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3 years ago

Find 2 consecutive odd numbers between 60 and 80 which are both prime

Mathematics

2 answers:

Nikitich [7]3 years ago

8 0

67 and 77

I need 27 characters so
.............

Oduvanchick [21]3 years ago

3 0

71 and 73 are consecutive odd numbers that are both prime

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco

Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

$\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60$

$dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2$

When t=60 seconds

$N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL$

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0

2 years ago

The histogram shows the prices for six-packs of adult socks and six-packs of kid socks at a store. What is true about the variab

Agata [3.3K]

Answer:

a. There is more variability in the prices of kid socks because they have a greater range.

Step-by-step explanation:

A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.

From the histogram

Highest Number of Packs of Adult Socks = 7

Lowest Number of Packs of Adult Socks = 5

Range = 7 - 5 =2

Highest Number of Packs of Kid Socks = 7

Lowest Number of Packs of Kid Socks = 4

Range = 7-4 = 3

We conclude that there is more variability in the prices of kid socks because they have a greater range.

The correct option is A.

8 0

3 years ago

I need help pls just need answer

valentinak56 [21]

The answer I believe is x/5+2=4

6 0

2 years ago

What is the correct definition for tan 0

Reptile [31]

$tan\theta=\frac{sin\theta}{cos\theta}\\\\\\Look\ at\ the\ picture.\\\\In\ a\ right\ triangle:\\\\sin\theta=\frac{a}{c};\ cos\theta=\frac{b}{c};\ tan\theta=\frac{a}{b}\\\\\frac{sin\theta}{cos\theta}=\frac{\frac{a}{c}}{\frac{b}{c}}=\frac{a}{c}\times\frac{c}{b}=\frac{a}{b}=tan\theta$

3 0

3 years ago

You have $35 to spend on candy and soda is $0.75 each. Assume x represents the amount of candy and y is the amount of sodas purc

sukhopar [10]

<h3>Answer:</h3>

x + 0.75y = ≤ 35

<h3>Explanation:</h3>

The amount of candy purchased, plus the amount of soda purchased times the amount per soda must be less than or equal to 35.

<em>I hope this helps, let me know if it's wrong though.</em>

7 0

3 years ago