Answer:
3.35
Step-by-step explanation:
5,000,000*6.7 * 10^-7
= 5 * 10^6 * 6.7*10^-7
= 33.5 * 10^-1
= 3.35
The weight of 5 million grains of sand is 3.35 kg.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Weight of each grain of sand = 6.7 x [tex]10^{-7}[/tex] kg
Weight of 5 million grains of sand.
= 5,000,000 x 6.7 x [tex]10^{-7}[/tex] kg
= 5 x [tex]10^6[/tex] x 6.7 x [tex]10^{-7}[/tex]
= 33.5 x [tex]10^{-1}[/tex] kg
= = 3.35 kg
Thus,
The weight of the total grain of sand is 3.35 kg.
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43.3(blank) subtract 12.82 I’m giving off 20 points for this
On subtracting 12.82 from 43.3 we get 30.48 as answer.
How to subtract decimal numbers?
Write down decimal numbers such that the number from which you have to subtract is written first and number which you have to subtract from the fist number is written just below it such that the decimal is just lined below another decimal
For example if we have to subtract 4.2 from 12.8
we write it like 1 2 . 8
- 0 4 . 2
______
0 8 . 6 and the starting from right start subtracting
Given 43.3-12.82
4 3 . 3 0
- 1 2 . 8 2
_______________
3 0 . 4 8
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the values listed in the csv filewaitingtimesare waiting times (in minutes) ofcustomers at the bank a, where customers enter a single waiting line that feedsthree teller windows. construct a 95% confidence interval for the populationstandard deviationσ.
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
What does the population mean in terms of standard deviation?A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.
According to the given data:Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}
Sample size n = 10
Applying chi-square statistics with df=n-1=9-1=8
now 95% confidence interval is given by:
= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]
= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]
= 0.107 ≤ σ² ≤ 0.757
= 0.33 ≤ σ ≤ 0.87
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
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I understand that the question you are looking for is:
The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.
6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7
the graph of the parabola y=1/4(x+2)^2-6 is shown on the coordinate plane below according to the graph for which values of x is y always positive ?
Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)
Step-by-step explanation:
[tex]\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\[/tex]
Multiply both parts of the equation by 4:
[tex](x+2)^2 > 24[/tex]
Extract the square root of both parts of the inequality:
[tex]|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}[/tex]
Expand the modulus - we get a set of inequalities:
[tex]\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\[/tex]
Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:
[tex]\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.[/tex]
Thus,
[tex]x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)[/tex]
f(x)=6x+5 , g(x)=−f(x) , and h(x)=f(−x) .
The domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.
The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.
So, the domain will be all real numbers, except for those that make g(x)=0.
g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.
Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.
Therefore, we get that, the domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.
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Your question was incomplete. Please refer the content below:
Given f (x) = x2 + 6x + 5 and g(x) = x3 + x2 − 4x − 4, find the domain of f over g of x period
{x ∈ ℝ}
{x ∈ ℝ| x ≠ −5}
{x ∈ ℝ| x ≠ −1, −2, 2}
{x ∈ ℝ| x ≠ −2, 2}
The line with slope of - 2/5 passing through the point (-1,-1)
(14+24i)-(26-3i)+10i(11+11i) in standard form
Answer:
Step-by-step explanation:
14+24i-26+3i+110+100i
A-98+137i
Classifi the following sequence as either arithmetic or geometric. then state the common difference or ratio and find the missing terms 64,-32,16,-8
The sequence is in geometric series. Common ration= - 1/2, missing number i.e., the 5th term = 4
An arithmetic series is one where each term is equal to the one before it plus some number. Whereas a geometric series is one where each term equals the one before it multiplied by a certain value.
Here the sequence is Geometric series as from the sequence we are getting the common ratio.
Common ratio = [tex]\frac{-32}{64}[/tex] = [tex]\frac{16}{-32}[/tex] = -[tex]\frac{1}{2}[/tex]
Now we have to find the 5th term of the sequence.
We know the formula to find the nth term of the geometric series which is:
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
[tex]a_{5}[/tex] = 64 [tex](\frac{-1}{2} )^{4}[/tex]
[tex]a_{5}[/tex] = 64/16
= 4
Therefore the missing number is 4.
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Divide. (6×1011)÷(3×1015) 2×10−12 times 10 inverse 2×10−72 times 10 to the negative 7 power 2×10−42 times 10 to the negative 4 power 2×100
The value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Division can be interpreted as an equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex] = a divided in b equal parts.
WE have been given that (6×10^11)÷(3×10^15) .
