Pls help plz help pls plz help plz plz help

Answer:

y=0

Step-by-step explanation:

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

Factor out 3^y:

  3^(2y-1) +2(3^(y-1)) = 1 . . . . . . given

  (3^y)^2(3^-1) +2(3^y)(3^-1) = 1 . . . . factor out 3^y

  (3^y)^2 +2(3^y) -3 = 0 . . . . . . . . . . subtract 1, multiply by 3

Let x = 3^y. Substituting, we have ...

  x^2 +2x -3 = 0

  (x -1)(x +3) = 0

  x = 1  or  x = -3 . . . . . values of x that satisfy this equation

Then the corresponding values of y are ...

  x = 3^y . . . . . . . . . . . . relation of x and y

  log(x) = y·log(3) . . . . . take logs to solve for y

  y = log(x)/log(3) . . . . . divide by the coefficient of y

For x = 1, this is y = log(1)/log(3) = 0

For x = -3, this is y = log(-3)/log(3) . . . . no real solutions

The only real solution is y = 0.

_____

The attachment shows the solution of f(x) = 0, where ...

  [tex]f(x)=3^{2x-1}+2\times3^{x-1}-1[/tex]

That solution is x=0. This means the (real) solution to the given equation is y=0.

Answer:

Sila put a wrong number in her calculator when multiplying the numerators.

Step-by-step explanation:

StartFraction 12 kilometers Over 1 EndFraction times StartFraction 0.62 miles Over 1 kilometer EndFraction times StartFraction 5280 feet Over 1 mile EndFraction = 392,832 feet

Correct calculation:

12 km/ 1 * 0.6miles / 1km * 5280 feet / 1 mile

= (12km * 0.62 miles * 5280 feet) / (1 * 1 km * 1 mile)

= 39,283.2 feet

Sila's calculation:

12 km/ 1 * 0.6miles / 1km * 5280 feet / 1 mile

= 392,832 feet

Answer:

54

Step-by-step explanation:

126+x=180

x=180-126=54

x=54

Answer:

y=2/5x

Step-by-step explanation:

Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1

2-0/5-0=2/5=m

Answer:

b

Step-by-step explanation:

Answer:

The one that looks like a letter U

Answer:

Area of rectangular land = 1,440 cm².

Perimeter of rectangular land = 152 cm

Step-by-step explanation:

Given:

Length of rectangular land = 36 cm

Width of rectangular land = 40 cm

Find:

Area of rectangular land

Perimeter of rectangular land

Computation:

Area of rectangle = length x width

Area of rectangular land = 36 x 40

Area of rectangular land = 1,440 cm²

Perimeter of rectangle = 2[l + b]

Perimeter of rectangular land = 2[36 + 40]

Perimeter of rectangular land = 2[76]

Perimeter of rectangular land = 152 cm

Answer:

not a factorable number i think

Step-by-step explanation:

Given:

A figure of a circle.

To find:

The value of x.

Solution:

Central angle theorem: According to this theorem, the central angle on an arc is twice of the subtended angle on that arc.

Using the central angle theorem, we get

[tex]x=2\times 35^\circ[/tex]

[tex]x=70^\circ[/tex]

Therefore, the value of x is 70 degrees.

Answer:

Question 1:

SAT average divided by budget per student and

SAT average divided by teachers per student

Question 2:

Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.

Answer:

Step-by-step explanation:

This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:

[tex]tan(2)=\frac{200}{x}[/tex] and

[tex]x=\frac{200}{tan(2)}[/tex] so

x = 5727.25 feet, the third choice down

Answer:

[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]

[tex]x=5,727.25[/tex]

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hope it helps..

have a great day!!

Answer:

4,5,5,7

Step-by-step explanation:

The answer is 4,5,5,7

Answer:

30.44 pounds.  

Step-by-step explanation:

to find the answer you have to subtract 45.33 and 14.89

so 45.33-14.89= 30.44

so now you would have to round. the number after the decimal is NOT greater then 5 so Therefore, we simply remove the 4 an d the the whole number as: 30

SO your answer ROUNDING wise is 30

Hope this helps

Answer:

[tex]n=\frac{S}{180}+2[/tex]

Step-by-step explanation:

Hi there!

[tex]S=(n-2)180[/tex]

We can isolate n by performing inverse operations on both sides to cancel out values.

First, divide both sides by 180 to isolate n-2:

[tex]\frac{S}{180}=n-2[/tex]

Now, add 2 to both sides to isolate n:

[tex]\frac{S}{180}+2=n\\n=\frac{S}{180}+2[/tex]

I hope this helps!

Answer: [tex]7.5\ km[/tex]

Step-by-step explanation:

Given

Girl has traveled 6 km from her house

She has covered [tex]\frac{4}{5}[/tex] of the distance

Suppose the total distance is x

[tex]\therefore 6=\dfrac{4x}{5}\\\\\Rightarrow x=\dfrac{30}{4}\\\\\Rightarrow x=\dfrac{15}{2}\ \text{km}\\\\\Rightarrow x=7.5\ \text{km}[/tex]

=======================================================

Explanation:

Let's say you earn x dollars.

