rectangle with length 11 1/2 in. and width 8 in The area of this rectangle is____________
in2.

Answer:

the answer is  7.75 g/cm3

Step-by-step explanation:

hope this helps

The density of the given block of stainless steel is 7.75 g/cubic cm. The value is obtained by the ratio of its mass to its volume.

The cuboid has rectangular faces with length(l), width(w), and height(h). So, the density of the material which is required to make the cuboid is calculated as follows:

Density = mass/volume

Where the volume of the cuboid is the product of length, width, and height.

I.e., Density = mass/ (l × w × h)

The given block has

length(l) = 8cm

width(w) = 5cm

height(h) = 3cm

The mass of the block is given as 930g

So, the density of the stainless steel is

Density = 930g/(8 × 5 × 3) cm³

            = 930/120 (g/cm³)

            = 7.75 g/cm³

Therefore, the density of the block is 7.75 g/cubic cm.

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Answer:

the second option

Step-by-step explanation:

The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:

x² + 16x + y² - 16y + 124 = 0

(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64

(x + 8)² + (y - 8)² = 4

Now we can see that the circle has center (-8, 8) and radius 2.

To graph it, we can plot the center point and then draw a circle with radius 2 around it.

Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

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Answer:

(8)^2-4(16)(1)=0

Value of determinant: 0

one real solution (or two equal solutions)

Step-by-step explanation:

Answer:

22.

     log3(4) + log3(5x^2 + 1) = 2

<=> log3(4 x (5x^2 + 1)) = log3(9)

<=> 20x^2 + 4 = 9

<=> 20x^2 = 5

<=> x^2 = 1/4

<=> x = +/- (1/2)

23.

      log8(4x^2 + 1) - log8(2) = log8(5)

<=> log8((4x^2 + 1)/2) = log8(5)

<=> 2x^2 + 1/2 = 5

<=> 2x^2 = 9/2

<=> x^2 = 9/4

<=> x = +- (3/2)

24.

      log8(4x^2 - 9) - log8(5) = 1

<=> log8((4x^2 - 9)/5) = log8(8)

<=> (4x^2 - 9)/5 = 8

<=> 4x^2 - 9 = 40

<=> 4x^2 = 49

<=> x^2 = 49/4

<=> x = +/- (7/2)

Hope this helps!

:)

Answer:

Step-by-step explanation:

rectangle and triangle is here

area of triangle = 1/2 * 5 * 12 = 30

area of rectangle = 1 * 12 = 12

total is 12 + 30 = 42

Answer:

1 1/2 i think

Step-by-step explanation:  to find out the batteries price you subtract 2.50  from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.

Answer:

show us the graph

Step-by-step explanation:

Answer:

use phototmath

Step-by-step explanation:

Answer:

28unit³

Step-by-step explanation:

given,

1 side has 21/2 unit square area

the side happens to be l×b

h is given as 8/3

the volume formulae is l×b×h

substituding in formulae

21/2×8/3

=28 unit³

this is correct

plzz mark me brainliest

Answer:

rational

Step-by-step explanation:

sqrt(36) = ±6

This is a rational number since we can write it as a fraction of integers

±6/1

Answer:

Rational Number.

Step-by-step explanation:

Simplify √36:

√36 = √(6 * 6) = 6

6 is a rational number (whole number), therefore, √36 is a rational number.

~

Answer:

7.4 x 10^7

Step-by-step explanation:

3.98 x 10^8 - 3.24 x 10^8 = 0.74 x 10^8 (not scientific notation, because it isn't full number)

0.74 x 10^8 ---> 7.4 x 10^7

   - got seven by counting the spaces it moved over (right decrease, while left increases)

Answer:

16

Step-by-step explanation:

You need to find the answer

Answer:

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Step-by-step explanation:

She cuts 1/2 of a piece of paper.

Of what was cut, she used 1/6 to make a piece.

What fraction of the sheet of paper does she use to make the flower?

A sixth of one half. So

[tex]\frac{1}{6}*\frac{1}{2} = \frac{1}{12}[/tex]

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Answer:

25,600

Step-by-step explanation:

You can use the rule of three considering that the number of dolls sold varies directly with the advertising budget:

$54,000    →   9,600

$144,000   →       x

[tex]x=\frac{144,000*9,600}{54,000}[/tex]

x=25,600

According to this, the number of dolls sold if the amount of advertising budget is increased to $144,000 is 25,600.

The number of dolls sold should be 25,600.

Given that,

Based on the above information, the calculation is as follows:

[tex]= \$144,000 \times 9,600 \div \$54,000[/tex]

= 25,600

Therefore we can conclude that The number of dolls sold should be 25,600.

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Answer:

Yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

x=90? is there any other info?

