Answer:
How to write 0.0000000642 in scientific notation? The number 0.0000000642 in scientific notation is written as 6.42 × 10 -8. Scientific notation is a way of expressing numbers that are too large or too small, written in the form of a power of 10.
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Answer: 6.42*10^(-8)
Step-by-step explanation:
0.0000000642=
0.642/10000000=
6.42/(10*10000000)=
6.42/100000000=
6.42/(10^8)=
6.42*10^(8*(-1))=6.42*10^(-8)
Pls help me with this
Answer:
ans) 4G and 6/x+y
Step-by-step explanation:
10) it says the product of both so when both multiply each other , we get the product
the following are the weights of 10 young dogs, in pounds: 7, 5, 11, 8, 14, 19, 16, 15, 13, 27 what proportion of the measurements lie in the interval (write it up to first decimal place)?
The proportion of the measurements lie in the interval is 0.9.
According to the given question.
Weigths of 10 young dogs.
W : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27
As we know that mean si calculated by the formula
Mean = ΣW / n
Thereofre, the mean of the weights of 10 young dogs
= 7 + 5 + 11 + 8 + 14 + 19 + 16 + 15 + 13 + 27/ 10
= 13.5
And, Standard deviation (s) = 6.433
Proportion that lies in mean ± 2s
Lower = Mean - 2s
⇒ 13.5 - 2(6.433) = 0. 632
Also, Upper = Mean + 2s
⇒ 13.5 + 2(6.433) = 26.376
Mean ± 2(sd) = (0.632, 26.276)
The only digit from the data which falls outside the defined range = 27
Proportion within interval = 9 / n
Proportion which falls within interval = 9/10 = 0.9
Hence, the proportion of the measurements lie in the interval is 0.9.
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If 5/9 of the vegetable medley is green beans and there is a total of 5 pounds of
vegetable medley, how many pounds of green beans do they have? Leave your
answer as an improper fraction, if applicable.
The pounds of green beans in the vegetable medley is 2.78 pounds
FractionTotal pounds of vegetable medley = 5 poundsFraction of green beans in vegetable medley = 5/9Pounds of green beans in the vegetable medley = Fraction of green beans in vegetable medley × Total pounds of vegetable medley
= 5/9 × 5
= (5 × 5) / 9
= 25 / 9
= 2.777777777777777 pounds
Approximately,.
Pounds of green beans in the vegetable medley = 2.78 pounds
Therefore, the pounds of green beans in the vegetable medley is 2.78 pounds
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Sara leaves home at 8:00 a.m. and drives at an average speed of 45 miles per hour. Her brother Pedro leaves home at 9:00 a.m. and drives along the same path at an average speed of 65 miles per hour. a. How many hours will Sara have driven when Pedro catches up with her? hours b. How far from home are they when Pedro catches up with Sara?
Using linear functions, we have that:
a. Sara will have driven 2.25 hours when Pedro catches up with her.
b. They are 146.25 miles from home when Pedro catches up with Sara.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.We have to consider the starting time as when Pedro leaves, when Sara will be at position 45 miles. Considering the velocities as the slope, the functions are:
S(t) = 45 + 45t. P(t) = 65t.Pedro will catch up with Sara when:
P(t) = S(t)
Hence:
65t = 45t + 45
20t = 45
t = 45/20
t = 2.25 hours.
Sara will have driven 2.25 hours when Pedro catches up with her.
The distance from home will be given by:
P(2.25) = S(2.25) = 65(2.25) = 45(2.25) + 45 = 146.25.
They are 146.25 miles from home when Pedro catches up with Sara.
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Alfred delivers 10 to the power of 2 newspapers every week. How many does he deliver in 14 weeks?
Answer:
1400
Step-by-step explanation:
10² is 100 so 100*14 is 1400
Can someone help me plss
Carpet sells for $4 per square foot and will cost you $616 to recarpet your rectangular room. if your room is 14 feet long, how many feet wide is it?
