a
10 Mustafa thinks of a number.
root of the number is a multiple of 3.
What is Mustafa's number?
11 a
b
Find all the numbers between 100 and 200 that have an integer
square root.
Find all the numbers between 100 and 200 that have an integer
13 Jiale thinks of a number. She works out the square root of the
number. Then she works out the cube root of the square root of the
number. The answer is 2.
a
Find Jiale's number.
b Show that Jiale gets the same answer if she finds the cube root first and th
the square root.

Answers

Answer 1

If Moussa thinks of a number whose root is a multiple of 3, then there are many possible numbers, like 9, 36, 81, etc.

The numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).

The number that Jiale thinks of is 64.

There are three separate, unrelated questions.

Firstly, Moussa thinks of a number whose root is a multiple of 3. Let us assume that the number is "y" and the concerned multiple of 3 be "3x" where (x = 1, 2, 3, 4, 5...)

Hence, as per the question statement,

[tex]\sqrt{y} =3x \\or, y = (\sqrt{y})^{2} =(3x)^{2} \\or,y=9x^{2}...(i)[/tex]

Using (x = 1, 2, 3, 4, 5...) in equation (i), we can have our possible set of answers, i.e., (9, 36, 81...)

Second, we are required to determine all the numbers between 100 and 200 that have an integer square root. We know that, [(10)² = 100]. Therefore, we will have to calculate the squares of numbers above 10 till the squared value reaches or crosses 200, i.e.,

[tex]11^{2}=121, (100 < 121 < 200)\\12^{2}=144, (100 < 144 < 200)\\13^{2}=169, (100 < 169 < 200)\\196^{2}=196, (100 < 196 < 200)\\15^{2}=225, (200 < 225)\\[/tex]

Hence, the numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).

Third, Jiale thinks of a number whose square root of cube root is 2. Let the number be "z". As per question statement,

[tex]\sqrt{\sqrt[3]{x}}=2\\ or,(x^{\frac{1}{3}})^\frac{1}{2} =2\\or,(x)^(\frac{1}{3}*\frac{1}{2})=2\\or, (x)^\frac{1}{6}=2\\or,x=(2)^6\\or,x=64[/tex]

And to show that Jiale would have got the same number (2) by calculating the the square root first and then the cube root,

[tex]\sqrt{64} =8,\\\sqrt[3]{8}=2[/tex].

Multiple: A multiple of "x" will be a number which will be exactly divided by x without any remainder.Integer: Any number on the number line which is not a fraction is an Integer.

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Related Questions

Select the best answer for the question.
1. Identify the binomial
O A. x² - 4x + 2
O B. 2x2 + 3x -1 + y
C.x²
O D. x² - 4
Mark for review (Will be highlighted on the review page)

Answers

The only option that is a Binomial is; D. x² - 4

What is the binomial?

A binomial is defined as a polynomial with two terms.

Examples of binomials are; x − 2 and x − 6 are both binomials.

A) x² - 4x + 2; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.

B) 2x² + 3x - 1y; This is a quadratic function with 3 terms and is therefore a trinomial and not a binomial.

C) x²; This has only one term and is therefore a monomial and not a binomial.

D) x² - 4; This is a polynomial with two terms and is therefore a binomial.

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(+3)-(-2)=
(-3)-(+2)=
(-2)-(+3)=
(-2)-(-3)=
(+2)-(-3)=

Answers

Answer:

1. +5

2.-5

3.-5

4.+1

5.+5

Answer:  1.) 5      2.) -1   3.)-5   4.)1  5.)5

Step-by-step explanation:

In round 1 in a game, Daniel earned 8.925 points. In round 2 he earned 11.6 points, and in round 3 he earned twice as many points as he did in round 2.

Answers

Answer:

23.2 points

Step-by-step explanation:

If the question is how many points did he earn in round 3, this is the answer.

Hope this helps, have a great day :)

Enter the missing values in the area model to find 6(2w+5)

Answers

12w+30
You multiply 6x2 and then 6x5

if x is directly proportional to y³ and x = 32 when y = 8,

i) find an equation connecting x & y
ii) find the values of x when y = 6
iii) find the value of y when x = 108

Quick pls!!​

Answers

Answer:

i) x = ky³

ii) 13.5

iii) 12

Flower Power shop in Davenport, FL sells 6 sunflowers for $13.50.
What would be the cost for 1 sunflower?

