Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation Point: (4,-6) Equation: y = -3/4x + 1​

Answer:

Minimum 3 squares.

Step-by-step explanation:

Let the number of identical squares that will fit in the rectangle = x

Sum of the area of the squares = Area of the given rectangle

x(Side length of the square)²= (length of the rectangle × width of the rectangle)

x(S)²= (40 × 90)

x(S)²= 3600 cm²

For the minimum numbers of the squares,

If x = 1,

S = √3600 = 60 cm

But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.

If x = 2,

2S² = 3600

S² = 1800

S = √1800

S = 42.43 cm

Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.

If x = 3,

3S² = 3600

S² = 1200

S = √1200

  = 34.64 cm

Therefore, minimum 3 squares can be fitted in the given rectangle.

Answer:

k=27

Step-by-step explanation:

Answer:

direct variation is y = kx

k is the slope of the line y = mx + b

i don't know that last one, sorry

Step-by-step explanation:

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

Answer:

So the pattern is dividing in half

So 300, 150, 75

We have the first 3 terms

The 4th term: 37.5, 18.75,

So we get the 10th term: 0.58

Answer:

14 packages.

Step-by-step explanation:

The total number of balloons needed is 3 * 220 = 660 balloons

To find the number of packages

660 / 50 = 13 with a remainder of 10.

Normally, you would round down, but not with this question. You need to buy a whole package to get the 10 left over balloons.

The answer is 14 packages.

Answer: log(x+4) + log(x)=log(x+4)

Group like terms

log(x+4)-log(x+4)=-log(x)

Log((x+4)/(x+4))=-log(x)

log(1)= -log(x)

log(1)=0

=> 0=log(x)

x=10^0

x=1

Step-by-step explanation:

Before one can solve log questions, he/she must know the laws.

Put x= 1 in to the main equation to test your answer

Log(5) +log(1)=log(5)

log (1) is 0

log(5)=log(5)

Answer:

the answer is your first choice

Answer:

The the rate of the motorboat in still water is 40 km/h;  the rate of the current is  10 km/h.

Step-by-step explanation:

Let  u  be the rate of the motorboat in still water (in kilometers per hour),

let  v  be the rate of the current.

Then the rate of the motorboat going downstream is  u+v  km/h,

while its rate going upstream is  u-v  km/h.

From the other side, the rate of the motorboat going downstream is  150/3=50km/h = 30 km/h.

Thus you have these two equations

   u + v = 50    (1)   (for the rate downstream),   and

   u - v = 30    (2)   (for the rate upstream).

To solve the system, add equations (1) and (2). You will get

   2u = 50 + 30 = 80;   hence,

    u           = 80/2 = 40 km/h.

Then from the equation (1),  v = 50 - u = 50 - 40 = 10 km/h.

ANSWER.  The the rate of the motorboat in still water is 40 km/h;  the rate of the current is  10 km/h.

Answer:

The answer is "[tex]\bold{\frac{1}{3} \ n^2 (n - 1) \ units^3}[/tex]"

Step-by-step explanation:

Please find the complete question in the attachment file.

The volume of a pyramid: [tex]V=\frac{1}{3} (\text{base area}) \times (\text{height})[/tex]

In the question if:

[tex]Area= n^2 \ units^2 \\\\height= (n-1) \ units\\[/tex]  

apply the value in the volume formula:

[tex]V=\frac{1}{3}\ n^2 \ units \times (n-1) \ units^2\\\\[/tex]

   [tex]= \frac{1}{3}\ n^2 \times (n-1) \ units^3\\\\ = \frac{1}{3}\ n^2 (n-1) \ units^3\\\\[/tex]

Answer:

option C). 1/3^2(n − 1) units3

Step-by-step explanation:

just took test

The value of x is 11.

It states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.

From given figure,  [tex]A=3x+9,B=8x-4[/tex]

                [tex]\angle B=2\angle A\\\\8x-4=2(3x+9)\\\\8x-4=6x+18\\\\8x-6x=18+4\\\\2x=22\\\\x=22/2=11[/tex]

Learn more about the central angle of circle here:

https://brainly.com/question/3538263

Answer:

133.33%

Step-by-step explanation:

you can find this by doing 24/18x100, which is equal to 133.33

Answer:

133%

Step-by-step explanation:

We're going to divide [tex]\frac{24}{18}[/tex].

