Choose the highest common factor (HCF) of 6xy^3 and 9x^2y
A= x^2y^3
B= 3xy
C= 54x^3y^4
D=18x^2y^3

It could be 270, -90 in degrees

or if you're in radians it would be 3/2 pi or -1/2 pi

Answer:

NL is congruent to US.

Answer:

d. NL ≅US

Step-by-step explanation:

ΔMNL ≅ ΔTUS

follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS

Answer:

5 < 10x-3

Step-by-step explanation:

5 - 2x < 8x - 3

Add 2x to each side

5 - 2x+2x < 8x - 3+2x

5 < 10x-3

Answer:

The answer is C.

Step-by-step explanation:

Trust me, I got you.

Answer:

  (5, 7)

Step-by-step explanation:

A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.

The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.

__

  [tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]

The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).

Answer:

D

Step-by-step explanation:

(6x^2-6)×(6x-1)/(6x-6)

Simplify

U get (x+1)(6x-1)

Answer:

p=10 when q=15

Step-by-step explanation:

p and q are inversely proportional

It means

p=k/q

p=25 when q=6

p=k/q

25=k/6

k=25÷1/6

k=25×6/1

=150

k=150

Find p when q=15

p=k/q

p=150/15

=10

p=10

Answer:

m = 153/9

Step-by-step explanation:

since it is the product, you need to divide it to be able to get his age/

hope this helps! :)

Answer:

[tex]a = -9[/tex]

[tex]b = 4[/tex]

Step-by-step explanation:

Given

Sequence: a+3b, a+7b, a+11b

2nd term = 19

5th term = 67

Required

Find a and b

First, the 5th term needs to be calculated;

Using formula for Arithmetic Progression (AP), the formula goes thus

[tex]T_n = T_1 + (n - 1)d[/tex]

Where n = 5

T_1 = a + 3b ------------ FIrst term

[tex]d = T_2 - T_1 or T_3 - T_2[/tex] --- Difference between two successive terms

[tex]d = a + 7b - (a + 3b)[/tex]

[tex]d = a + 7b -a - 3b[/tex]

[tex]d = a - a + 7b - 3b[/tex]

[tex]d = 4b[/tex]

So, [tex]T_n = T_1 + (n - 1)d[/tex] becomes

[tex]T_5 = a + 3b + (5 - 1)4b[/tex]

[tex]T_5 = a + 3b + (4)4b[/tex]

[tex]T_5 = a + 3b + 16b[/tex]

[tex]T_5 = a + 19b[/tex]

Now that we have values for 2nd and 5th term;

From the second, T2 = 19 and T5 = 67

This gives

[tex]a + 7b = 19[/tex] --- Equation 1

[tex]a + 19b = 67[/tex] ---- Equation 2

Make a the subject of formula in (1)

[tex]a = 19 - 7b[/tex]

Substitute these values in equation 1

[tex]a + 19b = 67[/tex] becomes

[tex]19 - 7b + 19b = 67[/tex]

[tex]19 + 12b = 67[/tex]

Collect like terms

[tex]12b= 67 - 19[/tex]

[tex]12b = 48[/tex]

Divide both sides by 12

[tex]\frac{12b}{12} = \frac{48}{12}[/tex]

[tex]b = 4[/tex]

Recall that b = 4

Substitute a = 19 - 7b and nothing will hire

[tex]a = 19 - 7(4)[/tex]

[tex]a = 19 - 28[/tex]

[tex]a = -9[/tex]

Hence, the values of a and b are -9 and 4 respectively.

Answer:

10% = 1/10

20% = 1/5

100% = 3/3

75% = 3/4

Step-by-step explanation:

Answer:

Awnser is down below

Step-by-step explanation:

75= 3/4

20= 1/5

10 = 1/10

100= 3/3

Hope this helps :)

Explanation:

The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.

The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.

If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.

Answer:

x=S/4

Or

x=S(1/4)

Step-by-step explanation:

Surface Area(S)=4x

Where

x=length

Inverse by solving for x without switching the variables

S=4x

Divide both sides by 4

S/4=4x/4

S/4=x

x=S/4

Or can also be written as

x=S(1/4)

In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?

Answer: 80°

Step-by-step explanation:

ST = SP and m∠R = 130°

If m∠R = 130°, then,

QPS = 130° ( Opposite angles of a parallelogram are equal)

QPS + SPT = 180° (angle on a staght line)

130° + SPT = 180°

SPT = 180° - 130° = 50°

PTS = SPT = 50° (Base Angle of an isosceles triangle)

m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)

m∠PST = 80°

Answer:D subtraction property of equality

Step-by-step explanation:

Answer:

D. $5,676.88

Step-by-step explanation:

A=P(1+r/n)^n*t

Where

P=principal=$5000

r=interest rate=6.45%=0.0645

n=periods=2(semiannually)

t=time=2 years

A=P(1+r/n)^n*t

=5,000(1+0.0645/2)^2*2

=5,000(1+0.03225)^4

=5000(1.03225)^4

=5000(1.13553756247925)

=5,676.8781

Approximately

$5,676.88

Answer:

(0, -4)

Step-by-step explanation:

The lines intersect at 0, -4. That is also the solution.

