A solid metal cuboid has length 9 cm, width 6 cm and height 4 cm
The cuboid is melted down and all metal is used to make a solid cube.
calculate the length of one side of the cube.

The rectangle is 4 feet long and 0.5 feet wide. l²+w² equals 16.25 feet².

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area is a phrase used to describe how much room a 2D form or surface occupies.

Here,

Let l be the length and w be the width.

area=2

lw=2

w=2/l

2(l+w)=9

2l+2w=9

2l+2*2/l=9

2l²+4=9l

2l²-9l+4=0

l=0.5,4

w=4,0.5

l=4 and w=0.5

l²+w²=4²+0.5²

=16.25 feet²

The length of rectangle is 4 feet and width is 0.5 feet. The value of l²+w² is 16.25 feet².

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Answer: 113 bananas

Step-by-step explanation:

The ratio is 6:19, with 6 papayas for every 19 bananas.

We have 36 papayas, which is 6 times, so we just need to get 19 times 6 = 113 bananas

The equation of parabola will be;

⇒ y = 4 ( x + 4)² - 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The vertex = (- 4, - 8)

And, The focal diameter = 16

Now,

Since, The vertex (h, k) = (- 4, - 8)

And, The focal diameter (4a) = 16

⇒ 4a = 16

⇒ a = 4

Hence, The equation of parabola with vertex (h, k) will be;

⇒ y = a (x - h)² + k

Substitute all the values, we get;

⇒ y = 4 (x - (-4))² + (-8)

⇒ y = 4 ( x + 4)² - 8

Thus, The equation of parabola will be;

⇒ y = 4 ( x + 4)² - 8

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In order to build a cube with an edge length of b inches, b3 cubes with 1-inch edges are required.

A cube is a three-dimensional object with six square faces that are all the same size and form in mathematics. A cube has perpendicular sides and is symmetrical along all three axes. Finding the area of one of a cube's faces and increasing it to the third power yields the volume of the object. V=s3, where s denotes one of the cube's sides, is the formula for calculating a cube's volume. Cubes are frequently used in geometry and algebra, and they have a wide range of real-world uses, including volume measurement and the solution of mathematical equations.

How to solve?

The volume of a cube with an edge length of b inches is b3 cubic inches. For instance, if b=3, we would require 33=27 cubes with 1 inch-long edges, and the volume of a cube with a three inches edge would be 33=27 cubic inches.

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The expression for 60 decreased by twice Jenny's score 60 - 2x.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

Let Jenny's score be x.

Twice Jenny's score will be 2x.

Therefore, the expression will be:

= 60 - 2x

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you need to show the problem

Answer: y = -2x + 5

Step-by-step explanation: I think it's the same one...

Answer:

idek

Step-by-step explanation:

In older adults, a higher level of social support is related to question is D. a lower probability of depression.

Depression is a prevalent mental illness. According to estimates, the disorder affects 5% of adults worldwide. Consistent sadness and a lack of interest in previously fulfilling or enjoyable activities are its defining traits. Additionally, it may impair appetite and sleep. Concentration problems and fatigue are frequent.

A severe mental illness called major depressive disorder has an impact on how people feel, think, and carry out their daily activities. The condition may also affect a person's ability to enjoy life, appetite, and sleep patterns. When there's social support, people are happier and this reduce depression.

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The translated points are A'(7, 9), B'(8, 8), and C'(4, 12) when they have been translated 6 units to the right and 10 units up.

A coordinate plane is a plane in which a set of two number lines are represented, horizontal line is called x-axis and vertical line is called y-axis.

The given points are,

A(1, -1), B (2, -2) and C(-2, 2).

When the points are translated 6 units to the right and 10 units up implies that,

There will be increase of 6 units in x coordinate and increase of 10 units in y coordinate

The point coverts as

A'(7, 9), B'(8, 8), and C'(4, 12)

The translated points are A'(7, 9), B'(8, 8), and C'(4, 12).

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Chord AC is the nearest to the center because the perpendicular distance of chord AC from center O is the smallest.

What is a chord of a circle?

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line or just secant. More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse.

ΔABC is inscribed in O. If AB = 5, BC = 8, and AC =9.