That equals about 1.33 repeating.

Next, we're multiplying that decimal by 100.

That gets us 133.

Answer:

The first choice

Step-by-step explanation:

Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.

Answer:

option 1 or A

Step-by-step explanation:

it is the definition of perpendicular lines

Answer:

its c 48.08 im pretty sure

Step-by-step explanation:

Answer:

3, 8, 13, 18

Step-by-step explanation:

Answer:

270.5

Step-by-step explanation:

*sigh* here we go again ok

separate it into a rectangle and semicircle

12*16=192

circle is pi(r)^2/2   so

5^2=25

25*3.14=78.5

78.5+192=270.5

Answer:

x=44444444444444444444444444444444

Step-by-step explanation:

Answer:

.2

Step-by-step explanation:

Answer:

A. Choice 2

B. Choice 1

C. Choice 2

D. Choice 1

Step-by-step explanation:

So basically if it's being multiplied by something each time, then it's choice 2 and if it's being add by something each time, then it's choice 1.

A. You can see in the diagram that each time you multiply the y-value by 2, so it's choice 2

B. In the equation you can tell that every time you will be adding 16, so choice 1

C. Since it's being multiplied by 0.75 each time, it's choice 2

D. Every time y grows by 12, so it's choice 1.

Answer:

Step-by-step explanation:

Given

Conjugate of z is:

Product zz' is:

If ,

[tex]\bold{z=-3+5i }[/tex]

so,conjugate of z

[tex]\overline{ z }[/tex]=[tex]\bold{-3-5i }[/tex]

Because, in argand plane [tex]\overline{ z }[/tex] is the reflection of z in x-axis.

so,

According to the question,

z[tex]\overline{z}[/tex]=(-3+5i)(-3-5i)

[tex]\bold{(-3)^2-(5i)^2 }[/tex]

[tex]\bold{9-25(-1) }[/tex]

[tex]\bold{ 9+25 }[/tex]

[tex]\bold{ 34 }[/tex]

Answer:

The answer is 26.2.

Step-by-step explanation:

To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we  convert 70% into a decimal which is 0.70.  then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.

Hope this helps!

Step-by-step explanation:

1book valume = 25cm×20cm×2cm=1000cm³

a packet valume = 6×1000cm³ = 6000cm³

Answer:

216000 cm3

Step-by-step explanation:

length of packet = 6 × 25 cm = 150 cm

breadth of packet = 6 ×20 cm = 120 cm

height of packet = 6 × 2 cm = 12 cm

Now,

volume of packet = l×b×h = 150 cm × 120 cm × 12 cm

= 216000 cm3

Answer:

15cm

Step-by-step explanation:

180/12=15

Answer:

1/5

Step-by-step explanation:

Answer:

The answer to the question provided is 3: 15

Answer:

x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3

Step-by-step explanation:

Let's solve for x.

3x2+y2=9

Step 1: Add -y^2 to both sides.

3x2+y2+−y2=9+−y2

3x2=−y2+9

Step 2: Divide both sides by 3.

3x^2/3= -y^2+9/3

x^2=-1/3 y^2 +3

x=√-1/3 y^2 +3 or x=-√-1/3 y^2 +3

Hope it helped!

Answer:

Step-by-step explanation:

a is not less than 0 because it is to the right of 0 on the number line, so the first statement is false. The second statement is true. The absolute value of positive a is positive a, and since a is to the right of 0 on the number line, it is greater. The third statement is false. The absolute value of positive a is positive a, not 0.

Answer:

94°

Step-by-step explanation:

There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.

Sum of angles in a pentagon = 540°

Hence:

PQR + QRS + RST +STP + TPQ = 540 °

132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°

132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540

132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°

241 +13x = 540

13x = 540 - 241

13x = 299

x = 299/13

x = 23

What is m∠P?

m∠P in Pentagon PQRST = TPQ

TPQ = 4x + 2

= 4 × 23 + 2

= 94°