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stich3 [128]
3 years ago
8

Help me with this math problem plz

Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

THe answer is 6.25x+12=30.75

Step-by-step explanation:

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec
vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}

Hence, we have:

\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

\begin{gathered} ar\text{ =  18} \\ a\text{ }\times\text{ 2 =  18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}

Hence, the explicit rule for the sequence is:

a_n\text{ = 9\lparen2\rparen}^{n-1}

5 0
2 years ago
Write the equation in standard form of a circle with center (-7,2), tangent to the y-axis.
Vesna [10]

Answer:

(x+7)^2+(y-2)^2=7^2

Step-by-step explanation:

Tangent to y-axis means that the side of the circle TOUCHES the y axis.

Since the center is at (-7,2) and it touches the y axis, we can figure out the radius. It goes from (-7,2) to y-axis. Horizontally, the center is 7 units left of y-axis, so that is the radius -----  7 units

The standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where

(h,k) is the center

r is the radius

Putting the information into the form, we have:

(x-h)^2+(y-k)^2=r^2\\(x-(-7))^2+(y-(2))^2=7^2\\(x+7)^2+(y-2)^2=7^2

THis is the standard form.

7 0
3 years ago
6 lb 3 oz − 1 lb 4 oz
Wewaii [24]

Answer:

4.9375 lbs

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help I only have 15 minutes to complete this last one
Natalka [10]

Answer:

the slope of MN= -5-1/3-(-6)=-2/3

two lines are parallel>> slopes are equal

equation of line = (y-y'=m(x-x'))

therefore, y-1= -2/3(x-6)

y-1 = -2/3x + 4

y+2/3x=5

6 0
3 years ago
What is the best buy for the following advertise sale on pop A(eight cans for $4.88 B(10 cans for $5.80 or C(3 cans for d cans f
bezimeni [28]
I’d say B.

Cause you can get 10 cans of pop for only 92 cents more.
If this helped mark me brainliest please!!
4 0
3 years ago
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