Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of
equations
4x - 2y - 5z = -51
4x - y - 2z = -36
4x - 2y + 4z = -24
a. (-6, 6, 3)
C (-6, 6, 62)
b. (-62, 62, 30)
d. (-62, 6, 62)

Answers

Answer 1

Answer:

A. ( -6, 6, 3)

Step-by-step explanation:

100% correct


Related Questions

^ Casey was able to map line segment UV onto line segment ST using a translation and a rotation.

WORTH 15 POINTS PLEASE HELP!!!

Casey concluded:

"I was able to map line segment UV onto line segment ST using a sequence of rigid transformations without a dilation, so the figures are congruent but they are not similar."

What error did casey make in her conclusion?

A. The correct conclusion is that the segments are congruent and similar.
B. The correct conclusion is that the segments are neither congruent, nor similar.
C. There is no error. This is a correct conclusion

Which one is it please?​​

Answers

Answer:

A. The correct conclusion is that the segments are congruent and similar.

Step-by-step explanation:

Congruent figures are also similar because when all sides are equal, they are in the same ratio too (i.e 1 : 1)

a dart board has 10 equally sized slices numbered from 1-10. some are grey and some are white. the slices numbered 1,2,3,4,5,6,8,9 and 10 are grey. the slice number 7 is white. a dart is tossed and lands on a slice at random. let X be the event that the dart lands on a grey slice, and let P(X) be the probability of x. let not X be the event that the dart lands on a slice that is not grey,and let P( not X) be the probability of not X.

Answers

Answer:

We have 10 sections, we can assume that the probability of hitting each of one of them is the same.

we have 9 grey slices and 1 white slice, then the probability of landing in a grey slice is equal to the number of grey slices divided by the total number of slices:

P(X) = 9/10 = 0.90

The probability of not landing in a grey slice is equal to the probability of landing in the white slice, this is:

P(not X) = 1/10 = 0.10

Also, when you have only two events, you can calculate this as:

P(not X) = 1 - P(X) = 1 - 0.90 = 0.10

Solve the inequality 2(4x + 1) < 3(2x - 3)

Answers

Answer:

x<-11/2

Step-by-step explanation

Try to isolate the variable by dividing it.

8x + 8 < 6x - 9
2x < -17
x < - 8,5

Which question is statistical?
What number of feet is equivalent to three miles?
How many miles did your family drive last week?
How many miles are between the library and the post off
How many miles does each member of the biking club ri

Answers

Answer:

How many miles does each member of the biking club ri de>

Step-by-step explanation:

This question is statistical, because 1) it provides a thing for you to study (how many miles does each member ride, as well as 2) provides (hopefully) enough respondents (the members of the biking club) that it will not skew the statistics.

~

Please help me I don’t understand

Answers

Answer:

I think it's a or d I think

A trapezoid was broken into a rectangle and two
triangles
The base of each triangle bis
The area of the rectangle is
The area of each triangle is
The area of the trapezoid is
LIT

Answers

Answer:

The base of each triangle B is: 2 ✓

The area of the rectangle is: 4 ✓

The area of each triangle is: 4 ✓

The area of the trapezoid is: 12 ✓

Step-by-step explanation:

Hope I helped, btw I'm following everyone who follows me! :)

Represent the espression “A number, x, decreased by the sum of 2x and 5” algebraically.

Answers

It would be X-2x+5, hope this helps

Three solutions of the equation Ax + By = Cz - 14 are

(-3,- 3, 2), (4, 1, -13), and (6.-2, -9). Find A, B, and C.

Answers

c ccccccccc
for extra space

HELP PLEASE!
Which shows a correct way to determine the volume of the right rectangular prism?
4 cm
6 cm
13 cm
O 3+6 + 4 = 13 cm
2(3 + 6 + 4) = 26 cm
4(3) + 6 = 18 cm
3(6)(4) = 72 cm

Answers

Answer:

3(6)(4) = 72 cm

Step-by-step explanation:

The volume of a rectangular prism = Length * Width * Height

Substitute your values into the equation and solve for V

V = 3 * 6 * 4

V = 72 [tex]cm^{2}[/tex]

Answer:

d.72

Step-by-step explanation:

volume = area of base *height = 4*3  * 6

This is really confusing I couldn't find anything so If you know to do this please help or i will die (not literally)

Answers

Answer:

sry, didn't know how to answer #10

Step-by-step explanation:

3: 115°

4: 62°

5: ∠FED

6: 98°

7: 139°

8: 65°

9: 65°

10: unsure

11: 37

12: 16.97

13: 15.8

14: 71.063352017759

15: 13

A box is 12 in, high, 24 in. long, and 8 in. wide. What is the longest poster you could fit in
the box? Use pencil and paper. Explain why you can only fit one maximum-length poster in the box
but you can fit multiple 26-in, posters in the same box.

