2
Solve the equation log, (3t+9) - log, 21 =1

Answers

Answer 1

Answer:

67

Step-by-step explanation:

log(3t+9)-log21 = 1

Applying, the law of logarithm,

log(3t+9)/21 = 1

converting the log into index

(3t+9)/21 = 10

solving for t

3t+9 = 21×10

3t+9 = 210

3t = 210-9

3t = 201

t = 201/3

t = 67


Related Questions

The owner of a new pet store wishes to display tropical fish in display tanks. The above table shows the species that cannot live together. What is the minimum number of different tanks needed to safely house all the fish?

Answers

Answer:

The minimum number of different tanks needed to safely house all the fish is:

3 tanks.

Step-by-step explanation:

To identify the minimum number of different tanks, we're gonna concentrate in a fish species, in this case can be the A: as you see in the table, the A species can live with all the fish excepting the F and G, by their side, the F and G can't live together , by this reason, this three species must live in a different tank, in the next form:

Tank 1: A Tank 2: F Tank 3: G

Now the B species, it can live with A, F and G, but for this example we can put in the tank 1 (the tank of the A species). The C especies can live with A, F and G, but how we have A and B together, we're gonna put the C especies in the tank 3 (the tank of the G especies). The D species can live with A and G, we're gonna put in the tank 1 because can live with B species too. The E species can live with A and F, we're gonna put in the tank 2 (the tank of the F species) because the E species can't live with D that is in the in the tank 1. Al last, the H species just can live with A, E, F, and H species, by this reason, the only tank that can be put is the tank 2. In this form, the order is the next:

Tank 1: A, B, D. Tank 2: F, E, H. Tank 3: G, C.

And the owner of the pet store must buy three different tanks to display these tropical fish.

If a circle has a diameter of 16 feet, which expression gives its area in square
feet?
A. 8^2•r
B. 16^2 •r
C.8•r
D. 16•r

Answers

Answer:

Area of a circle is denoted by: πr^2 where r is the radius of the circle. = 16/2 = 8 feet.

Step-by-step explanation:

Jamie's chemistry textbook weighs 7/10 of a pound and his geometry textbook weighs 3/5 of a pound. How much more does the chemistry textbook weigh than the geometry textbook?

Answers

Jaime’s chemistry textbook weighs 0.1 pound more than his geometry textbook. In fraction form, it is 1/10 pound more.

PLEASE HELP !!!!! Which type of conic section is described by the following equation?
(y - 3)2/4^2- (x+2)^2/6^2=1

A. Circle
B. Parabola that opens up
C. Parabola that opens down
U O
D. Hyperbola opening left and right
E. Ellipse
E Hyperbola opening up and dow

Answers

Answer:

F

Step-by-step explanation:I just took the test

1. What is the difference between the arithmetic mean and geometric mean between 3 and 27 is

a) 15 b) 6 c) 12 d) o​

Answers

Answer:

So I did my work so many times and I got 9 but I don't know Imaooo sry :)

Step-by-step explanation:

An elevator is moving up at a rate of 5 feet each second. The elevator is now at street level. When will the elevator be 30 feet above street level? Write a division sentence using integers to represent this situation.

Answers

Answer:

Time = (30 ÷ 5) seconds

Step-by-step explanation:

It is moving up at the rate of 5 ft/s.

This means;

Distance moved ÷ time taken = 5 ft/s

Thus, for a distance of 30 ft above street level, the time taken will be calculated from

30 ÷ time taken = 5

Time to reach the given distance = 30 ÷ 5

In division sentence, it is composed of division symbol and equal to sign.

write a function rule for the table
f (x) = 3x

Answers

The only function rule that works is A.

Instead of using f(x) - use y

Then place the numbers in for x and see which are true. The answer is A

If you were asked to equate the sides of an equation, how would you do that​

Answers

Answer:

you would divide an equation from the multiple and then you would simplify the equation for an answer

Find the missing Angles

Answers

1. a = 68

b = 112

c = 68

2. a = 127

3. a = 35

b = 40

c = 35

d = 70

4. a = 20

b = 70

c = 20

d = 70

e = 110

5. a = 90

b = 90

c = 42

d = 48

e = 132

6. a = 70

b = 55

c = 25

Which graph represents a function?

Answers

The 2nd one I hope this helps

Three friends went to a book shop the first bought three bros and four pencils for $30.00. The second bought two Bros and five pencils for $27.00 . If the third bought a bro and a pencil only how much did they pay .​

Answers

Answer:

total 66$

Step-by-step explanation:

let price of bro s be x and pencil be y

according to Qn

at 1 cond

3x+4=30____(1)

2x+5y=27____(2)

solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$

GIVING BRAINLIEST ANSWER PLZ ';CCC

Answers

Answer:

slope= difference in y ÷difference in x

=y-y1÷x-x1

=-3-(-1)÷-3-1

=-3+1÷-3-1

=-2÷-4

=1/2

Step-by-step explanation:

hope this is helpful

Y2 -Y1 ÷ X2-X1

-1 - 1 ÷ -3 - -3= 0.5 or 1/2

Tamisha's shampoo bottle holds 1/2 bottle of shampoo.She used 5/6 of the bottle.How many gallons of shampoo has Tamisha used?

