Answer:
-10 because you do parenthesis first
Answer:
x = -10
Step-by-step explanation:
3(-2x - 3) + 4x - 3 = 8
~Simplify
-6x - 9 + 4x - 3 = 8
-2x - 12 = 8
~Add 12 to both sides
-2x = 20
~Divide -2 to both sides
x = -10
Best of Luck!
Which statement about the graphs of functions g(x)
(x - 1)2 and f(x) = x2 is true?
Answer:What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4? ... Which best describes the transformation from the graph of f(x) = x2 to the graph of ... The graph of the function is 1 unit up and 2 units to the left from the graph of y = x2. ... Which statement about the function is true?
Step-by-step explanation:
Find the mean, median, mode and range 28,45,53,28, 47 show work please
Value of mean is, 40.2
Value of median is, 45
Value of mode is, 28
Value of range is, 25
Given that;
Data set is,
⇒ 28, 45, 53, 28, 47
Now, We can arrange into ascending order as;
⇒ 28, 28, 45, 47, 53
Hence, Value of mean is,
⇒ (28 + 28 + 45 + 47 + 53) / 5
⇒ 40.2
And, The value of median is,
⇒ (5 + 1) / 2
⇒ 6/2
⇒ 3rd term
⇒ 45
The value of mode =28
And, The value of range is,
⇒ 53 - 28
⇒ 25
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which method would you use to round 2.6 to the closest whole number?
Answer:
Step 1: Locate and underline the whole numbers place (2) then look at the digit to the right (6):
2.6
Step 2: In this case, the digit to the right (6) is 5 or above. So, we add 1 to the whole numbers place (2). The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 3 as the answer.
In short: 2.6 rounded to the nearest whole number is 3.
what is the distance between the points?! round to the nearest tenth i need to show work
Answer:
8.6
Step-by-step explanation:
To find the distance between two points we use the formula posted below
All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with
the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267
then we round to the nearest tenth and get 8.6
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point
For example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
X. 3^2+x = 5 * 4 - X *
Your answer
Answer:
chicken
Step-by-step explanation:
pizza and fries and boom your done theres your answer I hope i helped you a lot!
Answer:
X= 11/2
Step-by-step explanation:
show that 4 2/3 + 3 4/5 = 8 7/15
Step-by-step explanation:
4 2/3 + 3 4/5 = 8 7/15
change to a common denominator:
4 10/15 + 3 12/15 = 7 22/15
reduce:
7 22/15 = 8 7/15
When the given mixed fractions are solved and tired to prove that both the sides are equal, the result will show that the given equation is correct.
What is a mixed fraction?A proper fraction that is less than one whole must represent the fractional portion of the mixed number. When a fraction is written properly, the top number, or numerator, must be less than the bottom number, or denominator.
A mixed fraction is one that has both a whole number and a fractional component. Additionally known as "Mixed numerals"
4 ⅔ + 3 ⅘ = 8 ⁷/ ₁₅
¹⁴/ ₃ + ¹⁹ / ₅ = ¹²⁷ / ₁₅
⁷⁰ / ₁₅ + ⁵⁷ / ₁₅ = ¹²⁷ / ₁₅
¹²⁷ / ₁₅ = ¹²⁷ / ₁₅
The result will demonstrate that the above equation is accurate when the given mixed fractions are solved and used to demonstrate that both sides are equal.
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what i 108 x 15 explain your answer
Answer:
1,620
Step-by-step explanation:
you do 108 times 15 and the answer will be 1,620
Answer:
1620
Step-by-step explanation:
Why are there always many ways to move a shape from one location to another location on the page?
There are always many ways to move a shape from one location to another location on a page due to the inherent flexibility and freedom of positioning offered by two-dimensional space, combined with the numerous variables involved in the placement of objects.
The two-dimensional nature of a page allows for an infinite number of positions within its boundaries. This inherent flexibility provides multiple options for moving a shape from one location to another. Furthermore, numerous variables contribute to the placement of objects on a page, such as size, orientation, and relationships with other elements.
Firstly, the freedom offered by two-dimensional space means that a shape can be placed anywhere within the boundaries of the page. This allows for a wide range of possibilities when deciding on the shape's position. A shape can be moved horizontally, vertically, or even diagonally, enabling endless potential arrangements.
Secondly, the variables involved in object placement add to the diversity of options. The size of the shape plays a significant role in how it can be positioned. A smaller shape may have more potential locations within a given space, while a larger shape may have fewer possibilities. Additionally, the orientation of the shape, such as rotation or flipping, further expands the number of ways it can be moved.