Answers

The maximum length of the poster that can be put in the box is [tex]28in[/tex].

Cuboid

In a cuboid, the longest dimension is the diagonal of the cuboid.

   Diagonal = [tex]\sqrt{(length)^{2}+(width)^{2}+(height)^{2} }[/tex]

How to calculate the diagonal of a cuboid?

Let,    [tex]l=[/tex] the length of the cuboid

         [tex]b=[/tex] the width of the cuboid

         [tex]h=[/tex] the height of the cuboid

And   [tex]d=[/tex] the diagonal of the cuboid

So, as per the formulae [tex]d=\sqrt{l^{2}+b^{2}+h^{2} }[/tex]

Assigning the given values,

[tex]l=24[/tex]

[tex]b=8[/tex]

[tex]h=12[/tex]

Now, calculate [tex]d[/tex] using the formulae,

[tex]d=\sqrt{24^{2}+8^{2}+12^{2}}=\sqrt{576+64+144}=\sqrt{784}=28[/tex]

Hence, the maximum length of the poster that can be put in the box is [tex]28in[/tex].

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The longest poster that fits in the box is 28 inches, matching the diagonal length. Multiple 26-inch posters fit due to the box's length of 24 inches.

To determine the longest poster that can fit inside the box, we need to find the length of the diagonal of the box, as this represents the maximum length a poster can have and still fit within the box.

Given dimensions of the box:

- Height (h) = 12 inches

- Length (l) = 24 inches

- Width (w) = 8 inches

We will use the formula for the diagonal ( d ) of a rectangular box:

[tex]\[ d = \sqrt{h^2 + l^2 + w^2} \][/tex]

Substitute the given values:

[tex]\[ d = \sqrt{12^2 + 24^2 + 8^2} \][/tex]

[tex]\[ d = \sqrt{144 + 576 + 64} \][/tex]

[tex]\[ d = \sqrt{784} \][/tex]

[tex]\[ d = 28 \text{ inches} \][/tex]

Therefore, the diagonal ( d ) of the box is 28 inches.

Now, the longest poster that can fit inside the box cannot exceed this diagonal length of 28 inches. Hence, the longest poster that can fit in the box is 28 inches in length.

Regarding why you can fit multiple 26-inch posters but only one 28-inch poster:

- The box is 24 inches long, so a 26-inch poster can fit along the length of the box without exceeding it.

- However, a 28-inch poster matches the diagonal length exactly, meaning it stretches from one corner of the box to the opposite corner, utilizing the maximum space available inside the box. Trying to fit more than one 28-inch poster would require overlapping or exceeding the box's dimensions, which is not possible.

In conclusion:

- The longest poster that can fit in the box is **28 inches** in length, corresponding to the length of the diagonal of the box.

- You can fit multiple 26-inch posters in the box because each poster fits within the length of the box without overlapping or exceeding the dimensions.

Solve the following equation algebraically
x^2=192

Answers

Answer:

13.8564

Step-by-step explanation:

The square root of 192 is about 13.8564 meaning that 13.8564^2≈192

Answer:

B -13.86, 13.86

Step-by-step explanation:

Edge

20 POINTS!!!!

What is the area of the following trapezoid in square feet?
135 ft^2
165 ft^2
82.5 ft^2
64.9 ft^2

Answers

Answer:

135 ft^2

Step-by-step explanation:

7yd = 7*3 feet = 21 feet

[tex]area \: of \: trapezoid \\ = \frac{1}{2} (15 + 21) \times 7.5 \\ = \frac{1}{2} \times 36 \times 7.5 \\ = 18 \times 7.5 \\ = 135 {feet}^{2} [/tex]

The answer to this question would be 82.5 because the formula for finding the area of a trapezoid is,
A=a+b /2 h,
Put the numbers in place,
A=15+7/2 7.5,
A=82.5

Evaluate the expression. 5^0*5^3

Answers

The answer is 0 because 5 to the 0=0 and 5 to the 3=125. And anything times 0 is 0

Answer:

125

Step-by-step explanation:

i had this question and it said it was right so..

