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frosja888 [35]
3 years ago
13

A rock has mass of 210 grams and occupies a volume of 70cm what is its density

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Density= Mass ÷ Volume

= 210g ÷ 70cm³

= 3gcm–³ (or 3000kgm–³)

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Which of the following is the definition of term?
vesna_86 [32]
What are the options it gives you?
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3 years ago
Write the equation of the line that passes through the points
sesenic [268]

Answer:

y+5=2(x-3) or y+9=2(x-1)

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(3,-5) and (1,-9)

substitute the values

m=\frac{-9+5}{1-3}

m=\frac{-4}{-2}

m=2

step 2

Find the equation in point slope form

y-y1=m(x-x1)

Analyze two cases

<em>First case</em>

we have

m=2

point\ (3,-5)

substitute

y+5=2(x-3)

<em>Second case</em>

we have

m=2

point\ (1,-9)

substitute

y+9=2(x-1)

Note: The equation of the line in point slope form varies according to the point you choose, in contrast to the slope-intercept form

6 0
3 years ago
The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)
zhenek [66]
Answer:

Use the two points to compute the slope, m, then use one of the points in the form <span>y=m<span>(x)</span>+b</span> to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

<span>m=<span><span><span>y1</span>−<span>y0</span></span><span><span>x1</span>−<span>x0</span></span></span> [1]</span>

The equation <span><span>f<span>(2)</span></span>=−1</span> tells us that <span><span>x0</span>=2and<span>y0</span>=−1</span>; substitute this into equation [1]:

<span>m=<span><span><span>y1</span>−−1</span><span><span>x1</span>−2</span></span> [2]</span>

The equation <span><span>f<span>(5)</span></span>=4</span> tells us that <span><span>x1</span>=5and<span>y1</span>=4</span>; substitute this into equation [2]:

<span>m=<span><span>4−−1</span><span>5−2</span></span> [3]</span>

<span>m=<span>53</span></span>

Substitute <span>53</span> for m into the equation <span>y=m<span>(x)</span>+b</span>

<span>y=<span>53</span>x+b [4]</span>

Substitute 2 for x and -1 for y and the solve for b:

<span>−1=<span>53</span><span>(2)</span>+b</span>

<span>b=−<span>133</span></span>

Substitute <span>−<span>133</span></span> for b in equation [4]:

<span>y=<span>53</span>x−<span>133</span> [5]</span>

Check:

<span>−1=<span>53</span><span>(2)</span>−<span>133</span></span>
<span>4=<span>53</span><span>(5)</span>−<span>133</span></span>

<span>−1=−1</span>
<span>4=<span>4</span></span>

<span><span>
</span></span>

<span><span>Hope this helps </span></span>

3 0
3 years ago
Answer please!!!!!!!!!
Veronika [31]

Answer:

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Step-by-step explanation:

Looking at the graph, you can see that the y-intercept is 1, so you can eliminate choices A and D. You are now left between choices B and C. To figure out the slope, you need to do rise and run. From the y-intercept, you rise up 2, and you run right 3. This means that the slope is 2/3.

5 0
3 years ago
Read 2 more answers
The average cost of an IRS Form 1040 tax filing at Thetis Tax Service is $138.00. Assuming a normal distribution, if 77 percent
jek_recluse [69]

Answer:

22.97

Step-by-step explanation:

Given that the average cost of an IRS Form 1040 tax filing at Thetis Tax Service is $138.00.

Let x be the average cost an IRS Form 1040 tax filing at Thetis Tax Service

P(X is given

From std normal distribution table we find 77th percentile z value.

z=0.74

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i.e. 0.74=\frac{155-138}{s} where s is the std deviation

Simplify to get

Std deviation  = \frac{17}{0.74} \\=22.97

8 0
3 years ago
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