it’s a geometric sequence

Answer:

Is that simultaneous equation

You can ask if something is not clear or you don't understand

The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=x-1 ...(1)

2x+y=8...(2)

By using substitution method we solve the value of x and y.

Substitute y value in equation (2)

2x+x-1=8

Combine the like terms

3x-1=8

Add 1 on both sides

3x=9

Divide both sides by 3

x=3

Now plug in x value in y equation.

y=3-1

y=2

Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

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Answer:

$2.3 per pound

Step-by-step explanation:

11.5 / 5 = 2.3

Question: If the subspace of all solutions of

Ax = 0

has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A.

Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.

Assume: The number of vectors is 3, and the dimension is 5 × 8.

Answer:

The rank of the matrix A is 5.

Step-by-step explanation:

In the standard basis of the linear transformation:

f : R^8 → R^5, x↦Ax

the matrix A is a representation.

and the dimension of kernel of A, written as dim(kerA) is 3.

By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.

That is:

rank(A) = dim(R^8) - dim(kerA)

= 8 - 3

= 5

Answer:

No, 864 is not a perfect square

Answer:

-14

Step-by-step explanation:

An algebraic expression in mathematics is an expression that is made up of variables and constants, along with algebraic operations such as addition, subtraction, etc.

The expressions that give -9 are −12 − (−3),  −5 − 4, and 5 − 14.

Option (A), (C), and (F) are the correct answer.

An algebraic expression in mathematics is an expression that is made up of variables and constants, along with algebraic operations such as addition, subtraction, etc.

We have,

A.

= −12 − (−3)

= -12 + 3

= -9

B.

= −10−1

= -11

C.

= −5 − 4

= -9

D.

= −1 − (−10)

= -1 + 10

= 9

E.

= 1 − (−8)

= 1 + 8

= 9

F.

= 5−14

= -9

We see that the expressions that give -9 are:

(A) −12 − (−3)

(C) −5 − 4

(F) 5−14

Thus,

The expressions that give -9 are:

Option (A), (C), and (F).

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Answer:

\(5mn^{2} (2+ 5m^{2} n)\)

Step-by-step explanation:

I assumed the polynomial is \(10mn^{2} +25m^{3}n^{2}\)

FIRST: Highlight the common factors{ 5 , m and\(n^{2}\))

\(5mn^{2} (2+ 5m^{2} n)\)

Answer:

14

Step-by-step explanation:

-4,-5

2,3

-4-2= -6

-5-3= -8

-6+-8= 14

Answer:

the answer to this question is 10

Step-by-step explanation:

May i have brainliest

The conclusion that Catherine must have just eaten because she took aspirin is an example of inductive reasoning.

Inductive reasoning involves drawing general conclusions based on specific observations or evidence. In this case, the specific observation is that Catherine took aspirin, and the general conclusion is that she must have just eaten.

Inductive reasoning relies on the idea that if a specific observation or evidence is consistently true, then a general conclusion can be inferred. However, it does not guarantee certainty. While it is likely that Catherine took aspirin after eating, there is still a possibility that she took it without eating, making the conclusion probabilistic rather than definitive.

Inductive reasoning is commonly used in everyday life to make predictions, form hypotheses, or draw general conclusions based on limited information or past experiences. It helps to make reasonable assumptions, but it is important to recognize its limitations and the possibility of alternative explanations.

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Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

\( = 49\)

Step-by-step explanation:

\( \sqrt{49} \times \sqrt{49} \)

\( = 49\)

hope it helps

Answer:

\(\sf\longmapsto \: 49\)

Step-by-step explanation:

\(\sf\longmapsto \sqrt{49} \times \sqrt{49} \)

\(\sf\longmapsto \: {49} \)

Answer:

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

Step-by-step explanation:

The Latin square that is balanced for residual effects is Latin Square 1.

To determine whether a Latin square is balanced for residual effects, we need to check if the order effects and carryover effects are equal across all rows and columns.

In Latin Square 1:

Order effects: Each treatment appears once in each row and column. Therefore, there are no order effects.

Carryover effects: Each treatment follows every other treatment once in each row and column. Therefore, there are no carryover effects.

Since there are no order or carryover effects in Latin Square 1, it is balanced for residual effects.

In Latin Square 2:

Order effects: Treatment A appears twice in row 1, while treatment D appears twice in row 2. Therefore, there are order effects.

Carryover effects: Treatment C follows treatment A twice in row 3, but only once in row 2. Therefore, there are carryover effects.

