(i)Given number = 8000
=8 × 1000
= 8×10³
The standard form of 8000 is 8×10³
(ii)Given number = 0.00000000094
⇛ 94/100000000000
⇛ 94/10¹¹
On multiplying and dividing with 10 then
⇛ (94/10¹¹)×(10/10)
⇛ (94/10)×(10/10¹¹)
⇛ 9.4 × (1/10¹⁰)
⇛ 9.4/10¹⁰
⇛ 9.4×10^-10
The standard form of 0.00000000094 = 9.4×10^-10
(iii) Given number = 467.5
⇛ 4675/10
On multiplying and dividing with 1000 then
⇛ (4675/10)×(1000/1000)
⇛ (4675/1000)×(1000/10)
⇛ 4.675 × 100
⇛ 4.675×10²
The standard form of 467.5 = 4.675×10²
(iv) Given number = 50200000000000
⇛ 502×100000000000
On multiplying and dividing with 100 then
⇛ (502/100)×100000000000×100
⇛ 5.02 ×10000000000000
⇛5.02 × 10¹³
The standard form of 50200000000000 is
5.02 × 10¹³
(v)Given number = 0.00000005837
⇛ 5837/100000000000
On multiplying and dividing with 1000 then
⇛ (5837/1000)×(1000/100000000000)
⇛ 5.837/100000000
⇛ 5.837/10⁸
⇛ 5.837×10^-8
The standard form of 0.00000005837 is 5.837×10^-8
(vi) Given number = 71860000000
⇛7186×10000000
On multiplying and dividing with 1000 then
⇛ (7186/1000)×10000000×1000
⇛ 7.186×10000000000
⇛ 7.186×10¹⁰
The standard form of 71860000000 is 7.186×10¹⁰
At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Answer:
65 hot dogs, 96 sodas
Step-by-step explanation:
x + (x + 31) = 161
2x + 31 = 161
2x = 130
x = 65
65 hotdogs
65 + 31 = 96
96 sodas
With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,
Answer:
10,597.50 cubic mm
Step-by-step explanation:
V(cone) = [3.14(h)(r²)] ÷ 3
= 3.14(15)(15²) ÷ 3
= 10,597.5
I need help on this assignment
[tex]\text{Apply Pythagorean theorem,}~ \text{Hypotenuse side}^2 = \text{Opposite}^2 + \text{Adjacent side}^2[/tex]
[tex]12^2 =y^2 +8^2\\\\\implies y^2 = 12^2 -8^2 \\\\\implies y^2 = 80\\\\\implies y =\sqrt{80} = \sqrt{16\times 5}= 4\sqrt 5~~ \text{Units}[/tex]
Can someone please explain the steps?
Answer:
There all 67 degrees
Step-by-step explanation:
Answer:
y= 119
Step-by-step explanation:
From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too
All inner angles of a parallelogram add up to 360
61+61=122
360-122=238
238/2=119
Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.
The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]The probability of choosing all containers of one flavors is P(X = 4).
There are 13 containers, hence, the probability is multiplied by 13.[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]
13 x 0.000018469 = 0.0002
0.0002 = 0.02% probability that 4 of those containers are the same flavor.
A similar problem is given at https://brainly.com/question/25743676
The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.
Given :
Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.The probability according to the Hypergeometric distribution is given by:
[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex] --- (1)
where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.
Now, substitute the values of known terms in the expression (1).
[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]
[tex]\rm P(X=4) =0.000018469[/tex]
Now, multiply the above result by 13.
[tex]13\times 0.000018469=0.0002[/tex]
So, the probability that 4 of those containers are the same flavor is 0.02%.
For more information, refer to the link given below:
https://brainly.com/question/23017717
Solve each equation.
1) | 2x - 4 | = 10
2) -5 | -4x + 4 | - 7 = -67
Show all work please :D
[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]
Find the area of the rhombus
WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
NO LINKS WILL BE ACCEPTED!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
y=3 x=1
Step-by-step explanation:
Took the quiz
Please show me what the lines would look like on this piece wise function
Explanation:
The f(x) function is piecewise, and it has a double identity depending on what x is.
If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.
The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.
So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.
What am I supposed to say on here the question is in the picture
Write a quadratic function whose zeros are 2 and -12. 60 Point question Answer ASAP for brainliest!
Answer:
x^2 + 10x - 24 = 0
Step-by-step explanation:
Two zeros are 2 and -12:
x - 2 = 0x + 12 = 0So the function is (x-2)(x+12) = 0
<=> x^2 + 12x - 2x - 24 = 0
<=> x^2 + 10x - 24 = 0
identify the x- and y- intercepts for the line: -3x+3y=27
Step-by-step explanation:
-3x + 3y = 27
-x + y = 9
y = x + 9
so the y-intercept is 9 (y value when x =0).
and as point (0, 9)
the x-intercept is the x value when y = 0 :
0 = x + 9
x = -9
and as point (-9, 0)
Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2
Answer:
x = 2, m = 3.75, a = 1.25Step-by-step explanation:
Solve by comparing ratios of corresponding sides:
(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75
a/3 = 5/12a = 3*5/12a = 1.25
pls help. will give brainliest :)
Answer:
its option B
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
Answer:
C
Step-by-step explanation:
The first equation has a y-intercept of -3. Only one line does.
