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2 years ago

Sal recorded the number of crackers in each snack-sized package he opened.

Mathematics

2 answers:

madreJ [45]2 years ago

4 0

Answer:

c. i took the test

Step-by-step explanation:

Natasha2012 [34]2 years ago

3 0

It’s going to be 99 but I’m not sure

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#19. state the possible number of imaginary numbers of f(x) = 7x3 - x2 + 10x - 4

guapka [62]

7x3=21-2=19+10=29-4=25

3 0

3 years ago

Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, an

Natasha_Volkova [10]

Answer:

The volume of the solid is 243 $\sqrt{2} \ \pi$

Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

0 ≤ x² + y² + z² ≤ 81

0 ≤ ρ² ≤ 81

0 ≤ ρ ≤ 9

The intersection that takes place in the sphere and the cone is:

$x^2 +y^2 ( \sqrt{x^2 +y^2 })^2 = 81$

$2(x^2 + y^2) =81$

$x^2 +y^2 = \dfrac{81}{2}$

Thus; the region bounded is: 0 ≤ θ ≤ 2π

This implies that:

$z = \sqrt{x^2+y^2}$

ρcosФ = ρsinФ

tanФ = 1

Ф = π/4

Similarly; in the X-Y plane;

z = 0

ρcosФ = 0

cosФ = 0

Ф = π/2

So here; $\dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}$

Thus, volume: $V = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4} \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho ^2 \ sin \phi \ d\rho \ d \theta \ d \phi$

$V = \int \limits^{\pi/2}_{\pi/4} \ sin \phi \ d \phi \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho ^2 d\rho$

$V = \bigg [-cos \phi \bigg]^{\pi/2}_{\pi/4} \bigg [\theta \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3} \bigg ]^{9}_{0}$

$V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]$

V = 243 $\sqrt{2} \ \pi$

4 0

3 years ago

Which of the following is a true statement about the equation y = -7/8x + 10

Greeley [361]

Answer:

Step-by-step explanation:

y = -7/8x - 10

in y = mx + b form, which is what this is in, the slope can be found in the m position

y = mx + b

y = -7/8x - 10

so u have slope (m) = - 7/8 <====

the slope is not 10

the graph will not pass thru the origin

this equation does not represent a proportional relationship

4 0

3 years ago

Find the slope of the line

Serhud [2]

Answer:

Slope is undefined.

Step-by-step explanation:

Slope of 0 is a horizontal line.

Slope of undefined is a vertical line.

Any other slope is something in between.

7 0

3 years ago

Read 2 more answers

1. If p(x) = 3x + 4x² - 5x +8, find p(-2).

levacccp [35]

Step-by-step explanation:

$\small{\underline{\tt{\red{Given}}}}$

$\rightarrow$ p(x) = -2

$\small{\underline{\tt{\green{solution}}}}$

$\rightarrow$ $p(x) = 3x + {4x }^{2} - 5x + 8$

$\rightarrow$ $p( - 2) = 3( - 2) + 4( { - 2}^{2} ) - 5( - 2) + 8$

$\rightarrow$ $p( - 2) = - 6 + 16 + 10 + 8$

$\rightarrow$ $p( - 2) = 10 + 18$

$\rightarrow$ $p( - 2) = 28$

$\small\boxed{p(-2) = 28 }$

Hope it helps

4 0

3 years ago