Answers

Answer: 2.25

Step-by-step explanation: divide 13.50 by 6 and then you get 2.25 to check you can do 2.25 times 6 and get 13.50

Answer: 2.25

Divide 13.50 by 6 to get the price of one sunflower

Simplify the expression
(2*2.3) + (3.14) (4) -5

Answers

The value of the given expression after simplification is 12.16

Expression:        

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is called an expression or an algebraic expression.

Simplification:

The act of substituting a complex mathematical expression with a simpler counterpart is known as simplification (usually shorter).

Simplifying the given expression i.e.(2)(2.3) + (3.14)(4) - 5

⇒(2)(2.3) + (3.14)(4) - 5

⇒4.6 + 12.56 - 5

⇒17.16 - 5

⇒12.16        

⇒(2)(2.3) + (3.14)(4) - 5 = 12.16

Therefore,The value of the given expression after simplification is 12.16

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Determine whether the sequence is convergent or divergent. If it is convergent, find the limit. (If the quantity diverges, enter DIVERGES.)
an = n^3 − 1/n^3 + 1.
lim an =
n→∞

Answers

It’s convergent. Converges to 1 because the powers are the same

The table to the right shows the volume discounts offered by a​ company, where x is the volume of a purchase in dollars. Assume that the volume discounts in the table apply to the entire purchase. That​ is, if the volume x satisfies $300≤x<$1,000​, the entire purchase is discounted 4%. Answer ​a) and ​b) below.
$300≤x<$1,000
$1,000≤x<$3,000
$3,000≤x<$5,000
$5,000≤x
4%
5%
6%
10%

Volume Discount
(Excluding tax)
Volume($x)
Discount Amount
Question content area bottom
Part 1
​a) If x is the volume of a purchase before the discount is​ applied, write a piecewise definition for the discounted price​ D(x) of this purchase.
D(x)= x if 0≤x<300 enter your response here if 300≤x<1,000 0.95x if 1,000≤x<3,000 enter your response here if 3,000≤x<5,000 0.90x 5,000≤x

Answers

The piecewise function for the discounted price of the purchase is given by:

D(x) = 0.96x, 300≤x<1,000.D(x) = 0.95x, 1,000≤x<3,000.D(x) = 0.94x, 3,000≤x<5,000.D(x) = 0.9x, 5,000≤x.

What is a piecewise function?

A piecewise function is a function that has different definitions, depending on the input.

For $300≤x<$1,000, the discount is of 4%, hence the discounted price is 96% of the original price, that is:

D(x) = 0.96x, 300≤x<1,000

For $1,000≤x<$3,000, the discount is of 5%, hence the discounted price is 95% of the original price, that is:

D(x) = 0.95x, 1,000≤x<3,000.

For $3,000≤x<$5,000, the discount is of 6%, hence the discounted price is 94% of the original price, that is:

D(x) = 0.94x, 3,000≤x<5,000.

For $5,000≤x, the discount is of 10%, hence the discounted price is 90% of the original price, that is:

D(x) = 0.9x, 5,000≤x.

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Translate 12y + 3 into an english expression

Answers

Answer: No hablo english

Step-by-step explanation: Hola como estas

(24÷4 x 3)+5(2)
I need a little bit of help

Answers

Answer: 28

Step-by-step explanation: I am just like that

PEMDAS- Divide first to get 6, then multiple that by 3, to get 18.
Multiple 5 and 2 to get 10
THEN ADD BOTH 18 & 10=
28

7+8-2x3=25 how to make this statement true

Answers

(7 x 8) - (2 x 3) / 2 = 25

- - - - - - - - - - - - - - - - - - - - - - - -

Work below. Enjoy!

- - - - - - - - - - - - - - - - - - - - - - - -

Break up the statement first, and then find the answer.

(7 + 8) - (2 x 3) = 25

15 - 6 = 25

Since it isn't true, try playing around with different functions. I'll spare time and write down my work:

(7 x 8) - (2 x 3) / 2 = 25

56 - 6 /2 = 25

50 / 2 = 25

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck! :)

~pinetreee

What is the product of 4.5 ⋅ 10^5 and 1.6 ⋅ 10^2?

