Assume that u⋅v=4, ‖u‖=5, and ‖v‖=3. What is the value of 4u⋅(4u−7v)?

Answer:

Is the letter c

Step-by-step explanation:

Answer:

length: 12m

width: 2m

Step-by-step explanation:

24 = a*w

a = w+10

then:

24 = (w+10)w

24 = w*w + 10*w

24 = w² + 10w

0 = w² + 10 - 24

w = {-10±√((10²)-(4*1*-24))} / (2*1)

w = {-10±√(100+96)} / 2

w = {-10±√196} / 2

w = {-10±14} / 2

only positive numbers:

w = {-10+14}/2

w = 4/2

w = 2m

a = w+10

a = 2 + 10

a = 12m

Check:

24 = 12*2

Answer:

                              Twins in Family History           Twins not in Family History

Twins Born                          0.06                                            0.03

Single child born                 0.94                                            0.97

Answer:

(60,47,73)

Step-by-step explanation:

Answer:

corporate team-building event cost will cost $98

Step-by-step explanation:

A corporate team-building event costs $32, plus an additional $1 per attendee.

Let cost be C

The expression for the above statement

C($)= 32+n(1)

Where n is the number of attendees

So a situation where there are 66 attendees, the total cost will be

C($) = 32 +66(1)

C($) = 32+66

C($)= 98

While the letter grade to numerical contribution for a single subject is ordinal, the moment you compute a grade point average you already treated it as interval at that moment (otherwise you have no basis on which to assert that A+C = B+B).

Answer:

General rule of thumb: if you can add it, it's quantitative. For example, a G.P.A. of 3.3 and a G.P.A. of 4.0 can be added together (3.3 + 4.0 = 7.3), so that means it's quantitative. While the letter grade to numerical contribution for a single subject is ordinal, the moment you compute a grade point average you already treated it as interval at that moment

Answer:

x = 62 words

Explanation:

→ We write the data problems.

372 words .............6 minutes

→ We must find: What's Cynthia typing rate in words per minute?

372 words .............6 minutes

x words ..................1 minute

x = 372 words * 1 minute/ 6 minutes

x = 62 words

Answer: 32.202

or 32.20

or 32.2



Answer:

(10 - .05)w

w= weeks she saves

Answer:

n = 19/5

Step-by-step explanation:

2(n - 5) represents "twice the difference of a number n and 5" and is equal to 9:

2(n - 5) = 9.

Performing the multiplication:

2n - 10 = 9, and so

2n = 19, or n = 19/5

Answer:28 hope this helps

Step-by-step explanation:

Answer:

positive 9 hope this helped and a brainliest would be appreciated

Step-by-step explanation:

Answer:

(x-6)^2 + (y+8)^2 = 25

Step-by-step explanation:

The equation for a circle can be written as

(x-h)^2 + (y- k)^2 = r^2

where (h,k) is the center and r is the radius

The diameter is 10 so the radius is 10/2 =5

the center is 6,-8

(x-6)^2 + (y- -8)^2 = 5^2

(x-6)^2 + (y+8)^2 = 5^2

(x-6)^2 + (y+8)^2 = 25

Answer:

E

Step-by-step explanation:

Let's let c denote the amount of cashews and let's let p denote the amount of peanuts.

So, the owner wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound.

In other words, the total pounds as an equation is:

[tex]c+p=0.5[/tex]

Also, the price would be:

[tex]5.5c+2.3p=(p+c)2.8[/tex]

Since we mixed the peanuts and cashews, our sum would be 2.8(p+c).

And we already determined that p+c is 0.5. Thus, substitute:

[tex]5.5c+2.3p=(0.5)(2.8)[/tex]

Simplify:

[tex]5.5c+2.3p=1.4[/tex]

Now, we can solve the system of equations. Isolate a variable from the very first equation:

[tex]c+p=0.5[/tex]

Subtract p from both sides:

[tex]c=0.5-p[/tex]

Now, substitute this into the equation earlier:

[tex]5.5c+2.3p=1.4\\5.5(0.5-p)+2.3p=1.4[/tex]

Distribute:

[tex]2.75-5.5p+2.3p=1.4[/tex]

Combine like terms:

[tex]2.75-3.2p=1.4[/tex]

Subtract both sides by 2.75:

[tex]-3.2p=-1.35[/tex]

Divide everything by -3.2:

[tex]p=0.412875[/tex]

Now, find c:

[tex]p+c=.5[/tex]

Substitute:

[tex]c+0.421875=.5[/tex]

Subtract:

[tex]c=0.078125[/tex]

Thus, the owner would need 0.08 pounds of cashews and 0.42 pounds of peanuts.

Our answer is E.

