Un joyero tiene forma de un prisma con base hexagonal tiene una altura de 3cm y un volumen de 67.5cm3 cual es el area de su base ??

Answer: x = 8 y = 4 or C

Step-by-step explanation:

Answer:

14. 9²

15. 10²

Step-by-step explanation:

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

Answer:

1/4

Step-by-step explanation:

1/2 x 1/2

Answer: [tex]\dfrac{16}{9}\ s[/tex]

Step-by-step explanation:

Given

[tex]s(t)=-t^3+2t^2+\frac{3}{2}[/tex]

Average velocity is given by

[tex]v_{avg}=\dfrac{\int vdt}{\int dt}[/tex]

[tex]v_{avg}=\dfrac{-\frac{t^4}{4}+\frac{2}{3}t^3+1.5t}{t}\\\\v_{avg}=-\frac{t^3}{4}+\frac{2}{3}t^2+1.5[/tex]

Now, equate the average and instantaneous velocity

[tex]-\frac{t^3}{4}+\frac{2}{3}t^2+1.5=-t^3+2t^2+1.5\\\\\Rightarrow -\dfrac{3t^3}{4}+\dfrac{4t^2}{3}=0\\\\\Rightarrow t^2\left(-\dfrac{3}{4}t+\dfrac{4}{3}\right)=0\\\\\Rightarrow t=\dfrac{16}{9}\ s[/tex]

Answer:

Each Towel is 4.95 each

Step-by-step explanation:

We can use 8t = 39.60 as our equation

8t = 39.60

Divide 8 on both sides.

t = 4.95

Hope this helps! ^^

Answer:

8

Step-by-step explanation:

1/4 x 4/10 x 80/1 = 320/40 which is 8

Answer:

37

Step-by-step explanation:

Answer:

2x-2 = 23

2x = 25

x=25/2 = 12.5

Step-by-step explanation:

Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Answer:

n=1/6

Add the numbers

1

−

4

+

1

6

−

6

4

=

9

{\color{#c92786}{1}}{\color{#c92786}{-4}}+{\color{#c92786}{16}}-64n=9

1−4+16−64n=9

1

3

−

6

4

=

9

{\color{#c92786}{13}}-64n=9

13−64n=9

2

Rearrange terms

1

3

−

6

4

=

9

{\color{#c92786}{13-64n}}=9

13−64n=9

−

6

4

+

1

3

=

9

{\color{#c92786}{-64n+13}}=9

−64n+13=9

3

Subtract  

1

3

13

13

from both sides of the equation

−

6

4

+

1

3

=

9

-64n+13=9

−64n+13=9

−

6

4

+

1

3

−

1

3

=

9

−

1

3

-64n+13{\color{#c92786}{-13}}=9{\color{#c92786}{-13}}

−64n+13−13=9−13

4

Simplify

Subtract the numbers

Subtract the numbers

−

6

4

=

−

4

-64n=-4

−64n=−4

5

Divide both sides of the equation by the same term

−

6

4

=

−

4

-64n=-4

−64n=−4

−

6

4

−

6

4

=

−

4

−

6

4

\frac{-64n}{{\color{#c92786}{-64}}}=\frac{-4}{{\color{#c92786}{-64}}}

−64−64n​=−64−4​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

1

6

Answer:

240

Step-by-step explanation:

Its kinda hard because I dont know the shape of which is width or height or legnth

Answer:

(2,-3)

Step-by-step explanation:

by elemination

2x + 2y = –2

3x – 2y = 12

cross out the 2y and -2y because the cancle each other.

that leaves 2x= -2

and             3x = 12.

simply add/subtract. 2x+3x=5x

                                  -2+12=10.

                                    5x=10

                                    x=2.

now for the y. we have x so all we have to do is plug.

take any equation.   2x + 2y = –2  and plug 2 into the x.

2(2)+ 2y = –2

4+2y= -2

-2-4= -6

2y=-6

y=-3.

put x and y into ordered pairs

(2,-3) and done.

easy peasy.

