Answer:
1.833 x 10^(-5)
Step-by-step explanation:
When dividing in S.N., divide the coefficients and subtract the exponents
1.67 ÷ 9.11 = 0.183
10^(-7) ÷10^(-3) = 10^(-4)
1.833 x 10^(-5)
\(\tt(1.67 \times 10 ^ { -7 } ) \div (9.11 \times 10 ^ { -3 } )\)
To divide exponents with the same base, we must subtract the exponents from the numerator & the denominator.
\(\tt\frac{1.67}{9.11\times 10^{4}} \)
\(\tt\frac{1.67}{9.11\times 10000} \)
\(\tt\frac{1.67}{91100} \)
\(\boxed{\tt\frac{167}{9110000}\approx 0.000018332}\)
So, 0.000018332 = 1.8832×10^(−5)
Hope it helps ⚜
a product must pass an initial inspection, where the probability that it will be rejected is 0.4. if it passes this inspection, it also must pass a second inspection where the probability that it will be rejected is 0.3. what is the probability that it will pass both inspections?
Therefore, the probability that the product will pass both inspections is 0.42.
To find the probability that the product will pass both inspections, we need to multiply the probabilities of passing each inspection:
P(passing both inspections) = P(passing first inspection) * P(passing second inspection | passed first inspection)
The probability of passing the first inspection is 1 - 0.4 = 0.6 (since the probability of rejection is 0.4).
The probability of passing the second inspection, given that the product passed the first inspection, is 1 - 0.3 = 0.7 (since the probability of rejection is 0.3).
So, we have:
P(passing both inspections) = 0.6 * 0.7 = 0.42
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A wheel of radius 26 inches is rotating 25
∘
per second. Find the following: The linear speed in inches per second = :: help (numbers) The angular speed in RPMs (Revolutions per minute) =:; help (numbers) The angular speed in radians per second = :: help (numbers)
The angular speed of the wheel is approximately 0.436 radians per second.
The linear speed in inches per second, we can use the formula:
Linear speed = radius × angular speed
The radius of the wheel is 26 inches and the wheel is rotating at 25 ∘ per second, the linear speed is :
Linear speed = 26 inches × 25 ∘ per second
= 650 inches per second
Therefore, the linear speed of the wheel is 650 inches per second.
For the angular speed in RPMs (Revolutions per minute), we need to convert the given angular speed from degrees per second to revolutions per minute.
Since there are 360 degrees in a revolution, we can calculate the angular speed in RPMs using the following formula:
Angular speed in RPMs = (Angular speed in degrees per second × 1 minute) / 360 degrees
The angular speed is 25 ∘ per second,the angular speed in RPMs is:
Angular speed in RPMs = (25 ∘ per second × 1 minute) / 360 degrees
= 25/360 RPM
= 0.069 RPM (rounded to three decimal places)
Therefore, the angular speed of the wheel is approximately 0.069 RPM.
For the angular speed in radians per second, we need to convert the given angular speed from degrees per second to radians per second.
Since there are 2π radians in a circle (360 degrees), we can calculate the angular speed in radians per second using the following formula:
Angular speed in radians per second = (Angular speed in degrees per second × 2π radians) / 360 degrees
The angular speed is 25 ∘ per second,the angular speed in radians per second is:
Angular speed in radians per second = (25 ∘ per second × 2π radians) / 360 degrees
= (25 × 2π) / 360 radians per second
= 0.436 radians per second (rounded to three decimal places)
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Let (X,T) be a subspace of (Y,T ∗
) and let (Y,T ∗
) be a subspace of (Z,T ∗∗
). Show that (X,T) is also a subspace of (Z,T ∗∗
).
Let's take the subspace (X,T) of (Y,T*), where (Y,T*) is a subspace of (Z,T**). Here, we are required to show that (X,T) is also a subspace of (Z,T**). Let's start our proof.
To show that (X,T) is a subspace of (Z,T**), we must show that (X,T) satisfies the subspace axioms. The subspace axioms that must be satisfied are:
1. The zero vector, 0, is in (X,T).
2. If u and v are in (X,T), then u + v is also in (X,T).
3. If u is in (X,T) and a is a scalar, then au is also in (X,T).
So, let's prove each axiom for (X,T) to be a subspace of (Z,T**):
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(Factorize it)
Here it is:
Answer:
D: (x^2 + 3x + 9) (x^2 - 3x + 9)
-
G: (x^2 + 3x + 5) (x^2 - 3x + 5)
Answer:
\(d) \: \: ( {x}^{2} + 3x + 9)( {x}^{2} - 3x + 9)\)
\(g) \: \: ( {x}^{2} + 2x + 5)( {x}^{2} - 2x + 5)\)
Step-by-step explanation:
Hope it is helpful....
