wrie an exponential expression that is equivalent to 4 to the 14 power times -2 please help now!!!!!

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:

(10 - .05)w

w= weeks she saves

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: 32.202

or 32.20

or 32.2



Answer:

Is the letter c

Step-by-step explanation:

Answer:

$331

Step-by-step explanation:

$12.25 per hour

27 hours

$12.25 • 27 = $330.75

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:

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:

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:

zx - 100y = 0

Step-by-step explanation:

Since, x% of z is equal to y

[tex] \therefore \: \frac{x}{100} \times z = y \\ \therefore \: \frac{xz}{100} = y \\ \therefore \: zx = 100y \\ \therefore \: zx - 100y = 0[/tex]

The literal equation that represents x% of z is equal to y will be xz = 100y.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

x% of z is equal to y.

Then the literal equation that represents x% of z is equal to y will be given as,

x% of z = y

xz / 100 = y

xz = 100y

The literal equation that represents x% of z is equal to y will be xz = 100y.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Answer:

(7,-11)

Step-by-step explanation:

We are given the rule of: [tex](x,y)\rightarrow(x+3,y-2)[/tex].

Apply the rule to point P:

[tex](4,-9)\rightarrow(4+3,-9-2)\rightarrow\boxed{(7,-11)}[/tex]

P' should be (7,-11).

Hope this helps.

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:

                              Twins in Family History           Twins not in Family History

Twins Born                          0.06                                            0.03

Single child born                 0.94                                            0.97

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

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:

13 feet 9 inches

Step-by-step explanation:

11ft+2ft=13

6in+3in=9in

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:

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:

positive 9 hope this helped and a brainliest would be appreciated

Step-by-step explanation:

Answer:

(60,47,73)

Step-by-step explanation:

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:

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:

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:

33°

Step-by-step explanation:

We were given that:

1- The angles of a triangle add up to 180 degrees

2- The second angle is 15 degrees larger than the smallest angle

3- The third angle is 3 times as big as the smallest angle

So, first of all, let's call the smallest angle x.

the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle

and the third will be 3x, since it is 3 times bigger than the smallest angle.

With the information we have, we can form an equation!

180° = x + (x+ 15°) + 3x

180° = 5x + 15°

180° - 15° = 5x + 15° - 15°

165° = 5x

165°/5 = 5x/5

33° = x

therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.

99° + 33° + 48° = 180°

so it is safe to say this answer is correct!

If the angles of a triangle add up to 180 degrees. The second angle is 15 degrees larger than the smallest angle. The third angle is 3 times as big as the smallest angle then 35 degree is the measure of the smallest angle.

The sum of three angles is 180 degrees

Let the smallest angle be x

The second angle is 15 degrees  larger than the smallest angle.

The third angle is 3 times as big as the smallest angle.

We need to find smallest angle.

The sum of three angles of a triangle is 180 degrees

Let the smallest angle be x

The second angle is 15 degrees  larger than the smallest angle.

The third angle is 3 times as big as the smallest angle.

We need to find smallest angle x=?

x+(x+15)+3x=180

2x+15+3x=180

5x+15=180

5x=165

Divide both sides by 5.

x=35

Therefore the smallest angle is 35 degree.

To learn more about angle sum property click here:https://brainly.com/question/21364160

#SPJ2

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:

(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