Given the vectors u= <2, 1> and v= <5, 4>, determine the components of a vector represented by 2u - 3v


A.) <14, 15>

B.) <-6, -9>

C.) <-11, -10>

D.) <19, 14>

Answer: Pretty sure its the value of the expression is 11

Step-by-step explanation:

Step 1. Add and evaluate 4x and 1/3y^2

Step 2. After evaluating, add 4(2) and 1/3 (3)^2

Step 3. 8 + 1/3(9)

Step 4. 8 + 3 = 11

Step 5. Value of Expression = 11

Answer:

13

Step-by-step explanation:

Answer:

From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.

Step-by-step explanation:

The concentration monitored ar time, t > 0 is represented by :

C(t) = 30t / (t² + 2.)

At, t = 1

C(1) = 30(1) / (1 + 2) = 30/3 = 10

At t = 2

C(2) = 30(2) / (2² + 2) = 60/(4+2) = 60/6 = 10

At t = 3

C(3) = 30(3) / (3² + 2) = 90/ 11 = 8.18

At t = 4

C(4) = 30(4) / (4²+2) = 120/18 = 6.67

At t = 5

C(5) = 30(5) / (5²+2) = 150/ 27 = 5.55

At t = 10

C(10) = 30(10) / (10²+2) = 300/102 = 2.94

From the values obtained, we can see that after the initial 10mg/L values obtained in the first 1 and 2 minutes, the concentration has been dipping and it will continue to do so.

Answer:

The committee of 8 members can be selected in 990,675 different ways.

Step-by-step explanation:

The order in which the teachers and the students are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

4 teachers from a set of 6.

4 students from a set of 37.

Then

[tex]T = C_{6,4}C_{37,4} = \frac{6!}{4!2!} \times \frac{37!}{4!33!} = 990675[/tex]

The committee of 8 members can be selected in 990,675 different ways.

Answer:

y = 4x - 5

Step-by-step explanation:

for slope intercept form

y = mx + c

where m is the slop so

M = 4

point = (1, -1)

a point on the line must satisfy the equation so replacing y and x by -1 and 1 respectively to get to c.

-1 = 4 × 1 + c

-1 - 4 = c

-5 = c

placing these values in y = mx + c

y = 4x - 5

Answer:

y = 4x - 5.

Step-by-step explanation:

First write it in point-slope form:

y - y1 = m(x - x1)

y - (-1) = 4(x - 1)

y + 1 = 4x - 4

y = 4x - 4 - 1

y = 4x - 5.  <------- Slope-intercept.

Answer:6

Step-by-step explanation:

265-25

240/4

6

Answer:

60

Step-by-step explanai  o

n:

265 -25=  240

240/4=6 0

Answer:

47

Step-by-step explanation:

Answer:

hi, the answer is 47°

Step-by-step explanation:

68+135+110=313 360-313=47

Answer:

c

Step-by-step explanation:

because I have a great day and I will be in the representation

Step-by-step explanation:

7x + 12 = 6

7x=-6

x=-6/7

Don't enter into link, it contains viruses

Answer:

ans: ln (5/8) , ln5 - ln8

Step-by-step explanation:

8e^x -5 = 0

e^x = 5/8

x = ln (5/8)

x = ln5 - ln8

Answer:

1.97 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.08/2)] )

t = ln(17,500.00/15,000.00) / ( 2 × [ln(1 + 0.04)] )

t = 1.965 years

:D

9514 1404 393

Answer:

  u = -3 3/7

Step-by-step explanation:

The new value of v is 4/-7 = -4/7 of the old value. Because u varies directly, its new value will also be -4/7 of the old value.

  u = -4/7(6) = -24/7

  u = -3 3/7

Answer:

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The fracture strength of tempered glass averages 14 (measured in thousands of pounds per square inch) and has standard deviation 2.

This means that [tex]\mu = 14, \sigma = 2[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]

What is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2?

