**Answer:**

What happened to each packet of washing powder

please finish the question so i can answer xD

if i infer right then each packet of washing powder was washed up in the washing machine! :)

a box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm by cutting out squares of length x by x from each corner and bending up the sides. what is the maximum volume this box could have? (round your answer to two decimal places.)

The **maximum volume** of the box is **54 cm³** .

To obtain the largest **volume** feasible, multiply each measurement by the largest** possible error.** To find the least volume that may be created, multiply after subtracting the** biggest possible error** from each measurement.

Given :

a box is to be constructed from a sheet of cardboard that is 10 cm by 60 cm

cutting out squares of length x by x from each corner and bending up the sides

⇒ (50-2x)(10-2x)(x)

⇒ 500-100x-20x+4x^2) (x)

⇒ 4x^3-120x^2+500x

⇒ dv/dx 12x^2-240x+500=0

⇒ 3x^2-60x+125=0

⇒ Quadratic formula x=[60 ± √2100]/6

⇒ x= 2.36 or 17.64

volume max: 45.28 x 5.28 x 2.36= 564 cm^3

Hence The **maximum volume of the box** is **54 cm³**

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1.75 x 1.25 estimate

Answer:

2.1875

(in nearest hundredths it would be 2.19(rounded)

Solve y3 = 1.

answers are

y = −1

y = 1

y = ±1

y = 3

**Answer:**

Is y3 supposed to be y^3? Is so, the answer is 1.

**Step-by-step explanation:**

If the equation is correct as written, 3y = 1, then y = 1/3

y^3 = 1

This can also be written as y^2*y = 1

1. If y = -1, then y^2y would be (1)*(-1) = -1

2. If y = 1, then (1)^3 * (1) = 1 **This works.**

3. If y = ±1, then -1 is a possible answer and -1 does not work as per #1

4. 3^3 = 27

Write an equation in slope-intercept form of the line that passes through $\left(1,-9\right)$ and $\left(-3,-9\right)$ . An equation is

The** equation of line** is y = -9.

These **lines** are written in the form **y = mx + b**, where m is the **slope **and b is the **y-intercept**. We know from the question that our** slope** is 3 and our** y-intercept** is –5, so plugging these values in we get the **equation **of our line to be y = 3x – 5.

Given that,

(1, -9) = ( [tex]x_{1}, y_{1}[/tex])

(-3, -9) = [tex](x_{2},y_{2})[/tex]

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

= [tex]\frac{-9+9}{-3-1}[/tex]

Slope = 0

Then the **equation of line**

[tex]y-y_{1} = m(x-x_{1})[/tex]

y+9 = 0

y = -9

Hence, The** equation of line** is y = -9.

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Pancakes are made with 1½ cups water and 1/2

What is the ratio of water to milk?

cup milk.

1 1/2 : 1/2 is the rario of wayer to milk

The **ratio** of water to milk is 3:1.

The** quantitative** relation between two amounts showing the number of times one value contains or is contained within the other is called **ratio**.

Water = 1½ cups

= 3/2 cups

Milk = 1/2 cup

Ratio of Water to milk

= 3/2 : 1/2

= 3/2 ÷ 1/2

= 3/2 x 2/1

= 3/1

so, the ratio of water to milk is 3:1.

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The distribution of the salaries at a small business is strongly skewed with many people making very modest salaries and a few making very large salaries. Which measure of center, mean or median, is a better indication of a "typical” salary at this business?

The mean is better because it is not affected by the high salaries.

The median is better because it is not affected by the high salaries.

It cannot be determined without knowing the actual salaries.

Either one would be a good measure of a typical salary because they are the same value.

(Plss someone help, this is my last try... ima cry if I fail this sh again)

The measure of **center** that is a better indication of a "typical” salary at this business is A. The **mean** is better because it is not affected by the high salaries.

When the majority of the **data** are gathered on the left of the distribution curve or the histogram, the distribution is said to be positively **skewed**, or skewed to the right.

If the majority of the **data** are gathered on the right side of the distribution curve or the histogram, the distribution is said to be negatively **skewed**, or to the left. It is assumed that many employees at tiny businesses earn extremely low pay while a select few earn very high salaries. In this case, the **mean** gives between information about the data.

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The measures of the angles of a triangle are shown in the figure below. Solve for x.

