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Tomtit [17]
2 years ago
12

Find the inner product for (7, 2) * (0, -2) and state whether the vectors are perpendicular.

Mathematics
2 answers:
Kryger [21]2 years ago
5 0

Answer:

a) -4, no

Step-by-step explanation:

a•b = (x1 × x2) + (y1 × y2)

= (7 × 0) + (2 × -2)

= 0 - 4

= -4

Hence they are not Perpendicular

Andrews [41]2 years ago
3 0

Answer: A

Step-by-step explanation:

To find the inner product of two vectors (a,b) and (c,d) you would use the equation (a * c) + (b * d)

So for (7,2) and (0,-2) the inner product would be

(7 * 0) + (2 * -2)

= 4

The vectors are only perpendicular when the inner product is equal to 0. Since it is equal to -4 in this case, the vectors are not perpendicular.

A -4; no

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Stella [2.4K]

Answer:

See below

Step-by-step explanation:

You know that he spent 1/3 of his earnings, and then 1/4. After this, he has $28.90. You can write the equation like this:

1/4(x * 1/3) = $28.90.

If you need to solve it:

1/4 * 1/3x = 28.90

1/12x = 28.90

x = 346.80

8 0
3 years ago
Does this graph show a function?explain how you know.
DiKsa [7]
The answer is B! It passes the vertical line test
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3 years ago
The sphere area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for pi. Round y
julsineya [31]

We are given

area of sphere is 200.96cm^2

it means that we are given surface area

so, we can use surface area formula

S=4\pi r^2

where S is surface area

r is radius

so, firstly we need to find radius or r

200.96=4\pi r^2

we can solve for r

r=3.9989cm

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V=\frac{4}{3} \pi r^3

we can plug r

V=\frac{4}{3} \pi (3.9989)^3

now, we can find volume

V=267.86cm^3.............Answer

7 0
3 years ago
An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows
Vlada [557]

<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

  • where m = slope of the relation.

  • and c = <em>intercept = the initial fee charged by the electric company</em>.

  • y = <em>Monthly charge at each time</em>.

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To find the slope;

  • m = (y2 - y1)/(X2 - x1)

  • m = (28 -22)/(150 - 100)

  • m = 6/50

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By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

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  • C = 82 -72

  • C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0
2 years ago
Corey spent 25% of his savings on a printer at Louie’s Electronics.
KengaRu [80]
Let c represent the original amount that this guy had saved up.

He spent 25% of this amount, or 0.25c, on the printer. 

To progress further, we have to know how much the printer cost.

Supposing that the printer cost $100 (which we do not know as a fact), this would be equal to 0.25c.

Thus, his savings originally amounted to c = $100/0.25 = $400.
7 0
2 years ago
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