. Factorize a² +3ab - 5ab - 15b²

Answer:

9000

Step-by-step explanation:

the inital ammout which is 9k is the size of the loan

-200 because he years 200 dollars per month

but the start up number is 9000 and he repays the load at 200 dollars a month

Answer:

Option C

Step-by-step explanation:

=> [tex]729x^6+y^6[/tex]

=> [tex](9x^2)^3+(y^2)^3[/tex]

Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]

=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]

=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]

So, these are the two factors of the expression!

Answer:

6/100x

Step-by-step explanation:

Answer:6/100x

Step-by-step explanation:

Answer:

The graph in blue: y=4/3x-2

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept.

To find the slope, you just put rise/run of the line.

Hope this helped :)

Answer:

TW = 3.2 yd

Step-by-step explanation:

In the picture attached,

Triangle TWV has been given with angle W = 90°

By applying Sine rule in the given right triangle,

Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)

SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]

Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]

TW = 6.Sin(32)°

TW = 3.1795

TW = 3.2 yd

Therefore, measure of the side TW = 3.2 yd.

Answer:

B 2.5 Gal

Step-by-step explanation:

Answer:

I think the correct answer may be B.

Step-by-step explanation:

Answer:

x = 125°

Step-by-step explanation:

The given polygon is a hexagon with 6 sides.

The sum of the interior angles for any given polygon = (n - 2)180, where n is the number of sides of the polygon.

Therefore:

[tex] x + 117 + 124 + 102 + 145 + 107 = (6 - 2)180 [/tex]

[tex] x + 595 = (4)180 [/tex]

[tex] x + 595 = 720 [/tex]

Subtract both sides by 595 to solve for x:

[tex] x + 595 - 595 = 720 - 595 [/tex]

[tex] x = 125 [/tex]

x = 125°

Answer:

106

Step-by-step explanation:

Sum of angles around a point = 360 degrees

Sum of given angles = 164+90 = 254

Thus, the value of x is the angles remaining from 254 to make 360

360-254 = 106

Hope this helps

Good luck

Answer:

106

Step-by-step explanation:

164+90=254

360-254=106

THIS IS THE COMPLETE QUESTION BELOW;

Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?

Shift f(x) = 6x five units to the left and seven units up.

Shift f(x) = 6x five units to the right and seven units down.

Shift f(x) = 6x seven units to the right and five units up.

Shift f(x) = 6x seven units to the left and five units down.

Answer:

Shift f(x)=6x five units to the left and seven units down.

Step-by-step explanation:

We are told to translate the function below

f(x) = 6x to g(x) = 6x – 5 – 7

Which means the process to translate f(x) into g(x) is required.

According to the translation rule

f(x)-------->f(x)+a

If a<0 it shift to downward

If a>0 it shift to upward

Then we have

(X,y) ----->((x - 5, y)

There is a shift by x coordinates towards left by 5 units

then we would have the function as

f'(x) = 6(x-5)

Following the translation rule there is a shift by the function by 7 units downward direction then we have

(x,y) ----->(x,y -7)

Then we have g(x) = 6x – 5 – 7 as our translation product.

Therefore, shift f(x)=6x five units to the left and seven units down.

Answer:

113°,

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

1/2(248 - 112) = 68

2 equations with 2 unknowns

x = intercepted arc, y = rest of the circle

x + y = 360

1/2 (y - x) = 68

1/2 ((360 - x) - x) =68

360 - 2x = 136

224 = 2x

112 = x

Answer:

the correct answer is the product of current value and amount owed

Equity is correctly defined as the difference between current value and amount owed.

Equity is defined as an interest (ownership interest) in property that may be offset by debts or other liabilities. Equity is measured for accounting purposes by subtracting liabilities from the value of the assets owned

Given is to find the definition of Equity from the given ones.

Equity is correctly defined as the difference between current value and amount owed.

Therefore, Equity is correctly defined as the difference between current value and amount owed.