Answers

Answer: 450000, 160

Step-by-step explanation:

4.5 ⋅ 10^5 =

4.5*100000=

4*100000+0.5*100000=

400000+50000=450000

1.6 ⋅ 10^2=

1.6*100=

1*100+0.6*100=

100+60=160

What is the answer of , if n+2=7 then n= what

Answers

Answer: I

think n is 5

Step-by-step explanation:

the answer is n = 5

There are 11 reams of paper in a case. How many total reams of paper are in 23 cases?

Answers

Answer: 253 reams of paper

Hope this helps!

There are 253 in the cases

changes color every 12 seconds Strand 2: changes color every 13 seconds
Both strands just changed color. After how many seconds will the strands change color at the same time again?

The strands will change color at the same time again after
seconds.

Answers

After 156 seconds the strands will change color at the same time again.

As strand 1 changes color every 12 seconds and Strand 2 .changes color every 13 seconds. we are provided that both strands just changed color and we need to find that After how many seconds will the strands change color at the same time again

To know After how many seconds will the strands change color at the same time again we need to find the least common multiple (LCM) of 12 second and thirteen seconds

The factors of 12 = 2*2*3

The factors of 13 = 1 *13

LCM =2 * 2* 3*13 = 156

Hence, After 156 seconds the strands will change color at the same time again

Correct question is Strand 1 changes color every 12 seconds Strand 2: changes color every 13 seconds . Both strands just changed color. After how many seconds will the strands change color at the same time again?

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For any two integers a and b, (a - b) squared = a squared - b squared.
^^^^
Determine if the conjecture is true or false.
If False give a counterexample.

Answers

a = 1, b = 2 is a counterexample, and with that, we conclude that the conjecture is false.

Is the conjecture true or false?

Here we have the conjecture:

"For any two integers a and b, (a - b)^2 = (a^2 - b^2)"

Notice that if we find a single pair of integers a and b such that the equality in the conjecture is false, then we have found a counterexample and that is enough to conclude that the conjecture is false.

If we define=

a = 1

b = 2

Replacing that in the equation of the conjecture we get:

(1 - 2)^2 = (1^2 - 2^2)

(-1)^2 = 1 - 4

1 = -3

This is false, then a = 1, b = 2 is a counterexample, and with that we conclude that the conjecture is false.

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Answer if you know your right, bur dont answer just for the points

Answers

Answer:

2/11 = 0.18

22% = 0.22

1.42 = 1.42

That leaves the answers down to B and C.

B has a lesser hundredths place than 0.18.C is greater than 0.18 in the tenths place, making it bigger.

Thus, the answer is C, 22%.

Answer:

C

Step-by-step explanation:

2/11 = 0.18181

22% = 0.22

1.42

Kelly worked on a straight 9% commission. Her friend worked on a salary of $850 plus a 6% commission. In a particular month, they both sold $21,100 worth of merchandise.
How much did her friend earn for the same month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

Answers

Answer:

$1260

Step-by-step explanation:

Step 1: Read and analyze the problem

In this problem, you are asked to find out how much her friend earned in the same month. You are given information about their commission rates and the total amount of merchandise they sold.

Step 2: Identify the known values and the unknown value

The known values in this problem are the commission rates and the total amount of merchandise sold. The unknown value is the amount her friend earned in the same month.

Step 3: Create an equation or system of equations

You can create an equation to solve for the unknown value using the information given in the problem.

Step 4: Solve the equation or system of equations

If you solve the equation, you will find that her friend earned $1,260 in the same month.

Hope this helps! Please mark me brainliest

Answer:1260

Step-by-step explanation:

4 rounded to the nearest place

Answers

It’s is 0 if rounded to the nearest tenth place
i think 0 is the answer

Math question please help ASAP

Answers

Please check the image attached aside to see the representation of the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.

What is the graphic representation of a system formed by two inequalities

In this question we have a system formed by two inequalities represented by linear expressions in implicit form. Now we proceed to rewritte the system into explicit form:

y ≥ (200 - 4 · x) / 6                  (1)

y < 75 - x                                 (2)

Then, the solution set of the point is represented by an area below the function (2) and equal and greater to the function (1). Finally, we proceed to graph the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.