Simplify;
(6×10^11)÷(3×10^15)
To solve the exponent first;
10^11 - 15 = 10^-4
Now we get;
(6 )÷(3×10^-4)
2 ×10^4 = 2 ×10 ×10×10×10
= 20,000
Hence, the value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.
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Write an equation and
Isolve for x if the area
of the rectangle is 70
square units.
The linear equation for the area is:
40 = 7*(x + 4)
The solution is x = 1.71 = x
How to write and solve the equation?Remember that for a rectangle of length L and width W, the area is:
A = L*W
In this case, we can see that:
W = 7
L = x + 4
A = 70
Replacing that, we can get the linear equation:
40 = 7*(x + 4)
Now we can solve this, we jus need to isolate x.
40/7 = x + 4
40/7 - 4 = x
5.71 - 4 = x
1.71 = x
The solution is x = 1.71 = x
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Swine flu is attacking porkopolis. the function s ( t ) = 10 t + 8 determines how many people have the swine flu at a given time where t is in days and s ( t ) is the number of people in hundreds. evaluate s ( 16 )
What equation is equivalent to the equation 5x + 30 = 45?
5x+30=45
tkae the 30 to the other side and it becomes
5x=45-30
that gives you 15. then you want to divide 5 by 15
and then that gives you 3
x=3
Hope this helps you!
The total height of 6 layers of wedding cake is 80 cm 4 mm. What is the height of each layer?
Answer: 13 cm 34 mm
Step-by-step explanation:
(80 cm 4 mm) * 1 layer/6 layers=
(80 cm 4 mm) * 1/6=
(80 cm 4 mm)/6=
(80 cm+4 mm) * 1/6=
80 cm/6 + 4 mm/6=
80/6 cm + 4/6 mm=
(78+2)/6 cm + 2/3 mm=
78/6 cm + 2/6 cm + 2/3 mm=
13 cm + 2/6 * 1000 mm + 2/3 mm=
13 cm + 1/3 * 1000 mm + 2/3 mm=
13 cm + 1000/3 mm + 2/3 mm=
13 cm+1002/3 mm=13 cm 34 mm
1. Caroline practices piano as much as 2 hours a day Monday through Thursday, and she practices up to 3 hours on Sunday. Write an inequality to show the number of hours that she practices in one week.
Step-by-step explanation:
2 hours a day for M-Th would be 8 hours. Sunday >up to< 3 hours. In 1 week, you'd have the 4 days ×2hrs ea day plus the 3hrs from Sunday... In one week she (assuming she did the full 3hrs) would have done 11hrs of piano practice. Not sure completely what to do but that's my first part that I do to figure it out if that helps any...
international travel is usually more expensive than domestic travel. a recent survey found that the average per-person cost of a 12-day international vacation is $1,755. this includes transportation, food, lodging, and entertainment.
Answer:
a. 7.78%
b.
c. lower
Step-by-step explanation:
Put the images below according to the sequence that the solar system formed. The last one is done for you.
Step-by-step explanation:
1. Cloud of Dust and gas
2. solar system formation
3. spinning disc
4. early solar system today
ill give you crown if you answer this right btw its a fraction
Answer:
3/1
Step-by-step explanation:
Beginning from 10, you count upward until you come across a point that's directly underneath a number to the x-axis.
In this case, you'd go upward 3 times, locating the y-axis at 30.
Then you would go either left or right and count how many times you do that.
In this case, you'd go right 1 time, locating the x-axis at 10.
Hence, the slope would be rise over run, or y over x.
In this case, the slope would be 30/10.
To simplify that, it would be 3 over 1.
To simplify it even more, it would just be 3.
Hope this helps.
Ms. Rivera has 134 crayons. About how many
crayons does she have? Round to the nearest 100.
Answer:
she has 130 crayons 100 crayons divided by 2 = 50 crayons each divide 30 by 2 =15
then she has the four crayons left divide those by 2
how do i find s??? I'm legit crying help.
Applying the exterior angle theorem, the value of s in the triangle is: 74.
How to Apply the Exterior Angle Theorem?In the image shown above, the angles, s - 44° and s° are interior opposite angles to the exterior angle of the triangle that is given as s + 30°.
Based on the exterior angle theorem, the sum of s - 44° and s° is equal to s + 30°.
Therefore:
s - 44 + s = s + 30 [exterior angle theorem]
Combine like terms
2s - 44 = s + 30
2s - 44 - s = s + 30 - s [subtraction property of equality]
s - 44 = 30
s - 44 + 44 = 30 + 44 [addition property of equality]
s = 74
Therefore, applying the exterior angle theorem, the value of s in the triangle is: 74.
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Select a number to make the following statement true.