54°

(7x+1)°

**Answer:**

54 + (7x + 1) + 90 = 180° (sum of angles in triangle=180)

7x = 35

x = 5

**Answer: **

x = 5

**Step-by-step explanation: **

This question deals with a **right-angled triangle**. The sum of the angles in a triangle is equal to **180 degrees**. A right angle is equal to **90 degrees** which means that the other two angles must equal to **90 degrees** as well.

Form the equation.

( 7x + 1 ) + 54 + 90 = 180;

Subtract 90 from both sides.

7x + 1 + 54 + 90 - 90 = 180 - 90;

7x + 1 + 54 = 90;

Simplify left-hand side.

7x + 55 = 90;

Subtract 55 from both sides.

7x + 55 - 55 = 90 - 55;

7x = 35;

Divide both sides by 7.

x = 35 / 7;

x = 5;

Reasoning 5 Jack calculates 6 x 102 + 3 x 10³ = 9 × 105 Explain Jack's mistake, and write in the correct answer in standard index form.

**Answer:**

3.6*10³

**Step-by-step explanation:**

Jack cannot add the powers of 10 because they are in addition. We can apply the **exponent rule** only when they are in multiplication.

[tex]\sf 6 *10^2 + 3*10^3= 6*100 + 3*1000\\[/tex]

= 600 + 3000

= 3600

[tex]\sf = 3.6 * 10^3[/tex]

Answer is 3.6 x 10^3

Step by step

It appears Jack added his exponents and added his constants

1) Exponents are added when exponents are multiplied by exponents. This is not true here.

2) Constants cannot be added here because of order of operations in math says to multiply and divide before add and subtract.

6 x 10^2 + 3 x 10^3 = ?

Following the math order of operations, or PEMDAS,

we will process Exponents (E in PEMDAS) first.

6 x 100 + 3 x 1000 =

Now Multiplication (M in PEMDAS)

600 + 3000 =

Now Add (A in PEMDAS)

= 3600

Answer in standard index form is the same as scientific notation

= 3.6 x 10^3

Step by step

It appears Jack added his exponents and added his constants

1) Exponents are added when exponents are multiplied by exponents. This is not true here.

2) Constants cannot be added here because of order of operations in math says to multiply and divide before add and subtract.

6 x 10^2 + 3 x 10^3 = ?

Following the math order of operations, or PEMDAS,

we will process Exponents (E in PEMDAS) first.

6 x 100 + 3 x 1000 =

Now Multiplication (M in PEMDAS)

600 + 3000 =

Now Add (A in PEMDAS)

= 3600

Answer in standard index form is the same as scientific notation

= 3.6 x 10^3

the third term in the sequence is 11

the term-to-term rule is "take away 4"

write an expression on in terms of n for the nth term of the sequence

An expression, in terms of n, for the **nth term** of this **arithmetic sequence **is aₙ = 23 - 4n.

An **arithmetic sequence** can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the **nth term** of an **arithmetic sequence** can be calculated by using this expression:

aₙ = a₁ + (n - 1)d

Where:

d represents theFor the second **term**, we have:

a₂ = a₃ - d

a₂ = 11 - (-4)

a₂ = 11 + 4

a₂ = 15.

For the first **term**, we have:

a₁ = 4 + second term

a₁ = 4 + 15

a₁ = 19

Substituting the given parameters into the formula, we have;

aₙ = a₁ + (n - 1)d

aₙ = 19 + (n - 1)(-4)

aₙ = 19 - 4n + 4

aₙ = 23 - 4n

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what is the common ratio for the geometric sequence 35/2, 7, 14 / 5, 28 / 25, enter your answer as a decimal

Given:

The geometric sequence is

[tex]\begin{gathered} a_1,a_2,a_3,a_4 \\ \frac{35}{2},7,\frac{14}{5},\frac{28}{25} \end{gathered}[/tex]To find the common ratio,

[tex]\begin{gathered} Ratio=\frac{a_2}{a_1} \\ =\frac{7}{\frac{35}{2}} \\ =\frac{7\cdot2}{35} \\ =\frac{14}{35} \end{gathered}[/tex]Hence the common ratio, *r* is 14/35.

The telephone company offers two billing plans for local calls. Plan 1 charges $31 per

month for unlimited calls and Plan 2 charges $13 per month plus $0.03 per call.

a. Use an inequality to find number of monthly calls for which Plan 1 is more

economical than Plan 2.

b. Explain the meaning of the answer to part a.