Now if you look carefully at the given diagram, we can see that the perpendicular distance of chord AC from center O will be smaller than the perpendicular distance of chord AB from center O and the perpendicular distance of chord BC from center O.

Hence, Chord AC is the nearest to the center because the perpendicular distance of chord AC from center O is the smallest.

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Sam has 7/8 m of rope left.

What is fraction ?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

To derive a solution, you have to subtract the meter of rope that Sam has from the meter of rope he cut for a project.  

Therefore,

1½ - 5/8,  

Since the meter of rope Sam had is represent with a mixed fraction, we have to convert it to an improper fraction, and therefore 1½ can also be written as 3/2

Therefore, we have

3/2 – 5/8

To solve this fraction, you need to find the smallest number that can divide the denominator (2 and 8), which is 8.  

Now divide the denominators with 8 and multiply the answers you get by the numerators.

Therefore, we have

3/2 -5/8

= 12/8 – 5/8

= 7/8 m.

Therefore, Sam has 7/8 m of rope left.

The smallest number used to divide the denominators is also known as the lowest common denominator (LCD).

A fraction has 2 parts, which are numerator and denominator. The numerator is the number at the top in a fraction while the denominator is the number below in a fraction.  

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Answer:

90

I am not too sure but this question is VERY BRAIN-INTENSIVE

Sorry, if i am wrong

Answer:

M=960

F=480

Step-by-step explanation:

look at the work I did

Answer:

x = 100

Step-by-step explanation:

You have to use the equation 15x + 10 = 6x - 6 + 70. This equation finds out that x = 6. Then, you would multiply 6 by 15. This gets 90. Finally, add 10 to that.

The required compound interest is $5,510.03

What is compound interest?

Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods.

Given, Principal = $9,000

Time = 4 years

Interest = 12% = 0.12

For compounded monthly, n = 12

The compound amount for monthly compounded is given by

[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

or, A = [tex]9000(1 + \frac{0.12}{12} )^{12*4}[/tex]

or, A = 9000[tex](1+0.01)^{48}[/tex]

A = $14510.03

Compound interest = $14510.03 - $9,000 = $5,510.03

Hence, the required compound interest is $5,510.03

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Answer:

distance ≈ 5.66 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = N (- 5, 7 ) and (x₂, y₂ ) = P (- 1, 3 )

d = [tex]\sqrt{(-1-(-5))^2+(3-7)^2}[/tex]

  = [tex]\sqrt{(-1+5)^2+(-4)^2}[/tex]

  = [tex]\sqrt{4^2+16}[/tex]

  = [tex]\sqrt{16+16}[/tex]

  = [tex]\sqrt{32}[/tex]

  ≈ 5.66 units ( to the nearest hundredth )

The sum of two successive odd integers must be at least 16, hence the inequality will be x+1≥4 and the solution will be x≥3.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Here,

Sum of 2 consecutive odd integer=16

Let them be 2x+1 and 2x+3,

2x+1+2x+3≥16

4x+4≥16

x+1≥4

x≥3

The inequality will be x+1≥4 and solution to the inequality will be x≥3 as sum of two consecutive odd integers is at least 16.

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If the expected value of d is not equal to d, then the property that d hat exhibit is option (E) d hat is biased

Here a certain statistic d cap is being used to estimate a population parameter d

The central limit theorem states that "the distribution of sample means approximates a normal distribution as the sample size gets larger."

According to the central limit theorem,

The expected value is μ = p

Then the standard error will be

s = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

Here it is given that the expected value of d cap is not equal to d. So it is different from the expected value  μ = p.

Therefore, the d hat is biased

I have answered the question in general, as the given question is incomplete

The complete question is :

A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. What property does d hat exhibit?

A. The sampling distribution of d hat is normal.

B. The sampling distribution of d hat is binomial.

C. The sampling distribution of d hat is uniform.

D. d hat is unbiased.

E. d hat is biased.

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Answer:8.44

Step-by-step explanation:

Area of the circle is 56.

Divide 56 by 3.14(Pi)

56/3.14=17.8343949

Square root it

Square root of 17.8343949=4.223078841

4.22 is the radius so to find the diameter you just multiple by 2.

