Answer:
new points are same as before D'(-4,6) E'(-4,4) F'(-7,4) G'(-5,6)
Step-by-step explanation:
A penquin dives at 18 feet per minute how many minutes does it take to
dive to -54 feet?
3 Minutes
30 Seconds
5 Minutes
4 Minutes
Answer:
5 minutes
Step-by-step explanation:
it dives at positive 18 feet in a minute
however in order to dive at -54 feet, it must dive -5 times
18-18-18-18-18= -54
and 1min =18feet
so it needs 5minutes for the 5times
OR
Let x=the time needed to dive at -54 feet's
so 1min=18
x= -54
-54=18x
dividing both sides by 18
-54/18=18x/18
x=-54/18
x=-5
however time cannot be negative
therefore x =5
this implies that the penguin dives at -54 feet in 5 minutes.
what is 1000000+25437
Answer:
1025437
Step-by-step explanation:
1000000+25437=1025437
Answer:
1025437
Step-by-step explanation:
hope it helps, please mark as brainliest
ok lets try this again no links ill give brainliest
Answer:
its A
Step-by-step explanation:
really hope it helpa
expand each logarithm
Hence, log(sqrt(3.5.11),9) in its enlarged version is roughly similar to 0.2148. We may answer this question by using the definition of logrithmic.
Describe logrithmic.Mathematical operations that relate to a number's logarithm are known as logarithmic functions. The power that a given basis must be increased in order to obtain a particular number is known as the logarithm of the number.
Although 10 (also known as the common logarithm) is the base that is most frequently used, logarithms can be calculated in relation to any positive base higher than 1. If the base is 10, the logarithm of such an integer x with regard to a base b is written by log(base b)(x), or just log(x).
We can compress the given logarithm via the logarithmic identity log(base a)(bc) = c * log(base a)(b):
Sqrt(3.5.11) = Log((3.5.11)(1/2), 9) = Log((3.5.11)*(1/2), 9) = (1/2) * Log (3.5.11, 9)
We must now calculate that logarithm of 9 in base 3.5.11. This can be changed to a log with a more recognisable column, such as base 10 or base e, using the change-of-base formula. Using the base 10 scale
3.5.11, 9) = 9)/log (3.5.11)
We can calculate this using a calculator:
log(9) = 0.9542 (reduced to 4 decimal places)
log(3.5.11) = log(3) + log(5) + log(11) = 0.4771, 0.6978, and 1.0414, respectively, yielding 2.2174. (rounded to 4 decimal places)
Therefore:
sqrt(3.5.11),9 = (1/2) log(3.5.11,9) = (1/2) log(9)/log(3.5.11)) = (1/2) log(0.9542/2.2174) = 0.2148 log(3.5.11,9) = (1/2) log(3.5.11, 9) = (1/2)
Hence, log(sqrt(3.5.11),9) in its enlarged version is roughly similar to 0.2148.
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The expanded form of the logarithm is:
log base 9 √(3.5.11) = log base 9 (3) + log base 9 (5) + log base 9 (11)
What is logarithm?
A logarithm is a mathematical function that tells us what exponent is needed to produce a given number, when that number is expressed as a power of a fixed base. In other words, logarithms tell us how many times we need to multiply the base by itself to get the desired number.
We can use the property of logarithms that says:
log base b (a * c) = log base b (a) + log base b (c)
to expand the logarithm.
Therefore, we have:
log base 9 √(3.5.11) = log base 9 √(3 * 5 * 11)
= log base 9 (3) + log base 9 (5) + log base 9 (11)
So, the expanded form of the logarithm is:
log base 9 √(3.5.11) = log base 9 (3) + log base 9 (5) + log base 9 (11)
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Please help me with number 2
Answer:
I think its the 2 choice
Step-by-step explanation:
Answer:
option A = 3x²-19x -14 is the correct answer of this question ....
Step-by-step explanation:
its 100% correct answer and option B is the wrong answer of this question. ...
plz mark my answer as brainlist plzzzz vote me also .. hope it helped you
a rather large population of biology teachers has 396 individuals with poor vision and 557 with good vision individuals. assume that poor vision is totally recessive and that their population is at hw equilibrium. please calculate the number of biology teachers who have good vision but are carriers of poor vision.
Assuming that poor vision is totally recessive and that the population is at Hardy-Weinberg equilibrium, approximately 639 biology teachers have good vision but are carriers of poor vision.
For the number of biology teachers who have good vision but are carriers of poor vision, we need to consider the Hardy-Weinberg equilibrium for a population with a recessive trait.
In the Hardy-Weinberg equilibrium, the allele frequencies remain constant over generations if certain assumptions are met. One of the assumptions is that the population is large enough for random mating to occur.