**Answer:**

i think is (a)

because i zay do

**Step-by-step explanation:**

anyways...... i want more pictures of math problems

Deshaun invested in a savings bond for 4 years and was paid simple interest at an annual rate of 2%. The total interest that he earned was $160. How much did he invest?

For a **Simple Interest** of $160, the amount that he invested is $2000.

**Simple interest** is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily **interest rate, the principle**, and the **number of days** between payments are multiplied to calculate simple interest.

Given:

Simple Interest (S.I.) = $160

Rate of Interest (R) = 2%

Time Period (T) = 4 Years

Let the Principal Amount be $P

We know,

[tex]S.I. =\frac{P*R*T}{100}[/tex]

Putting the given values in the formula, we get:

[tex]S.I. =\frac{P*R*T}{100}\\S.I. =\frac{P*2*4}{100} =\frac{P*8}{100}\\ 160 =\frac{P*8}{100} \\P = \frac{160*100}{8} =\frac{16000}{8} = 2000[/tex]

Hence, He Invested $2000

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**Answer:**

$2,000

**Step-by-step explanation:**

Simple Interest Formula

[tex]\large\boxed{\sf I = Prt}[/tex]

where:

I = Total interest accrued.P = Principal.r = Interest rate (in decimal form).t = Time (in years).Given values:

I = $160r = 2% = 0.02t = 4 years**Substitute **the given **values **into the **formula **and **solve for P**:

[tex]\implies \sf 160=P \cdot 4 \cdot 0.02[/tex]

[tex]\implies \sf 160=0.08P[/tex]

[tex]\implies \sf P=\dfrac{160}{0.08}[/tex]

[tex]\implies \sf P=2000[/tex]

Therefore, the **amount **Deshaun **invested **was **$2,000**.

I WILL GIVE BRAINLIEST!! HELP PLEASE NOW!!

A conjecture and the flowchart proof used to prove the conjecture are shown.

Drag an expression or phrase to each box to complete the proof.

yes thank you very muchGiven: Measure of angle D E G equals 51 degrees. Measure of angle G E F equals 39 degrees. Prove: Triangle D E F is a right triangle. Art: A right angle triangle D E F. Angle D E F is a right angle. Point G is on segment D F, and segment E G is drawn.

Which expression is equivalent to (1)/(2^(-2)*3^(-2)) ?

**Answer:**

B Description is in the picture

**Answer:**

[tex]2^2*3^2[/tex]

**Step-by-step explanation:**

By definition of a **negative exponent**: [tex](\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}[/tex]

In the last step I simply distributed the exponent, but this actually goes both ways! So we can do: [tex]\frac{b^x}{a^x}\implies(\frac{b}{a})^x[/tex]

The next thing you need to know is that: [tex](ab)^x=a^x*b^x[/tex]

and like the previous statement, it works both ways! So this means: [tex]a^x*b^x\implies (ab)^x[/tex]

So the denominator of the expression given can be expressed as:

[tex](2^{-2}*3^{-2})\implies (2*3)^{-2}[/tex]

Lastly you need to understand: [tex]1^x[/tex] just simplifies to one, because [tex]1*1*1*1...\text{ x amount of times}[/tex] will stay equal to **one**. So we can thing of 1 as being raised to some number, even if not explicitly stated.

This helps because we can write **one** as: [tex]1^{-2}[/tex]

so now we have the expression:

[tex]\frac{1^{-2}}{(3*2)^{-2}}[/tex]

Well this can because now we can "factor" out this exponent just like how it was demonstrated in the beginning

We get the expression: [tex](\frac{1}{3*2})^{-2}[/tex]

Now we use the definition of a negative exponent, to get the **reciprocal** giving us the expression

[tex](\frac{3*2}{1})^{2}[/tex]

We can now "distribute" this exponent across the division to get

[tex]\frac{(3*2)^2}{1^2}[/tex]

Well 1 squared just simplifies to 1, so it's redundant to write.

This gives us the expression:

[tex](3*2)^2[/tex]

and as stated before we can distribute this across multiplication, and another way to think of it is:

[tex](3*2)^2\implies (3^2*2^2)\\\\\\text{because } (3*2)^2\implies (3*2)*(3*2)\implies(3*3)*(2*2)[/tex]

we're just grouping the like terms, so we can write them as an exponent.

