log2(y)=3log3(u)
log5(y)=2log(u) + 3log5(v)
Write y in terms of u and v

Answer:

A)    A(t) = 5000(1 + 0.012)t

B)    A(t) = 106260

Step-by-step explanation:

A) 5000 is the initial amount, 1 + 0.012 is the interest rate, and t represents the years.

B) When we plug 21 into the equation,  we get 106260.

I hope this helps!

Answer:

I'm going to list the answers below in the explanation.

Step-by-step explanation:

JL = 36 False

ML = 36 True

MP = 48.5 Not enough info

Angle JLK = 102 True

Angle PNK = 102 False

MP || PK False

The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!

Good luck and I hope this helps.

9514 1404 393

Answer:

  F, T, T, T, T, F

Step-by-step explanation:

PM and PN are "midlines" of the triangle JKL. As such, they are parallel to and half the length of the side of ΔJKL they don't intersect. The relationships of angles and transversals of parallel lines apply. LMPN is a parallelogram, so opposite sides are the same length.

a) JL is not 36, it it twice that. (F)

b) ML is the same length as PN, 36. (T)

c) MP is half of LK, so is 97/2 = 48.5. (T)

d) ∠JLK corresponds to ∠JMP, so is congruent. (T)

e) ∠PNK corresponds to ∠JLK, so is congruent. (T)

f) MP intersects PK at point P, so cannot be parallel. (F)

Answer:

x = 2/3

Step-by-step explanation:

2(x-2/3)=0

2x-1 1/3=0

2x=1 1/3

Devide both sides by 2

x=2/3

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

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Answer:

I think the answer is B.23

Answer:

b

Step-by-step explanation:

because air is cooler in the mountains so it'll be cold not humid

Answer:

it's D i just took it.

Step-by-step explanation:

Answer:

D. -2x^5y^7 on edge

Step-by-step explanation:

Answer:

12 + 2x  OR  2x + 12

Step-by-step explanation:

2(10) + 2(x - 4)

Distribute;

20 + 2x - 8

Collect like terms;

12 + 2x  OR  2x + 12

Answer:

3 tick marks to the left of 0 would be 3 ad 9 tick marks to the right of 0 would be 9

Step-by-step explanation:

Answer:

he is correct because 20% is the same thing as 1/5 amd 1/5 is the same thing as dividing by 5

Step-by-step explanation:

Answer:

undefined

x = 0

General Formulas and Concepts:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

(8, -3)

(8, 4)

Step 2: Find slope m

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer should be 0.39

The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is 0.39.

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

Given:

A placekicker for a football team makes field goals 85% of the time when kicking from the 20-yard line.

Assuming that field goal attempts can be considered random events.

P = 0.85

n = 5

Standard deviation = √{5 x 0.85 x (1 - 0.85) = 0.79

The probability that the placekicker will make 4 of his next 5 attempts from the 20-yard line is,

= P (X ≥ 4)

= P (X ≥ 3.5)

= 1 - P(X < 3.5)

= 0.39

Therefore, the probability is 0.39.

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Answer:

 =[tex]\frac{55}{2}[/tex]

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

Answer:

[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]

Step-by-step explanation:

[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]

H = 15 + 3t, is the equation representing the height, in inches, of the plant tt months after Angel bought the plant.

Equation is a mathematical and physical statement that describes physical occurrences and the relationship between various physical quantities. It usually consists of basic variables that show physical quantities, but it may also point to a personal variable like your energy.

An equation that has a "equal to sign (=)" either reveals the answer or represents the value of the variable. However, since there is no equal sign in the case of an expression, there can be no clear answer and the value of the concerned variable cannot be displayed.

Given that,

H representing the height, in inches, of the plant

t months after Angel bought the plant

Thus, equation becomes: H = 15 + 3t

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Answer:

x = 8.5

Step-by-step explanation:

4x-5=9+20   (evaluate right side)

4x - 5 = 29   (add 5 to both sides)

4x = 29 + 5

4x = 34   (divide both sides by 4)

x = 34/4

x = 8.5

Answer:

Today : Saturday, 07 November 2020

Hour: 14.28 WIB (Indonesia)

_______________________________

4x - 5 = 9 + 20

= 4x - 5 = 29

= 4x = 29 + 5

= 4x = 34

= x = 34/4

= x = 17/2

= x = 8 1/2

Answer:

the answer is c 0.16

Step-by-step explanation

I just took the test

Answer: 69 hope this helps!

