The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the amount by which a bacterial cell is smaller than the amoeba cell
Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)
The length of a bacterial cell in scientific notations is 5 × 10^(- 6)
To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.
= 3.5 × 10^(- 4) / 5 × 10^(- 6)
= 0.7 × 10^(2)
= 7 × 10^(1)
Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
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When Steve woke up, his temperature was 82 F. 2 hours later it was 20 F lower. What was his temperature then?
Answer: that would make it 62 F.
Tell me the order these go in
The statements and reasons to find x in a two column proof are as detailed below.
How to carry out two column proofs?
From the given image, we can carry out the two column proof to find the value of x as;
Statement 1; ∠QWT and ∠TWX are complementary
Reason 1; Given
Statement 2; m∠QWT + m∠TWX = 90°
Reason 2; Definition of Complementary angles
Statement 3; 2x + x + 6
Reason 3; Substitution
Statement 4; 3x + 6 = 90°
Reason 4; Addition
Statement 5; 3x = 84
Reason 5; Subtraction
Statement 6; x = 28
Reason 6; Division
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11. The relationship between adult dog weight x in pounds and the daily
recommended amount of dog food y in cups is proportional.
Dog weight (lb)
Dog food (cups)
10
116
40
W|N
2
3
50
556
100
13
Write an equation for the relationship. How much dog food is
recommended for a 25-pound adult dog?
5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.
We are given that:
The relationship between x and y
We need to find the dog food for the 25-pound adult dog
The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.
x = k y
k = x / y
k = 10 / 1/6
k = 10 (6)
k = 60
Let the dog food recommended for the 25-pound adult dog be y.
Weight of the dog = x = 25 pounds
Cups of dog food recommended = y
k = 60
Using the equation for the given relationship:
25 = 60 × y
y = 25 / 60
y = 5 / 12
Therefore, 5/12 cups of dog food are recommended for a 25-pound adult dog by using the proportion.
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meaning of prime numbers
Answer:
the number which has no factors is known as prime number
Answer: numbers that have only 1 and itself as factors.
Step-by-step explanation:
a researcher finds a 94% confidence interval for the average commute time in minutes using public transit is (17.86, 27.45). what is the correct interpretation of this interval?
The correct interpretation of this result is that the researcher is 94% certain that the average amount of time spent by commuters who use the public transit system is between 17.86 to 27.45 minutes.
What is the confidence interval?The confidence interval is the average estimate, plus and minus the values obtained from the research. The two values obtained from the research represent the expected range within which the values can fall between.
In the question above, the range is between 17.86 to 27.45 minutes. The research is sure that the average about of time spent by commuters must fall within these values. The degree of certainty is 94%.
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to find earth's equatorial rotation speed, we should divide the circumference of earth by a 24 hours (1 day). to find the rotation speed at any other latitude, you need the following fact: the radial distance from earth's axis at any latitude is equal to the equatorial radius times the cosine of the latitude. (hint: when using the cosine (cos) function, be sure your calculator is set to recognize angles in degree mode, not in radian or gradient mode.) the radius of earth is 6380 kilometers.
The rotational speed is mathematically given as
Rs= 1175.16km/hr
What is the rotational speed?
Generally, the equation for The radial distance from Earth's axis at 40° latitude is mathematically given as
D = Re * cos 40
D= 6380km x 0.76604
D= 4487 km
Generally, the equation for total distance covered in one rotation is mathematically given as
T= Circumference of that latitude
T= 2 π r
T= 2 x 22/7 x 4487
T= 28,204 km
In conclusion, the equation for the rotational speed of a person at 40∘ latitudes is mathematically given as
Rs = Distance / Time
Rs= 28,204km/24hr
Rs= 1175.16km/hr
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CQ
to find earth's equatorial rotation speed, we should divide the circumference of earth by a 24 hours (1 day). to find the rotation speed at any other latitude, you need the following fact: the radial distance from earth's axis at any latitude is equal to the equatorial radius times the cosine of the latitude. (hint: when using the cosine (cos) function, be sure your calculator is set to recognize angles in degree mode, not in radian or gradient mode.) the radius of earth is 6380 kilometers.
Find the rotation speed for a person at latitude 40∘N.
Express your answer in kilometers per hour using three significant figures.
what does the highest common factor mean?
Answer:
The highest/greatest common factor in math is the highest integer out of two numbers that share the same or a very similar set of factors.
E.G
12: 1, 2, 3, 4, 6, 12
6: 1, 2, 3, 6
➲ Hope this helps!
Drag the tiles to the boxes to form correct pairs.
