Evaluate the arithmetic series described:
2 + (-2) + (-6) + (-10)..., S10

Answer:

B. (5/6)^2

Step-by-step explanation:

A. 2^3

= 2 × 2 × 2

= 8

The base is 2

Therefore, the expression is greater than the base

B. (5/6)^2

= 5/6 × 5/6

= 5*5 / 6*6

= 25/36

Base = 5/6 = 0.833

Expression =25/36 = 0.694

Therefore, the expression is less than the base

C. 3^1

= 3

The base is 3

Therefore, the expression is equal to the base

D. 4^4

= 4 * 4 * 4 * 4

= 256

The base is 4

Therefore, the expression is greater than the base

The correct answer is B. (5/6)^2

Answer:

B

Step-by-step explanation:

the tree goes up, meaning it is positive 3. the others represent things being below or decreasing, meaning they are negative.

Answer: [tex]84\ mm^2[/tex]

Step-by-step explanation:

Given

The long side of a triangle is 27 mm

The length of the base is 14 mm

height of the triangle is 12 mm

The area of a triangle is given by

[tex]\Rightarrow \dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

Insert the values

[tex]\Rightarrow \dfrac{1}{2}\times 14\times 12\\\\\Rightarrow 84\ mm^2[/tex]

Thus, the area of the triangle is [tex]84\ mm^2[/tex]

Answer:

that looks good

Step-by-step explanation:

Answer:

4 in.

Step-by-step explanation:

The surface area of a cube is the area of one of the faces times 6 for each face.

96/6=16

16 is the area of one face of the cube.

The side of the face is the square root of the area of the face.

√16=4

Answer:

4in

Step-by-step explanation:

I had the same problem but revirsed

If function f(x)= x² then g(x) is  -x² - 3 , option A is correct.

A relation is a function if it has only One y-value for each x-value.

The reflection in the x-axis changes the sign of the y-coordinate. So, the reflection of f(x) = x² in the x-axis is g(x) = -x².

Secondly, the downward shift of 3 units means subtracting 3 from the y-coordinate.

So, the transformation applied to f(x) to get g(x) is reflection in the x-axis followed by a downward shift of 3 units.

g(x) = -x² - 3 is the result of applying a reflection in the x-axis followed by a downward shift of 3 units to the function f(x) = x².

Hence, if function f(x)= x² then g(x) is  -x² - 3 , option A is correct.

To learn more on Functions click:

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Answer:

The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.

Step-by-step explanation:

Equation to find the height: [tex]\frac{2x*x}{2} = 169[/tex] ⇒ [tex]x^2=169[/tex] ⇒ [tex]x=13[/tex] meters.

Answer:

D $175

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

if 5 white cups and 8 green 10 white cups and 16 green

5 × 2 = 10

8 × 2 = 16

Answer:

16

Step-by-step explanation:

Because 5*2=10 so 8*2=16.

Have a great day. And be you.

Answer:

i didnt pray for these baguettes i prayed for better days

Step-by-step explanation:

you know?

Answer:

36

Step-by-step explanation:

You coun the base there has 10 square.

Then the two side is 13 and 13

So add up three of it so the answer is 36

Answer:

Grace is right

Step-by-step explanation:

91 x 0.30 = 27.3

91 plus 27.3 equals to 118.3

Answer:

Curtis - The original price is $130.

Step-by-step explanation:

30% off means Rey paid 70% of the original price.

0.70x=91

x=91/0.70

x=130

Answer:

A turtle.

Step-by-step explanation:

Answer:

C = 65.94 ft and A = 346.185 ft^2

Step-by-step explanation:

r = d/2 = 21/2 = 10.5

let [tex]\pi[/tex] = 3.14

C = 2[tex]\pi[/tex]r

C = 2(3.14)(10.5) = 65.94 ft

A = [tex]\pi[/tex]r^2

A = (3.14)(10.5)^2 = 346.185 ft^2

The solution is: the circumference of the circle is C = 65.94 ft and, the area of the circle A = 346.185 ft^2.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

given that,

diameter of the circle = 21

so, we have,

r = d/2

 = 21/2

 = 10.5

let  

π= 3.14

we know that,

the circumference of the circle is:

C = 2rπ

C = 2(3.14)(10.5)

   = 65.94 ft

the area of the circle is:

A =π r^2

A = (3.14)(10.5)^2

  = 346.185 ft^2

Hence, The solution is: the circumference of the circle is C = 65.94 ft and, the area of the circle A = 346.185 ft^2.

