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solong [7]
4 years ago
9

Given that x=<4,1,5> and y=<11,2,-6> find x•y

Mathematics
1 answer:
finlep [7]4 years ago
7 0

Answer: 12

==============================

Explanation:

Multiply the corresponding coordinates of the vectors

4*11 = 44

1*2 = 2

5*(-6) = -30

Then add up the results: 44+2+(-30) = 42-30 = 12

The dot product of two vectors is always a scalar value.

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a rectangular prism has a length of 2 3/4 feet, a width of 4 1/2 feet, and a height of 6 inches. what is the volume of the prism
Nataliya [291]

Answer:

10692 cubic inches

Step-by-step explanation:

Since we are told to give the units in inches, let's convert the two values which are in feet.

1 ft= 12 inches

thus,

length 2.75 ft. = 33inch

breadth 4.5 ft. = 54 inch

and height is 6 inches.

Volume of a cube= length × width × height

                            = 33 × 54 × 6

                             = 10692 cubic inches

7 0
3 years ago
the school cafeteria has 283 cartons of juice in stock. each day a total of 60 cartons are sold. what equation is a function rul
Temka [501]
Your equation would be 60x=283
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4 0
4 years ago
The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x +
Ulleksa [173]

Answer:

Width is 5 and length is 7

Step-by-step explanation:

You can solve the equation using the distributive property and inverse operations.

2x +2(x+2)=24

2x + 2x + 4 = 24

4x + 4 = 24

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X = 5

This means the width is 5 and the length is 7.

8 0
3 years ago
How does knowing multiplication rules help solve problems faster and easier
KengaRu [80]

Answer: It helps because you already know it off the top of your head and you are able to break up a multiplication problem step by step in your head.

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charge
kakasveta [241]

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

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Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29

5 0
3 years ago
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