Answer:
Step-by-step explanation:
p=2.4×10^5.
q=3.7×10^5
pq = 2.4 * 10⁵ * 3.7 * 10⁵
= 2.4 * 3.7 *10⁽⁵⁺⁵⁾
= 8.88 * 10¹⁰
p + q = 2.4 * 10⁵ + 3.7 * 10⁵
= ( 2.4 + 3.7) * 10⁵
= 6.1 * 10⁵
[tex]y = \frac{pq}{p+q}\\\\ = \frac{8.88*10^{10}}{6.1*10^{5}}\\\\= 1.46 * 10^{10-5}\\= 1.46 * 10^{5}[/tex]
James was trying to sleep one night but there was too much noise around him. His clock ticked every
20 seconds; a tap was dripping every 15 seconds and his pet dog snored every 27 seconds. Lid M
He noticed on his clock that all the three events happened together on the stroke of midnight.
(a) After how many minutes would all the three events happen together again?
(b) How many times would all the three events happen together again between midnight and one
o'clock?
Answer:
It will occur zero times between midnight and one o'clock.
Step-by-step explanation:
Least Common Multiple (LCM)
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Pls help I’m stuckkk
Answer:
3cm²
Step-by-step explanation:
1/2 x 2 x 3 = 3
you are flying a kite and want to know its angle of elevation. the string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. an inverse trigonometric function to find the angle of elevation of the kite. PLEASE HELP WITH THIS GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
15 metters
Step-by-step explanation:
hope this helps you.
I’ll give you brainiest if you answer correctly! I need help please
Answer:
Here is how i figured it out
Step-by-step explanation:
Brainliest pls ?
Please help I'll mark brainliest
Answer:
I would say for almonds next to the number 2 put $21.98 and for dried apricots next to $26.25 put 3 pounds and then see which one is more expensive.
Step-by-step explanation:
Apricots is less expensive than Almonds.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
2 pounds almonds cost = 21.98
So, cost of 1 pounds cost = 21.98/2= 10.99
and, 3 pounds apricots cost= 26.25
So, cost of 1 pounds cost = 26.25/3 = 8.75
Hence, Apricots is less expensive than Almonds.
The complete Table is
Almonds Dried Apricots
Cost Weight Cost Weight
21.98 2 26.25 3
10.99 1 8.75 1
Learn more about unitary method here:
https://brainly.com/question/22056199
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[tex]\frac{n+1}{2} =-\frac{3}{4}[/tex]
Answer:
[tex]:\implies\tt \dfrac{n + 1}{2} = -\dfrac{3}{4} \\ \\ \\ [/tex]
⚽ Cross multiplying both the sides we get :
[tex]:\implies\tt (n + 1) \times 4= -3 \times 2 \\ \\ \\ [/tex]
[tex]:\implies\tt 4n + 4= -6 \\ \\ \\ [/tex]
[tex]:\implies\tt 4n = -6 - 4 \\ \\ \\ [/tex]
[tex]:\implies\tt 4n = -10 \\ \\ \\ [/tex]
[tex]:\implies\tt n = \dfrac{-10}{4}\\ \\ \\ [/tex]
[tex]:\implies\tt n = \dfrac{-5}{2}\\ \\ \\ [/tex]
[tex]:\implies \ddag \: \gray{ \underline{ \boxed{\tt n = - 2.5}}} \: \ddag\\ \\ \\ [/tex]
By what factor does the output value increase as each input value increases by 1
Given:
The table of values of an exponential function.
To find:
The factor by which the output value increase as each input value increases by 1.
Solution:
The general exponential growth function is
[tex]f(x)=ab^x[/tex] ...(i)
where, a is initial value and b is growth factor.
From the given table it is clear that the function passes through (0,3). So, put x=0 and f(x)=3 in (i).