Answers

Answer:

5/12

Step-by-step explanation:

1/2 x 5/6 = 5/12

Helppp and explain pls and thankyou ,I will mark brainlist

Answers

Answer:

4x = 6 + x

3x = 6

x = 2

2 hours..$8

Step-by-step explanation:

What are the solutions to the quadratic equation 3(x – 42 = 752

Answers

X=292.6

Step 1: distribute 3 through parentheses
3x-126=752

Step 2: move the constant to the right and change it sign
3x= 752+126

Step 3: add the numbers
3x= 878

Step 4: divide both sides by three
X= 878/3 or 292.6

Question 22 (5 points)
If the legs of a right triangle are 20 units and 21 units, what's the length of the
hypotenuse?
29 units
4.4 units
6.4 units
22 units

Answers

through my working i got to 41² is the hypotenuse.

21²+20²=c²

factor out the square

(21+20)²=c²

41²=c²

and 41² is 1681

Answer:

29 units

Step-by-step explanation:

i just took the quiz

Solve the qn in attachment .​

Answers

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct.

Answer:

[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1)}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2} \\ \frac{ - 4x + 7}{2(x - 1)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]

Please help me ASAP!!!

Answers

Answer:

[tex]108 in^{2}[/tex]

Step-by-step explanation:

[tex]===========================================[/tex]

Formulas:

Area of a rectangle/square:

[tex]A=lw[/tex]

Area of a triangle:

[tex]A=bh\frac{1}{2}[/tex]

[tex]===========================================[/tex]

To find the square, length*width. Both the length and width are 6, so the area of the square is 36 in.

The triangles all have a base of 6 and a height of 6. So, 36 divided by 2 or multiplied by [tex]\frac{1}{2}[/tex]

You would get 18 in.

There are 4 triangles, so multiply 18 by 4. 72 in.

Add up 36 and 72.

The answer is 108.

[tex]===========================================[/tex]

[tex]108 in^{2}[/tex]

Which value is 10,000 times larger than 1,300?
Explain.

Answers

13,000,000 is the answer.

Which value is 10,000 times larger than 1,300?

answer= 1300×10000

= 13,000,000

Tres ómnibus de tres empresas diferentes salen simultáneamente de la estación terminal a las 9 hs a que hora habrá una nueva Coincidencia si una empresa sale cada 90 minutos otro cada 120 minutos y el tercero cada 180 minutos

Answers

Respuesta:

3.00 p. M.

Explicación paso a paso:

El autobús sale en el Times simultáneamente a las 9 a.m.

Si cada autobús sale de la siguiente manera:

Bus A = cada 90 minutos

BUS B = cada 120 minutos

Bus C = cada 180 minutos

Para obtener la hora, los 3 buses volverán a salir simultáneamente:

Obtenga el mínimo común múltiplo de:

90 = 90, 180, 270, 360, 450, 540

120 = 120, 240, 360, 480, 600, 720

180 = 180, 360, 540, 720, 900

El mínimo común múltiplo es 360 minutos; por lo tanto, los 3 autobuses saldrán después de 360 ​​minutos;

360/60 = 6 horas

9.00 a.m + 6 horas = 3.00 p.m

what is the length of segment QV ?, NO LINKS.

Answers

Answer:

44 units

Step-by-step explanation:

TS = TQ

2x + 8 = 40

2x = 32

x = 16

QV = SV

QV = 3x - 4

QV = 3(16) - 4

QV = 48 - 4

QV = 44

The pair of equations y = 0 and y = -7 has how many solutions?

Answers

Answer:

2 solutions so it can be inferred that it might be a quadratic

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

y = 0 and y = - 7 are horizontal parallel lines.

Since they are parallel, they never intersect and so have no solutions.

Choose the appropriate word or phrase from the drop down menu to complete the sentences: The mean of the quantitative variable of interest in the population is called the [ Select ] . The mean of the quantitative variable of interest in the sample is called the [ Select ] . The standard deviation of the quantitative variable of interest in the population is called the [ Select ] . The standard deviation of the quantitative variable of interest in the sample is called the [ Select ] .

Answers

Answer:

1. Population mean

2. Sample mean

3. Population standard deviation

4. Sample standard deviation

Step-by-step explanation:

Required

Complete the gaps

The answer is self-explanatory.

All you need to do in this question is to look for the keywords (mean/standard deviation) and (population/sample).

In addition, the symbol of the parameters are:

1. Population mean [tex]\mu[/tex]

2. Sample mean [tex]\bar x[/tex]

3. Population standard deviation [tex]\sigma[/tex]

4. Sample standard deviation [tex]\sigma_x[/tex]

Write a decimal number that is equivalent to 12 hundredths.

Answers

0.12
the number 0 is in the ones place, the number 1 is in the tenths place and the number 2 is in the hundredths place.

razones y proporciones. un pelotero profesional ha bateado 14 imparables , en 40 turnos al bate . hallar la razón entre las veces que ha bateado de imparable y los turnos que ha tenido que batear.

