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torisob [31]
2 years ago
10

I will give your brainliest for this please

Mathematics
1 answer:
VashaNatasha [74]2 years ago
6 0
<h2>Answer: Where is the question</h2>
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A gum ball has a radius that is 30mm. The radius of the gumballs spherical hollow core is 28mm. What is the volume of the gum ba
Arada [10]

Answer:

V = 21145.01 mm³

Step-by-step explanation:

Given that:

The radius of the gumball = 30  mm

The radius of the spherical hollow-core = 28 mm

Consider the radius of the gumball to be r_2 and the radius of the spherical hollow-core to be r_1. Then;

The volume of the gumball can be determined by using the formula of a sphere.

V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)

V = \dfrac{4}{3} \times \pi \times (30^3 - 28^3)

V = 21145.01 mm³

5 0
3 years ago
Discuss the differences between the measurement of the surface area and the measurement of the volume of a right rectangular pri
yKpoI14uk [10]
Given: 
Right Rectangular Prism.
It has its length, width, and height.

Surface area of a right rectangular prism has this formula:
SA = 2 (wl + hl + hw)

Volume of a right rectangular prism has this formula
V = whl

Formula of Surface Area is different from Volume.

Surface area measures the area the whole rectangular prism surface. It computes for the area of all 6 faces that a right rectangular prism has.

Volume measures the area within the rectangular prism. It is the space that is enclosed within the rectangular prism.
5 0
3 years ago
Which line segment is drawn in the figure?<br> w<br> DYZ<br> WY<br> XZ<br> I wz
maksim [4K]

Answer:

XZ

Step-by-step explanation:

X and Z are points so that makes 2 endpoints, and a line segment

4 0
3 years ago
A fishbowl has a capacity of 192 fluid ounces. How many quarts is that?
DENIUS [597]

Answer:

hope this helps

Step-by-step explanation:

192 fl oz. = 6 quarts

to get this you divide the fluid ounces by 32.

7 0
2 years ago
The Johnson twins were born five years after their older sister. This​ year, the product of the three​ siblings' ages is exactly
Mamont248 [21]

Answer:

13 years.

Step-by-step explanation:

Suppose, today, the Johnson twins' age is x years. Then the age of their elder sister will be (x + 5) years old. It is given that product of the three​ siblings' ages is exactly 2998 more than the sum of their ages. Therefore:

x + x + x + 5 + 2998 = (x)(x)(x + 5).

3x + 3003 = x^3 + 5x^2.

x^3 + 5x^2 - 3x - 3003 = 0.

To solve the question, factor theorem will be used. It states if any number c satisfies the equation f(c) = 0, then c is the factor of f(x). By observation, it can be seen that x = 13 can be a possible candidate for the factor of f(x). To verify, check f(13).

f(13) = 13^3 + 5(13^2) - 3(13) - 3003 = 2197 + 845 - 39 - 3003 = 0.

Since f(13) = 0, therefore x = 13 is the factor of f(x).

Now applying synthetic division:

Column 1       2       3       4            5

     13    |         1       5      -3        -3003  (Row 1)

______|______<u>  _13__234___3003</u>   (Row 2)

            |         1       18      231          0    (Row 3)

The method requires to write the coefficients of all the powers in the Row 1 on the right hand side of the table. Put the factor x = 13 on the left hand side of the table (Row 1 Column 1). The first step involves the second column elements to be added. Since there is only 1, thus there will be 1 below the line. Next step involves multiplying 1 with the factor (which is 13) and this will be the element for row 2 column 3. The add the elements of the column 3. The answer comes out to be -3. Repeat the above steps for the columns 4 and 5. The sum of the column 5 (the last column) should be 0, which is the case. The elements of the last row are actually the coefficients of the quadratic equation which is resultant from dividing f(x) by (x - 13). Thus:

x^2 + 18x + 231 = 0.

Using completing the square:

x^2 + 18 = -231.

(x)^2 + 2*(x)*(9) + (9)^2 = -231 + (9)^2.

(x + 9)^2 = -231 + 81.

(x + 9)^2 = -150.

Taking square root on both sides shows that rest of the 2 answers of this polynomial will be complex roots since square root of -150 does not exist in real numbers. Therefore, since the age is a real quantity and not a complex quantity, the age of the twins is 13 years!!!

8 0
3 years ago
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