We have,
Number of biology teachers with poor vision (pp) = 396
Number of biology teachers with good vision (P-) = 557
Let's assume the following:
- p represents the frequency of the poor vision allele (recessive allele).
- q represents the frequency of the good vision allele (dominant allele).
- The population is in Hardy-Weinberg equilibrium, so p^2 represents the frequency of individuals with poor vision (pp), and 2pq represents the frequency of individuals who are carriers (Pp).
We can set up the following equations:
p^2 = 396 / total population
2pq = 557 / total population
Once we know the value of q, we can calculate the number of biology teachers who are carriers (Pp).
1: Calculate p^2
p^2 = 396 / (396 + 557) = 396 / 953 ≈ 0.4154
2: Calculate q
q = sqrt(1 - p^2) = sqrt(1 - 0.4154) ≈ 0.7488
3: Calculate 2pq (number of biology teachers who are carriers)
2pq = 2 * 0.4154 * 0.7488 ≈ 0.6211
4: Calculate the number of biology teachers who are carriers (Pp)
Number of biology teachers who are carriers = 0.6211 * (396 + 557) ≈ 639
Therefore, approximately 639 biology teachers have good vision but are carriers of poor vision.
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what is the area of rectangle if the length is 520.5 and breadth is 510.5
Answer:
265715.25Step-by-step explanation:
all you have to do is find their product
520.5 x 510.5= 265715.25
Step-by-step explanation:
we know that\(area \: of \: rectangle \leadsto \: l \times b\)
where as,l = length
b = breadth
\( \leadsto length \times breadth \)
\( \leadsto \: 520.5 \times 510.5\)
\( \leadsto \: 265715.25 \: unit \: in \: square\)
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find the formuma f/g(x) and simplify your answer
To find the formula f/g(x), you need to know the specific functions f(x) and g(x). Once you have those functions, you can create the formula by dividing f(x) by g(x). For example, if f(x) = x^2 + 1 and g(x) = x - 1, the formula f/g(x) would be:
f/g(x) = (x^2 + 1) / (x - 1)
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can someone help on my last question plz
Sure whats the question?
The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
calculate x. (geometry)
im in need of help, its due in like 14 minutes
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Isosceles triangles.
Since, the sides are equal, we can equate them, so we get as,
==> 16x + 13 = 24x -19
=> 24x -16x = 13+19
=> 8x = 32
x = 4
hence ==> x = 4.
water enters a pool at an increasing rate given by W(t)=1+3t gallons per minute from t=0 to t=5 minutes. Find the amount of water that has entered the pool over these five minutes.
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.
\(Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons\)
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
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a nurse is preparing to administer triazolam 0.25 mg po. available is triazolam 0.125 mg tablets. how many tablets should the nurse administer per dose? (round the answer to the nearest whole number. use a leading zero if it applies. do not use a trailing zero.)
The nurse should administer 2 tablets per dose if available triazolam is 0.125 mg tablets and the required triazolam is 0.25 mg.
The given data is as follows:
Amount of triazolam = 0.25 mg po
Available of triazolam = 0.125 mg
We need to calculate the total number of tablets the nurse should administer per dose.
Triazolam mainly treats insomnia. Triazolam is in a class of prescriptions called benzodiazepines. It works by slowing by moving the power of drugs in the brain to allow sleep artificially.
To administer a dose of 0.25 mg of triazolam,
0.125 mg x 2 = 0.25 mg
Therefore we can conclude that 2 tablets should the nurse administer per dose.
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Find the gradient of the following function
f (x, y, z) = (x^2 − 3y^2 + z^2)/(2x + y − 4z)
The gradient of the function f(x, y, z) = (x^2 − 3y^2 + z^2)/(2x + y − 4z) is (∂f/∂x, ∂f/∂y, ∂f/∂z) = ((4x^2 - 3y^2 + 2z^2 + 6xy - 8xz)/(2x + y - 4z)^2, (-6xy + 6y^2 + 8yz - 6z^2)/(2x + y - 4z)^2, (-4x^2 + 6xy - 4y^2 + 4yz + 8z^2)/(2x + y - 4z)^2).
To find the gradient, we take the partial derivative of the function with respect to each variable (x, y, and z) separately, while keeping the other variables constant. The resulting partial derivatives form the components of the gradient vector.
To find the gradient of a function, we take the partial derivatives of the function with respect to each variable separately, while treating the other variables as constants. In this case, we have the function f(x, y, z) = (x^2 − 3y^2 + z^2)/(2x + y − 4z).
To find ∂f/∂x (the partial derivative of f with respect to x), we differentiate the function with respect to x while treating y and z as constants. This gives us (4x^2 - 3y^2 + 2z^2 + 6xy - 8xz)/(2x + y - 4z)^2.
