Two vectors are given by a with arrow = 3 î + 6 ĵ and b with arrow = -1 î + ĵ. (a) find a with arrow ✕ b with arrow.

Ms. Gallegos burns 236 calories while riding her bike each hour. She wants to burn more than 590 calories riding her bike at the

olga2289 [7]

Answer:

T > 2.5

Explaination -

t > 2.5

t < 2.5

t > 0.4

t < 0.4

Here it is given that Gallegos burns 236 calories riding her bike each hour.

She wants to burn more than 590 calories riding her bike at the same rate.

Let the time required = t hours

So

236t > 590

⇒ t > 590/236

⇒ t > 2.5

<em>Therefore, the answer is </em> t > 2.5

7 0

3 years ago

Which formula can be used to describe the sequence?

mafiozo [28]

Answer:

The formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

Step-by-step explanation:

Given : sequence -4, −24, −144,...

We have to find the formula that can be used to describe the given sequence -4, −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as $a_n=ar^{n-1}$

Where a is first term and r is common ratio.

Consider the given sequence -4, −24, −144,...

We find the common ratio ,

$a=-4, \\\\ar=-24,\\\\\ ar^2=-144$

Thus, common ratio is given as $r=\frac{ar}{r}=\frac{-24}{-4}=6$

Thus, the given sequence is a geometric sequence.

The general term is given by $a_n=ar^{n-1}$

Put a = -4 , r = 6

We have

$a_n=-4(6)^{n-1}$

Thus, the formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

5 0

3 years ago

Read 2 more answers

The parallelogram shown below has an area of 24 units2.

Ber [7]

Answer:

9

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

Explanation:

The area of the parallelogram is equal to the base times height. The formula to use is A = b*h. The height and base are always perpendicular to one another.

The base is some unknown variable b. Multiply the base by the height 15 to get 15*b which is equal to the area 135

Therefore, 15*b = 135

Divide both sides by 15 and we isolate b

15b = 135

15b/15 = 135/15

b = 9

So the base is 9

Check:

area = base*height = 9*15 = 135

so the answer is confirmed

side note: we never use the value 17 at all. It is likely put in there as a distraction.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What does 9+6(4+4) equal

Alex

9 + 6(4 + 4)

9 + 6(8)

9 + 48 = 57

6 0

4 years ago

Read 2 more answers

There are 7 students in a class: 2 boys and 5 girls. If the teacher picks a group of 333 at random, what is the probability that

bezimeni [28]

Probability that nbr1 is a boy is p1 = 6/10.

Probability that nbr2 is a boy, given 5 boys left is 5/9

Probability that nbr3 is a boy given 4 boys left is 4/8

Probability that nbr 4 is a boy given 3 boys left is 3/7

Approximately 0.071 or 7.1%

8 0

3 years ago