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3 years ago

What integer represents the total charge of 4 protons?

Mathematics

1 answer:

Mashutka [201]3 years ago

5 0

Answer: 4

Step-by-step explanation:

Protons have a positive charge, so 4 protons would have a charge of positive 4

You might be interested in

If y varies directly as x, and y=6 as x=-1, find y for the x-value of 5

Tema [17]

Answer:

$y=-30$

Step-by-step explanation:

we are given

y varies directly as x

so, we can write equation as

$y=kx$

where

k is constant of proportionality

We have

at x=-1 , y=6

so, we can use it to find k

$6=k(-1)$

so, we get

$k=-6$

now, we can plug it back

$y=-6x$

now, we can plug x=5

and we get

$y=-6\times 5$

$y=-30$

6 0

3 years ago

What the equations are

strojnjashka [21]

So, first lets define our variables:

let x = the number of dimes
let y = the number of nickels

so our first equation would be x+y = 16

Since dimes are 10 cents and nickels are 5 cents the next equation would be as follows:

.10x+.05y = 1.35

now change the first equation so y = -x+16
now substitute:

.10x+.05(-x+16) = 1.35
then multiply so you get .10x+-.05x+0.8=1.35

combine like terms and you get .05x+0.8 = 1.35
then subtract 0.8 from both sides and you get .05x = 0.55 then subtract
and you get x = 11 then substitute 11 for where x should be and you should get y = 5

So, you have 11 dimes and 5 nickels

6 0

3 years ago

Directions: Set up a system of equations based on the information in the word problem and plz show work 1: The local street cart

aksik [14]

Answer:

2.5x+0.75y=933

x+y=747

Step-by-step explanation:

x= number of cheese sandwiches

y= number of soft drinks

first equation: 2.5x+0.75y=933

**this is representing the cost of the drinks and sandwiches

second equation: x+y=747

**because x and y are the NUMBER of soft drinks and sandwiches, they both have to toal up to 747.

8 0

3 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

3 0

3 years ago

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$