Plot the image of point Q under the translation (x,y) (x+1,y+2).

Answers

Answer : Point “ Q “ should be on (-4,4) so go over 1 unit to the RIGHT & two units UP so your new points would be ( -3 , 6 ) hope this helps yw / btw .

Step-by-step explanation:

The image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

How to plot the image of point Q under the translation?

The translation is given as:

(x,y) -> (x+1,y+2)

The point Q is located at

(-4,4)

So, the image would be:

(x,y) -> (-4+1,4+2)

Evaluate

(x,y) -> (-3,6)

Hence, the image of point Q under the translation at (x,y) -> (x+1,y+2) is (-3,6)

Read more about translation at:

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If P = (6,5) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x – 4)2 + (y - 3)2 = [?]

Answers

Answer:

  (x – 4)^2 + (y – 3)^2 = 8

Step-by-step explanation:

The square of the diameter will be 4 times the square of the radius. The square of the diameter is the sum of squares of differences of coordinates of P and Q:

  d^2 = |PQ|^2 = (2 -6)^2 +(1 -5)^2 = 16 +16

  d^2 = 32

  4r^2 = 32 . . . . . substitute 4r^2 for d^2

  r^2 = 8 . . . . . . . divide by 4 to find r^2

The equation of a circle centered on (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The given equation tells us the center is (h, k) = (4, 3), so we need only fill in the value of r^2.

  (x -4)^2 +(y -3)^2 = 8

An astronomer knows the distances from herself to stars A and B as well as the distance between them.


The distances are 450, 400, and 90 light years (1.y.) respectively.


If the astronomer's telescope is currently pointed at star A. how many degrees must she rotate her


telescope to see star B?


Do not round during your calculations. Round your final answer to the nearest degree,


B


90


400 l.y.


Astronomer


450 l.y.

Answers

Answer:

see attachement

Step-by-step explanation:

Place the circles in order from the circle with the largest area to the circle with the smallest area.
a circle with a
diameter of
8 meters
a circle with a
radius of
7 meters
a circle with a
circumference
of 37.68 meters
a circle with a
diameter
of 16 meters

Answers

Answer:

a circle with a  diameter  of 16 meters  largest

a circle with a  circumference of 37.68 meters

a circle with a  radius of  7 meters

a circle with a  diameter of 8 meters

Step-by-step explanation:

a circle with a  diameter of 8 meters

The radius is 8/2 = 4

A = pi r^2 = 3.14 * 4^2 = 50.24 m^2

a circle with a  radius of  7 meters

A = pi r^2 = 3.14 * 7^2 = 153.86 m^2

a circle with a  circumference of 37.68 meters

C = 2*pi*r

37.68 = 6.28r  r =6

A = 3.14 (6)^2 =113.04

a circle with a  diameter  of 16 meters

r = d/2 = 8m

A = pi r^2 = 3.14 (8)^2 = 200.96 m^2

Answer:

a circle with a diameter of 16 meters

a circle with a radius of 7 meters

a circle with a circumference of 37.68 meters

a circle with a diameter of 8 meters

Step-by-step explanation:

a circle with a

diameter of

8 meters

A = pi × (8/2)² = 16pi

a circle with a

radius of

7 meters

A = pi × 7² = 49pi

a circle with a

circumference

of 37.68 meters

C = 2pi × r

37.68 = 2pi × r

r = 18.84/3.14 = 6

A = pi × 6² = 36pi

a circle with a

diameter

of 16 meters

A = pi × (16/2)² = 64pi

HELP PLEASE
Lee's living room is 7 yards wide and 7 yards long. He wants to install teal carpet that costs $2.00 per square yard. How much will it cost to buy enough carpet for the living room?​

Answers

Answer:

98.00 Dollars

Step-by-step explanation:

7 x 7=49 square yards

49 x 2.00 = 98.00

Answer:

First find the area

7 x 7 = 49

every yard is $2

49 x 2 = 98

$98

Step-by-step explanation:

Which choices are equivalent to the expression below? Check all that apply

Answers

Answer:

d

Step-by-step explanation:

What is the common ratio of the geometric sequence below?

