the oblique pyramid has a square base with an edge length of 5 cm. the height of the pyramid is 7 cm. an oblique pyramid has a square base with an edge length of 5 centimeters. the height of the pyramid is 7 centimeters. what is the volume of the pyramid? 11two-thirds cm3 43three-fourths cm3 58one-third cm3 87one-half cm3

Answer:

Follow the steps below!

Step-by-step explanation:

If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.

Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler  or other straight edge if straight lines are a challenge to draw.

Answer:

2x+y=-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc

a = 5a  ;  b =y   ; c = z

(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³

= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z

= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

Answer:

1.001e+17

Step-by-step explanation:

Answer:

so the answer will be 1

Step-by-step explanation:

An oil tanker can be emptied by the main pump in 5 hours.

An auxilary pump can empty the tanker in 14 hours.

If the main pump is started at 7pm, when should the auxilary pump be started

so that the tanker is emptied by 11pm?

:

Let t = no. of hrs to run the Aux pump

:

The main pump will run 4 hr (7 - 11 pm)

:

Let the completed job = 1; (an empty Tanker)

:

The shared work equation

4%2F5 + t%2F14 = 1

Multiply equation by 70 to get rid of the equation, results:

14(4) + 5t = 70

56 + 5t = 70

5t = 70 - 56

5t = 14

t = 14%2F5

t = 2.8 hrs to run the aux pump

:

2.8 hr = 2 + .8(60) = 2 hrs 48 min

:

Subtract 2:48 from 11:00 = 8:12 PM start the aux pump

;

;

Check solution

4/5 + 2.8/14 =

.8 + .2 = 1

Answer is in picture below

:)

Data can be represented in tables, charts, and graphs.

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]

can be rewritten as

[tex]\rm \:  =  \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]

And

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]

So, using this identity, we

[tex]\rm \:  =  \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]

can be further rewritten as

[tex]\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]

[tex]\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{25 - 1} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{24} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{6} [/tex]

Hence,

[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]

Answer:

The -1 came from factoring.

The equation is multiplied by 8 because 8 could be pulled from 16x-8.

16 can be divided by 8 2 times and 8 can only divided by 8 once.

so factoring it makes the equation 8(2x-1)

Answer:

Line 1 and 2 are neither

Line 1 and 3 are parallel

Line 2 and 3 are neither

Step-by-step explanation:

y = ⅗x -6

10x-6y=6

5y=3x+6

-6y= -10x + 6

y= -10/-6x +6

y= 5/3x+6

5y= 3x+6

y=⅗x+6

Answer:   3

Step-by-step explanation:

Let the number be 'a'.

Since the difference between 13 and a number is 4 more than twice the number,  then    13 - a = 2a + 4

            ⇒    13 - a = 2a + 4

                       2a + a = 13 - 4

                            3 a = 9

                               a = 3

Answer:

Step-by-step explanation:

For every time you have a probability of getting 1 is:

For all 6, the probability of outcome of 1 is:

Probability of 1

Probability of 6

P(1×6)

Answer:

18

Step-by-step explanation:

The boys collected:

12 · 16 = 192

The girls collected:

15 · 14 = 210

So the girls collected 18 more cans more than the boys.

(Integers calculation)

Answer:

YASSSSSSSS

Step-by-step explanation:

Answer:

dnbdjdndh hdhdhbdjf

xnxnxnnxnxnfnf

ndndndndjf

Answer:

I would say  A,B, or D

Step-by-step explanation:

[tex]x + 18 = 54 \\ = > x = 54 - 18 \\ = > x = 36[/tex]

Option A. x = 36

Hope it helps

ray4918 here to help.

_____________

[tex] \: [/tex]

x + 18 = 54

x = 54 - 18

x = 36✔ (A.)

Answer:

Step-by-step explanation:

Find the values of expressions and compare with -12.48:

#1

Yes

#2

No

#3

Yes

Answer: y = 6x + 400

slope = the increase in cost per extra plate

y-intercept = total cost

Answer:

-12

Step-by-step explanation:

Answer:

-8(-4+x)

Step-by-step explanation:

This is because the value of all the numbers never changes. Because

"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.

Hope this helps! :)

Answer:

180°is the sum of the interior angles of an equilateral triangle

Answer:

The answer is 5,368,709,120

Answer:

.

Step-by-step explanation:

3x + x^2 + 2x

= x^2 + 5x

As x goes to negative infinity,

x^2 is always positive and will be higher than  5x as x  increases so

f(x) goes to infinity

Answer:

Step-by-step explanation:

Cost of 1 kg of Potatoes = $ 2

Cost of 1 kg of Carrots = $ 2.40

Let the cost of 1 kg of Potatoes = x

Let the cost of 1 kg of Carrots = y

ATQ , 8x + 5y = 28 - 1)

2x + 3y = 11.20 - 2)

Multiplying 2) by 4

8x + 12y = 44.80 - 3)

Applying Elimination method in 1) and 3)

8x + 5y = 28.00

8x + 12y = 44.80

0 + -7y = - 16.80

y = 16.8/7

y = 2.4

Putting the value of "y" in 1)

8x + 5(2.4) = 28

8x + 12 = 28

8x = 16

x = 16/8

x = 2

Answer:

B) or C)

Step-by-step explanation:

Answer:

33, 77

Step-by-step explanation:

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

Answer:

The 10th Term is; 33.

The 21st Term is; 77

Step-by-step explanation:

You need to add 4 each time to get a term. The first term is -3 so -3+4=1. Then 1+4=5, and 5+4=9 and so on.

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

Answer:

C

Step-by-step explanation:

slope('m") = 0     y-intersect ("b") = 6

y= mx + b

y = 0x + 6

y = 6

Answer:

D. The relationship is linear; y + 9= -4/5(x + 2).

Step-by-step explanation:

yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.

one general form for a linear equation is

y - y1 = m(x - x1)      m = slope and (x1,y1) is a point on the line

from the data the slope iis  (-7-(-2)) /  (-5-(-9)  =  -5 / 4

so using the point (3, -17):-

y - (-17) = (-5/4) ( x - 3)

y + 17 = -5x/4 + 15/4

4y + 68 = -5x + 15

4y = -5x - 53  

thats the equation of the line