PLEASE HELPPPPPPPPPPPP

Answer:

a. True

b. True

c. False

d. False

e. False

Step-by-step explanation:

a

\(x-y-z=1\\x+2y-2z=2\\3x+3y-3=3\\\\\begin{pmatrix} 1 & 1 & -1|&1\\ 2&2&-2|&2\\3&3&-3|&3\end{pmatrix}\\\\\\R_2 \rightarrow R_2-R_1\\R_3 \rightarrow R_3-R_1\\\\\begin{pmatrix} 1 & 1 & -1|&1\\ 0&0&~~0|&0\\0&0&~~0|&0\end{pmatrix}\\\\x+y-z=1\)

thus there is a plane

b. If a system of solution has more than one solution than it can have infinite amount of solutions so there can be any amount of solutions except 2.

c. The solution set of a consistent rank 2 linear system with four unknowns will be a plane in the four dimensional space.

d. Following is an example which proves it wrong  i-e no solution

\(\\\\\\\\x_1=1\\x_2+x_3=2\\x_2+x_3+x_4=0\\\)

e.as shown from following example  it has infinite solutions

\(\\\\\\\\x_1+x_2=1\\2x_1+2x_2=2\\x_3=1\\x_4=1\\\)

so a system can have  more than one solution

Answer:

Correct answer is D 146°

Step-by-step explanation:

x= 90° +56° ( Exterior angle of a triangle is equal to the two opposite interior angles)

x= 146°

Answer:

19.99%

Step-by-step explanation:

hope this helps

here you go

Answer:The first question requires the calculation of the 6.5% of $400, which is equal to $26.

The second question requires the calculation of 12.5% of $100, which is equal to $12.50.

For the third question, 130 is 20% of 650.

For the fourth question, $5.40 is 120% of $4.50.

For the fifth question, $8.40 is 30% of $28.

For the sixth question, 56% of 39 is $21.84

For the seventh question, $495 is 55% of $900.

For the last question, 144 is 60% of 240.

Step-by-step explanation:

Answer:

Step-by-step explanation:

26

12.5

20%

120%

30%

12.23

900

60%

The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.

The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.

In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:

4(-8 + 5) = (4 * -8) + (4 * 5)

This simplifies to:

4(-8 + 5) = -32 + 20

Finally, we can perform the addition:

-32 + 20 = -12

Therefore, the equation demonstrates the application of the Distributive Property.

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Answer:

i think its

x^2 + (y + 2)^2 = 21.

Step-by-step explanation:

Answer:

A.Reject Upper H0 because the​ P-value is less than or equal to to α.

B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.

Step-by-step explanation:

Given the claim :

Less than 51% will erase their personal information :

We take this as the null ;

H0 < 0.51 ;

Alternative hypothesis which is the opposite of the Null

H1 > 0.51

P value = 0.0148

α = 0.05

At α = 0.05 ; if p value is less than α ; reject the the Null

If p value is greater than Null ; then we fail to reject the Null

Pvalue < α

The P value is less than 0.05; then we reject the Null

B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%

Answer:

497/1000

Step-by-step explanation:

sorry but that's as simplified as it gets

Answer:

B

Step-by-step explanation:

Make 4 \(\frac{2}{5}\) an improper fraction. To do that multiply the denominator, 5 by 4, which gets you 20. Then add the numerator, 2, to get 22. put the original denominator back into the fraction, and you get \(\frac{22}{5}\) . If you divide that by \(\frac{2}{5}\) , you would get 11 because you divide the numerator and the denominators cancel each other out since they are both the same number, and 22 ÷ 2 = 11.

x² + x² = 4

2x² = 4

x² = 2

x=√2

hope it helps

Answer:

1221 - 321 = 900

Step-by-step explanation:

The equation that represent the number of penguins is (6 ×  4) + (3 × 6) + (3 × 6) = p.

A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.

Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:

Hence,

(6 ×  4) + (3 × 6) + (3 × 6) = p

where

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Answer:

The area is changing at 2 m²/d.

Step-by-step explanation:

The area of a rectangle is given by:

\( A = l*w \)

Where:

l is the length

w is the width

We have that the length is increasing at a rate:

\( \frac{dl}{dt} = 1 \frac{m}{d} \)

And the width is decreasing at a rate:

\(\frac{dw}{dt} = -2 \frac{m}{d}\)

The change in the rectangle's area is the following:  

\( \frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt} \)

When the length is 8 meters and the width is 18 meters we have:

\( \frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d}) \)

\( \frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d} \)

\( \frac{dA}{dt} = 2 \frac{m^{2}}{d} \)

Therefore, the area is changing at 2 m² per day.

I hope it helps you!                  

Sully's hose fills the pool in 9 hours while his neighbor's hose fills the pool in 12 hours.

Let's give the length of time it takes Sully's hose to fill the pool = X hr

And the length of time it takes his neighbor's hose = Y hr

Since, Sully's hose requires 3 hours longer to run than his neighbor's hose,

Hence X = Y - 3.

Since they fill the pool jointly in 6 hours,

Therefore,

1/X + 1/Y = 1/6.

By substitution method

⇒ 1/X + 1/(X+3) = 1/6

Divide both sides by 6X(X+3), we obtain:

6(X+3) + 6X = X(X+3)

Adding and subtracting:

12X² + 18 = X + 3X.

Changing the order:

X² - 9X - 18 = 0.

