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4 years ago

How can you solve the equation x -12 = 10 using a number line? What is the value of x?

Mathematics

1 answer:

nata0808 [166]4 years ago

7 0

Answer:

answer is 22

Step-by-step explanation:

x-12=10

x=12+10

x=22

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3 years ago

Read 2 more answers

I need help on this one please

andre [41]

Answer:

The surface area of the triangular prism is $A=122\:in^2$ .

Step-by-step explanation:

The surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces.

An equilateral triangle is a triangle with all three sides of equal length.

To find the surface area, the area of each face is calculated and then add these areas together.

The formula $A=\frac{1}{2} bh$ is used to find the area of the triangular faces, where A = area, b = base, and h = height.

The formula $A=lw$ is used to find the area of the three rectangular side faces, where A = area, l = length, and w = width.

The surface area of the triangular faces is:

$A=\frac{1}{2} (4)(3.5)+\frac{1}{2} (4)(3.5)\\A=2\cdot \:4\cdot \:3.5\cdot \frac{1}{2}\\A=1\cdot \:4\cdot \:3.5\\A=14\:in^2$

The surface area of the three rectangular side faces is:

$A=4\cdot9+4\cdot9+4\cdot9=108\:in^2$

The surface area of the triangular prism is $A=14+108=122\:in^2$ .

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4 years ago

Which line has a slope of zero?

earnstyle [38]

Answer:

Line D

Step-by-step explanation:

Slope equals 0 means that a line parallel with the x-axis. Hence, line D would be the perfect answer.

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3 years ago

Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so for that reason,

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Answer:

The appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.

Step-by-step explanation:

In this case it is provided that Triclosan is a compound often added to products such as soaps, lotions, and toothpaste.

Since the compound is antimicrobial its corporate producer maintained that it should help prevent staph infections among people who use products containing the compound.

But a scientist wants to test whether the compound actually is associated with higher incidence of staph infection.

That is he wants to determine whether people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan.

Denote:

Group 1: people with a detectable level of triclosan

Group 2: people without a detectable level of triclosan

To test this the hypothesis can be defined as follows:

H₀: The proportion of people with a detectable level of triclosan does not have higher rates of carrying the staph bacteria than people without triclosan, i.e. p₁ - p₂ ≤ 0.

Hₐ: The proportion of people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan, i.e. p₁ - p₂ > 0.

Thus, the appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.

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3 years ago

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Answer:

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Step-by-step explanation:

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