Evaluate the expression for a = -13.

[tex] \: \: \: \: \: \: [/tex]

[tex]6! = 720 \\ \\ 7! = 5040[/tex]

Step-by-step explanation:

[tex]6![/tex]

[tex]6 \times 5 \times 4×3× 2×1[/tex]

[tex] = 720[/tex]

[tex]7! = [/tex]

[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]

[tex] = 5040[/tex]

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

720 and 5040

Step-by-step explanation:

Using the definition of n! ( n factorial )

n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

Answer:

-3

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

if we plug in the values and solve, that gets you -3.

Answer:

-3

Explanation:

1-(-2) divided by 3-4

Answer:

Step-by-step explanation:

[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]

[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]

1

Step-by-step explanation:

Answer:

8, -8

Step-by-step explanation:

  Let's say that x is the larger number,

x - y = 16

y = x - 16

xy = P  where P is a minimum  

x(x-16) = P.  

(We can find the vertex, which is the minimum, by writing it in vertex format)  

  Completing square:  

x2 - 16x = P  

x2 - 16x + 64 = P + 64  

(x - 8)2 = P + 64.

 So,

x = 8 and -8

(8 - -8 -> 8 + 8 = 16)

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

[tex]m[/tex]

Step-by-step explanation:

Combine like terms

[tex]-3m+(-2x)+4m+2x[/tex]

[tex](-3m+4m)+(-2x+2x)[/tex]

[tex](1m)+(0)[/tex]

[tex]m[/tex]

Answer:

m

Step-by-step explanation:

Simplify like-terms first:

-3m + (-2x) + 4m + 2x

m + (-2x) + 2x

Both x's cancel each other out, so you're left with:

m

Answer:

18.33

Step-by-step explanation:

its easy divide 275 ÷ 15 = [18.33]333333333333 the only number you need is [18.33]333333333333

and boom that simple you get your answer

Answer:

the three sides are 8, 12 and 16

Step-by-step explanation:

since the ratio is in 2:3:4, we need to work out each side individually so add them=2+3+4=9

9n=36, n=4

2:3:4

2 × 4 = 8

3 × 4 = 12

4 × 4 = 16

Answer:

a,c

Step-by-step explanation:

You would get $12 in the certificate of deposit, and

a. 12

b. 13.5

c. 12

d. 8

e. 24

so, a and c

Hope this helps!

Let me know if it does and if the answer is right

Interest earned in options $400 at 3% for 1 year, $400 at 3% for 1 year
and $50 at 48% for 6 months has the same interest earned by, as $150 earn 4% annual interest for 2 years.

As mentioned in the question, A certificate of deposit with a principal of $150 earns 4% annual interest for 2 years.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

here,
1. $300 at 2% for 2 years

Simple Interest = principal × rate × time / 100
Simple interest = 300 × 2 /100 × 2
Simple interest = $12

Similarly, interest earned by other options is given as,
2. $13.5
3. $12
4. $8
5. $12

Thus, Options A, C, and E are correct.

Learn more about simple interests here:

https://brainly.com/question/26457073

#SPJ2

Answer:

25.12 square feet

Step-by-step explanation:

Area of a circle

a = 3.14 * r^2

a = 3.14 * 4^2

a = 3.14 * 16

a = 50.24

Since this is a semi-circle the area is half the circle

a = 50.24/2

a = 25.12 square feet

Answer:

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 57/84

The inverse function is used to find the angle.

  x = arccos(57/84)

  x ≈ 47.27°

__

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x) = 53/76

The inverse function is used to find the angle.

  x = arcsin(53/76)

  x ≈ 44.22°

[tex] \frac{12}{1} = \frac{96}{x} [/tex]

[tex] 12x = 96[/tex]

[tex]x = \bold{8liter}[/tex]

Answer:

Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles

Step-by-step explanation:

Answer:

#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15

Step-by-step explanation:

This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.

Answer is A

No; there is no constant change in x that corresponds to a constant change in y.

Luoa is not easy , I know that for a fact.

The slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given a set of ordered pairs {(1, 2), (4, 10), (7, 17), (10, 22)}.

The first pair is y = 2x.

The second pair is 4y = 10x ⇒ y = (10/4)x ⇒ y = (5/2)x.

So, we can conclude that the slope of the line is not constant hence it does no satisfies the condition of a straight line therefore non-linear.

learn more about ordered pairs here :

https://brainly.com/question/28874333

#SPJ2

Answer:14.48

sorry if it is wrong.

Step-by-step explanation:0.25*57.90=14.475

Answer:

Sofia at 13.5 seconds

Step-by-step explanation:

These numbers aren't easily compared since they don't have the same number of digits.  Sofia's time of 13.5 seconds is less than that of the other two times, 13.524 and 13.51 seconds, but the lack of a zero after the 5 in Sofia's time is concerning.  If the other times were measured toi within a hundredth of a second, why not Sofia's time also?  Perhps her true time was 13.56 seconds, but the 0.05 was dropped.  She would be slower than the other two.  But, in the absence of helpful information, the only thing that can be said is that Sofia's time is reported to be less than either Jen and Ali.

Step-by-step explanation:

the lcm is 9 so....

3/9+8/9

multiply both sides by their lcm which is 9...

so....

9 (3/9)+9 (8/9)

3+8=11

Answer:

See picture

Step-by-step explanation:

My calculator only allows numbers up to 15 digitss-

djsjdjcvfb

Here

Work

Picture

I just want the points so please tell me I didn't just waste my time :'D

Answer:

y=x+6.

Step-by-step explanation:

the slope-interception form is: y=s*x+i, where s - slope, i - interception.

according to the data in the graph i=6, s=1, then finally,

y=x+6.

Answer:

5+5=10

Step-by-step explanation:

i dont understand

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

slope m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y2 - y1}{x2-x1}[/tex]= [tex]\frac{4-(-1)}{2-0} = \frac{5}{2}[/tex]

Answer:

I want to say the building is most likely 76 ft tall

Answer:

RS = 6

Step-by-step explanation:

The line joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

RS = [tex]\frac{1}{2}[/tex] AB = [tex]\frac{1}{2}[/tex] × 12 = 6

Answer:

3.5

Step-by-step explanation:

Answer:

I am deeply sorry.

Step-by-step explanation:

I am really sorry about how long it takes you to do "this". My best advice is to take a break and think it out slowly.

Step-by-step explanation:

Use Pythagarus theorem

17^2=15^2 +x^2

289= 225 + x^2

64=x^2

x = 8 m

Answer:

(x-7)(x^2-5)

Step-by-step explanation: