What is the range of the following data set?


5, 6, 7, 3, 4, 5, 6, 8, 7



A) 2



B) 5



C) 3



D) 0

Answer:

$2000

Step-by-step explanation:

1,000 g would be = 1 Kg so it would be 25 Kg

And 25 X 80 = 2000

Answer:

$400

Step-by-step explanation:

25,000 grams is equal to 25 kg, so if 5 kg equals $80, the total 25 kg divided by 5 equals five. With this you multiply; 5 × 80 kg = 400. So $400 is the answer.

Answer:

Option B is the correct answer

Step-by-step explanation:

A line segment is a line drawn with two end points.

1.) Option A is a point

2.) Option B is a line segment

3.) Option C is a ray

4.) Option D is a line

Hope this helps!

Answer:

7.1

Step-by-step explanation:

Use the trig ratio tan to find b

4.5 x tan (23) = b = 7.14668887526

7.1

Answer:

b ≈ 1.9

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan23° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{b}{4.5}[/tex] ( multiply both sides by 4.5 )

4.5 × tan23° = b , then

b ≈ 1.9 ( to the nearest tenth )

Answer:

A circle centred at (-1,3) and radius 3.

Step-by-step explanation:

Answer:

 (a) 9:15

  (b) 6:9

Step-by-step explanation:

Total apples: 15

6 : green

9 are red

9:15

6:9

Answer:

(a) 3 : 5

(b) 2 : 3

Step-by-step explanation:

= 9 apples

= 9 : 15

for simplified form dividing numerator and denominator by 3

= 3 : 5

= 6 : 9

for simplified form dividing numerator and denominator by 3

= 2 : 3

Answer:

No, you have to consider that if 1 student in 14/15 cannot represent a percentage between .69 and .71, how could 2 students do the job? You have to have an integer number of students.

2/18 = 1/14 = 7.14%

2/29 = 6.89%

Still out of bounds

What about 3 students?

3/42 = 1/14 = 7.14%

3/43 = 6.97%

3/44 = 6.81%

So, it looks like 43 is the minimum number of students.

Answer:

1/3 x 1/3 x 1/3(volume of small cube) = 1/27

2/3 x 7/3 x 4/3(volume of figure shown) = 2 2/27

Now we divide to see how many cubes can fit.:

2 2/27(make improper fraction) divided by 1/27 = 56 small little cubes can fit.

Answer:

x=1/2

Step-by-step explanation:

See image below:)

Answer:

6 equal parts;  8 equal parts

Both those will go into 24.

Step-by-step explanation:  Each of six slices of the first pasta has the area 1%2F6 of the entire pan.

Each of eight slices of the second pasta has the area 1%2F8 of the original pan.

Nelda will cut each 1%2F6 in 4 equal pieces to get 1%2F24.

She also will cut each 1%2F8 in 3 equal pieces to get 1%2F24.

Answer:

x = 21

Step-by-step explanation:

x + 15 - 15 = 21

+ 15 and - 15 cancel out

So x = 21

Let's solve the longer way

x + 15 - 15 = 21

x + 15 = 21 + 15 .      (adding 15 to both sides)

x = 21                       (Subtracting 15 from both sides)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The answer that goes into the blank is 21

Step-by-step explanation:

15-15 is 0, so 21+15= 36-15=21

Answer:

Range: { 1,2,3,4}

Step-by-step explanation:

The range is the values that y can take

These are discrete points, so y is discrete values

Range: { 1,2,3,4}

Answer:

That's correct

Well done!!

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

Answer:

Step-by-step explanation:

z^2+9z+20

=z^2+(5+4)z+20

=z^2+5z+4z+20

=z(z+5)+4(z+5)

=(z+5)(z+4)

9514 1404 393

Answer:

  a) see attached

  b) 1/3

Step-by-step explanation:

Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)

Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:

  m = (rise)/(run) = 1/3 . . . slope of the line

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is [tex]\frac{3}{3.75}[/tex].

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is [tex]\frac{5}{6.25}[/tex].

If these polygons are similar, these proportions must be equal.

[tex]\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark[/tex]

Checking, we see that these proportions are equal, and therefore the polygons are similar.

The volume, of the cement used to make the sidewalk is 8 ft³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given that, James is using cement to make a new sidewalk and new steps,

He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.

Volume = length x width x height

Volume = 8 x 4 x 0.25 = 8 ft³

Hence, the volume, of the cement used to make the sidewalk is 8 ft³

Learn more about volumes, click;

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Answer:

152

Step-by-step explanation:

All segments in a triangle add to 180. 1

8+10+x=180

x=152

The length x using Pythagoras theorem is 15 unit.

According to the Pythagorean theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.

Given:

Hypotenuse = 18 unit

Perpendicular = 10 unit

using Pythagoras theorem

H² = P² + B²

18² = 10² + B²

324 = 100 + B²

324 - 100 = B²

B² = 224

B= 14.966 unit

B= 15 unit

Thus, the measure for x is 15 unit.

Learn more about Pythagoras theorem here:

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CP hens remianing = 5000

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

Given:

The system of equation is:

[tex]-2x+4y=16[/tex]

[tex]2x+2y=8[/tex]

To find:

The solution of the given system of equations.

Solution:

We have,

[tex]-2x+4y=16[/tex]              ...(i)

[tex]2x+2y=8[/tex]                ...(ii)

Add (i) and (ii) to eliminate the variable x.

[tex]6y=24[/tex]

[tex]y=\dfrac{24}{6}[/tex]

[tex]y=4[/tex]

Putting [tex]y=4[/tex] in (ii), we get

[tex]2x+2(4)=8[/tex]

[tex]2x+8=8[/tex]

[tex]2x=8-8[/tex]

[tex]2x=0[/tex]

Divide both sides by 2.

[tex]x=0[/tex]

Therefore, the solution of given system of equations is (0,4). Hence, the correct option is A.

Answer:

(0,4) or A

Step-by-step explanation:

Edge 2021

Step-by-step explanation:

The sum of two rational numbers will always be a rational number.

Answer:

13

Step-by-step explanation:

(3 - 2i)(3 + 2i)

FOIL

first  3*3 = 9

outer 3*2i = 6i

inner -2i*3 = -6i

last  -2i * 2i = -4i^2 = -4(-1) =4

Add together

9+6i-6i+4 = 13

Answer:

From least to greatest

C

B

A

Step-by-step explanation:

Function A is the only one with a positive y-intercept

so it's the greatest

Function B has a y-intercept of -1 as read of the graph

it is the middle one

Function C has a y-intercept of -9/4 as given in point (0, -9/4)

this is the least

-----------------

From least to greatest

C

B

A

Answer:

3n+2

Step-by-step explanation:

−n+(−4)−(−4n)+6

Combine like terms

−n−(−4n)+6+(−4)

A negative negative is like adding

−n+(4n)+6+(-4)

3n+2

Answer:

a) 5/6 probability that one of the five numbers is 3

b) the least possible sum of the five numbers will be 15

as the least will come from the lowest 5 numbers

is this an algebra class? if so it just

11.50x + 16y = 20.25

Answer:

0.1

Step-by-step explanation:

Answer:

√2 = 1.41

√5 = 2.23

SO IF YOU MULTIPLY SEE

3.1622776601683793319988935444327

Step-by-step explanation: