The expression (f + g)(10) is calculated to be
10n² + 20n + 50How to find (f + g)(10)Information given in the problem includes
f(n) = -3n + 5g(n) = n² + 5nSolving for (f + g) we substitute accordingly
= (f + g)
= -3n + 5 + n² + 5n
rearranging
= n² + 5n - 3n + 5
= n² + 2n + 5
Solving for (f + g)(10) we substitute accordingly
= (n² + 2n + 5) (10)
= 10n² + 20n + 50
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Can someone please answer the questions
Answer:A. Most cats were in the 7th month and least in the 1st. B. Looking at the graph is legit straight up lit facts. C. I cannot justify the correlation. D. Well we could just kill off all the cars and be down with them falling out the stupid window or we can get them smarter owners
Step-by-step explanation:
WILL GIVE BRAINLIEST What is the measure of angle CED?
Answer:
60 degrees is the measure I think... or 90.
Answer:
40
Step-by-step explanation:
In a triangle all the angles equal to 180
DCE=90 because its a right angle
So you know what both the angles are in the triangle 90 and 60
So you Add both of them together- 90+60=140
Then 180-140=40
CED=40 degrees
Add the expressions (5x2y3z)and(-7x2y3z).
A.-12x2y3z
B.-2x2y3z
C.2x2y3z
D.12x2y3z
Answer:
B
Step-by-step explanation:
Which is not a characteristic of the standard deviation? A. It can be calculated when the data contain negative or zero values. B. It is not applicable when data are continuous. C. It is always the square root of the variance. D. Its physical interpretation is not as easy as the MAD.
The right answer is B. It is not applicable when data are continuous, is not a characteristic of the standard deviation.
The statement "It is not applicable when data are continuous" is not a characteristic of the standard deviation.
The standard deviation is a measure of the dispersion or variability of a dataset. It quantifies how spread out the values are from the mean. Explanation for other parts are as follows:
A. It can be calculated when the data contain negative or zero values:
This is true. The standard deviation can be calculated for datasets that contain negative or zero values. It considers the deviations from the mean, regardless of their sign.
C. It is always the square root of the variance:
This is true. A quadrilateral with exactly two sets of congruent following sides is called a kite. The variance is the average of the squared deviations from the mean.
D. Its physical interpretation is not as easy as the MAD:
This is a subjective statement. The physical interpretation of the standard deviation depends on the context and the familiarity of the user with the concept. However, it is often considered a more widely used and understood measure of dispersion compared to the Mean Absolute Deviation (MAD).
The statement "It is not applicable when data are continuous" is incorrect. The standard deviation can be calculated for both discrete and continuous data. The other options provided (A, C, and D) correctly describe characteristics of the standard deviation.
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The length of a ruler is 12 inches. There are approximateley 25.4 millimeters in 1 inch Which measurement is closest to the length of the ruler in millimeters?
Answer:
304.8mm
Step-by-step explanation:
25.4×12=304.8
Answer:
Given that there are approximately 25.4 millimeters in 1 inch.
The length of the ruler = 25.4 × 12 = 304.8 mm
Hence, the length of the ruler is approximately 304.8 millimeters.
Step-by-step explanation:
I hope it helps:)
Find the values of the trigonometric functions of θ from the information given. sin(θ) = -15/17, θ in Quadrant IV
cos(θ) = tan(θ) = csc(θ) = sec(θ) = cot(θ) =
Value of cos(θ) =8/17 ,tan(θ) = -15/8 ,csc(θ) = -17/15 ,sec(θ) = 17/8 ,cot(θ) = -8/15
Since sin(θ) = -15/17, θ is in Quadrant IV, and cos(θ) = tan(θ) = csc(θ) = sec(θ) = cot(θ), the following values can be found:
cos(θ) =√(1 - sin²(θ))=√(1 - (-15/17)²) =√(1 -(225/289))=√(64/289) = 8/17tan(θ) = sin(θ) / cos(θ) = -15/17 / 8/17 = -15/8csc(θ) = 1 / sin(θ) = 1 / (-15/17) = -17/15sec(θ) = 1 / cos(θ) = 1 / (8/17) = 17/8cot(θ) = 1 / tan(θ) = 1 / (-15/8) = -8/15Note that all of the values of the trigonometric functions of θ are negative except cos and sec because θ is in 4 quadrant of the cordinate plane.
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What is the area of quadrilateral
Answer:
area=1÷2×diagonal(H1+H2)
=1÷2×8(2+2)
=16m2
Answer:
16 m squared,
Step-by-step explanation:
Thre are two triangles. triangle area formula = 1/2 bh
plug in numbers but there's another rectangle so times 2
1/2 8*2 = 8*2=16
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Which equation is equivalent to y = 3x-6?