You pay 10% tax on that, which means you pay 0.10x dollars.

This would drop to x-0.10x = 0.90x which is the amount earned after tax.

So you pay 10% of what you earn, and keep 90% of the rest.

Set this equal to the target $100 you want and solve for x.

0.90x = 100

x = 100/0.90

x = 111.11

Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.

Answer:

Moving 4 to the right on the x axis

Answer:

Step-by-step explanation:

Prime factorize 8 and 64

8 = 2* 2 * 2 = 2³

64 = 2*2*2 *2*2*2 = 2⁶

2*8*64 = 2* 2³ *2⁶ = 2¹⁺³⁺⁶ = 2¹⁰

In exponent multiplication, if base are same, then add the exponents.

Answer:

2×5×7+2×5×2+2×7×2

70+20+28

108cm^2

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]l = 5 \: cm \\ w = 2 \: cm \\ h = 7 \: cm[/tex]

The formula to find SA => 2lh + 2lw + 2hw

[tex]SA => 2lh + 2lw + 2hw \\ = 2 \times 5 \times 7 + 2 \times 5 \times 2 + 2 \times 7 \times 2 \\ = 70 + 20 + 28 \\ = 118 \: \: cm {}^{2} [/tex]

=> The surface area of the rectangular prism is 118 cm².

Jerry has been stressing a lot for getting into his favorite college. The symptom by which he is reacting to stress is 'upset stomach'.

Stress can lead to a lot of emotional and physical negative responses in the body. This includes difficulty breathing, panic attacks, blurred eyesight or sore eyes, sleep problems, fatigue, muscle aches and headaches, chest pains and high blood pressure, Indigestion or heartburn, constipation, feeling sick, dizzy or fainting.

When Jerry stayed up late at night to get in some extra study time, had a mental burden of passing an entrance exam, a lot of stress was built. He reacted to it with an upset stomach just like others.

Learn more about reacting to stress here

https://brainly.com/question/14973731

#SPJ2

Answer:

36 years

Step-by-step explanation:

Let

x = Elga's age

Alvin's age = x + 7

Sum of their ages = 79

Sum of their ages = Alvin's age + Elga's age

79 = (x + 7) + x

79 = x + 7 + x

79 = 2x + 7

79 - 7 = 2x

72 = 2x

x = 72/2

x = 36

Elga's age = x = 36 years

Alvin's age = x + 7

= 36 + 7

= 43 years

Answer:

D.

Step-by-step explanation:

.

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

Answer:

x² + 2² =(√15)²

x²+ 4. =15

x² =15-4

x² =11

x. =√11 mi

so the answer is 4th option

Answer:

A) y = -5/8x + 6

Step-by-step explanation:

y2 - y`1 / x2 - x1

7/2 - 11 / 4 - (-8)

-15/2  / 12

= -5/8

y = -5/8x + b

11 = -5/8(-8) + b

11 = 5 + b

6 = b

Answer:

Option (A)

y = - 5 / 8 x + 6

Step-by-step explanation:

Two points are

(x', y') = ( - 8, 11 )

(x'', y'') = (4, 7/2)

The equation o line passing through two points is given by

[tex](y - y') = \frac{y'' - y'}{x''-x'}(x-x')\\\\(y - 11)= \frac{\frac{7}{2}-11}{4+8} (x + 8)\\\\y - 11 = \frac{-5}{8}(x + 8)\\\\y -11 = \frac{-5x}{8} - 5\\\\y = \frac{-5x}{8} + 6[/tex]

So, option (A) is correct.  

9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  [tex]\log_3(y)=n\cdot\log_3(x)+\log_3(a)[/tex]

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

Answer:

[11] x = 3

[12] x = 37

[13] x = 1.2

[14] x = 62

Answer:

Step-by-step explanation:

As,

0.16

= 16/100

= 4/25. [Taking common factor 4 from both 16 and 100]

Answer: The answer in the blank is 2/5.

Step-by-step explanation: To divide fractions, flip the second fraction's denominator and nominator and then change the sign to a multiplication sign. Multiply. 4/5 x 3/1 = 12/5. Make 12/5 a mixed number. Since 12 can hold 2 fives, the people who created this question placed a 2 before the blank. 2/5 is remaining, so the blank is 2/5.

Answer:

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

Step-by-step explanation:

Area of a square = [tex]s^{2}[/tex]   (s is a side length)

24 = [tex]s^{2}[/tex]

[tex]\sqrt{24}[/tex] = [tex]\sqrt{s^{2} }[/tex]

[tex]\sqrt{24}[/tex] = s

[tex]\sqrt{(4)(6) }[/tex] = s

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