So this gives us our final expression:

[tex]3^2*2^2[/tex]

or

[tex]2^2*3^2[/tex]

which is the option B, since the order in which we multiply does not matter.

write an equation for each line

FIRST GETS BRAINLIEST PLS HURRY

Equation: y = -x - 5

Please help me with math

The set of **numbers** from least to** greatest** is-

5×10⁻², 6%, 2/5, 4/9, 2⁻¹, √3.

What is referred as the ascending order?The arrangement of numbers or even other items in order of increasing from smallest to largest is referred to as ascending order. Ascending order is represented by numbers that emerge on a number line from left to right. We generally represent it with commas or by using the 'less-than symbol (<)' between numbers.For the given numbers;

The given** number** are-

2/5, 5×10⁻², √3, 6%, 4/9, 2⁻¹.

These number can be written in the** decimal form** as;

Now arrange the number from least to** greatest.**

0.058, 0.06, 0.40, 0.44, 0.5, 1.73

Convert the number in given form.

5×10⁻², 6%, 2/5, 4/9, 2⁻¹, √3.

Thus, the number represented in the **ascending order** are-

5×10⁻², 6%, 2/5, 4/9, 2⁻¹, √3.

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Georgia is given a rectangular piece of paper. If the

length of Georgia's piece of paper is represented by

x - 5 and the width is represented by 7x - 3, then

what is the area of the paper represented by?

**Answer:**

i will answer in 2050 my bad

i just need the points rq

**Step-by-step explanation:**

n/a

Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost 20$ . The items she bought cost a total of 160 before tax was added. What was the cost of each sweater?

A

$20\$ 20$20

Using simple** linear equation** we calculate the cost of a sweater as $35 .

A **linear polynomial **over a field, from which the coefficients are taken, can be equalised to zero to produce a linear **equation**.

Let the cost of each sweater be x.

Cost of the skirt = $20

Let us form a **linear equation** to calculate the required cost

4x + 20 = 160

solving we get :

x = 35

Therefore the cost of a skirt is $35.

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All men are mortal. Joe is a man. Therefore Joe is mortal. If the first two statementsare true, then the conclusion must be true.

**Answer:**

**Step-by-step explanation:**

Yes

The measures of the exterior angles of a quadrilateral are 2x°, 3x°, 9x°, and 10x°. Find the measure of the largest exterior angle.

Sum of exterior angles of any quadrilateral is always 360

Thus 24x= 360

=> x=15

Thus largest exterior angle is 10x I.e. 150

Thus 24x= 360

=> x=15

Thus largest exterior angle is 10x I.e. 150

HELP ME PLEASE!!! THANK U SO MUCH IF U HELP ME, UR HELP WILL BE APPRECIATED <3

**Answer:**

1b) in first image

1c) in second image

g + 3 < 6

please help me

The **solution** to the given **inequality** expression is g <3

Inequality are expressions **not separated** by an equal sign. They are separated by a less than, greater than, less than or equal to and greater than or equal to.

Given the **linear equation** below:

g + 3 < 6

We are determine the unknown variable "g"

First, we need to subtract 3 from both sides to have;

g + 3 - 3 < 6-3

g < 6 - 3

g < 3

Hence the **solution** to the given** inequality** expression is g < 3

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Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Average Cycling Speed A graph titled Average Cycling Speed has minutes on the x-axis and miles per hour on the y-axis. Points are at (5, 15), (10, 13), (15, 11), (20, 10), (25, 9). a. no correlation b. negative; as time passes, speed decreases c. positive; as time passes, speed increases d. positive; as time passes, speed decreases Please select the best answer from the choices provided A B C D Mark this and return

**Step-by-step explanation:**

5,15 can accord to be an sciencetistic teachers, the 15,11 which means you can appear to combine them together and be an 100 then you do the abcd and boom

Please help I have no clue what I’m doing! Grade is getting low and this was due awhile ago!

Given the function below, determine the following.

f(x) = 10x + 13

Find f(3).

f(3)

Find f(-8).

f(-8)

Find x if f(x) = 53.

x=

**Answer:**

see explanation

**Step-by-step explanation:**

f(3) means what is the value of f(x) when x = 3

substitute x = 3 into f(x)

f(3) = 10(3) + 13 = 30 + 13 = 43

similarly for x = - 8

f(- 8) = 10(- 8) + 13 = - 80 + 13 = - 67

given f(x) = 10x + 13 and f(x) = 53 , equate the right sides

10x + 13 = 53 ( subtract 13 from both sides )

10x = 40 ( divide both sides by 10 )

x = 4

Convert the angle \theta=310^\circθ=310

∘

theta, equals, 310, degrees to radians.