The quadratic formula yields:

X = 9 + √(225)/2 or 9 - √(225)/2.

To put it simply:

X = 9 or X = -0.5.

The undesirable outcome can be discarded,

Hence, X = 9 hr

We can now solve for Y using the first equation:

Y = X+3 = 12 hours.

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Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

Answer:

in a relationship that maps elements from one set (the inputs) into elements from another set (the outputs), the usual notation for the ordered pairs is:

(x, y), where x is the input and y is the output.

In this case, the point where the arrow starts is the input, and where the arrow ends is the output.

a)

The ordered pairs are:

(28, 93)

(17, 126)

(52, 187)

(34, 108)

(34, 187)

b) The domain is the set of the inputs, in this case the domain is the set where all the arrows start, then the domain is:

{17, 28, 34, 52}

And the range is the set of the outputs, in this case the range is:

{93, 108, 126, 187}

c) A function is a relationship where the elements from the domain, the inputs, can be mapped into only one element from the range.

In this case, we can see that the input {34} is being mapped into two different outputs, then this is not a function.

d) We can remove one of the two ordered pairs where the input is {34},

So for example, we could remove:

(34, 108)

And then the relation would be a function.

the number of people that enters in a 50ft by 50ft square is 1,111 people.

We know that you can fit 16 people in a 6ft by 6ft square. The area of that square is:

A = 6ft*6ft = 36 ft^2

Then the density of people that enter per square foot is:

N = (16 people)/(36 ft^2) = 0.44 people per ft^2

Now, in a square of 50ft by 50ft the area is:

A= 50ft*50ft = 2,500 ft^2

The number of people that enters in that square is the area times the density, which gives:

(0.44 people per ft^2)*(2,500 ft^2) = 1,111.11 people.

Rounding to the next whole number, the number of people that enters in a 50ft by 50ft square is 1,111 people.

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The total surface area of the pyramid from the net is 286 square cm

To calculate the total surface area of a pyramid from its net, you need to add up the areas of all its faces.

The net of a pyramid is a two-dimensional representation of the pyramid, where the edges of the net represent the edges of the pyramid.

In this case, the nets are

Using the above as a guide, we have the following:

Area = 10 * 7 + 2 * (1/2 * 10 * 12.5 + 1/2 * 7 * 13)

Evaluate

Area = 286

Hence, the surface area is 286 square cm

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Answer:

Yes

Step-by-step explanation:

yes, yes it does

The percent of the front page taken up by the prom story is 20%

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

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Answer:

c2 = a2 + b2 ('c' = hypotenuse of the right triangle whereas 'a' and 'b' are the other two legs.).

Step-by-step explanation:

Image result for Pythagorean Theorem in Cones. Find h. 13 cm 8cm First we must set up our equation using the Pythagorean Theorem. a2 + b2 = c2 42 + b2 = 132 16 + b2 = 169 b2 = 153 b= [?] Hint: Enter the number that belongs under the radical.

Pythagoras theorem equation helps you to solve right-angled triangle problems, using the Pythagoras equation:

The value of b for the given data is b =13 cm.

The Pythagorean theorem is a fundamental concept in mathematics that relates to the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

c²= a² + b² ('c' = hypotenuse of the right triangle whereas 'a' and 'b' are the other two legs.).

Image result for Pythagorean Theorem in Cones. Find h. 13 cm 8cm First we must set up our equation using the Pythagorean Theorem.

a² + b² = c²

4² + b² = 13²

16 + b² = 169

b² = 153

b = [12.36] or 12 cm

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Answer: 16j^3+2

Step-by-step explanation:

Answer:

y=3/2x+19/2

Step-by-step explanation:

Step-by-step explanation:

Solve for y = 19/2+3x/2

y=3/2x+19/2

Slope3/2

Y-intercep 19/2

x|y

1 |11

3|14

Graph the line using slope and the y-intercep, or the points y-19/2

Answer:

100

Step-by-step explanation:

The volume of box will be 100 cubic units.

What is Mathematical function ?

Mathematical function is the representation of relation between independent variables and dependent variables.

The volume of the box is given by the function :

\(V(x)&=5x^{2}+5x\)

and the volume of box at x = 4 units is calculated :

\(\begin{aligned}V(x)&=5x^{2}+5x\\V(x=4)&=5(4)^{2}+5\cdot 4\\&=100\text{ cubic\:units}\end{aligned}\)

Therefore, the volume of the cube is 100 cubic units.

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Answer: 54.04yd

Step-by-step explanation:

C=2πr

d=2r

C=πd=π·17.2≈54.03539yd

Explanation:

To find the transformation

We will first have to write out the coordinates of ABC

The coordinates of ABC are:

Next, we will write the equation of the image

From the given coordinates of the image and pre-image

When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.

To rotate the figure 90 degrees clockwise about a point, every point(x,y) will rotate to (y, -x)

Also, there was a

Answer:

130

Step-by-step explanation:

A straight like measures 180°

25+25=50

180-50=130

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Answer:

\(130^{\circ}\)

Step-by-step explanation:

A straight line can denote half a circle, each side having \(180^{\circ}\). Therefore, the sum of these three angles should be \(180^{\circ}\). Since the first two angles both measure \(25^{\circ}\), we can set up the following equation and solve:

\(25+25+m\angle 3=180,\\m\angle 3= \fbox{$130^{\circ}$}\).