Learn more about circle here:

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Answer:

78°

Step-by-step explanation:

The two angles have to add up to 180°

180° - 102° = 78°

Angle = 78°

If my answer is incorrect, pls correct me!

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

-Chetan K

============================================================

Explanation:

In your studies so far, every number you encounter is a real number. This changes when your teacher will introduce complex and imaginary numbers later on down the road. So 3.5 is a real number. A real number is essentially any number we can express as a decimal value (whether the decimal terminates, or goes on forever).

The number 3.5 is also rational because we can express it as a ratio of two integers, aka a fraction of two integers. Specifically, we can say 3.5 = 35/10 = 7/2.

The number 3.5 being rational would automatically rule out "irrational", since "irrational" means "not rational". The number 3.5 isn't an integer either. It would need to be either a positive whole number, negative whole number, or zero for it to be an integer. We rule out "natural number" for similar reasoning that we ruled out "integer".

Answer:

Step-by-step explanation:

18/12 = 24/(x-2) Put the similar sides in the propertions.

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

[tex]n(U)=27[/tex]

[tex]n(A)=7[/tex]

[tex]n(B)=18[/tex]

[tex]n(A'\cap B')=7[/tex]

We know that,

[tex]n(A\cup B)=n(U)-n(A'\cap B')[/tex]

[tex]n(A\cup B)=27-7[/tex]

[tex]n(A\cup B)=20[/tex]

Now,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=7+18-n(A\cap B)[/tex]

[tex]n(A\cap B)=7+18-20[/tex]

[tex]n(A\cap B)=25-20[/tex]

[tex]n(A\cap B)=5[/tex]

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

[tex]\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}[/tex]

[tex]\text{Probability}=\dfrac{5}{27}[/tex]

Therefore, the required probability is [tex]\dfrac{5}{27}[/tex].

5-3 < X < 3+5

Step-by-step explanation:

its a its just a a a a a a a

C

Step-by-step explanation:

In my opinion by looking at the photograph I think its 6 in my opinion sorry if I'm wrong

Answer:

3; 6; 6; 5

Step-by-step explanation:

15 / 5 = 3

18 / 3 = 6

12 / 2 = 6

25 / 5 = 5

So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, obtuse, acute and right angled triangles.

Two triangles are said to be congruent if all the corresponding sides and angles of both triangles are equal. Congruent triangles have the same size and shape.

Given that AB || DC and AD || BC, therefore:

∠DCA = ∠BAC (alternate angles are equal)

∠DAC = ∠BCA (alternate angles are equal)

AC ≈ AC

Therefore from triangle ABC and triangle CDA, since ∠DCA = ∠BAC, ∠DAC = ∠BCA and AC ≈ AC, hence both triangles are congruent by Ange-side-angle congruence theorem.

Therefore AB = CD

Answer:

the answer is AB is equal to CD

Step-by-step explanation:

Answer:

14400 boxes

Step-by-step explanation:

After looking at this question you would first see that it is looking for how many cuboids can fit into the container. That would mean that the final equation should be the volume of container divided by the volume of the cuboid.

First, we can find the volume of the container. Keep in mind that the volume of a rectangular prism is V=Bh (which means area of the base times the height)

For the base we would do (600)(200) which is 120000

Next, the height is 300, so we would times that by 120000 (which is 36000000)

Moving on to the cuboid!

We would do the same process, but with smaller units.

(same equation) V=Bh

B= (50)(20)

=100

(100)(25)=2500

Lastly, like mentioned in the beginning, take the volume of the container and divide by the volume of the cuboid.

36000000/2500=14400

Therefore, 14400 boxes can fit into this container!

Hope this helps! :)

Answer:

Step-by-step explanation:

so they made the boxes fit perfectly into the container.. as they are.

notice that each of the dimensions of the box fit perfectly into the dimensions of the container.

length container of 600 / length of box 50=12

width of container of  200 / width of box 20 = 10

height of container of 300 / heigth of box 25 = 12

now just multiply those 3 answers

12 * 10 * 12 = 1440 boxes  :)

BTW ( by the way )   I can see by what you have erased you did do the  

300 ÷25 =12 correctly ,  (300/25), and the  

200÷20 = 10  correctly, (200/20)  but the

600÷50 = 20 was not correct.    You can check this in your head really quickly by just multiplying  50*20 = 1000   ,  now you know that's not right, so then do 50*10=500  , that's close, hun,  now just add 2 more 50s for a total of 600  and 12 , 50s   :)  see??

Answer:

5

Step-by-step explanation:

Answer:

376*74=

Step-by-step explanation:

[tex]376 \times 74 = 27824 \\[/tex]