What is the solution to the system of equations?
(x + 4y – z = 5
3x – 2y + 2z = 7
2x – z= -2

square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.

Answer:

1. C

2. 55°

Step-by-step explanation:

So, we know that for an angle with its vertex inscribed on the circle, the arc it opens up to is twice the angle's measure, so we can get m∠ADE = 1/2(measure of arc AE), which is C.

Now we can input the measure of arc AE into the equation. So, m∠ADE = 1/2 * 110, and we can find out that m∠ADE = 55°.

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I hope this helps, let me know if you have any questions.

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▹ Answer

24

▹ Step-by-Step Explanation

2³ + 4²

= 2 * 2 * 2 → 8

= 4 * 4 → 16

8 + 16 = 24

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

24

Step-by-step explanation:

2³ + 4²

Solve for exponents first.

2³ = 2 × 2 × 2 = 8

4² = 4 × 4 = 16

8 + 16

Addition.

= 24

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]

Answer:

No , It has two endpoints.

Explanation: A line segment has two end points with a definite length.

A straight line has neither starting nor end point and is of infinite length.

Answer:

V = 7*4*1

V = 1*4*7

V = 4*7*1

Step-by-step explanation:

The volume is found by

V = l*w*h

V = 7*4*1

We can multiply in any order

Answer:

Choices 2, 5, 6

Step-by-step explanation:

Rectangular Prism Volume: whl (width ✖️height✖️length).

4✖️7✖️1

Anything that is same with that is the answer, therefore, choices 2, 5, and 6 are correct.

I hope this helps you!

Answer:

[tex]-6 <x <-3[/tex]

Step-by-step explanation:

[tex]-53 <9x+1 <-26[/tex]

Add -1 to all parts.

[tex]-53-1 <9x+1-1 <-26-1[/tex]

[tex]-54 <9x <-27[/tex]

Divide all parts by 9.

[tex]-54/9 <(9x)/9 <-27/9[/tex]

[tex]-6 <x <-3[/tex]

Answer:

False

Step-by-step explanation:

Answer:

1 hour 12 minutes or 1.2 hours

Step-by-step explanation:

You add fractions to get this.

1 room/3 hours + 1 room / 2 hours = 1 room / x

0.33333333+0.5 = 1 room / x

0.83333333 = 1 / x    Multiply both sides by x

0.83333333x  = 1      Divide by 0.8333333

x = 1/0.833333

x = 1.2 hours or

x = 1 hour and 12 minutes  

Answer:

1/6

Step-by-step explanation:

Spinner = 1 out of 3

Marbles = 2 out of 4

1/3x2/4=2/12=1/6

Answer:

y = 3/8x - 9 + 4/5

Step-by-step explanation:

assuming y = 3/4 (1/2x-12)+4/5

multiply 3/4 and (1/2x - 12)

y = 3/8x - 9 + 4/5

Answer:

Step-by-step explanation:

The LCD here is 120.  Multiplying both terms by 120 and then dividing the result by 120 yields

90(1/2x - 12) + 96           45x - 1080 + 96               45x - 984

-------------------------- = -------------------------------  =  ----------------------

         120                                 120                                 120

Answer:

C.Quadrant III

EXPLANATION:

IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE

Answer:

Approximately 16 feet

Step-by-step explanation:

If the playground has a square shape, then its area equals the square of the playground's side (S):

[tex]S^2=263 \,\,ft^2\\S = \sqrt{263} \,\,ft\\S\approx 16.217 \,\,ft \\S\approx 16\,\,ft[/tex]

Answer:

16 feet

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know that the area of the playground is 263 ft^2. Therefore,

A=263 ft^2

[tex]263 ft^2= s^2[/tex]

We want to find out what s, the side length, is. s is being squared. The inverse of a square is a square root. Therefore, we must take the square root of both sides.

[tex]\sqrt{263 ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{263ft^2}=s[/tex]

[tex]16.2172747 ft=s[/tex]

Round to the nearest foot. The 2 in the tenth place tells us to leave 16 as is.

[tex]16 ft=s[/tex]

The approximate length of each side of the playground is 16 feet.

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

After adding all the sides' together, you get 6,000 square mm.

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

Answer:

C

Step-by-step explanation:

Took the test

The one way to simplify the algebraic summation expression is; [[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

We want to simplify the algebraic summation;

[∑⁴³_(n = 1)] (3 + 9n)

Now, due to the addition sign, we can simplify this as;

[[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

The only option that corresponds to our answer is Option A and so is correct.

