Which of the following is a monomial?

Answer:

x=8

Step-by-step explanation:

If the two rectangles have the same area, then you have to first find the area to solve the problem. To find the area, do 6(Length)x4(Width)=24. So now that we know that the area is 24, now all you have to do is divide 24 by 3 to find the missing dimension. 24÷3=8. Therefore, x=8.

Answer:

∠U = 40°

Step-by-step explanation:

in order to find the missing angle of U we need to know the two other angles.

We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.

Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.

This would mean that ∠U is 40°

Answer:

(x + 5)(x - 2)

Step-by-step explanation:

Given

x² + 3x - 10 ← expression on the denominator

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, thus

x² + 3x - 10 = (x + 5)(x - 2)

Answer:

A) rm - n is the answer.

hope this helps

Answer:

D

Step-by-step explanation:

rm/rn can be factored into r(m/n) which is what is seen in answer D

Answer:

4

Step-by-step explanation:

9 divided by 36

Answer:

4 words/minute

Step-by-step explanation:

Since we need words per minute, we divide the number of words by the number of minutes.

words/minute = (36 words)/(9 minutes) = 4 words/minute

Answer:

m the slope of function=-3

Step-by-step explanation:

to find the slope take two points from the graph:

(0,4), (1,1)

m= y2-y1/x2-x1

m=1-4/1-0

m=-3/1=-3

the equation : y=mx+b find b

when x=0, y=b=4

y=-3x+4

Answer:

it will take them 33 minutes and 20 seconds

Step-by-step explanation:

What we have here is that Han can stuff 20 envelopes in a minute while Clare can do 10 in a minute

So in a minute, they can jointly stuff 30 envelopes.

Mathematically we know that the number of time it will take to finish stuffing would be number of envelopes/ joint rate = 1000/30 envelopes per minute

So it will take 33 1/3 minutes

1/3 of a minute is same as 1/3 * 60 seconds = 20 seconds

So it will take them 33 minutes and 20 seconds

Answer:

i.  {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

ii. The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375)

Step-by-step explanation:

when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.

The possible outcomes when a coin is tossed three times are:

                   {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

where; H represents the head and T represents the tail.

Pr(tossing exactly 2 tails) = [tex]\frac{number of outcome of 2 tails}{total number of outcome}[/tex]

                                          = [tex]\frac{3}{8}[/tex]

                                          = 0.375

The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375).

Answer:

All real numbers

Step-by-step explanation:

When you graph f(x) = x³,  you should be able to see that within the range of y-values, you get infinite outputs because the domain has infinite inputs.

[tex]a_{n+1}=a_n+n[/tex]

The formatting was a bit confusing, so please do let me know if this isn't the correct equation for the sequence.

The first term is given, which is

[tex]a_1=-9[/tex]

Now, use the equation for the next terms:

[tex]a_{1+1}=a_2=-9+1=-8[/tex]

[tex]a_{2+1}=a_3=-8+2=-6[/tex]

[tex]a_{3+1}=a_4=-6+3=-3[/tex]

Thus, the first 4 terms are -9, -8, -6, and -3. Let me know if you need any clarifications, thanks!

Answer:

1.  3³

2.  (-5)⁴

3.  3¹⁰

4.  4⁰

Step-by-step explanation:

When multiplying exponents with the same base, you add the exponents.  When dividing exponents with the same base, you subtract the exponents.  When raising a number with an exponent to another power, multiply the exponents.

1.  [tex]\frac{3^4*3^6}{3^2*3^5} =\frac{3^{10}}{3^7}=3^3[/tex]

2.  [tex]\frac{(-5)^{12}}{(-5)^3*(-5)^5} =\frac{(-5)^{12}}{(-5)^8}=(-5)^4[/tex]

3.  [tex](3^2)^5=3^{10}[/tex]

4.  [tex]\frac{4^0*4^4}{4^1 * 4^3} =\frac{4^4}{4^4}=4^0[/tex]

Answer: 20 units

Step-by-step explanation: The diagonal forms a Right Triangle with the side opposite the 30° angle, and the hypotenuse is the base. In a 30, 60, 90 triangle, the hypotenuse is always twice the length of the short side, given as 4. So the base is 8.

The upper triangle is iscosceles, and the trapezoid is iscosceles, so the other sides are all 4 units in length.

3×4=12

8+12=20 units

Answer:

x = 1 and x = 3.

Step-by-step explanation:

y = 2[tex]x^{2}[/tex] - 8x + 6

y = 2([tex]x^{2}[/tex] - 4x + 3)

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

So, the x-intercepts would be at...

x-3 = 0

x = 3

and

x - 1 = 0

x = 1

Hope this helps!

