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2 years ago

Find the dot product, a • b. a = 6i + 5j, b = -5i + 4j

Mathematics

2 answers:

zysi [14]2 years ago

4 0

If i is a normal variable: then it is -30i^2 - i*j + 20j^2

If i is the constant i, then it is 20j^2 -i*j + 30

Readme [11.4K]2 years ago

4 0

Answer:

the answer is -10

You might be interested in

What is the asymptote for the graph of this logarithmic function?<br><br> f(x) = log3(x – 1)

Pepsi [2]

Answer:

Vertical Asymptote:

$x=1$

Horizontal asymptote:

it does not exist

Step-by-step explanation:

we are given

$f(x)=log_3(x-1)$

Vertical asymptote:

we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf

we know that any log becomes -inf when value inside log is zero

so, we can set value inside log to zero

and then we can solve for x

$x-1=0$

we get

$x=1$

Horizontal asymptote:

we know that

horizontal asymptote is a value of y when x is +inf or -inf

For finding horizontal asymptote , we find lim x-->inf or -inf

$\lim_{x \to \infty} f(x)= \lim_{x \to \infty}log_3(x-1)$

$\lim_{x \to \infty} f(x)=log_3(\infty-1)$

$\lim_{x \to \infty} f(x)=undefined$

so, it does not exist

7 0

3 years ago

Read 2 more answers

The price was 448 dollars, went on sale for 398 dollars, what was the discount as a percent and savings in dollars and cents.

Annette [7]

11% discount
$49.28 savings

5 0

3 years ago

The formula for the nth term of an arithmetic sequence can be found using the formula a Subscript n Baseline = a Subscript 1 Bas

Gnoma [55]

The equation of nth term will be written as for n as will be ( $\rm a_n$ - a₁ + d) / d. Then the correct option is D.

The missing options are attached to the picture given below.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The formula for the nth term of an arithmetic sequence can be found using the formula given below.

$\rm a_n = a_1 + (n-1)d$

Then arrange the equation for n, we have

$\begin{aligned} \rm a_n - a_1 & \rm = nd - d\\\\\rm a_n - a_1 + d & \rm =nd\\\\\rm n & \rm = \dfrac{a_n - a_1 + d}{d} \end{aligned}$

Then the correct option is D.

More about the sequence link is given below.

brainly.com/question/21961097

#SPJ1

6 0

1 year ago

Priya has picked 1 1/2 cups of raspberries which is enough for 3/4 of the cake how many cups does she need for the whole cake

Zina [86]

Answer:

So Priya need $2$ cups of raspberries for the whole cake.

Step-by-step explanation:

Given data;

$1\frac{1}{2}=\frac{3}{2}$ cups of raspberries which is enough for $\frac{3}{4}$ of the cake.

For making $\frac{3}{4}$ of the cake need $\frac{3}{2}$ cups of raspberries.

For making $1$ cake need $\frac{\frac{3}{2}}{\frac{3}{4}}$ cups of raspberries.

For making $1$ cake need $\frac{3}{2} \times \frac{4}{3}=2$ cups of raspberries.

∴ Priya need $2$ cups of raspberries for the whole cake.

3 0

2 years ago

In order, range, median, mode and mean. Round the mean to the nearest tenth.<br> PLS HELP ASAP

Crazy boy [7]

Answer:

Range: 40

Median: 55

Mode: 72

Mean: 54.6

Step-by-step explanation:

First, let's put all of the numbers down.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Now, to find the range, subtract 72 - 32 = 40

To find the median, find the number in the middle

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.

To find the mode, look for the number that appears the most.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

To find the mean, add everything up.

32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764

Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.

I hope that this helps, and you have a great day! :)

3 0

3 years ago