To solve more questions on Equity, visit the link below-

https://brainly.com/question/28336002

#SPJ7

Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent:

m∠XWY = 90°

So:

  90° + 58° + x - 7° = 180°

    141° + x = 180°

        x = 39°

Answer:

after 60 seconds = 1 minute ,they will together for the first time.

Step-by-step explanation:

Three bells toll at an interval of 4,5 and 6 second.

They will ring together at the time which will be the multiple of all the three time interval (i.e 4,5,6)

4 = 2*2

5= 5*1

6 = 2*3

LCM  of these three number will be multiple of highest power of each prime number

highest power of 2 in the above problem 2^2

3 = 3

5 = 5

Thus, LCM 2^2 * 3*5 = 60

Thus, after 60 seconds they will together for the first time.

Then they will toll together after each interval of 60 seconds together.

Answer:

The answer is below

Step-by-step explanation:

Let a complex z = r(cos θ + isinθ), the nth root of the complex number is given as:

[tex]z_1=r^{\frac{1}{n} }(cos(\frac{\theta +2k\pi}{n} )+isin(\frac{\theta +2k\pi}{n} )),\\k=0,1,2,.\ .\ .,n-1[/tex]

Given the complex number z = 81(cos(3π/8)+isin(3π/8)), the fourth root (i.e n = 4) is given as follows:

[tex]z_{k=0}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(0)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(0)\pi}{4} ))=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})] \\z_{k=0}=3[cos(\frac{3\pi}{32} )+isin(\frac{3\pi}{32})]\\\\z_{k=1}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(1)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(1)\pi}{4} ))=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})] \\z_{k=1}=3[cos(\frac{19\pi}{32} )+isin(\frac{19\pi}{32})]\\\\[/tex]

[tex]z_{k=2}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(2)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(2)\pi}{4} ))=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})] \\z_{k=2}=3[cos(\frac{35\pi}{32} )+isin(\frac{35\pi}{32})]\\\\z_{k=3}=81^{\frac{1}{4} }(cos(\frac{\frac{3\pi}{8} +2(3)\pi}{4} )+isin(\frac{\frac{3\pi}{8} +2(3)\pi}{4} ))=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})] \\z_{k=3}=3[cos(\frac{51\pi}{32} )+isin(\frac{51\pi}{32})][/tex]

Answer:

443.1305

Step-by-step explanation:

1 mile=0.869 nautical miles

1 mph=0.869 knots

Average speed=Distance/time

Average speed=2172.5/5

=434.5

404.09=3487.5/hours

=8.6305

434.5+8.6305

=443.1305

Answer:

$1.00

Step-by-step explanation:

The tax rate in Nebraska = 5.5%

Cost of the shirt before tax = $18.20

Therefore:

Tax to be paid = 5.5% of $18.20

[tex]=0.055 \times \$18.20\\=\$1.00 $(correct to the nearest cent)[/tex]

The amount you need to pay as tax is $1.00.

Answer:

the answer is 2/5 or 0.4

.

Answer: Jennifer didn't randomly assign participants to the control and experimental group.

Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.

Answer:

Step-by-step explanation:

Hello,

For each survey that Gwen completes she earns 10 points.

So the number of points Gwen earns for completing each survey is 10 and there is only one value.

If x is the number of surveys Gwen completed, her number of points is 10 multiplied by x.

The number of surveys Gwen completes can have several values.

And then, the total number of points Gwen earns can have several values too.

So you need to choose

The number of surveys Gwen completes.

and

The total number of points Gwen earns.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

ill help!

Step-by-step explanation:

find angle CBD

once you find that angle subtract it from 90 because that is the measure of ABC which is a right angle. Because all right angles are 90 degrees you can prove that it is the difference from angle CBD and 90.

hope it helped have good one!