Furthermore, the relationship between the shape and other elements on the page influences its potential positions. Objects can be arranged in various configurations, such as overlapping, aligning, or grouping, leading to different visual effects and spatial relationships.
In conclusion, the combination of the inherent flexibility of two-dimensional space and the variables involved in object placement on a page results in numerous ways to move a shape from one location to another. This allows for creative expression, adaptability to design requirements, and the possibility of achieving specific visual outcomes.
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Wayne is hanging a string of lights 63 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is 7 feet longer than twice its width. Find the length and width of the patio.
We will determine the length and width of the patio as follows:
*First: We write the equations that we can derivate from the text, those are:
\(63=w+l\)&
\(l=2x+7\)&
\(w=x\)*Second: We will replace this last two equations in the first one and solve for x:
\(63=2(x)+(2x+7)\Rightarrow63=4x+7\)\(\Rightarrow56=4x\Rightarrow14=x\)So, we have that the width of the patio is 14 feet long.
*Third: We determine the length:
\(l=2(14)+7\Rightarrow l=35\)So, we have that the lenght of the patio is of 35 feet long.
Check the image for the question.
The mathematical model that best fits the given data is option : y = 82.3 - 8.275x.
To construct a scatterplot and determine the mathematical model that best fits the given data, we will plot the points and analyze the trend.
Given Data:
x: 4, 8, 12, 16, 20
y: 40, 20, -11, -37, -97
Let's plot these points on a scatterplot:
(x, y) points:
(4, 40)
(8, 20)
(12, -11)
(16, -37)
(20, -97)
After plotting the points, we can analyze the trend in the data.
By observing the scatterplot, it is clear that a linear or quadratic model would not fit the data well since the points do not follow a straight line or a parabolic curve.
Next, we can try the logarithmic, exponential, and power models to see if any of them fit the data better.
Using a calculator or computer to perform the regression analysis, we find that the regression equation with the highest R² value is:
y = 82.3 - 8.275x
This equation corresponds to option : y = 82.3 - 8.275x
The regression equation represents a linear model that best fits the given data. The R² value indicates how well the model explains the variability in the data, and in this case, the linear model provides the highest R² value compared to the other models.
It's important to note that the specific values of the coefficients in the regression equation may vary slightly depending on the calculator or software used for the analysis. However, the overall best-fit model remains the same.
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what is the probability of an event occuring 4 standard deviations from the mean in a normal distribution
The probability of an event occurring 4 standard deviations from the mean in a normal distribution is extremely low. Specifically, the probability of an event occurring 4 standard deviations from the mean in a normal distribution is approximately 0.006%.
In a normal distribution, 68% of the values are within one standard deviation of the mean, 95% are within two standard deviations of the mean, and 99.7% are within three standard deviations of the mean. So, an event that is 4 standard deviations from the mean is extremely unlikely to occur.
This is because the empirical rule states that in a normal distribution, approximately 68% of observations will fall within 1 standard deviation of the mean, 95% of observations will fall within 2 standard deviations of the mean, and 99.7% of observations will fall within 3 standard deviations of the mean. Thus, the probability of an observation falling more than 3 standard deviations from the mean is very small, and the probability of it falling 4 or more standard deviations from the mean is even smaller. This demonstrates the importance of considering outliers and extreme values when analyzing data in a normal distribution.
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Solve for x. Round to the nearest tenth.
Answer:
this answer should be 10.2
I'm so sorry if this is wrong I'm just now starting trig myself
I've done good so far just hope this will help you
Step-by-step explanation:
37sin(16)= 10.1 = 10.2
what is the answer for x⁵÷x⁸
answer:
the answer is 40 because any expression divides itself is equals to 1
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(\frac{1}{x^3}\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Describe the clockwise rotation about the origin from the pre-image to the image
The clockwise rotation about the origin from the pre-image to the image include the following: a rotation of 90° clockwise.
What is a rotation?In Mathematics, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Additionally, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).
Next, we would apply a rotation of 90° clockwise to the coordinate of triangle ABC as follows;
(x, y) → (y, -x)
Coordinate A = (1, 1) → Coordinate A' = (1, -(1)) = (1, -1)
Coordinate B = (1, 4) → Coordinate B' = (4, -(1)) = (4, -1)
Coordinate C = (5, 1) → Coordinate C' = (1, -(5)) = (1, -5)
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Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
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What is the slope of the line?
Answer:
1
Step-by-step explanation:
whats the answer to this
The graph G represents the solution set for 8x + 5y ≤ 100.
