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valina [46]
3 years ago
8

The Pave the Way Company is installing a new walkway. The installer uses 13 paving stones for every foot of walkway. He needs 11

7 paving stones to complete the project and used 78 paving stones so far. How many more feet of paving stones will he need to install to finish?
Mathematics
1 answer:
Vladimir [108]3 years ago
3 0
Hey There!

The answer would be 3 Feet!

Solution-

1) 117-78= 39

2) One foot is 13 paving stones.

3)39/13= 3 feet

Thus, your answer is 3 feet

Thank You!
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lines a and b are represented by the equations given below: line a: 6x 6y = 24 line b: x y = 4 which statement is true about the
KIM [24]
The equation of line a is obtained by multiplying the equation of line b by 4. i.e. there are linearly dependent and hence there are infinitely many solutions to the set of equations.
6 0
3 years ago
NO LINKS!!! Find the measurement indicated. Round your answer to the nearest tenth.<br><br>​
My name is Ann [436]

Answer:

<u>Solutions given;</u>

<u>Using cosine rule</u>

b²=a²+c²-2*a*c*cos B°

b²=15²+8²-2*15*8*cos39

b²=102.48

b=\sqrt{102.48}

b=10.12

b=10.1

<u>Using sine rule</u>

\frac{sin A}{BC} = \frac{sin B}{AC}  =\frac{sin C}{AB}

\frac{sin 29°}{15}  =\frac{sin C}{8}

<u>Doing criss cross multiplication</u>

Sin C=\frac{sin 29°}{15} ×8

m<C=Sin -¹(0.29)

m<C=14.98

<u>m<C=15°</u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

4 0
2 years ago
f f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x))? On a coordinate plane, a
kvasek [131]

Answer:

5555.

Step-by-step explanation:

5555

7 0
2 years ago
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 6x(1/3) + 3x(4/3). You must justi
stealth61 [152]
Applying our power rule gets us our first derivative,

\rm f'(x)=6\frac13x^{-2/3}+3\cdot\frac43x^{1/3}

simplifying a little bit,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

looking for critical points,

\rm 0=2x^{-2/3}+4x^{1/3}

We can apply more factoring.
I hope this next step isn't too confusing.
We want to factor out the smallest power of x from both terms,
and also the 2 from each.

0=2x^{-2/3}\left(1+2x\right)

When you divide x^(-2/3) out of x^(1/3),
it leaves you with x^(3/3) or simply x.

Then apply your Zero-Factor Property,

\rm 0=2x^{-2/3}\qquad\qquad\qquad 0=(1+2x)

and solve for x in each case to find your critical points.

Apply your First Derivative Test to further classify these points. You should end up finding that x=-1/2 is an relative extreme value, while x=0 is not.

Let's come back to this,

\rm f'(x)=2x^{-2/3}+4x^{1/3}

and take our second derivative.

\rm f''(x)=-\frac43x^{-5/3}+\frac43x^{-2/3}

Looking for inflection points,

\rm 0=-\frac43x^{-5/3}+\frac43x^{-2/3}

Again, pulling out the smaller power of x, and fractional part,

\rm 0=-\frac43x^{-5/3}\left(1-x\right)

And again, apply your Zero-Factor Property, setting each factor to zero and solving for x in each case. You should find that x=0 and x=1 are possible inflection points.

Applying your Second Derivative Test should verify that both points are in fact inflection points, locations where the function changes concavity.
8 0
3 years ago
A target has a bull’s-eye with a diameter of 2 inches. The outer ring is 1 inch wide. What is the area of the outer ring? A circ
Arturiano [62]

Answer:

<h2>it is option 2      3 Pi inches squared</h2>

Step-by-step explanation:

good job :)

7 0
3 years ago
Read 2 more answers
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