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Someone help with this fast!

Answers

2x+40=60
2x=20
x=10
Answer:10

Explain how to find the constant of proportionality for the ratio of robins to cardinals.


Not really sure how this works!! Thank you for all help

Answers

The constant of proportionality is 3 for the ratio of robins to cardinals.

We have a table:

Cardinals        Robins

5                      15

6                      18

9                       27

10                      30

We need to find the constant of proportionality.

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

We know that:

Robins ∝ Cardinals

Robins = K × Cardinals

K = the constant of proportionality

15 = k (5)

k = 3

So, we get the constant of proportionality as 3.

Therefore, the constant of proportionality is 3 for the ratio of robins to cardinals.

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Your question was incomplete. Please refer the content below:

Explain how to find the constant of proportionality for the ratio of robins to cardinals.

A 2-column table with 4 rows. Column1 is labeled Cardinals with entries 5, 6, 9, 10. Column 2 is labeled Robins with entries 15, 18, 27, 30.

Alex wrote checks on Tuesday for $35 and $45. He also made a
deposit in his checking account of $180. Find the overall change in
the amount in his checking account.
Step 1: Analyze Information
Step 2: Formulate a Plan
Step 3: Solve
Step 4: Justify and Evaluate
1
Write answer for step 2 here.
*||«
r notes

Answers

Answer: here is ur answer

He would have $100 in his bank account from the information provided

Step-by-step explanation:i really hope this helps please lmk if i am wrong have a good day/night (:

which of the following indicates the division property of equality when solving -12x = 48​

Answers

From division it is possible to find x= -4.

Linear Function

An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for [tex]a=\frac{\Delta y}{\Delta x}[/tex] .

b= the constant term that represents the y-intercept.

For the given example: a=7 and b=2.

For solving  linear equations, you should organize variables on one side of the equation and the numbers on the other side. When a number or variables change side, its signal also is changed.

Therefore for -12x=48, you should follow the steps below

-12x=48

x=48/ (-12)

x= -4

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Write the quadratic equation whose roots are -5 and 3, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)

Answers

Answer: (x-3)(x-5) = x2 - 8x + 15

The roots will be unchanged by multiplication by 3: 3x2 - 24x + 45

Step-by-step explanation:

Answer:

y = 3x² + 6x - 45

Step-by-step explanation:

given roots x = a and x = b then the factors are (x - a) and (x - b)

then the quadratic is the product of its factors

y = a(x - a)(x - b) ← a is a multiplier

here x = - 5 and x = 3 with a = 3 , then factors are

(x - (- 5)) and (x - 3) , that is (x + 5) and (x - 3) , then

y = 3(x - 3)(x + 5) ← expand factors using FOIL

y = 3(x² + 2x - 15) ← distribute parenthesis by 3

y = 3x² + 6x - 45

Evaluate the function

f(x) = 3x^2 + 4x + 19

Find f(-7)

Answers

Answer:

Step-by-step explanation:

3

x

2

+

4

x

+

19

f

(

x

)

=

0

how to solve 10x+25(x-2)=335

Answers

Answer:

x = 11 ,

Step-by-step explanation:

isolate the variable by diving each side by factors that don’t contain the variable

Which numbers have a digit in the ones place that is 1/10 the value of the digit in the tens place? select all that apply
a. 6,044.7
b 6,339.99
c. 8,101.13
d. 8,066.51
e. 9,777.1​

Answers

The numbers that have a digit in the ones place that is 1/10 the value of the digit in the tens place is 6,044.7 , 9,777.1 and 8,101.13

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs. The precise position of a number within a series is assigned a value by a place-value system.

Given that we have to choose the number having a digit in the one place that is 1/10 the value of the digit in the tens place.

The numbers are 6,044.7 , 9,777.1 and 8,101.13  in which a digit in one place has a value that is 1/10 that of a digit in the tens place.

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How many significant figures does 163 have?

