Question 2 [5 marks] A rectangular milk carton holds 2.1 litres of milk (2100 cm³). The base of the carton is a square. The height is 26.64cm and the width and length are 8.88cm each. 2.1. If the width and length of the carton is doubled, and the height remains the same, how much milk will the carton now hold? (3)​

Answer:

Step-by-step explanation:

equation: 2x-8=5x

x=-8/3

Answer:

8840

Step-by-step explanation:

10^2=100;

(6.8*100)*(1.3*10)

680*13

8840

Answer:

8.84 × 10³

Step-by-step explanation:

(6.8 × 10²) (1.3 × 10)

(6.8 × 1.3) (10² × 10) = (8.84) (10³)

8.84 × 10³

The   BEST advice you can offer so that he can maximize interest is : b Deposit your money as early as possible in an account with the highest interest rate possible.

Compound interest can be defined as the interest a person earn on the money they saved in their account as well as the money earn on the interest the bank gives them which implies that a person tend to earn interest on the money saved and the interest giving on the money saved.

A person can tend to earn more interest when they deposit their money earlier into an account that pay more interest rate as this will enables them to accumulate more interest.

Therefore the correct option is b.

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The complete question is:

Tyreke has $5000 to put into an account that earns compound interest. Which of the following is the BEST advice you can offer so that he can maximize interest?

a. It's ok to open an account with a low interest rates as long as you deposit your money early

b. Deposit your money as early as possible in an account with the highest interest rate possible

c. Wait for interest rates to rise above 5%, otherwise compounding doesn't have any effect

d. Compound interest will not have any effect at such a low dollar amount. Find different opportunities to earn interest on your savings.

Answer:

Yeah

Step-by-step explanation:

but i can also do it in opposite

Answer:

a,b,coeiiggjfj

jrjjunr

Answer:

13, 21, 34, 55, 89 are the next five numbers in the sequence.

Step-by-step explanation:

It's known as the Fibonacci sequence. Every term is the sum of the previous two. If you add the terms of the sequence then the result of each of the sums will form a sequence as well. For this sequence 1+1=2, 2+3=5, 5+3=8, 8+5=13, 13+8=21, 21+13=34, 34+21=55, 55+34=89 and so on.

Answer:x+y=36

xy=256

x=256/y

256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!

Step-by-step explanation:

Answer:

[tex]\frac{y^{2}}{2x}[/tex]

Step-by-step explanation:

a) simplify

[tex]\frac{y^{2} }{2x}[/tex]

Answer:

ez y² /2x

Step-by-step explanation:

Moving counterclockwise around the rectangle, the labels and coordinates of the other  vertices are; E'(6, 8), C'(10, 10), T'(0, 10)

I have drawn an image of the given triangle RECT and attached it.

The length is 10 units and width is 6 units.

From the image of the triangle, we see that the coordinates are;

R(0, 0), E(10, 0), C(10, 6), T(0, 6)

Now, we are told that moving counterclockwise around the rectangle, and after rotation, we will now have the transformations as;

R'(0, 0), E'(6, 8), C'(10, 10), T'(0, 10)

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The change to the amount of money she has = $10

what is amount ?

Amount is defined as to add up to a total .the bill for four people at a restaurant that is 50 dollars is an example of the costs of four meals that amount to 50 dollars.

A amount is a number, or quantity of something

she made 6 payments of $4each = 6(4) =$ 20 spent

she got $ 10 back  = 20-10 =$10

the change to the amount of money she has is -$10 because

she has $10 less than she started with

so the change to the amount of money she has $10

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Answer: A.)

Step-by-step explanation: if you start at 7 and take 8 away your left with a negative

A is correct purple line to 7 and red line to -1

Hope this helps

The rate of the area of the circle, expressed in terms of the circumference C, is 0.1C square centimeters per second.

What is known as a circle?

C=2πr

A=πr²

dA/dr=2πr=C

dr/dt=-0.1 cm/sec

      dA/dt

= dA/dr * dr/dt

= 2πr (-0.1) cm²/s

= -0.1C cm²/s

As a result, a circle's radius is reducing at a steady rate of 0.1 centimeters each second. The rate of the area of the circle, expressed in terms of the circumference C, is 0.1C square centimeters per second.