Step-by-step explanation:

garden a:

perimeter=2xlength+2xwidth = 2x(5x(2x-3))+2x(2x-3) = 20x-30 + 4x-6 = 24x-36 / 12(2x-3) feet

garden b:

perimeter= 5x+5 + 4x+2 + 8x-8 = 17x - 1 feet

Answer:

Step-by-step explanation:

garden A

Width (W) = 2x - 3

Length (L) = 5(W)

               = 5 (2x - 3)

               = 10x - 15

Perimeter A = 2L + 2W  (perimeter of a rectangular garden)

                   = 2(10x - 15) + 2(2x - 3)

                   = 20x - 30 + 4x - 6

                   = 24x - 36

garden B

side 1 = 5x + 5

side 2 = 4x + 2

side 3 = 8x - 8

Perimeter B = sides (1 + 2 + 3)  

                   = 5x+5 + 4x+2 + 8x-8

                   = 5x + 4x + 8x + 5 + 2 - 8

                   = 17x - 1

Answer:

Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

[tex]MN = 3x-8[/tex]

[tex]NO=2x-1[/tex]

[tex]OM=5x-22[/tex]

As all the sides are equal, i.e.

[tex]MN=NO=OM[/tex]

as

[tex]MN=NO[/tex]

[tex]3x-8=2x-1[/tex]

Add 8 to both sides

[tex]3x-8+8=2x-1+8[/tex]

[tex]3x=2x+7[/tex]

[tex]x=7[/tex]

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

[tex]MN = 3x - 8[/tex]

       [tex]= 3(7)-8[/tex]

       [tex]=21-8[/tex]

       [tex]=13[/tex]

Hence, the length of MN = 13

[tex]NO = 2x-1[/tex]

       [tex]=2(7)-1[/tex]

       [tex]=14-1[/tex]

       [tex]=13[/tex]

Hence, the length of NO = 13

[tex]OM = 5x-22[/tex]

      [tex]= 5(7)-22[/tex]

      [tex]= 35-22[/tex]

      [tex]=13[/tex]

Hence, the length of OM = 13

Answer:

Step-by-step explanation:

Given

Jayden paid =$155

He purchase =5 books

a shipping and handling fee =$15.

Solution

Cost of books=155-15

= $140

the price of each book=140/5

=$28

Answer:

r = 11

Step-by-step explanation:

Is the question

r - 4 = - 3 + 10

So what's r

r - 4 = -3 + 10      Combine the right

r - 4 =  7              Add 4 to both sides

r - 4 + 4 = 7 + 4

r = 11

Answer:

Step-by-step explanation:

f(x) = 2x³ + ax² - 7a²x - 6a³

= 2x³ - 2a²x + ax² - a³ - 5a²x - 5a³

= 2x(x² - a²) + a(x² - a²) - 5a²(x+a)

= (2x+a)(x - a)(x + a) - 5a²(x + a)

= (x + a)[(2x + a)(x - a) - 5a²]

= (x + a)(2x² - ax - 6a²)

= (x + a)(2x + 3a)(x - 2a)

x-a is the factor of the equation and x + a is not a factor of the equation,

All the roots of the equation are x + a, 2x+3a, x-2a.

"In algebra, a cubic equation in one variable is an equation of the form

ax^3+bx^2+cx+d=0

in which a is nonzero.

The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients a, b, c, and d of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). "

Given equation is [tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3[/tex]

Now,

[tex]f(x) = 2x^3 + ax^2 - 7a^2x - 6a^3\\\\= 2x^3 - 2a^2x + ax^2 - a^3 - 5a^2x - 5a^3\\\\= 2x(x^2 - a^2) + a(x^2 - a^2) - 5a^2(x+a)\\\\= (2x+a)(x - a)(x + a) - 5a^2(x + a)\\\\= (x + a)[(2x + a)(x - a) - 5a^2]\\\\= (x + a)(2x^2 - ax - 6a^2)\\\\= (x + a)(2x + 3a)(x - 2a)[/tex]

Hence, the roots of the equation are x + a,  2x  +3a,  x - 2a.

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Answer:

B and C

Step-by-step explanation:

Both B and C

B)

2/5 = 0.4 (which terminate as decimals)

Similarly

C)

-1/4 = -0.25 (also terminates)

But A and D do not terminate

As for A) 1/3= 0.33333333..........

and for D) 7/9= 0.777777777......

In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.

Hope you understand. Thank you.

Answer:

3

Step-by-step explanation:

combine like terms (so 1/2 and 3/2): 2 - x = x - 4

add x to both sides: 2 = 2x - 4

add 4 to both sides: 6 = 2x

divide both sides by 2: 3 = x

Answer:

f(2) = -2

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 12

f(2) is x = 2

Step 2: Solve

Answer:

f ( 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 5x - 12            Function

Step 2:

f ( 2 ) = 5 ( 2 ) - 12          Input x

Step 3:

f ( 2 ) = 10 - 12        Multiply

Answer:

f ( 2 ) = - 2

Hope This Helps :)  

Answer:

3t = 60

Step-by-step explanation:

2(3t - 10) = 40 + 3t

6t - 20 = 40 + 3t

3t - 20 = 40

3t = 60

If you need to simplify that then the answer would be t = 20.