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34kurt
2 years ago
11

Julisha poured 0.9 liter of water into an

Mathematics
1 answer:
qaws [65]2 years ago
8 0

Answer:

Step-by-step explanation:

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How do identify the parts of a circle?
Westkost [7]
The length around the circle is called the circumference, the length aross the circle is the diameter and half of that is called the radius.
5 0
3 years ago
At what point on the parabola y = 3x^2 + 2x is the tangent line parallel to the line<br> y = 10x −2?
oksian1 [2.3K]

Answer:

( \frac{4}{3} , 8 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 10x - 2 ← is in slope- intercept form

with slope m = 10

Parallel lines have equal slopes

then the tangent to the parabola with a slope of 10 is required.

the slope of the tangent at any point on the parabola is \frac{dy}{dx}

differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1} , then

\frac{dy}{dx} = 6x + 2

equating this to 10 gives

6x + 2 = 10 ( subtract 2 from both sides )

6x = 8 ( divide both sides by 6 )

x = \frac{8}{6} = \frac{4}{3}

substitute this value into the equation of the parabola for corresponding y- coordinate.

y = 3(\frac{4}{3} )² + 2

   = (3 × \frac{16}{9} ) + 2

   = \frac{16}{3} + \frac{8}{3}

   = \frac{24}{3}

   = 8

the point on the parabola with tangent parallel to y = 10x - 2 is ( \frac{4}{3} , 8 )

3 0
2 years ago
(05.01) Which statement best describes the area of the triangle shown below?​
alukav5142 [94]

Answer:

A

Step-by-step explanation:

Area of a triangle:

A=\frac{b*h}{2}

In our case:

b=4

h=2

Plug in what we know:

A=\frac{(4)(2)}{2} \\A=4units

Find the matching solution:

A.) it is 1/2 the area of a rectangle of length 4 units and width 2 units

X B.) it is twice the area of a rectangle of length 4 units and width two units

X C.) it is 1/2 the area of a square of side length 4 units

X D.) it is twice the area of a square of side length 4 units

6 0
2 years ago
The board of a large company is made up of 7 women and 9 men. 6 of them will go as a delegation to a national conference.
Burka [1]

Answer:

a) 5765760

b) 60480

c) 5705280

Step-by-step explanation:

Assuming that order is not important:

Number of women = 7

Number of men = 9

Members of the delegation = 6

a) How many delegations are possible?

n=\frac{16!}{(16-6)!}=16*15*14*13*12*11\\ n= 5765760

b) How many of these delegations have all men?

n_{men} = \frac{9!}{(9-6)!}=9*8*7*6*5*4  \\n_{men} = 60480

c) How many of these delegations have at least one woman?

n_{women >0}=n-n_{men}\\n_{women >0} =5765760-60480\\n_{women >0} =5705280

4 0
3 years ago
Find the mean and mode for this set of data. 5,6,8,3,5,7,4,11,5,7
katrin [286]

The mode is what number occurs most often. So in this set, the number that occurs most often is 5.

Mode = 5

The mean is the average of all the numbers in the set. To find the average of numbers, you add them all up then divide by how many numbers there are in the set. 5 + 6 + 8 + 3 + 5 + 7 + 4 + 11 + 5 + 7 = 61. 61 divided by 10 = 6.1 The answer is 6.1

Mean = 6.1

Good luck, my guy!

3 0
3 years ago
Read 2 more answers
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