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chubhunter [2.5K]
3 years ago
15

Find an ordered pair to represent t in the equation t = u + v if u = (-1, 4) and v = (3, -2)

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Given:

u=(-1,4)

v=(3,-2)

The equation is:

t=u+v

To find:

The ordered pair to represent t in the given equation.

Solution:

We have,

t=u+v

Substituting the given values, we get

t=(-1,4)+(3,-2)

t=((-1)+3,4+(-2))

t=(-1+3,4-2)

t=(2,2)

Therefore, the ordered pair to represent t in the given equation is (2,2).

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What Force would be needed to extend a spring with a spring constant k=7 N/m that extends<br>0.3m?​
vladimir2022 [97]

Answer:

Force  =  - 2.1 Newton

Step-by-step explanation:

According to question ,

The value of Spring constant , K = 7  N/m   Newton per meter

And the spring is extended up to 0.3 meter

The Force experience on the spring is calculated from the Hook's Law

<u>The principal state that , the force applied on spring to extend or compress the spring to some distance is proportion to that distance. </u>

Let the force be F

So, F =  - K X

where K is spring constant and X is its displacement

Negative sign shows displacement of spring once it is stretched

And K is spring constant

So ,Force = ( - ) 7 × 0.3

I.e Force  =  - 2.1 Newton       Answer

4 0
3 years ago
How many integers between 10000 and 99999, inclusive, are divisible by 3 or<br> 5 or 7?
Yuki888 [10]

Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

Step-by-step explanation:

Since we have given that

Integers between 10000 and 99999 = 99999-10000+1=90000

n( divisible by 3) = \dfrac{90000}{3}=30000

n( divisible by 5) = \dfrac{90000}{5}=18000

n( divisible by 7) = \dfrac{90000}{7}=12857.14

n( divisible by 3 and 5) = n(3∩5)=\dfrac{90000}{15}=6000

n( divisible by 5 and 7) = n(5∩7) = \dfrac{90000}{35}=2571.42

n( divisible by 3 and 7) = n(3∩7) = \dfrac{90000}{21}=4285.71

n( divisible by 3,5 and 7) = n(3∩5∩7) = \dfrac{90000}{105}=857.14

As we know the formula,

n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)

=30000+18000+12857.14-6000-2571.42-4258.71+857.14\\\\=48884.15

Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

5 0
4 years ago
What are the like terms of 10a+4b+3a-15b
TiliK225 [7]
The like terms in 10a+4b+3a-15b consist of a and b. First, we have to combine like terms.
(10a+3a) + (4b-15b)
solve a and b
13a - 11b. Thus, the like terms in your original expression are 13a and -11b :)
3 0
4 years ago
Read 2 more answers
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
solniwko [45]

Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

P(X=6)=(0.162)

Step-by-step explanation:

From the question we are told that:

Sample size n=18

Probability P=0.267

No. that do not cover their mouth when sneezing x=6

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}

Where

x=6

Therefore

P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}

P(X=6)=(0.162)

5 0
3 years ago
What must be added to 3x-7 to make x^2+4x-1
marta [7]
3x-7+c=x^2+4x-1
find c
minus 3x from both sides
-7+c=x^2+x-1
add 7 to both sides
c=x^2+x+6

x^2+x+6 must be added
3 0
3 years ago
Read 2 more answers
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