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2 years ago

Figure out the question

Mathematics

1 answer:

valentina_108 [34]2 years ago

3 0

Answer part A:

-6°F

Answer part B:

-7,5°F

Step-by-step explanation:

A: 7-13= -6
B: 11-5= 6 ==> 6*(-1,25)= - 7,5

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There are 25boys and 15girls in a class.if a student is picked at random .what is the probability that the student is a girl

emmasim [6.3K]

Answer:

Step-by-step explanation:

Total Students in Class = 25+ 15=40

Probability= (Number of Girls in Class) ÷ (Total students in Class)

Probability of girl= 15 ÷ 40 = 0.375

7 0

3 years ago

1) Complete the sentences to explain how to multiply 4.56 x 1,000.

S_A_V [24]

Answer:

The decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

Step-by-step explanation:

Multiplication of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the right.

Division of a decimal by the nth power of 10:

In this case, the decimal point should be moved n units to the left.

In this question:

We multiply the decimal 4.56 by 1000.

1000 is the 3rd power of 10, because $10^3 = 1000$ . So the decimal point should be moved 3 units to the right, and the result of the multiplication is 4560.

4 0

3 years ago

Do You KNOW HOW?

ollegr [7]

Answer:

The type of association between x and y are inversely proportional

Step-by-step explanation:

Solution:

Here the x value increase, the y value decrease which implies that x is inversely proportional to y

I hope this helps.

3 0

3 years ago

Read 2 more answers

The table shows the mass of a substance decreasing over a period of time during a chemical experiment.

Vlad1618 [11]

So from a table, we want to find an equation that models the mass as a function of time, we will get the equation:

M(t) = 0.02*t^2 - 2.42*t + 99.57

And with that equation, we will find that the mass after 11 seconds is 75 grams.

From the table we have the points:

(2, 94.8)

(5, 87.9)

(8, 81.3)

And we know that this follows a quadratic model, then we have:

M(t) = a*t^2 + b*t + c

Notice that from the known points, we have 3 equations:

94.8 = a*2^2 + b*2 + c

87.9 = a*5^2 + b*5 + c

81.3 = a*8^2 + b*8 + c

So we have a system of equations, we can simplify the equations to get:

94.8 = a*4 + b*2 + c

87.9 = a*25 + b*5 + c

81.3 = a*64 + b*8 + c

To solve this, we start by isolating one of the variables in one of the equations, let's isolate c in the first one.

c = 94.8 - a*4 - b*2

now we replace this in the other two equations to get:

87.9 = a*25 + b*5 + (94.8 - a*4 - b*2)

81.3 = a*64 + b*8 + ( 94.8 - a*4 - b*2)

Now we simplify these two equations to get:

-6.9 = a*21 + b*3

-13.5 = a*60 + b*6

Now we do the same thing, I will isolate b in the first equation:

b = (-6.9 - a*21)/3 = -2.3 - a*7

Now we replace this in the other equation:

-13.5 = a*60 + (-2.3 - a*7)*6

Now we can just solve this for a:

-13.5 = a*(60 - 7*6) - 2.3*6

0.3 = a*18

0.3/18 = a = 0.016

Wich can be rounded to:

a = 0.02

Then the value of b is:

b = -2.3 - a*7 = -2.3 - 0.016*7 = -2.42

And the value of c is:

c = 94.8 - a*4 - b*2 = 94.8 - 0.016*4 - (-2.42)*2 = 99.57

So the equation is:

M(t) = 0.02*t^2 - 2.42*t + 99.57

Now we can evaluate this in t = 11s to get:

M(11) = 0.02*11^2 - 2.42*11 + 99.57 = 75.37

Wich can be rounded to 75 grams.

If you want to learn more, you can read:

brainly.com/question/20067450

4 0

3 years ago

write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the poin

Burka [1]

Answer:

$y=\frac{2}{3}x-\frac{16}{3}$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,5) and (-4,8)

substitute the values in the formula

$m=\frac{8-5}{-4+2}$

$m=\frac{3}{-2}$

$m=-\frac{3}{2}$

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

$m_1=-\frac{3}{2}$ ----> slope of the given line

therefore

$m_2=\frac{2}{3}$ ---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{3}$

$point\ (-1,-6)$

substitute

$y+6=\frac{2}{3}(x+1)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y+6=\frac{2}{3}x+\frac{2}{3}$

$y=\frac{2}{3}x+\frac{2}{3}-6$

$y=\frac{2}{3}x-\frac{16}{3}$

4 0

3 years ago