This is 1 subtracted by the p-value of Z when X = 14.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{14.2 - 14}{0.2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

1 - 0.8413 = 0.1587

0.1587 = 15.87% probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.2.

Step-by-step explanation:

let the expression of the equation be :

x+y=0

x²+y²= 5

hope it is helpful to you

I'll focus on problem 2.

For these types of problems, I recommend graphing the functions to see how the end behavior looks.

The graph of y = x^2 has a parabola where both endpoints aim upward. So each end goes to positive infinity (regardless if x is going to positive or negative infinity).

In short, the graph rises to the left and it rises to the right.

Increasing the leading coefficient will not change this fact. We can pick any leading coefficient we want and the end behavior will stay the same. All that matters is the leading coefficient is positive.

If the leading coefficient becomes negative, then everything flips: the endpoints will aim down. The other terms we add on (such as a 3x+3) will not change the end behavior. The leading term, with the largest exponent, is what directly and solely determines the end behavior.

The graph is shown below. I used GeoGebra to make the graph. Desmos is another handy tool you could use.

Answer and Step-by-step explanation:

Try putting a bracket ( ] ), so it looks like this:

(-infinity, -5]

this is because the -5 is included and that's where it stops.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

The range of a parabola that opens up starts at its vertex (1,−5)(1,-5) and extends to infinity.

Interval Notation:

[−5,∞)[-5,∞)

Set-Builder Notation:

{y|y≥−5}{y|y≥-5}

Determine the domain and range.

Domain: (−∞,∞),{x|x∈R}(-∞,∞),{x|x∈ℝ}

Range: [−5,∞),{y|y≥−5}

Answer:

315 in²

Step-by-step explanation:

the surface area is the sum of the areas of all the individual shapes in the surface.

so, we have the 2 triangular bases and 3 rectangles as is sides.

the area of a rectangular triangle is a×b/2

we need them twice, so that is then a×b

a=4.5

b=6

a×b = 27 in²

one rectangle is 16×7.5 = 120 in²

one rectangle is 16×6 = 96 in²

one rectangle is 16×4.5 = 72 in²

total surface area is therefore

A = 27+120+96+72 = 315 in²

Answer:

Set of alternative optimal solution : 0 ≤ z ≤ 1.5

Hence There will be an infinite set of Alternative optimal solution

Step-by-step explanation:

considering Cx1 = 4

∴ C = 4 / x1

Cx2 = 6

∴ 4x2 - 6x1  = 0

2x2 - 3x1 = 0 ------ ( 1 )

considering Cx3 = 6

C = 6/x3

Cx4 = 3

∴ (6/x3) x4 - 3 = 0

= 2x4 - x3 = 0 ---- ( 2 )

attached below is the remaining part of the solution

set of alternative optimal solution : 0 ≤ z ≤ 1.5

There will be an infinite set of Alternative optimal solution

Answer:

(b) For each hour that Michelle drove, she traveled an additional 50 miles.

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,350)[/tex] ---- start

[tex](x_2,y_2) = (7,0)[/tex] --- end

Required

Which is true

(a): Journey = 6 hours

This is false, because:

[tex]x = x_2 - x_1[/tex]

[tex]x = 7-0[/tex]

[tex]x = 7[/tex] ---- 7 hours

(b): The average rate is 50 miles per hour

To do this, we calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2- x_1}[/tex]

[tex]m = \frac{0 - 350}{7-0}[/tex]

[tex]m = -\frac{350}{7}[/tex]

[tex]m = -50[/tex]

This means that the rate is 50 miles driven in 1 hour.

(b) is correct

Others are incorrect

Answer:

B

Step-by-step explanation:

I did it

Answer:

C.

Step-by-step explanation:

When you replace x with x - h, the graph shifts h units horizontally.

Here, x is replaced by x - 12.

Compare x - 12 to x - h.

h = 12

The graph shifts 12 units to the right.

Answer:

answer maybe A..not sure but it might be in my opinion..

