Find the slope that passes through the points (1,4) and (-4,14)

A: 1
B: -2
C: 1/2
D: -1

Answer:

It is closer to 1

Step-by-step explanation:

3/4 is 1/4 away from 1, whereas 0 is 3/4 away from 3/4. So, 1 is closer.

The fraction 3/4 is closer to 1.

We have,

To determine whether the fraction 3/4 is closer to 0 or 1, we can compare the distances between 3/4 and 0, and between 3/4 and 1.

The distance between 3/4 and 0 is 3/4.

The absolute value of the difference is |3/4 - 0| = 3/4.

The distance between 3/4 and 1 is 1 - 3/4 = 1/4.

Since the distance between 3/4 and 1/4 (which is 1/4) is smaller than the distance between 3/4 and 0 (which is 3/4), we can conclude that 3/4 is closer to 1 than to 0.

In other words, if we were to plot the fractions 0, 3/4, and 1 on a number line, the distance between 3/4 and 1 would be smaller than the distance between 3/4 and 0.

Therefore,

The fraction 3/4 is closer to 1.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

C.) 6x^2-5x+10/x(x-2)

Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited  by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

Answer:

(0,1.5)

Step-by-step explanation:

(x,y)

Answer:

D

6sqrt2(cos(20)+I sin (20))

Answer:

The answer is D: 6sqrt2(cos(20)+isin(20))

Step-by-step explanation:

I’ve honestly been trying to figure out why this is the answer but I have no idea I just happened to get it right.

Answer:

30,000 + 2,000 + 400 + 50 + 6

Step-by-step explanation:

[tex]\text{The expanded form of 32,456 would be 30,000 + 2,000 + 4,000 + 50 + 6.}[/tex]

[tex]\text{We would have to identify what each number stands for.}[/tex]

[tex]\text{For example, 3 in 32,456 stands for 30,000.}[/tex]

[tex]\text{Hence, following this rule, we can conclude that the answer above is correct.}[/tex]

[tex]\text{I hope I helped you suceed!}[/tex]

Answer:

the answer is d because it's reflects

Answer:

(a+b) (a-b) =a^2 - b^2

In this question a=2, b=square root of 5

So 2*2=4 square root of 5 times square root of 5 is 5

4-5=-1

Answer:

I believe the answer is -1.

Step-by-step explanation:

So I distributed,

2 x 2 = 4

[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]

[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5

4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?

the radicals cancel out and 4 -5 = -1

Answer:

Weight before 18 month = 18 pound

Step-by-step explanation:

Given:

Current weight of dog = 14 pound

Weight lose each month = 2/9 pound

Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month

Find:

Weight before 18 month

Computation:

Total weight lose = Weight lose each month x Total number of month

Total weight lose = 2/9 x 18

Total weight lose = 4 pound

Weight before 18 month = Current weight of dog + Total weight lose

Weight before 18 month = 14 + 4

Weight before 18 month = 18 pound

Answer:

16 B's

Step-by-step explanation:

If you know there are 3/4 A's/B's,

and that there are 12 A's,

you can set up a proportion:

3 12

-- = --

4 x

cross multiplication gets you:

48 = 3x

solve for x.

x = 16

Answer:

-x^2+3x+3

Step-by-step explanation:

if the evaluated answer is correct (but my answer above is correct)  it would be -4+6+3 then the answer would be 5 but I am not sure

Answer:

Step-by-step explanation:

D beause less then 5 that means it gose down the grid

Answer:

2,1,0 is the sequence of its terms

Answer:

sorry I donot know the answer never mind ok

Answer:

1.

mean= 84.6

median=84

mode=84

2.

mean=10.14

median=9

mode=9

3.

mean=22.3

median=21

mode=phi

Step-by-step explanation:

mean: the sum of of the quantities by their number

median: the median value after rearranging the values

mode: the value that occurs most frequently

in the second question

mean = (8+9+9+9+9+10+11+15)/8

median(even number) =(9+9)/2=9

mode=9

Answer:

for data set 1

1.mean-84.6

2.median-(84+84)/2 = 84

3.mode-84

for data set 2

1.mean-9.25

2.median-(9+9)/2 = 9

3.mode-9

for data set 3

1.mean-22.3

2.median-21

3.mode-no mode with this data set

hope this helped!!

