What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]

Can someone please explain to me in details and show me the steps TvT?

Answers

Answer 1

Answer:

y = -2/7

Step-by-step explanation:

8^(y+2) = 2^4/4^(2y)

you want to on both sides so you can solve for the exponents

8= 2^3

4= 2^2

2^3y+6 = 2^4/2^(4y)

2^(3y+6) = 2^(4-4y)

3y + 6 = 4 - 4y

7y = -2

y = -2/7


Related Questions

3 is subtrated from 9 times 2 and 5 is added

Answers

Answer:

20

Step-by-step explanation:

9*2-3+5

18-3+5

15+5

20

Answer:

Its 20

Step-by-step explanation:

9 x 2 = 18

18 - 3 = 15

15 + 5 = 20

What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2

Answers

Answer:

-5x + 2y=2

Step-by-step explanation:

[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]

Irene made a mistake when she solved this inequality:

Step 1: -6(x + 3) + 10 < -2
Step 2: -6x − 18 + 10 < -2
Step 3: -6x − 8 < -2
Step 4: -6x < 6
Step 5: x < -1

Between which two consecutive steps did Irene make a mistake?

Answers

Answer:

she messed up on step two because she has to subtract 10 from both sides

Step-by-step explanation:

step 1: -6(x+3)+10<-2

step2:-6(x+3)+10-10<-2-10

step3: -6(x+3)<-12

step4: (-6)(x+3)(-1)≥(-12)(-1)

step5:6(x+3)>12

step6:divide both sides by 6

step7:simplify and subtract 3 from both sides and then simplify again

are cans of bottles packaged at a faster rate

Answers

Answer:

yes.. they are

Step-by-step explanation:

because

Solve the equation and enter the value of x below. 2 + 5(x - 9) = -18​

Answers

Answer:

x=5

Step-by-step explanation:

Distributive Property

[tex]2+5x-45=-18\\5x=-18+45-2\\5x=25\\x=5[/tex]

x=5

Hope this helped! Please mark brainliest :)

(2.5, 1.3, 2.2, x), mean = 1.8

Answers

Answer:

please mark me a brainliest

[tex] \frac{2.5 + 1.3 + 2.2 + x}{4} = 1.8[/tex]

[tex] \frac{6 + x}{4} = 1.8[/tex]

6 + X = 1.8 * 4

6 + X = 7.2

X = 7.2 - 6

X = 1.2

So therefore the value of X is 1.2

Step-by-step explanation:

Have a good day

Have a good day And I hope this will help

Mrs.Carlyle bought a bag of peanuts for her children. When Phillip, Joy, Brent, abd Preston came home from school, they each took some peanuts from the bag.

Answers

Whats the question?

This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
B
C
DF
Frequency 5
10
15
3
2.
Find the probability that a student earns a
grade of D or F.
p = [?]
Enter a decimal rounded to the nearest hundredth.

Answers

Answer:

Answer is 0.14.

Step-by-step explanation:

The probability that a student earns a grade of D or F is 0.14.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To find the probability that a student earns a grade of D or F, we need to add the frequencies of these two grades and divide by the total number of students:

P(D or F) = (3 + 2) / 35

P(D or F) = 5 / 35

P(D or F) = 0.14 (rounded to the nearest hundredth)

Therefore,

The probability that a student earns a grade of D or F is 0.14.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ7

QUICK PLEASE
42% of £719.24 Give your answer rounded to 2 DP.​

Answers

Answer:

719.24 is the correct answer

719.24/100 x 42 = 302.0808

Answer rounded to 2 DP = 302.08

Please help asap!!! I'm in hurry please help ​

Answers

Step-by-step explanation:

so, what are we supposed to do with that ?

you forgot to tell us that.

adding them ?

transforming then into expressions of x and y ?

... ?

How much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon

Answers

Answer:

13.9188 dollars

Step-by-step explanation:

1.1599 * 12 = 13.9188

Answer:

1 gallon fill = $1.1599

Step-by-step explanation:

we have to fill 12-gallons

Simple-Answer:

12 gallon  = 12 * $1.1599

12 gallon = $13.9188

pls help me don't know what to do

Answers

Answer:

x=15

Step-by-step explanation:

The 60 degree angle and the (x+45) degree angle are both the same degree because they are vertical angles.