The square below represents one whole.
What percent is represented by the shaded area?
Answer:
I think it is 13%
Step-by-step explanation:
I think this since there are 100 Square Units so if there are 13 shaded it would be \(\frac{13}{100}\) which equals to 13%
IF THIS IS WRONG IM SOO SUPER DUPER VERY SORRY
Help on this please comeeeee onnn
D. \((6v, -3v)\)
Almost every sound that you hear, with the exception of the actors' voices, is an effect added after the film or television show has been shot. select one: true false\
The statement almost every sound that you hear, with the exception of the actors' voices, is an effect added after the film or television show has been shot" is false because sound in film and television is a combination of both production sound (recorded during filming) and post-production sound (added after filming).
What is sound?
Sound is a form of energy that travels through a medium, typically air, as a series of compressions and rarefactions. It is caused by vibrations or disturbances, which generate waves that can be detected by the human ear and perceived as auditory sensations.
While some sounds, such as dialogue, are captured during the production stage, other sounds like background noises, ambiance, special effects, and music are often added or enhanced during post-production to create a more immersive and polished audio experience.
During filming, production sound technicians record dialogue and other necessary sounds using microphones on set. However, due to various challenges like background noise, microphone limitations, or the need for artistic control, additional sounds are typically added or modified in post-production.
Sound designers, foley artists, and audio engineers work to create and enhance sound effects, atmosphere, and music to complement the visuals and enhance the storytelling.
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Find the radius of a circle with a circumference of 15π m.
Answer:
7 1/2 m
Step-by-step explanation:
C = πd
in this problem, d = 15 which means that r = 15/2 or 7 1/2
if the demand curve shifts to the left, what happens to price and quantity?
Answer:
A lower price and quantity would result.
A plant grows at a constant rate of __ cm per day.
A. write a direct variation equation for the height Y a plant will grow in X days. ___
B. What will be the height of a plant in 9 days? __
C. if the height of the plant is 21 cm, how many days has the plant been growing?
Plant grows at 3CM per day
equation: y= 3x
21 is y so 21= 3x. divide by 3 so it's been 7 days
What are the main themes of the epic poem?
The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.
Epic poem
An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.
'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.
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Which real-world scenario can be described by the algebraic expression 4w?
A. withdrawing w dollars from the bank and giving 4 dollars to a friend
B. buying w items that cost $4 per item
C. buying w items and dividing them among 4 friends
C. buying w items and giving 4 of them to a friend
Answer:
d
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
it is b i got a 100 edge
a group of 9 people is going to be formed into committees of 4, 3, and 2 people. how many committees can be formed if
There are 20 different combinations of committees that can be formed since no person can serve on more than one committee.
In order to form committees of 4, 3, and 2 people, we must first determine how many combinations are possible. There are 9 people in total, so the first committee must consist of 4 people. That leaves 5 people. The second committee must consist of 3 people, leaving 2 people for the final committee. To calculate the total number of combinations, we must multiply the number of choices for each committee. For the first committee, there are 9C4 combinations, for the second committee there are 5C3 combinations, and for the third committee there are 2C2 combinations. Multiplying these together, we obtain 9C4 x 5C3 x 2C2 = 20 combinations. Therefore, there are 20 different combinations of committees that can be formed since no person can serve on more than one committee.
The complete question: A group of 9 people is going to be formed into committees of 4, 3, and 2 people. How many can be formed if no person can serve on more than one committee?
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PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
I think it would be 113.04
Step-by-step explanation:
cylinder = b h = pi r 2 h
if 2 kg of potatoes cost £8.10, find the cost of 1 kg of potatoes
Answer:
£4.05
Step-by-step explanation:
1kg of potatoes= 8.10 divided by 2=£4.05
The average age of 15 students is 16 years. If teacher’s age is included the average increases
by 1. Find teacher’s age
31
because 15 +16 :31
\(. = y1 = \times \)
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+163x+148
Answer:
x=5.09 seconds (times at max)
Step-by-step explanation:
The time at which the height of the rocket is maximum is 5.09 seconds and the maximum height is 563.14 feet.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
A rocket is launched from a tower.
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
The quadratic equation is given below.
