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olga nikolaevna [1]
3 years ago
8

Help: Expand -5(3n+2p+q)

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
Hi!
The answer is -15n-10p-5q
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Re-upload the photo you posted because it isnt showing up :(
4 0
3 years ago
Use ABC to find the value of cos a. 24/7 7/24 7/25 24/25
ExtremeBDS [4]

Answer:

\frac{24}{25}

Step-by-step explanation:

using the cosine ratio;

\cos(\theta)= \frac{adjacent}{hypotenuse}

From the question, the side of the right angle triangle that is adjacent to the measured <a,(i.e BAC) is AC=24 and the hypotenuse is AB=25

This implies that,

cos(a)= \frac{24}{25}

6 0
3 years ago
The table represents the change in the boiling point of water at different altitudes. Altitude (in thousands of feet) Boiling Po
Anton [14]
Answers:

1) The dependent variable is the boiling point of water and the independent variable is the altitude.

2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.

Explanation:

1) given

Table:

<span>Altitude (in thousands of feet)    Boiling Point of Water (Fahrenheit)

(sea level) 0                                212
0.5                                               211.1
1.0                                               210
2.0                                               208.4
2.5                                               207.5
3.0                                               206.6
4.0                                               204.8
4.5                                               203.9

2) The independent variable is the input of the function, and the dependent variable is the output of the function.

The input determines the output once the rule is established.

Therefore:

a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.

3) The slope of the graph would be:

                 change in the dependent variable          change in boiling point
slope = --------------------------------------------------- =  ---------------------------------
</span>                 change in the independent variable          change in altitude

Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.

If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.

If the slope is negative, means that as the altitude increase the boiling point of water decrease.

You can calculate the slope using any two pair of points (data)

              212 - 210           2
slope =---------------- =   ------- = - 2
                0 - 1            - 1

or, using other pair of points:

                204.8 - 210           -5.2             
slope = --------------------- =   --------- = -2.6
                  4.0 - 2.0               2.0

As you see, the slope is not constant. So, the function is not linear.
5 0
3 years ago
Read 2 more answers
There were 200 people who voted at the Town council meeting all these people 40% voted for a new basketball court in the park ho
galben [10]

Answer:

120 people voted against building the new basketball court.

Step-by-step explanation:

if you divide 200 by 100 then you know how many people equal 1 percent of the 200. knowing that for every 2 people they are equal to 1 percent. so if you do 100 -40 you get 60. the 100 represents the 100 percent and you subtract 40 because these are the people who are voting for the basketball court. The 60 represents the percent of people who are voting against building the basketball court. then you multiply 60 by 2 and you get 120.

3 0
3 years ago
Which graph best represents the solution of the inequality y &lt; |x + 2| – 1?
ollegr [7]

Answer:

Step-by-step explanation:

4 0
3 years ago
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