please i have 15 minutes​

Please I Have 15 Minutes

Answers

Answer 1

Answer:

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]

Step-by-step explanation:

[tex] 2^x = 7^{x + 1} [/tex]

Take the log of both sides.

[tex] \log 2^x = \log 7^{x + 1} [/tex]

Use properties of log.

[tex] x \log 2 = (x + 1) \log 7 [/tex]

[tex] x \log 2 = x \log 7 + \log 7 [/tex]

[tex] x \log 2 - x \log 7 = \log 7 [/tex]

[tex] x(\log 2 - \log 7) = \log 7 [/tex]

[tex] x = \dfrac{\log 7}{\log 2 - \log 7} [/tex]

[tex] x = \dfrac{\log 7}{-(\log 7 - \log 2)} [/tex]

[tex] x = \dfrac{-\log 7}{\log 7 - \log 2} [/tex]


Related Questions

verify that :- 5/8x(7/9-11/6)=(5/8x7/9)-(5/8x11/6)

please answer​

Answers

The distributive law states that a(b - c) = ab - ac
In this example a = 5/8, b = 7/9 and c = 11/6

CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THINK YOU

Answers

Answer:

[tex]10\frac{7}{18}[/tex]

Step-by-step explanation:

First revert it to improper fraction.

[tex]\frac{13}{2} +\frac{35}{9} \\\\[/tex]

Now put them to a common denominator.

[tex]\frac{187}{18}[/tex]

=> [tex]10\frac{7}{18}[/tex]

Someone please help me thanks

Answers

Answer:

a. 7.2

Step-by-step explanation:

CAH (cos = adj/hyp)

cos53 = b/12; cross multiply

cos53*12 = 7.2

A would be your answer caus i’ve done it

convert 4 years to months​

Answers

Answer:

48 months

Step-by-step explanation:

12 times 4 48

Answer:

48 months

There's 12 months in 1 year.

So we would multiply 12 months by 4 years to get 48 months

Which number(s) below belong to the solution set of the equation? Check all
that apply
x + 9 = 26
A. 17
B. 234
C. 52
D. 35
E. 26
F. 3

Answers

Answer:

A

Step-by-step explanation:

x + 9 = 26

x = 17

Answer:

A.17

Step-by-step explanation:

17+9=26

What are the values of x in the equation x2 - 6x + y =
A)x= -2 or x = 8
B)x= -1 or x = -11
C)x= 1 or x = 11
D)x = 2 or x = -8

Answers

The correct answer is A

a rule in quadratic equ states that

if summation of the roots should be -b/a of the equa

comparing the equ x² - 6x + y=0

with. ax² + bx +c =0

we see that in the equ, a= 1, b=-6

so the sum of the roots is -(-6)/1= +6

looking the the option the only one that agreed is option A

-2 + 8= 6

there fore the values of x are -2 or 8

what is the product of 172837286 and 17368364????

Answers

Answer:

3.0019009e+15

Step-by-step explanation:

the word and is multiplication so multiply the two numbers

Answer:

3.001900896*10^15 is the answer

Find the missing side

Answers

Answer:

x=21

Step-by-step explanation:

they are corresponding to each other

¿Cuánto mide el lado de un terreno cuadrado, si su área 144 m2?

Answers

Answer:

72

Step-by-step explanation:

all you had to do was divide by 2

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer:

six and one over twelve

Step-by-step explanation:

1/4 + 5 5/6=1/4+35/6 = 6 1/12

step 1: 5×6+5 6 step 2: 30+5 6

step 3 35

6

step 4 answer = 35

6

which event has exactly 12 possible outcomes?

tossing a coin 6 times

tossing a coin and randomly choosing 1 of 4 different cards

rolling a number cube with sides labeled 1 -6 and then rolling the number cube again

rolling a number cube with sides labeled 1-6 and tossing a coin


please help me TwT

Answers

Answer:

rolling a number cube with sides labeled 1-6 and tossing a coin

Step-by-step explanation:

Role dice and flip coin ;3 úwù

Which expression is equivalent

Answers

Answer:

[tex]\sqrt[6]{2\\}[/tex]

Step-by-step explanation:

Rewriting

2 ^1/2 ÷ 2 ^ 1/3

We know a^ b ÷ a^c = a^ (b-c)

2 ^ (1/2 -1/3)

Getting a common denominator

2^ ( 3/6 - 2/6)

2^ 1/6

[tex]\sqrt[6]{2\\}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:

[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]

Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:

[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]

We just need to subtract 1/3 from 1/2 to get:

[tex]2^{\frac{1}{6} }[/tex]

This is the same as the 6th root of 2, which is the second option.

Consider the trapezoid shown below.
6 in.
4 in.
6 in.
6 in.
(not drawn to scale)

Answers

Answer:

36

Step-by-step explanation:

1/2bh

1/2 (6*4) =12

Considering there are three triangles we will multiply by 3

12*3=36

The root for an equation x²-px+6=0 ls 3. Find the value of p
Jawapan / Anne
IP​

Answers

Answer:

5

Step-by-step explanation:

Given that 3 is a root of the equation x²-px+6=0

To find the value of p, substitute 3 into the equation for x

Hence x²-px+6=0

becomes

3^2 - 3p + 6 = 0

9 -3p + 6 = 0

collect like terms

-3p = -9 - 6

-3p = -15

Divide both sides by -3

p = -15/-3

p = 5

Can someone help me?It's urgent and thank you!

Answers

Answer:

y = square root x2 - 5

Step-by-step explanation:

y=[tex]\sqrt{x} -5[/tex]

(the top option)

pls help my computers about to die lol ​

Answers

Answer:

Elapsed 10 hours and 50 minutes

Step-by-step explanation:

So it's 5:25 pm to 4:15 am.  