4.223078841x2=8.446157683

Answer: Richard =24 Teo = 8

Step-by-step explanation:

32-8 = 24

24-8 = 16

16/2= 8

To calculate the distance between the points -5, -3 and -5, -6. We apply the following formula:

(x₁, y₁) and (x₂, y₂)   d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

 (x₁ = -5, y₁ = -3) and (x₂= -5, y₂= -6)

We apply the above formula and solve.

The distance between the points -5, -3 and -5, -6 is 3.

Denise puts $67.50 in the savings account every week.

What is a percentage?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) besides the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

To find out how much money Denise puts in the savings account each week, you need to multiply her weekly earnings by the percentage she puts into the savings account.

First, convert the percentage to a decimal by dividing by 100: 30% = 0.30

Then, multiply Denise's weekly earnings by this decimal to find the amount she puts into the savings account each week:

=$225 * 0.30

=67.50.

Hence, Denise puts $67.50 in the savings account each week.

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Answer:

1. 7.5

2. 0.75

3. 0.075

4. 0.375

Step-by-step explanation:

Yw, and have a good day to everyone who reads this <3 :)

Answer:

In linear equation, 3 t is the maximum possible weight .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Assuming x to be lightest , y median and z the heaviest.

So according to given information average is 7 so total sum for three box = 21

thus x+y+z = 21

Given y=9 (median weight)

thus x+z = 12

For maximum possible value for x is 3 such that z= 9

if x=4 then Z= 8(this changes median to 8)

So maximum possible value for lightest box is 3

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To find the 3 smallest positive x-intercepts of the graph of y = cos(12x) + cos(16x), you can use the following steps:

Set y equal to 0 and solve for x to find the x-intercepts of the graph.

Since the graph of y = cos(12x) + cos(16x) is periodic with period 2π/12 = π/6 and 2π/16 = π/8, respectively, you only need to consider x-intercepts in the interval [0,π/6).

Use the identity cos(a+b) = cos(a)cos(b) - sin(a)sin(b) to rewrite the equation y = cos(12x) + cos(16x) as:

y = 2cos(4x)cos(8x) - sin(4x)sin(8x)

Set y equal to 0 and solve for x to find the x-intercepts. This will give you the x-coordinates of all the x-intercepts of the graph.

Sort the x-coordinates in increasing order and take the first three smallest positive values to find the 3 smallest positive x-intercepts.

For example, if you set y equal to 0 and solve for x, you get:

0 = 2cos(4x)cos(8x) - sin(4x)sin(8x)

This equation can be rewritten as:

cos(4x)cos(8x) = sin(4x)sin(8x)

Using the identity cos(a) = sin(π/2 - a) and substituting this into the equation above, we get:

sin(4x)sin(8x) = sin(4x + π/2)sin(8x)

This equation simplifies to:

sin(4x)sin(8x) = sin(4x)cos(8x)

Dividing both sides by sin(4x) and rearranging, we get:

sin(8x) = cos(8x)

This equation holds for all values of x that satisfy sin(8x) = cos(8x), so we can find the x-intercepts by setting these two functions equal to each other and solving for x:

sin(8x) = cos(8x)

sin^2(8x) = cos^2(8x)

sin^2(8x) - cos^2(8x) = 0

1 - cos(16x) = 0

cos(16x) = 1

Thus, the x-intercepts of the graph are at x = 0, x = π/16, x = π/8, x = 3π/16, and so on. Since we are only interested in the 3 smallest positive x-intercepts, we can take the first three values in this list: x = 0, x = π/16, and x = π/8.

Therefore, the 3 smallest positive x-intercepts of the graph of y = cos(12x) + cos(16x) are [0, π/16, π/8].

In terms of this scenario, the point (9 , 1) means B. The point (9 , 1) means you can buy 9 pairs of jeans and 1 pair of shoes.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, you have a total of $320 to spend. You see several styles of shoes you like and each pair costs $16. You also like several pairs of jeans and each pair costs $32. You want to purchase more than 6 items.

Let x represent the number of pairs of shoes you can buy, and y represent the number of pairs of jeans you can buy.

The point (9 , 1) means you can buy 9 pairs of jeans and 1 pair of shoes. This can be illustrated as:

9($32) + 1($16)

= $282 + $16

= $298

The correct option is B.

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