0.07 is 10 times as great as
A. 0.1
B. 0.7
C. 0.001
D. 0.007
Answer:
D
Step-by-step explanation:
a×10=0.07
a=0.07/10
=0.007
Answer:
D
Step-by-step explanation:
0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07
Los extranjeros ilegales ingresan a los Estados Unidos a una tasa de 200 cada día. Alrededor de 25000 son
aprendidos cada año.
¿Cuántos:
a) son aprendidos cada semana?
b) extranjeros ilegales permanecen en el país cada día, de acuerdo a estas
estimaciones?
Usando proporciones, los números se dan de la siguiente manera:
a) 1400 personas.
b) 132 personas al dia.
¿Qué es una proporción?Una proporción es una fracción de una cantidad total, y las medidas se relacionan usando una regla de tres. Debido a esto, se pueden construir relaciones entre variables, ya sea directas (cuando ambas aumentan o ambas disminuyen) o inversamente proporcionales (cuando una aumenta y la otra disminuye, o viceversa), para encontrar las medidas deseadas en el problema, o ecuaciones para encontrar estas medidas.
En este problema, hay que:
200 personas son aprendidas a cada día.En una semana hay 7 dias.Así, la candidad de personas aprendidas cada semana es:
7 x 200 = 1400 personas.
Por año, el número de personas que llega sin ser aprendida es dada por:
365 x 200 - 25000 = 48,000.
Por día, esta cantidad es dada por:
48000/365 = 132 personas al dia.
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NEED HELP URGENT WILL GIVE EXTRA POINTS AND BARINLIEST
X=[?]
Answer: x=30 degrees
Step-by-step explanation:
The lines form two triangles which form a larger triangle.
The larger triangle has two known degree measures which are two 60 degree angles. The missing angle is the sum of the two X's. Triangles add up to 180 degrees.
180=60+60+x+x
180=120+2x
2x+120-120=180-120
2x=60
2x/2=60/2
x=30 degrees
Answer:
30
Step-by-step explanation:
180- (60+60)=60/2
find the volume of the parallelepiped with adjacent edges pq, pr, and ps. p(−2, 1, 0), q(3, 4, 3), r(1, 4, −1), s(3, 6, 4)
The volume of the Parallelepiped with adjacent edges pq, pr,and ps = 136
Geometrically, the Scalar triple product:
[tex]{\displaystyle \mathbf {a} \cdot (\mathbf {b} \times \mathbf {c} )} \mathbf{a}\cdot(\mathbf{b}\times \mathbf{c})[/tex]
is the (signed) volume of the parallelepiped defined by the three vectors given. Here, the parentheses may be omitted without causing ambiguity, since the dot product cannot be evaluated first. If it were, it would leave the cross product of a scalar and a vector, which is not defined.
Given three vectors, there is a product, called scalar triple product, that gives , the volume of the parallelepiped that has the three vectors as dimensions.
So,
Given : p(-2,1,0) , q(3,4,3), r(1,4,-1), s(3,6,4).
pq = ( -2-3 ,1-4 ,0-3) = (-5,-3,-3)
pr= (-2-1, 1-4, 0+1) = (-3,-3,1)
ps= ( -2-3, 1-6, 0-4) = (-5,-5,-4)
pq = (-5 , -3 , -3)
pr = (-3, -3, 1)
ps= (-5, -5, -4)
The scalar triple product is given by the determinant of the matrix (3×3)
that has in the rows the three components of the three vectors:
[tex]\left[\begin{array}{ccc}-5&-3&-3\\-3&-3&1\\-5&-5&-4\end{array}\right] \\\\-5(12+5)-3(12+5)-3(15-15)\\-5(17)-3(17)-3(0)\\-85-51\\-136\\[/tex]
So, The volume never be negative then by applying vector
v = |-136|
v= 136
the volume of the parallelepiped with adjacent edges pq, pr,and ps = 136
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What is the greatest common factor of 16 , 24 , 48
Answer:
8
Step-by-step explanation:
The biggest common factor number is the GCF number. So the Greatest Common Factor 16, 24, 48 is 8.
please make my answer as brainelist
5. Which is the vertex of the quadratic function f(x) = 2x² - 4x - 6?
(-1,8)
O (1,8)
O (1,-8)
O(-1,-8)
The given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8). Thus, the correct option is option C.
A quadratic polynomial function is a function which may be written in the form of ax² + bx + c = 0 where a, b and c are coefficients and x is the variable of the function. The quadratic polynomial function forms a parabola when plotted on the graph.
To find the vertex to the quadratic polynomial function we determine the value of x coordinate by the formula (-b/2a) and substitute the value of x in the polynomial function to get the value of y coordinate.
f(x) = 2x² - 4x - 6.
x coordinate = (-b/2a)
x = (4/2×2)
x = 4/4
x = 1
Now, the value of y coordinate = 2(1)² - 4(1) - 6
y = -8.