It goes by 50 mins to get from 5:25 to 6:15.

Now the hours.

It has passed 10 hours to get 6:15 pm to 4;15 am.

The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

Answers

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $400 and standard deviation $20.

This means that [tex]\mu = 400, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 400}{20}[/tex]

[tex]X - 400 = 20*1.28[/tex]

[tex]X = 425.6[/tex]

$425.6 should be budgeted for weekly repairs and maintenance.

Practice D. Factor each trinomial.
1.
x² – 2x- 8
I
2.
y2 – 13y + 42
3.
m2 - 6m - 7


Help me answer those three factor please

Answers

Answer:

So 1) x²-2x-8

= x(x-2-8/x)

2) y²-13y+42

= y(y-13+42/y)

3) m²-6m-7

= m(m-6-7/m)

Hope it helps

find the value of x and y​

Answers

X=58

58-14= 44
44+58= 102
180-102= 78
78/2=39

Y=39

Answer:

x = 58

y = 39

Step-by-step explanation:

x = 58 (Vertically opposite angles)

x + 2y + (x-14) = 180 (Angles in a straight line)

=> x + 2y + x - 14 = 180

=> 2x + 2y = 180 + 14

=> 2(58) + 2y = 194

=> 116 + 2y = 194

=> 2y = 194 - 116

=> 2y = 78

=> y = 78/2

=> y = 39

solve for " x "

[tex]x = 42 - 9[/tex]

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\:33}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]x = 42 - 9[/tex]

➼[tex]\:x = 33[/tex]

Therefore, the value of [tex]x[/tex] is 33.

[tex]\sf\pink{Thank\:you. \:ヅ}[/tex]

Answer:

x =33

Step-by-step explanation:

x = 42-9

We are solving for x, which is already isolated

42-9 = 33

x = 33

Check 33+9 = 42

plsss help (on pic)
First will put brainliest

Answers

Answer:

7 over 2x-2

Step-by-step explanation:

Answer:

g^-1 •7

7g^-1

7•1/g

answer is 7/g

I hoped I helped!! :)

Helpppp and explain :)

Answers

Answer:

Problem 1: 25

Problem 2: 693

Step-by-step explanation:

Problem 1:

f(x) = -5n + 1

g(x) = -6n + 2

(f + g)(-2) = f(-2) + g(-2)

f(-2) = -5(-2) + 1

f(-2) = 10 + 1

f(-2) = 11

g(-2) = -6(-2) + 2

g(-2) = 12 + 2

g(-2) = 14

(f + g)(-2) = 11 + 14

(f + g)(-2) = 25

Problem 2:

f(x) = 7 + 2x

g(x) = 5x - 2

fg(7) = f(7) × g(7)

f(7) = 7 + 2(7)

f(7) = 7 + 14

f(7) = 21

g(x) = 5(7) - 2

g(x) = 35 - 2

g(x) = 33

Therefore:

fg(7) = 21 × 33

fg(7) = 693

а
The radius
of
a circle is 10cm and
the length of a chord is 12 cm.
Then , calculate the distance between
the chord and centre of
a circle

Answers

Step-by-step explanation:

by referring to the diagram,

a = 8

2 Points

(25x

0
The equation ya

represents Michelle's regular

130(x-38) +950 %> 38

hourly and overtime wage. Based on this equation, what is Michelle's

overtime hourly pay?

A. $30

B. $38

O C. $950

O D. $25

Answers

Answer:

The answer is "35.22".

Step-by-step explanation:

Let the given equation:

[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]

Answer: $25

Step-by-step explanation: took the quiz

binomial theorem to expand (x+4)^4

Answers

Answer:

Step-by-step explanation:

(x+4)^2.(x+4)^2

= x^4 +16x^3+96x^2+256x+256

Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
“But if you give me 4 marbles wwe would have the same number said Mary to Sam.
How many marbles do they have altogether?

Answers

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = 4 cos 5θ

Answers

Answer:

y-acis

Step-by-step explanation:

the function graph is symmetric about

- y-axis when it is an even function

-the origin ehen it is an even function

A symmetrical graph about the x-axis is not a function graph

f(×) is a even if and only if f(×) =f(×)

f(×) is a odd if and only f(×)=f(×)

We have the function r(0) = 4cos (50)

(only symmetry about the y-acis or about the origin)

Check r(-0)

r(-0) = 4cos (5-0) = 4cos (-50 = 4 cos (50)

Used cos (-× = cos ×

We have r(0). Therefore the graph of r(0) is symmectric about the y-axis.

A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%

Answers

Answer:

$34,341

Step-by-step explanation:

Given :

Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%

To obtain the best value for the mean salary ; we obtain the weighted average ;

Σ(salary * weight factor) / Σ weight

[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)

= 34341.34 / 1

Average salary = 34341.34

= $34,341 ( nearest dollar)

Please help!! Thank you if you do!!

Answers

I think it is BD but I’m not 100% sure

if f(x)= 10 – 2x and g(x) = 6x - 5, then (f+g)(x) =

Answers

Answer:

4x +5

Step-by-step explanation:

f(x)= 10 – 2x

g(x) = 6x - 5

(f+g)(x) =10 – 2x + 6x - 5

Combine like terms

            = 4x +5

Answer:

( f + g )( x ) = 4 x + 5

Step-by-step explanation:

f ( x ) = 10 - 2 x

g ( x ) = 6 x - 5

( f + g )( x) = ( (10 - 2 x ) + (6 x -5) )

= 10 - 2x + 6 x - 5

combine like terms

= 2 x + 6 x + 10 - 5

= 4 x + 5

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