Solve the system using matrices (row operations) =-8 40 + 4y 2 - 2y + 6z 27 -9-42 = 22 =0 How many solutions are there to this system? A. None OB. Exactly 1 OC. Exactly 2 OD. Exactly 3 E. Infinitely many OF. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, entert in the answer blank for z, enter a formula for y in terms of t in the answer blank for y and enter a formula for a in terms of t in the answer blank for z. If there are no solutions, leave the answer blanks for 2, y and z empty.

Given the points (8,3) and (4,9), we can find the slope of the line that passes through them with the following formula:

In this case, we have the following:

Answer:

48/125.

Step-by-step explanation:

a. The distribution needed to solve this problem is the binomial distribution. The binomial distribution is a probability distribution that describes the number of successes in a sequence of independent experiments each of which yields success with probability p. In this case, each experiment is the student guessing the answer to one of the three questions, and success is the student guessing the answer correctly. The probability of success is

p= 1/5, since there are five possible answers to each question and the student is guessing randomly.

b. The probability that the student got only one question correct is given by the binomial distribution with n=3, p= 1/5, and k=1:

P(X=1)= (3/1) * (1/5) * (4/5)^2

Therefore, the probability that the student got only one question correct is  48/125.

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Answer:

x = \(\frac{7}{10}\)

Step-by-step explanation:

Given

4x - \(\frac{4}{5}\) = 2 ( multiply through by 5 to clear the fraction )

20x - 4 = 10 ( add 4 to both sides )

20x = 14 ( divide both sides by 20 )

x = \(\frac{14}{20}\) = \(\frac{7}{10}\)

x=7/10

Step-by-step explanation:

4x-4/5=2

multiply all through by 5

20x-4=10

collect like terms

20x=14

divide all through by 20

x=14/20

x=7/10

The ANOVA procedure is a statistical approach used to determine whether the means of three or more groups are equal.

ANOVA, which stands for Analysis of Variance, is a statistical technique that compares the means of multiple groups to assess if they are significantly different from each other. It is specifically designed for situations where there are three or more groups or treatments being compared. The goal is to determine whether the observed differences in means are statistically significant or if they can be attributed to random variation. ANOVA assesses the variability between the group means and within each group, allowing researchers to make inferences about population means based on sample data. Therefore, the correct answer is that the ANOVA procedure is used to determine whether the means of three or more groups are equal.

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We have the following:

We can solve the triangles by means of the trigonometric ratios, which relate the hypotenuse with the legs.

The main trigonometric ratios are:

1.

To calculate the first triangle we must use the trigonometric cosine ratio, which relates the hypotenuse with the adjacent leg:

2.

To calculate the first triangle we must use the trigonometric ratio sine, which relates the hypotenuse with the opposite leg

3.

To calculate the first triangle we must use the tangent trigonometric ratio, which relates the adjacent leg with the opposite leg

Answer:

23

Step-by-step explanation:

if you break this shape into 2 shapes it will be easier to solve

Answer:

Dilation of 0.5.

Step-by-step explanation:

Dilations are basically scale factors. If you multiply both x and y by 0.5, you get the transformation.

Example:

E (-5 ·0.5 , -3 · 0.5)

E' (-2.5, -1.5)

Answer:

30 students

Step-by-step explanation:

First, subtract 2 from 122:

122 - 2

= 120

Then, divide this by 4:

120/4

= 30

So, there are 30 students in his class.

Answer:

30 students

Step-by-step explanation:

Out of the given options, the function "\(f(t) = e^{(t + t^2)}\)" is the complex variable.

A complex variable is a mathematical quantity that can take on both real and imaginary values. In the given options, the function "\(f(t) = e^{(t + t^2)}\)" involves the variable "t" in the exponent. This makes it a complex variable because the exponent can result in both real and imaginary values.

In contrast, the other options do not involve such exponential or variable components that can yield imaginary values. The first option, "sigma + j omega", represents a complex number with a real part (sigma) and an imaginary part (j omega), but it is not a variable itself.

The second option, "integral \(e^{(-s t)} dt\) ", represents an integral expression involving the variable "t", but it does not yield a complex value. The third option, "|sigma(t)|", represents the absolute value of a function, which is a real value.

Therefore, out of the given options, the function "\(f(t) = e^{(t + t^2)}\\\) " is the complex variable.

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Answer: x = 18

Step-by-step explanation:

1) 100% - 54.5% = 45.5%.

2) 45.5/100 = 0.455.

3) 0.455 * X = 8.19g.

4) x = 8.19/0.455.

5) x = 18.

Answer:

Yes they both are equal

Answer: x=4

Step-by-step explanation:

Isolate x using opposite operations.