Answer:

D

Step-by-step explanation:

The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!

Answer:

explained below

Step-by-step explanation:

Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.

In the image I leave an example of the use of scientific notation in this area

The complete question is:

A certain element has a half life of 4.5 billion years.

You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?

Answer:

Age of rock = 7.82 billion years

Step-by-step explanation:

For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.

We are given that;

fraction remaining = 30% = 0.3

Thus;

0.3 = 0.5n

To find n, we have to use the log function;

log 0.3 = n log 0.5

-0.5229 = -0.301 n

n = -0.5229/-0.301

n = 1.737

We are given that;

Half life = 4.5 billion years

So, 1.737 half lives would give;

1.737 × 4.5 = 7.82 billion years

So, age of rock = 7.82 billion years

Answer:

x=-3

Step-by-step explanation:

4/x=8/(x-3)

We can solve this using cross products

4 ( x-3) = 8x

Distribute

4x -12 = 8x

Subtract 4x from each side

4x-4x-12 = 8x-12-4x

-12 =4x

Divide each side by 4

-12/4 = 4x/4

-3 =x

Answer:

X=-3

Step-by-step explanation:

Solve it like any other two step equation.

But first we have to have x on its own to get what the x value is

Answer:

81.8 kg

Step-by-step explanation:

To find the total mass you have to add both of their mass

46.2 kg+35.6 kg= 81.8 kg

Their total mass is 81.8 kg #

Answer: A line segment is a part of a line. It has 2 endpoints.

Step-by-step explanation:

Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.

So, in order for a figure to be a line segment,

it needs to begin and end at an endpoint.

Take a look at the image provided below.

Answer:

Step-by-step explanation:

I think 33°

Answer:

its 34 i think

Step-by-step explanation:

Answer:

$3600

Step-by-step explanation:

Given:

Total income T = $18,000

Fraction of income spent on house rent f1 = 1/5

Fraction of income spent on other expenditures f2 = 3/5

Fraction of income saved is;

f = 1 - (1/5+3/5) = 1 - 4/5

f = 1/5

The Amount he save is A;

A = fraction saved × total amount = f × T

Substituting the values

A = 1/5 × $18,000

A = $3,600

The Amount he save is $3,600

Answer: Varun saves 3,600 every month

Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;

Total income = 18000

House rent = 1/5

Rent expense = 1/5 of 18000

Rent expense = 1/5 * 18000

Rent expense = 3600

he also spends 3/5 on other expenditure

Other expenditure = 3/5 of 18000

Other expenditure = 3/5 * 18000

Other expenditure = (3 * 18000)/5

Other expenditure = 54000/5

Other expenditure = 10800

His expenses therefore have been derived as

Total expenditure = 3600 + 10800

Total expenditure = 14400

His savings per month therefore is derived as;

Total income - total expenditure = savings

18000 - 14400 = savings

3600 = savings

Therefore, Varun saves 3,600 every month

Answer:

3/10

Step-by-step explanation:

There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10

P( green) = number of green / total

               = 3/10

Answer:

k = ab/ ( a^2 - b^2)

Step-by-step explanation:

a/b=b/a+1/k

Multiply each side by abk to get rid of the fractions

abk *a/b=abk(b/a+1/k)

a^2k = b^2k + ab

Subtract b^2k from each side

a^2k - b^2k = b^2k - b^2k + ab

a^2 k - b^2 k = ab

Factor out k

k( a^2 - b^2) = ab

Divide each side by ( a^2 - b^2)

k( a^2 - b^2)/  ( a^2 - b^2) = ab/ ( a^2 - b^2)

k = ab/ ( a^2 - b^2)

Answer: K= ab/(a+b)(a-b)

Answer:

d

Step-by-step explanation:

first two are to measure mass not area and third is too large of a measurement for a beach towel. Hope it helps!

Answer:

Answer is (D)    x2 – 4x – 12

Step-by-step explanation:

edge 2020 test

Answer:

n= 4725 /1024

Step-by-step explanation:

Answer:

576π in² and 1,809 in².

Step-by-step explanation:

To find the answer, the formula for the area of a circle, or A = πr², will need to be used.

In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:

48/2 = 24 inches.

Now, plugging this into the equation for the Area of a Circle, gets us:

A = π24²

A = 576π or 1808.64 in².

Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)

Answer:

Step-by-step explanation:

Given the formula ui = xi - 25 / 10

Note that the general formula for calculating ui = xi-A/n where;

A = assumed mean

n = class size

On comparison with the given equation, A = 25 and h = 10

Also arithmetic mean  x = A + {h * sigma(fiui) /sigma(fi)} where;

sigma(fiui) = 20 and  sigma fi = 100

Substituting the given value to get the mean x;

x = 25+ (10*20/100)

x = 25 + (200/100)

x = 25 + 2

x = 27

The arithmetic mean is 27