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2 years ago

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Define dot product, inner product, cross product.

2 answers:

sattari [20]2 years ago

3 0

Answer:

Dot product. ... In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used and often called "the" inner product (or rarely projection product) of Euclidean space even though it is not the only inner product that can be defined on Euclidean space; see also inner product space.

Step-by-step explanation:

OLEGan [10]2 years ago

3 0

Yeah what they said

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Is x + 10 a factor of the function f(x) = x3 − 75x + 250? Explain.

PtichkaEL [24]

Yes. When the function f(x) = x3 – 75x + 250 is divided by x + 10, the remainder is zero. Therefore, x + 10 is a factor of f(x) = x3 – 75x + 250.

According to the remainder theorem when f(x) is divided by (x+a) the remainder is f(-a).
In this case,
f(x)=x^3-75x+250
(x+a)=(x+10)
Therefore, the remainder f(-a)=f(-10)

=x^3-75x+250
=(-10)^3-(75*-10)+250
=-1000+750+250
=1000-1000
=0.
The remainder is 0. So, (x+10) is a factor of x^3-75x+250.

8 0

3 years ago

There is 6 7/8 cups now i take 2 5/8 away how many is left ?

REY [17]

left means subtracting

6 7/8 - 2 5/8

Whole numbers subtract each other

Numerators subtract each other

The denominators stay the same.

6-2= 4

7-5=2

4 2/8

Reduce 2/8. Divide by 2. 2/2= 1, 8/2= 4

4 2/8=4 1/4

Answer: 4 2/8 = 4 1/4 cups left

3 0

3 years ago

Read 2 more answers

An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diamet

drek231 [11]

<h2>Hello!</h2>

The answer is:

The third option:

2.7 times as much.

<h2>Why?</h2>

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

$Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h$

Where,

$r=radius=\frac{diameter}{2}\\h=height$

We are given the old can dimensions:

$radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm$

So, calculating the volume, we have:

$Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}$

We have that the volume of the old can is:

$Volume_{Can}=199.7cm^{2}$

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

$radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm$

Calculating we have:

$Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}$

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

$\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7$

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

3 0

3 years ago

HELP PLEASE AND THANK YOU????!!!

TiliK225 [7]

10 coins. 70 divided by 7equals 10

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2 years ago

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8 0

3 years ago