Answer:

0.5 or 50%

Step-by-step explanation:

The number of total employees is:

[tex]T=15+25+10 =50\ Employees[/tex]

The number of married employees is:

[tex]M=10+10+5 =25\ Employees[/tex]

The probability that a randomly selected employee is not married is given by:

[tex]P=1-\frac{M}{T}\\P=1-\frac{25}{50}\\P=0.5\ or\ 50\%[/tex]

The probability is 0.5 or 50%.

Answer: The slope is 21/41.

Step-by-step explanation:

IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.

To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.

so 42/82 which reduces to 21/41  has to be the slope .

Answer:

it’s 21/41 or A (I got a 100% on the test)

Answer:

The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:

2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6

Answer:

A) V + 6 B = 372

B) 4V + 12B = 780

We'll divide B) by -4

B) -V -3B = -195 Then we add A)

A) V + 6 B = 372 which equals

3B = 177

1 Bus carries 59 Students

For the Van let's use equation A)

V + 6 * 59 = 372

Van = 372 -354

Each Van Carries 18 Students

Step-by-step explanation:

Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

Answer: 640 (B)

Step-by-step explanation:

The explicit formula

an = -5 × ( -2 )(n - 1) bearing in mind that n = 8

Therefore, putting n = 8 - 1, = 7

-5 × -2(7) raised to the power of 7

an = -5 × -128

= 640

Answer:

symmetric property

Step-by-step explanation:

because if we say

a=b and b=a

we referred to symmetric property

Answer:

A. x = (ln(4))/4

Step-by-step explanation:

2000 = 500e⁴ˣ

(2000)/500 = (500e⁴ˣ)/500

4 = e⁴ˣ

ln(4) = ln(e⁴ˣ)

ln(4) = 4x

(ln(4))/4 = (4x)/4

(ln(4))/4 = x

x = (ln(4))/4

Answer:

A. x = ln(4)/4

Step-by-step explanation:

Step-by-step explanation:

In my opinion 28

Is an outlier

Answer:

a. f(-2) = -6

b. f(0) = 6

c. f(2) = 10

Step-by-step explanation:

The function is given as:

f(x) = 5x + 4                                      if x < 0

f(x) = 2x + 6                                      if x ≥ 0

(a) f(-2)

x < 0:

=> f(-2) = 5(-2) + 4

f(-2) = -10 + 4

f(-2) = -6

(b) f(0)

x ≥ 0:

=> f(0) = 2(0) + 6

f(0) = 6

(c) f(2)

x ≥ 0:

=> f(2) = 2(2) + 6

f(2) = 4 + 6

f(2) = 10

Answer:

-3 + 9i

Step-by-step explanation:

The conjugate of -3i is - 3 - i.

(- 3 i) × (- 3 - i)

Multiply both terms.

-3 + 9i

The multiplication of the complex number -3i and it’s conjugate 3i is 9.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number is -3i.

The conjugate of a complex number a+bi is a-bi.

So, the conjugate of a complex number [tex]-3i[/tex] is [tex]3i[/tex]

Now multiply -3i and 3i, we get

⇒ [tex](-3i)(3i)[/tex]

⇒ [tex]-9(i^{2} )[/tex]

⇒ [tex]-9(-1)[/tex]               [∵ [tex]i^{2}=-1[/tex]]

⇒ [tex]9[/tex]

Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.

Learn more about complex numbers here        

https://brainly.com/question/14029629

#SPJ2

Answer:

B

Step-by-step explanation:

0 to 9 has 10 numbers, and 7 numbers are 0, 1, 2, 3, 4, 5, 6, so the ans is B.

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Hope this helps you...

Answer:

£700

Step-by-step explanation:

First we find the interest on this money.

Interest = Principal * Rate * Time

             =[tex]\frac{500 * 8 * 5}{100}[/tex]

            =5 * 8 * 5

            =£200

Interest = £200

Now you add his actual money to the interest you just found to give you the total amount.

Amount = £500 + £200

             = £700

Answer:

The average speed is 800 km/h

Step-by-step explanation:

The first thing to do here is to completely write the speed in hours.

We have 9 hours 45 minutes

45 minutes in hours is 45/60 = 3/4 = 0.75

So 9 hours 45 minutes = 9.75 hours

The average speed mathematically = Total distance/ Total time

That would be;

7800/9.75 = 800 km/h

Answer:

(-1)* (3)^(n-1)

Step-by-step explanation:

common ratio is 3 and the first term is -1

the explicit formula is a * r^ ( n-1)

i.e., (-1) * 3^(n-1)

Answer:

This is the quantity of output per unit of input.

Step-by-step explanation:

I'm very sure.