If zt ⋅ z5 = z15 , what is the value of t ?

Answers

Answer 1

Answer:

t = 10

Step-by-step explanation:

z^t ⋅ z^5 = z^15

We know that a^b*a^c = a^(b+c)

z^(t+5) = z^15

Since the bases are the same, the exponents are the same

t+5 = 15

t = 15-5

t = 10


Related Questions

HELPPPPP!!!!!!!!!!!!!!!!!!!

Answers

8o+12y=362
12o+8y=388
Im choosing “o” for orchid and “y” for lily
20o+20y=750
20o=750–20y
o=37.5–y
(37.5–y)+20y=750
-y+20y=712.5
19y=712.5
y=37.5

So, lilies sell for $37.50

46. Order these numbers from least to greatest:
1/2, 0.4, 1/3, 1/5

Answers

Answer:

1/5, 1/3, 0.4, 1/2

Step-by-step explanation:

1/5 = 0.2

1/3 = 0.33

1/2 = 0.5

In a survey 25% of the people said they live in a city of 60 people said they live in a city how many people were surveyed

Answers

Step-by-step explanation:

You said:

'25% of the people = 60 people "

' 25% ' means 0.25

'of ' means ' times'

So people (0.25) x (the people) = 60

the people=60/0.25

the people=6000/25

the people=240

Answer:

Step-by-step explanation:

Let the number of people = x

25% of x = 60

            [tex]\dfrac{25}{100}*x=60\\\\x=\dfrac{60*100}{25}\\\\x=60*4\\\\x= 240[/tex]

Find the volume of a cone
4
6
pleaseeeeee help

Answers

Answer:

6 is the answer pls mark me branilest

Pls help a couple more questions left pls.

Answers

Answer: Amir Is Right

Step-by-step explanation: 4 seconds and it made 8 clicks

4/8 is 2  and the check if its right you can do 2x4 to get the clicks that were made in 4 seconds.

Answer:

Amir is correct.

Step-by-step explanation:

To find the cps (clicks per second), divide the clicks by the number of seconds.

[tex]\frac{8 clicks}{4 seconds}[/tex]

Simplify the fraction.

[tex]\frac{2 clicks}{1 seconds}[/tex]

Since 2 over 1 is really just 2 and the line of the fraction can be read as "per", we could re-write the above fraction in words as:

2 clicks per second

Therefor, Amir is correct.

Find an equation of the line L that contains the points (0,0) and (5,3)

Y =

Answers

Answer:

y = (3/5)*x

Step-by-step explanation:

First, we can use the slope-intercept form of a line, or y=mx+b

To find the slope, m, we can find

(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have

(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5

Therefore, our equation is

y = (3/5)x + b

To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in

y = mx + b

0 = (3/5)*0 + b

0 = b

Our equation is therefore

y = (3/5)*x + 0

= (3/5)*x

Find the lcm of 9 and 27

Answers

Answer:

The answer you are looking for is 27.

Step-by-step explanation:

The reason is because 27 is the 3rd multiple of 9.

Answer:

27

Because

[tex]9 = {3}^{2} \\ 27 = {3}^{3} \\ so. \: \: \: lcm = {3}^{3} = 27[/tex]

calculate the gradient of the straight line that passes through G(-6,4) and H(2,-4)​

Answers

Answer:

-1

Step-by-step explanation:

gradient = [tex]\frac{y1-y2}{x1-x2}[/tex]

= (4-(-4))/ (-6-2) = 8/-8 = -1

I need answers asap!!!!!!!

Answers

Step-by-step explanation:

with God everything is possible

explanation

because we go to church

Cupcakes Promotion All cupcakes at $2 each !
Buy 8 and get 1 free!

How many cupcakes will Fatimah get if she paid $80 during the promotion?​

Answers

Answer:

45

Step-by-step explanation:

....................

Hey there! I'm happy to help!

We see that the cupcakes are $2, but for every 8 you buy you get 1 free.

So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.

Let's see how many times $16 goes into $80.

80/16=5

So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.

9*5=45

So, Fatimah will get 45 donuts during the promotion.