Answer:

P ≈ 0,94

Step-by-step explanation:

The normal deck of cards consists of  52 cards, (with 4 kings )

If we take a king a deck will have 51 cards ( three kings )

The probability to get a non-king card is

Probability of non-king card (P)  = 1 - Probability of getting a king card (P₁)

Probability of getting a king card  P₁= 3/51 ≈ 0,059

Then P = 1 - 0,059

P ≈ 0,94

Answer:

Space in inches= 22 inches

Step-by-step explanation:

bedroom wall is 138 inches inches inches wide.

want to hang two posters, each 36 inches inches across, with an equal space between each poster and the wall edges

Total space remaining= 138-(36*2)

Total space remaining=138-72

Total space remaining= 66

To hang the posters to have equal spacing from the egde and between each other, let's bear in mind that we have 3 partions..

Space in inches= 66/3

Space in inches= 22 inches

Answer:

The north campus had [tex]800[/tex] while the south campus had [tex]200[/tex].

Step-by-step explanation:

The question stated that there are [tex]1000[/tex] students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.

Let [tex]x[/tex] denote the number of students in the north campus before the merger. The other [tex](1000 -x)[/tex] students would all belong to the south campus before the merger.

Before the merger, [tex]20\%[/tex] of the students of the north campus are of music majors. In terms of [tex]x[/tex], that's [tex](20\%)\cdot x = 0.20\,x[/tex] students.

On the other hand, [tex]70\%[/tex] of the students of the south campus are of music majors. That corresponds to [tex](70\%)\cdot (1000 - x) = 0.70\cdot (1000 - x) = 700 - 0.70\, x[/tex] students.

With a similar logic, the number of music students in the merged east campus will be [tex]30\% \times 1000 = 300[/tex].

The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:

[tex]0.20\, x+ (700 - 0.70\, x) = 300[/tex].

Solve for [tex]x[/tex]:

[tex]x = 800[/tex].

In other words, there are [tex]800[/tex] students in the north campus and [tex](1000 - 800) = 200[/tex] students in the south campus before the merger.

Answer:

Step-by-step explanation:

5/8

Answer:  5/8

Step-by-step explanation:

Well if 5  of the 8 students in total are boys then the fraction will be 5/8  because is the number of boys out of the total people.

Answer:

2.416,65

Step-by-step explanation:

1620( 1 + 0.08/365 )¹⁸²⁵

1620( 1 + 8/100 / 365 )¹⁸²⁵

1620( 1 + 8/36500 )¹⁸²⁵

1620(9127 / 9125 )¹⁸²⁵

2.416,65

Answer:

Rectangle: 27

Triangle: 39

Step-by-step explanation:

To find the perimeter of a rectangle use the expression P = 2(l + w)

Before substituting 4.5 for x simplify the equation

2((-3 + x) + 1/2(4x + 6)) = P

First simplify in the parenthesis

2(-3 + x + 2x + 3) = P

Now combine like terms, then multiply 2 and 3x

2(3x) = P

P = 6x

Lastly substitute 4.5 for x to find the perimeter

P = 6(4.5)

P = 27

Now do the same thing that we did with the rectangle but with a triangle

P = a + b + c

(3x - 4) + (3x - 4) + 2/3(6x + 3) = P

10x - 6 = P

10(4.5) - 6 = P

P = 39

Answer:

5 - n^2

Step-by-step explanation:

Represent the unknown number by n.  Then the desired expression is:

5 - n^2

Expressing the problem as a mathematical equation, the required expression ls n² - 5

Let the number = n ;

The square of the number, n = n²

Subtracting 5 from the squared Value of the number n² ;

The expression becomes ; n² - 5

Therefore, the required expression which expresses 5 minus the square of a number is n² - 5

Learn more : https://brainly.com/question/15165519

Answer:

2 dollars

Step-by-step explanation:

if 8 limes costs 2 dollars, then 4 limes cost 1 dollar

you purchased 12 limes so since you already know what 8 limes coms, you could subtract that

12-8=4

now you need to find out how much for 4 limes which would be half the price of 8 limes.. which should be 1 dollar

so $2.00+$1.00= $3.00

finally 5 dollars minus 3 would result in a change of 2 dollars

Answer:

(i) 30

(ii) 8

Step-by-step explanation:

Start by drawing 3 rings for the Venn diagram.  Each ring represents either Audi, BMW, or Citroën.

Next, add the information provided in the problem statement.  We know that 20 choose BMW only.  Another 20 choose Citroën only.

We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi.  We'll call this number x.

Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën.  So we'll say that number is 2x.

We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.

Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).

