To find 15, Beau found 32 = 9 and 4 = 16. He said that since 15 is between 9 and 16,15 must be between 3 and 4. He thinks a good estimate for 15 is 3+4 = 3.5. Is Beau's estimate high, low, or correct? Explain.
Answers
Answer:
Answer: His estimate was low
Step-by-step explanation:
It's true that √16 is 4 and that √9 is 3
for √15 :
[tex] \sqrt{15} = 3.9[/tex]
It's true that √15 lies between 3 and 4
[tex] \sqrt{15} : 3 < x < 4[/tex]
Estimated answer :
[tex] = 3.5[/tex]
Exact answer :
[tex] = 3.9[/tex]
Therefore, the error:
[tex] \delta x = 3.9 - 3.5 \\ \\ = 0.4[/tex]
Since error is less than 0.5, his estimation was moderate, [ low ]
Related Questions
If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that
it is a type of active transport.
it is a type of passive transport.
it could be active or passive transport.
Answers
- option A
If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that
it is a type of active transport.
What do pinocytosis and phagocytosis have in common?
They are both forms of endocytosis.
P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.
Answers
If the points P, Q, V and K are collinear, they will follow the segment addition postulate.
Measure of segment VP will be 214 units.
It's given in the question,
P, Q, V and K are collinear.VP = 14x + 4PK = x + 630VQ = 17x + 6KQ = 11x + 5By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = [tex]\frac{615}{41}[/tex]
x = 15
Therefore, measure of VP = (14x + 4)
= 14(15) + 4
= 214 units
Measure of segment VP will be 214 units.
Learn more,
https://brainly.com/question/628239
You withdraw $40 each month from your savings account. what integer represents the change in your balance after 4 months?
Answers
Answer:
The balance would be $160 from whatever it was before the 4 months.
Step-by-step explanation:
Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.
So if the balance before was $40, then the new balance after 4 months would be $200.
If there's no money previously, then there is now $160 after 4 months.
If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.
E
Initial Knowledge Check
Question
Find the surface area of a cylinder with a height of 5 m and a base radius of 3 m.
Use the value 3.14 for it, and do not do any rounding.
Be sure to include the correct unit.
5 m
Í
3 m
1
Answers
How do you find the GCF of each?
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For the coefficients, take the smaller number (so 30 in the exercise #12) and find all the numbers that divide into 30:
1, 2, 3, 5, 6, 10, 15, 30
Then start with the largest of those and see which is the first to divide into 66.
30 does not divide evenly into 66.
15 does not divide evenly into 66.
10 does not divide evenly into 66.
6 does. You’ll use 6.
For the x’s, consider how many x’s each expression has.
66yx has 1 x
30x^2y has 2 x’s.
The greatest number they all have is 1 x.
For the y’s, do the same thing:
66xy has 1 y.
30x^2y has 1 y.
They both have 1 y in common.
So the greatest things they all have in common are 6xy. That’s your GCF.
Two complex numbers are given, where m, n, p, and q are real numbers.
m+ni
p+qi
For what relationship among m, n, p, and q, will be the product of these two complex numbers have only an imaginary part?
This is Algebra 2.
Answer choices:
np mq
mp-np=0
mp+nq=-1
Answers
Answer:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
Step-by-step explanation:
We are given two complex numbers:
[tex]\displaystyle m + ni \text{ and } p + qi[/tex]
Where m, n, p, and q are real numbers.
And we want to determine the relationship among m, n, p, and q such that the product of the two complex numbers will only have an imaginary part.
Find the product:
[tex]\displaystyle \begin{aligned} (m+ni)(p+qi) &= p(m+ni) + qi(m+ni) \\ &= (pm + pni) + (qmi + qni^2) \\ &= (pm + pni) + (qmi - qn) \\ &= (pm - qn) + i(pn + qm) \end{aligned}[/tex]
Therefore, for the product to have only an imaginary part, the real part must be zero and the imaginary part must not be zero. That is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
In conclusion, the relationship between m, n, p, and q is:
[tex]\displaystyle pm - qn = 0\text{ and } pn + qm \neq 0[/tex]
Or:
[tex]pm = qn \text{ and } pn + qm \neq 0[/tex]
(Note: I couldn't understand the provided answer choices, but the above answer is indeed correct (and the second equation can be ignored).)
Subtraction with Real Numbers (I need the equation on how to solve the answer)
-3-(-8)=
Answers
Answer:
5Step-by-step explanation:
Given:
- 3 - (- 8)Remember two subsequent negatives turn to positive:
- 3 + 8 = 8 - 3 = 5Answer:
5
Step-by-step explanation:
[tex] - 3 - ( - 8)[/tex]
Remove the parentheses:
[tex] - 3 + 8[/tex]
= 5
If 3x = y -5 and x = 4, then y =
Answers
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
Part E
Now check your work by using the GeoGebra geometry tool to repeat parts A through D. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra. You will take a screenshot of your work when you are through, so be sure to clearly label your construction as you work.
Plot points A, B, and C, and draw a polygon, ΔABC, through the points.
Draw a line perpendicular to AC¯ through point B.