0 3x-2y = 6
000
2x+3y = -6
=
O 3x-2y = 12
2x-3y = 18
The equivalent equation for the expression y = 3x-6 is none.
Equivalent equation:
If the two equations are said to be equivalent when they have the same solution set. Then it is called as Equivalent equation.
Given,
Here we have the expression y = 3x-6
Now, we need to find the equivalent equation.
In order to find the equivalent equation, we have to take some sample values for x,
The sample value of x as 1, 2, 3
Now, we have to apply these values on the given expression first,
Then we get,
x = 1 => y = 3(1) - 6 = -3
x = 2 => y = 3(2) - 6 = 0
x = 3 => y = 3(3) -6 = 9
Now, we have to apply these to the given equation and which has the same value of the given expression,
x = 1 => 3(1) - 2y = 6 = -2y = 6 - 3 => y = -3/2
x = 2 => 3(2) - 2y = 6 = -2y = 6 - 6 => y = 0
x = 3 => 3(3) - 2y = 6 = -2y = 6 - 9 => y = 3/2
This is not equal one.
Move on to the second one,
x = 1 => 2(1) + 3y = -6 => 3y = -6 - 2 => y = -8/3
x = 2 => 2(2) + 3y = -6 = 3y = -6 - 4 => y = -10/3
x = 3 => 2(3) + 3y = -6 = 3y = -6 - 6 => y = -4
This is not a equivalent one.
Move on to the third expression,
x = 1 => 3(1) - 2y = 12 = -2y = 12 - 3 => y = -9/2
x = 2 => 3(2) - 2y = 12 = -2y = 12 - 6 => y = -3
x = 3 => 3(3) - 2y = 12 = -2y = 12 - 9 => y = -3/2
This is not a equivalent one.
Finally we have to use the last one, then we get,
x = 1 => 2(1) - 3y = 18 => -3y = 18 - 2 => y = -16/3
x = 2 => 2(2) - 3y = 18 => -3y = 18 - 4 => y = -14/3
x = 3 => 2(3) - 3y = 18 => -3y = 18 - 6 => y = -4
Therefore, none of them are the equivalent one.
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Once you find the total area of a composite figure, are you done with the problem?
Answer:
Yes, if the area is all you are asked to calculate.
Step-by-step explanation:
Which expression is a prime polynomial? A.x+9y^2 B. 3m+9n C. 8x^7-9x+12x^2 D. x^9-y^6
Answer:
C
Step-by-step explanation:
A prime polynomial is simply an irreducible polynomial.
\(\mathbf{x + 9y^2}\) is a prime polynomial
First, we test the options.
\(\mathbf{x + 9y^2}\)
The above function cannot be reduced further.
Hence, \(\mathbf{x + 9y^2}\) is a prime polynomial
\(\mathbf{3m + 9n}\)
Factor out 3
\(\mathbf{3(m + 3n)}\)
\(\mathbf{3m + 9n}\) is not a prime because it can be factored as \(\mathbf{3(m + 3n)}\)
\(\mathbf{8x^7 - 9x + 12x^2}\)
Factor out x
\(\mathbf{x(8x^6 - 9 + 12x)}\)
\(\mathbf{8x^7 - 9x + 12x^2}\) is not a prime because it can be factored as \(\mathbf{x(8x^6 - 9 + 12x)}\)
Hence, \(\mathbf{x + 9y^2}\) is a prime polynomial
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if a fair penny is tossed three times and comes up heads all three times, the probability of heads on the fourth trial is . a. smaller than the probability of tails b. larger than the probability of tails c. .0625 d. .50
The probability of obtaining heads on fourth trial is 1/2
In a random experiment of tossing a penny, let H be the event of obtaining head and T be the event of obtaining tail
As it is a fair penny, the probability of obtaining head=1/2
The outcomes of the trials are independent when a coin is tossed multiple times.
Probability of getting three heads ,
P(3H)=P(H∩H∩H)
=P(H)xP(H)xP(H)
=1/2x1/2x1/2
=1/8
We will use conditional probability to find the probability of obtaining head in the fourth trial, given that three heads are already obtained in three trials
P(H|3H)=P(H∩3H)/P(3H)=(1/8x1/2)/(1/8)=1/2
Thus, the required probability is 1/2
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Write the linear equation for the graph of line q.
Do not use any spaces in your answer. Type any fractions in the form a/b.
y = __x+__
Answer:
y=-2/1x+3
i need more characters sorry
Please help 30 points
Answer:
-2x+1 goes to -1,3 and 0,1
2 root x+2 + 1 goes to -1,3 and -2,1
the middle question is covered up and I can not answer
Step-by-step explanation:
what is the value of the expression?
