Estimate the following square and cube roots by using the above process. Circle
any Rational Roots.
Please help❗️❗️❗️❗️❗️
Answers
The estimates of the square roots and cube roots using the attached process are;
1) √15 = 3.81
2) √44 = 6.6.
3) √81 = 9
4) ∛12 = 2.88.
5) ∛125 = 5
6) ∛320 = 6..8
The process we are to follow is shown in the attachment. The first thing we are to do is to list all the perfect squares from 1 to 100 and then do the same for all perfect cubes from 1 to 1000.Perfect squares from 1 to 100; 4, 9, 16, 25, 36, 49, 64, 81, 100
Perfect cubes from 1 to 1000; 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.
1) √15;
The nearest perfect squares to it are; 9 and 16
Thus; √9 < √15 < √16
⇒ 3 < √15 < 4
This means that √15 is between 3 and 4.
Since 15 is closer to 16 than 9, it means √15 is closer to 4 and thus, we can estimate √15 as 3.81.
2) √44;
The nearest perfect squares to it are; 36 and 49
Thus; √36 < √44 < √49
⇒ 6 < √44 < 7
This means that √44 is between 6 and 7.
Since 44 is closer to 16 than 9, it means √44 is closer to 6 and thus, we can estimate √44 as 6.6.
3) √81
This is a perfect square and the method used to estimate other non-perfect square doesn't apply here. Thus; √81 = 9
4) ∛12
The nearest perfect cubes to it are; 8 and 27
Thus; ∛8 < ∛12 < ∛27
⇒ 2 < ∛12 < 3
This means that √12 is between 2 and 3.
Since 12 is closer to 8 than 27, it means ∛12 is closer to 2 than 3 and thus, we can estimate ∛12 as 2.88.
5) ∛125
This is a perfect cube and the method used to estimate other non-perfect cubes doesn't apply here. Thus; ∛125 = 5
6) ∛320
The nearest perfect cubes to it are; 216 and 343
Thus; ∛216 < ∛320 < ∛343
⇒ 6 < ∛320 < 7
This means that ∛320 is between 6 and 7.
Since 320 is closer to 343 than 216, it means ∛320 is closer to 7 than 6 and thus, we can estimate ∛320 as 6..8
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Related Questions
I need help with this, please.
Red oak trees grow at a rate of about 2 feet per year. You buy and plant two red oak trees, one that is 6 feet tall and one that is 8 feet tall. The height h (in feet) of the shorter tree can be modeled by h=2t+6 where t is the time (in years) since you planted the tree. The height of the taller tree can be modeled by h=2t+8.
A. Graph both equations in the same coordinate plane.
B. Use the graphs to find the difference of the heights of the trees 5 years after you plant them. What is the difference after 10 years? What do you notice about the difference if the heights of the two trees?
Answers
Answer:
A: I think it's A because you need to graph both equations
Answer:
These are the screenshots of the work I did and more of the actual answer for graphing but basically,
The difference in heights of the trees after 5 years is 2 feet, after 10 years is 2 feet, and after any number of years is 2 feet since the lines are parallel.
What is the interquartile range (IQR) of the data set represented by this box
plot?
38
45
50
68
75
Answers
Answer: The answer is 23
Step-by-step explanation: The answer i got correct on site
x ( 2y + 3 ) - 5xy + 7x
Answers
Answer:
Use the given functions to set up and simplify (2y+3)−5xy+7x
x =
(2y+3)−5xy+7x=−5xy+7x+2y+3
Which factors would historical criticism most likely take into account? Check all that apply.
beliefs that were common during the period the text was written
the suspenseful tone of the text
whether the text is popular with today’s readers
major political events that occurred when the text was written
the original audience for the text
Answers
Historical criticism tries to dig into the background of a context or event, Hence, it will most likely take cognizance of the following :
Major political events that occurred when the text was written Beliefs that were common when the text was written Original audience of the text.In other to have a good grasp of the underlying facts and theories about a certain topic or context, it is important to have a good knowledge of the background into other not to misconceive the details and hence, give a constructive criticism.
The original text ensures that one isn't taken information from a pirated or biased source. Cultural belief, values, political inclination and religion are some of the key factors which should be understood in other to grasp the principle or idea of a particular group or setting.Therefore, political events, Belief and original text are key in performing historical criticism.