Have a wonderful day and keep on learning! :D

The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 13 vans and 6 buses with 278 students. High School B rented and filled 10 vans and 12 buses with 428 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.​

Answers

Answer:

8 students in van, 29 students in bus

Step-by-step explanation:

To find the number of students in each van and bus, we can use system of equations to solve. Our first step is to create one equation for High School A and B. Let's use x for vans and y for buses, but ultimately, the variables don't matter that much.

High School A: 13x+6y=278

High School B: 10x+12y=428

Let's use elimination method to solve. We would multiply the first equation by 2.

26x+12y=556

10x+12y=428

Now that the 12y is the same in both equations, let's eliminate y by subtracting the 2 equations.

 26x+12y=556

-(10x+12y=428)

          16x=128

With 16x=128 left, we can just solve for x.

16x=128               [divide both sides by 16]

x=8

Now that we have x=8, we can plug that into the equations above to find y.

13(8)+6y=278     [multiply]

104+6y=278       [subtract both sides by 104]

6y=174                [divide both sides by 6]

y=29

With x=8 and y=29, we know that there are 8 students in each van and 29 students in each bus.

Step-by-step explanation:

Let,

No. of students in vans = x

No. of students in bus = y

In case 1

13x + 6y = 278(1)

In case 2

10x + 12y = 428(2)

On multiplying eq. 1 by 2

2(13x + 6y) = 2(278)

26x + 12y = 556 (3)

On subtracting 2 and 3

26x + 12y - (10x + 12y) = 556 - 428

26x + 12y - 10x - 12y = 128

16x = 128

x = 128/16

x = 8

From 1

13(8) + 6y = 278

104 + 6y = 278

6y = 278 - 104

6y = 174

y = 174/6

y = 29


In the expression 2ab + b - 3b2 + 4, the coefficient of b is:

Answers

Answer:

coefficient of b

there are 3 b's in this expression so there will be 3 coefficient

in 2ab it will be 2a

in b it will be 1

in -3b2 it will be -3

ccc

so the coefficients are 2a , 1, -3

In which step did Rob make a mistake?

Step 1: = 6 + 4 x 3 -10/5

Step 2: = 10 x 3 - 10/5

Step 3: = 30 - 10/5

Step 4: =20/5

Step 5: 4

Question 1 options:

Step 1


Step 2


Step 3


Step 4


Step 5

Answers

Answer:

Explanation:

Using the PEMDAS rule:
P = parentheses
E = exponent
M = multiplication
D = division
A = Addition
S = subtraction

Step 1: 6 + 4 x 3 - 10/5

Step 2: 6 + 12 - 2

Step 3: 18 - 2

Step 4: 16


Solve S = 2trh for h

Answers

Answer and Step-by-step explanation:

To solve for h, divide everything from both sides to get h by itself.

[tex]\frac{S}{2tr} =h[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water

You are taking hang-gliding lessons. The cost of the first lesson is one and a half times the cost of each additional lesson. You spend $260 for six lessons.

Answers

So, givens: total lesson cost of $260, total lessons taken are 6, and the first lesson costs 1.5 (or 3/2) as much as the additional lessons.

First thing to do is to figure out how many additional lessons are in that, which are 5.

Then you can make a 1 variable equation with the information you have. I’m using x as my variable.

260= 3/2x + 5x

Combine like terms.

260 = 13/2x

Divide both sides by 13/2 (treat it as a fraction, and if your calculator cannot make fractions, then decimal might help for this. 13/2=6.5)

X=40

EXTRA POINTS MARKING BRAINLIEST!!!

ABCD is a parallelogram prove CDB=CAB and <ABD=<ABD​

Answers

2x-5y+7z=6

x-3y+4z=3

3x-8y+11z=11

Which equation should you solve to find X?
10
х
26
9
A. tan 26°
9
2
B. cos 26°
io
O C. cos 26°
9
10
D. sin 26°
10
N

Answers

Answer:

From SOHCAHTOA

Sine=Opp/Hyp

Sin26 = x/10

This is the appropriate eqn to solve this

OPTION D IS YOUR ANSWER!

if the replacement set for the independent variable of the function f(x)=2x^2+1 is {2,4,6,10} what is the corresponding set for the dependent variable

Answers

9514 1404 393

Answer:

  {9, 33, 73, 201}

Step-by-step explanation:

Put each of the values in place of the variable and do the arithmetic. For example, ...

  f(10) = 2(10)² +1 = 201 . . . . . 201 is in the output set, corresponding to x=10.

