Answer:
3x-2 = 4 or x = ²/3
Step-by-step explanation:
we have full bars of X's so that represents 3 because we have 3 of them and we subtract the 2 (-1)'s we also have and since it is an equation it is supposed to equal something so in this case it equals 4 (1)'s .
If you solve the equation you get x =²/3
Verify that the segment lengths form a triangle. Is the triangle acute, right, or obtuse?
Answer:
The lengths do form a triangle and it is a right triangle.
Step-by-step explanation:
Part I:
To find out if 3 segment lengths form a triangle, you must verify that the sum of the two SMALLER sides (6+8) is GREATER than the longest side (10). That is true for this case. We have a triangle
Part II:
To find out the type of triangle, we must incorporate the Pythagorean theorem:
If \(c^2 = a^2 + b^2\\\) then it is a right triangle. Substitute the values. (c=10, b=8, 6=a)\(10^2 = 6^2 + 8^2\\100 = 100\)How much will Jordon save on the price of a computer listed at $989.98 if it is
discounted by 30%?
Answer:
Rm297
Step-by-step explanation:
30/100×Rm989.98 = Rm297
Hope this will help you!
HELP!! Triangle MNO is dilated to create triangle PQR on a coordinate grid. You are given that angle N is congruent to angle Q. What other information is required to prove that the two triangles are similar?
Once we have established that all three angles are congruent and all three sides are proportional, we can conclude that the two triangles are similar.
To prove that the two triangles are similar, we need to show that all three angles are congruent, and all three sides are proportional.
We know that angle N is congruent to angle Q, but we need to find additional information to prove that the triangles are similar. One possible piece of information could be the length of one side or the ratio of two sides.
If we know the ratio of the lengths of two corresponding sides in the two triangles, we can use that information to show that all three sides are proportional.
Alternatively, if we know the length of one side in both triangles, we can use the angle-angle similarity theorem to show that all three angles are congruent.
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what is the density of the rock???!!!!!!!!!!
Answer:
he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).
Step-by-step explanation:
What is the cube root of 512m^12n^15
Equation with Rational Numbers 8.4x-5=20.2 solves for x..
Answer:
x=3
Step-by-step explanation:
Viscosity and osmolarity will both increase if the amount of ____________ in the blood increases. Multiple Choice
Viscosity and osmolarity will both increase if the amount of solutes in the blood increases. The blood is a complex fluid that is constantly circulating throughout the body.
The blood's composition is carefully regulated to ensure that all the body's cells receive the nutrients they need and that waste products are efficiently removed from the body. Viscosity and osmolarity are two critical properties of blood that are affected by the presence of solutes in the blood. Viscosity is a measure of the thickness or resistance to flow of a fluid. Osmolarity, on the other hand, is a measure of the concentration of solutes in a solution.Increased solute concentrations, such as those found in dehydration or in disorders such as polycythemia, can increase blood viscosity and osmolarity. Increased blood viscosity and osmolarity can cause a variety of problems. In the case of blood viscosity, it can cause the blood to flow more slowly, which can lead to problems such as blood clots or even stroke. In the case of osmolarity, it can cause water to be drawn out of cells and into the bloodstream, leading to cell dehydration and other problems.
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etermine the degree of the maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001 when f(x)
The degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001 is 6.
To determine the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001, we can use Taylor's inequality:
|f(x) - P_n(x)| ≤ M * |x - a|^(n+1) / (n+1)!
where P_n(x) is the nth degree Maclaurin polynomial of f(x), M is an upper bound for the (n+1)th derivative of f(x) on the interval [0, 0.12], and a = 0.
Since we do not have the function f(x), we can't find the value of M directly. However, we can use the Lagrange error bound formula to find an upper bound for the error in the approximation using the Maclaurin polynomial.
If we assume that the function f(x) has derivatives of all orders on the interval [0, 0.12], we can use the Lagrange error bound formula:
|R_n(x)| ≤ (M * |x - a|^(n+1)) / (n+1)!
where R_n(x) is the remainder term, which is the difference between the actual value of f(x) and the value approximated by the nth degree Maclaurin polynomial, and M is an upper bound for the (n+1)th derivative of f(x) on [0, 0.12].
Assuming that f(x) is the exponential function, we have f^(n)(x) = e^x for all n, and hence M = e^0.12.
To find the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001, we need to solve the following inequality for n:
(e^0.12 * 0.12^(n+1)) / ((n+1)!) ≤ 0.0001
We can solve this inequality numerically, using a calculator or a computer algebra system. Solving this inequality, we get n ≥ 6. Therefore, the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001 is 6.
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(5.2 x 104) + (3.4 x 10^)
8.6 x 108
1.8 x 104
8.6 x 104
4.2 x 10 5
Answer:
answer not possible.
Step-by-step explanation:
Answer:
THE TWO ONE
Step-by-step explanation:
help me out y’all IMAOOO
Answer:
no
Step-by-step explanation:
Answer:
a.