[tex]3=ab^0[/tex]
[tex]3=a(1)[/tex]
[tex]3=a[/tex]
From the given table it is clear that the function passes through (2,12). So, put a=3, x=2 and f(x)=12 in (i).
[tex]12=3b^2[/tex]
Divide both sides by 3.
[tex]4=b^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{4}=b[/tex]
[tex]\pm 2=b[/tex]
Growth factor cannot be negative. So, b=2.
Therefore, the output value increase by factor 2 as each input value increases by 1.
find the value of angle x
pls answer
Answer:
110
Step-by-step explanation:
lets assume y is the angle next to x which should complete to form a 360.
50 + 25 + 35 + y = 360
y = 250
x + y = 360
x + 250 = 360
x = 110
Answer:
110
Step-by-step explanation:
lets assume y is the angle next to x which should complete to from a 360.
50 + 25 + 35 + y = 360
y = 250
x + y = 360
x + 250 = 360
x = 110
There is an equal number of protons and __________ in a neutral atom.
A. electrons
B. neutrons
C. protons
D. elements
Answer:
Electrons
Step-by-step explanation:
Protons have a positive charge. Electrons have a negative charge. Neutrons have no charge. When there is an equal number of protons and electrons in an atom, the charges cancel out and the atom is neutral.
A water bottle cost $9.45. Sales tax is 7%. What is the total cost?
Answer:
$10.11
Step-by-step explanation:
Answer:
10.11
Step-by-step explanation:
7% of 9.45 is 0.66, and 9.45 + 0.66 = 10.11, so the answer is 10.11
Which expression is equivalent-3(6x+7)+4(7x+2)
Answer: are there choices?
Step-by-step explanation:
A company wishes to manufacture a box with a volume of 20 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
Answer:
2.47 feet
Step-by-step explanation:
Let l, b, and h be the length, width, and height of the box.
As the length is twice the width, so l=2b ...(i)
The volume of the box is 20 cubic feet, so
lbh=20
(2b)bh=20 [by using (i)]
[tex]h=\frac {20}{2b^2} \\\\h= \frac {10}{b^2} ...(ii)[/tex]
The material required= surface area, S, of the open box
S= lb+2bh+2lh
By using equation (i) and (ii), we have
[tex]S= 2b(b)+2b\times \frac {10}{b^2} +2(2b)\times \frac {10}{b^2}[/tex]
[tex]S= 2b^2+ \frac {20}{b} + \frac {40}{b} \\\\S= 2b^2+ \frac {60}{b} \cdots(i)[/tex]
Now, we have the surface area, S, as the function of width, b.
Differentiate S with respect to b then equate it to zero to get the extremum values, as
[tex]\frac {dS}{db}=0 \\\\\frac {d}{db}(2b^2 +60/b)=0 \\\\4b-\frac{-60}{b^2}=0 \\\\4b=\frac{60}{b^2} \\\\b^3=\frac{60}{4} \\\\b=(15)^{1/3}[/tex]
b=2.47 feet.
Now, by second differentiation, checking the nature of extremum value.
[tex]\frac {d^2S}{db^2}=4+\frac {120}{b^3}[/tex]
For [tex]b>0, \frac {d^2S}{db^2} >0[/tex]
So, the width of the box, b=2.47, is the minima for the area, S(b).
Hence, the width of the box that can be produced using the minimum amount of material is 2.47 feet.
A florist can order roses in bunches of 12 and lilies in bunches of 8. Last month she ordered the same number of roses and lilies. If she ordered no more than 100 of each kind of flower, how many bunches of each could she have ordered? Find all the possible combinations.
Answer:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
Step-by-step explanation:
Given that:
Roses come in a bunch of 12 flowers and
Lilies come in a bunch of 8 flowers
Number of roses ordered is equal to the number of lilies ordered.
Total number of flowers ordered are lesser than 100.
To find:
The possible number of combinations such that equal number of flowers are bought.
Solution:
Here, we need to find the Least Common Multiple.