The second equation has a y-intercept of +1. Only one line does.
The point of intersection of those two lines is the point labeled C. That has coordinates that satisfy both equations. (The point is on both lines.)
James makes $44,059 per year, how much would he make monthly?
Answer:
$3671.58
Step-by-step explanation:
Take the annual salary and divide it by the number of months
Write the slope-intercept form of the line between the two points.
1. through: (0, 2) and (1, -3)
SI:
HELP FAST LAST QUESTION ON TEST!!! The front lawn of NPHS has a roped off area of 2x? - 11x + 15. What are the
possible dimensions of the roped off area?
Answer:the area is = the length*the width
2x^2-11x+15= (2x-5)* the width
you have to divide 2x^2 - 11 x + 15 at 2x-5
2x^2-11x+15 | 2x-5
-2x*2+5x x-3
-------------
/ -6x+15
+6x-15
-----------------
/ /
the answer is X-3
Step-by-step explanation:
Which relation is not a function?
A
{(10,−5),(8,−4),(4,−2),(2,0)}
B
{(1,−2),(1,−4),(1,0),(1,8)}
C
{(−3,9),(−2,4),(−1,1),(1,1)}
D
{(3,10),(5,−5),(6,6),(9,11)}
Answer: B repeating domain is 1
Step-by-step explanation: Repeat domain is not a function. Hope this help:)
Find the value of x and then identify the measure of each of the angles.
Answer:
x = 21
Upper angle has a measure of 69°
Lower angle has a measure of 21°
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
A right angle has a measure of 90 degrees.
This means that (x + 48) + x must equal 90
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
x + 48 + x = 90
combine like terms
2x + 48 = 90
subtract 48 from both sides
2x = 42
divide both sides by 2
x = 21
We then plug in x to find the measures of the angles
x + 48
x = 21
21 + 48
= 69
The other angle simply equals 21°
Answer:
x = 21°
(x + 48°) = 69=
Step-by-step explanation:
x + 48° + x = 90°
2x +48° = 90° Subtract 48° in both sides
2x = 42° Divide both sides by 2:
x = 21°
5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)
Answer:
7
Step-by-step explanation:
the square root of 49 is 7 since 7 x 7 = 49
Can someone Please help me on this easy math problem
Step-by-step explanation:
Equation of a straight line
y = mx + c, m is the slope, and c the intercept
points (3,7) x = 3, y = 7, c = 1
7 = m × 3 + 1
7 = 3m + 1
3m = 7 - 1
3m = 6
m = 6/3
m = 2
given f(x)=1/4(5-x)2 what is the value of f(11)
Answer:
f(x)=1/4(5-x)²
Step-by-step explanation:
f(11)=1/4(5-11)²
1/4(-6)²
1/4(36)
=9
Answer:
=9
Step-by-step explanation:
;0
(ii) A retailer paid Rs 40000 for an article after receiving a discount of 20% the marked price from the manufacturer. He sold the article to the customer at a discount of 10% on the marked price. If the rate of CGST is 6% and the sales are intra state, the price paid by the consumer is
(a) Rs 53760
(b) Rs 50400
(c) Rs 47700
(d) Rs 50880
if the answer is correct with explanation will mark you as BRAINLIST
Answer:
the answer is C
Step-by-step explanation:
40,000/.80 = 50,000
50,000 x .10 = 5,000
50,000 - 5,000 = 45,000
45,000 x .06 =2700
45,000 + 2,700 = 47,700
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account
Checking accounts:
Are the least interest bearing accounts Allow for frequent withdrawals using a check or debt card Charge lower feesChecking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.
In conclusion, option A is correct.
Find out more about checking accounts at https://brainly.com/question/21714367.
find the equation of the line that is parallel to y=x-3 and contains the points (3,-2)
Terre Haute to Indianapolis to Bloomington measure 3 cm on the map. What is the actual distance?
a) 100 km
b) 150 km
c) 200 km
d) 250 km
From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.
From the complete information, we are told that on the map of Indiana, 1cm = 50km.
Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:
= 3 × 50 = 150km
Learn more about distance on:
https://brainly.com/question/2166162
Answer:
if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6
then here are the correct answers
Step-by-step explanation:
1. B. 150 km
2. A. 300 km
3. D. 7.5 cm
4. B. 30 yd ^ 2
5. A. 90 x 45
i hope this helps please coment if you can! = ) <3
27.81 + (-13.97) please help
Answer:
13.84
Step-by-step explanation:
Answer:
13.84
Step-by-step explanation:
im always here to help...