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ludmilkaskok [199]
3 years ago
10

Write a division sentence that tell what the model represents

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0
Wheres the picture of the model
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Jane't solves the inequality 23x+7≤5 and shows her solution on a number line, as shown below. x ≥ 3 All values of x ____________
Sloan [31]

Answer:

values of x that makes the expression true are less than -2/23

Step-by-step explanation:

GIven the expression

23x + 7 ≤5

Subtract 7 from both sides

23x+7-7 ≤5 -7

23x < -2

x ≤ -2/23

Hence the values of x that makes the expression true are less than -2/23

4 0
2 years ago
Consider a sphere of radius R &gt; 0. Take two antipodal points A and B on the sphere, and another point C on the sphere. Check
aleksklad [387]

Answer:

To this question; we want to show that if two antipodal points on a sphere were A and B, for any random point C on the sphere, AC is perpendicular to BC?

Step-by-step explanation:

I would proceed by imagining the sphere in a three dimensional Cartesian coordinate system. For example, use a sphere of diameter 2 and let it sit at the origin. Then (0, 0, 1) and (0, 0, -1) are the vector locations of the “north and south poles” of the sphere.

Now choose the vector location of any point on the surface of the sphere. It will have a vector location - we’ll call it (x, y, z). Now the vectors from your point to the two poles are (-x, -y, 1-z) and (-x, -y, -1-z).

Now just form the dot product of those two vectors:

(-x, -y, 1-z) . (-x, -y, -1-z) = x^2 +y^2 + (1-z)*(-1-z)

Now the truth of your claim will be embodied in that dot product being zero:

x^2 + y^2 - (1+z)(1-z) = 0

x^2 + y^2 - (1-z^2) = 0

x^2 + y^2 + z^2 = 1

But that last line is just the definition of points on the surface of a sphere of radius 1, so the claim is proven.

Since R>0 and AC is perpendicular to BC, the <ACB is at right angle.

Please, find attached a simple image to show antipodal points (Two points that makes a diameter) and a point C on the sphere.

5 0
3 years ago
1)Shannon takes a class to learn Japanese.The class costs $243 and lasts for 12 weeks.what is the cost,per week,of the Japanese
miskamm [114]
243 divided by 12 is $20.25
5 0
3 years ago
Read 2 more answers
Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis
ruslelena [56]

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: H_0:p=0.45 \\ H_a:p>0.45

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α  ∵0.025< 0.05

[if p-value< α , we reject H_0]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

3 0
3 years ago
Granite counter tops cost $40 for every square foot. The base pay to install the counter top is $750. Set up a Linear Model repr
vladimir1956 [14]

Answer:

31.5 square feet of counter top

Step-by-step explanation:

x represents the number of square feet

40x + 750 = 2010 subtract 750 from both sides

40x = 1260 divide both sides by 40

x = 31.5

3 0
2 years ago
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