625, 125, 25, 5, 1, ...

Answers

The common ratio of the geometric sequence 625, 125, 25, 5, 1, ... is 0.2, determined by dividing any term by the preceding term.

The common ratio of a geometric sequence is found by dividing any term by the previous term. In the given sequence 625, 125, 25, 5, 1, ..., to find the common ratio, we can divide the second term (125) by the first term (625), which gives us

[tex]= \frac{125}{625} \\=\frac{1}{5}[/tex].

This ratio is consistent throughout the sequence as each subsequent term is  rac{1}{5} of the previous term. Hence, the common ratio for this geometric sequence is 1/5 or 0.2.

A kangaroo hop 3520 yards to the lake with her baby in her pouch shop the remaining 5280 hours without her baby in her pouch how many miles did the kangaroo hop to the lake

Answers

Answer:

The kangaroo hopped a total of 5 miles to the lake.

Explanation:

To convert yards to miles, we can use the conversion factor that 1 mile is equal to 1760 yards.

So, to find out how many miles the kangaroo hopped to the lake, we first sum the distance with and without the baby in her pouch:

Total distance = Distance with baby + Distance without baby

Total distance = 3520 yards + 5280 yards

Total distance = 8800 yards

Now, we convert this total distance to miles:

Total distance in miles = Total distance in yards / 1760 yards/mile

Total distance in miles = 8800 yards / 1760 yards/mile

Total distance in miles = 5 miles

Therefore, the kangaroo hopped a total of 5 miles to the lake.

What are the domain and range of f(x)=(1/6)x+2

Answers

Answer:

That should be right

Step-by-step explanation:

Final answer:

The domain of f(x) = (1/6)x + 2 is all real numbers, and the range is also all real numbers.

Explanation:

The given function is f(x) = (1/6)x + 2.

The domain of a function is the set of all possible input values. In this case, since there are no restrictions on x, the domain is all real numbers.

The range of a function is the set of all possible output values. The function is a linear function with a positive slope, which means as x increases, f(x) also increases. Therefore, the range is also all real numbers.

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Can someone please help me, will mark as brainliest... Solve questions 6-10 correctly...

Answers

Answer:

6- 9in

7- B

8- D

9-C

10-C

Step-by-step explanation:

PLEASE HELP I DONT UNDERSTAND I WILL MARK BRAINLIEST 5STARS AND HEART​

Answers

i tried answering i hope this helps!

Answer:

TestTest

Test

Test

Test

Test

Test

Test

Test

Test

Test

Test

Test

Step-by-step explanation:

Test

Test

Test

Test

Test

Test

The key to solving a two-step equation is
isolating the variable on one side of the
equation. In which of the following equations is
the variable isolated?
A.x = 9/2 + 4
B.2x=8
C.3x = 8 + 5
D.X = 5x - 4

Answers

A because x is by itself where as the other ones, x is not by itself

The equations is the variable isolated

What is Variable?

A variable is an alphabet or phrase that stands in for an unknowable quantity, value, or number. Particularly in the case of algebraic expressions or algebra, the variables are utilised.

Given:

We know when we find the value of variable we need to isolate the variable.

We have given some equations, the isolated variable means only the variable on one side of the equal.

So, among the Equation only x = 9/2 + 4 has isolated variable x.

The other parts have some number or other quantities along with variable.

Learn more about Variable here:

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The volume of a cone is 763.02. the radius and height of the cone are equal. What is the radius of the cone?

Answers

Answer:

The radius of the cone is 9cm

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

The volume of a cone is expressed as

V=1/3(πr²h)

We were told that the radius r and the height h are equal

I.e r=h

Substituting h=r in the formula we have

V= 1/3(πr²*r)

V =1/3(πr³)

To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)

763.02= 1/3(3.142r³)

763.02= (3.142r³)/3

763.02*3=3.142r³

2289.06=3.142r³

r³=2289.06/3.142

r³= 728.54

r= ³√728.54

r= 8.99cm

≈r= 9cm

evaluate the expression for s=9
72/s

Answers

Answer:

8

Step-by-step explanation:

72/s

Let s=9

72/9 = 8

A cheetah can run 56 miles per hour. At that rate, a cheetah can run 27 miles in 15 minutes.
True
False

Answers

Answer:

false, they can run 14 miles in 15 minutes

Step-by-step explanation:

56 divide by 4 = 14

60 divided by 15 = 4

A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer to the nearest whole number.