When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
Given,
The cost of Carpet per square foot = $4
Total cost of the carpet = $616
We know
Area of the rectangle = Length × Width
Length = 14 feet
Consider the width of the rectangular room as x
Then the area of the room = 14x
Total cost of carpet = Area of the rectangular room× Cost of carpet per foot
Substitute the values
14x×4=616
14x=154
x=11 feet
Hence, When carpet sells for $4 per square foot and will cost you $616 to carpet your rectangular room, if you room is 14 feet long then the width is 11 feet
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PLEASE HELP NO TIME :(
Using proportions, we have that:
A. 0.05x + 0.4(10 - x) = 0.2(10).
B. You need 5.7 liters of the 5% solution and 4.3% liters of the 40% solution.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
In item A, we have that the total amount that she has is 20% acid of 10 liters, hence:
0.2(10).
She wants to split it into a 5% solution and a 40% solution, a total of 10 liters, hence the amounts to each solution are x and 10 - x, as follows:
0.05x + 0.4(10 - x).
Hence the equation is:
0.05x + 0.4(10 - x) = 0.2(10).
The solution for x is found as follows:
0.05x + 4 - 0.4x = 2.
0.35x = 2
x = 2/0.35
x = 5.7.
Hence, for item b:
You need 5.7 liters of the 5% solution and 4.3% liters of the 40% solution.
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10. If the mine winch drum diameter is 6M, calculate how far the counterweight will lift for each single rotation of the drum.
The counterweight lifted in each rotation of the drum is 18.85m.
The diameter of the drum is : d=6m
hlift=C=πd
C=[tex]\frac{22}{7}[/tex]×6
C=18.85 m
Any straight line segment that cuts through the center of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord.
Diameter also refers to the length d of a diameter. As opposed to a diameter, which refers to the line segment itself, one uses the term "diameter" in this context since all diameters of a circle or sphere have the same length, which is equal to twice the radius r. The longest distance that may be generated between the tangents of two opposite parallel lines is referred to as the diameter for a convex shape in the plane.
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Find the slope, y intercept and equation LAST ONE FOR THIS
Find the sum of the first 13 terms of the sequence 2, 5, 8, 11,.... [answer format: integer, no units]
According to the given statement the first 13 words in this sequence add up to 260.
What is sequence?In mathematics, a sequence is an itemized group of elements where repeats are tolerated and order is significant. It has members, just like a set (also called elements, or terms). The length of the series is the number of items (potentially infinite). In contrast to a set, the same items might occur more than once in a sequence at various points, and unlike a set, the order is important. A sequence can be described formally as a function from natural numbers (the locations of the sequence's members) to the items at each of those positions. An indexed family, which is a function from an index set that may not be integers to another set of elements, can be thought of as a more extended version of a sequence.
According to the given data:We are informed that the order is2,5, 8, 11, ..... ..............(1)
The total of the first 13 terms must always be established.
Sum of n terms formula is
Sn (2a + (n − 1)d)
First term = a = 2 from
(1)The average difference is 3 (5-2=8-5=11-8=3).
via formula
S13 13 (2a +(13 – 1)d) 2S13 13
(2 x 2 + (13 - 1) 3) 213
(4+36)13 (40)
= 260
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A local donut shop charges $0.89 per donut, plus a one-time charge of $0.15 for the box, the service, etc. (a) write a function that expresses the amount charged as a function of the number of donuts bought. (b) use the function from (a) to determine the price of a box with a dozen donuts in it. (c) use the function from (a) to determine how many donuts would in a box that cost $6.38.
The answers are as follows -
(a) f(x) = 0.15 + 0.89x
(b) $ 10.83.
(c) 7 donuts
(a) Firstly, forming the function using given information. Let x be the number of donuts. Adding the one-time fee and cost per donut.
f(x) = 0.15 + 0.89x
(b) As per the known fact, 1 dozen = 12 quantities. Hence, there will be 12 donuts. Keeping the values in formula to find the price of box.
f(12) = 0.15 + 0.89 × 12
f(12) = 0.15 + 10.68
f(12) = 10.83
Thus, the price of box containing one dozen donuts is 10.83.
(c) Now, finding the value of x as per given cost.
6.38 = 0.15 + 0.89x
0.89x = 6.38 - 0.15
0.89x = 6.23
x = 6.23 ÷ 0.89
x = 7
Thus, a box costing $6.38 will contain 7 donuts.
Hence, (a) f(x) = 0.15 + 0.89x, (b) $ 10.83 and (c) 7 donuts.