__

I find repetitive calculations are done easily by a graphing calculator or spreadsheet.

The corresponding set for the dependent variable is {9, 33, 73, 201}.

Given CH with C(2, 1) and H(-2,-15), find
the coordinates of E if E divides CH three
fourths of the way from C to H.

Answers

The coordinate of E will be (1, -3) if the coordinates of E if E divides CH three -fourths of the way from C to H

Midpoint of a line is a point that divides a line into two equal parts.

If the line is divided in the ratio a:b, then the midpoint formula will be expressed as:

[tex]M(X,Y) =(\frac{ax_1+bx_2}{a+b}, \frac{ay_1+by_2}{a+b})\\[/tex]

Given the coordinate points, C(2, 1) and H(-2, 15) divided in the ratio of 3:4

[tex]X = \frac{3(2)+1(-2)}{3+1}\\X= \frac{6-2}{4}\\X=\frac{4}{4}\\X = 1[/tex]

Get the coordinates Y:

[tex]Y = \frac{3(1)+1(-15)}{3+1}\\Y= \frac{3-15}{7}\\Y=\frac{-12}{4}\\Y= -3[/tex]

This shows that the coordinate of E will be (1, -3)

Learn more here: https://brainly.com/question/3510899

Find the product of 3 square root 12 and 4 square root 12 in simplest form. Also, determine whether the result is rational or irrational

Answers

9514 1404 393

Answer:

  144, rational

Step-by-step explanation:

The product is ...

  (3√12)(4√12) = (3)(4)(√12)^2 = 12·12 = 144, a rational number

form simultaneous equations and solved using only one method.
In the two digit number the unit digit is thrice the tens digit if 36 is added to the number the digits interchange their place find the number ​

Answers

Answer:

4

Step-by-step explanation:

12x+36=10{2x}+x

=12x+36=21x

=21x-12x-36

=9x=36

=4

What is 2 5/6 + 7/4
A. 2 2/5
B. 3 1/5
C. 3 4/5
D. 4 7/12

Answers

Answer:

D

Step-by-step explanation:

2 5/6=2 10/12

7/4=1 3/4= 1 9/12

2 10/12+1 9/12= 4 7/12

you can just change the denominators to the same which is 12. Hope you appreciate it!

Blake and Jordan bought the same type of candy bar. Blake ate 3/4 of his candy bar and Jordan ate 5/8 of his. How much more of a candy bar did Blake eat than Jordan?

Answers

Answer:

The answer would be 3/4 > 5/8

Giving brainly for correct answers

Answers

Answer:

C

Step-by-step explanation:

Integers are only positive and negative numbers:)

also 0

fractions are not integers

Answer:

1/2

Step-by-step explanation:

c is the correct answer

ommunity Wellness Complex is being built in Del Rio. The perimeter of the rectangular playing field is 366 yards. The length of the field is 5 yards less than triple the width. What are the dimensions of the playing
his yards.
ath is yards

Answers

Let width be xLength=3x-5

[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \rm\longmapsto 2(x+3x-5)=366[/tex]

[tex]\\ \rm\longmapsto 2(4x-5)=366[/tex]

[tex]\\ \rm\longmapsto 4x-5=\dfrac{366}{2}[/tex]

[tex]\\ \rm\longmapsto 4x-5=183[/tex]

[tex]\\ \rm\longmapsto 4x=183+5[/tex]

[tex]\\ \rm\longmapsto 4x=188[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{188}{4}[/tex]

[tex]\\ \rm\longmapsto x=47[/tex]

[tex]\\ \rm\longmapsto 3x-5=3(47)-5=141-5=146[/tex]

. Point C is on line segment AB
so the ratio of AC to CB is 1 to
3. What are the coordinates of
Point ?

