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3 years ago

6

Ralph notice that there were 15 girls and 10 boys in his math class. What is the relationship between the number of boys and gir

ls in Ralphs math class? Write two equivalent ratios

1 answer:

Firdavs [7]3 years ago

7 0

Equivalent ratios are 15:10 and 3:2.

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Write the explicit formula for the geometric sequence. Then find the fifth term in the sequence.

mr_godi [17]

The sequence: a 1 = - 4, a 2 = 8, a 3 = -16,...
a 2 = a 1 * r
8 = - 4 * r
r = 8 : ( - 4 )
r = - 2
a n = a 1 * r^(n-1)
a 5 = - 4 * ( - 2 ) ^4 = - 4 * 16 = - 64
Answer:
The fifth term in the sequence is - 64.

6 0

3 years ago

Read 2 more answers

A tennis player keeps track of the number of successful first serves he makes. During the first 8 service points of a game, only

Andru [333]

Answer:

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

Step-by-step explanation:

After n consecutive serves, his total number of serves is going to be n+8, since he has already served 8 times. In the best case, his number of successful first serves is n+2.

His percentage of succesful first serves is the division of the number of succesful first serves divided by the total number of serves. So

$P = \frac{n+2}{n+8}$

We want $P = 0.60$ . So

$0.6 = \frac{n+2}{n+8}$

$n+2 = 0.6*(n+8)$

$n + 2 = 0.6n + 4.8$

$n - 0.6n = 4.8 - 2$

$0.4n = 2.8$

$n = \frac{2.8}{0.4}$

$n = 7$

He needs 7 more consecutive successful first serves to raise his first serve percentage to 60%.

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3 years ago

Abraham is taking his mother out to a restaurant for a mother's day dinner . He orders a meal that cost \$12 and his mom orders

White raven [17]

Answer:

$38.26

Step-by-step explanation:

add the amounts together and multiply by 0.075 and 0.15 add these answers to the original amount

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3 years ago

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Elza [17]

Answer:

$L(t)=7600e^{0.2273t}$

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

$P=P_oe^{rt}$

Where:

$P$ is the population after t days.
$P_o$ is the initial population given as 7600
$r$ is the rate of growth
$t$ is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

$P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}$

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3 years ago

The average weight of an adult blue whale is 365.000 pounds. Which expression represents this weight in scientific notation? A)

Elina [12.6K]

The answer is 3.65 x 10^5

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2 years ago