Answer:
Undefined
Step-by-step explanation:
As you try to evaluate the expression, the denominator shows a proplem.-3+3 is equal to 0. So the expression is 2/0. The problem is, dividing anything by zero is undefined. This means that the entire expression is undefined.
In the coordinate plane, the point X (2, 2) is translated to the point X (0, 4). Under the same translation, the points Y(-2, 0) and Z (0, 6) are
translated to Y and Z', respectively. What are the coordinates of Y' and Z?
The points Y and Z after transition are (-4,-2) and (-2,4)
In this case, we are required to find x' and y' to find the direction of transition
x' =x coordinate of point 2 - x coordinate of point 1
= 0-2 = -2
y'= y coordinate of point 2 - y coordinate of point 1
=4-2 = 2
Now we are required to subtract these transition from the points given,
Transition of point Y = (-2-2 ,0-2) =(-4,-2)
Transition of point Z =(0-2,6-2) = (-2,4)
Hence the points after transition are Y as(-4,-2) and Z as (-2,4)
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This shows a figure. What is the measure of angle MRX?
The measurement of the angle MRX is 130°.
Given that a figure we need to find the angle MRX,
The lines TP and ZX are perpendicular to each other, and there is a line MQ intersecting at R,
So,
Angles MRT and MRZ are complementary so,
m ∠MRZ + m ∠MRT = 90°
50° + m ∠MRT = 90°
m ∠MRT = 40°
Also,
Angles TRX and TRZ are supplementary so, and equal to right angle, so,
m ∠MRX = m ∠MRT + m ∠TRX
m ∠MRX = 90° + 40°
m ∠MRX = 130°
Hence the measurement of the angle MRX is 130°.
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Can you help me with this Expression
The value which needs to be added to the expression x² + 6x + 3 is; 6.
The perfect square trinomial can be written as a squared binomial so that we have; (x + 3)².
What is the expression which represents the squared binomial?By observation, it follows that the number which should be added can be determined as follows;
x² + 6x +
x² + 6x + 3² represents a perfect square trinomial
Therefore, x² + 6x + 9
Hence, by comparison we have that;
x² + 6x + 3 + 6
Therefore, the number which needs to be added to the expression is; 6.
On this note, the perfect square trinomial can be written as a squared binomial so that we have;
x² + 3x + 3x + 9
= (x + 3) (x + 3)
= (x + 3)²
Ultimately, the squared binomial as required is; (x + 3)².
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a function is a type of ____.
a. vertical line test
b. relation
c. range
d. domain
Answer:
relation
Step-by-step explanation:
i just took the test and got it wrong because of the other answer
2/7(x+4)=-6
X=?
Help plz immediately
River Otters Drinks about 5 times as much as water as a bald eagle drink in a day
So we know that the bald eagle drinks 0.16 per day. (I am not sure liters, gallons, etc because it is not stated in the question.) Now, the question tells us that River Otters drink about 5 times MORE then the bald eagle. So first we need to multiply.
0.16 × 5 = 0.8
So river otters drink about 0.8 per day.
Now to find out how much a River Otter drinks in 3 days do:
0.8 × 3 = 2.4
Answer: River Otters drink 2.4 water in 3 days.
PS. Please check which unit it is and add the unit. Sometimes points get cut off without the units!
Write an expression that means "the sum of six and the product of three and d"
Answer:
6+3d
Step-by-step explanation:
Sum would be adding 6 and a number, and product is 3 and d. So, it would be 6+3d.
at what rate is the base of the triangle changing when the altitude is 20 cm and the area is 120 cm2?
The rate at which the base of the triangle is changing when the altitude is 20 cm and the area is 120 cm^2 is 0 cm/s.
To solve this problem, we need to use the formula for the area of a triangle, which is:
A = (1/2)bh
Where A is the area, b is the base, and h is the altitude.
We know that the area is 120 cm^2 and the altitude is 20 cm. So we can plug in these values and solve for the base:
120 = (1/2)b(20)
240 = 20b
b = 12 cm
Now we need to differentiate both sides of the equation with respect to time (t):
dA/dt = (1/2)(db/dt)h
We are given the value of dh/dt (which represents the rate at which the altitude is changing) is 3 cm/s. We need to find db/dt (which represents the rate at which the base is changing).
Plugging in the values we know, we get:
dA/dt = (1/2)(db/dt)(20)
Solving for db/dt, we get:
db/dt = (2dA/dt)/h
Plugging in the values we know, we get:
db/dt = (2)(0)/20
db/dt = 0 cm/s
Since the area is constant (120 cm²) and the altitude is constant (20 cm), the base of the triangle is not changing. Therefore, the rate at which the base is changing is: 0 cm/s
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Emma is doing a science project. She is measuring the time it takes a snail to move 5 kilometres. It takes the snail one hour to move 1 20 of a kilometre. If the snail moves at the same pace, how long will it take the snail to move 5 kilometres?