Answers

Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

3AC=CB

CB

AC

=

3

1

Since, A(1,1) and B(2,3) & m:n=1:3

Therefore, we have

C(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(

1+3

(1)(2)+3(1)

,

1+3

(1)(3)+3(1)

)

C→(

4

5

,

2

3

).

one month, ruby worked 6 hours more than isaac, and svetlana worked 4 times as many hors as ruby. together they worked 114 hours. find the number of hours each person worked

Answers

Answer:

Ruby = 18+6=24

Isaac = 18

Svetlana = 4*18=72

24+18+72=114

Step-by-step explanation:

Ruby= x+6

Isaac= x

Svetlana = 4x

x+6+x+4x = 114

6x = 114 - 6

x = 108/6

X = 18

Which of the following expressions is correct?
|-37| = 37
-|37| = 37
|-37| = -37
-|-37| = 37

Answers

l-37l=37 is the correct answer.

correct ans will get brainlist pls help!!asap ​

Answers

Answer:

(a) 0.000000000503          (b) 800700000

Step-by-step explanation:

Hope this helps :)

Answer:

= 0.000000000503

Step-by-step explanation:

I assume it wants the answer as an ordinary number so its = 0.000000000503

Hope this helps!

Estimate 26 to the nearest tenth. Then locate 26 on a number line.

Answers

Answer:

30 is the nearest tenth of 26

Other Questions
Stowing items and come across an aerosol battle of hairspray what should you do? the apostle paul's teachings were consistent with what belief system in that they emphasized the equality of human beings??A. Greek Beliefs.B. MonarchiesC. Democracy. D. Roman beliefs. Why does America use miles but everyone else kilometers? The bond formed between two nonmetal atoms is called a(n) bond. This type of bond arises from the net attraction between the of each atom and the electrons of the other, and results in electrons being between the two atoms. Listen to the complete question Is quadrilateral DEFG a parallelogram? Why or why not?Question 2 options:A) Yes, because adjacent angles aren't supplementary.B) No, because adjacent angles aren't congruent.C) There isn't enough information. D) Yes, because opposite angles are congruent. 4 2(x + 7) = 3(x + 5) Parte 1. Choose the subject pronoun that can substitute for theunderlined word(s).Escoge los pronombres que sustituyen las palabrassubrayadas.1. Las chicas son de Espaa.a. Ellas b. Ellos c. Nosotros2. La computadora es de Andrea.a. ellas b. ellac. el3. Pablo y Berta son profesores.a. lb. Ellosc. Ellas4. El conductores de los Estados Unidos.a. Yob. Tc. El5. Mnica, de dnde eres?b. Ella6. Quin es el seor Arango?a. nosotros b. ellosca7. Los mapas son de las chicas.a. nosotras b. ellasc. ellos8. La turista es estudiante.a. Yob. Elc. Ella9. Diego y yo somos hombres.a. Ellosb. Nosotros c. Nosotrasa. Tuc. Ela. Yo10. El autobs es de Daniel.a. ellasb. elc. ellos11. Las mujeres son jvenes.b. Ellosc. Ellas12. Laura Camila y yo somos unas chicas de Ecuador.a. Nosotras b. Tuc. Ellas13. Carolina, eres la chica de la fotografia?a. Nosotrasb. Tu14. De dnde son los pasajeros?b. ella15. Son las maletas de la estudiante.a. yob. ellac. ellasc. Yoa elc. ellos What's a good example using the word genocide? In your own words ? Which resident may a temporary feeding assistant?a. A resident with dementia b. A resident with swallowing problems c. A resident who has a tendency to aspirate or choke d. A resident who receives IV feedings A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy? Which system of inequalities is represented by the graph? y12x+2y2x1y4 y>2x+2y12x1y4 y 1. The plane .. (leave) Buenos Aires at midnight last night. I need help with this problem and please show step by step what would u change about yourself if u could Please help Q15!!!it will mean a lot +20 points what did Charles darwin discover on the galapagos islands? Multiply (FOIL)( x - 3)( 2x + 5)(3x + 7)(2x - 1) PLEASE HELP PLEASE PLEASE PLEASEAlvin's age is three times Elga's age. The sum of their ages is 112. What is Elga's age? What is DNA barcoding? Tech A says that open loop is when the PCM pretty much ignores the oxygen sensor signals. Tech B says that closed loop is when the PCM shuts off the fuel injectors during a collision. Who is correct