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tankabanditka [31]
4 years ago
5

For each table of values, select weather the table represents a linear or exponential relationship

Mathematics
1 answer:
jolli1 [7]4 years ago
8 0

Linear would be if the change between the x and y's are similar:

Function A:

9.252 - 6.083 = 3.169

14.07 - 9.252 = 4.818

21.4 - 14.07 = 7.33

The differences are different so it is exponential.

Function B

14-7 = 7

21 - 14 = 7

28 - 21 = 7

The differences are the same so this is linear.

Function C

4-16 = -12

1-4 = -3

0.25 - 1 = -0.75

The differences are different so this is exponential.

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Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the
mestny [16]

Answer:

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9

Step-by-step explanation:

Given

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Required

Determine the equivalent expression

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Simplify the first fraction

\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Apply law of indices on the first fraction;

5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}

\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}

Apply law of indices:

5q^5w^4*4\left(q^6\right)^2 * w^{5}

Evaluate the bracket

5q^5w^4*4 * q^{12} * w^{5}

Collect Like Terms

5*4q^5* q^{12}*w^4  * w^{5}

20q^5* q^{12}*w^4  * w^{5}

20q^{5+12}*w^{4+5}

20q^{17}w^9

Hence:

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9

7 0
3 years ago
yler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, w
Sidana [21]
To get which design would have maximum area we need to evaluate the area for Tyler's design. Given that the design is square, let the length= xft,  width=(120-x)
thus:
area will be:
P(x)=x(120-x)
P(x)=120x-x²
For maximum area P'(x)=0
P'(x)=120-2x=0
thus
x=60 ft
thus for maximum area x=60 ft
thus the area will be:
Area=60×60=3600 ft²
Thus we conclude that Tyler's design is the largest. Thus:
 the answer is:
<span>Tyler’s design would give the larger garden because the area would be 3,600 ft2. </span>
4 0
3 years ago
4 + 2⁵ • (8 – 6) + 3³?
zvonat [6]

Answer:

95

Step-by-step explanation:

4 +  {2}^{5}  \times (8 - 6) +  {3}^{3}  \\ 4 + 32 \times (2) + 27 \\ 4 + 64 + 27 \\ 68 + 27 = 95

4 0
3 years ago
Read 2 more answers
Which equation is a point slope form equation for line AB?
sukhopar [10]

Answer:

option 1

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(1, 6) and (x₂, y₂ ) = B(5, - 2)

m = \frac{-2-6}{5-1} = \frac{-8}{4} = - 2

Use either of the 2 points for (a, b)

Using (a, b) = (5, - 2) , then

y - (- 2) = - 2(x - 5) , that is

y + 2 = - 2(x - 5)

3 0
4 years ago
if the circumference of a circle is 52 cm, what is the radius? round to the nearest tenth. PLESE HELP I DONT HAVE THAT MUCH TIME
Step2247 [10]

Answer:

8.3

Step-by-step explanation:

<em><u>Given</u></em><em><u>, </u></em>

Circumference of the circle = 52 cm

<em><u>Therefore</u></em><em><u> </u></em><em><u>,</u></em>

<em>By</em><em> </em><em>the</em><em> </em><em>problem</em><em>, </em>

=  > 2\pi r = 52

=  > 2 \times 3.14 \times r = 52

=  > r =  \frac{52}{3.14 \times 2}

=> r = 8.2802547771

<em>Rounded</em><em> </em><em>to</em><em> </em><em>nearest</em><em> </em><em>tenth</em><em>,</em>

=> <em><u>r = 8.3 (Ans)</u></em>

5 0
3 years ago
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