What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?

Let x be the number of counters in the bag.

Pr(red counter) is drawn first = 7/x

Pr(blue counter) is drawn first = (x-7)/x

Pr(counters will be same) = 8/15

with replacement:

P^req= 7/7+x × x/7+x= 7/15

so, the total number of counters in the bag before any counters are taken from the bag are 7/15.

Answer:

2.5, 3, 6, 9, 2.8, 6, 1.5

Is this what you're asking for?

Step-by-step explanation:

Answer:

The answer for this question is 9.

Step-by-step explanation:

8.5 x 4 x 9 is 306

Answer:

P = 9 mm

Step-by-step explanation:

306 = P X 8.5 X 4

306 = 34P

[tex]306/34 = P[/tex]

P = 9 mm

Hope this helps

Answer:

I think the modes are: 20 ,18 and 19

Answer:

Step-by-step explanation:

Volume of cylinder:

[tex]\boxed{\text{Volume of cylinder=$\pi r^{2}h$}}[/tex]

Bottom cylinder:

1 inch = 2.54 cm

 diameter = 14 in

r = 14/2 = 7 in

r = 7 *2.54 = 17.78 cm

h = 4 in = 4*2.54 = 10.16 cm

Volume = 3* 17.78 * 17.78 * 10.16

             = 9635.59 in³

Upper cylinder:

diameter = 12 in

r = 12/2 = 6in

r = 6*2.54 = 15.24 cm

h = 12 in = 12*2.54 = 30.48 cm

Volume = 3 * 15.24 *15.24 * 30.48

             = 21237.63 in³

Volume of the object = 9635.59 + 21237.63                  

                                     = 30873 cm³

Answer:

[tex]x=\pm\frac{9}{2}[/tex]

Step-by-step explanation:

I assume you mean [tex]4x^2-81=0[/tex]:

[tex]4x^2-81=0\\(2x-9)(2x+9)=0\\x=\frac{9}{2},\:x=-\frac{9}{2}\\x=\pm\frac{9}{2}[/tex]

We were able to work quickly here since the original left-side expression was a difference of squares.

Answer:

Step-by-step explanation:

4x^2 - 81 = 0

(2x - 9)(2x + 9) = 0

x = -9/2, 9/2

The percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'  known as percentage symbol.

In the attached image below the monthly budget is shown. In this budget the take home salary is $5388 and the total expences is $4558.

The percentage of take-home pay is spent on expenses is,

[tex]P=\dfrac{4558}{5388}\times100\\P=0.8459\\P\approx85\%[/tex]

Thus, the percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

Learn more about the percentage here;

https://brainly.com/question/24304697

Answer:

divided by 3 on both sides

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

I think

1.3

2.15cm²

3.5

Sorry!!I don't have time ok

I'll explain later but i wrote the answer 1-3 ok

Answer:

I also need help with this I'm new to this app so id

Step-by-step explanation:

the formula is distance/time

since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer

Answer: 76

Step-by-step explanation:

The area of the given composite figure is 76 square units.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given composite figure has three parts, two triangles and one rectangle.

Area of small triangle = 1/2 ×8×2

= 8 square units

Area of large triangle = 1/2 ×8×3

= 12 square units

Area of rectangle = Length×Height

= 8×7

= 56 square units

Total area = 8+12+56

= 76 square units

Therefore, the area of the given composite figure is 76 square units.

Learn more about the area here:

https://brainly.com/question/27683633.

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Answer:

14.424375 cubed feet (can round)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First, find the volume of the rectangular prism which is 4 x 2 x 2 = 16 cubed feet.

Next, find the volume of the cylinder, and use this formula:

πrr (area of one circle) x the height

The r = the radius, but we only have the diameter. We need to divide the diameter by 2 to find the radius. (7 divided by 2 = 3.5 feet)

Now, we can plug all of the numbers in the previous formula:

π(3.5)(3.5) x the height (6 feet) = 230. 79 cubed feet

For the final step, we need to do 230. 79 divided by 16 to find how many rectangular prisms can fit in the cylinder.