Read more about Algebra Summation at; https://brainly.com/question/542712

#SPJ2

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

Answer:

line of slope 1 move up 7, so that there is a y-intercept of 7

Step-by-step explanation:

Answer:

There should be a y intercept of seven. :)

Answer: 62/5

Step-by-step explanation:

You are given the following functions:

F(X) = x-2/5

g(X) = x-5

First find the inverse of the two functions.

To find inverse, first make f(x) and g(x) equal to y, interchange x and y and make y the subject of formula

F(x) = x - 2/5

Y = x - 2/5

Interchange y and x

X = y - 2/5

Make y the subject of formula

Y = x + 2/5

Therefore, f^-1(x) = x + 2/5 ..... (1)

Also,

g(x) = x - 5

Y = x - 5

X = y - 5

Make y the subject of formula

Y = x + 5

g^-1(x) = x + 5

To find g inverse of 7, substitute 7 for x in the above formula

g^-1(7) = 7 + 5 = 12

f inverse g inverse = 7 will be achieved by substitute 12 for x in the equation (1)

F^-1(12) = 12 + 2/5 = 62/5

Answer:

1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }

3. Mean ➡ 13.67 ( About )

4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.

5. Mean ➡ 7.5

Step-by-step explanation:

I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.

1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.

Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.

3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.

Step-by-step explanation:

arithmetic progression

even numbers between 1001 and 10000

1002,1004,.......9998

Tn=a+(n-1)d

Tn = 9998 last term in the progression of even numbers

a = 1002 first term

d = 2 distance

9998=1002+(n-1)(2)

8996=2n-2

8998=2n

n = 4499 the number of terms

sum = n/2 (a+Tn) = 4499/2(1002+9998)

= (4499/2)(11000) = 24744500

Logic:

notice what happens when you add the first and last terms

1002+9998=11000

1004+9996=11000

.......

Answer:

7.06

Step-by-step explanation:

Write a proportion using similar triangles.

DF / DG = DE / GE

x / 8 = 15 / 17

x = 7.06

Answer:

65/8 units ³

Step-by-step explanation:

V = l x w x h

l x w = 16 1/4 units² = 65/4 units²

h = 1/2 units

V = 65/4units² x 1/2units = 65/8 units ³

Answer:

f(x)=2x-6

Step-by-step explanation:

Because the slope is 2 and the y-intercept is -6.

[tex]x[/tex]Answer:

The answer would be [tex]f(x)=2x-6[/tex]

Step-by-step explanation:

    The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.

    If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].

    Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].  

    We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].

   To check you could just graph this and you would get:

P.S. The f(x) turned into a y in the process:)

Answer: 311 pounds

Step-by-step explanation:

To find the average, add up all of the values and divide by the amount of values.

First add up all of the values.

322+290+321+326+330+315+311+292+290 = 2797

Now count how many values there are and divide your previous sum by it.

2797/9 = 310.78

Because you need to have 3 sig figs, round to the nearest one.

310.78 rounds up to 311.

answer-311

Step-by-step explanation:

322+290+321+326+330+315+311+292+290=2797

Count the number of values and divide by 2797

2797 divided by 9 =310.77777777777777

Nearest one-311

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Answer:

Second one is the corect probability for the problem

Answer:

D. 81

Step-by-step explanation:

You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.

Answer:

D. 81

Step-by-step explanation:

To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.

Answer:

  6554

Step-by-step explanation:

The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...

  Sn = a1·(r^n -1)/(r -1)

For your sequence, the sum of 7 terms is ...

  S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554

The sum of changes after the 7th day is 6554.

Answer:

C

Step-by-step explanation:

took test

Answer:

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

[tex]Distance = a[/tex]

Step-by-step explanation:

Given

[tex]A = (0,0)[/tex]

[tex]B = (a,0)[/tex]

[tex]C = (a,b)[/tex]

[tex]D = (0,b)[/tex]

Required

Determine the distance between A and B

The distance between points is calculated as thus;

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Considering points A and B

[tex]A(x_1,y_1) = (0,0)[/tex]

[tex]B(x_2,y_2) = (a,0)[/tex]

Substitute values for [tex]x_1, x_2, y_1[/tex] and [tex]y_2[/tex] in the above formula

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

The above expression represents the distance between A and B;

However, it can be solved further as thus

[tex]Distance = \sqrt{( -a)^2 + (0)^2}[/tex]

[tex]Distance = \sqrt{a^2 + 0}[/tex]

[tex]Distance = \sqrt{a^2}[/tex]

[tex]Distance = a[/tex]

Hence, the distance between A and B is a