\(\rm y=-16x^2+163x+148\)
Differentiate the equation with respect to x, then we have
\(\rm y' = \dfrac{dy}{dx}=\dfrac{d}{dx}(-16x^2+163x+148)\\\\y' =-32x + 163\)
For y' = 0, then we have
32x = 163
x = 5.09
Then the maximum value of the rocket will be
\(\rm y=-16(5.09)^2+163(5.09)+148\\\\y = - 414.53 + 829.67 + 148\\\\y = 563.14\ ft\)
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Moe painted the lid of the barrel. The circumference of the barrel is 32*3.14 inches. What is the area of the lid in square inches?
Answer: 803.84 inch²
Step-by-step explanation:
The lid will take the appearance of a circle so the area of the lid is the same as the area of a circle:
Area of a circle = π * radius²
The circumference of a circle is:
= π * diameter
Looking at the above, the diameter is 32inches because this is the figure to be multiplied with π = 3.14 to find the circumference.
Since diameter is 32, radius will be:
= 32 / 2
= 16 inches
Area = 3.14 * 16 * 16
= 803.84 inch²
Justin paid
$10. 47
for a
6. 08
-
kg
bag of dog food. A few weeks later, he paid
$13. 88
for a
7. 48
-
kg
bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Unit price for the
6. 08
-
kg
bag:
$perkg
Unit price for the
7. 48
-
kg
bag:
$perkg
The better buy:The
6. 08
-
kg
bagThe
7. 48
-
kg
bagNeither (They have the same unit price)
The Unit-Price for first-bag is $1.72/kg and for second-bag is $1.86/kg, then the first-bag is cheaper compared to the second-bag with a unit-price.
The "Unit-Price" refers to the cost of dog food per kilogram. It is calculated by dividing the "total-cost" of the bag of dog-food by its weight in kilograms.
⇒ For the first bag of dog food:
The Cost is = $10.47,
The Weight is = 6.08 kg,
So, the Unit-Price is = Cost/Weight = $10.47/6.08 kg ≈ $1.72/kg,
⇒ For the second bag of dog food:
The Cost is = $13.88,
The Weight is = 7.48 kg,
So, the Unit Price will be = Cost/Weight = $13.88/7.48 kg ≈ $1.86/kg,
Based on the "unit-prices" calculated, the first bag of dog food has a unit price of $1.72 per kilogram, and the second bag has a unit price of $1.86 per kilogram.
Therefore, the first bag of dog food is the better-buy as it is cheaper compared to the second bag.
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The given question is incomplete, the complete question is
Justin paid $10.47 for a 6.08-Kg bag of dog food. A few weeks later, he paid $13.88 for a 7.48-kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Determine the equation of the tangent plane and normal line of
the curve f(x,y,z)=x2+y2-2xy-x+3y-z-4 at p(2,
-3, 18)
To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.
Taking the partial derivatives with respect to x, y, and z, we have:
fx = 2x - 2y - 1
fy = -2x + 2y + 3
fz = -1
Evaluating these partial derivatives at the point P(2, -3, 18), we find:
fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9
fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7
fz(2, -3, 18) = -1
The equation of the tangent plane at P is given by:
9(x - 2) - 7(y + 3) - 1(z - 18) = 0
Simplifying the equation, we get:
9x - 7y - z - 3 = 0
To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:
x = 2 + 9t
y = -3 - 7t
z = 18 - t
where t is a parameter representing the distance along the normal line from the point P.
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SOMEONE PLS HELP ME FIND THE AREA OF THIS COMPOSITE FIGURE. ILL GIVE BRAINLIEST!
write the following expression without negative exponents and without parentheses (-9x)^-2
The value of the expression is 1/(9x)^2
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
(-9x)^-2
We can write the expression without negative exponents by using a fraction with a positive exponent:
(-9x)^-2 = 1/(-9x)^2
And without parentheses, this expression becomes:
1/(9x)^2
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I need to find the surface area. it's a cut sphere with a diameter of 14.
Given data:
The diameter of the cut sphere, D=14 in.
The radius of the cut sphere is,
\(\begin{gathered} r=\frac{D}{2} \\ r=\frac{14}{2} \\ r=7\text{ in} \end{gathered}\)The cut sphere is called a hemisphere.
