Yes
Step-by-step explanation:We can tell if a triangle can exist based on the relationship between the side lengths.
Side Length Relationships
For a triangle to really exist, the sum of the smaller legs must be greater than the length of the longest leg. This can be expressed with the inequality a + b > c, where a and b are the shorter legs.
Now, we can plug the values we are given into this inequality.
6 + 3.1 > 99.1 > 9Since the inequality is true, this triangle does exist.
Other Examples
One of the most important things to remember is that the sum of the shorter legs must be greater than, not equal to, the longest leg. So take the sides 4, 6, and 10.
4 + 6 > 1010 > 10This statement is not true. 10 is not greater than 10; they are equal. Thus, these sides cannot make a triangle.
Additionally, if the 3 numbers are Pythagorean triples, then it will be a right triangle. For example, the sides 5, 12, and 13 will create a right triangle.
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:
B
Name the obtuse angle
A
D
159 160 170
E
Answer: It is m<BAE or measure of angle BAE
Step-by-step explanation:
1. Based by the m<CAE, 135 - 45 equals to 90, so that is not an obtuse angle, m<BAD is the same thing, so those 2 aren't it
2. m<CAD is 65, which is way too low for an obtuse angle, and m<DAE is way too small as well since it's angle is 25, making m<BAE a correct answer
The assembly time for a product is uniformly distributed between 2 to 10 minutes. what is the value of probability density function in the interval between 2 and 10?
The value of probability density function in the interval between 2 and 10 is 0.125.
What is probability density function?A probability density function (PDF), also referred to as the density of a continuous random variable (CRV), is a mathematical function whose value at any particular sample (or point) in the sample space (the range of possible values that the RCV can take), can be interpreted as providing a relative likelihood that the RCRV's value would be close to that sample. Since there are an infinite number of possible values to begin with, the probability per unit length for a continuous random variable to take on any particular value is 0, but the value of the PDF at two different samples can be used to infer, in any given draw of the random variable, even though the absolute likelihood is zero.
Given the assembly time for a product is uniformly distributed between 2 to 10 minutes.
The Probability density function in the internal between 2&10
pdf=1/10-2 = 1/8pdf = 0.125
The probability density function in the interval between 2 and 10 is 0.125.
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The sum of the squared deviation scores is ss = 20 for a population of n = 5 scores. what is the variance for this population?
When the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4
Given,
The sum of the squared deviation scores SS= 20
Population of n= 5
Then the variance = SS/n
Substitute the values in the equation
The variance = [tex]\frac{20}{5}[/tex]
=4
Hence, when the sum of the squared deviation scores is SS=20 for a population n=5 scores, then the variance for this population is 4
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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:
the midpoint of uv is m(10, 6). one endpoint is v(10, 7). find the coordinates of the other endpoint u.
The answer is u = (10, 5)
Step-by-step explanation:
Imagine u = (x, y)
10 = x/2 + 10/2
10 = x/2 + 5
20 = x + 10
x = 20 - 10
x = 10
u = (10, y)
6 = y/2 + 7/2
6 = y/2 + 3.5
12 = y + 7
y = 5
u = (x, 5)
Thus, u = (10, 5)
a car starts from a point at 2:00 p.m. and travels north at 40 mph. another car starts from the same point at 3:00 p.m. and travels west at 50 mph. after the second car has traveled 1 h, at what rate is the distance between the two cars changing?
The distance between the cars changes by 60.42mph.
What is distance?Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Through dimensions like time, space, and isolation, an object may be psychologically distanced from itself.
Calculations:
[tex]d=\sqrt{80^{2}+50^{2} } \\[/tex]
d=94.34
1st car -- 40mph/hr
2nd car-- 50 mph/hr
The positions of cars at 4pm
Distance travelled by 1st car = 80m
Distance travelled by 2nd car = 50m
[tex]d^{2}=a^{2} +b^{2}[/tex]
2d.dd/dt=2a(da/dt) +2b(db/dt) =d(dd/dt) =a(da/dt)+b(db/dt)=94.34(dd/dt)=50*50+80*40
dd/dt=(2500+3200)(94.34) =60.419
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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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Which expression has a value of less than 2 when x=5? select all that apply.
A. x to the power of zero divided by 4
B. x to the power of one divided by 7 to the power of zero
C. (50 divided by x to the power of 2) to the power of zero
D. 2( 10 divided by x) to the power of zero
F. x to the power of zero divided by x to the power of 2
The expressions that have numeric value of less than 2 when x = 5 are:
A. x to the power of zero divided by 4.
C. (50 divided by x to the power of 2) to the power of zero
E. x to the power of zero divided by x to the power of 2
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
For item a, the expression is:
x^0/4 = 1/4 < 2.
For item b, the expression is:
x/(7^0) = x.
When x = 5, the expression has a numeric value of 5 > 2.
For item c, the expression is:
(50/x^2)^0 = 1 < 2.
For item d, the expression is:
2(10/x)^0 = 2 x 1 = 2 = 2.
For item e, the expression is:
x^0/x^2 = 1/x^2.
When x = 5, the expression has a numeric value of 1/25 < 2.
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two polynomials with integer coefficients are relatively prime in q[x] if and only if the ideal they generate in z[x] contains a (nonzero) integer
Certain polynomials with integer coefficients fall into the category of substantially prime polynomials in q[x] if and only if the ideal they create in z[x] contains a (nonzero) integer.
What are polynomials?A polynomial is an expression in mathematics that consists of indeterminates (also known as variables and coefficients) that exclusively uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. x2 4x + 7 is an illustration of a polynomial of one uncertain x.
In both mathematics and science, polynomials are widely used. For instance, they are used to define polynomial functions, which can be found in a variety of contexts, from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximate other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems.
Calculations:
Let d=degP.