We know that BMW got 36 votes, so:

20 + x + x + 2x = 36

20 + 4x = 36

4x = 16

x = 4

We know that Citroën got 34 votes, so:

20 + x + x + z = 34

20 + 4 + 4 + z = 34

28 + z = 34

z = 6

We know that Audi got 48 votes:

y + 2x + x + z = 48

y + 2(4) + 4 + 6 = 48

y + 18 = 48

y = 30

Finally, we know that the total number of voters is 100.

20 + 20 + x + x + 2x + y + z + n = 100

20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100

92 + n = 100

n = 8

Answer:

37, 700, 000

Step-by-step explanation:

377(10,000) = 377 x 10,000

= 37, 700, 000

an easy way to see it is to just add the number of zeros from 10,000 to 377. since there are four zeros, you put four zeros behind 377.

[it's not mathematical but it helps u see the answer better. and it only works with numbers that start with 1]

Answer:

6.5

Step-by-step explanation:

The midpoint of the line is (-1,7). If you draw a line between that and (1.6), you’ll pass through the y-axis at 6.5.

Answer:

y-intercept =6.5

Step-by-step explanation:

First , lets find the slope

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(1,\:6\right)\\m=\frac{6-8}{1-\left(-3\right)}\\\\Refine\\m=-\frac{1}{2}[/tex]

[tex](-3,8) =(x_1,y_1)\\m =-\frac{1}{2} \\\\[/tex]

Plug in values point point slope form

[tex]y-y_1=m(x-x_1)\\\\y -8=-\frac{1}{2} (x-(-3))\\\\y - 8 =-\frac{1}{2} (x+3)\\\\y -8= -\frac{1}{2} x -\frac{3}{2} \\\\y =-\frac{1}{2} x - \frac{3}{2} +8\\\\y = -\frac{1}{2}x +\frac{13}{2} \\y =\:mx\:+\:b[/tex]

Where b = y-intercept

y-intercept =[tex]\frac{13}{2}[/tex]

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{(x - 7)(x - 6)}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ {x}^{2} - 13x + 42 }[/tex]

Here, we have to find the two numbers that adds to 13 and multiplies to 42.

The numbers are 7 and 6

[tex] \sf{ {x}^{2} - (7 + 6)x + 42}[/tex]

⇒[tex] \sf{ {x}^{2} - 7x - 6x + 42}[/tex]

Factor out x from the expression

⇒[tex] \sf{x(x - 7) - 6x + 42}[/tex]

Factor out 6 from the expression

⇒[tex] \sf{x(x - 7) - 6(x - 7)}[/tex]

Factor out x - 7 from the expression

⇒[tex] \sf{(x - 7)(x - 6)}[/tex]

Hope I helped!

Best regards!!

Answer:

x-7 For AP EX peeps

Step-by-step explanation:

Answer:

The volume of the space between the balls and the rectangular box is [tex]4r^{3}(6 - \pi)[/tex]

Step-by-step explanation:

The attachment below shows the description of the rectangular bow and the three spherical balls.

From the description,  

This means the balls are tightly fitted into the rectangular box.

Each of the balls has a radius r

Hence, The volume of one of the balls is given by the volume of a sphere

[tex]Volume of a sphere = \frac{4}{3} \pi r^{3} \\[/tex]

The volume occupied by one of the balls is [tex]\frac{4}{3} \pi r^{3} \\[/tex]

∴ The volume occupied by the three spherical balls will be

3 × [tex]\frac{4}{3} \pi r^{3} \\[/tex]

= [tex]4\pi r^{3}[/tex]

The volume occupied by the three spherical balls [tex]4\pi r^{3}[/tex]

For the rectangular box,

The volume of a rectangular box = [tex]l w h[/tex]

Where [tex]l\\[/tex] is the length

[tex]w[/tex] is the width and

[tex]h[/tex] is the height

Since the balls are tightly packed,

The width of the rectangular box will be the diameter of the balls

diameter of the balls = 2r

∴ [tex]w[/tex] = 2r

The height of the rectangular box will also be the diameter of the balls

∴ [tex]h[/tex] = 2r

The length of the rectangular box will be 3 times the diameter of the balls

∴[tex]l[/tex] = 3 × 2r = 6r

Hence,

The volume of a rectangular box = 6r × 2r × 2r

= 24r³

The volume of the space between the balls and the rectangular box is given by

Volume of the space between the balls and the rectangular box =

volume of the rectangular box -  volume occupied by the three spherical balls

Volume of the space between the balls and the rectangular box= 24r³ - 4πr³

=  24r³ - 4πr³

= 4r³(6 - π)

Answer:

  551/1

Step-by-step explanation:

  [tex]551 = \dfrac{551}{1}[/tex]

__

Any integer can be written as a rational number with a denominator of 1.