WHO CAN HELP ME WITH THIS QUESTION​

Answer:

3x10^17

Step-by-step explanation:

(9.3/3.1) * 10^(34-17) = 3^17

law of indices, x^m/x^n =x^m-n

^ means to the power of or exponent

logb(x) = y is b^y = x

Answer:

[tex]0.9^5=0.59049[/tex]

Step-by-step explanation:

By definition, we have:

[tex]log_ab=c\implies a^c=b[/tex]

Therefore, given [tex]log_{0.9}(0.59049)=5[/tex], assign:

Rewrite:

[tex]\boxed{0.9^5=0.59049}[/tex]

Answer:

t f dis say mane ion speak italian

Step-by-step explanation:

The original number of marbles in the bag is 30.

The given parameters are:

[tex]Red = x + 1[/tex]

[tex]Total = x^2 + 5[/tex]

The probability of red is:

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{x+1}{x^2 + 5}[/tex]

When 20 marbles were removed, the marbles left are:

[tex]Marbles =Total - 20[/tex]

This gives:

[tex]Marbles =x^2 + 5 - 20[/tex]

[tex]Marbles =x^2 -15[/tex]

The probability of selecting a scratched marble at this point is:

[tex]P(Scratch) = \frac{Scratch}{Marbles}[/tex]

[tex]P(Scratch) = \frac{x -3}{x^2 - 15}[/tex]

This probability equals the probability of red.

i.e.

[tex]P(Red) = P(Scratch)[/tex]

So, we have:

[tex]\frac{x +1}{x^2 + 5} = \frac{x -3}{x^2 - 15}[/tex]

Cross multiply

[tex](x + 1)(x^2 - 15) = (x - 3)(x^2 + 5)[/tex]

Expand

[tex]x^3 - 15x + x^2 - 15 = x^3 + 5x - 3x^2 - 15[/tex]

Subtract [tex]x^3[/tex] from both sides

[tex]- 15x + x^2 - 15 = 5x - 3x^2 - 15[/tex]

Add 15 to both sides

[tex]- 15x + x^2 = 5x - 3x^2[/tex]

Collect like terms

[tex]3x^2 + x^2 - 15x - 5x = 0[/tex]

[tex]4x^2 - 20x = 0[/tex]

Divide through by 4

[tex]x^2 - 5x = 0[/tex]

Expand

[tex]x(x - 5) = 0[/tex]

Split

[tex]x = 0[/tex] or [tex]x - 5 = 0[/tex]

[tex]x = 0[/tex] or [tex]x = 5[/tex]

x can't be 0.

So: [tex]x = 5[/tex]

The number of marbles initially is:

[tex]Total = x^2 + 5[/tex]

[tex]Total = 5^2 + 5[/tex]

[tex]Total = 30[/tex]

Hence, the original number of marbles in the bag is 30.

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

hjk

Step-by-step explanation:

Answer:

62.5 or 63

Step-by-step explanation:

the length of the side adjacent to the angle is given (6), and the length of the hypotenuse is also given (13)

the trig function that deals with adjacent and hypotenuse lengths is cosine.

cos(x) = adj/hyp

cos(x) = 6/13

x = 62.5

[tex]71\% = \frac{70}{100} = \frac{7}{10} = 0.7 \\ 172\% = \frac{172}{100} = 1.72 \\ 6\% = \frac{6}{100} = 0.06[/tex]

Answer:

ERROR

Step-by-step explanation:

Answer:

A third-degree polynomial can be written as:

f(x) = a*x^3 + b*x^2 + c*x + d

Where the leading coefficient is a, and all the coefficients are real.

If we know that the leading coefficient is 1, then the equation becomes:

f(x) = x^3 + b*x^2 + c*x + d

Now, we also know that:

(6 + i) and 5 are zeros.

This means that:

(6 + i)^3 + b*(6 + i)^2 + c*(6 + i) + d = 0

remember that:

i^2 = - 1

This is equal to:

(6 + i)*(36 + 2*6*i  + i^2) + b*(36 + 2*6*i  + i^2) + c*(6 + i) + d = 0

(6 + i)*(35 + 12i) + b*(35 + 12i) + c*(6 + i) + d  =0

(210 + 35i + 72i - 12) +  b*(35 + 12i) + c*(6 + i) + d  = 0

198 + 107i +  b*(35 + 12i) + c*(6 + i) + d  = 0

sparating in real and imaginary part, we get:

(198 + b*35 + c*6 + d) + (107 + b*12 + c)*i = 0

Then each parentheses needs to be zero, this means that:

198 + b*35 + c*6 + d = 0

107 + b*12 + c =  0

Knowing that 5 is another zero, we have:

5^3 + b*5^2 + c*5 + d = 0

125 + b*25 + c*5 + d = 0

Then we have a system of 3 equations and 3 variables:

198 + b*35 + c*6 + d = 0

107 + b*12 + c =  0

125 + b*25 + c*5 + d = 0

To solve this, we first need to isolate one of the variables in one of the equations.