9514 1404 393

Answer:

Step-by-step explanation:

The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.

  $79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year

  = $532.97

The interest amount in the first payment is $532.97.

__

The amount of the first payment that goes to principal is what is left after the interest is paid:

  $587.20 -532.97 = $54.23 . . . amount to principal

__

The new balance is the previous balance less the amount to principal:

  $79,946.13 -54.23 = $79,891.90 . . . new balance

Answer:

[tex]\frac{-1.1x^{25} }{-1.1x^{11} }[/tex]     [tex]\frac{mx^{67} }{mx^{37} }[/tex]

Step-by-step explanation:

Sine (-1.1) is the same as (-1.1) you just put them together and if the numbers are by each other you just add up the exponents. But if the question says this [tex]\frac{-1.1x^{2} }{-1.1x^{3} }[/tex] than you subtract the exponents.

·[tex](-1.1)x^{13}X (-1.1)x^{12} = add\\\frac{-1.1x^{2} }{-1.1x^{2} } = subtract[/tex]

Hope this helps. Have a blessed day :)

Answer:

The slope of these coordinates is 0.

It is a horizontal line.

Step-by-step explanation:

Answer:

Perimeter of the summer camp = 38 units

Step-by-step explanation:

Distance between P(5, 14) and Q(8, 14) = 8 - 5

                                                                = 3 units

Distance between Q(8, 14) and R(8, 2) = 14 - 2

                                                               = 12 units

Distance between R(8, 2) and S(1, 2) = 8 - 1

                                                            = 7 units

Distance between S(1, 2) and T(1, 8) = 8 - 2

                                                            = 6 units

Distance between T(1, 8) and U(5, 8) = 5- 1

                                                             = 4 units

Distance between U(5, 8) and P(5, 14) = 14 - 8

                                                               = 6 units

Therefore, perimeter of the summer camp = 3 + 12 + 7 + 6 + 4 + 6

                                                                         = 38 units

Answer:

(6 x 5) - 2 + 4(5 + 4)

30 - 2 +20 +16

A = 64

Step-by-step explanation:

5:8

is the ratio .he she and shd

Answer:

The other leg is  12 cm  long.

Step-by-step explanation:

c

2

=

a

2

+

b

2

,

where:

c

is the hypotenuse, and  

a

and  

b

are the other two sides (legs).

Let  

a

=

9 cm

Rearrange the equation to isolate  

b

2

. Plug in the values for  

a

and  

c

, and solve.

b

2

=

c

2

−

a

2

b

2

=

(

15 cm

)

2

−

(

9 cm

)

2

Simplify.

b

2

=

225 cm

2

−

81

cm

2

b

2

=

144 cm

2

Take the square root of both sides.

b

=

√

144 cm

2

Simplify.

b

=

12 cm

Answer:

14.14 cm

Step-by-step explanation:

using the Pythagorean theorem:

?² = 15² - 5² = 225 - 25 = 200

? = √200 = 14.14 cm

Answer:

150°

Step-by-step explanation:

We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,

[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]

Answer:

[tex]14 units[/tex]

Step-by-step explanation:

[tex]Solution:-[/tex]

[tex]A(5,1)B(7,1)[/tex]

[tex]\sqrt{(x_{1}-x_{2} ) ^{2}(y_{2} -y_{1}x^{2} }[/tex]

[tex]AB=\sqrt{(7-5)^{2} +(1-1)^{2} }[/tex]

[tex]= \sqrt{2^{2} } =2[/tex]

[tex]BC=\sqrt{7-7^{2}+(6-1)^{2} }[/tex]

[tex]=\sqrt{5^{2} } =5[/tex]

[tex]perimeter=2(AB)+2(BC)[/tex]

[tex]= 2(2)+2(5)\\[/tex]

[tex]= 4+10= 14[/tex]

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

Measure of E'F' = 9

Step-by-step explanation:

If a quadrilateral is dilated by a scale factor of [tex]\frac{3}{4}[/tex], all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of preimage}}[/tex]

[tex]\frac{3}{4}=\frac{E'F'}{EF}[/tex]

[tex]\frac{3}{4}=\frac{E'F'}{12}[/tex]

E'F' = [tex]\frac{3}{4}\times 12[/tex]

      = 9

Therefore, measure of side E'F' will be 9.