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Answer:

d = 4

Step-by-step explanation:

[tex]4d+2d−4d+4=3d

[tex]4d+2d−4d+4=3d[/tex]

[tex]4d+2d+−4d+4=3d[/tex]

(4d+2d+−4d)+(4)=

d+4=3d[/tex]

(2d+4=3d)[/tex]

[tex]2d+4−3d=3d−3d[/tex]

[tex] - d + 4 = 0[/tex]

[tex]−d+4−4=0−4[/tex]

[tex] - d = - 4 [/tex]

[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]

Answer:

The 1st, 2nd and 5th options are correct.

Step-by-step explanation:

The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

①Rewrite the given equation into the form of y=mx+c to find the gradient.

[tex]- \frac{5}{3} x = \frac{1}{4} y - 8 \\ \frac{1}{4} y = - \frac{5}{3} x + 8 \\ y = - \frac{20}{3} x + 32[/tex]

Thus, the gradient of the given equation is [tex] - \frac{20}{3} [/tex].

② Find gradient of unknown line.

The product of the gradients of perpendicular lines is -1.

Let m be the gradient of the unknown line.

[tex]- \frac{20}{3} m = - 1 \\ m = - 1 \div ( - \frac{20}{3} ) \\ m = - 1 \times ( - \frac{3}{20} ) \\ m = \frac{3}{20} [/tex]

③Substitute the value of m into the equation.

[tex]y = \frac{3}{20} x + c[/tex]

④ Find the value of c by substituting a pair of coordinates.

When x= -7, y= 3,

[tex]3 = \frac{3}{20} ( - 7) + c \\ 3 = - \frac{21}{20} + c \\ c = 3 + \frac{21}{20} \\ c = 4 \frac{1}{20}[/tex]

Thus, the equation of the line is [tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex].

Thus, the 4th option is incorrect.

Writing c as an improper fraction,

[tex]y = \frac{3}{20}x + \frac{81}{20} [/tex]

Thus, the 1st option is correct.

-3 from both sides of the equation:

[tex]y - 3 = \frac{3}{20} x + \frac{21}{20} [/tex]

Factorise 3/20 out of the right hand side:

[tex]y - 3 = \frac{3}{20} (x + 7)[/tex]

Thus, the 2nd option is correct.

The 3rd option is incorrect as factorising -20/3 out would leave us with -0.0225 as the coefficient of x.

Let's look at the 5th option.

[tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex]

×20 on both sides:

[tex]20y = 3x + 81[/tex]

-20y on both sides:

[tex]3x - 20y + 81 = 0[/tex]

-81 on both sides:

[tex]3x - 20y = - 81[/tex]

Thus, the 5th option is also correct.

Answer:

27/100?

Step-by-step explanation:

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

Answer:

                   y=4x-3

Step-by-step explanation:

Answer: 2/5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i am 96% sure it is 6

i might be wrong tho so i would wait for another answer ._.

Answer:

Its 6 and give the other guy his brain he deserves it

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 4 = 14(x - 12)

y + 4 = 14x - 168

y = 14x - 168 - 4

y = 14x - 172

Answer:

yyyy

Step-by-step explanation:

Answer:72

Step-by-step explanation:

115+115=230

230-158=72

If you add the 115 a month that she earns from babysitting, then add both the months pay together, than subtract 158(cost of the bicycle) by the total pay, you should get 72$

Answer:  D. $72

Step-by-step explanation:

If she earns $115 a month and June and July is a combination of two months then we will have to find the amount she earn toegther in June and July by multiplying 2 by $115.

2(115) = 230

She earned $230 in those months, and if the bicycle cost $158 , then we will have to subtract $158 from $230 to find her remaining amount.

$230 - $158 = $72  

Answer:

D The volume of a cube increases by a factor of 8 when its edge length doubles

Step-by-step explanation:

Volume of a cube is represented by the function

[tex]V(x)=x^3[/tex]

where [tex]x[/tex] represents the edge length of the cube

Now when [tex]x=2x[/tex] i.e., when the edge length is doubled we have

[tex]V(2x)=(2x)^3\\\Rightarrow V(2x)=8x^3\\\Rightarrow V(2x)=8(V(x))[/tex]

It can be seen that the volume of the cube increased by 8 times when edge length doubles.

