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2 years ago

The sum of 12 and twice a number

Mathematics

2 answers:

makvit [3.9K]2 years ago

4 0

Answer:

y=12+2x

Step-by-step explanation:

goldfiish [28.3K]2 years ago

3 0

Answer:

12+2

Step-by-step explanation: you know the problem is addition the key term sum so you see 12 twice a number so you write the equation 12+2

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A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,

Alex73 [517]

Answer:

A) A(t) = 4500*π - 1600*t

B) A(4) = 7730 in³

C) t = 8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max = 30 r max = 15 in

V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³

V(s) = 4500*π

A) Amount of air needed to fill the ball A(t)

A(t) = Total max. volume of the sphere - rate of flux of air * time

A(t) = 4500*π - 1600*t in³

B) After 4 minutes

A(4) = 4500*π - 6400

A(4) = 14130 - 6400

A(4) = 7730 in³

C) A(t) = 4500*π - 1600*t

when A(t) = 0 the ball got its maximum volume then:

4500*π - 1600*t = 0

t = 14130/1600

t = 8,8 sec

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2 years ago

Please please please help me guys

Ksenya-84 [330]

The answer is A hope this helps

4 0

2 years ago

Find a in the figure below and place the value in the empty box

AleksAgata [21]

Answer:

a = 12m

Step-by-step explanation:

In order to solve this problem we will need to know the Pythagoras theorem that states that in a right angled triangle the square of the hypotenuse (the side opposite to the right angel) is equal to the sum of the squares of the other two sides. This theorem can be written as an equation....

$c^{2} = a^{2} + b^{2}$

Now we can see that we can easily find the missing value by using this theorem. We just have to substitute the values. And we get the following

$c^{2} = a^{2} + b^{2}$

$a^{2} = c^{2} - b^{2}$

$a^{2} = 15^{2} - 9^{2}$

$a^{2} = 225 - 81$

$a^{2} = 144$

$a = \sqrt{144}$

$a = 12$

7 0

2 years ago

How many times does 5 go into 709?

Sveta_85 [38]

895 times. division!

5 0

2 years ago

The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$

b) P(person is higher than 190 centimeter)

P(x > 190)

$P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)$

$= 1 - P(z \leq 1.2328)$

Calculation the value from standard normal z table, we have,

$P(x > 190) = 1 - 0.891 = 0.109 = 10.9\%$

7 0

2 years ago