Answer:

x=2 y= -3

Step-by-step explanation:

2x+2y = -2

x+y = -1 (dividing both sides with 2

x+1 = -y

3x - 2y = 12

3x + (-y)(2) = 12

3x + (x+1)(2) = 12

3x+2x+2=12

5x+2=12

x=2

-y= 1+2

y= -3

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

The correct option is A. Volume of the pyramid is 25 cm³ which is option A.

What is the volume of the pyramid?

The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.

The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.

5×5=25 cm²

Now multiply 25 by the height of the pyramid which is 3 cm.

25×3=75 cm³

Divide 75 by 3 to find the volume of the pyramid.

75÷3=25 cm³

Thus, the volume of the pyramid is 25 cm³ which is option A.

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Answer:

Use this formula

[tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

Answer will be option A

Process:

V= [tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

   = 4/3 *[tex]\pi }[/tex]*[tex]8^{3}[/tex]

   =[tex]\frac{2048\pi }{3}[/tex]

   =2144.66[tex]m^{3}[/tex]

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

Answer:

the probability the octahedron will land on A is 3/8

the probability the octahedron will land on B is 1/8

the probability the octahedron will land on C is 4/8 or 1/2

Step by Step explanation:

All u have to do to figure this out is to first count the total amount of letters and in this case there are 8. To find the probability of a specific letter, you have to count how many of that letter there is in the total of 8. For example the letter A's probability is 3/8 since there are 3 A's and 8 letters in total.

hope this helps!!

Answer:

[tex] \frac{3(x + 1)}{ {(x + 1)}^{2} } \\ = \frac{3(x + 1)}{(x + 1)(x + 1)} \\ = \frac{3}{(x + 1)} [/tex]

Answer:

3(x+1)/2(x+1)

here ,(x+1) gets cancel

so answer is 3/2

Step-by-step explanation:

Answer:

the interest received is $957.03

Step-by-step explanation:

Given that

The invested amount is $10,000

There is 18 months

And, the interest rate is 6.25%

= (($10,000 × (1 + 6.25% ) × 0.0625  × 6 months ÷ 12 months)) + ($10,000 × 6.25%)

= $332.03 + $625

= $957.03

Hence, the interest received is $957.03

Answer:

$45.36

Step-by-step explanation:

1 dinar = $1.4

32.4=?

32.4*1.4

$45.36

The value of × that satisfies the equation 243× = 73 is approximately 0.6691.

To solve the equation 243× = 73, where × represents the base of the number, we need to determine the value of × that satisfies the equation.

We can start by rewriting the equation as an exponential equation:

243ˣ= 73

To solve for ×, we need to isolate × on one side of the equation. We can do this by taking the logarithm of both sides of the equation. Let's take the logarithm with base 10 (log) for simplicity:

log(243ˣ) = log(73)

Applying the logarithmic property, we can bring down the exponent × as a multiplier:

× * log(243) = log(73)

Now, we can solve for × by dividing both sides of the equation by log(243):

× = log(73) / log(243)

× ≈ 0.6691

Therefore, the value of × that satisfies the equation 243× = 73 is approximately 0.6691.

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Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer:

.01*.5ˣ

Step-by-step explanation:

we can see that x=0 y= .01

so in our equation

a*bˣ

a=.01

This is throuhg plugging in 0 for x

a*b⁰=.01

a*1=.01

a=.01

Now it's just a matter of finding b

to do this just plug in a value

we know that when x=1 y=.005

.01*b¹=.005

b= .5

So our final equation is :  .01*.5ˣ

Answer:

C 3,000

Step-by-step explanation:

the step is you would take 15% of 20,000 candy bars

Answer:

-5.5.

Step-by-step explanation:

The negative numbers are less than the positive and -5.5 is less than -5.

Answer:

3.2 x 10^13

Step-by-step explanation:

(8x10^4)(4x10^8)

reorder the terms using the commutative property

(8x4)x(10^4x10^8)

multiply

32x (10^4 x 10^8)

= 32 x 10^4+8

= 32 x 10^12

now convert to scientific notation

=3.2 x 10^13

Answer: [tex]c-56[/tex]

Step-by-step explanation:

Given

Luna has c caramel

Her sister took 56 caramel

The number of caramel luna has left is the subtraction of initial and 56 i.e.

[tex]\Rightarrow c-56[/tex]

Answer:

8m

Hope this answers the question. Have a nice day.