Let's isolate d in the last one, so we get:

d = -125 - b*25 - c*5

now we can replace this in the first equation to get:

198 + b*35 + c*6 + d = 0

198 + b*35 + c*6 + (  -125 - b*25 - c*5) = 0

70 + b*10 + c = 0

So now we have two equations:

70 + b*10 + c = 0

107 + b*12 + c =  0

Again, now we can isolate the one variable in one of the equations, this time let's isolate c in the first one.

c = -70 - b*10

now we can replace this in the other equation:

107 + b*12 + c = 0

107 + b*12 + (-70 - b*10) = 0

38 + b*2 = 0

now we can solve this for b

b*2 = -38

b = -38/2 = -19

Now, with the equation c = -70 - b*10 we can find the value of c.

c = -70 - b*10 = c = -70 - (-19)*10 = 120

And with the equation  d = -125 - b*25 - c*5

we can find the value of d:

d = -125  - b*25 - c*5 = -125 - (-19)*25 - (120)*5 = -250

Then we have:

a = 1

b = -19

c = 120

d = -250

The eqation is:

f(x) = 1*x^3 - 19*x^2 + 120*x - 250

Answer:

2.8 * 1.4 = 3.92.

Hope this answer helps you. Thank you.

Answer:

hope it helps you.........

Answer:

14

Step-by-step explanation:

[tex]angle \: b = angle \: c \: thus \: ab = ac[/tex]

[tex]2x = 3x - 7 \\ 2x - 3x = - 7 \\ - x = - 7 \\ x = 7[/tex]

[tex]ac = 3x - 7 = 14[/tex]

Answer: [tex]270\ in.^3[/tex]

Step-by-step explanation:

Given

Volume of a gas varies inversely with pressure i.e.

[tex]V\propto \dfrac{1}{P}\\\\PV=\text{constant}[/tex]

Initially, [tex]V_1=450\ in.^3,P_1=3\ psi[/tex]

Then, pressure increases to [tex]P_2=5\ psi[/tex]

[tex]\therefore P_1V_1=P_2V_2\\\Rightarrow 3\times 450=5\times V_2\\\Rightarrow V_2=3\times 90\\\Rightarrow V_2=270\ in.^3[/tex]

Thus, volume decreases to [tex]270\ in.^3[/tex].

Answer:

y ≥ -2x-5

you use the greater than and equals to sign

Answer:

mocha madness = 30 pounds

Step-by-step explanation:

Let

x =  Mocha Madness

y = Sumatra Sweetness

two equations can be derived from the question

x + y = 40 equation 1

12x + 20y = 14 x 40 equation 2

Multiply equation 1 by 12

12x + 12y = 480 eqn 3

subtract eqn 2 from 3

8y = 80

y = 10

substitute for y in equation 1

x + 10 = 40

x = 40 - 10

x = 30

8y = 180

y = 10 pounds

x = 30 pounds

Answer:

0.459

Step-by-step explanation:

O.459 will round to 0.46 which meets the question's criteria.

Answer:

Part 1

The number of baseball players that are to split the profits = 9 baseball payers

The amount of money each player earned = $326

Let x represent the total amount of money raised, and given that each baseball player received equal amount of the profits we have the following division equation;

[tex]The \ division \ equation \ is , \dfrac{x}{9} = \$ \, 326[/tex]

Part 2

Solving for the variable, gives;

x = 9 × $ 326 = $2,934

The amount of profits from the fundraiser, x = $2,934

Part 3

The amount, A, each of the 9 players will earn from the profit of $2,934 raised in the fund raiser is given as follows;

A = $2,934/9 = $326

∴ The amount each of the 9 players will earn, A = $326, therefore the answer corresponds to the value in the question and is therefore, correct

Step-by-step explanation:

see the attachment hope this helps you

Answer:

The answer is B..... The corresponding is the identical number between all

The is 7 in each...