Answers

Answer:

El pelotero ha bateado imparables en el 35% de sus intentos.

Step-by-step explanation:

Dado que un pelotero profesional ha bateado 14 imparables en 40 turnos al bate, para hallar la razón entre las veces que ha bateado imparables y los turnos que ha tenido que batear se debe realizar el siguiente cálculo:

14 / 40 = X

0.35 = X

0.35 x 100 = 35

Por lo tanto, el pelotero ha bateado imparables en el 35% de sus intentos.

Equation for the length of a rectangle is two more than three times the width area is 161

Answers

Answer:

l = 3w+2

l = 23

Step-by-step explanation:

The area of a rectangle is

A = lw  where l is the length and w is the width

l = 3w+2

A = 161

161 = (3w+2) *w

Distribute

161 = 3w^2 +2w

Subtract 161 from each side

0=3w^2 +2w -161

Factor

0=(w-7)(3w+23)

Using the zero product property

w-7 =0   3w+23 =0

w=7  w = -23/3

Since the width cannot be negative

w=7

l = 3w+2

l = 3(7)+2

l = 21+2 = 23

Length = 3w + 2 = 23.

Step-by-step explanation:

Given :-

The length of a rectangle is two more than three times the width = ( 3w + 2 )Let width of rectangle be w.Area of rectangle = 161.

Find :-

Length of rectangle .

Solution :-

We know that ,

Area of rectangle = Length × Width.

Substitute the values

161 = (3w + 2) × w

Distribute w .

161 = 3w² + 2w

Move constant to the left-hand side and change their signs.

0 = 3w² + 2w - 161

Split the middle term- 2w as 23w - 21w.

0 = 3w² + 23w - 21w - 161.

Factor out w from first pair and -7 from second pair.

0 = w ( 3w + 23 ) -7 ( 3w + 23)

Factor out 3w + 23.

0 = (3w + 23 ) ( w - 7)

Using zero product property.

w - 7 = 0 , 3w + 23 = 0

Solve for w.

w = 7 , w = -23/3

Since, width of rectangle can't be negative.

so, w = 7 is right value of width.

Calculate for Length.

length = 3w + 2 ( plug the value of width)

length = 3 ( 7 ) + 2 Length = 21 + 2

Hence, length = 23

A man borrows $800 for 2 years at a simple interest rate of 20%. What is the total amount that must be repaid

Answers

Answer: [tex]\$1120[/tex]

Step-by-step explanation:

Given

Man borrows $800 for 2 years

Rate of interest is R=20%

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

Insert the values

[tex]\Rightarrow S.I.=\dfrac{800\times 20\times 2}{100}\\\\\Rightarrow S.I.=\$320[/tex]

So, total payable amount is

[tex]\Rightarrow 800+320\\\Rightarrow \$1120[/tex]

Martin was selling tickets for a basketball game in a high school. He sold
1,250 tickets and the total amount collected for the game was $2,750. The
student tickets cost $2 each, and adult tickets cost $3 each. How many
student and adult tickets were sold?

Answers

Answer:

1,000 student tickets.250 adult tickets.

Step-by-step explanation:

2x + 3y = 2750

x + y = 1250

where x is student tickets and y is adult tickets

x = 1250 – y

2x = 2500 – 2y

(2500 – 2y) + 3y = 2750

2500 + y = 2750

y = 250 →

x + y = 1250

x = 1000

Which expression has a value of 15 when n = 7?

1: 43 minus 5 n
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction

Answers

Answer:

[tex]19-\frac{28}{n}[/tex] is the expression with the value of 15 when n = 7

Step-by-step explanation:

To find the expression whose value is 15, substitute the value of n = 7 in each given expression.

Expression 1:

[tex]43-5n[/tex]

Substitute the value of n & simplify,

[tex]43-5(7)[/tex]

[tex]43-35=8[/tex]

Since the value of the expression is 8 which is not equal 15.

Hence expression [tex]43-5n[/tex] does not have value of 15 when n = 7.

Expression 2:

[tex]3n-5[/tex]

Substituting the value of n & simplify,

[tex]3(7)-5[/tex]

[tex]21-5=16[/tex]

Since the value of the expression is 16 which is not equal 15.

Hence expression [tex]3n-5[/tex] does not have value of 15 when n = 7.

Expression 3:

[tex]6n-28[/tex]

Substituting the value of n & simplify,

[tex]6(7)-28[/tex]

[tex]42-28=14[/tex]

Since the value of the expression is 14 which is not equal 15.

Hence expression [tex]6n-28[/tex] does not have value of 15 when n = 7.

Expression 4:

[tex]19-\frac{28}{n}[/tex]

Substituting the value of n & simplify,

[tex]19-\frac{28}{7}[/tex]

[tex]19-4=15[/tex]

Since the value of the expression is 15 which is equal 15.

Hence expression [tex]19-\frac{28}{n}[/tex] has the value of 15 when n = 7.

what do you understand by socialization​

Answers

Socialization is the lifelong process through which people learn the values and norms of a given society.
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