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Slav-nsk [51]
3 years ago
10

Determine the intercepts of the line.

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0

Answer:

x intercept: (3/2,0)

y intercept: (0,-3)

Step-by-step explanation:

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The fish tank in Paul's bedroom has a pump that will recirculate 75 gallons of water in 1/4 of an hour. Find the unit rate in ga
m_a_m_a [10]
We know that
(1/4) hour---------> 0.25 hour
if the pump r<span>ecirculate 75 gallons of water in -------------> 0.25  hour
 X </span>gallons of water in-----------------------------------------> 1 hour

X=75/0.25----------> x=300 gallons /hour

the answer is 300 gallons /hour
6 0
3 years ago
I need help with this question
Dimas [21]

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x   x- mean    (x-mean)²

10     -17.5          306.25

18      -9.5            90.25

25     -2.5              6.25

27     -0.5              0.25

35      7.5            56.25

50   22.5          506.25

      _____      ________

sum     0             965.5

       _____     _________

standard deviation

=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896

4 0
2 years ago
The diagrams shows a 3cm x 5cm x 4cm cuboid.
Vera_Pavlovna [14]

Answer:

a) 5.83 cm

b) 34.45°

Step-by-step explanation:

a) From Pythagoras theorem of right triangles, given right triangle ABC:

AB² + BC² = AC²

Therefore:

AC² = 5² + 3²

AC² = 25 + 9 = 34

AC = √34

AC = 5.83 cm

b) From triangle ACD, AC = 5.83 cm, AD = 4 cm and ∠A = 90°.  

From Pythagoras theorem of right triangles, given right triangle ACD:

AD² + AC² = DC²

Therefore:

DC² = 5.83² + 4²

DC² = 34 + 16 = 50

DC = √50

DC = 7.07 cm

Let ∠ACD be x. Therefore using sine rule:

\frac{4}{sin(x)}=\frac{7.07}{sin(90)} \\ sin(x)=\frac{4*sin(90))}{7.07}=0.5657\\ x=sin^{-1}(0.5657)\\x=34.45^o

6 0
3 years ago
Mr. McDonald finds the lower the price of hamburgers in his restaurant, the more hamburgers he sells. This relationship can best
Alla [95]

Answer:

Negative linear relation

Step-by-step explanation:

When one variable increases (the price)  while the other variable decreases (the number of hamburgers he sells) , a negative linear relationship exists.

The photo below may help you.

6 0
3 years ago
HELP PLEASE: Which is the equation of the graphed line written in
maksim [4K]

Answer:

x - y = 0

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

(x_1,y_1) = (0,0)

(x_2,y_2) = (1,1)

The slope of the graph is:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{1-0}{1-0}

m = \frac{1}{1}

m =1

So, the graph equation is:

y = m(x - x_1) + y_1

y = 1 * (x - 0) + 0

y = 1 * x

y = x

In standard form, we have:

x - y = 0

6 0
3 years ago
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