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle

Answer:

P(A) x P(B) = 35 x 13 = 455

P(A∩B) = 18

=> P(A) x P(B) ≠ P(A∩B).

=> A and B are not independent.

=> Option A (No, because 35(13)≠18) is correct.

Hope this helps!

:)

A and B are not independent because 35(13)≠18), the correct option is A

Independent events and probability can be defined as those occurrences that are not dependent on any specific event.

P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.

It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18

P(D│E) = P (D ∩ E)/ P(B)

P(D│E) = 18/13

Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.

Taking A and B as independent events, then P(D│E) = P(D).

Here, A and B are not independent because 35(13)≠18), the correct option is A.

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

Explanation:

The center is at (0,2). So (h,k) = (0,2) leads to h = 0 and k = 2.

The radius is 2 units, meaning r = 2.

Plug h = 0, k = 2, r = 2 into the formula below and simplify

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-2)^2 = 2^2\\\\x^2 + (y-2)^2 = 4[/tex]

Answer:

Popcorn=$6

Step-by-step explanation:

1) Setting variables

d= price of drinks

p= price of popcorn

2) Writing the system of equations

10d+7p=132

2d+14p=102

3) Simplifying one equation

2d=102-14p

d=51-7p

4) Solving the other equation by plugging the first equation in

d=51-7p

10d+7p=132

10(51-7p)+7p=132

510-70p+7p=132

510-63p=132

63p=378

p=6

5) Substituting p=6 into the first equation

d=51-7p

d=51-42

d=9

Answer:

Step-by-step explanation:

Quotient means result of division

anything raised to 0 is 1

(-3)^0 = 1

(-3)^2 = -3 * -3 = 9

Quotient = 1/9

Answer:

1/9

Step-by-step explanation:

Answer:

x = 3, y = 2

Step-by-step explanation:

~ Through process of elimination ~

1.         - 8x + 2y = -20      

        +   8x - 5y = 14

2. Simplify to solve for y through simple algebra:

          2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2

3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:

- 8x + 2 ( 2 ) = -20  ⇒

    -8x + 4 = -20 ⇒

       -8x = -24 ⇒

           x = 3

Answer:

3

Step-by-step explanation:

3-2=1

3+10=13

1x13=13

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes /  Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

⇒ Probability to get less then 4 = 9 / 50

Answer:

10pix+65pi

Step-by-step explanation:

pi(x+9)^2-pi(x+4)^2

=pi(x^2+18x+81)-pi(x^2+8x+16)

=pix^2+18pix+81pi-pi(x^2+8x+16)

=pix^2+18pix+81pi-pix^2-8pix-16pi

=10pix+65pi

Answer:

about 94 boxes.

Step-by-step explanation:

1503 divided by 16 ≈ 94

Answer:I believe you would need about 93.9375 boxes round as needed

Step-by-step explanation:1503/16= 93.9375

Answer:

the value of x is 5 .

Step-by-step explanation:

In order to find the value of x, you have to move the unrelated terms to the other side by adding 4 to both sides :

[tex]11 = 3x - 4[/tex]

[tex]11 + 4 = 3x - 4 + 4[/tex]

[tex]15 = 3x[/tex]

Next, you have to divide it by 3 :

[tex]3x = 15[/tex]

[tex]x = 15 \div 3[/tex]

[tex]x = 5[/tex]

Answer:

the answer is attached to the picture

Step-by-step explanation:

hope this helps

Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

Answer:

Third side is 9m.

Step-by-step explanation:

In a right triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.

15 x 15= 225m2

12 x 12 = 144m2

225 - 144 = 81m2 and the length of the third side is square root of 81, which would be 9m as your final answer.

Answer:

Follow the Pythagoreas theorm. You typically need to find [tex]C^2[/tex], which is the hypotonuse, but because we already know this, we can rearrange the equation to make sense.

Personally, I like to substitute with non-related numbers, such as 1 and 2. In the following example, the sides are 1 unit, 2 units, and 5 units. First, I like to figure out the sum of [tex]a^2[/tex] and [tex]b^2[/tex] .

EX: [tex]1^2+2^2= 5[/tex]

[tex]25^2=5[/tex]

I can rearrange this so that one leg and the hypotenuse are on the same side:

[tex]25^2-1^2=2^2[/tex]

Now I can take out the example numbers, and substiture in the variables.

[tex]c^2-a^2=b^2[/tex]

Now all I have to do is fill in the known variables!

[tex]15^2-12^2=b^2[/tex]

Solve!

[tex]225-144=80[/tex]

We're not done- we have to find the square root of 81!

It's 9m!

Finally, we can check our work by plugging [tex]A^2[/tex] and [tex]B^2[/tex] into the normal equation. It checks out!

[tex]12^{2} +9^{2} = 15^{2} \\=225 =225\\225=225[/tex]

Have questions? Let me know!