Answer:
3p^3 (-p^4 + 1)
Step-by-step explanation:
The common factor of both -3p^7 and 3p^3 is 3p^3
Divide -3p^7 by 3p^3 and get -p^4
Divide 3p^3 by 3p^3 and get 1
So the factorisation is 3p^3 (-p^4 + 1)
What does this symbol mean ∈?
A hat symbol (^) is used to represent an estimated value in regression analysis.
We know that in regression analysis, the predicted values are the y-hat values.
Here y is the output variable or dependent variable
A 'hat' symbol (^) is used to denote an estimator.
A ^ symbol is placed over the variable name to denote the estimated value.
In matrix system, a hat matrix is nothing but the projection matrix.
It projects the vector of observations, y, onto the vector of predictions, y^
We know that a vector has magnitude and direction. A ^ symbol is used is represent the direction of unit vector.
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A spinner is divided into 6 equal regions, numbered 10 through 15. An arrow is spun and lands on one of the numbers. What are the odds of the arow landing on a number that is greater than 10?
A.
0.1667
B.
0.333
C.
0.667
D.
0.833
Answer: Option D (0.833)
Step-by-step explanation:
There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).
Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833
Swaggerty
1. Rose and Andrew are financing $128,000 to purchase a condominium. They obtained a 15-year, fixed-rate loan with a rate of 5. 5%. They have been given the option of purchasing up to four
points to lower their rate to 4. 81%. How much will the four points cost them?
For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by $26786.2.
As given in the question,
Principal amount 'P' = $128,000
Time 't' = 15 years
Rate of interest 'r' = 5.5%
= 0.055
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 5.5 / 100 )^15
= $285756.99
Now when the rate of interest is changed to
Rate of interest 'r' = 4.81%
= 0.0481
Total amount 'A' received is given by the formula :
A = P ( 1 + r/100 )^n
= 128,000 ( 1 + 4.81 / 100 )^15
= $258970.79
Now, the cost of four points is given by:
= $( 285756.99 - 258970.79 )
= $ 26786.2
Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to $26786.2.
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Jump to level 1
Housing prices in a small town are normally distributed with a mean of
$142,000 and a standard deviation of $7. 0. Use the empirical rule to
complete the following statement.
Approximately 95% of housing prices are between a low price of
$ Ex: 5000 and a high price of $
Modul Three Assignment Gui.
4. 2. Normal distribution - Goog.
By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.
What is standard deviation in math?
The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.
A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.
Given,
mean (μ) = 142000
standard deviation (σ ) = 7000
By using empirial rule,
P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%
Then,
P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%
P( 135000 ≤ x ≤ 149000 ) ≅ 68%
68% housing price are between a low price of $135000 and a high price of $149000.
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3: 5 and 2:10 is are equivalent . explain
The ratios are not equivalent.
Lani is making a cake in the shape of a cone. to make the cake, she uses a cone shape mold. the mold has a diameter of 10 inches and a height of 12 inches. what is the volume of the cake? use 3.14 for pi. round to the nearest tenth, if necessary. responses 125.6 in³ 125.6 in³ 314 in³ 314 in³ 942 in³ 942 in³ 1256 in³
The volume of the cake Lani is making is 314 inches³.
Volume is defined as the amount of space a figure occupies. The formula for the volume of a cone is given by:
V = πr²h/3
where V = volume
r = radius of the base of the cone
h = height of the cone
π = 3.14
If the cone shape mold has a diameter of 10 inches, then its radius is equal to half of 10 which is 5 inches.
Plug in the values to the formula and solve for the volume.
V = πr²h/3
V = (3.14)(5 inches)²(12 inches)/3
V = 314 inches³
Hence, the volume of the cake is 314 inches³.
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The odds that a bag of flour weighs enough to pass inspection are 20:1.
What is the probability that a bag of flour passes inspection?
Enter your answer as a decimal rounded to the nearest thousandth, like this: 0.423
The probability that a bag of flour passes inspection is 0.05.
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true. In this case, the probability of an event us usually represented as a number between 0 and 1.
