Simplify

81^5 = 3^x
x=

Answer:

b,d,e,f and g

Step-by-step explanation:

A binomial is a polynomial with 2 terms

● a has only one term (15)

● b has two terms 15x and 2 so it is a binomial

● c has only one term so it's not a binomial

● d has two terms 512v^5+ 99w^5

● e has also two terms -6y^2 and (-79)x

● f= 2(3x+4) = 6x+8 so f has two terms then it's a binomial

● g has also two terms

Answer:

Please refer to the attached image for the graph of given function.

Step-by-step explanation:

Given the equation:

[tex]-x^{2} +4x+12[/tex]

Let us rewrite by letting it equal to [tex]y[/tex].

[tex]y=-x^{2} +4x+12[/tex]

Now, we can see that it is a quadratic equation and it is known that a quadratic equation has a graph of parabola.

Let us compare the given equation with standard quadratic equation:

[tex]y=ax^{2} +bx+c[/tex]

we get:

[tex]a = -1\\b = 4\\c = 12[/tex]

Coefficient of [tex]x^{2}[/tex] is negative 1, so the parabola will open downwards.

Axis of symmetry: It is the line which will divide the parabola in two equal congruent halves.

Formula for axis of symmetry is:

[tex]x = -\dfrac{b}{2a}[/tex]

[tex]x = -\dfrac{4}{2(-1)}\\\Rightarrow x=2[/tex]

It is shown as dotted line in the image attached in the answer area.

Axis of symmetry will also contain the vertex of the parabola.

It is a downward parabola so vertex will be the highest point on this parabola.

Putting x = 2 in the equation of parabola:

[tex]y=-2^{2} +4\times 2+12\\\Rightarrow y =16[/tex]

So, vertex will be at P(2, 16).

Now, let us find points of parabola to sketch graph:

put x = 0, [tex]y=-0^{2} +4\times 0+12=12[/tex]

Another point is Y(0,12)

Now, let us put y = 0, it will give us two points because the equation is quadratic in x.

[tex]0=-x^{2} +4x+12\\\Rightarrow -x^{2} +6x-2x+12=0\\\Rightarrow -x(x -6)-2(x-6)=0\\\Rightarrow (-x-2)(x-6)=0\\\Rightarrow x = -2, 6[/tex]

So, other two points are X1(-2, 0) and X2(6,0).

If we plot the points P, Y, X1 and X2 we get a graph as attached in the image in answer area.

Answer:

t=4

Step-by-step explanation:

6+t=10

-6    -6

t=4

Answer:

T=4

Step-by-step explanation:

t+6=10

-6

10-6=4

t=4

Answer:A

Step-by-step explanation:

It is a solid line and the area below is shaded so it has to be less than the slope, hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

Its A because you find the slope, -1/3 which is followed by x.  The x intercept is 1 so you do plus one.  Because the line is solid and negative, it makes it a less-than equal to sign.  Hope this helps at all!

Step-by-step explanation:

Explanation:

2g - (1/2)g = (4/2)g - (1/2)g = (3/2)g

The original equation becomes (1/2)g-4 = (3/2)g+4

The slopes are 1/2 and 3/2 respectively. Since the slopes are different, the two lines cannot be parallel.

Since we don't have parallel lines, they intersect at exactly one point leading to exactly one solution.

Answer:

the first one- one solution

the second one- infinitely many solutions

Step-by-step explanation:

One solution as one intersection point

=========

considering this equation as lines, these are two overlapping lines, so there are infinitely many solutions

Answer:

C = 2πr = 2 * 3.14 * 20 = 125.6

Answer:

[tex]\huge\boxed{C\approx125.6}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=d\pi=2\pi r[/tex]

d - diameter

r - radius

We have the radius r = 20.

Substitute:

[tex]C=2\pi(20)=40\pi[/tex]

use π ≈ 3.14

[tex]C\approx(40)(3.14)=125.6[/tex]

Step-by-step explanation:

Side a = 63

Side b = 21

Side c = 66.40783 = 21√10

Angle ∠A = 71.565° = 71°33'54" = 1.24905 rad

Angle ∠B = 18.435° = 18°26'6" = 0.32175 rad

Angle ∠C = 90° = 1.5708 rad = π/2Area = 661.5

Perimeter p = 150.40783

Semiperimeter s = 75.20392

Height ha = 21  

Height hb = 63

Height hc = 19.92235

Median ma = 37.85829  

Median mb = 63.86901

Median mc = 33.20392

Inradius r = 8.79608  

Circumradius R = 33.20392  

Vertex coordinates: A[0, 0] B[66.40783, 0] C[6.64078, 19.92235]

Centroid: [24.34954, 6.64078]

Inscribed Circle Center: [12.20392, 8.79608]

Circumscribed Circle Center: [33.20392, 0]

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

Answer:

The answer is C

Step-by-step explanation:

hope it helps

Answer:

B

Step-by-step explanation:

An arithmetic sequence there will be a constant difference between terms.