Since there are order and carryover effects in Latin Square 2, it is not balanced for residual effects.

Therefore, the Latin square that is balanced for residual effects is Latin Square 1.

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Answer:

the answer is D (the last answer)

Step-by-step explanation:

organism a is a plantae because its autotrophic

organism b is fungi cause its hetrotrophic

Answer:

I think D is correct

Step-by-step explanation:

Because the features of organism A belongs to kingdom Plantae And the features of organism B belongs to kingdom Fungi

B. \( |2x + 1| + 1\)

\(( |2x + 1| + 3) - 2\)

\( |2x + 1| + 3 - 2\)

\( |2x + 1| + (3 - 2)\)

\( = |2x + 1| + 1\)

Answer:

72.4 and 107.6

Step-by-step explanation:

on delta math

Answer:

9,-9

Step-by-step explanation:

Because your opponent is in the positive while you are in the negative

Answer:

Step-by-step explanation:

We can best determine this by putting the quadratic into work (vertex) form by completing the square. Move the -3 over to the other side to get

x^2 - 2x = 3. Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1, so we add that to both sides:

x^2 - 2x + 1 = 3 + 1 and do some simplifying to both sides. The left side is a perfect square binomial:

(x - 1)^2 = 4

Move the 4 back over to get the vertex form of the quadratic:

y = (x-1)^2 - 4

The "a" value is a 1. Since p is found using a, and the coordinates of the focal point are (h, k + p), we need the vertex and the value of a. Now we have both. The value of p is found in:

\(p=\frac{1}{4lal}\) (those are absolute value symbols), hence, our p value is 1/4.

The coordinates of the focal point are (1, -4 + 1/4) or (1, -15/4)

Answer:

The slope is -3

Step-by-step explanation:

Pick any 2 points I picked 4,7 and 3,4. Next Take your y2 which is 4 and subtract that by your y1 which is 7 and get -3. Next do x2- x1 which is 3-4= -1. So it would be -3/-1. And reduce to -3! <3

The original price of the bookcase before the sale is $300

Discount is defined as a deduction from the usual cost of something

Given that: the bookcase was bought for $210 at 30% off the original price. That means Javier got 30% discount

Let P represent the original price. Since the bookcase was bought for $210 at 30% off the original price. We can write that:

P - 30% of P  = 210

P - 0.3P = 210                      (Note: 30% = 30/100 = 0.3)

0.7P = 210

P = 210/0.7 = 300

Therefore, the price of the bookcase before the sale is $300

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The probability that all of the resulting pieces have length at least 2.5 cm is approximately 0.955.

Let's call the length of the first piece "x" and the length of the second piece "y". Since the stick has a total length of 41 cm, we know that

x + y = 41

We want to find the probability that both x and y are at least 2.5 cm. This means that

x >= 2.5 and y >= 2.5

We can rearrange the first equation to solve for one of the variables in terms of the other

y = 41 - x

Substituting this into the second equation, we get

x >= 2.5 and 41 - x >= 2.5

Simplifying the second inequality, we get

x <= 38.5

So the conditions for both x and y are

2.5 <= x <= 38.5 and 2.5 <= y <= 38.5

Now we need to find the probability of these conditions being met. We can visualize the possible values of x and y as a square with side length 38 (since the maximum value of x or y is 38.5). The area of this square is 38×38 = 1444.

The area of the region where both x and y are at least 2.5 can be found by subtracting the areas of the two triangles where x or y is less than 2.5 from the total area of the square

Area of region = 1444 - 2×(2.5×38) = 1378

So the probability that both x and y are at least 2.5 is

Probability = Area of region / Total area = 1378/1444 = 0.955

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The given question is incomplete, the complete question is:

Two points along a straight stick of length 41 cm are randomly selected. the stick is then broken at those two points. find the probability that all of the resulting pieces have length at least 2.5 cm?

Answer:

The length of AX is 5 cm

Step-by-step explanation:

Diagonal of a Rectangle

Given a rectangle of dimensions W by L (as shown in the image below), the diagonal D is the segment that joins two opposite corners of the rectangle.

The diagonals cross at the center of the rectangle in point X, thus the length of AX is half the length of the diagonal.

Note the diagonal is the hypotenuse of a right triangle with legs W and L, thus:

\(D^2=W^2+L^2\)

\(D^2=6^2+8^2\)

\(D^2=36+64=100\)

\(D=\sqrt{100}=10\)

The length of the diagonal is 10 cm, thus the required distance is AX=10/2 = 5 cm.

