CRITICAL THINKING The weight y (in pounds) of a rainbow trout can be modeled by y = 0.000304x3, where x is the length (in inches) of the trout. a. Write a function that relates the weight y and length x of a rainbow trout when y is measured in kilograms and x is measured in centimeters. Use the fact that 1 kilogram ≈ 2.20 pounds and 1 centimeter ≈ 0.394 inch.

Answer:

The parenthesis should be placed as shown:

5 x (2+1) + 4

Step-by-step explanation:

What Kiki walks every week day is : 2 miles + 1 mile = (2+1)

since this is done 5 times per week (on weekdays) to obtain the total walked on weekdays, you multiply this by 5: 5 x (2+1)

and we need to add to this what Kiki walks on Saturdays (4 miles){

5 x (2+1) + 4

Answer:

8000 is a perfect cube but 3375 can be also but i m a little sure that 8000 is a perfect cube

Answer:

Some keywords include "starting amount," you should look out for this because it will be the y-intercept for the equation. Another keyword may be "daily" or "monthly" or "yearly," which would be the coefficient of x, or the amount that y increases with an increase of 1 in x.

pls mark brainliest :)

Hi there! :)

Answer:

[tex]\huge\boxed{x = 10,000}[/tex]

Given:

[tex]logx = 4[/tex]

The given expression is a logarithm with a base of 10, therefore we can rewrite this as:

[tex]10^{4} = x[/tex]

Evaluate:

[tex]x = 10,000[/tex]

Answer:

see explanation

Step-by-step explanation:

Given

10 = 7 - m ( subtract 3 from both sides )

3 = - m ( multiply both sides by - 1 )

- 3 = m , or

m = - 3

As a check

Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution

7 - m = 7 - (- 3) = 7 + 3 = 10 = left side

Thus m = - 3 is the solution to the equation

Answer:

10 + 5x ≤ 25

Step-by-step explanation:

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

We can try and isolate x on one side of the equation to find its value.

First let's apply the distributive property on the left side and get a simpler equation.

[tex]7(2-2x)=-13-5x\\\\14-14x = -13-5x[/tex]

Now, to simplify this down, we can add 5x to both sides.

[tex]14-14x + 5x = -13-5x + 5x\\\\14-9x=-13[/tex]

Now we can add 13 to both sides:

[tex]14-9x+13=-13+13\\\\27-9x=0[/tex]

Now we subtract 27 from both sides:

[tex]27-9x-27=0-27\\\\-9x=-27[/tex]

And finally we divide both sides by -9.

[tex]-9x\div-9=-27\div-9\\\\x=3[/tex]

Hope this helped!

Answer:

[tex]\Huge \boxed{x=3}[/tex]

Step-by-step explanation:

[tex]7(2-2x)= -13-5x[/tex]

Expanding brackets.

[tex]14-14x= -13-5x[/tex]

Adding 5x and -14 to both sides.

[tex]-14x+5x=-13-14[/tex]

[tex]-9x=-27[/tex]

Dividing both sides by -9.

[tex]x=3[/tex]

Answer:

4/42 = 2/21 when simplified down

Step-by-step explanation:

Cancel the common factor: 2

=2/21

Answer:

Step-by-step explanation:

[tex]\frac{4}{42}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{2}{21}\\\\\left(\mathrm{Decimal:\quad }\:0.09523 \right)[/tex]

Answer: y= 156

Step-by-step explanation:

y= 12(3-4) (-5 -8)

The image to the question is missing, but I found a matching image, which is attached to this solution

Answer:

3 minutes = 13 dots

100 minutes = 401 dots

t minutes = 4(t) + 1 dots

Step-by-step explanation:

From the image, the following can be noticed:

time (Mins)       dots

0                          1

1                           5

2                          9

The pattern gotten from this progression is that, if the time is multiplied by 4, and the result added to one, the result will be the number of dots.

hence, when the time is 0 minutes:

0 × 4 = 0

0 + 1 = 1 ( 1 dot)

when the time is 1 minute

1 × 4 = 4

4 + 1 = 5 (5 dots)

when the time is 2 minutes

2 × 4 = 8

8 + 1 = 9 ( 9 dots)

Therefore,

when the time = 3 minutes

3 × 4 = 12

12 + 1 = 13 dots

at 100 minutes:

100 × 4 = 400

400 + 1 = 401 dots

at t miutes

t × 4 = 4t

4t + 1 = number of dots

Therefore number of dots at t minutes = 4(t) + 1

Answer with explanation:

[tex]1)\ \ 4x^5 + 2[/tex]

Name = Binomial   (as it has two terms)

Degree= 5     (power of x)

Leading Coefficient = 4   (coefficient of [tex]x^5[/tex])

[tex]2)\ \ - 4x + 7x^3-11[/tex]

Name = trinomial  (as it has 3 terms)

Degree = 3   (highest power of x)

Leading Coefficien= 7    ( coefficient of  [tex]x^3[/tex])

[tex]3)\ \ 18x^5y^3z[/tex]

Name= Monomial  (as it has 1 term)

Degree= 5+3+1= 9    [Addition of power of all variables]

Leading Coefficient = 18

Answer:

see below

Step-by-step explanation:

Area 1 = 3 x 3 = 9 m²

Area 2 = 4 x 4 = 16 m²

Area 3 = 5 x 5 = 25 m²

The areas are 16 unit², 9 unit² and 25 unit² respectively.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. Square units are used to measure it as well.