Option A: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is ×[tex]\frac{1}{2}[/tex], but the difference between the 3rd term to the 4th term is ×[tex]\frac{1}{4}[/tex].

Option B: this sequence is an arithmetic sequence as the differences between every two consecutive terms are +5.

Option C: this sequence is not an arithmetic sequence as the difference between the 1st term and the 2nd term is -8, but in the difference between the 2nd term and the 3rd is +8.

Option D: this sequence is a typical fibonacci sequence, and clearly we can see that the differences are different in every two consecutive terms.

I hope this helps, ask me any question if you do not understand :)

Answer:

x=20°

Step-by-step explanation:

X and Z are inscribed with the same arc (40°)

so the value of x and z are the same

X=Z

Z=1/2(inscribed arc)

Z=1/2(40°)

z=20°..... since z=x

X=20°

Answer:

A, B and E statements are true

Step-by-step explanation:

Since in the question, it is mentioned that Eli selected two shirts out of pack 5 for a weekend trip

Classify each shirt as A, B, C, D, and E.

Now we have to go through the options

In the first statement it is mentioned that AB and BA are the similar. This is true as it contains in same bag.

Since Eli select two shirts so the second statement is also correct

And, the last statement is also true as he selects shirt B so there are four possible ways to second the second shirt as there are four remaining shirts are left after select one shirt

Hence, A, B and E statements are true

Answer: A, B, and E.

Step-by-step explanation:

A is correct: the combination of AB and BA are the same because they both contain the same letters, just a different order.

B is correct: each shirt can be paired with any one of the other remaining shirts because she will be choosing 2 shirts.

E is correct: If he chooses shirt B, there are 4 possible outcomes for choosing the 2nd shirt. This is true because there is only one B in a group of 5 shirts, so 5-1 = 4 possible outcomes.

Hope this helped.

Have a nice day. :)

Answer:

The answer is 3 11/21

Step-by-step explanation:

Answer:

              [tex]\underlie{\bold{\ 3\frac{11}{21}\ }}[/tex]

Step-by-step explanation:

[tex]2\frac7{15}\cdot1\frac37=\frac{2\cdot15+7}{15}\cdot\frac{1\cdot7+3}{7}=\frac{37}{15}\cdot\frac{10}{7}=\frac{37}{3}\cdot\frac{2}{7}=\frac{37\cdot2}{3\cdot7}=\frac{74}{21}=\frac{3\cdot21+11}{21}=3\frac{11}{21}[/tex]

Answer:

Option (3).(Bottom left)

Step-by-step explanation:

Formula for the exponential growth is,

h(x) = [tex]a(1+\frac{r}{100} )^{t}[/tex]

where r = rate of exponential growth

a = initial amount

t = duration or time

Option (1) (Top left)

h(t) = [tex](1+0.18)^{\frac{t}{6}}[/tex]

     = [tex](1+\frac{18}{100})^t[/tex]

Rate of exponential growth will be,

r = 18%

Option (2) (Top right)

k(t) = [tex](\frac{3}{8})^t[/tex]

     = [tex](1-\frac{5}{8})^t[/tex]

     = [tex](1-0.625)^t[/tex]

     = [tex](1-\frac{62.5}{100})^t[/tex]

r = -62.5%

This function shows the exponential decay rate of 62.5%.

Option (3) (Bottom left)

f(t) = [tex]1.36^t[/tex]

    = [tex](1+0.36)^t[/tex]

    = [tex](1+\frac{36}{100})^t[/tex]

r = 36%

Option (4) (Bottom right)

g(t) = [tex]0.86^t[/tex]

     = [tex](1-0.14)^t[/tex]

     = [tex](1-\frac{14}{100})^t[/tex]

r = -14%

This function shows the decay rate of 14%.

