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Tanya [424]
3 years ago
14

ASAP please

Mathematics
2 answers:
jolli1 [7]3 years ago
6 0

Answer:

V = \dfrac{1}{3}(3.14)(2^2)(3) - \dfrac{4}{3}(3.14)(0.25^3)

Step-by-step explanation:

The volume that can be filled with flavored ice is the volume of the cone minus the volume of the gum sphere.

radius = diameter/2

V_{cone} = \dfrac{1}{3} \pi r_c^2 h

V_{sphere} = \dfrac{4}{3} \pi r_s^3

V = V_{cone} - V_{sphere}

V = \dfrac{1}{3} \pi r_c^2 h - \dfrac{4}{3} \pi r_s^3

V = \dfrac{1}{3} \pi (2~in.)^2 \times 3~in. - \dfrac{4}{3} \pi (0.5~in.)^3

V = \dfrac{1}{3}(3.14)(2^2)(3) - \dfrac{4}{3}(3.14)(0.25^3)

WITCHER [35]3 years ago
6 0

Answer:

Step-by-step explanation:

The volume that can be filled with flavored ice is the volume of the cone minus the volume of the gum sphere.

radius = diameter/2

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Write 37 and 2/3% as a fraction in simplest form.<br> URGENT
Tems11 [23]

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101 2/3

Step-by-step explanation:

8 0
2 years ago
Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?
vazorg [7]

Answer:

x = 4 ± \sqrt{19}

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± \sqrt{19} ( add 4 to both sides )

x = 4 ± \sqrt{19}

8 0
2 years ago
Read 2 more answers
What is the answer to <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1000%7D" id="TexFormula1" title="\sqrt[3]{1000}" alt="\
liubo4ka [24]

Therefore, cube root of 1000 is 10.

Step-by-step explanation:

= 3√1000

= 3√(10 × 10 × 10)

= 3√(103)

= 10

6 0
2 years ago
What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?
maxonik [38]

we have

f(x)=-(x+8)(x-14)

Convert to vertex form

f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112

we know that

the equation of a vertical parabola in vertex form is equal to

y=a(x-h)^{2} +k

where

(h,k) is the vertex

f(x)=-x^{2}+6x+112

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)-112=-(x^{2}-6x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)-112-9=-(x^{2}-6x+9)

f(x)-121=-(x^{2}-6x+9)

Rewrite as perfect squares

f(x)-121=-(x-3)^{2}

f(x)=-(x-3)^{2}+121

the vertex is the point (3,121)

therefore

<u>the answer is </u>

The y-value of the vertex is 121

8 0
3 years ago
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