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Answer:
The second one
Step-by-step explanation:
please help me
no random links pls
Answers
Let the measures in degrees of the three angles of a triangle be x y and z. If y equals 2z and z equals 0.5x-30 then what is the measure in degrees of the largest angle in the triangle
Answers
Answer:
108 degrees
Step-by-step explanation:
Remember that the sum of the internal angles of a triangle = 180 degrees
what is the eleventh term of an arithmetic sequence in which a1=3 and d=6
helppp
Answers
Answer:
-25
Step-by-step explanation:
Using formula for nth term,
a11=a+10d.
Herea is −3 and d is −2, hence
a11=−3+10(−2)=−25
The deer population is estimated to be 17,600 in northern
Illinois, but an actual count was 21,300. What is the percent
error?
Answers
The percentage error in the deer population is 17%
Actual population = 21300
Estimated population = 17600
The percentage error will be calculated by subtracting the estimated population from the actual population and then dividing the result. This will be:
= (Actual population - Estimated population) / Actual population × 100
= (21300 - 17600) / 21300 × 100
= 3700/21300 × 100
= 0.17 × 100
= 17%
Therefore, the percentage error in the deer population is 17%
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Please help provide the product in standard form !!
Answers
Answer:
x^3+4x^2+5x+2
Step-by-step explanation:
Which is the equation of the line, in point-slope form, that has a slope of 2 and
passes through the point (4, -7)?
y+7= 2(x-4)
y-7 = 2(x+4)
x-7 = 2(x-4)
y-4 = 2(x+7)
Answers
Answer: y+7 = 2(x-4)
Step-by-step explanation: Point slope form is y − y1 = m(x − x1), where m is the slope and (x1,y1) is one known point on the line. We are told that m= 2 and (4,-7). Therefore:
(y − (-7)) = 2(x − (4))
y+7 = 2(x-4)
What is the value of u + 4v – w, if u = 10, v = 4, and w = 6?
Answers
Answer: 20
Step-by-step explanation:
u + 4v - w
10 + 4(4) - 6
10 + 16 - 6
26 - 6
20
Round each decimal to the given place value 1.25 - rounded
to the nearest tenth:
2.784 - rounded to the nearest
hundredth:
help me
Answers
Answer:
see below
Step-by-step explanation:
1.25 rounded to the nearest tenth : 1.3
2.784 rounded to the nearest hundredth : 2.78
PLSSS CN SOMEONE HELP PLSSSS
Answers
Answer:
36 percent
Step-by-step explanation:
BRAINLIST!!!! SHOW YOUR WORK!!!!
In the above figure, m∠P = 130° and m∠Q = (5x)°. If angles P and Q are supplementary angles, what are the value of x and the measure of angle Q?
A.
x = 62, m∠Q = 50°
B.
x = 44, m∠Q = 220°
C.
x = 10, m∠Q = 50°
D.
x = 10, m∠Q = 15°
Answers
Answer:
C x = 10 Q = 50
Step-by-step explanation:
supplemantary means adds to 180 deg.
so 130 + 5x = 180
5x = 50 = ang. Q
x = 50/5 = 10 deg.
find the measure of each angle plz do 15 and 16
Answers
Answer:
15) 55°
16) 90°
Step-by-step explanation:
15)
55° + 75° + x = 180°
x = 50°
___
50° + 60° + x = 180°
x = 70°
__
70° + 55° + ? = 180°
? = 55°
______________________________
16)
55° + 90° + x = 180°
x = 35°
__
35° + x = 90°
x = 55°
___
55° + 35° + ? = 180°
? = 90°
work out the value of x. 3x? x?
Answers
Answer:
x = 67.5
Step-by-step explanation:
Exterior angles always add up to 360 degrees. We have a defined right angle which takes 90 off of our 360, giving us 270 degrees. If we have x as an individual angle and also as x 3 times, then x is appearing 4 times. To find x, we divide our 270 degrees by 4 to get 67.5 . We can check this using a reversive property by multiplying 67.5 by 4 and then adding 90.
360 - 90 = 270
270 / 4 = 67.5
67.5 = x
4 raise to power 1over6 x 4 raised to power 1 over3
Answers
Answer:
32
Step-by-step explanation:Reduce the expression, if possible, by cancelling the common factors.
please answer soon! and make sure to explain the steps!!
Answers
Answer:
15
Step-by-step explanation:
140x(3/4)=105 went to sport club
105x(1/7)=15 went to sport club and art club
What is the remainder R?