As per the given diagram:

We are given 3 squares, and we have to find out the area of each square.

The area of a square is given by a², where a is the length of the side of the square.

For area of the square with length of the side, 4 units.

A = (4)² unit² = 16 unit²

For area of the square with length of the side, 3 units.

A = (3)² unit² = 9 unit²

For area of the square with length of the side, 5 units.

A = (5)² unit² = 25 unit²

The areas are 16 unit², 9 unit² and 25 unit² respectively.

Hence, The areas are 16 unit², 9 unit² and 25 unit² respectively.

To learn more about surface area, click:

brainly.com/question/29298005

#SPJ3

Answer:

-2.5

Step-by-step explanation:

Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test

To calculate the z-score, we need to use a mathematical formula

Mathematically;

z-score = (x - mean)/SD

From the question;

x = 76

mean = 86

standard deviation SD = 4

Plugging these values in the equation, we have;

z-score = (76-86)/4 = -10/4 = -2.5

Answer:

Hey there!

(a+(-a))+b

a-a+b

b

Let me know if this helps :)

Answer:

b // (a-a)+b

Step-by-step explanation:

(a+(-a)) +b

(a-a)+b

b

Answer:

Step-by-step explanation:

Given,

diameter ( d ) = 12 in

height ( h ) = 15 in

finding the radius of a cylinder

Radius is just half of diameter.

Radius ( r ) = 12 / 2 = 6 in

finding the volume of a cylinder having radius of 6 in and height of 15 in

Volume of a cylinder = [tex] \sf{\pi \: {r}^{2} h}[/tex]

⇒[tex] \sf{ \frac{22}{7} \times {6}^{2} \times 15}[/tex]

⇒[tex] \sf{ \frac{22}{7} \times 36 \times 15}[/tex]

⇒[tex] \sf{1697.14} \: in[/tex]

Hope I helped!

Best regards!!

Answer: 1697.1[tex]in^{3}[/tex]

Step-by-step explanation:

diameter= 12

radius= [tex]\frac{diameter}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6

height = 15

volume =π[tex]r^{2}[/tex]h

[tex]\frac{22}{7} X 6^{2} X 15[/tex] =1697.1[tex]in^{3}[/tex]

Answer:

Step-by-step explanation:

y = 6x + 2

Slope = 6

A line perpendicular to this would have a negative reciprocal slope = [tex]-\frac{1}{6}[/tex]

To solve for the y-intercept, plug the coordinates given into the question.

y = mx + b

5 =[tex]-\frac{1}{6}[/tex] (3) + b

5 = [tex]-\frac{3}{6}[/tex] + b

5 = [tex]-\frac{1}{2}[/tex] + b

b = 5 + [tex]\frac{1}{2}[/tex]

b = [tex]\frac{11}{2}[/tex] or 5 [tex]\frac{1}{2}[/tex]

So, your new slope-intercept line equation is

y = [tex]-\frac{1}{6}[/tex]x + 5 [tex]\frac{1}{2}[/tex]

I would really appreciate it if you would please mark me brainliest!

Have a blessed day!

Hello, we need to solve this system, c being a real number.

[tex]\begin{cases}y &= 3x^2-5x\\y &= 2x^2-x-c\end{cases}[/tex]

y=y, right? So, it comes.

[tex]3x^2-5x=2x^2-x-c\\\\3x^2-2x^2-5x+x+c=0\\\\\boxed{x^2-4x+c=0}[/tex]

We can compute the discriminant.

[tex]\Delta=b^2-4ac=4^2-4c=4(4-c)[/tex]

If the discriminant is 0, there is 1 solution.

It means for [tex]4(4-c)=0 <=> 4-c=0 <=> \boxed{c=4}[/tex]

And the solution is

[tex]x_2=x_1=\dfrac{4}{2}=2[/tex]

If the discriminant is > 0, there are 2 real solutions.

It means 4(4-c) > 0 <=> 4-c > 0 <=> [tex]\boxed{c<4}[/tex]

And the solution are

[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{4-c}}{2}=2-\sqrt{4-c}\\\\x_2=2+\sqrt{4-c}[/tex]

If the discriminant is < 0, there are no real solutions.