What is Solution set ?
A solution set in mathematics is the collection of values that satisfy a particular set of equations or inequalities. The set of solutions to a constrained optimization problem represents the viable zone.
We have, 8x + 5y ≤ 100
Let's assume it as 8x + 5y = 100,
when x = 0,
5y = 100
y = 20
when y = 0,
8x = 100
x = 12.5
So, The line touches x-axis and y-axis at 12.5 and 20.
Now, Putting (0, 0) in 8x + 5y ≤ 100,
We get, 0 ≤ 100 which is true.
Hence, The region below the line should be the solution set for 8x + 5y ≤ 100.
So, Graph G represents the solution set for 8x + 5y ≤ 100.
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Consider the sequence
a_n = n.sin(n)/ (5n +3)
Describe the behavior of the sequence.
a. is the sequence monotone?
b. is the sequence bounded?
c. Determine whether the sequence converges or diverges. If it converges, find the value it converges to. If it diverges, enter DIV.
Given sequence is `a_n = n.sin(n)/(5n + 3)`
(a) Monotone sequence is a sequence that either non-increasing or non-decreasing. For a sequence to be monotone, the terms in the sequence should have the same sign. Here, the function `sin(x)` oscillates between the values -1 and 1 and thus the sequence `a_n = n.sin(n)/(5n + 3)` oscillates and has no monotonicity.
(b) A sequence is bounded if it does not go beyond a certain range, called bounds, in the positive or negative direction. Here, for all natural numbers, the values of the function are between -1 and 1. Thus, the sequence is bounded.
c) Determine whether the sequence converges or diverges. If it converges, find the value it converges to. If it diverges, enter DIV.Since the sequence is oscillating and bounded, we can use the Squeeze theorem to determine the convergence of the sequence. Let us define two sequences `p_n = n/ (5n + 3)` and `q_n = -n/ (5n + 3)`.
Here, we have `q_n <= a_n <= p_n`Since,`lim (n→∞) p_n = 0` and `lim (n→∞) q_n = 0`thus, `0 <= a_n <= 0`Since the squeeze theorem is satisfied, we can say that the given sequence is convergent. The value of the sequence is `0`.Thus, the sequence is bounded, not monotone, and converges to `0`.
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PLS HELP at a summer camp there are 876 girls and 25 boy how many more girls are there then boys
Answer:851
Step-by-step explanation:
is y=5^w an exponential function if so state the initial value and the base if not then which type of function is it
By using the property of exponential function, the results obtained are
Base of the function is 5.
Initial value of the function is close to zero.
What are exponent?
Exponent tells us how many times a number is multiplied by itself.
For example : In \(2^4 = 2\times 2\times 2\times 2\)
Here, 2 is multiplied by itself 4 times.
If \(a^m = a \times a\times a....\times a\) (m times), a is the base and m is the index.
Here,
\(y = 5^w\) is an exponential function.
The base of the function is 5.
As \(x \rightarrow -\infty\), the function tends to 0
So the initial value of the function is close to zero.
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Rewrite the following expression so that it only uses addition. 20x – 9y + 82 - 7
Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33^{\circ}
∘
. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft
The situation forms a right angle triangle.
What is a right angle triangle?Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.
Therefore, the height of the kite form the ground can be found as follows;
sin 33° = opposite / hypotenuse
sin 33° = h / 75
cross multiply
h = 75 × sin 33
h = 40.8479276261
h = 40.84
The height of kite from ground = 40.847 + 3.5 = 44.3479276261 = 44.85 ft
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Answer:
44.35
Step-by-step explanation:
i did it
Where is the mean on a box plot?
The mean is represented by a line that divides the box plot into two equal parts. It is placed at the center of the box plot, between the lower and higher quartiles.
The mean is represented by a line in the box plot, which divides the box plot into two equal parts. This line is placed in the center of the box plot, between the lower and higher quartiles. The mean is the average of all the values within the data set, and is represented by the line in the box plot. It is the midway point between the highest and lowest values of the data set. The mean can help to give a better understanding of the data set by providing an overall average of the data. It can be used to compare the data set to other sets of data, as well as to identify outliers within the data set. The mean can be used to identify trends within the data set, and to make predictions about future data sets or events.
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There are 15 Evil Runaway Robots attacking the Earth!! The ratio of Super Scary Aliens to Evil Runaway Robots is 2 to 3. How many Super Scary Aliens are attacking the Earth?
