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ANEK [815]
3 years ago
7

I need help please and thank you

Mathematics
2 answers:
Amanda [17]3 years ago
8 0

Answer:

-2,400

Step-by-step explanation:

since they are in parentheses u multiple them together. a positive number × a negative number is a negative number.

Salsk061 [2.6K]3 years ago
8 0

Answer:

-2,480

Step-by-step explanation:

(31)(-80)

= -2,480

plus × minus = minus

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WITCHER [35]

Answer: The radii of atomic nuclei are of the order of 50×10^-15 to the negative 15th power.

4 0
2 years ago
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Rina8888 [55]
To solve this we are going to use the formula for speed: S= \frac{d}{t}
where
S is the speed
d is the distance 
t is the time 

Let S_{l} be the speed of the boat in the lake, S_{a} the speed of the boat in the river, t_{l} the time of the boat in the lake, and t_{a} the time of the boat in the river. 

We know for our problem that <span>the current of the river is 2 km/hour, so the speed of the boat in the river will be the speed of the boat in the lake minus 2km/hour:
</span>S_{a}=S_{l}-2
We also know that in the lake the boat<span> sailed for 1 hour longer than it sailed in the river, so:
</span>t_{l}=t_{a}+1
<span>
Now, we can set up our equations.
Speed of the boat traveling in the river:
</span>S_{a}= \frac{6}{t_{a} }
But we know that S_{a}=S_{l}-2, so:
S_{l}-2= \frac{6}{t_{a} } equation (1)

Speed of the boat traveling in the lake:
S_{l}= \frac{15}{t_{l} }
But we know that t_{l}=t_{a}+1, so:
S_{l}= \frac{15}{t_{a}+1} equation (2)

Solving for t_{a} in equation (1):
S_{l}-2= \frac{6}{t_{a} }
t_{a}= \frac{6}{S_{l}-2} equation (3)

Solving for t_{a} in equation (2):
S_{l}= \frac{15}{t_{a}+1}
t_{a}+1= \frac{15}{S_{l}}
t_{a}=\frac{15}{S_{l}}-1
t_{a}= \frac{15-S_{l}}{S_{l}} equation (4)

Replacing equation (4) in equation (3):
t_{a}= \frac{6}{S_{l}-2}
\frac{15-S_{l}}{S_{l}}=\frac{6}{S_{l}-2}

Solving for S_{l}:
\frac{15-S_{l}}{S_{l}}=\frac{6}{S_{l}-2}
(15-S_{l})(S_{l}-2)=6S_{l}
15S_{l}-30-S_{l}^2+2S_{l}=6S_{l}
S_{l}^2-11S_{l}+30=0
(S_{l}-6)(S_{l}-5)=0
S_{l}=6 or S_{l}=5

We can conclude that the speed of the boat traveling in the lake was either 6 km/hour or 5 km/hour.
3 0
4 years ago
Write the equation in point slope form for the line that contains the points (-2,-3), (4,3)
Minchanka [31]

Answer:

y + 3 = 1 ⋅ (x + 2).

Step-by-step explanation:

Find the equation using point-slope formula.

Slope-intercept form:

y = x − 1

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5 0
3 years ago
Fill in the blanks to make an arithmetic sequence
Arlecino [84]
-----------------------------------------
General Equation:
-----------------------------------------
T_n = a_1 + d(n - 1)

-----------------------------------------
Find d :
-----------------------------------------
a_1 = 11, T_7 = 79,
T_7 = 11 + d(7 - 1)
-79 = 11 + 6d
6d = -79 - 11
6d = -90
d = -15

-----------------------------------------
Find general equation :
-----------------------------------------
T_n = 11 + (-15)(n - 1)
T_n = 11 -15n + 15
T_n = 26 -15n

-----------------------------------------
Find the sequence :
-----------------------------------------
T_1 = 26 - 15(1) = 11
T_2 = 26 - 15(2) = -4
T_3 = 26 - 15(3) = -19
T_4 = 26 - 15(4) = -34
T_5 = 26 - 15(5) = -49
T_6 = 26 - 15(6) = -64
T_7 = 26 - 15(7) = -79

---------------------------------------------------------
Answer: 11, -4, -19, -34, -49, -64, -79
---------------------------------------------------------

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3 years ago
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