Then the Q-vector space V=Q[X]/(P) is d-dimensional.
The residue classes modulo (P) of X2,X3,X5,… are linearly dependent over Q, so there exist a2,a3,a5,…∈Z not all zero such that a2X2+a3X3+a5X5+⋯∈(P).
This shows that there is Q∈Z[X], Q≠0 such that PQ=a2X2+a3X3+a5X5+⋯.
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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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Ted works as a nurse anesthetist. He is
paid a semimontly salary of $3,950. What
is his annual salary?
Answer:
94800
Step-by-step explanation:
Answer:
94,800
Step-by-step explanation:
Well semimonthly means 2 times a month
If you multiply 3,850 by 2 you get 7,900
Then simply multiply 7,900 by 12 (12 months in a year) and you get 94,800
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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Write the fractions and decimals
3/4
Answer:
.75
Step-by-step explanation:
is 80.279 and 18/25 a rational.or irrational
Answer:
both are rational numbers
Step-by-step explanation:
Answer:
both are irrational numbers.
Step-by-step explanation:
0.3. human iq scores are approximately normally distributed with a mean of 100 and a standard deviation of 15. the minimum iq score for the top 10% of the population.
The minimum IQ score for the top 10% of the population is 0.0179.
Standard deviation:
Standard deviation means the root of the variance in the given grouped or ungrouped data.
The standardized value is the value decreased by the mean, divided by the standard deviation:
z = (x- μ) / σ
where
x: the observation (a specific value that you are calculating the z-score for).
Mu(μ): the mean.
Sigma(σ): the standard deviation.
Given,
The human IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15.
Here we need to find the minimum IQ score for the top 10% of the population.
We know that,
x = 131.5
μ = 200
σ = 15
So, when we apply the values on the formula,
Then we get,
=> z = 131.5 - 100 /15
=> z = 2 .10
Determine the corresponding probability using table A-2:
=> P(Z>2.10) = 1 − P(Z<2.10)
=> 1 − 0.9821
=> 0.0179
Therefore, the minimum IQ score for the top 10% of the population is 0.0179.
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Tai wants to frame a 3 x 5 picture surrounded by 2 inches of mat. How large will her frame need to be?
Solve for X. I need help please
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.
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.
Suni needs to repay her school loan in 4 years.How much must she semiannually deposit into an account that pays 0.9% interest, compounded semi annually, to have $100,000 to repay the loan?
Suni needs to deposit $12,304.45 semiannually to have $100,000 to repay the loan at 0.9% interest.
What are periodic payments?Periodic payments are equal payments made periodically to settle a mortgage loan.
The periodic payment for a loan can be computed using an online finance calculator.
Data and Calculations:N (# of periods) = 8 times (4 years x 2)
I/Y (Interest per year) = 0.9%
PV (Present Value) = $0
FV (Future Value) = $100,000
Results:
PMT = $12,304.45
Sum of all periodic payments = $98,435.60 ($12,304.45 x 8)
Total Interest $-1,564.40
Thus, the periodic deposit that Suni needs to make semiannually to have $100,000 to repay the loan at 0.9% interest is $12,304.45.
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A person needs $
4500 to visit foreign countries. If $ 1 = NRs. 120.92 and the bank charge 2% as onmmission, bow many Nepali rupees does the person require to exchange $4500? Find it.
Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.
We know that:
$ 1 = NRs. 120.92
We are also given that a person needs $ 4500 to visit foreign countries.
Also, for the conversion, bank charges commission as 2 %
Now, $ 4500 in NRs. will be calculated by multiplying 120.92 with $ 4500.
$ 4500 = NRs. 120.92 × 4500
$ 4500 = NRs. 544,140
Now the commission charged by the bank will be:
2 % of 544,140
Commission = 2 / 100 × 544,140
Commission = NRs. 10,882.8
So, the amount the person will require to get $ 4500 will be = NRs. 544,140 + 10,882.8
= NRs. 555,022.8
Therefore, Nepali rupees that the person requires to exchange $4500 will be equal to NRs. 555,022.8.
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Evaluate each expression the equation is b(9-c) those are on top and on bottom we have a^2. B=6 a=4 and c=8
Hey there!
b(9 - c) / a^2
= 6(9 - 8) / 4^2
= 6(1) / 4^2
= 6/4 * 4
= 6/16
= 6 ÷ 2 / 16 ÷ 2
= 3/8
Therefore, your answer should be:
3/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
how do I solve
-3(1+6r)=14-r
Answer: -1
Step-by-step explanation:
Multiply -3 to (1+6r)
-3 - 18r = 14 - r
Then, group like terms and change the signs
-18r + r = 14 + 3
Add
-17r = 17
Divide 17 by 17 to solve for r
r = 17/-17
r = -1
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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-50+26 =
-41 +{-25}=
Answer:
-50+26=-24
-41+(-25)=-66
HELOPPP
What number is 0.1 more than 30.7?
Responses
30.71
30.71
30.8
30.8
31.7
31.7
31.8
Answer:
Step-by-step explanation:
its 30.8. this is because .7 + .1 = .8 . Now just add that to the 30 and you get 30.8
Answer:
30.8
Step-by-step explanation:
All you have to do is take the 0.1 and add it to the 30.7 so you would add it to the .7 which gives you 8 and now just put the 30 back with your decimal
Please help asap!!!!
Answer:
A
Step-by-step explanation:
An airliner makes a 3,000 mile flight in 7 hours. What is the airliners average rate of speed in miles per hour ?
To find the average rate of speed per miles an hour, do the following equation: miles ÷ hour = miles per hour.
So, we divide 3,000 ÷ 7 = 428.5714285714 but we can make round it to 429.
The airliners average rate of speed in miles per hour is 429 miles per hour.
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!