Answer:

(x + 5)²

Step-by-step explanation:

Given

x² + 10x

To complete the square

add ( half the coefficient of the x- term )² to x² + 10x

x² + 2(5)x + 25

Then

x² + 10x + 25 = (x + 5)²

Answer:

[tex]x=12,\\y=6\sqrt{3}[/tex]

Step-by-step explanation:

In all 30-60-90 triangles, the side lengths are in ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle.

Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and [tex]x=6[/tex] in the ratio [tex]x:x\sqrt{3}:2x[/tex].

Thus, we have:

[tex]y=\boxed{6\sqrt{3}},\\x=2\cdot 6=\boxed{12}[/tex]

Answer:

a) A(x)  = 90*x/2  -  x²/2

b) A(max) = 1012.5 m²

Step-by-step explanation:

L = 90 meters of fencing

Rectangular area is

A(r) = x*y .            where  x  and  y  are the sides of the rectangle

the perimeter is  ( we are going to fence only 3 sides, then)

x + 2*y = 90    or .    y  = ( 90  - x ) /2

Area as a function of x is:

A(x)  = x * ( 90 - x)/2

A(x)  = 90*x/2  -  x²/2

Tacking derivatives on both sides of the equation:

A´(x) =45  -  2*x/2         A´(x) =45  - x

A´(x) = 0 .      45  - x = 0 .      x  = 45 . meters

and . y   =  ( 90  - x ) 2

y = ( 90- 45 )/2  

y = 22.5 meters

A(max) =  45*22.5  m²

A(max) = 1012.5 m²

If we get the second derivative of A(x) .  A"(x) = - 1       A"(x) < 0

Then A(x) has a maximum for x = 45

Answer:

Ans no. 1 = 14/15

Ans no. 2= 1/192

Answer:

To determine which number is greater, 0.5 or 0.14, you must determine which of the two has a higher ratio with respect to a whole number. Thus, since 0.5 is equal to 1/2 and 0.14 is equal to 7/50, 0.5 is the greater number.

Answer:

Timed test.

Step-by-step explanation:

An operational definition gives exactly what the independent variable means and its mode of measurement. The Independent variable is the variable in a research or experimental study which causes a change in the the measured variable. Hence, the independent variable is the predictor variable. In the study above, the independent variable is the timed test which is used to observe changes in the heart rate of the test taker (test anxiety). The change innheartrate of the test taker is the dependent variable.

Answer:

not great with math but I'm sure it's the second circle

Answer:

0 =-4.5X +49.5

x = 11

Step-by-step explanation:

x1 y1  x2 y2

1 45  3 36

(Y2-Y1) (36)-(45)=   -9  ΔY -9

(X2-X1) (3)-(1)=    2  ΔX 2

slope= -4  1/2    

B= 49  1/2    

Y =-4.5X +49.5    

Answer:

D. rotation

uhhhh I need 20 characters so

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'. Then the correct option is D.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry. But flip the image.

Rotation does not change the size and shape of the geometry. But change the orientation of the image.

Translation does not change the size and shape of the geometry. But change the location of the shape.

Check all the options.

Translation is incorrect because orientation of the triangle is changed.

Reflection is incorrect because the line of the reflection is not possible for the triangles.

Rotation is correct because the triangle ABC is rotated about the mid-point of B and B'.

Then the correct option is D.

More about the transformation of geometry link is given below.

https://brainly.com/question/22532832

#SPJ5

Answer:

1280

Step-by-step explanation:

4d*(-5d)=-20(d)^2, d=-8. - 20*64=1280

Answer:

V = 276.32 ft^3

Step-by-step explanation:

Volume of a cylinder is

V = pi r^2 h

The diameter is 4 so the radius is d/2 = 4/2 = 2

V = (3.14) ( 2)^2 * 22

V = 276.32 ft^3

Answer:

Step-by-step explanation:

f(1) = 8000

f(2) = 1/2(n - 1)

f(2) = 1/2(2 - 1)

f(2) = 1/2    Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.

Answer:

f(5) = 500

Step-by-step explanation:

Using the recursive rule and f(1) = 8000 , then

f(2) = [tex]\frac{1}{2}[/tex] f(1) = [tex]\frac{1}{2}[/tex] × 8000 = 4000

f(3) = [tex]\frac{1}{2}[/tex] f(2) = [tex]\frac{1}{2}[/tex] × 4000 = 2000

f(4) = [tex]\frac{1}{2}[/tex] f(3) = [tex]\frac{1}{2}[/tex] × 2000 = 1000

f(5) = [tex]\frac{1}{2}[/tex] f(4) = [tex]\frac{1}{2}[/tex] × 1000 = 500