So to solve, just subtract 45 from 60

60-45=15

That's your answer!

Hope this helps!

Someone help, I suck at math

Answers

option A.55°

Answer:

Solution given:

<x+<y=<z

exterior angle of a triangle is equal to the sum of two opposite interior angle

4n-18+n+8=133-6n

5n+6n=133+10

11n=143

n=143/11

n=13

exterior angle =133-6*13=55°

option A.55°

What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?

Answers

Answer:

[tex]y=3x-17[/tex]

Step-by-step explanation:

Parallel equations always share a slope.

So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]

[tex]-5=3(4)+b[/tex]

simplify both sides

[tex]-5=12+b[/tex]

isolate the variable

[tex]-17=b[/tex]

plug [tex]b[/tex] back into the equation and you get

[tex]y=3x-17[/tex]

Answer:

y = 3 x + 11

 Explanation:

Parallel lines have the same slopes.

The slope of the new line will have the same slope as the given line:

y = 3 x − 4

⇒ m = 3

One point on the line is given,  

( − 2  5 ) .

This is  ( x 1  y 1 )

The formula for slope is  

m = ( change in y values/ change in x-values ) =  y 2  −  y 1/ x 2 − x 1

If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.

y  −  y 1 =  m  ( x  −  x 1 )  

y  −  5  =  3 ( x  −  ( − 2 ) )

y  −  5  =  3 ( x + 2 )

Simplify to get the required equation of the line.

y  =  3 x  +  6  +  5

y  =  3 x  +  11

Step-by-step explanation:

Drag numbers to the table so it shows a proportional relationship between x and y.

Answers

Answer:

7.5         30

45         180

Step-by-step explanation:

The given line has x = 1.25 and y = 5.

y/x = 5/1.25 = 4

x is multiplied by 4 to get y since 1.25 * 4 = 5.

That means the equation is

y = 4x

For a proportional function, every value of x must be multiplied by 4 to get y.

x = 7.5

y = 4x = 4(7.5) = 30

7.5          30

We need to find the values for the last line.

11 * 4 = 44

There is no 44

13.75 * 4 = 55

There is no 55.

17.5 * 4 = 70

There is no 70

30 * 4 = 120

There is no 120.

45 * 4 = 180

There is a 180.

45         180

Answer:

7.5         30

45         180

using the diagram below, what is the measure of ∠E?

Answers

Step-by-step explanation:

angle e = 50 degree,,,,,,,


Can any one help me with all these 3 questions? Thank you if you helped :)

Answers

8. rational, integer whole

Answer: Answer already been answered credits to that person give that person brainliest

Step-by-step explanation:

Write in the form a to the power of k, where a is a prime number and k is rational
[tex]\sqrt[4]{27}[/tex]

Answers

The answer is 3 to the 3/4 power.

please I need answer right now ppleassssee

D. -1/4+-2/3
with explanation pleaseeee​

Answers

Answer:

1 - 1/3

Step-by-step explanation:

Since 1/2 * 2/3 = 1/3, it should be the case that 1/3 divided by 2/3 gives 1/2 and that 1/3 divided by 1/2 gives 2/3. To divide fractions, we multiply the numerator by the reciprocal of the denominator, where the reciprocal of a number just interchanges the numerator and denominator of the number.

help pls i’m very confused

Answers

Hello,

A=(1,2) ==> A'=(1,2)+(1,1)=(2,3)

B=(6,2) ==> B'=(6,2)+(1,1)=(7,3)

C=(4,4) ==> C'=(4,4)+(1,1)=(5,5)

D=(1,4) ==> D'=(1,4)+(1,1)=(2,5)

Question 2 of 10
The graph of g(x), shown below, resembles the graph of f(x) = x - x2, but it
has been changed somewhat. Which of the following could be the equation
of g(x)?

Answers

Answer:

option C is correct

x^4 - x^2 - 2.5

If we add any constant c in the function then it gets shifted upward by the c unit. Then the function g(x) is above the function f(x) by 2.5 units.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable.

Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions are g(x) and f(x) are given below.

f(x) = x⁴-x²

g(x) = x⁴-x²+2.5

We know that if we add any constant c in the function then it gets shifted upward by the c unit.

The graph is shown.