2x + 3 = 11

2x = 8

x = 4

Answer:

4

Step-by-step explanation:

subract 3 from 11

2x=8

divide by 2

x=4

1(a) The equation in slope-intercept form, where the slope is -A/B and the y-intercept is C/B

1(b) There is an infinite number of solutions.

1a. If you see Ax + By = C, C ≠ 0, it’s a line in standard form. To graph it, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept. To convert the equation from standard form to slope-intercept form, we can solve for y:

Ax + By = C

By = -Ax + C

y = (-A/B)x + (C/B)

Now we have the equation in slope-intercept form, where the slope is -A/B and the y-intercept is C/B. We can plot the y-intercept on the y-axis and then use the slope to find another point on the line.

For example, if the slope is -2/3, we can go down 2 units and to the right 3 units from our y-intercept to find another point on the line. Then we can draw a straight line through these two points to graph the line.

1b. If you try solving a 2x2 system by graphing and find the two lines exactly coincide, then the answer is an infinite number of solutions. This means that any point on the line satisfies both equations in the system.

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Step-by-step explanation:

answers...................

You need to get graphing paper

Answer:

This quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.

Step-by-step explanation:

To prove this quadrilateral is a parallelogram you want to show that the opposite sides are parallel by finding the slopes of each. Which means the parallel lines have to have the same slopes if it is a parallelogram.

To find slope we use M= Y1-Y2/X1-X2

Lets start with A and B

M=7-8/2-(-2)

so M= -1/4 for Line AB

Now lets find C and D

M=2-1/1-5

so M=-1/4 for line CD

So this quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.

The graph of f(x) = x^3 -6x^2 + 4x +1 hits 3 times to the x-axis

Hence, option (D) is the correct choice.

We have the function:

f(x) = x^3-6x^2+4x+1

The values of the variable in a function that cause the function to equal zero are known as the zeros of the function. The places on the x-axis where the graph crosses the x-axis are known as a function's zeros graphically. In other words, we may say that a function's zeros are the graph's x-intercepts.

The zeros of the function will be:

x^3-6x^2+4x+1 = 0

Since the last term is positive, so (x-1) will be the factor of the above equation.

Factorising, we will get,

(x-1)(x^2-5x-1)=x^3-6x^2+4x+1

So, one factor will be x = 1

Now solving the quadratic equation,

The roots will be: \(x^2 = \frac{( 5 \pm \sqrt 29)}{2}\)

So, the value of both roots will be: (x-5.19)(x+0.192)

Therefore, the graph will hit x-axis at these three points.

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Answer:to dig 8 hectares in 12 days, we would require 30 men.

To find out how many men are required to dig 8 hectares of land in 12 days, we can use the concept of man-days.

We know that 18 men can dig 6 hectares of land in 15 days. This means that each man can dig \(\(6 \, \text{hectares} / 18 \, \text{men} = 1/3\)\)  hectare in 15 days.

Now, we need to determine how many hectares each man can dig in 12 days. We can set up a proportion:

\(\[\frac{1/3 \, \text{hectare}}{15 \, \text{days}} = \frac{x \, \text{hectare}}{12 \, \text{days}}\]\)

Cross multiplying, we get:

\(\[12 \, \text{days} \times 1/3 \, \text{hectare} = 15 \, \text{days} \times x \, \text{hectare}\]\)

\(\[4 \, \text{hectares} = 15x\]\)

Dividing both sides by 15, we find:

\(\[x = \frac{4 \, \text{hectares}}{15}\]\)

So, each man can dig \(\(4/15\)\)  hectare in 12 days.

Now, we need to find out how many men are required to dig 8 hectares. If each man can dig  \(\(4/15\)\) hectare, then we can set up another proportion:

\(\[\frac{4/15 \, \text{hectare}}{1 \, \text{man}} = \frac{8 \, \text{hectares}}{y \, \text{men}}\]\)

Cross multiplying, we get:

\(\[y \, \text{men} = 1 \, \text{man} \times \frac{8 \, \text{hectares}}{4/15 \, \text{hectare}}\]\)

Simplifying, we find:

\(\[y \, \text{men} = \frac{8 \times 15}{4}\]\)

\(\[y \, \text{men} = 30\]\)

Therefore, we need 30 men to dig 8 hectares of land in 12 days.

In conclusion, to dig 8 hectares in 12 days, we would require 30 men.

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It would require 30 men to dig 8 hectares of land in 12 days.

To find how many men are required to dig 8 hectares of land in 12 days, we can use the concept of man-days.