It means 4(4-c) < 0 <=> 4-c < 0 <=> [tex]\boxed{c>4}[/tex]

There are no real solutions and the complex solutions are

[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{i^2(c-4)}}{2}=2-\sqrt{c-4}\cdot i\\\\x_2=2+\sqrt{c-4}\cdot i[/tex]

Thank you.

Answer:

  M(-4, -1)

Step-by-step explanation:

M = (A +B)/2

M = ((-7, 2) +(-1, -4))/2 = (-8, -2)/2 = (-4, -1)

The location of M is (-4, -1).

Answer:

f(-3) = -3

Step-by-step explanation:

f(x) = 2x +3

Let x = -3

f(-3) = 2*-3 +3

     = -6+3

     = -3

Answer:

-3

Step-by-step explanation:

1. Subsitute x for -3

2. multiply 2(-3) = -6

3. add -6 +3

4. f(-3) is -3

Answer:

1.6 ounces

Step-by-step explanation:

Divide the ratio by 5 to get the number of ounces of dark chocolate used for 1 ounce of white chocolate, since 5/5 = 1

8/5 = 1.6

5/5 = 1

The new ratio is 1.6 : 1

This means that 1.6 ounces of dark chocolate are used for every 1 ounce of white chocolate

Answer:

25700000

Step-by-step explanation:

1,000 miligrams in a gram so 25700*1000 = 25700000

Answer:

x = 8

Step-by-step explanation:

Standard form for inverse variation:

y = k/x

We now use the given information to find k.

y = 6 when x = 24

6 = k/24

k = 6 * 24

k = 144

The equation for this inverse relation is

y = 144/x

For y = 18, we get

18 = 144/x

18x = 144

x = 144/18

x = 8

Answer:

Step-by-step explanation:

To find the value of x when y = 18 we must first find the relationship between them.

The statement

y varies inversely as x is written as

where k is the constant of proportionality

From the question when

y = 6

x = 24

Substitute the values into the above equation

That's

Cross multiply

That's

k = 24(6)

k = 144

So the formula for the variation is

When

y = 18

Cross multiply

18x = 144

Divide both sides by 18

Hope this helps you

Opposite exterior angles are congruent.

DGH = AEG

DGH = 110

Answer:

28 > x

Step-by-step explanation:

Step 1: Solve the inequality

[tex]7 > \frac{x}{4}\\28 > x[/tex]

Therefore x is any value smaller than 28

Answer:

[tex]\huge\boxed{x<28}[/tex]

Step-by-step explanation:

[tex]7 > \frac{x}{4}\\\\7*4>\frac{x}{4}*\frac{4}{x}\\\\28>x\\\\\boxed{x<28}[/tex]

Answer:

14 giraffes, 28 people and 42 lions

Step-by-step explanation:

you add how many legs for all 3 x1

add this you have a total 14

double that is 28 triple that is 42

total 84

The linear function that models the population of bloater fish is y2= -92.57x + 1, 052

The linear equation that determines when the two populations were equal is

-19.76x + 227 = -92.57x + 1052

The solution is x= 11.33 years

Answer:

40 shares each and $3,000 each

Step-by-step explanation:

The computation is shown below:

For the number of shares

Since there are total of 500 shares out of which 260 shares are held by Caren so the remaining shares left is

= 500 shares - 260 shares

= 240 shares

And, there are 6 investors

So the number of shares owned by each investor is

[tex]= \frac{240}{6}[/tex]

= 40 shares

Now the value of the shares held by each inventory is

[tex]= 40 shares \times \$75[/tex]

= $3,000

Total debt is $65,000

So, the liability per share is

[tex]= \frac{\$65,000}{500}[/tex]

= $130

And each investor holds 40 shares

So, each investor is liable for

[tex]= \$130 \times 40\ shares[/tex]

= $5,200

As we can see that the value of the shares is less than the amount liable by each investor

So each investor is liable for $3,000

And, the liability of Caren is

[tex]= 260\ shares \times \$75[/tex]

= $19,500

Answer: Commutative Property

Step-by-step explanation: In Picture.

Answer:

[tex]\Huge \boxed{2(-5x+11)}[/tex]

Step-by-step explanation:

[tex]7 - 3(2x - 5) - 4x[/tex]

Expanding brackets.

[tex]7-6x+15-4x[/tex]

Grouping like terms.

[tex](-6x-4x)+(7+15)[/tex]

Combining like terms.

[tex]-10x + 22[/tex]

Factoring the expression.

[tex]2(-5x+11)[/tex]

Greetings from Brasil...

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

(I chose S to remember a sum)

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So,  (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

J = 160 - 180

So, including the number - 20 (minus 20) in the original mean we will obtain a new mean whose result will be 16