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Find the slope of the line that passes through (-6,10) and (7,-10)
Take the difference in y coordinates and divide that by the difference in the x coordinates. That's the slope, sometimes called the "rise over run" For a straight line or a linear function the slope is a constant
(6-10)(7,10) = 2/3 = slope
the line is
y-h = m(x-k) where m=2/3 and (k,h) = (10,10) or either point
to get y-10 = (2/3)(x-10)
3y -30 = 2x-20
2x-3y = -10
or use (k,h) as (7,8)
y-8 = (2/3)(x-7)
3y-24 = 2x-14
2x-3y = -10
or if you write it in y=mx + b form
it's y=(2/3)x + 10/3 where 10/3 is the y-intercept and 2/3 = slope
In this form, take the derivative of (2/3)x + 10/3
to get y' = 2/3, the derivative is the slope
Can someone answer this correctly please and thank you :D
Carl had $840 more than Daisy. Carl spent 3/4 and Daisy spent 3/5 of their money respectively. Daisy was then left with $60 more than Carl. How much did Carl have at first?
Carl had 1920 dollars at first.
Word Problem leading to equationGiven that Carl had $840 more than Daisy.
Let Daisy money = M
Carl Money = 840 + M
If Carl spent 3/4 and Daisy spent 3/5 of their money respectively. That is,
for Carl: 3/4 × (840 + M) = 630 + 3M/4
The remaining amount = (840 + M) - (630 + 3M/4)
Amount = 210 + M/4
for Daisy: 3/5 × M = 3M/5
The remaining amount = M - 3M/5
Amount = 2M/5
Daisy was then left with $60 more than Carl. Then,
2M/5 = 60 + 210 + M/4
2M/4 = 270 + M/4
Collect the like terms
2M/4 - M/4 = 270
M/4 = 270
M = 4 × 270
M = 1080 dollars
Since Carl had $840 more than Daisy, Carl amount = 840 + 1080
Carl amount = 1920 dollars
Therefore, Carl had 1920 dollars at first.
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21x^7y^7z^4+31x^4y^4 21x 7 y 7 z 4 +31x 4 y 4
Factor completely using GCF
The factored expression of 21x^7y^7z^4 + 31x^4y^4 is x^4y^4(21x^3y^3z^4 + 31)
How to factor the expression completely?The expression is given as
21x^7y^7z^4 + 31x^4y^4
Express the above expression as a product
So, we have
21x^7y^7z^4 + 31x^4y^4 = 21x^3y^3z^4 * x^4y^4 + 31 * x^4y^4
Factor out x^4y^4
So, we have
21x^7y^7z^4 + 31x^4y^4 = x^4y^4(21x^3y^3z^4 + 31)
Hence, the factored expression of 21x^7y^7z^4 + 31x^4y^4 is x^4y^4(21x^3y^3z^4 + 31)
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HELP ASAP I DON'T UNDERSTAND
Answer:
option 3
Step-by-step explanation:
4x² - 100 = 0 ( add 100 to both sides )
4x² = 100 ( divide both sides by 4 )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
then
x = - 5 , x = 5
Solve for d.
-6 + d = 7 + 3d + 3
d = [
Submit
Answer:
so if add everything and subtract them for d you get 7
Find the distance between each pair of points.
(21,5) and (28,-1)
Answer:
9.22 units (3 s.f.)
Step-by-step explanation:
The distance between a pair of points can be found using the distance formula shown below, where [tex](x_1, y_1)[/tex] is the 1st coordinate and [tex](x_2,y_2)[/tex] is the 2nd coordinate.
[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
Substituting the coordinates into the formula:
Distance between (21, 5) and (28, -1)
= [tex]\sqrt{(-1-5)^{2} + (28-21)^{2} } }}[/tex]
= [tex]\sqrt{(-6)^2+7^2}[/tex]
= [tex]\sqrt{85}[/tex]
= 9.22 units (3 s.f.)
Additional:
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Jorge works as a car salesman. He gets a commission of 3.5% on used cars and 191
5.4% on new cars. What was his commission for a month when he sold used cars
for a total of $16,583 and new cars for a total of $34,792?
The total commission of Jorge was $2459.173.
