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Gnoma [55]
3 years ago
6

80+(-22 4/15 i need the answer

Mathematics
2 answers:
IRISSAK [1]3 years ago
7 0
The answer is 57 11/15
Troyanec [42]3 years ago
7 0

Answer:

57\dfrac{11}{15}

Step-by-step explanation:

This is the example of mixed fraction.

Solving given fraction step to step.

We get,

80+(-22\dfrac{4}{15} )\\= 80 -\dfrac{22\times15+4}{15} \\= 80-\dfrac{334}{15} \\= \dfrac{1200-334}{15}\\ =\dfrac{866}{15}\\= 57\dfrac{11}{15}

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Write an equation in point-slope form for the line that passes through (6,4) with a slope of -4
Harman [31]

Step-by-step explanation:

<u>y</u> - <u>4</u> = -4

x - 6

y - 4 = -4x + 24

y = -4x + 24 + 4

y = -4x + 28

3 0
2 years ago
A scientist is interested in the effect of time spent with parents and number of hours
gladu [14]

Answer: If X = 5, z=<u>-3</u>

If X = 37, z= <u>3.4</u>

Step-by-step explanation:

We know that the formula to find the z-score for any random variable x is given by :-

z=\dfrac{x-\mu}{\sigma}

, where \mu = Population mean

\sigma = Population standard deviation.

As per given , we have

\mu=20\\\\\sigma=5

Then , the z-score for x =5

z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3

i.e. If X = 5, z=<u>-3</u>

When x =37,then z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4

i.e. If X = 37, z= <u>3.4</u>

7 0
2 years ago
A ski patrol unit has seven members available for duty, and two of them are to be sent to rescue an injured skier. In how many w
ikadub [295]

Answer:

21

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7C2 = 21

6 0
2 years ago
Question 6
netineya [11]

Answer:

y= 84

Step-by-step explanation:

y = kx

where k is the constant

k = y/x = 91/13 = 7

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2 years ago
Find the directional derivative of f at the given point in the direction indicated by the angle θ.
anygoal [31]

Answer:

Directional derivative = 1/√2

Step-by-step explanation:

We are given f(x, y) = y cos(xy)

Now, we know that;

∇f(x, y) = ycos xy

Thus, applying that to the question, we have;

∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]

At coordinates (0,1),we now have;

∇f(0, 1) = [-1²•sin0, (cos 0) - 0]

∇f(0, 1) = [0, 1]

Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]

From the question, since θ = π/4, thus

u = [cos π/4, sin π/4]

Cos π/4 in surd form is; 1/√2

Also, sin π/4 in surd form is; 1/√2

So, u = [1/√2, 1/√2]

Directional derivative = [∇f(0, 1)] • u

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4 0
2 years ago
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