Label the intersection of the line perpendicular to AC¯ through B and AC↔ point D.
Measure and display the slopes of AC↔ and BD↔.
Display the equations of AC↔ and BD↔ in the Algebra margin.
Measure and display the lengths of AC¯ and BD¯.
Calculate and display the area of ΔABC.
Take a screenshot showing the geometric construction and the Algebra margin, save it, and insert the image in the space below.
Part F
Compare the calculations displayed in GeoGebra with the calculations you completed in parts A through D. Look in the Algebra margin too. Do the results in GeoGebra match the results you obtained earlier? If not, where do the discrepancies occur? You might have to rearrange equations algebraically to determine whether two equations match.
Part G
You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?
Answers
Answer:Hopefully this is how you do it sorry if i am wrong
Step-by-step explanation:
x=-4 +6+ (11 +4(-3))
Answers
Answer:
x=1
Step-by-step explanation:
x = -4 + 6 + (11 + 4(-3)).
First get the numbers in the parentheses
x = -4 + 6 + (11 - 12)
Since 11 - 12 = -1. We can replace (11-12) with -1
x = -4 + 6 -1
Now add and subtract
x = 1
Plss tell me guy's plssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
According to my equation it's 20°
-3x=-60
X=20
So the angle is 40
Julie is arranging pictures in a photo album one time she arranges them into six on each page she rearrange them with eight on each page what is the least number of photos Julie could have put in her album
Answers
Answer:
Step-by-step explanation:
Pls help I’m really confused on this last question
Answers
Answer:
i cant really see that bruv
Step-by-step explanation:
goodluck tho <3
Answer:
cant see it either but good luck, i tried to read it
Step-by-step explanation:
b+6/4 when b=1.5???????????????????????
Answers
Answer:
3
Step-by-step explanation:
Compare the Numbers in each exercise using an inequality symbol
Answers
5 2/3 is approximately 5.66
√29 is approximately 5.385
please helpppppp!!!!!!!!!
Answers
Answer:
64w^2
Step-by-step explanation:
Because 8w is in parentheses, you must apply the exponent to both the 8 and w.
So, it becomes (8*8)(x*x) which equals (64)(x^2).
Which then gives you your final answer, 64x^2.
4q verbal expression
Answers
Answer:
sum of two terms. So, the verbal expression 15 plus r can be used to describe the algebraic expression 15 + r
Step-by-step explanation:
Jim and Em baked 33 macaroons.
Jim baked 5 more macaroons than Em. How manymacaroons did Jim bake?
Answers
Answer: 19 macaroons
Step-by-step explanation:
Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.
33=x+x+5
33=2x+5
33-5=2x+5-5
28=2x
28/2=2x/2
14=x
This means that Em made 14 macaroons.
14+5=19
Therefore, Jim baked 19 macaroons.
If a=b+7 and b+7=9, then a=9
Answers
Answer:
a = 9
b = 2
Step-by-step explanation:
Given : a = 9
a = b + 7
9 = b + 7
b = 9 - 7 = 2
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
Answers
Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
Answer this problem…..
Answers
Answer:
[tex]-13\frac{5}{7} x[/tex] or [tex]-\frac{96x}{7}[/tex]
Step-by-step explanation:
Equation : 12v + 10v + 14 = 80
What is v equaled to?
Answers
Answer:
this can be simplified
12v + 10v + 14 = 80
22v + 14 = 80
22v = 66
v = 3
Answer:
v = 3
Step-by-step explanation:
12v + 10v = 22v
22v + 14 = 80
Subtract 14 from both sides.
80 - 14 = 66
22v = 66
now divide both sides by 22
66/22 = 3
v = 3
Judging by appearance, name an acute angle, an obtuse angle, and a right angle.
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Answer:
Step-by-step explanation:
IF U HELP ME I WILL MARK U BRAINLIEST
Answers
Answer- -4
[ 6 × 2 + 2 - [ -6 ] ] [ -5 + | [ - 18 ÷ 6 ]|]
Answers
Answer:
-300
Step-by-step explanation:
[ 6 × 2 + 2 - [ -6 ] ] [ -5 + | [ - 18 ÷ 6 ]|]
[ 12 + 2 - [ -6 ] ] [ -5 + | [ - 3 ]|]
[ 12 + 2 - [ -6 ] ] [ -5 + 3]
[ 12 + 2 + 6 ] [ -5 + 3]
(20)(-15)
-300
Help me on this math questionnn
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SOMEONE HELP??????!!!!!!!
Answers
Answer: a = 300, b = b = 50.24
Step-by-step explanation:
pls answer with steps <3
Answers
Answer:
Step-by-step explanation:
Point B is the midpoint of AC. AB=3x and AC=5x+21 . What is the value of AB?
Answers
First, let's write down what we know.
AB = 3x
AC = 5x+21
Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.
AB + AB = AC
Let's plug in our values.
3x + 3x = 5x + 21
Simplify the left side.
6x = 5x + 21
Subtract 5x from both sides.
x = 21
Now, let's plug in 21 for x in AB
AB = 3x = 3(21) = 63
A, B and E are non-collinear O True O False
Answers
Answer:
it would be false
Step-by-step explanation:
