Determine whether the system
has no, one, or infinitely many
solutions.
2x + 3y = -17
y = x - 4
A. infinitely many solutions
B. one solution
C. no solutions

a) The sample space for the outcomes is given as follows:

b) The probability of a sum of 7 or greater is given as follows: 7/12.

c) The probability of a sum of 7 or greater than the first dice shows a three is of: 1/2.

d) The probability of at least one three being shown is of: 11/36.

In the context of an experiment, a probability is calculated as the division of the number of desired outcomes in the context of the problem by the number of total outcomes in the context of the experiment.

For the two dice, there are 6²  = 36 total outcomes, which compose the sample space given at the beginning of the answer.

The number of outcomes with a sum of at least 7 are given as follows:

1 + 2 + 3 + 4 + 5 + 6 = 21.

Hence the probability is of:

p = 21/36 = 7/12.

The probability when the first dice shows a three is given as follows:

p = 3/6 = 1/2.

As the sample space for the above probability is:

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6). -> The last 3 have a sum of 7 or greater.

The probability of at least one three is given as follows:

p = (5 + 6)/36 = 11/36.

The third line has 6 items with at least one three, and then the other five lines each has one outcome with a three, then the desired number of outcomes for this above probability is of 11.

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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:

Sin M= opposite/hypotenuse, cos M= adjacent/Hypotenuse, tan M= opposite/adjacent

Step-by-step explanation:

Answer:

sinM= \(\frac{opposite}{hypotenuse}\)

cosM= \(\frac{adjacent}{hypotenuse}\)

tanM= \(\frac{opposite}{adjacent}\)

Answer:

C

Step-by-step explanation:

In order to be able to find the volume of a pyramid you need to find the 1/3(area of it base x height)

Answer:

c

Step-by-step explanation:

The formula to finding the volume of a pyramid is:

\(\frac{1}{3}\) (area of its base x height)

The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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Check the picture below.

Answer:

the answer is 52

Step-by-step explanation:

you have to keep simplyfing the problem until you get the answer

can i please have brainliest

Answer:

Step-by-step explanation:

Combine like terms, in this case there is only x

\(3x+2x-x+2x^2+4\\4x+2x^2+4\\2x^2+4x+4\\2(x^2+2x+2)\)

Answer:

19.2

Step-by-step explanation:

32% as a decimal is 0.32.

60x0.32 is 19.2.

They are similar because we have the same interior angles in each triangle

angle A = angle A'

angle B= angle B'

angle C= angle C'

as we can see also the sides also are equals, so these triangles are

Answer:

here to help u win!!

Step-by-step explanation:

With the Gauss-Seidel method, we use the new values as soon as they are known. For example, once we have computed from the first equation, its value is then ...

The number remaining in the village is 30.

We have to note that the case in which the population of the community is being reduced because of the fact that the community is being ravaged by disease is a case of a decrease in the population and is a problem of exponential decrease.

Then we would have that;

N =Noe^-rt

N = Number at time t

No = Initial number

r = spread rate

t = time taken

Then;

N = 200e^-0.95 * 2

N = 30

Thus, they would have only 30 people left.

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The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer:

Please explain it in English

Answer:

11.2 cm

Step-by-step explanation:

The missing side = the hypotenuse

Apply pythagorean theorem to find he hypotenuse which is given as:

c² = a² + b³

a = 10 cm

b = 5 cm

c = Hypotenuse (missing side)

(Hypotenuse)² = 10² + 5² = 125

Hypotenuse = √125

Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)

Answer:

Step-by-step explanation:

a.11/12 =11 is numerator and 12 is denominator

b.7/512 =75 is numerator and 512 is denominator

c.12/10 = 12 is numerator and 10 is denominator

d0/78 = 0 is numerator and 78 is denominator

point to remember : In fraction,upper part is always numerator and down part is denominator.

Answer:

m=10  y=5 / (0, 5)

Step-by-step explanation:

Slope-int form: y=mx+b

So;

10x-y=5

+10x  +10x

y = 10 x + 5

Answer:

Volume of cuboid = 2000 m³

Step-by-step explanation:

Given the following data;

Base area = 500 m²

Height = 4m

To find the volume of a cuboid;

The volume of a cuboid is given by the formula;

Volume of cuboid = length * breadth * height

But remember, base area = length * breadth

Therefore, the volume of the cuboid becomes;

Volume of cuboid = base area * height

Substituting into the equation, we have;

Volume of cuboid = 500 * 4

Volume of cuboid = 2000 m³

The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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The number of cards left to be signed is 32 cards.

To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.

Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:

75 - 30 = 45 cards.

Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.

After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:

45 - 5 = 40 cards.

Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.

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According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer: 9

Step-by-step explanation:

From doing the math I think it should be 9

Start with the smallest number, 18:

      The factors of 18 are: 1, 2, 3, 6, 9, 18.

So the GCF for all three must be one of those.

Now consider the next smallest number.  Of the factors of 18, only these are also factors of 27:

    1, 3, 9

Now consider the last number, 54.  Of the remaining factors, 9 is the greatest and 9 goes into 54.

The GCF is 9.

By starting with the smallest number, you usually limit how many factors you'll ever need to consider.

1. The mean age of the team is 21 years.

2. The age of the new player is 34 years

1. From the information, the following can be deduced:

AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23

FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1

Mean = Age × Frequency / Sum of frequency

= [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]

= 38 + 60 +21 + 88 + 23 = 230

Sun of frequency = 2 + 3 + 1 + 4 + 1= 11

Mean(X) = 230 / 11

X = 21

The mean is 21 years.

2. A new player joins and raises it to 22 years. Let age of new player = y

Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y

Number of players = 11 + 1 = 12

Mean(x) = sum of ages / number of players

New mean (x) = 22

x = (230 + y) / 12

22 = (230 + y) / 12

Cross multiply

264 = 230 + y

y = 264 - 230

y = 34 years

The age is 34 years.

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Complete question

The table shows the ages of players on a football team.

Age

Frequency

a) Work out the mean age of the team.

Round your answer to 1 decimal place.

19

2.

20

3

21

1

b) A new player joins the team and raises

the mean age to 22.

22

4

23

1

Work out the age of this new player

Answer:

\(EF = 13\)

\(GH = 5\)

\(EH = 13\)

Step-by-step explanation:

Given

The attached figure

\(EG = 12\)

\(FG = 5\)

Solving (a): EF

Since m is a perpendicular bisector, then <EGF and <EGH are right-angled.

So, EF will be calculated using Pythagoras theorem which states:

\(EF^2 = EG^2 + FG^2\)

\(EF^2 = 12^2 + 5^2\)

\(EF^2 = 144 + 25\)

\(EF^2 = 169\)

Take the positive square roots of both sides

\(EF = \sqrt{169\)

\(EF = 13\)

Solving (b): GH

Since m is a perpendicular bisector, then GH = FG

\(FG = 5\)

\(GH = FG\)

\(GH = 5\)

Solving (c): EH

Since m is a perpendicular bisector, then EH = EF

\(EF = 13\)

\(EH = EF\)

\(EH = 13\)

2d, 7, and 5f i hope this helps

Answer:2d,7,and 5f

Step-by-step explanation:

Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

Answer:

946 mm

Step-by-step explanation:

(332*2)+(141*2)