The **degrees **to **radians **conversion is given as 1° = π/180 radian thus the **conversion **of 310° is (31/18)π.

To **convert** any unit into another is called a **unit **conversion.

In order to convert **units, **we need to care about their **dimensions **their dimension should **not **be **changed**.

It is known that π **radian **= 180°.

1° = (π/180) radian.

**Multiply **both sides by 310

310° = (π/180)310

310° = (31/18)π

Hence "The **degrees **to **radians **conversion is given as 1° = π/180 radian thus the **conversion **of 310° is (31/18)π".

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You are on the prom decorating committee and are in charge of buying balloons. you want to use both latex and mylar balloons. The latex balloons cost $.10 each and the mylar balloons cost $.50 each. You need 125 balloons and you have $32.50 to spend. how many of each can you buy?

I can buy** 75 latex **balloons and** 50 mylar **balloons.

This is a problem from** an algebraic equation**. We can solve this problem by following a few steps.

We need 125 balloons. Let's assume we have to purchase** x** latex balloons.

So, mylar balloons are** ( 125 - x ).**

Our total budget is $32.50.

The cost of x latex balloons is **($.10 × x) = $.10x** , as the latex balloons cost $.10 each.

The cost of ( 125- x) mylar balloons is ** $[( 125- x) × 0.50]** , as the mylar balloons cost $.50 each.

So the total cost is,

**$[( 125- x) × 0.50] + $.10x = 32.50**

Now, we have to solve this equation, Let's simplify it.

62.50 - 0.50x + .10x = 32.50

Or, 62.50 - 0.40x = 32.50

Or, -0.40x = 32.50 - 62.50 [ deduce 62.50 from both side ]

Or, -0.40x = -30 [ we should devide both sides 0.40 ]

Or, x = 30/0.40 =** 75**

So, the number of latex balloons is 75. Therefore, the number of remaining mylar balloons is ( 125 - 75) =** 50 **

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49 = 7/6u solve for u simplify your answer as much as possible

**Answer:**

**Step-by-step explanation:**

49 = 7/6u

49 * 6/7 = 7/6u * 6/7

42 = u

Standard to slope intercept form

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 6x+ 6[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given equation is :

[tex]\qquad\displaystyle \tt \rightarrow \: 24x + 4y = 24[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 4y =24 - 24x [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ 24}{4} - \frac{24x}{4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - 6x + 6[/tex]

And this the equation of same line in its slope intercept form, where slope (m) = -6 and y - intercept = +6

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

George is building a fence. It takes him 1/2 an hour to build 1/3 of a section of a fence. At this rate, what fraction represents the section of fence George can build per hour? Express your answer as a fraction.

**Answer:**

2/3

**Step-by-step explanation:**

If 1/3 rd of the fence can be built in 1/2 hr then in 1 hour which is 1/2 x 2 the fraction of the fence that can be built is 1/3 x 2 = 2/3

the world population was 6.9 billion at the end of 2010 and is predicted to reach 9 billion by the end of 2050.1 (a) assuming the population is growing exponentially, what is the continuous growth rate per year? round your answer to three decimal places.

The continuous **growth rate **per year of the world **population** is 0.664%.

We've been told to assume that population is growing at an exponential rate. As a result, we can employ the **population model **shown below.

N(t) = N₀ e∧(kt)

Here, N(t) represents the population after t years, N₀ represents the initial population, and k represents the continuous growth rate.

We've been told that initial population of 6.9 billion will increase to** 9 billion **in 40 years (2050-2010).

To use this information, we calculate the growth rate using the model described below.

N(40) = 6.9 e∧(40k)

N(40) = 9 (given)

9 = 6.9 e∧(40k)

Taking ㏑ both side

㏑ 9 = ㏑ 6.9 e∧(40k)

40k = ㏑(9/6.9)

k = 0.00664

k = 0.664%

Thus, the continuous **growth rate **per year of the world population is 0.664%.

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suppose the price ratio of two goods is 3/4 and jason has a budget of $100. if the price of good x increases from 6 to 12, what is the new price ratio? *
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