Match each addition operation to the correct sum
Matching of each addition operation with their correct sum is;
1) -24⁵/₉ + 30⁷/₉ → 6²/₉
2) 45²/₉ + 39³/₉ → 84⁵/₉
3) 28.98 + (-52.22) → -23.24
4) 56.75 + 75.12 → 131.87
How to carry out addition operation?1) We want to add the fractions;
-24⁵/₉ + 30⁷/₉
= -221/9 + 277/9
= ¹/₉(-221 + 277)
= 56/9
= 6²/₉
2) We want to add the fractions;
45²/₉ + 39³/₉
= 407/9 + 354/9
= 761/9
= 84⁵/₉
3) We want to add the decimals;
28.98 + (-52.22)
= 28.98 - 52.22
= -23.24
4) We want to add the decimals;
56.75 + 75.12
= 131.87
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a propositional formula of signature ???? is defined recursively as follows: - every atom is a formula - both 0-place connectives are formulas - if f is a formula then ¬f is a formula - for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula how many of the following strings are propositional formulas under the signature ????
The following strings are propositional formulas under the signature:
(i)both 0-place connectives are formulas
(ii)for any binary connective ⨀, if f and g are formulas then (f⊙g) is a formula.
What is propositional formula?A propositional formula is a particular kind of syntactic formula that is well-formed and has a truth value in propositional logic. A propositional formula yields a distinct truth value when all of the variables' values are known. A propositional formula may alternatively be referred to as a phrase, a propositional expression, or a sentential formula.
Simple statements like "five is greater than three" or propositional variables like p and q are combined to build a propositional formula using connectives or logical operators like NOT, AND, OR, or IMPLIES.
The term "proposition" is frequently used in mathematics to refer to a propositional formula, but in reality, a propositional formula is a formal expression that signifies a proposition.
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978%37=
26 R16
26 R36
26 R26
26 R6
Answer:
Assuming you meant division.
26 R16
Step-by-step explanation:
[tex]Borrow\:8\\= 97\\= 97 - 74(37 \cdot 2)\\= 23\\Drop\:the\:borrowed\:8\\= 238\\= 238 - 222(37 \cdot 6)\\= 16\\\\26\:R16[/tex]
➲ Hope this helps.
Answer:
26 R16
Step-by-step explanation:
Write the fractions and decimals
3/4
Answer:
.75
Step-by-step explanation:
the scalar product between two vectors involves which function of the angle between the lines of action of the two vectors
The scalar product between two vectors involves the cosine function of the angle between the lines of action of the two vectors.
What is the scalar product?The dot product, also known as the scalar product, is an algebraic operation that takes two sequences of numbers of equal length (often coordinate vectors) and outputs a single number. The dot product of two vectors' Cartesian coordinates is frequently used in Euclidean geometry. Although other inner products can be defined in Euclidean space, it is frequently referred to as the inner product (or, less frequently, projection product) of Euclidean space (see Inner product space for more). The sum of the products of the matching entries of the two number sequences is the dot product, according to algebra. Geometrically, it is the result of adding the cosine of the angle between the two vectors and the Euclidean magnitudes of the two vectors.
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HELPPPP!!!! I NEED THIS NOW!!!!!
(hope that didn't sound rude lol. I'm just in a hurry)
Applying the segment addition postulate, the length of EF is: b. 11.
What is the Segment Addition Postulate?The segment addition postulate states that points D, E, and F are collinear, therefore:
DE + EF = DF
Given the following:
DE = x + 22
EF = x + 23
DF = 21
Plug in the values
x + 22 + x + 23 = 21 [segment addition postulate]
Add like terms
2x + 45 = 21
2x + 45 - 45 = 21 - 45
2x = 21 - 45
2x = -24
2x/2 = -24/2
x = -12
EF = x + 23
Plug in the value of x
EF = -12 + 23
EF = 11 units
Therefore, applying the segment addition postulate, the length of EF is: b. 11.
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The graph of the absolute value parent function, f(x) = Ixl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
O A. g(x) = |x|
B. g(x) = 16x1
C. g(x) = x + 6|
O D. g(x) = 61x1
Transformations are used to move a function from one position to another. The function of g(x) is g(x) = | x/6|.
Given that:
f(x) = |x|
The rule of a horizontal stretch by factor k is:
(x, y) → (x/k,y)
This means that:
g(x) = f(x/k)
In this case, k = 6
So, we have:
g(x) = f(x/6)
Calculate f(x/6)
f(x/5) = |x/6|
Hence, the function of g(x) is
g(x) = |x/6|.
A function is defined as a relation between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. Functions are commonly denoted by f(x). x is the input.
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Can someone help me???
A student says that the function represented by the rule [tex]y = x^{2} -1[/tex] is ,
Then the x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.