Answer:

120 times

Step-by-step explanation:

On a dice, there are 6 sides.

Since one of these sides is a 5, the chance of rolling a five is 1/6.

Find how many times Malachy can expect to roll a five by multiplying 720 by 1/6:

720(1/6)

= 120

So, Malachy can expect to roll a five 120 times

Answer:

the angle would be 64°

Step-by-step explanation:

since the other angle is already 296° having the other angle would add to complete the 360 degrees of the circle

Answer:

Step-by-step explanation:

64 because you subtract 360 by 296

Answer:

Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Step-by-step explanation:

Since Tania is buying a guitar, and Guitar Central has 20% off coupons available, and has the guitar Tania wants for $ 349, while Music Mart has the guitar Tania wants for $ 419, but is offering a $ 200 rebate, to determine which is the better deal the following calculations must be performed:

Guitar Central

100 - 20 = 80

349 x 0.8 = X

279.20 = X

Music mart

419 - 200 = X

219 = X

Therefore, Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Answer:

I'm pretty sure it would be base x height divided by 2 so 20×6÷2

Answer:

[tex]\tan{\theta} = \frac{\sqrt{11}}{11}[/tex]

Step-by-step explanation:

Cosecant:

The cosecant is one divided by the sine. Thus:

[tex]\csc{\theta} = \frac{1}{\sin{\theta}}[/tex]

Tangent is sine divided by cosine, so we first find the sine, then the cosine, to find the tangent.

Sine and cosine:

[tex]\sin{\theta} = \frac{1}{\csc{\theta}} = \frac{1}{2\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{\sqrt{3}}{6}[/tex]

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

[tex]\cos^{2}{\theta} = 1 - \sin^{2}{\theta}[/tex]

[tex]\cos^{2}{\theta} = 1 - (\frac{\sqrt{3}}{6})^2[/tex]

[tex]\cos^{2}{\theta} = 1 - \frac{3}{36}[/tex]

[tex]\cos^{2}{\theta} = \frac{33}{36}[/tex]

First quadrant, so the cosine is positive. Then

[tex]\cos^{2}{\theta} = \sqrt{\frac{33}{36}} = \frac{\sqrt{33}}{6}[/tex]

Tangent:

Sine divided by cosine. So

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}} = \frac{\frac{\sqrt{3}}{6}}{\frac{\sqrt{33}}{6}} = \frac{\sqrt{3}}{\sqrt{33}} = \frac{\sqrt{3}}{\sqrt{3}\sqrt{11}} = \frac{1}{\sqrt{11}} \times \frac{\sqrt{11}}{\sqrt{11}} = \frac{\sqrt{11}}{11}[/tex]

The answer is:

[tex]\tan{\theta} = \frac{\sqrt{11}}{11}[/tex]

(1,3) ez la respuesta

Answer:

12.2

Step-by-step explanation:

2.3%= 0.023

So that is the probability that it will be over 13.2 oz, or .977 is the prob that it will be below 13.2

z-score = (real score - mean)/standard deviation

I found .977 at a z-score of 2.00

so 2.00 = (13.2-m)/0.5

=> m=12.2

Answer:

12.3 Gallons

Step-by-step explanation:

Options of the question:-

Option A. 12.33 gallons

Option B. 10 gallons

Option C. 12 gallons

Option D. 12.3 gallons

Option D is the answer :-

As the least count or zero error is 0.1 so it can measure only upto one decimal place so answer will be 12.3

Answer:

I believe it is 90

Step-by-step explanation:

I'm not so sure but when finding the area of a shape you times all those lengths together.

Answer: There is NO answer because there is some missing information!

Step-by-step explanation:

Step-by-step explanation:

simplify

8 add (12 subtract 5)

Step-by-step explanation:

13) Second angle (side shared)

14) Second side (one side shared)

15) Second side (angles where they meet are equal)

16) Second angle (one angle equal cause of a rule)

17) Third side

18) Second side