The surface area of a sphere is
\(A_1=4\pi r^2\)So, the lateral surface area of a hemisphere is half the surface area of sphere. Therefore, the lateral surface area of a hemisphere is,
\(\begin{gathered} A_2=\frac{4\pi r^2}{2} \\ A_2=2\pi r^2 \end{gathered}\)The hemisphere has a lateral surface and a circular surface. The area of the circular surface is,
\(A_3=\pi r^2\)Therefore, the total area of the hemisphere is,
\(\begin{gathered} A=A_2+A_3 \\ A=2\text{ }\pi r^2+\pi r^2 \\ A=3\text{ }\pi r^2 \end{gathered}\)The total surface area of a hemisphere is,
\(\begin{gathered} A_{}=3\text{ }\pi r^2 \\ A=3\text{ }\pi\times7^2 \\ A=461.8in^2 \end{gathered}\)Therefore, the total surface area of the cut sphere is 461.8 square inches.
I have a F in this class may someone help me..?
Answer:
x = -10
Step-by-step explanation:
9 x -10 = -90
in the decimal 9.85, what are the values for the numbers 5 and 8
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The school puts up fencing around an area in the shape of a hexagon for an outdoor concert. How much fencing does the school use? Round your answer to the nearest whole yard.
The school uses about
yards of fencing.
The amount of fencing is 36 yards if the school puts up fencing around an area in the shape of a hexagon for an outdoor concert.
What is a distance formula?
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
\(\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
First, we have to find the length of the hexagon by using the distance formula.
As per the graph, the coordinates of the hexagon are:
(-5, 4), (0, 6), (5, 4), (6, -2), (0, -4), and (-6, -2)
The distance between (-5, 4), (0, 6):
\(\rm d=\sqrt{(5)^2+(6-4)^2}\)
d = √29 yards
Similarly, the distance between (-5, 4) and (6, -2):
= √37 yards
And the distance between (6, -2) and (0, -4)
= √40 yards
Amount of fencing required = 2(√29+√37+√40)
= 35.58 units ≈ 36 yards
Thus, the amount of fencing is 36 yards if the school puts up fencing around an area in the shape of a hexagon for an outdoor concert.
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Answer:
36 yards
Step-by-step explanation:
Can somebody helpp ???
Answer:
Step-by-step explanation:
is that map testing
on october 1, bonnie's painting service borrows $285,000 from nationwide bank on a 4-month, $285,000, 4% note. bonnie's company has a november 30th year end. prepare journal entries for the a) issuance of the note b) adjusting entry c) repayment of note
a) Issuance of the note:
Debit Cash $285,000
Credit Notes Payable $285,000
b) Adjusting entry:
Debit Interest Expense $1,900
Credit Interest Payable $1,900
c) Repayment of the note:
Debit Notes Payable $285,000
Debit Interest Payable $1,900
Credit Cash $286,900
a) The issuance of the note:
On October 1, Bonnie's Painting Service would record the following journal entry to reflect the borrowing of $285,000 from Nationwide Bank:
Debit: Cash $285,000
Credit: Notes Payable $285,000
This entry increases the Cash account by $285,000 (representing the funds received) and creates a liability in the form of Notes Payable for the same amount.
b) Adjusting entry:
Assuming the interest expense is accrued at the end of each month, an adjusting entry would be made on November 30 to record the interest expense for two months (October and November). Assuming a 4% annual interest rate, the interest expense would be calculated as follows:
Interest Expense = Principal Amount x Annual Interest Rate x (Number of Months / 12)
Interest Expense = $285,000 x 4% x (2/12) = $1,900
The adjusting entry would be:
Debit: Interest Expense $1,900
Credit: Interest Payable $1,900
This entry recognizes the interest expense for the two-month period and creates a liability in the form of Interest Payable.
c) Repayment of the note:
On February 1 (4 months after borrowing), when Bonnie's Painting Service repays the note in full, the following journal entry would be recorded:
Debit: Notes Payable $285,000
Debit: Interest Payable $1,900
Debit: Interest Expense (for the remaining month, if applicable)
Credit: Cash $286,900
This entry reduces both the Notes Payable and Interest Payable accounts by their respective balances, and the remaining cash amount represents the repayment of the note along with any remaining interest expense. The interest expense for the final month would be recorded if the repayment occurs after November 30.
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can you solve this in 3 min?
The dot plot of the data values is added as an attachment
How to create the dot plotFrom the question, we have the following parameters that can be used in our computation:
85,88,75,100,90,90,88,72,72,79,88,85
Next, we create a frequency table
So, we have
Values Frequency
72 2
75 1
79 1
85 2
88 3
90 2
100 1
Total 12
Using the frequency table above, we create the dot plot
See attachment for the dot plot
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NEED HELP! ASAP PLEASE!
Answer:
(0,-41)
Step-by-step explanation:
You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!