Find the value of x.

Answer:

DVD Collection: 42 Comedy DVDs, 49 Horror DVDs, 7 Documentary DVDs

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

In triangle ABC and triangle EFD

1. BC = CD (S) Given

2. < BCD = < EFD (A) being vertically opposite. angles.

3. AC = CE (S) Given

Hence

By SAS postulate Triangle ABC and triangle EFD are congruent.

HOPE IT HELPS :)❤

Answer:

3:4

Step-by-step explanation:

divide into simplest form would be 3:4

Answer:

:)

Step-by-step explanation:

9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ7

Answer:

200

Step-by-step explanation:

Answer:

9 miles

Step-by-step explanation:

1/4 of an hour is 15 minutes. So 2 and 1/4 times multiplied by 4 would be the answer beacsue 15 minutes times 4 is an hour.

Answer:

9 mph.

Step-by-step explanation:

We multiply the distance by 4 because there are 4 lots  of a 1/4 in one hour:

That is 2 1/4 * 4

= (9/4) * 4

= 36/4

= 9 m ph.

Answer:

x= -2

x= 14

Step-by-step explanation:

Hope this is useful! have a wonderful night or day, God bless you!

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Savings = \$500[/tex]

[tex]Withdrawal = \$12[/tex] weekly

Required

The question is incomplete as the linear function or table or graph of Melissa's plan is not given.

The available details can only be used to solve the function of the given individual

Let the number of weeks be w.

So: the amount left in w weeks is:

[tex]Amount = Savings - Withdrawal * w[/tex]

[tex]Amount = 500- 12* w[/tex]

[tex]Amount = 500- 12w[/tex]

Represent as a function

[tex]f(w)= 500- 12w[/tex]

To solve the amount left at the end of a certain week (say week 5), simply substitute 5 for w in [tex]f(w)= 500- 12w[/tex]

[tex]f(5) = 500 - 12 * 5[/tex]

[tex]f(5) = 440[/tex]

Answer:

Points B and F are as far apart as how far apart they are.

Step-by-step explanation:

Answer:

329

Step-by-step explanation:

thanks for points have a blessed day

Step-by-step explanation:

329 :) i kinda don't know how to explain

Answer:

3y + 6

Step-by-step explanation:

3 x y = 3y

3 x 2 = 6

3y + 6

Answer:

Option B will be your answer

Step-by-step explanation:

B. The balloon starts at a height of 500 ft and rises at a rate of 150 ft.

hope it helps ^_^

Answer:

the answer is C

Step-by-step explanation:

It shows the line starts at 0.05 a d to get to 3 it has to raise upb150 ft

Answer:

x = 7/10; y = 21/5

Step-by-step explanation:

y = 6x

4x + y = 7

Since the first equation is already solved for y, we can easily use the substitution method. We substitute 6x for y in the second equation and solve for x.

4x + y = 7

4x + 6x = 7

10x = 7

x = 7/10

Now we use the first equation and substitute 7/10 for x and solve for y.

y = 6x

y = 6 * 7/10

y = 42/10

y = 21/5

Answer: x = 7/10; y = 21/5

Answer: A

Step-by-step explanation:

Treat the real and imaginary parts separately, then combine. Because it is addition,  not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).

2+3i+3-5i

2+3+3i-5i

5+ (-2i)

5-2i

Answer:

[tex]\frac{y}{5} + \frac{x}{5}-8[/tex]

Step-by-step explanation:

1)  Simplify 2 /5y to 2y/5.

[tex]\frac{2y}{5} + \frac{1}{5} x-0.2 y-6-2[/tex]

2) simplify 1/5x to x/5.

[tex]\frac{2y}{5} +\frac{x}{5} -0.2y-6-2[/tex]

3) Collect like terms.

[tex](\frac{2y}{5} -0.2y) + \frac{x}{5} +(-6-2)[/tex]

4) Simplify.

[tex]\frac{y}{5}+ \frac{x}{5} -8[/tex]

Therefor, the answer is y/5 + x/5 -8.

Step-by-step explanation:

hence the value of y=-9/4and k=-16.

Answer:

-3

Step-by-step explanation:

slope = Δy / Δx = -6/2 = -3

You would take which ever number is taken to the power sat it was 12 to the power of 2+4, you would take the 12 not the 4, Hope this helps!

9514 1404 393

Answer:

  $109.97

Step-by-step explanation:

Each straight piece of wire is the diagonal of a square that is 3" on a side. The Pythagorean theorem tells you the length of that diagonal is ...

  d = √(3^2 +3^2) = √18 = 3√2 . . . inches

There are 4 such diagonals on each trivet, so the total length of wire for 12 trivets is ...

  (12)(4)(3√2) = 144√2 . . . inches

At a cost of $0.54 per inch, the total cost for 12 trivets will be ...

  ($0.54)(144√2) = $109.97

The cost of the copper wire for making 12 trivets is $109.97.

Answer:

PQ = 29

Step-by-step explanation:

Lengths of the two tangents from a external point to the circle is equal

14x - 13 = 8x + 5  {add 13 to both sides}

    14x = 8x + 5 + 13

   14x  = 8x + 18

14x - 8x = 18

      6x =  18

       x = 18/6

x = 3

PQ = 14*3 - 13

      = 42 - 13

     =  29

Answer:

PQ = 29

Step-by-step explanation:

As we know that,

[tex]\star[/tex] Lengths of two tangents from a external point to the circle is equal.

We've been asked to find out PQ;

Thus,

Answer:

A system of linear equations can have no solution, a unique solution or infinitely many solutions. ... for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.

Answer:

(1,-1)

Step-by-step explanation:

The intersection of the two lines

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17

Answer:

its 2 to the 9th power

Step-by-step explanation:

Answer:

Step-by-step explanation:

height of post ÷ length of shadow = 2/10 = ⅕

height of tower is ⅕ the length of its shadow.

⅕×125 = 25

The tower is 25 feet tall

Answer:

The answer is c.

Step-by-step explanation:

Answer:

Altogether, Greg spent $22.71.

Step-by-step explanation:

1) 5kg × $2.75 = $13.75

Purple beads: Spent $13.75

2) 1/2 kg = 1.5kg

1.5kg × $1.84 = $2.76

Orange beads: Spent $2.76

3) 2kg × $3.10 = $6.20

White beads: Spent $6.20

4) Add them all together.

$13.75 + $2.76 + $6.20 = $22.71

Hope this helps. :)