[tex]12 = \underline{2 \times 2} \times 3[/tex]
[tex]8 = \underline{2 \times 2} \times 2[/tex]
LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]
Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.
i.e.
24, 48, 72, 96 ....
Here, two types of flowers are there.
Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.
48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.
Total possible combinations:
2 bunches of roses and 3 bunches of lilies.
4 bunches of roses and 6 bunches of lilies.
What is 897% as a decimal
Answer:
8.97
Step-by-step explanation:
PLEASE HELP ME ASAP!! ILL GIVE YOU POINTS AND BRAINLIEST IF YOU ANSWER ALL 3 TRUE OR FALSE QUESTIONS CORRECTLY.
A) Slope=8 True or False?
B) Unit Rate= $8/hour True or False?
C) The equation of this relationship is y= 1/8x True or False?
Answer:
True, True, False.
Step-by-step explanation:
A) Rise/Run is 8/1
B) 8 dollars are earned every hour
C) Correct equation is y=8x
The distance between Prague and Vienna is 254 km. The local time in Prague is the same as the local time in Vienna. Calculate the average speed of the train
Answer: 56.44 km/h
Step-by-step explanation:
Speed = Distance / Time
Time = 1950 - 1520 = 4 hours 30 minutes = 4.5 hours
Speed = 254/4.5
= 56.44 km/h
What is the solution to the system below?
y = 5x - 9
y = x + 3
Answer:
I think it like this .........
Answer:
(3, 6 )
Step-by-step explanation:
Given the 2 equations
y = 5x - 9 → (1)
y = x + 3 → (2)
Substitute y = 5x - 9 into (2)
5x - 9 = x + 3 ( subtract x from both sides )
4x - 9 = 3 ( add 9 to both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 3 + 3 = 6
solution is (3, 6 )
What is the estimate value of 976 divided by 0.188
Answer:
5,191.48936
Step-by-step explanation:
Given:
976 / 0.188
Find:
Value
Computation:
⇒ 976 / 0.188
⇒ 976000 / 188
5,191.48936
need help finding answer
Step-by-step explanation:
Triangle XYZ is isosceles.
Since Angle Y = 90°, Angle Z = (180° - 90°)/2 = 45°.
how does the graph of y=|x|+ 4 compare to the graph of the parent function y=|x|?
Answer:
Please check the explanation and attached graph.
Step-by-step explanation:
Given the parent function
y = |x|
In order to translate the absolute function y = |x| vertically, we can use the function
g(x) = f(x) + h
when h > 0, the graph of g(x) translated h units up.
Given that the image function
y=|x|+4
It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.
The graph of both parent and translated function is attache below.
In the graph,
The blue line represents the parent function y=|x|.
The red line represents the image function y=|x| + 4.
It is clear from the graph that the y=|x| + 4 translated '4' units up.
Please check the attached graph.
At 6 AM the temperature read -17 F by noon it had risen by 23 F
Find the new temperature
Answer:
At noon, the temperature would be 6 °F
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
We are trying to find the new temperature. We can disregard time since we are not asking for the time elapsed but for the change in temperature.
Our starting temperature is -17 °F and rose by 23 °F:
-17 °F + 23 °F = 6 °F
Which number line best shows how to solve -4- (-8)
Answer:
A
Step-by-step explanation:
For this specific question its B but If you get another order of answers its is the on that goes down to -4 then gets 8 units higher leaving it at 4.
on the first day of your garage sale, you earn 12x+9 dollars. The next day you earn 22x dollars. Is it possible that you earned the same amount each day? Explain.
Set the two expressions equal to one another and solve for x
22x = 12x+9
22x-12x = 9
10x = 9
x = 9/10
x = 0.9
Assuming x is the number of items sold, then it is not possible to have the same amount earned for the two days. This is because we cannot sell 0.9 of an item. So it appears it is not possible to earn the same amount each day.