The length of AX is 5 cm

The inverse of (a) is If she did not go to the party, then she will not finish her homework.

The inverse of (b) is If he did not finish the race, then he will not have trained for the race.

The inverse of (c) is If she has no side effects then the patient will not take the medicine.

The converse of (a) is if she finished her homework, then she went to the party.

The converse of (b) is if he trained for the race, then he finished the race.

The converse of (c) is if the patient took the medicine, then she had side effects.

The contrapositive of (a) is if she did not finish her homework, then she did not go to the party.

The contrapositive of (b) is if he did not train for the race, then he will not finish the race.

The contrapositive of (c) is if the patient did not take the medicine, then she will not have side effects.

Converse: By swapping the hypothesis and the conclusion, a statement can be made to mean the converse. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel."

Inverse: Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."

Contrapositive: a statement or theorem created by swapping out the hypothesis and conclusion, or the subject and predicate, of a given statement or theorem. The opposite of "if A then B" is "if not-B then not-A."

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1. The frequency of the second harmonic is twice that of the fundamental frequency. The frequency of the second harmonic is, therefore, 120 Hz.

2. The 3rd, 9th, and 15th harmonics are triplen harmonics. Triplen harmonics are so-called because they are three times the fundamental frequency (50Hz). They are multiples of the third harmonic (150Hz) and are considered triplen harmonics.
3. A positive-rotating harmonic would be more damaging to an induction motor. Harmonics that rotate in the opposite direction to the fundamental frequency are referred to as negative-rotating harmonics. Positive-rotating harmonics are harmonics that rotate in the same direction as the fundamental frequency. Negative-sequence currents are created by negative-rotating harmonics, which cause a rotating magnetic field that rotates in the opposite direction to the fundamental frequency's magnetic field. This causes stator windings to heat up, which can cause a great deal of damage to an induction motor.
4. An ammeter should be used to determine what harmonics are present in a power system. An ammeter is used to determine the presence and quantity of current harmonics. It can also be used to compare the percentage of current distortion in the system with the maximum allowable percentage of current distortion, which is determined by the nature of the load.
5. The transformer's rating should be derated to avoid overheating. If an ammeter that indicates peak current is used instead of a true-RMS ammeter, the current reading is multiplied by 1.414 (the peak of the sine wave). The true-RMS current, on the other hand, is what creates heat in the transformer. The transformer should be derated to compensate for the current difference between the two meters. The derating factor can be found using the following equation:

true-RMS current/Peak reading x 100%. 94 A/204 A x 100%

= 46%.

The transformer should be derated by 46%.

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Answer:

Step-by-step explanation:

Total jars: 6+94=100

What percent is 6 of 100 = 6%

Answer:

Division!

Step-by-step explanation:

(1/6) ÷ (3/7)

(1/6)(7/3)

= 7 / 18

Answer:

A’ will be located on ray Ray B A.

B and B’ are the same point.

Line segment A B and Line segment BC will be part of the image’s sides.

Step-by-step explanation:

Given that the dilation is made through point B, B and B’ are the same point, A’ will be located on Ray BA, C’ will be located on Ray BC, line segment B'C' will be double than line segment BC, line segment B'A' will be double than line segment BA, and the pre-image (triangle ABC) will be inside the image (triangle A'B'C').

Answer:

A B D is your answer

Step-by-step explanation:

Answer:

3.5 ounces

Step-by-step explanation:

8.32 / 8 = 1.04

1 ounce is $1.04

3.64 / 1.04 = 3.5

The values of m∠WYX and m∠WYZ are 31° and 59° respectively. Option C

Complementary angles are defined as angles that sum up to 90 degrees.

Example:

If x and y are complementary angles, then;

x + y = 90°

From the information given, we have the angles;

since they are complementary, then;

2x - 7 + 3x + 2 = 90

collect like terms

2x + 3x = 90 + 5

Add like terms

5x = 95

Make 'x' the subject of formula

x = 95/5

x = 19

But;

m∠WYX = (2x − 7) = ( 2(19) - 7) = 38 - 7 = 31°

m∠WYZ = (3x + 2)° = (3(19) + 2) = 57 + 2 = 59°

Thus, the values of m∠WYX and m∠WYZ are 31° and 59° respectively. Option C

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Answer: 6.7

Step-by-step explanation: