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3 years ago

1. If Jose says that 75% of his class of 28 students

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

C. 21 kids ride the bus

yarga [219]3 years ago

5 0

Answer : C .21
75% of 28
Convert the percent to a decimal
75/100=0.75
0.75(28)
21
answer: C

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The temperature inside a certain industrial machine at time t seconds after startup, for 0 < t < 10, is given by h(t) = 42

frutty [35]

Answer:

$t= \frac{125}{38} s$

Step-by-step explanation:

We are given the temperature inside the machine from startup until 10 seconds later, the formula is:

$h(t)= 42 \cdot t +1 - 4\cdot t +2 (degrees \, C)$

We want to know at what time t the temperature inside the machine will be equal to 128 °C.

So we set:

$h(t)=128$

$42\cdot t+1-4\cdot t+2=128$

Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side

$42\cdot t-4\cdot t=128-1-2$

and we simplify:

$(42-4)\cdot t= 128-2-1= 125$

$38 \cdot t = 125$

now it's easy to solve for t:

$t=\frac{125}{38}$

And thus we arrive to the solution.

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3 years ago

Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is the trian

Pachacha [2.7K]

Answer:

m=1/300 du

Step-by-step explanation:

we have that m=∫∫rho(x,y)dA for this we must find the limits of integration (according to the graph1)

On the x axis: if y=2x and x+2y=1 then y=2x and y=(1-x)/2 ⇒ 2x=(1-x)/2 ⇒ 4x=1-x ⇒ 5x=1 ⇒ x=1/5; on the y axis y=0 and y=1/2

m=∫∫rho(x,y)dA (view the graph 2)

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3 years ago

Complete the pattern. 14, 22, 30, _, _, _

Rina8888 [55]

38, 46, 54
(It goes up by 8’s)

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3 years ago

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Two consecutive odd negative integers have a product of 483, find the integers ...?

irinina [24]

In order to find this you need to assume that they are declared as X and as X + 2. This makes the formula for calculating it x (x+2)=483, and this, based on the formulas for calculation, equals

x^2+2x-83=0

From this we can see that a negative X is -23, which when +2 is added results in -21.

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3 years ago

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If S is countable and nonempty, prove their exist a surjection g: N --> S

aleksley [76]

Answer with Step-by-step explanation:

We are given S be any set which is countable and nonempty.

We have to prove that their exist a surjection g:N $\rightarrow S$

Surjection: It is also called onto function .When cardinality of domain set is greater than or equal to cardinality of range set then the function is onto

Cardinality of natural numbers set = $\chi_0$ ( Aleph naught)

There are two cases

1.S is finite nonempty set

2.S is countably infinite set

1.When S is finite set and nonempty set

Then cardinality of set S is any constant number which is less than the cardinality of set of natura number

Therefore, their exist a surjection from N to S.

2.When S is countably infinite set and cardinality with aleph naught

Then cardinality of set S is equal to cardinality of set of natural .Therefore, their exist a surjection from N to S.

Hence, proved

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3 years ago