So, the answer is 14.424375 cubed feet. (Add the label of "squared feet" and round the answer if you like!)

Answer:

10

Step-by-step explanation:

use a number line

6 + 4 =10

Using linear function concepts, it is found that the correct statements are given by:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine a volume, you need a volume formula.

Volume:

[tex]\Longrightarrow:\sf{V=l*w*h}[/tex]

Multiply these numbers from left to right.

[tex]\sf{7.1m*5.2m*3.4m=\boxed{\sf{125.5m^{3}}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The air quality index (AQI) is given by the function.

[tex]\rm n = 1.76t^2-13.32 +41[/tex]

Where n be the number of days the AQI exceeds 100 in a given year.

For [tex]\rm t = -2[/tex], then we have

[tex]\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

Learn more about the area;

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Answer:

43690

Step-by-step explanation:

hope u understand it

Answer:

Ah cgej4

YTL bebekte gt ydd

Step-by-step explanation:

(8=6'+)9*3-6

Answer:

[tex] \frac{596}{125} [/tex]

should be it

Step-by-step explanation:

corresponding angles (CA)

Alternative interior angles (AIA)

co interior angles (CIA)

5 + 3 = 180 ( CIA)

83⁰ + 3 = 180

angle 3 = 180 - 83⁰

angle 3 = 97

angle 8 = angle 3.... CA

angle 8 = angle 16 ....CA

ANGLE 16 = ANGLE 12.....CA

angle 5 = angle 13 ....CA

ANGLE 3 = Angle 6......AIA

ANGLE 5 = ANGLE 4.......AIA

ANGLE 4 = ANGLE 7......CA

ANGLE 6 = ANGLE 1......CA

ANGLE 13 = ANGLE 9......CA

ANGLE 12 = ANGLE 14.....AIA

ANGLE 13 = ANGLE 11.....AIA

ANGLE 14 = ANGLE 10.......CA

ANGLE 11 = ANGLE 15

NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....

QUESTION 2 :

ANGLE 1 = ANGLE 7 .......AIA

2X + 40 = 6X - 20

40 + 20 = 6X - 2X

60 = 4X

60/4 = X

15⁰ = X

SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70⁰

AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70⁰

ANGLE 7 = ANGLE 3 ......CA

ANGLE 3 = ANGLE 5 .....AIA

ANGLE 3 + ANGLE 6 = 180 .....CIA

70 + ANGLE 6 = 180⁰

ANGLE 6 = 180 - 70⁰ = 110⁰

angle 2 = Angle 6

ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE

ANGLE 8 = ANGLE 4

NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....

Did I really jst got 15 points for this (ノ｀Д´)ノ彡

HEHEEE JK:)

Answer:

76

Step-by-step explanation:

to find the area of a square do base x height

7 x 8 = 56

to find the area of a triangle do base x height ÷ 2

3 x 8 = 24

24 ÷ 2 = 12

2 x 8 = 16

16 ÷ 2 = 8

8 + 12 + 56

= 76

     The surface area is found by finding the area of all shapes creating the surface, and then adding them together.

Example:

     If we have a 5 x 5 x 5 cube, we will find all six sides. Since 5 x 5 is 25, and 25 x 6 = 150, the surface area of this example cube will be 150 units².

     Why the x 6? Since it is a cube all the sides have the same area, and a cube has 6 sides.

Answer:

99999

Five Digit Numbers

The smallest five-digit number is 10000 and the greatest five-digit number is 99999.

Step-by-step explanation:

Answer:

A.128

Step-by-step explanation:

First you break the prism apart so that you have one 7x4x2 rectangular prism and one 12x3x2 prism. Find the volume of both, then add them together.

Volume of 12x3x2:

12 x 3 = 36.          36 x 2 = 72.

Volume of 7x4x2:

7 x 4 = 28.            28 x 2=56.

Then add both volumes: 72 + 56 = 128.

Answer:

add them

Step-by-step explanation:

you have to add them all up because it says find the range