A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total, how many ways are there to divide a day into periods of seconds, where and are positive integers
Answer:
96 ways
Step-by-step explanation:
Given
[tex]Day = 86400\ seconds[/tex]
Required
Ways to divide it into period of seconds
What this question implies is to determine the total number of factors of 86400
To start with, we determine the prime factorization of 86400
To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...
[tex]86400/2 = 43200[/tex]
[tex]43200/2=21600[/tex]
[tex]21600/2=10800[/tex]
[tex]10800/2=5400[/tex]
[tex]5400/2= 2700[/tex]
[tex]2700/2 = 1350[/tex]
[tex]1350/2=675[/tex]
[tex]675/3=225[/tex]
[tex]225/3=75[/tex]
[tex]75/3=25[/tex]
[tex]25/5=5[/tex]
[tex]5/5 = 1[/tex]
This implies that:
[tex]86400 = 2^7 * 3^3 * 5^2[/tex]
The number of factors d is the solved by:
[tex]d = (a+1)*(b+1) *(c+1)[/tex]
Where
[tex]n = 2^a * 3^b * 5^c[/tex]
By comparison:
[tex]a = 7[/tex]
[tex]b = 3[/tex]
[tex]c=2[/tex]
So:
[tex]d = (7+1)*(3+1) *(2+1)[/tex]
[tex]d = 8*4 *3[/tex]
[tex]d = 96[/tex]
Hence, there are 96 total ways
Convert the following equation
into slope-intercept form and
identify the slope and y-intercept.
2y - 3x = 4
Answer:
y = [tex]\frac{3}{2}[/tex]x + 2
Slope: [tex]\frac{3}{2}[/tex]
Y-Intercept: 2
Step-by-step explanation:
2y - 3x = 4
2y = 3x + 4
y = [tex]\frac{3}{2}[/tex]x + 2
Slope: [tex]\frac{3}{2}[/tex]
Y-Intercept: 2
Order the rational numbers below from least to greatest 3/12,-0.20,-8/4,-2.5,0
Answer:
-2.5, -8/4, -0.20, 0, 3/12
Step-by-step explanation:
The pair of polygons is similar. Find the value of x
Answer:
The value of x is 3
Step-by-step explanation:
If they area similar, then the ratio of the sides are equal
Mathematically;
x+ 1/3x + 1 = 8/20
20(x + 1) = 8(3x + 1)
20x + 20 = 24x + 8
24x-20x = 20-8
4x = 12
x = 12/4
x = 3
I doesn’t really make sense to me need some help
Answer: x= 15
Step-by-step explanation: So to prove these two lines A and B are congruent the angles must line up which mean rules of complimentary, Supplementary and alternating angles apply. For angles 2 and 4 due to our alternating angles rule they add up to equal 180 so in math
2x+10+4x+80 = 180 or 6x+90=180 where x = 15
20/12=15/x find x plz help
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
To find x, we first have to solve the equation given in the question:
[tex]\frac{20}{12} = \frac{15}{x}[/tex]
[tex]20x = 15 \cdot 12[/tex]
[tex]x = \frac{180}{20}[/tex]
[tex]x = 9[/tex]
Therefore, x = 9.
Hope this helped!
Answer:
x=9
Step-by-step explanation:
We have: [tex]\frac{20}{12}[/tex]=[tex]\frac{15}{x}[/tex]
First, we can simplify 20/12 by 4
[tex]\frac{5}{3}[/tex]=[tex]\frac{15}{x}[/tex]
this is a proportion, so we can cross multiply (multiply 5 by x and 3 by 15)
5x=45
divide by 5
x=9
Hope this helps!
what is the simplified form of 4x - 7 + x - 10
Answer:5x-17
Step-by-step explanation:
4x - 7 + x -10 = 0
4x + x - 7 - 10 = 0
5x - 17 = 0
5x = 17
x = 17/5