Step-by-step explanation:
what is the answer plz help like really fast is it 14,42,54,or 170 plz hurry
Answer:
The answer is 14cm^3
Step-by-step explanation:
Research has shown that competent communicators achieve effectiveness by
a. using the same types of behavior in a wide variety of situations.
b. developing large vocabularies.
c. apologizing when they offend others.
d. giving lots of feedback.
e. adjusting their behaviors to the person and situation.
Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).
Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.
Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.
This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.
By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.
In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.
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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.
Explanation:Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.
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Simplify the expression:
7(1 + 8v)
7 ( 1 + 8 )
simplify
1. rearrange terms
7(1 + 8v)
7(8v + 1)
2. Distribute
7(8v + 1)
56v + 7
Solution
56v + 7read the picture plsssssssssss
Which of the following is a solution to the equation x^2 = -144?
A.) x=12
B.) x= -12
C.) x= -72
D.) this equation has no real solution
Answer: No real solutions
Step-by-step explanation: to solve for x and find a solution you need to take the square root of -144
This is not possible as this a negative number . There is a solution if we use complex numbers, but this not included in the question
A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, how much area do the pool and walkway cover?
Answer:
124 tiles
Step-by-step explanation:
2(20+40)
2(60)
120+4=124
Find the distance from (-4, 7) to the line y = 2x
Answer:
Step-by-step explanation:
y=mx+c
7=2*-4+c
7=-8+c
7+8=c
15=c
State the angle relationship between
The relationships between the angles x and y are given as follows:
Alternate interior angles. and Alternate exterior angles.
What are the Vertical angles ?Vertical angles are angles that are on the opposite by the same vertex, and in item 1, the vertex is the intersection of the upper parallel line with the transversal, hence angles x and y are vertical angles.
Alternate Interior angles;
These are the angles that are on the inner side of the two parallel lines but on opposite sides relative to the transversal, therefore, on item 2 x and y are alternative interior angles.
The Corresponding angles are angles that are on the same position relative to the transversal line, but relative to different parallel lines, thus on item x and y are corresponding angles.
Alternate Exterior angles;
There are angles that are on the opposite sides of the transversal line, and one above the upper parallel line and the other below the lower parallel line, shows that angles x and y are alternate exterior angles in item 4.
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A family consisting of three persons—a, b, and c—goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. during a certain week, each member of the family visits the clinic once and is assigned at random to a station. the experiment consists of recording the station number for each member. suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. what is the probability that?
The probability of any one person visiting a particular station is 1/3. Since there are three people in the family, the probability that they would all visit the same station is 1/3 x 1/3 x 1/3, which is equal to 1/27.
The probability that all three members of the family visit the same station at the medical clinic is 1/27 (1/3 x 1/3 x 1/3). This is because each person has an equal chance of being assigned to any of the three stations and since there are three people in the family, the probability that they would all visit the same station is 1/3 multiplied by itself three times, which is equal to 1/27. The experiment is recording the station number for each member and since the incoming individuals are assigned to any of the three stations randomly, the probability that all three members visit the same station is 1/27.
The complete question is :
A family consisting of three persons—a, b, and c—goes to a medical clinic that always has a doctor at each of stations 1, 2, and 3. during a certain week, each member of the family visits the clinic once and is assigned at random to a station. the experiment consists of recording the station number for each member. suppose that any incoming individual is equally likely to be assigned to any of the three stations irrespective of where other individuals have been assigned. What is the probability that all three members visit the same station?
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A recipe for 2.5 dozen gluten-dairy-free
muffins requires 600g of flour. How many
single gluten- dairy-free muffins can be
made with 900g of flour?
The recipe for 2.5 dozen gluten-dairy-free muffins requires 600g of flour. Now, 1 dozen has 12 muffins and 2.5 dozen has 30 muffins as 2.5 x 12 = 30 muffins. Therefore, for 30 muffins, the flour required is 600g of flour.
In order to calculate the flour required for 1 muffin, we can divide 600g by 30 muffins which will give us the flour required for a single muffin.600/30 = 20g of flour is required for one muffin. Now we need to find out how many muffins can be made from 900g of flour, which is given in the question. Therefore, the number of muffins that can be made will be the total flour divided by the flour required for one muffin.900/20 = 45.So, we can make 45 gluten-dairy-free muffins with 900g of flour. We are given that a recipe for 2.5 dozen gluten-dairy-free muffins requires 600g of flour. We can see that 1 dozen has 12 muffins and 2.5 dozen has 30 muffins as 2.5 x 12 = 30 muffins. Therefore, the flour required for 30 muffins will be 600g. In order to calculate the flour required for 1 muffin, we can divide 600g by 30 muffins which will give us the flour required for a single muffin which is 20g. Now we can calculate how many muffins can be made with 900g of flour, which is given in the question. Therefore, the number of muffins that can be made will be the total flour divided by the flour required for one muffin. So, 900/20 = 45. So, we can make 45 gluten-dairy-free muffins with 900g of flour. So, 900g of flour is enough to make 45 gluten-dairy-free muffins as each muffin requires 20g of flour.
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a regression analysis involved 8 independent variables and 99 observations. the critical value of t for testing the significance of each of the independent variable's coefficients will have
Critical value of t for testing the significance of each of the independent variable's coefficients will have 90 degree of freedom.
