Answer:
b
Step-by-step explanation:
45.72*60.95 =2786.634, which means that the solution is reasonable.
in b, they used the method of estimation which is a quick method to check if the answer is right.
d doesnt make sense as the decimal places do not have to remain the same number after u multiply them, moreover there's only 2 dp in the factors
ABCD is rectangle with diagonals AC and BD meeting at point O. Find x if OA = 5x-7 and OD=4x-5
Use the function below to find f(3).
f(x) = 3.4^x
Step-by-step explanation:
Hey there!
[tex]f(x) = 3. {4}^{x} [/tex]
Then;
[tex]f(3) = 3. {4}^{3} [/tex]
[tex]f(3) = 192[/tex]
Therefore, f(3) = 192.
Hope it helps!
Question 8 of 10
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x).
A. 4X2 + 1
B. 4x2 + 4x2
C. 4(x+1)
D. 4x(x)
SURVIT
Answer:
option c is the answer for your question
If DF =61 and EF = 18 find DE
Answer: DE = 79
Concept:
Here, we need to know the idea of segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
**Disclaimer** I assume that points D, E, F are collinear, thus they would form a segment and F would be the point between D and E. If it was, you may refer to my answers. If it was not, you may tell me and I will redo it.
Given information
DF = 61
EF = 18
Given expression deducted from the segment addition postulate
DE = DF + EF
Substitute values into the expression
DE = (61) + (18)
Simplify by addition
[tex]\boxed{DE=79}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
if a stone is dropped from a cliff that is 122.5m high then its height in meters after t seconds is h=122.5-4.9t^2. find its velocity after 2s
Answer:
Step-by-step explanation:
Let t = 2
h = 122.5 - 4.9·2² = 122.5-19.6 = 102.9
If ‘BOXES’ is OBXSE, then BOARD is
9514 1404 393
Answer:
OBADR
Step-by-step explanation:
The first two letters are swapped, and the last two letters are swapped.
BOARD . . . becomes
OBADR
Use the Pythagorean theorem to find the missing lengths in the diagram below.
Answer:
anser b
Step-by-step explanation:
i had it
Answer:
x = √74
y = √17
Answered by GAUTHMATH
Tom and Harry are racing go-carts.Tom takes 2mins 8seconds to complete a lap while Harry takes 2minutes to complete a lap.They both start from the start line at the same time.when will they next cross the start line together? show all the workings.
9514 1404 393
Answer:
after 32 minutes
Step-by-step explanation:
They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.
The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...
LCM(120, 128) = 120×128/GCD(120, 128)
LCM = 120×128/8 = 1920 . . . . . seconds
Converting this to minutes, we get ...
(1920 s)/(60 s/min) = 32 min
They will next cross the start line together after 32 minutes.
Determine the value of X. Please explain the answer
We have two lines from the same point.
These two lines are also tangents to same circle which implies that they are of the same length.
That is 2x - 1 = 9
2x = 9 +1 = 10
x =10/2
x = 5
Complete the remainder
Answer:
-14 is the answer for the second term (?)
26) What is the perimeter of a rectangle whose
lengths are 9x + 5 and widths are 7x + 2?
Answer:
32х+14
Step-by-step explanation:
[tex]2(9x + 5 + 7x + 2) \\ 18x + 10 + 14x + 4 \\ 32x + 14[/tex]
Answer:
32x + 14
Step-by-step explanation:
The opposite sides of a rectangle are equal, so
perimeter = 2(9x + 5) + 2(7x + 2) ← distribute parenthesis
= 18x + 10 + 14x + 4 ← collect like terms
= 32x + 14
If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two years
Answer:
Solution given;
principal [P]=$125,000
depreciated rate[R]=7.5%
time[t]=2 years
worth price of house [A]=???
we have
Worth price[A]=[tex]\large \bold P(1-\frac{R}{100})^{t}[/tex]
=[tex]125,000(1-\frac{7.5}{100})^{2}[/tex]
=125,000*0.925²
=125,000*0.855625
=106953.125
its worth price is $106953.125Amy works 40 hours a week and gets paid 15.50 an hour. Tom works 40 hours a week and gets paid 10 an hour. How much does Amy earn per week? How much does Tom get pay for week?
9514 1404 393
Answer:
Amy: $620
Tom: $400
Step-by-step explanation:
The pay for 40 hours (1 week) is 40 times the pay for 1 hour:
Amy: 40 × $15.50 = $620 . . . . Amy's pay for 1 week
Tom: 40 × $10.00 = $400 . . . . Tom's pay for 1 week
Does the graph represent a function and if so, why?
A) Yes, there is more than one ordered pair in this list.
B) Yes, no two sets of ordered pairs occupy the same location.
C) No, some of the ordered pairs in this list have the same second element.
D) No, some of the ordered pair in this graph have the same first element.
Answer:
D
Step-by-step explanation:
if you draw any vertical line through a function it should have a max of one intersection point so if the graph, reading from left to right doubles back on itself, it is not a function
the perimeter of a square is less than or equal to 50 find the range of the value of the length of the square
Answer:
12.5 ≥ s >0
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
50 ≥ 4s
Divide each side by 4
50/4 ≥ 4s/4
25/2 ≥ s
12.5 ≥ s
Which function has a domain and range that includes all real values?