Answer:

the answer is d

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

ssssssssssssssssssssssssssssss

Answer:

Time = 500 seconds  or 8.333 minutes

Step-by-step explanation:

Time = Distance/Speed

Speed of light = 3 x 10^8 meters/second

Distance=1.5 X 10^11 meters

Time = 1.5 X 10^11 meters/3 x 10^8 meters/second

We solve using the scientific notation. When 8 is taken to the top it is subtracted from 11 ( the base 10 is the same -- laws of exponents)

Dividing 1.5  by 3 gives 0.5 .

Time = 1.5 X 10^(11- 8) meters/3 meters/second

Time = 0.5 X 10^3 seconds

Time = 500 seconds

Dividng seconds with 60 will give minutes

Time= 500/60 = 8.333 minutes

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

Since g(x)=0, you input 0 into every x

[tex]y=-(0)^{2} -2(0)+3[/tex]

Which then becomes:

[tex]y=0+3[/tex]

Take out the 0 and there's your answer

Answer:

i forgot about it but ye its cool

Step-by-step explanation:

ooh I love life is fun it one of a good songs

Answer:

the answer would be around 1.5 to two percent

Step-by-step explanation:

Answer:

x(x+6)

which is 2

Step-by-step explanation:

Im new can u pls mark me brainliest

Answer: The answer would be 7.03

Step-by-step explanation: cause you gotta get the 28 in there i hope im right

Answer:

15 quarters

Step-by-step explanation:

Assuming q = quarters and d = dimes...

First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.

q + d = 28

.25q + .10d = 5.05

Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.

q + d = 28

4(.25q + .10d) = 4(5.05)

After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6

q + d = 28

q + .4d = 20.20

Divide both sides by .6 to get d by itself.

.6d = 7.8

There are 13 dimes.

d = 13

Subtract 13 from the total coins (28) to get the amount of quarters.

28 - 13 = 15

13 dimes, 15 quarters. Hope this helped!

Answer:

y=.44-.66

Step-by-step explanation:

hope this helps not 100 percent sure let me know in the comments.

Answer:

Simplify the expression.

8x² + 8

Answer:

8(x^2 +1)

Step-by-step explanation:

(x^2 + 3)^2 - (x^2 - 1)^2

(x^2 + 3 - (x^2-1)) • (x^2 + 3 + (x^2 - 1))

(x^2 + 3 - x^2 + 1) • (x^2 + 3 + (x^2 - 1)

(3 + 1) • (x^2 + 3 + x^2 - 1)

4(2x^2 + 1)

4 • 2(x^2 + 1)

8(x^2 +1)

Step-by-step explanation:

sin90 = sinx

19 17

sin x=0.8947

x=63.47°

Answer:

hello

Step-by-step explanation:

Answer:

C: 128n¹²p¹⁴

Step-by-step explanation:

I plugged this into my TI-89 calculator and got this answer. Let me know if you need the step by step explanation and I'll be more than happy to hand-solve it for you!

Answer:

The largest third side would be 26 meters.

Option B is correct.

Step-by-step explanation:

We are given two sides of triangle 12 meters and 16 meters.

We need to find What is the largest the third side can be?

We know that the length of third side should be less than the sum of two sides of triangle

third side < length of first side + length of second side

third side < 12+16

third side < 28

So, the length of third side should be less than 28

We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.

So, the largest third side would be 26 meters.

Option B is correct.

Answer:

x = 6

Step-by-step explanation:

7 + 5x = 2x + 25

first subtract 7 from both sides to isolate 5x on the left

5x = 2x + 18

then subtract 2x from both sides to isolate all of the x terms to one side

3x = 18

then divide 18 by 3 to solve for x

x = 6

hope this helped!! :)

Answer:

i got you, i wrote it out and all gimme brilliantness

Step-by-step explanation:

Answer: C. 3(b-2)=24

Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24

Answer:

The slope of this line is -2/3x.

Step-by-step explanation:

The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.

And the equation then is

1 - 3 / 3 - 0.  After simplifying this you get -2/3.

Answer:

C

Step-by-step explanation:

given:

m= -2 and (3, -1)

point-slope form: y-y1= m(x-x1)

y - (-1) = -2(x-3)

y + 1 = -2(x-3)

Answer:

C.

Step-by-step explanation:

A.) y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 6 + 1

y = -2x + 7

B.) y - 1 = -2(x + 3)

y - 1 = -2x - 6

y = -2x - 6 + 1

y = -2x - 5

C.) y + 1 = -2(x - 3)

y + 1 = -2x + 6

y = -2x + 6 - 1

y = -2x + 5

D.) y + 1 = -2(x + 3)

y + 1 = -2x - 6

y = -2x - 6 - 1

y = -2x - 7