We are given the following parameters or data or information
"A regression analysis involved 8 independent variables", " 99 observations. "
Number of observations = 99
Number of independent variables = 8
In regression, the critical value t for testing the significance of variable's coefficients has the number of degrees of freedom formula which is (number of observations) - (number of independent variables + 1).
To determine the critical value of t for testing the significance of each of the independent variable's coefficient.
Hence, the formula below will used in Calculating or in the determination of the degree of freedom;
Degree of freedom = (number of observations) - (number of independent variables + 1).
Thus, slotting bin the values into the formula above, we have;
The degree of freedom = 99 - (8 +1) = 90.
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(25pts) Which product is represented by these algebra tiles?
Answer:
(2x+1)(x+1)
Step-by-step explanation:
got it right on my quiz and also there is 2 reds= 2x on the bottom and 1 red=x and the yellow is the +1
The product represented by these algebra tiles is (2x+1) (x+1).
How to calculate the product represented by these algebra tiles?Suppose the blue tiles are x.
Suppose the red tiles are 1.
Therefore,
length = 2 blue tiles + 1 red tile
= 2x+1
Breadth = 1 blue tile + 1 red tile
= x+1
Therefore, product represented by these algebra tiles is (2x+1) (x+1).
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6. With a tax rate of 7%, you were charged $15 for the tax. What was the original price of the item?
The original price of the item was $214.29.
Calculate the amount before the tax was applied to find the original price of the item.
Let's assume the original price of the item is represented by "P".
Since the tax rate is 7%, the tax amount can be calculated as 7% of the original price, which is 0.07P.
Set up the equation given that the tax amount is $15
0.07P = $15
Divide both sides of the equation by 0.07 to find P:
P = $15 / 0.07
Simplifying the right side of the equation:
P = $214.29
Therefore, the original price of the item was $214.29.
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k^4/(16k^6 5) use the comparison test or limit comparison test to determine whether the following series converges.
To use the comparison test or limit comparison test, we need to find a known series that either diverges or converges and is similar to the given series.
Using the comparison test, we can compare the given series to the series 1/n^2, which is a p-series with p=2 and converges.
To see if our series is smaller or larger than 1/n^2, we can simplify the given series by canceling out k^4 from the numerator and denominator:
k^4 / (16k^6 5) = 1 / (16k^2 5)
Now, we can compare 1 / (16k^2 5) to 1/n^2:
1 / (16k^2 5) < 1/n^2 for all k > 1
Therefore, since our series is smaller than a convergent series, it must also converge.
Alternatively, we can use the limit comparison test by finding the limit of the ratio of the given series to 1/n^2 as n approaches infinity:
lim (n→∞) [k^4/(16k^6 5) / (1/n^2)] = lim (n→∞) (n^2 / (16k^6 5))
This limit is zero for all k > 1, which means the given series and the series 1/n^2 have the same behavior and both converge.
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hi guys! i need help with this question 5.2 x 3/2
Answer:
7. 8 I think (typing more for the limit)
Answer:
7.8
Step-by-step explanation:
HELP ME PLEASE 15 POINTS!!!
What is the equation of the axis of symmetry of a parabola
if its x-intercepts are -3 and 5?
Step-by-step explanation:
What equation of axis of symmetry of a parabola if its x-intercepts are 5 and -5. x = 0 is the axis of symmetry. that is the equation of the axis of symmetry because the vertex occurs when x = 0. the line passing through the vertex is the axis of symmetry.
PLS GIVE BRAINLIEST!
Hopfully, I got this right I tried hard. HAVE A WONDERFUL TUESDAY!
a gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. the gardener has enough material to build a 300-foot fence to enclose the garden. he also has enough roses to fill a 5,200 square foot planter.
a. To represent the garden's width, w, in terms of its length, I, we can use the equation: w = 300 - 2I
b. g(l) = l * (300 - 2l) this function gives the area of the rose garden (g) as a function of its length (l)
a. To represent the garden's width, w, in terms of its length, I, we can use the equation:
w = 300 - 2I
The width is equal to the remaining fence length (300 feet) after subtracting twice the length (2I) because the rectangular planter has two equal sides and two equal ends.
b. To define a function g that represents the rose garden's area in terms of its length, l, we can use the equation:
g(l) = l * w
Substituting the expression for the width from part (a), the function becomes:
g(l) = l * (300 - 2l)
This function gives the area of the rose garden (g) as a function of its length (l), taking into account the relationship between length and width.
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complete question is below
A gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. The gardener has enough material to build a 300-foot fence to enclose the garden. He also has enough roses to fill a 5,200 square foot planter.
a. Define an expression to represent the garden's width, w, in terms of it length, I.
b. Define a function g to represent the rose garden's area in terms of its length, l.
simplify 2(-3×4)-10
Answer: just use pemdas
Step-by-step explanation:
2(-3*4)-10
-3*4=-12
s0
2*(-12)-10
2*-12=-24
so
-24-10=-34
Using pemdas
it's -34
Please help I’ll give brainliest
Answer:
2 is the base
Step-by-step explanation:
2^12
The 2 is the base and the 12 is the exponent
Which of the following is correct?