Similarly, we find ∂f/∂y by differentiating the function with respect to y while treating x and z as constants. This yields (-6xy + 6y^2 + 8yz - 6z^2)/(2x + y - 4z)^2.
Finally, we find ∂f/∂z by differentiating the function with respect to z while treating x and y as constants. This results in (-4x^2 + 6xy - 4y^2 + 4yz + 8z^2)/(2x + y - 4z)^2.
The gradient vector (∂f/∂x, ∂f/∂y, ∂f/∂z) is formed by these partial derivatives, representing the rate of change of the function in each direction.
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explaination with steps
Answer:
50
Step-by-step explanation:
angleQPR=50
becauseQR=RP
so angleRQP=RPQ
x=50
Answer:
50
Step-by-step explanation:
angle QPR = 50 because QR= rp
Using the net below, find the surface area of the triangular prism.
160 i believe. to find the area of a triangle act like its a square and divide in half. for squares multiply base by height.
take the area of each shape and add it up
Solve and graph the following inequality: 4x + 5 >= 13
Answer:
x ≥ 2
Step-by-step explanation:
4x + 5 ≥ 13
4x ≥ 8
x ≥ 2
Answer:
\(\underline{\large\boxed{\sf{x\geqslant2}}}\)
Explanation:
First, I am going to solve the inequality for x.
The inequality is:
\(\sf{4x+5\geqslant13}\)
I begin by subtracting 5 from each side:
\(\sf{4x\geqslant8}\)
Then, I divide each side by 4:
\(\sf{x\geqslant2}\)
Therefore, \(\large\boxed{\sf{x\geqslant2}}\)
Can somebody help me with this question?
Answer:
\(\frac{2}{5}\vec{a}+\vec{b}\)
Step-by-step explanation:
\(\vec{DE}=\vec{DB}+\vec{BE}\)
\(=\frac{3}{5}\vec{OB}+\frac{1}{5}\vec{BC}\) \(\left\{OD:DB=2:3,BE:EC=1:4\right\}\)
\(=\frac{3}{5}\left(\vec{OA}+\vec{AB}\right)+\frac{1}{5}\left(\vec{BA}+\vec{AO}+\vec{DC}\right)\)
\(=\frac{3}{5}\left(\vec{a}+\vec{b}\right)+\frac{1}{5}\left(-\vec{b}-\vec{a}+\vec{3b}\right)\)
\(=\frac{2}{5}\vec{a}+\frac{2}{5}\vec{b}+\frac{3}{5}\vec{b}\)
\(=\frac{2}{5}\vec{a}+\vec{b}\)
I hope this helps you
:)
I need it today please
Answer:
$207.66
Step-by-step explanation:
30% off is the same as saying there is 70% not off, and 70% is the same as 0.70
0.70*349= 244.30
15% off is the same as saying 85% is not off, and
85% is the same as 0.85
0.85*244.30=207.655
because it's money, you round to 2nd decimal place
$207.66
hope this was helpful :)
charles owns a catering business. the amount his 10 most recent clients spent is shown in the histogram below. a bar graph is entitled cost per event. the event cost is on the x-axis and the number of events is on the y-axis. there are 2 events with a cost of 1,000-1,499; 4 with a cost of 1,500 to 1,999; 3 with a cost of 2,000 to 2,499; 1 with a cost of 3,000 to 3,499. why is the graph misleading?
The graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.
What is a misleading graph?
A misleading graph, sometimes referred to as a distorted graph, misrepresents data, amounts to statistical abuse, and may lead to the drawing of an inaccurate conclusion.
What is a data set?
A data set is a grouping of connected, discrete pieces of connected data that can be viewed separately, together, or handled as a single unit. A data structure of some kind is used to arrange a data set.
Here, we have
2 events with a cost of 1,000-1,499;
4 events with a cost of 1,500 to 1,999;
3 events with a cost of 2,000 to 2,499;
1 event with a cost of 3,000 to 3,499
We concluded from the given dataset that the cost of the event is plotted on the x-axis.
In a given dataset, the entry from 2500 to 2599 is missing.
The graph generates a point cluster that isn't actually displayed on the data components because of the missing item.
Hence, the graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.
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vectors x and y have magnitudes 5 and 4 units. the dot product of these vectors is equal 20 units. we may conclude that
The dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction.
From the given information, we know that the magnitudes of vectors x and y are 5 and 4 units, respectively, and their dot product is 20 units.
To find the angle between vectors x and y, we can use the formula:
cos(theta) = (x.y) / (|x| * |y|)
Substituting the given values, we get:
cos(theta) = 20 / (5 * 4)
cos(theta) = 1
This implies that the angle between vectors x and y is 0 degrees, which means that they are parallel to each other.