Then the x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Then the x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Consider function,
[tex]y = x^{2} -1[/tex]
For x = 0 and y = -1
[tex]y = x^{2} -1[/tex]
We can substitute x = 0 and y = -1 values,
-1 = [tex]0^{2}[/tex] - 1
-1 = 0-1
-1 = -1
Then the x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.
For x = 1 and y = 1
[tex]y = x^{2} -1[/tex]
We can substitute x = 1 and y = 1 values,
[tex]y = x^{2} -1[/tex]
1 = [tex]1^{2}[/tex] -1
1 = 1-1
1 ≠ 0
Then the x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
For x = 2 and y = 3
[tex]y = x^{2} -1[/tex]
We can substitute x = 2 and y = 3 values,
[tex]y = x^{2} -1[/tex]
3 = [tex]2^{2}[/tex] - 1
3 = 4 -1
3 = 3
Then the x = 2 and y = 3 represented by rule [tex]y = x^{2} -1[/tex] is correct .
For x = 3 and y = 5
[tex]y = x^{2} -1[/tex]
We can substitute x = 3 and y = 5 values,
[tex]y = x^{2} -1[/tex]
5 = [tex]3^{2}[/tex] - 1
5 = 9 - 1
5 ≠ 8
Then the x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
For x = 4 and y = 7
[tex]y = x^{2} -1[/tex]
We can substitute x = 4 and y = 7 values,
[tex]y = x^{2} -1[/tex]
7 = [tex]4^{2}[/tex] - 1
7 = 16 - 1
7 ≠ 15
Then the x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
Therefore,
The function represented by the rule [tex]y = x^{2} -1[/tex] is ,
x = 0 and y = -1 represented by rule [tex]y = x^{2} -1[/tex] is correct the error.
x = 1 and y = 1 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
x = 3 and y = 5 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
x = 4 and y = 7 represented by rule [tex]y = x^{2} -1[/tex] is incorrect the error.
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joyce paid $120 for an item at the store that was 30 percent of the original price. what was the original price?
The Original price of the item was $400.
Percentage can be defined as a number that denotes hundredth part of any quantity.
For Example , 50%of 30 =[tex]\frac{50}{100} *30=\frac{1500}{100} =15[/tex].
In the given question
Amount paid by Joyce = $120
Let the original price =x
Percent of original price = 30%
According to the given Question
30% of x =120
[tex]\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400[/tex]
Therefore , the Original price of the item was $400.
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Find parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3).
The parametric equations for the line passing through the points p(2, 4, 2) and q(5, 5, 3) are x=2+5t, y=4+5t and z=2+3t.
What is parametric equation?
The same values may be expressed by a variety of alternative parameterizations because parametric representations are typically non-unique (see the "Examples in two dimensions" section below).
In addition to curves and surfaces, higher dimensional algebraic varieties can also be described by parametric equations; in this case, the number of parameters is equal to the dimension of the manifold or variety, and the number of equations is equal to the dimension of the space in which the manifold or variety is taken into account (for curves the dimension is one and one parameter is used, for surfaces dimension two and two parameters, etc.).
In kinematics, where the motion of an object is represented by equations using time as the parameter, parametric equations are frequently utilized.
Calculations:
Parametric equation of line PQ is
x=2+5t,y=4+5t and z=2+3t
parametric equation of line AB is
x=x1+tx2, y=y1+ty2 and z=z1+tz2
Here as we have P(2,4,2) and Q(5,5,3)as two points,
parametric equation of line
PQ is x=2+5t, y=4+5t and z=2+3t
i.e.
x=2+5t, y=4+5t and z=2+3t
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PLEASE HELP!!! 20 points!!!
In the diagram below, M is the midpoint of KL.
Solve for the value of x.
30 plus 82s minus 7 plus 8y minus 49s
Answer:
33s + 8y + 23
Step-by-step explanation:
➟ 30 + 82s - 7 + 8y - 49s
Rearrange
➟ 30 - 7 + 82s - 49s + 8y
Calculate
➟ 23 + 33s + 8y
Answer:
33s + 8y + 23
Step-by-step explanation:
The equation will be,
→ 30 + 82s - 7 + 8y - 49s
Now the simplest form will be,
→ 30 + 82s - 7 + 8y - 49s
→ (82s - 49s) + 8y + (30 - 7)
→ 33s + 8y + 23
Thus, the answer is 33s + 8y + 23.
-50+26 =
-41 +{-25}=
Answer:
-50+26=-24
-41+(-25)=-66
pls wawawa 20000+8000+40+502+79805
Answer:
108347 (srry for not seeing bestay)
Step-by-step explanation:
The length of a rectangle is 4 times its width. If the
perimeter of the rectangle is 90 feet, write an
equation in terms of w, the width of the rectangle.