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The perimeter of each pool is 92 ft.

What is perimeter?

A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter.

Given, the triangles are congruent so,

20x-15 = 15x+15

=> 20x-15x = 15+15

=> 5x = 30

=> x = 30/5 = 6

Therefore, perimeter = (4x-4) + (5x+1) + 41

                                    = (4x6 - 4) + (5x6 + 1) + 41

                                    = 20 + 31 + 41

                                    = 92

Hence, the perimeter of each pool is 92 ft.

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Answer:

he has travelled nine blocks

Step-by-step explanation:

four blocks + two blocks + three blocks

=nine blocks

The most appropriate choice for equation of line in slope intercept form will be given by-

x intercept = 0 and y intercept = 0

This means that  if Ryan do not work at all, he will not be paid.

The graph is positive throughout

This means to get paid, Raid will have to spend some time doing .

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

x intercept = 0 and y intercept = 0

This means that  if Ryan do not work at all, he will not be paid.

The  graph is throughout positive.

This means to get paid, Raid will have to spend some time doing .

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Answer:

A. {2.82, √8, √11, 3 1/2}

Step-by-step explanation:

A. {2.82, 2.83, 3.32, 3.5}

√8 = 2.82842712475 or 2.83 when rounded to the nearest hundredth.

√11 = 3.31662479036 or 3.32 when rounded to the nearest hundredth.

To find the square root you multiply a factor of a number by itself in order to get that number.

3 1/2, or 7/2 = 3.5

To convert a fraction into a decimal you divide the numerator by denominator.

B. {2.24, -2.45, 2.5, -3}
√5 = 2.2360679775 or 2.24 when rounded to the nearest hundredth.

-√6 = -2.44948974278 or -2.45 when rounded to the nearest hundredth.

2 1/2, or 5/2 = 2.5

C. {-4, -4.12, -4.24, -4.36}

-√16 = -4

-√17 = -4.12310562562 or -4.12 when rounded to the nearest hundredth.

-√18 = -4.24264068712 or -4.24 when rounded to the nearest hundredth.

-√19 = -4.35889894354 or -4.36 when rounded to the nearest hundredth.

D. {3.16, 4, 2, 1.5}
√10 = 3.16227766017 or 3.16 when rounded to the nearest hundredth

√4 = 2

The length of a diagonal will be 109 cm.

What is Rectangle?

A rectangle is a quadrilateral that has parallel sides equal to each other and all the four angles are equal to 90 degrees.

Given that;

Length of a rectangle = 60 cm

Width of a rectangle = 91 cm

Now,

Since, We know that;

Diagonal of a rectangle (D) = √Length² + Width²

Substitute all the values we get;

Diagonal of a rectangle (D) = √Length² + Width²

                                         = √60² + 91²

                                         = √3600 + 8,281

                                         = √11,881

                                         = 109

So, Diagonal of a rectangle = 109 cm.

Thus, The length of a diagonal will be 109 cm.

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Step-by-step explanation:

my name is my name is mikiyas

The expression 1/(2x²) - 7y is not a polynomial because it has a negative exponent

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and positive exponent powers of variables. If the expression has a negative exponent, it is not a polynomial.

Given:

1/(2x²) - 7y = 0.5x⁻² - 7y

1/(2x²) - 7y is not a polynomial

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Main Answer:

Explanation:

Given that,

[tex]\frac{dA}{dt}[/tex] = -4

The surface area of the snow ball = 4π[tex]r^{2}[/tex]

Let the surface area = A

If A denotes the surface area and D the diameter then,

A = 4π[tex]r^{2}[/tex] = 4π[tex](\frac{D}{2} )^{2}[/tex]

⇒ A = π[tex]D^{2}[/tex]

Differentiate with respect to r,

[tex]\frac{dA}{dD}[/tex] = 2πD

By using chain rule,

[tex]\frac{dA}{dD}[/tex] = [tex](\frac{dA}{dt})[/tex][tex](\frac{dt}{dD})[/tex] = [tex]\frac{\frac{dA}{dt}}{\frac{dD}{dt}}[/tex]