First, let's calculate the number of man-days required to dig 6 hectares in 15 days. We know that 18 men can complete this task in 15 days. So, the total number of man-days required can be found by multiplying the number of men by the number of days:
\(Number of man-days = 18 men * 15 days = 270 man-days\)

Now, let's calculate the number of man-days required to dig 8 hectares in 12 days. We can use the concept of man-days to find this value. Let's assume the number of men required is 'x':

\(Number of man-days = x men * 12 days\)

Since the amount of work to be done is directly proportional to the number of man-days, we can set up a proportion:
\(270 man-days / 6 hectares = x men * 12 days / 8 hectares\)

Now, let's solve for 'x':

\(270 man-days / 6 hectares = x men * 12 days / 8 hectares\)

Cross-multiplying gives us:
\(270 * 8 = 6 * 12 * x2160 = 72x\)

Dividing both sides by 72 gives us:

x = 30

Therefore, it would require 30 men to dig 8 hectares of land in 12 days.

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Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Answer:

\( \sf \: \frac{6}{7} \times 14 = 12\)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: \frac{6}{7} \times 14\)

Let's solve the problem,

\( \sf \rightarrow \: \frac{6}{7} \times 14\)

\( \sf \rightarrow \frac{6}{\cancel{ \: 7 }} \times \cancel{14}\)

\( \sf \rightarrow \: 6 \times 2\)

\( \sf \rightarrow \: 12\)

Hence, the answer is 12.

Answer: 40%

Step-by-step explanation:

Take 170 divided by 425, then times 100% = 40%

So 40% of the guests ordered food!

Answer:

Acute, right angle, obtuse, reflex

Step-by-step explanation:

Answer:

Acute

right angle

obtuse

reflex angle

Step-by-step explanation:

The number 3 107/125 is greater than  3.151.

A number that is stated as bοth a whοle number and a fractiοn, such 3 1/2, is referred tο as a mixed number. A fractiοn, such as 7/2, that has the numeratοr higher than οr equal tο the denοminatοr is referred tο as an imprοper fractiοn. Yοu must multiply the whοle number by the denοminatοr, add the numeratοr, and then place it οver the οriginal   denοminatοr in οrder tο cοnvert a  mixed number tο an imprοper fractiοn.

Divide the numeratοr by the denοminatοr and then write the residue as a fractiοn with the same denοminatοr tο turn an imprοper fractiοn intο a mixed number.

The given numbers are: 3.515 οr 3 107/125.

Cοnvert 3 107/125 tο a decimal.

3 107/125 = (3 * 125 + 107)/125 = 482/125 = 3.856

Cοmparing the twο 3.515 and 3.856 we οbserve that 3.856 is greater than 3.515.

Hence, the number 3 107/125 is greater than 3.151.

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The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.

A quotient is a quantity produced by the division of two numbers.

The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.

For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.

To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:

              2x² + x – 3

x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3

              –(2x⁴ – 2x³ + 2x²)

                 x³ – 5x² + 7x – 3

              –(x³ – 2x² + x)

             –3x² + 6x – 3

            –(3x² + 6x – 3)

                    0

Thus, the quotient is 2x² + x – 3.

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Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

Hi there! You still remember the Pythagorean Theorem, right? It's useful when it comes to finding a missing leg or side of a right triangle. If you forget then here it is:

\( \large \boxed{ {a}^{2} + {b}^{2} = {c}^{2} }\)

Define c = hypotenuse while a and b can be both adjacent and opposite (because a²+b²=b²+a² via addition property)

Since we are missing the adjacent side. Thus,

We define a = 6 and c = 14.

\( \large{ {6}^{2} + {b}^{2} = {14}^{2} } \\ \large{36 + {b}^{2} = 196} \\ \large{ {b}^{2} = 196 - 36} \\ \large{ {b}^{2} = 160} \\ \large{ b = \sqrt{160} \longrightarrow \boxed{b = 4 \sqrt{10} }}\)

Put the value of b in a calculator then round to the nearest tenth and get 12.6

Thus, the value of b ≈ 12.6

Next we are going to find the angle in degree. We now know that b ≈ 12.6 or 4sqrt(10)

We can find the value of angle A by using tan or sin but I will use sin instead. Recall the sine ratio which is opposite to hypotenuse. Thus,

\( \large{sinA = \frac{6}{14} }\)

Use arcsin(6/14) and put it in calculator.

Then put the decimal value of arcsin in sin and convert in degree form which we should get 24. 555°. Round to the nearest whole number and we get 25°

Thus, the angle A is 25°

Next is we are finding the value of angle B. We aren't going to use any formula or equation. Recall that three angles add up to 180°.

Thus, 25° + 90° + x = 180°

90° comes from a right angle.

115+x = 180

x = 180-115

x = 65°

Thus, the angle B is 65°

Answer

Answer:

13 books

Step-by-step explanation:

15 + 8 = 23

23-10=13

Answer:

you have to use the formula

Step-by-step explanation:

length times with time height

Answer:

x = 15.008

Step-by-step explanation:

9^2 + x^2 = 17.5^2

x^2=225.25

x = 15.008