest - Bob interest) = 1313.80413953 - 1225 = 88.8041395281 = $88.80

Therefore, Sarah have $88.80 interest more than Bob.

Answer:

Step-by-step explanation:

Step-by-step explanation: 3. 106.977

If you apply the law of Cosines, you should get

106.977 for 3.

Answer:

203,116.

Step-by-step explanation:

The factor of decreasing population is 100 - 1.4 = 98.6% or 0.986.

So next years population will be 206000 * 0.986

= 203,116

The next year's population be 203, 116.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

The population this year is 206,000.

The population of a city decreases by 1.4% per year.

So, the population in next year will be

= 206, 000 x (1- 1.4)

= 206,000(1- 0.014)

= 203, 116

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Answer:

Step-by-step explanation:

The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.

The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:

3s + s = (3 + 1)s = 4s

Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.

Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.

Step-by-step explanation:

Answer:

Since there is so table shown here, I advice you to divide 112 with the number of flowers in each vase. Like for example lets say that the amount of flowers in each vase is 16. You would need to divide 112 and 16. Thats 7. So the "answer" would be 7. Do the same (divide 112) with the amount of flowers you have in your table.

The area inside the polar curve R = 2cos(3θ) for three full rotations is 6π.

The polar curve R = 2cos(3θ) is symmetric about the x-axis, with three petals that extend from θ = 0 to θ = π/3, π to 4π/3, and 5π/3 to 2π. To find the area inside the curve, we need to integrate the expression for the area element in polar coordinates over the desired region:

dA = (1/2) \(R^{2}\) dθ

The limits of integration for θ are from α = -6π to β = 6π, since we want to find the total area inside the curve for three full rotations. Thus, the integral for the area is:

A = ∫(β=6π, α=-6π) (1/2) \(R^{2}\)dθ

= ∫(β=6π, α=-6π) (1/2) (2cos(3θ))^2 dθ

= 2∫(β=6π/3, α=-6π/3) cos^2(3θ) d(3θ) (using the identity cos^2(3θ) = (1 +    cos(6θ))/2)

= ∫(β=6π/3, α=-6π/3) (1/2 + (1/2)cos(6θ)) d(3θ)

= (1/2)θ + (1/12)sin(6θ) ∣(β=6π/3, α=-6π/3)

= (1/2)(6π - (-6π)) + (1/12)(sin(36π) - sin(-36π))

= 6π

Correct Question :

Find The Area Inside R=2cos(3θ) (Tip: Use Α=−6π And Β=6π )

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Anita would weigh 100 lbs

Answer:

ox,-3

Step-by-step explanation:

Triangles are shown to be congruent by the statement that "Angles are congruent by vertical angles."

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given two triangles, Where the base of these triangles are same

And also given that the two angles are the same.

Since,

Two intersecting lines form a pair of vertical angles. The vertical angles are opposite angles with a common vertex (which is the point of intersection).

Thus, the third angle is also equal

From AAS:

AAS stands for Angle-Angle-Side. When two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent

Therefore. "Angles are congruent by vertical angles" is used to show the triangles are congruent by AAS,

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Answer:

No. This is not true.

2x2x2x2x2 = 32

5x5 = 25

Therefore,

2^5 does NOT equal 5^2.

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads....}\)

\(\mathbf{Does\ 2^5 = 5^2?\ Use \ the\ drop-down\ menus\ to \ explain}\)

\(\huge\textbf{Breaking down the first equation:}\)

\(\mathbf{2^5}\\\\\mathbf{= 2\times 2 \times 2 \times 2 \times 2}\\\\\mathbf{= 4 \times 4 \times 2}\\\\\mathbf{= 16 \times 2}\\\\\mathbf{= 32}\)

\(\huge\textbf{So, the first choice \boxed{answer} is:}\)

\(\huge\boxed{\mathsf{2\times2\times2\times2\times2}}\huge\checkmark\)

\(\huge\textbf{Answering number 2:}\)

\(\mathbf{Since, your\ 2\ expressed\ 5\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 2}}\huge\checkmark\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\huge\textbf{Breaking down the second equation: }\)

\(\mathbf{5^2}\\\\\mathbf{= 5\times5}\\\\\mathbf{= 25}\)

\(\huge\textbf{So, the third choice \boxed{answer} is:}\)

\(\huge\boxed{\mathsf{5\times5}}\huge\checkmark\)

\(\huge\textbf{Answering number 4:}\)

\(\mathbf{Since, your\ 5\ expressed\ 2\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 5}}\huge\checkmark\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\mathbf{2^5 \neq 5^2}\\\\\\\mathbf{32 \neq 25}\)

\(\large\text{Since }\rm{2^5}\large\text{ and }\rm{5^2}\large\text{ have }\large\boxed{\textbf{ no common factors }},\large\text{ they \boxed{\textbf{ are not }}}\large\text{ equal.}\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

C

Step-by-step explanation:

|15-26| = 11  

|-8+19| = 11

11/3 + 11/2 = 22/6 + 33/6

22/6 + 33/6 = 55/6

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

18 units

Step-by-step explanation:

Area = length * width (A = L * w)

So, in order to find the length when given the width and area, you have to divide the area by the width.

432 / 24 = 18

I hope this helps! Have a lovely day!! :)

\(x=-2 \implies y=(1/3)^{-2}=3^{2}=9\\\\x=-1 \implies y=(1/3)^{-1}=3\\\\x=0 \implies y=(1/3)^0=1\\ \\ x=1 \implies y=1/3\\\\x=2 \implies y=(1/3)^2 =1/9\)

Using these points, the correct graph is shown in option C.

Step-by-step explanation: f ( x ) = x4 - x3 - 4x2 + 4x