⇒ 2πD = [tex]-\frac{4}{\frac{dD}{dt}}[/tex]

∴ [tex]\frac{dD}{dt}[/tex] = [tex]-\frac{4}{2\pi\\D}[/tex]

when D = 9,

[tex]\frac{dD}{dt}[/tex] = [tex]-\frac{4}{18\pi}[/tex]

∴ [tex]\frac{dD}{dt}[/tex] = [tex]-\frac{2}{9\pi}[/tex]

so, the diameter is decreasing at a rate of [tex]\frac{2}{9\pi}[/tex] .

The value of the z-score for the sample mean is estimated as 0.5.

As per the stated question;

The formula for calculating the z-score is;

z = (x - μ)/σ

x = sample size

μ = population mean

σ = standard deviation population.

The vales given in the question;

Substitute the value in the z-score.

z = (35 - 25)/20

z = 10/20

z = 0.5

Thus, the value of the z-score  for the sample mean is estimated as 0.5.

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The correct question is-

Suppose you have a population with mean 25 and standard deviation 20. You take samples of size 100 and consider the distribution of the means of those samples. What is the z-score for the of the sample means for the sample less than 35?.

The integer solutions of the system of inequalities are x >= 1 and b <= 0

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

System of inequalities 1

Here, we have

3 - 18x < 0

0.2 - 0.1x > 0

Rewrite as

0 < 0.2 - 0.1x

The above means that

3 - 18x  < 0.2 - 0.1x

Collect the like terms

So, we have

3 - 0.2 < 18x + 0.1x

Evaluate the like terms

So, we have

2.8 < 18.1x

Divide both sides by 18.1

So, we have

0.155 < x

Rewrite as

x > 0.155

The integer value greater than 0.155 is at least one

Hence, the integer solution of the system is x >= 1

System of inequalities 2

Here, we have

6 - 4b > 0

3b - 1 > 0

The above means that

6 - 4b > 0 < 3b - 1

Collect the like terms

So, we have

-4b > - 6 + 0 + 1< 3b

Evaluate the like terms

So, we have

-4b > -5 < 3b

Solve for b

b < -1.25 or -1.67 < b

The integer values in this case are 0

So, we have

b <= 0

Hence, the integer solution of the system is b <= 0

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The coordinates of the roots of the equation 3+2x-x^2=0 is (- 1, 0 ) and (3, 0 ).

A quadratic equation  can be described as the algebraic equation  that posses the second degree of x which can be seen in the form of ax2 + bx + c = 0 and this can be followed in solving the equation.

We were given:

3+2x-x^2=0

This equation can be re arranges as :

-x^2 +  3+2x=0

This can be factorized as :

(x + 1)(x - 3)

Hence the  coordinates of the roots can then be written as  (- 1, 0 ) and (3, 0 ).

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The expansion and simplified form of the expression [(x+3)(2x-1)(x+4)] will be (2x³ + x² - 25x - 12).

As per the question statement, we are provided with the expression of [(x+3)(2x-1)(x+4)] where three separate factors of the variable "x" are multiplied with each other.

We are required to expand and simplify the above-mentioned expression to obtain our desired answer.

Given, [(x + 3)(2x - 1)(x + 4)]

= [{(x + 3)*(2x - 1)}(x + 4)]

= [{(x*2x) - (x*1) + (3*2x) - (3*1)}(x + 4)]

= [(2x² - x - 6x -3)(x + 4)]

= [(2x² - 7x -3)(x + 4)]

= [(2x²*x) + (2x²*4) - (7x*x) - (7x*4) - (3*x) - (3*4)]

= [2x³ + 8x² - 7x² - 28x - 3x - 12]

= [2x³ + (8x² - 7x²) - (28x + 3x) - 12]

= (2x³ + x² - 25x - 12)

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Answer:

x = 118 text messages

Step-by-step explanation:

Since the total cost of $59.50 is comprised of the flat fee of $30 plus $0.25 for each text message, we can write

$59.50 = $30 + $0.25x

$29.50 = $0.25x

x = 118 text messages