Answer:
the third one
the line extends in both ways forever
If one ruler and three pencils cost N120 and two
rulers and one pencil cost N140. Find the cost of
one ruler and one pencil
Answer:
N80
Step-by-step explanation:
One ruler is N60 and one pencil is N20.
what song goes whoooooo Iiiiii smoooooooooke
Answer:
Lol yu lateee das "who i smoke by yung ace"
Step-by-step explanation:
Answer:
woogle said woo hoo by rock a teens
Step-by-step explanation:
What is the x-coordinate of the point of intersection for the two lines below?
-6 + 8y = -6
7x -10y = 9
Answer choices
1.) -6
2.) -3
3.) 3
4.) 7
Answer:
c.
Step-by-step explanation:
(4.8 × 10⁷) + 6,500,000
Answer:
5.45 * 10^7
Step-by-step explanation:
[tex](4.8 * 10^7) +6,500,000[/tex]
= [tex](4.8 * 10^7) + 6.5 * 10^6[/tex]
= [tex](4.8 * 10^7) + (0.65 * 10^7)[/tex]
= [tex]5.45 * 10 ^7[/tex]
An urn contains 5 blue marbles and 4 yellow marbles. One marble is removed, its color noted, and not replaced. A second marble is removed and its color is noted.
(a) What is the probability that both marbles are blue? yellow?
(b) What is the probability that exactly one marble is blue?
Answer:
(a)The probability that both marbles are blue=5/18
The probability that both marbles are yellow=1/6
(b)The probability that exactly one marble is blue=5/9
Step-by-step explanation:
Blue marbles=5
Yellow marbles=4
Total marbles=5+4=9
(a)
Probability of drawing first blue marble=5/9
Probability of drawing second blue marble without replacement=4/8
The probability that both marbles are blue
[tex]=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}[/tex]
Probability of drawing first yellow marble=4/9
Probability of drawing second yellow marble without replacement=3/8
The probability that both marbles are yellow
[tex]=\frac{4}{9}\times \frac{3}{8}=\frac{1}{6}[/tex]
(b)
The probability that exactly one marble is blue
=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)
The probability that exactly one marble is blue
=[tex]\frac{5}{9}\times \frac{4}{8}+\frac{4}{9}\times \frac{5}{8}[/tex]
=[tex]\frac{5}{18}+\frac{5}{18}[/tex]
=[tex]\frac{10}{18}=\frac{5}{9}[/tex]
Help me with this question plz
19. 68 because 90seconds 1hr 30 mons
What is the end behavior of the function f(x)=54x2?
9514 1404 393
Answer:
as x → ±∞, f(x) → ∞
Step-by-step explanation:
The function is of even degree, so the end behavior is the same for x → ±∞. The leading coefficient is positive, so the end behavior is f(x) → +∞.
A Circuit has a 5000 V power supply(AC), A load resistance of 4 ohms and open switch how much Current will flow in a circuit as it is ?
Answer:
1250 amps
Step-by-step explanation:
V = 5000 V
R = 4 ohms
Use ohms law: V = IR
5000 =I(4)
I = 1250 amps
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
Answer:
12% percent of fish in own
The % of people surveyed own fish is 12%.
To find the % of people surveyed own fish.
What is relative frequency?Relative frequency refers to the percentage or proportion of times that a given value occurs within a set of numbers, such as in the data recorded for a variable in a survey data set.
Given that:
In a survey conducted at a pet store, 150 customers were asked if they owned birds or fish.
By the data on the table:
Total (own fish) = 0.04 + 0.08 = 0.12
So, own fish = 0.12
=12/100= 12%
So, 12% of the people surveyed own fish.
Learn more about relative frequency here:
https://brainly.com/question/24263545
#SPJ2
The perimeter of a rectangular parking lot is 318m. If the width of the parking lot is 61m what is the length
Answer:
98 meters
Step-by-step explanation:
Simplify each side of the equation:
318 = 2(61+x)
318= (2)(61) + (2)(x)
318= 122 + 2x
Flip the equation:
2x + 122 = 318
Subtract 122 from each side:
2x + 122 − 122 = 318 − 122
2x = 196
Divide both sides by 2:
2x/2 = 196/2
x = 98
allowing 20% discount on the marked price of a watch, the value of the watch will be rs 6328, when a VAT of 13% is added find it's marked price
Step-by-step explanation:
let , MP =x
then,
discount amount =D% of MP
= (20/100)× x
= 0.2x
now,Sp without VAT = MP-D
=x - 0.2x
= 0.8x
NoW, SP with VAT = Sp without VAT+ VAT %of SP
or ,6328 = 0.8x + 13% of 0.8x
or, 6328 = 0.8x + (13/100) × 0.8x
or, 6328= 0.8x + 0.104x
or,. 6328= 0.904x
or, X= 6328/0.904
X= 7000 Rs.
Hence ,MP is Rs.7000
What is the value of |-6|-|6| -(-6)
Answer:
6
Step-by-step explanation:
Solve the absolutes: |-6| becomes 6
and |6| doesn't change and still is 6
Substitute: 6-6-(-6)
- * - = +
6-6+6 = 6
A newsletter publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
The advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%
Find the numerical value of the area under the normal curve given the following information:
less than z = -0.06
enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234
Answer:
.4761
I have a feeling that you are not quite getting the concept of these questions
a "Z" table "maps" a value (x-mu/sigma) to a number on a z-table chart
Your calculator has the function but the chart is simple for this questions
the numbers IN the chart represent "the percent UNDER THE NORMAL CURVE"
a z =0 is the MIDDLE so it is 50%
your questions is negative so it is to the left of the "middle"
all you have to do is find the z number on the chart and that is the answer to this question
Step-by-step explanation:
