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Thepotemich [5.8K]
3 years ago
9

Please help with number 3 please due today

Mathematics
1 answer:
Tcecarenko [31]3 years ago
7 0
The first one is y=125t+60
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Jack and Rock agree to meet in London for the weekend. Jack travels 164 miles and Rock travels 106 miles. If Jacks rate of speed
masya89 [10]
v=\frac{s}{t}\\\\v-velocity;\ s-distance;\ t-time\\\\v=\frac{s}{t}\to vt=s\to t=\frac{s}{v}\\---------------------\\v-Rock's\ veloocity\ (mph)\\v+8-Jack's\ velocity\ (mph)\\s_J=164\ mi-Jack's\ distance\\s_R=106\ mi-Rock's\ distance\\t_J=t_R-times\ are\ equal\\\\therefore:\frac{s_R}{v}=\frac{s_J}{v+8}\\\\subtitute\ values\ of\ distance:

\frac{106}{v}=\frac{164}{v+8}\ \ \ \ |cross\ multiply\\\\106(v+8)=164v\\\\106v+848=164v\ \ \ \ |subtract\ 106v\ from\ both\ sides\\\\848=58v\to 58v=848\ \ \ |divide\ btoh\ sides\ by\ 58\\\\v\approx14.6\ (mph)\\\\Answer:\boxed{v+8=(14.6+8)mph=22.6\ mph}
8 0
4 years ago
ANSWER QUESTION PLEASE!!
Fynjy0 [20]

Answer:

W = 2t + 8

Step-by-step explanation:

weight from birth plus number of months times 2 equals your total weight.

5 0
3 years ago
given two terms in a geometric sequence find the 8th term and the recursive formula . a4=-12 and a5=-6
Crazy boy [7]

A geometric sequence is defined by a starting point, a, and a common ratio r

The first term is a, and you get every next term by multiplying the previous one by r.

So, our terms are

\left[\begin{array}{c|c}a_1&a\\a_2&ar\\a_3&ar^2\\a_4&ar^3=-12\\a_5&ar^4=-6\end{array}\right]

We can see that when we pass from a_4 to a_5 the number gets halved (-12 \mapsto -6)

This implies that the common ratio is r = \frac{1}{2}

So, the table becomes

\left[\begin{array}{c|c}a_1&a\\a_2&\frac{1}{2}a\\a_3&\frac{1}{4}a\\a_4&\frac{1}{8}a=-12\\a_5&\frac{1}{16}a=-6\end{array}\right]

So, we can derive the starting point from either a_4 or a_5:

\dfrac{1}{8}a = -12 \iff a = -12\cdot 8 = -96

The sequence is thus

\left[\begin{array}{c|c}a_1&-96\\a_2&-48\\a_3&-24\\a_4&-12\\a_5&-6\\a_6&-3\\\vdots&\vdots\end{array}\right]

And the recursive formula is

a_n = -\dfrac{96}{2^{n-1}}

7 0
4 years ago
Complete the equation to show that 4.2÷0.35 is equal to 420÷35.
Alex

Answer:

12=12

Step-by-step explanation:

4.2÷0.35=420÷35

12=12

12-12=0

0=0

4 0
3 years ago
Evaluate inverse functions PLEASE HELPPP!!!
dalvyx [7]
Use photomath its are helpful
3 0
4 years ago
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