Thus, we can conclude that vectors x and y are parallel and in the same direction.
Given the magnitudes of vectors x and y and their dot product, we can determine their relationship and direction. The dot product is the product of their magnitudes and the cosine of the angle between them. Using this formula, we found that the angle between vectors x and y is 0 degrees, indicating that they are parallel to each other. Therefore, we can conclude that vectors x and y are parallel and in the same direction. This information can be useful in various mathematical and physical applications, such as determining the force required to move an object in a particular direction.
In conclusion, the dot product of vectors x and y with magnitudes 5 and 4 units, respectively, is 20 units, indicating that they are parallel to each other and in the same direction. This information can be useful in various mathematical and physical applications.
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At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignment a function of age?
If so, is the function one-to-one or many-to-one?
O A yes; many-to-one
O
B. yes, one-to-many
O C. yes, one-to-one
OD noit is not a function of age
Answer:
C yes, one to one
Step-by-step explanation:
for every different value of age there is one specific function result.
f(age) = summer camp group, age in N, 6 <= age <= 8
this function is therefore not defined for ages outside of that interval, or if not natural numbers.
under these criteria every allowed value of age has a different calculated summer camp group. no two values of age have the same result as summer camp group.
therefore, it is a one-to-one function.
kingda ka in new jersey is the tallest and fastest roller coaster in the world. riders travel at an average speed of 61 feet per second for 3118 feet. They reach a maximum speed of 187 feet per second.
a. if x represents the total time that the roller coaster is in motion for each ride, write an expression to represent the situation.
b. how long is the roller coaster in motion?
Answer:
(a) 3118=61*t
(b) The amount of time the roller coaster is in motion is 51.11 seconds.
Step-by-step explanation:
Speed is a magnitude that expresses the relationship between the space traveled by an object, the time used for it and its direction. In other words, speed is associated with the change in position of a body over time and can be expressed as:
\(speed=\frac{distance}{time}\)
Then the distance traveled can be expressed as:
distance=speed*time
(a) If x represents the total time that the roller coaster is in motion for each ride, the average speed is 61 feet per second and the distance is 3118 feet then the expression to represent the situation is:
3118=61*x
(b) To calculate the amount of time the roller coaster is moving, you simply need to solve the expression found in (a). Dividing 61 to both sides:
\(\frac{3118}{61} =\frac{61*x}{61}\)
51.11 seconds=x
The amount of time the roller coaster is in motion is 51.11 seconds.
the population of a slowly growing bacterial colony after hours is given by . find the growth rate after 3 hours.
The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²
The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t
The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.
The derivative of a function gives the rate of change of the function.The growth rate of a population is the rate of change of the population.The growth rate of a bacterial colony can be calculated by differentiating the function that represents the population of the colony.To know more about derivative click here
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reflected over the x-axis, then translated 7 units left and 1 unit up
what is the equation
I know how to do this, but for some reason got it wring on a Test. Can someone demonstrate how to do it so that I know what I'm doing wrong?
Answer:
Answer on a graph
A 50 -foot ladder is leaning against a building. The base of the ladder is 30 feet from the side of the building. How high does the ladder reach along the side of the building?
Answer:
40 ft
Step-by-step explanation:
I attached a pic showing work !!
A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included $35 for the part, a $40 service charge, and $30 per hour for labor. What is the maximum number of hours the repairman estimated for the job?
Answer:
The maximum number of hours the repairman estimated for the job is 5.
Step-by-step explanation:
It's simple. First, all you have to do is start with the budget he gave you and subtract the fixed price.
225 - 35 - 40 = 150
Then, use the money you have left over (150) and divide by how much he pays per hour which equals 5.
150/30 = 5
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)
Which equations can be used to solve for y, the length of the room? Select three options.
y(y + 5) = 750
y2 – 5y = 750
750 – y(y – 5) = 0
y(y – 5) + 750 = 0
(y + 25)(y – 30) = 0
Jayden was out at a restaurant for dinner when the bill came. His dinner came to $29. After adding in a tip, before tax, he paid $34.22. Find the percent tip
The percent tip when Jayden's dinner bill is $29 is 18%.
According to the question,
We have the following information:
Bill of Jayden's dinner = $29
After adding the tip, Jayden paid $34.22.
Now, we will find the percent tip.
First, we will find the amount added to the bill.
$(34.22-29)
$5.22
Now, let's take the percent tip to be x%.
x% of 29 = 5.22
29x/100 = 5.22
29x = 522
x = 522/29 (29 was in multiplication on the left hand side. So, it is in the division on the right hand side.)
x = 18%
Hence, the percent tip on Jayden's dinner is 18%.
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