Answer:
use air math they help and show you how to show your work it was a game changer for me
Step-by-step explanation:
What is the inverse of the function f(x)=1/9x+2
The correct answer is 9x-18.
The ability to reverse other functions makes a function an inverse function. It is somewhat similar to undoing another function, which returns you to your starting point. Driving from home to the shop is a function, and driving from the shop back to home is a function.
The inverse of a trigonometric function, the inverse of a rational function, the inverse of a hyperbolic function, and the inverse of a log function are just a few examples of the various types of inverse functions.
Substituting f(x) with y
f(x)=1/9x+2
y=1/9x+2
x=1/9y+2
x-2=1/9y
y=9x-18
Thus inverse is f^-1(x)=9x-18
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The left and right page numbers of an open book are two consecutive integers whose sum is 27. Find these page numbers. The smaller page number is__.The larger page number is__.
Answer:
13, 14
Step-by-step explanation:
(x) + (x + 1) = 27
2x + 1 = 27
- 1 - 1
2x = 26
2x/2 = 26/2
x = 13
x + 1 = 14
smaller page number: 13
larger page number: 14
If BC = x + 1, CD = 14x − 10, and BD = 6, what is CD? x + 1 B 14x − 10 C D 6 Simplify your answer and write it as a proper fraction, mixed number, or integer.\
Solving all the linear equation The value of CD is 6.
An algebraic equation known as a linear equation has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.
Now According to the question
BC = x+1
CD = 14x - 10
BD = 6
by this we can say that
BC + CD = BD
no by substitution method putting values of BC , CD and BD
(x + 1) + (14x - 10) = 6
15x - 9 =6
15x = 15
x = 1
now again by substitution method putting value of x in to 14x-10 we get
CD = 14(1)-10
CD = 4
Hence the value of CD = 4
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The diameter of circle P has endpoints at (5, -5) and (-7, 11). What is the length of the diameter? Write your answer in decimal form. (Example: if you get 6, write it as 6.0)
Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.
What is the length of the diameter of the circle?The distance formula used to determine the distance between two points is expressed as;
D = √( (x₂ - x₁)² + (y₂ - y₁)² )
Given the data in the question;
Point 1: (5, -5)
x₁ = 5y₁ = -5Point 2: (-7, 11)
x₂ = -7y₂ = 11Plug the given values into the distance formula and simplify.
D = √( (x₂ - x₁)² + (y₂ - y₁)² )
D = √( (-7 - 5)² + (11 - (-5))² )
D = √( (-12)² + (11 + 5)² )
D = √( (-12)² + (16)² )
D = √( 144 + 256 )
D = √( 400 )
D = 20.0
Given the endpoints of the diameter, the length of the diameter of the circle P is 20.0.
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find a vector equation and parametric equations for the line. (use the parameter t.) the line through the point (5, 2.5, 3.1) and parallel to the vector 4i 3j − k
The line we want is given by the vector equation
L(t) = (4i + 3j - k) t + (5i + 2.5j + 3.1k)
L(t) = (4t + 5) i + (3t + 2.5) j + (-t + 3.1) k
As parametric equations, we write
x(t) = 4t + 5
y(t) = 3t + 2.5
z(t) = -t + 3.1
Please help asap!!!!
Answer:
A
Step-by-step explanation:
paulina and montrose are developing a personality survey and they want to obtain an estimate of its reliability. paulina administers the survey to a group of employees one day and then she administers the exact same survey to the same employees the following week. montrose took a different approach and developed two different, yet equivalent forms of the survey and administered both forms to a sample of employees. paulina is most likely assessing reliability, while montrose is most likely assessing reliability
Paulina is most likely assessing "Test-retest reliability", while Montrose is most likely assessing "Parallel forms reliability."
What is termed as reliability?The consistency with which a method attempts to measure something is indicated by its reliability. The same method applied to the same sample in the same conditions should yield the same results. If not, the measurement method may be unreliable.
Some key points related to the reliability are-
Test-retest reliability assesses the consistency of the findings when the same test is performed on the same sample at different points in time. When measuring something which you expect to remain constant in your sample, you use it.The correlation among two equivalent versions of the a test is measured by parallel forms reliability. When you have two distinct evaluation tools or sets of questionnaire prepared to measure the same thing, you use it. It is often necessary to develop different versions of tests in educational assessment.To know more about the Test-retest reliability, here
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1: Use divisibility tests to answer the following: Is 112283 divisible by 9 with no remainder?
Answer:
no
Step-by-step explanation:
the divisibility rule of 9 says that if the sum of the numbers of the number you are going to divide by 9 is a multiple of 9 then it is divisible by nine.
1+1+2+2+8+3=17 which is not a multiple of 9.
Therefore it is not divisible by 9.