More about the function link is given below.

brainly.com/question/5245372

#SPJ7

can someone please help me solve this? thank you!:)

Answers

First, we need to set up our two equations. For the picture of this scenario, there is one length (L) and two widths (W) because the beach removes one of the lengths. We will have a perimeter equation and an area equation.

P = L + 2W

A = L * W

Now that we have our equations, we need to plug in what we know, which is the 40m of rope.

40 = L + 2W

A = L * W

Then, we need to solve for one of the variables in the perimeter equation. I will solve for L.

L = 40 - 2W

Now, we can substitute the value for L into L in the area equation and get a quadratic equation.

A = W(40 - 2W)

A = -2W^2 - 40W

The maximum area will occur where the derivative equals 0, or at the absolute value of the x-value of the vertex of the parabola.

V = -b/2a

V = 40/2(2) = 40/4 = 10

Derivative:

-4w - 40 = 0

-4w = 40

w = |-10| = 10

To find the other dimension, use the perimeter equation.

40 = L + 2(10)

40 = L + 20

L = 20m

Therefore, the dimensions of the area are 10m by 20m.

Hope this helps!

Answer:

Width: 10 m

Length: 20 m

Step-by-step explanation:

Hi there!

Let w be equal to the width of the enclosure.

Let l be equal to the length of the enclosure.

1) Construct equations

[tex]A=lw[/tex] ⇒ A represents the area of the enclosure.

[tex]40=2w+l[/tex] ⇒ This represents the perimeter of the enclosure. Normally, P=2w+2l, but because one side isn't going to use any rope (sandy beach), we remove one side from this equation.

2) Isolate one of the variables in the second equation

[tex]40=2w+l[/tex]

Let's isolate l. Subtract 2w from both sides.

[tex]40-2w=2w+l-2w\\40-2w=l[/tex]

3) Plug the second equation into the first

[tex]A=lw\\A=(40-2w)w\\A=40w-2w^2\\A=-2w^2+40w[/tex]

Great! Now that we have a quadratic equation, we can do the following:

Solve for its zeros/w-intercepts.Take the average of the zeros to find the w-variable of the vertex. (The area (A) in relation to the width of the swimming area (w) is what we've established in this equation, and the area (A) is greatest at the vertex. Finding the value of w of the vertex will tell us what the width needs to be for the area to be at a maximum.)Plug this w value into one of the equations to solve for l

4) Solve for w

[tex]A=-2w^2+40w[/tex]

Factor out -2w

[tex]A=-2w(w-20)[/tex]

For A to equal 0, w=0 or w=20.

The average of 0 and 20 is 10, so the width that will max the area is 10 m.

5) Solve for l

[tex]40=2w+l[/tex]

Plug in 10 as w

[tex]40=2(10)+l\\40=20+l\\l=20[/tex]

Therefore, the length of 20 m will max the area.

I hope this helps!

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

f(x) = 2x^2 Find f (-6)​

Answers

Answer:

[tex]72[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2[/tex]

replace x with -6

[tex]f(-6)=2(-6)^2[/tex]

exponent

[tex]f(-6)=2(36)[/tex]

multiply

[tex]f(-6)=72[/tex]

Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-intercept and the slope from the given values?​

Answers

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!

How many possible outcomes do you have when you role 4 dice

Answers

Answer:

1296

Step-by-step explanation:

6^4

What is the surface area of the rectangle or pyramid below 15 15 15

Answers

Answer:

correct answer is 1)675 units^2

the answer is A.) 675 units^2


Over what interval is the parabola below decreasing?

Answers

I think it’s the first answer choice

Mrs Nu paid $2083 for 2 smiler laptops and 3 similar earphones. Each laptop cost of each earphones?​

Answers

Answer:

Step-by-step explanation:

The information given is incomplete :

Answer:

x = 1/2(2083 - 3y)

y = 1/3(2083 - 2x)

Step-by-step explanation:

Let

Laptop cost = x

Earpiece cost = y

Number of laptops= 2

Number of earpiece = 3

2x + 3y = $2083

The cost per laptop :

2x = 2083 - 3y

Divide both sides by 2

x = (2083 - 3y) / 2

x = 1/2(2083 - 3y)

Or

3y = 2083 - 2x

y = (2083 - 2x) / 3

y = 1/3(2083 - 2x)

Apparently I'm supposed to do one at a time so here we go again

Answers

A) 60mph
B) 209.7 miles
C) 2 hours and 45 minutes
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