Answers
What is remainder R when the polynomial p(x) is divided by (2x - 1)? is (2x - 1) factor of p(x)?
p(x) = 2x² + 3x + 1
Answer :
R = 3
and (2x - 1) not factor of p(x) because, if (2x - 1) factor of p(x) remainder R when the polynomial p(x) divided by (2x - 1) is R = 0
∴ so the answer is option A
Step by step explanation :« Attached »
PLEASE ANSWER THIS thank you
Answers
Answer:
the first first one is it can be written as a fraction this is the decimel that doesn't repeat nor terminates
Andre Drew a plan of a courtyard at a scale of 1 to 60 on his drawing one side of the car Courtyard Is 75 inches. If I Andre Made another courtyard scale drawing is a scale of 1 to 12 what destroying be smaller or larger than the first the drawing
Answers
Answer: hey girl hal is north west west of north west west north west of north north
Step-by-step explanation:
In a scale drawing, 1 12 inches represents 12 miles. How many inches would you need to
represent 15 miles?
Please need this soon
Answers
—> first find how many inches are in a mile then find how many feet are in 15 miles. You need to find how many inches are in 15 miles also. Then do F•15•inches
Answer = 950400 inches in 15 miles :) hope this helps!
1. Obtén la pendiente de las siguientes rectas, grafícalas y determina si las rectas L1 y L2, cuyas ecuaciones son 3x+4y-2=0 y 3x+4y+6=0, son paralelas o no.
Answers
Queremos obtener la pendiente de dos lineas dadas, y en base a eso, determinar si son paralelas o no.
Las pendientes son para ambas lineas igual a -3/4, como ambas lineas tienen la misma pendiente y diferente ordenada al origen, podemos concluir que son paralelas.
-----------------------------
Una línea en general se escribe como:
y = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
En este problema se nos dan las líneas:
3*x + 4*y - 2 = 0
3*x + 4*y + 6 = 0
Comencemos por reescribir esas líneas en la forma más general, para hacer esto, debemos aislar y en ambas ecuaciones:
y = (-3/4)*x + 2/4
y = (-3/4) - (6/4)
Aqui podemos ver que ambas pendientes son iguales a -3/4
Al final de la respuesta puedes ver el gráfico de ambas líneas.
Como ambas líneas tienen la misma pendiente, pero distintas ordenadas al origen, podemos concluir que son paralelas.
Esto mismo se puede observar en el gráfico de abajo.
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One way to build stairs is to attach triangular blocks to an angled support, as shown at the right. If the support makes a 32° angle with the floor, what must mâ 1 be so the step will be parallel to the floor? The sides of the angled support are parallel. *
Answers
Step-by-step explanation:
Since we have given that
The angled support making angle with the floor = 32°
So, we need to find the measure of angle 1 so that the steps are parallel to the floor.
As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."
So, m∠1 = 32° ( the angled support making angle with the floor)
Hence, m∠1 = 32°
f(x) =2x+1 g(x)= x^2 -7 find (f+g)(x)
need help like asap
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find (f + g)(x) :
[tex]2x + 1 + {x}^{2} - 7[/tex][tex] {x}^{2} + 2x - 6[/tex]Answer:
[tex]f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}[/tex]
(f+g)(x) = x²+2x-6 is the right answer.help me again and agiain
Answers
Answer:
7261.92
Step-by-step explanation:
Product means you mutilpy them together
Answer:
7261.92
Step-by-step explanation:
Hope this helps!
5. Rewrite the quadratic funtion from standard form to vertex form.
Ax) = 2x2 + 8x + 70
Answers
Answer:
[tex]y = 2 {(x + 2)}^{2} + 62[/tex]
Step-by-step explanation:
vertex form is
[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]
our original equation
[tex]2 {x}^{2} + 8x + 70[/tex]
first we will find the x value using the formula
[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]
plug the value of x back into the original equation to solve for y
[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]
substitute this back into our vertex form and not forgetting the coefficient a = 2
[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]
Simplify the expression.
9m−7m+2m
Answers
Answer:
4m
Step-by-step explanation:
First subtract:
9m-7m=2m
Then add:
2m+2m= 4m
Hope this helps!
Pls mark brainliest if correct:)
If B is the midpoint of AC and AC = 40, what is the measure of BC?
BC =
Answers
Answer:
BC = 20
Step-by-step explanation:
Since B is the midpoint of AC , then
AB = BC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 40 = 20
Cat food costs $2.85 for five cans. Ben only wants to buy one can. How much will it cost?
Answers
Answer:
$0.57 for each can of cat food
Step-by-step explanation:
2.85/5 = 0.57 giving you the answer
Answer:
it would cost 0.57 cents!
Explanation:
you'd have to divide 2.85 by 5, because if it is that much for 5 cans, and he only wants to buy 1, you'd divide it by 5, to get 0.57 :)