What is the percentage?Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) besides a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%. To calculate a percentage, divide the value by the total value and multiply the result by 100. (value/total value)100% is the formula for calculating the percentage.So,
3.5% commission of used cars.5.4% commission on new cars.Now,
3.5% of $16,583
16,583/100 × 3.5 = $580.4055.4% of $34,792
34,792/100 × 5.4 = $1,878.768Total commission: $580.405 + $1,878.768 = $2459.173
Therefore, total commission of Jorge was $2459.173.
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Please hurry , Will give brainliest to anybody . Very simple question !!!
Answer:
Step-by-step explanation:
The left option
(4,3), (1,3), (0,5), (1,8)
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-2, 5) \text{ and } (-8, -3)
(−2,5) and (−8,−3)
The distance between the two points ( − 2 , 5 ) and ( − 8 , − 3 ) is 10 units.
We are given the two points:
( − 2 , 5 ) and ( − 8 , − 3 )
We need to find the distance between the two points.
The formula for distance is given as:
Distance = √ (x₂ - x₁)² + (y₂ - y₁)²
Substituting the values, we get that:
Distance = √ ( - 8 + 2 )² + (- 3 - 5)²
Distance = √ ( - 6 )² + ( - 8 )²
Distance = √ 36 + 64
Distance = √ 100 .
Distance = 10 units.
Therefore, we get that, the distance between the two points ( − 2 , 5 ) and ( − 8 , − 3 ) is 10 units.
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Need help with this equation: y(a - b) =c(y + a), solve for y
Answer:
[tex]y = \frac{ac}{a - b - c} [/tex]
The straight line depreciation equation for a car is y=-3680 +39500
Finding the numeric value of the function, it is found that the car is worth $24,780 after 4 years.
What is the problem?This problem is incomplete, but researching it on a search engine, we have that:
The straight line depreciation equation for a car is y = -3680x + 39500.
It asks the value of the car after 4 years.
How to find the numeric value of a function?The numeric value of a function is found replacing each instance of x by the value that we want to find.
For this problem, means that the value of the car after x years is given by:
y = -3680x + 39500.
Hence, after 4 years, the value is:
y = -3680(4) + 39500 = $24,780.
The car is worth $24,780 after 4 years.
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Complete the table
kilometers
1
5
20
0.3
meters
1,000
5 kilometers equals how many meters?
Fill in the blank.
The coordinate of point H, the midpoint of DE, is 5. If the coordinate of D is greater than the coordinate of E. and DE = 24. then the coordinate of D is Blank
Answer:
D has the coordinate 17
Step-by-step explanation:
Given
DE has as the mid point H at 5
D > E
DE = 24
Find the coordinate of D
5 + (24/2) = 5+12 = 17
Factors estimate 5,897 times 67
Factors estimate 5,897 times 67
The estimate product of the factors 5897 times 67 is 383500.
We have to use strategies to estimate the products.
We can round each factor to the greatest place value which is the place value farthest to the left.
we can use compatible numbers.
compatible numbers are friendly numbers they are easy to compute numbers.
Given 5897[tex]\times[/tex]67=395099
This is the actual factor
But the estimation product is
We use mental math and compatible numbers here.
step1: 5900[tex]\times\\[/tex]70=413000
step2:5900[tex]\times[/tex]65=383500
Both the step1 and step2 are reasonable because the factor are close to the actual factor.
But 5900[tex]\times[/tex]65=383500 is better because it is very close to the actual factor compared to 5900[tex]\times\\[/tex]70=413000.
Therefore, The estimate product of the factors 5897 times 67 is 383500.
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it took andrea 1.8 hours to drive to her mother's house on saturday morning. on her return trip on sunday night, traffic was heavier, so the trip took her 2 hours. her average speed on sunday was 5 mph slower than on saturday. what was her average speed on saturday?
Answer:
45mph
Step-by-step explanation:
What is the domain of the relation {(-3, 3), (–1, 0), (6, 3), (9, -2)}?
(3, 6, 9)
(-3,-2, -1)
(-2, 0, 3)
(-3,-1, 6, 9)
Answer:
Domain { -3,-1,6,9}
Step-by-step explanation:
The domain is the input values
Domain { -3,-1,6,9}
Para encriptar un
mensaje secreto se
va a utilizar una
clave privada que
es el producto de
dos números
primos. ¿Cuál de
los números NO
puede usarse para
la clave privada?
A.105
B.133
c.143
D.221
Answer:
c.143
Step-by-step explanation:
No estoy seguro de que esté Mal o mal