___cubic inches

Answers

Answer:

your fricked I don't even know this lolll

Answer:

927 Cubic inches

Step-by-step explanation:

Area of Octagon, using the formula for finding the area of regular polygons (A = 1/2 x apothem x perimeter): A= 1/2 x 4.83 x 4(8) -> A = 77.28

Then using the Area of the base , you then multiply it with the height, and you get your volume: 77.28 x 12 = 927 cubic inches

Other Questions
On January 2, 2020, Concord Corporation began construction of a new citrus processing plant. The automated plant was finished and ready for use on September 30, 2021. Expenditures for the construction were as follows: January 2, 2020 $ 607000 September 1, 2020 1803600 December 31, 2020 1803600 March 31, 2021 1803600 September 30, 2021 1213000 Concord Corporation borrowed $3320000 on a construction loan at 10% interest on January 2, 2020. This loan was outstanding during the construction period. The company also had $11520000 in 7% bonds outstanding in 2020 and 2021. The interest capitalized for 2020 was: Because Mike is only accountable for the $20,000 he invested in his friend Matt's company, thetwo have created which of the following business types?ODual Proprietor StructureOLimited Liability PartnershipOPrivate CorporationOLimited Liability Company What are the coordinates for this point? Point D Which organisms release carbon dioxide during cellular respiration? Complete the steps to factor 2x^2 + 6x + 5x + 15 by grouping. What is there greatest common factor of Group 2 A kangaroo hop 3520 yards to the lake with her baby in her pouch shop the remaining 5280 hours without her baby in her pouch how many miles did the kangaroo hop to the lake Which of these claims is true of Venus? aVenus has two moons. bOn Venus, a day is longer than a year. cVenus is the fourth planet from the sun. dThe atmosphere of Venus is capable of supporting life. My glass shall not persuade me I am old, So long as youth and thou are of one date; But when in thee time's furrows I behold, Then look I death my days should expiate. For all that beauty that doth cover thee, Is but the seemly raiment of my heart, Which in thy breast doth live, as thine in me: How can I then be elder than thou art? O! therefore love, be of thyself so wary As I, not for myself, but for thee will; Bearing thy heart, which I will keep so chary As tender nurse her babe from faring ill. Presume not on thy heart when mine is slain, Thou gav'st me thine not to give back again. Sonnet 22, William Shakespeare Use the sonnet to answer the questions. Which pair of words shows a set of rhyming lines in the first quatrain? Which pair of end words shows a set of rhyming lines in the second quatrain? Which pair of end words identifies the rhyming couplet? What do cars, power plants and furnaces have in common?(brainpop) HELP PLEASE!Which shows a correct way to determine the volume of the right rectangular prism?4 cm6 cm13 cmO 3+6 + 4 = 13 cm2(3 + 6 + 4) = 26 cm4(3) + 6 = 18 cm3(6)(4) = 72 cm Neeeeeeeeeedd helppppp The length of a rectangle is 5m longer than the width. If the perimeter of the rectangle is 58 m, find its length and width Which choices are equivalent to the expression below? Check all that apply Ariana has 2/3 quart of milk. She uses 3/4 of it in a recipe. How much milk did Ariana use in her recipe? how much DNA is located in an egg cell BEFORE fertilization?a.) 100 percent (all of it)b.) 50 percent (half of the DNA) c.) none of it An object is moving forward and then gets knocked sideways, what is this force called? Which of the following forms a water solution that will conduct electricity?F. CaCl2G. CO2H. NO2J. SiF4 12. How did many Southern states work around the voting rights guaranteed in the FifteenthAmendment?A. Poll taxes prevented poor citizens from being able to vote.B. Grandfather clauses gave citizens the right to vote if their grandfathers had been able to votein elections prior to Reconstruction.C. Literacy tests were put into place requiring citizens to read difficult passages from legaldocuments in order to be able to vote.D. all of the above Help me please!!!!!! Which shows the graph of the solution set of 6x + 4y < 12? On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (3, 1). Everything below and to the left of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (3, 1). Everything above and to the right of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the right of the line is shaded. Steam Workshop Downloader