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bogdanovich [222]
3 years ago
15

Graph the inequality y<-2x+1

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
Relative easiness.
All we do is graph the line y=-3x+1 as a dotted line, and shade everything to the left of it

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What is the volume of a ball that has a diameter of 9 inches? Round to the nearest whole number
nalin [4]
Ball=sphere
Vsphere=pir^3
d/2=r
d=9
9/2=4.5=r
V=pi4.5^3
V=pi91.125
aprox pi=3.141592
V=286.227
round
V=286 in^3
4 0
3 years ago
A study of bone density on 5 random women at a hospital produced the following results.
IRINA_888 [86]

Answer:

- 0.9503 ; r is not statistically significant ; 0.9031

Step-by-step explanation:

Given the following :

Age (X) :

37

41

57

65

73

Bone density (Y)

355

345

340

315

310

Using the pearson R value calculator :

The r value of the data % - 0.9503.

This value depicts a very strong negative correlation between age and density of bone.

Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.

The Coefficient of determination R^2 can be obtained by getting the square value of R

R^2 = - 0.9503^2

R^2 = 0.90307009

R^2 = 0.9031

8 0
3 years ago
Please answer! I crossed out the ones you don’t have to complete.
Nina [5.8K]

Answer:

1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

5.  x^-6 = \frac{1}{x^6}

6. 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7. a^{-3}b^0c^4=\frac{c^4}{a^3}

Step-by-step explanation:

Question 1:

We need to rewrite the expression using exponents

5.a.b.b.5.c.a.b.5.b

We will first combine the like terms

5.5.5.a.a.b.b.b.b.c

Now, if we have 5.5.5 we can write it in exponent as: =5^{1+1+1}=5^3

a.a as a^{1+1}=a^2

b.b.b.b as: b^{1+1+1+1}=b^4

So, our result will be:

5^3a^2b^4c

Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get: \mathbf{5^3a^2b^4c}

Question:

Rewrite using positive exponent:

The rule used here will be: a^{-1}=\frac{1}{a^1} which states that if we need to make exponent positive, we will take it to the denominator.

Applying thee above rule for getting the answers:

5) x^{-6} = \frac{1}{x^6}

6) 5^{-3}.3^{-1}=\frac{1}{5^3.3^1}

7) a^{-3}b^0c^4=\frac{b^0c^4}{a^3}

We know that b^0=1 so, we get

a^{-3}b^0c^4=\frac{b^0c^4}{a^3}=\frac{c^4}{a^3}

4 0
3 years ago
If a is a solution of abs(x+3)&gt;4, then is a also a solution of x+3&gt;4?
Alexandra [31]

Answer:

Yes

Step-by-step explanation:

After solving for the two values of a, the second inequality gives a value inside the range of the first inequality.

7 0
3 years ago
C. The number of men in a community is 2,400. If the ratio of women to men in the community is 5:4,
Ivahew [28]

Answer:

women : men

5. : 4

x. : 2400

x = 3000

i) 3000 + 2400= 5400

ii) 3000

iii) 3000 - ( 2400+400) = 200

7 0
3 years ago
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