Therefore, Option (3). (Bottom left) shows the greatest exponential growth.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Functions.

so after plotting the graphs, we get as,

==> m = 2.5

==> b = 0

==> y = mx+c

a straight line

Answer:

your answer is, because i got it right your welcome

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Note that we start at (0, -4) and end at (7, -4).  Thus, the net change in y over the interval [0, 7] is 0, and the average rate of change of f(x) over that interval is thus

   0

--------- = 0

    7

Answer:

0

Step-by-step explanation:

Answer:

9. A cylinder

10. A cone

Step-by-step explanation:

You sketched the shapes right

Answer:

Please look below for your answer

Step-by-step explanation:

The first is a cylinder and the second is a cone. Those are amazing drawings B.T.W. I love them

I hope I helped

Please mark me as brainliest

Answer:

[tex]4^m[/tex]

Step-by-step explanation:

When you exponent an exponent, you multiply the powers together.

When you divide exponents, you subtract the powers.

Step 1: Convert to same base

log₄64 = 3

Step 2: Rewrite equation

[tex]\frac{(4^3)^{0.5m}}{4^{0.5m}}[/tex]

Step 3: Simplify

[tex]\frac{4^{1.5m}}{4^{0.5m}}[/tex]

Step 4: Simplify

[tex]4^m[/tex]

Answer:

Therefore, domain of y = [tex]\sqrt{x-k}[/tex] ; Domain = [k, ∞)

Domain of y = [tex]\sqrt{x}+k[/tex] ; Domain = [0, ∞)

Step-by-step explanation:

Two functions are,

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

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

Let the value of k = 1

Then we find the graph of the functions attached.

By analyzing these graphs,

y = [tex]\sqrt{x-1}[/tex] when shifted 1 unit right and 1 unit down we get a new function,

y = [tex]\sqrt{x}+1[/tex]

Therefore, domain of y = [tex]\sqrt{x-1}[/tex] ; Domain = [1, ∞)

Domain of y = [tex]\sqrt{x}+1[/tex] ; Domain = [0, ∞)

Similarly, domain of y =  [tex]\sqrt{x-k}[/tex] ; Domain = [k, ∞)

And domain of y = √x + k ; Domain = [0, ∞)

Answer:

when the square on the hypotenuse of a right-angled triangle is equal in to the sum of the squares on the other two sides

Step-by-step explanation:

let's say......

h = ?

o = 4

a = 4

a^2+o^2=32

square root 32

5.65685424949

that is the value for h

Answer:

A^2+B^2=C^2

you use it the find any length of a right angled triangle

Answer: 1,914

Step-by-step explanation:

first we take down the information given to us

For 92% confidence, z = 1.75

Error of margin  E = 2% = 0.02

Since no estimate of population proportion has been given, we will assume:

p = q = 0.50

Hence,  

Sample size required n

n = ( z/E)² × p × q

n = ( 1.75/0.02)² × 0.5 × 0.5

n = (87.5)² × 0.5 ×0.5

n =  1914

Answer:

Step-by-step explanation:

8d + 4 = 5d + 28

Group like terms

That's

8d - 5d = 28 - 4

3d = 24

Divide both sides by 3

d = 8

[tex] \frac{7(7g + 8)}{4} = 38.5[/tex]

Cross multiply

we have

7(7g + 8) = 38.5(4)

49g + 56 = 154

49g = 154 - 56

49g = 98

Divide both sides by 49

g = 2

Hope this helps you

Answer:

Do you have a photo or some other information to go with this?

Step-by-step explanation:

Answer:

0( no birds)

Step-by-step explanation:

if you shoot one, the rest will fly away

Answer:

14 alive birds, but 15 in total.

Step-by-step explanation:

15-1=14, or 15-0=15. the dead one still exists

Answer:

when y=1 then x=0.5

Step-by-step explanation:

The graph is provided.

The equation y=4x-1 can be graphed by first graphing the -1 which is the y-intercept in the y=mx+b form. 4=m that is our slope. you can find the lines second point by moving 4 up and 1 to the right. rise/run =4/1. So when you move 4 up and 1 right you get another point on the line (1,3).

You can find out x=0.5 when y=1 by just tracing your finger over the graph and the point when y equals 1 the line intercepts x=0.5. Another screenshot is given.

I hope this helps!

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

Answer:

the value of x is 0 and y is -4.

hope it helps uh..

i got this question too as my homework it so hard ill let you know if i find out the answer.

Answer:

Option D

Step-by-step explanation:

Area of trapezium = sum of 2 parallel sides × height / 2

Here the two parallel sides are = 8 in. and 12 in.

And height = 7 in.

∴ Area of the trapezium = ( 8 + 12 ) × 7 / 2

= 20 × 7 / 2

=70 in^2

Hope this helps

plz mark as brainliest!!!!!!!!