Thus, the given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8).
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Which ordered pair is not included in a graph y = 2x + 5? Group of answer choices (0, 0) (1, 7) (0.5, 6) (2, 9)
Answer:
All of the given ordered pairs are correct\included.
Step-by-step explanation:
Samantha works on the weekends doing hair for her classmates.For every head she does ,she charges 26$ complete the table
Answer:
Charge 26, 78, 130, 182, 234
Step-by-step explanation:
If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.
I hope it helps!
~XxBells is a cute girlxX~
A gardener spread 3 4/5 bags of mulch evenly over his 2 equal-sized vegetable beds. How
much mulch did he put on each vegetable?
Therefore 1 9/10 bag of mulch is put on each vegetable bed.
Given a gardener spread 3 4/5 bags of mulch evenly over his 2 equal-sized vegetable beds.
We need to find how much he put on each vegetable bed as
Let the number of bags of mulch put on each vegetable bed be x
∴ 2 * x = 3 4/5
2 x = 19 / 5
x = 19 / 10
x = 1 9/10 bag
Therefore 1 9/10 bag of mulch is put on each vegetable bed.
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Several students attempted to solve the system of equations and . Which one is correct? An image of a coordinate plane shows two lines. A line labeled negative 2x plus y equals 4 crosses the x-axis at (negative 2, 0) and the y-axis at (0, 4). A line labeled x plus y equals 1 crosses the y-axis at (0, 1) and the x-axis at (1, 0). The lines intersect at a point that is one unit left of the origin and two units up from the origin. The solution is . An image of a coordinate plane shows two lines. A line labeled negative 2x plus y equals 4 crosses the y-axis at (0, 4) and the x-axis at (2, 0). A line labeled x plus y equals 1 crosses the x-axis at (negative 1, 0) and the x-axis at (1, 1). The lines intersect at a point that is 1 unit right of the origin and 2 units up from the origin. The solution is . An image of a coordinate plane shows two lines. A line labeled negative 2x plus y equals 4 crosses the y-axis at (0, 4) and the x-axis at (2, 0). A line labeled x plus y equals 1 crosses the x-axis at (negative 1, 0) and the y-axis at (0, 1). The lines intersect at a point that is 1 unit right of the origin and 2 units up from the origin. The solution is . An image of a coordinate plane shows two lines. A line labeled negative 2x plus y equals 4 crosses the x-axis at (negative 2, 0) and the y-axis at (0, 4). A line labeled x plus y equals 1 crosses the y-axis at (0, 1) and the x-axis at (1, 0). The lines intersect at a point that is one unit left of the origin and two units up from the origin. The solution is .
considering all the various sources of caffeine, it is estimated that 80 percent of americans regularly use caffeine in some form, and that the average intake is blank per day.
With regard to all the different sources of caffeine, it really is estimated that 80 percent of Americans frequently consume caffeine in some way, with an average daily intake of 200–250 mg.
Caffeine:A methylxanthine class stimulant, caffeine stimulates the central nervous system. It is employed as a cognitive enhancer to improve alertness and attentional function. In order to increase the release of the neurotransmitters acetylcholine, caffeine works by preventing adenosine from binding to the adenosine A1 receptor.
What alters caffeine's effects on the body?Because caffeine is a stimulant, it makes your nervous system and brain work harder. Additionally, it causes a greater flow of hormones like cortisol and adrenaline throughout the body. Caffeine can help you feel energized and alert in small doses.
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I understand that the question you are looking for is:
Considering all the various sources of caffeine, it is estimated that 80 percent of Americans regularly use caffeine in some form, and that the average intake is ______ per day.
Which equation has the solution x = 2
A.) 2x - 3 = 19 B.) 3x + 2 = 18 C.) 4x - 4 = -4 D.) 5x + 1 = 10
[tex]a)2x - 3 = 19 \\ = > 2x = 19 + 3 \\ = > x = \frac{22}{2 } \\ = > x = 11 \\ b)3x + 2 = 18 \\ = > 3x = 18 + 2 \\ = > 3x = 20 \\ = > x = \frac{20}{3} \\ = > x = 6.66666667 \\ c)4x - 4 = - 4 \\ = > 4x = - 4 + 4 \\ = > x = \frac{0}{4} \\ x = 0 \\ d)5x + 1 = 10 \\ = > 5x = 10 - 1 \\ = > 5x = 9 \\ = > x = \frac{9}{5} \\ x = 1.8[/tex]
therefore 1.8 =2 or x is not equal to 2