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3 years ago

Henry says that his set of numbers includes all integers. Iliana argues that he is wrong.

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

Answer:

Iliana is correct because Henry included a fraction. Fractions are not integers.

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What is 15% of 40?<br> a2 <br> b4 <br> c5 <br> d6

topjm [15]

Answer:

d. 6

Step-by-step explanation:

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3 years ago

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A sinusodial function whose frequency is 3, maximum value is 12, minimum value is -6 has a y-intercept of 3.

Phantasy [73]

Answer:

f(x)=9sin(6πx)+3

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3 years ago

Find all the values of x (where 0 < or equal to x and x < pi/2) in terms of pi for which cos(6x)=0

statuscvo [17]

cos(6x) = 0
cos⁻¹[cos(6x)] = cos⁻¹(0)
6x = 90
6 6
x = 15°
x = ¹/₁₂π radians

cos(6x) = 0
<span>cos⁻¹[cos(6x)] = cos⁻¹(0)
</span> 6x = 270
6 6
x = 45
x = ¹/₄π radians

cos(6x) = 0
<span>cos⁻¹[cos(6x)] = cos⁻¹(0)
</span> 6x = 450
6 6
x = 75
x = ⁵/₁₂π radians

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3 years ago

Subtract 7x^2−5xy+8y2 from −2x^2−15xy+9y^2

Digiron [165]

Answer

Subtract $7x^2 -5xy+8y^2$ from $-2x^2 -15xy+9y^2$

then;

$-2x^2 -15xy+9y^2 - (7x^2 -5xy+8y^2)$

Remove the bracket we have;

$-2x^2 -15xy+9y^2 - 7x^2 + 5xy - 8y^2$

Like terms are those terms which have same variable to the same power.

Combine like terms;

$-9x^2 -10xy+y^2$

Therefore, Subtracting $7x^2 -5xy+8y^2$ from $-2x^2 -15xy+9y^2$ we get $-9x^2 -10xy+y^2$

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3 years ago

A silo is to be built by attaching a hemisphere roof onto a circular cylinder. The hemisphere part of the silo is constructed by

crimeas [40]

The radius and height, in two decimal places are mathematically given as

r=10.60

<h3>What is the radius and height, in two decimal places?</h3>

Generally, the equation for the volume is mathematically given as

$V=\pi r^{2} h+\frac{2}{3} \pi r^{3}$

Therefore

$5000 &=\pi 0^{2} h+\frac{2}{3} \pi r^{3}$

$V(r, h) &=\pi r^{2} h+\frac{2}{3} \pi r^{3}-5000 \\\nabla V &=\left\langle 2 \pi r h+2 \pi r^{2}, \pi r^{2}\right\rangle \\$

$\cos t &=100\left(2 \pi r^{2}\right)+75(2 \pi r h) \\\\\cos t &=200 \pi r^{2}+150 \pi r h \\\\\nabla C(r, h) &=\langle 400 \pi r+150 \pi h, 150 \pi r\rangle$