1. 10
2. 12
3. 15
4. 25
Answer:
10 super scary aliens
Step-by-step explanation:
in a forest 20% of mushrooms are red, 50% brown and 30% white. a red mushroom is poisonous with a probability of 20%. a mushroom that is not red is poisonous with a probability of 5%. what is the probability that a poisonous mushroom in the forest is red? 4% 20% 50% none of the above
The probability that a poisonous mushroom in the forest is red is 50%.
To find the probability that a poisonous mushroom in the forest is red, we need to consider the probabilities of a mushroom being red and poisonous, and compare it to the overall probability of a mushroom being poisonous.
Let's denote the events as follows:
R: Mushroom is red
P: Mushroom is poisonous
P(R) = 20% = 0.20 (probability of a mushroom being red)
P(P|R) = 20% = 0.20 (probability of a red mushroom being poisonous)
P(P|not R) = 5% = 0.05 (probability of a non-red mushroom being poisonous)
We want to calculate:
P(R|P) = ? (probability that a poisonous mushroom is red)
We can use Bayes' theorem to calculate this probability:
P(R|P) = (P(P|R) * P(R)) / P(P)
To calculate P(P), the overall probability of a mushroom being poisonous, we can use the law of total probability:
P(P) = P(P|R) * P(R) + P(P|not R) * P(not R)
P(not R) = 1 - P(R) = 1 - 0.20 = 0.80 (probability of a mushroom not being red)
Now, we can calculate P(P):
P(P) = P(P|R) * P(R) + P(P|not R) * P(not R)
= 0.20 * 0.20 + 0.05 * 0.80
= 0.04 + 0.04
= 0.08
Finally, we can calculate P(R|P) using Bayes' theorem:
P(R|P) = (P(P|R) * P(R)) / P(P)
= (0.20 * 0.20) / 0.08
= 0.04 / 0.08
= 0.50
Therefore, the probability that a poisonous mushroom in the forest is red is 50%.
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On the faces of the cube consecutive natural numbers are written . The sums of the two numbers on every 3 pairs of opposite faces are equal. What is the sum of all the numbers on the cube
The sole inference whereby the total amount of figures on the cube will be divisible by three.
How to solveThe cube’s faces are labeled as A, B, C, D, E, and F.
It’s apparent that pairs of opposite sides combine to equal the same value: namely A+F=S, B+E=S, and C+D=S.
Thus, determining the summation of all values entails adding each group of pairs together: (A+F) + (B+E) + (C+D) = 3S.
Unless additional information is provided, the sole inference whereby the total amount of figures on the cube will be divisible by three.
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2 + 7c – 4c2 – 3c + 4
Answer:-4c^2+4c+6
Step-by-step explanation:
Hope that’s what ur looking for:)
Answer:
2 + 7c – 4c2 – 3c + 4
4c∧2 + 4c + 6
Step-by-step explanation:
determine the critical values for the confidence interval for the population standard deviation from the given values. round your answers to three decimal places.
The critical values for the 95% confidence interval for the population standard deviation with n=15 and α=0.05 are 6.262 and 26.119
We must utilise the chi-square distribution with (n-1) degrees of freedom to establish the crucial values for the confidence interval for the population standard deviation.
With n=15 and α=0.05, we can find the critical values using a chi-square table or a calculator. For a 95% confidence interval (α=0.05), the critical values are:
Lower critical value = chi-square value at (n-1) degrees of freedom and
α/2 = chi-square value at 14 degrees of freedom and 0.025
= 6.262
Upper critical value = chi-square value at (n-1) degrees of freedom and
1-α/2 = chi-square value at 14 degrees of freedom and 0.975
= 26.119
Therefore, the critical values for the 95% confidence interval for the population standard deviation with n=15 and α=0.05 are 6.262 and 26.119 (rounded to three decimal places).
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Complete question is below
determine the critical values for the confidence interval for the population standard deviation from the given values. round your answers to three decimal places. n=15 and α=0.05.
△abc has a right angle at c, bc=9.2 centimeters, and m∠a=63∘. what is ca ? enter your answer rounded to the nearest tenth in the box. cm
The box's CA measures 4.7 cm in length.
Given data;
△ABC has a right angle at C, BC = 9.2 centimeters, and ∠A=63°
To know CA;
Let CA = x
As per the given case,
In a triangle sum of angles = 180°
90° + 63° + C = 180°
C = 27°
Now,
From the △ABC;
tan 63° = 9.2/x
x = 9.2/tan 63°
x = 4.687
x = 4.7
Therefore, the length of CA in the box is 4.7 cm
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