Answer:

[tex]\large \boxed{X = 4}[/tex]

Step-by-step explanation:

5/2.5 = X/2

To solve a proportion, use the following equation:

(numerator * opposite denominator) =  (numerator * opposite denominator)

Substitute in given numbers

(5 * 2) = (X * 2.5)

Multiply to simplify

10 = 2.5X

Divide both sides of this equation by 2.5

[tex]\large \boxed{X = 4}[/tex]

Hope this helps :)

Answer:

y + 8 = -5(x - 4).

Step-by-step explanation:

In this case, y1 = -8, x1 = 4, and m = -5.

y - (-8) = -5(x - 4)

y + 8 = -5(x - 4).

Hope this helps!

Answer:

500

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

Since a and b form a straight line, they will add to 180 degrees

Two angles that add to 180 degrees are supplementary angles

Answer:

The cost price of the article is Rs 1050

The marked price of the article Rs 1200

Step-by-step explanation:

The given discount on the article = 20%

The amount loss  = Rs 90

With a discount of 5% the amount gained = Rs 90

Let the cost price of the article = X

Let the marked price of the article = Y

Therefore, we have;

(1 - 0.2) × Y = X - Rs 90

(1 - 0.5) × Y = X + Rs 90

Which gives;

0.8·Y = X - Rs 90 .......................(1)

0.95·Y = X + Rs 90.....................(2)

Subtracting equation (1) from equation (2), we have;

0.95·Y-0.8·Y = X + Rs 90 - (X - Rs 90) = X - X + Rs 90 + Rs 90 = Rs 180

0.15·Y = Rs 180

Y = Rs 180/0.15 = Rs 1200

Therefor, the marked price of the article = Rs 1200

From;

0.8·Y = X - Rs 90, we have;

0.8×Rs 1200 = X - Rs 90

X = 0.8× 1200 + 90 = Rs 1050

Therefore, the cost price of the article = Rs 1050.

Answer:

10

Step-by-step explanation:

let n represent the number

sum means to add

product means multiply

n + 9 < n • 4

if you fill in 10 for your variable n you will get:

19 < 40

10 plus 9 is 19

10 by 4 is 40

and

because 19 is less than 40 that statement is true

Answer:

CE = 100°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given x = 20°, then 90° - 20° = 70° thus

CE - 30 = 70° ( add 30 to both sides )

CE = 100°

Thus

sin20° = cos(100 - 30)° = cos70°

Answer:

CE = 100

have a nice day!

Step-by-step explanation:

Answer:

Ok, i will suppose the situation that:

The rocket has a constant speed S (So the acceleration of the rocket is equal in magnitude, but opposite in direction, to the gravitational acceleration)

Here we can remember that:

Velocity = distance/time.

Then if the distance is the height of the rocket, we can write this as:

H = velocity*time

h = S*t

This is a linear model that represents the height of the rocket as a function of time.

Case 2:

The rocket is fired with an initial velocity v0, but no acceleration:

In this case the only acceleration acting on the rocket is the gravitatonal acceleration pulling the rocket down, so the acceleration is:

a = -g

To get the velocity as a function of time, we should integrate:

a = -g*t + v0

To get the height as a function of time, we integrate again:

h(t) = (-g/2)*t^2 + v0*t + p0

Where p0 is the initial position of te rocket, but the rocket starts at the ground, so p0 = 0m.

The height as a function of time is:

h(t) = (-g/2)*t^2 + v0*t

This is a quadratic equation.

Answer:

The last (bottom) option in your list

Step-by-step explanation:

Do the product of the matrix one at a time as shown in the attached image:

Answer:

[tex]A^3=\left[\begin{array}{ccc}19&27&9\\6&19&18\\18&9&19\end{array}\right]\\\\PQ-not\ possible[/tex]

Step-by-step explanation:

[tex]A^3=A\cdot A\cdot A[/tex]

A³ - in the attachment

PQ is not possible, because

the dimensions of P are 3 × 3

the dimensions of Q are 2 × 2.

We can multiply two matrices A and B if the number of columns in A is equal to the number of rows in B.

n × m and m × k

Answer:

BHF

Step-by-step explanation:

Definition of inscribed