Answer:
41.67hrs
Step-by-step explanation:
if the snail moves 0.12km in 1hr
the snail will move 5km in Xhrs
0.12 × X = 5 × 1
0.12X= 5
X= 5/0.12 = 41.67hrs
Answer:
41.76 hours
Step-by-step explanation:
I feel bad so i did the math. Good Luck! hope you get it right!
the standard normal probability distribution is unique because it has: a. a mean of 1 and any standard deviation b. any mean and a standard deviation of 1 c. a mean of 0 and any standard deviation d. a mean of 0 and a standard deviation of 1
The standard normal probability distribution is unique because it has a mean of 0 and a standard deviation of 1. So, option (D) is right answer here.
What is Standard Normal Distribution ?The standard normal distribution, also called the z-distribution. Any point (x) from a normal distribution can be converted to the standard normal distribution (z) with the following formula,
z = (x-mean) /standard deviation.
We cannot compare results from different normal distributions is not allowed unless both distributions are transformed into standard normal distributions. Remember that two normal distributions with different means and standard deviations are considered different. The properties of a standard normal distribution that make it unique are its mean and standard deviation. Its mean is 0, while its standard deviation is 1. Hence, option D is the answer.
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Complete question:
The standard normal probability distribution is unique because it has:
A)A mean of 1 and any standard deviation
B)Any mean and a standard deviation of 1
C)A mean of 0 and any standard deviation
D)A mean of 0 and a standard deviation of 1
If the perimeter of the pre-image is 41.49 units, what is the perimeter of
the image? Explain your reasoning.
The perimeter of the image is 13.83 units.
The pre-image and the image are missing and so i have attached them.From the attached image, we can see that the pre image is the triangle with coordinates as; X(3, 18), Y(18, 18), Z(18, 9).While the image is the triangle with coordinates of X’(1, 6), Y’(6, 6) and Z’(6, 3).From the coordinates given, we can see that there is a dilation because each of the coordinates have similar scale factors with which they were dilated. For example;X(3, 18) → X’(1, 6)
Y(18, 18) → Y’(6, 6)
Z(18, 9) → Z’(6, 3)
What is clear is that there is a common scale factor of 1/3.Thus, if the pre - image has a perimeter of 41.49, then the perimeter of the image will be; 1/3 × 41.49 = 13.83 units
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Y=10x/3+19 find the x-intercept
The x-intercept is 19.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate; y₁ - y coordinate
m - slope
Given the equation as;
Y=10x/3+19
Then;
the slope m = 10/3
The intercept is 19.
Hence, the x intercept is 19.
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brainliest to whoever can answer
Answer:
The answer is the 3rd one i think
Step-by-step explanation:
if im wrong then it must be B
for the following measurement, find the measurement that is the least accurate:
a. 208 m; b.18050 m;
c. 0.08 m; d.0.750 m; d.12.0 m.
The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.
To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.
Among the options given:
a. 208 m has three significant figures.
b. 18050 m has five significant figures.
c. 0.08 m has two significant figures.
d. 0.750 m has three significant figures.
e. 12.0 m has three significant figures.
The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.
Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.
On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.
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the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. the distribution is likely to be .
The distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.
What is a skewed distribution?
A skewed distribution is one in which the data is not uniformly distributed but rather concentrated on one side. In simple words, a skewed distribution is one in which one tail has a greater number of observations than the other tail, with the majority of data falling in the tail with the greater number of observations.
In a symmetric distribution, the data is uniformly distributed on both sides of the median, with half of the data lying to the right and half to the left.
Thus, the distribution of test scores shows that most students did not do well on the test; some did fine and only a few did exceedingly well. The distribution is likely to be skewed.
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which of the following are identities
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
We have,
Let's analyze each of the given statements to determine whether they are identities:
tan x = sin x / cos x:
This is an identity.
It is known as the fundamental identity of trigonometry, as it holds true for all values of x (except when cos x is equal to 0).
tan x cos x = sin x:
This is not an identity.
It is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
cos x = tan x sin x:
This is not an identity.
Similar to the previous statement, it is a specific equation that may be true for certain values of x, but it does not hold true for all values of x.
sin x / tan x = cos x:
This is an identity.
It can be derived from the fundamental identity by dividing both sides by cos x, resulting in sin x / cos x = cos x / cos x, which simplifies to sin x / tan x = cos x.
Thus,
The identities among the given statements are:
tan x = sin x / cos x
sin x / tan x = cos x
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