Answers

Answer:

3

Step-by-step explanation:

The Significant Figures are 1_6_3

Hope it helps! :)

3 is the answer. Let me know if you need more help
Other Questions
Help pls its due today and im not smart i did some of it. POETRY ANALYSIS PARAGRAPHGoal: Demonstrate your analysis and writing ability through a well edited paragraph. Choose one of the Maya Angelou poems. Clearly show through your writing how two literary devices lead to the theme of the poem. Topic sentence: In the poem The human family by Maya Angelou, the author uses literature and rhyme to show the reader the theme of Were different but still human. Introduce Device #1: 2-3 sentences of analysis about 1 of your devices (personification, alliteration, metaphor, simile, title, repetition, rhyme) Evidence for Device #1: A QUOTE that supports your ideas for device #1 within those 2-3 sentencesExplain how this device leads to the themeIntroduce Device #2: 2-3 sentences of analysis about a different device (personification, alliteration, metaphor, simile, title, repetition, rhyme) Evidence for Device #2: A QUOTE that supports your ideas for device #2 within those 2-3 sentencesExplain how this device leads to the themeClosure: Show the reader how these two devices helped you to understand the theme that you chose. Find the midpoint of line segment AB, given:A(-7, 4) and B((3,-4) we investigated a jet landing on an aircraft carrier. in a later maneuver, the jet comes in for a landing on solid ground with a speed of 87 m/s, and its acceleration can have a maximum magnitude of 8.55 m/s2 as it comes to rest. (a) from the instant the jet touches the runway, what is the minimum time interval needed before it can come to rest? (b) can this jet land on a small tropical island airport where the runway is 0.800 km long? (c) explain your answer. what are waiting periods in health insurance True or False. You should use lower gears in the transmission along with service brakes to descend asteep road grade.Select one:True False a mixture consisting of 1 mol of h2o(g) and 1 mol co(g) is placed in a 5 l reaction vessel at 800 k. at equilibrium, 0.411 mol co2(g) is present as a result of the reaction co(g) h2o(g) co2(g) h2(g). what is kc at 800 k? Suppose that tomato producers expect prices to fall in the future. this will likely cause current? 12. A colony of rabbits in the wild found that the colony doubles in populationevery year. At first there were 10 rabbits. After how many years will therebe more than 160 rabbits? 4. What is the frequency of light that has a wavelength of 4.25 x 10^-8 m? 3 to the power of -2 is equivalent to _____.i need help ASAP (i will give brainliest) bob said he .... a lot of good marks that semester The four icm scenarios help cvs strategists craft strategies that reflect the _____________ and pace of change unfolding within the healthcare industry. ilemleriyle zer misiniz? Mr. Johns is using a high-clearance sprayer with two 30-foot booms. It will spray a 60-foot-wide strip. He sprayed a960-foot-wide wheat field for weeds. a. How many feet from the edge should he start?b. How many round trips are needed to cover the field? What expressions are equivalent to 4d+6+2d4d+6+2d4, d, plus, 6, plus, 2, d ? multi-tenancy occurs when each customer or tenant must purchase and maintain an individual system. group startstrue or falsetrue, unselectedfalse Current market prices reflect all relevant publicly available information. this statement is consistent with:_____.a. strong form efficiency b. semistrong form efficiency c. weak form efficiency Read the excerpt from Pride and Prejudice by Jane Austen.Mr. Darcy danced only once with Mrs. Hurst and once with Miss Bingley, declined being introduced to any other lady, and spent the rest of the evening in walking about the room, speaking occasionally to one of his own party. His character was decided. He was the proudest, most disagreeable man in the world, and every body hoped that he would never come there again.Which statement best explains Austens use of hyperbole in the excerpt?It highlights the rudeness of Mr. Darcys behavior and creates an indignant mood. It highlights the ridiculousness of everyones reaction and creates a humorous mood.It emphasizes a possible source of conflict with Mr. Darcy and creates an anxious mood.It emphasizes the sensitivity of everyones feelings and creates a sympathetic mood. A teacher has $230 in a bank account to spend on school supplies and wins an additional $50 to put toward the school supplies. The teacher spends $120 on binders for students and wants to buy the classroom a new $180 tablet. Why are phytoplankton, and not benthic algae or rooted aquatic plants, the dominant photosynthetic organisms of the oceanic pelagic zone? (See Figure 52.14 .)