In this case, the odds that a bag of flour weighs enough to pass inspection are 1:20. The probability that a bag of flour passes inspection will be:
= 1/20
= 0.05
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Complete question
The odds that a bag of flour weighs enough to pass inspection are 1:20. What is the probability that a bag of flour passes inspection?
[tex]{x}^{2} + x - 2[/tex]
solve this with first X last method
Answer:
[tex]x=-2,1[/tex]
Step-by-step explanation:
[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]
How do i find the solution(s) ?
Answer:
-8 , (0, -8)
Step-by-step explanation:
Y-interceptsThe y-intercept of a line is where a line intersects the y-axis, or the vertical axis.
SolutionReferring to the picture given, the y-intercept is -8 with the coordinates (0, -8)
Answer:
The vertex is (1,-9)
The y intercept is (0, -8)
Step-by-step explanation:
This is a parabola. The vertex is the low point since the parabola is opening upwards.
The vertex is (1,-9)
The y intercept is where it crosses the y axis. The y intercept is (0, -8)
Why will the speedup of a parallel algorithm will eventually reach some limit?
The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.
What is a parallel algorithm's speedup factor?The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.
The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.
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What is the difference of the two polynomials 9x² 8x )-( 2x² 3x?
The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:
(9x² + 8x) - (2x² + 3x) = (9x² - 2x²) + (8x - 3x) = 7x² + 5xSo, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.
It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.
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Freddy is helping buy ingredients for salads for the school spaghetti dinner he bought 10 pounds of onions at $0.69 per pound 100 pounds of tomatoes at $0.99 pound 1,000 pounds of break cumbs at $0.09 per pound and 100 pounds of lettuce at $0.69 per pound which of the items he bought cost the most?
Answer:
Answer: Tomatoes If you multiply 10 x 0.69 (for onions) it would be 6.9If you multiply 100 x 0.99 (for tomatoes) it would be 99Lastly, if you multiply 100 x 0.69 (for lettuce) if would be 69Which are the most? Tomatoes.~ Hope this helps
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Find the coefficient of the $x^2$ term in the expansion of the product$$(2x^2 3x 4)(5x^2 6x 7).$$
The coefficient of [tex]x^{2}[/tex] in [tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex] is -3.
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves. The coefficient in an expression that is not related to any variables is called the constant coefficient (also known as constant term or free coefficient).
Given equation,
[tex](2x^{2}-3x-4)-(5x^{2}+6x-7)[/tex]
= [tex]2x^{2}-3x-4-5x^{2}-6x+7[/tex]
= [tex]-3x^{2}-9x+3[/tex]
Hence, coefficient of [tex]x^{2}[/tex] is -3.
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How many types of angle are there in class 6?
In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.
Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.
It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.
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Solve for x in this triangle. Round your answer to the nearest tenth. 37⁰ X 14
Answer:
x ≈ 18.6
Step-by-step explanation:
using the tangent ratio in the right triangle
tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )
x × tan37° = 14 ( divide both sides by tan37° )
x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )
If a piece of luggage has a height of 20.5 inches and a length of 14.75 inches, what is the maximum width
allowed for that piece of luggage?
A)9.75in
B)10.2in
C)10.25in
D)11.8in
The maximum possible width of the box will be equivalent to
w = (V/302.4).
What is the volume of the cuboid?The volume of cuboid is given by -
V{C} = Length x Breadth x Height
Given is a piece of luggage has a height of 20.5 inches and a length of 14.75 inches.
We can write the volume of the box as -
V{b} = L x B x H
Assume the volume of the box is {V} cubic inches and its width be {w} inches. So, we can write the inequality as -
(20.5 x 14.75 x w) = V
w = (V/302.4)
Therefore, the maximum possible width of the box will be equivalent to
w = (V/302.4).
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five plus two times a number n is less than or equal to eleven. select all of the representation's that are solutions.
1) n less than or equal to 3
2) 3 less than or equal to n
3) n less than or equal to 8
4) 3 greater than or equal to n
Answer:
The worded problem translates to n ≤ 3
The options that are solutions to the problem are 1 and 4:
1) n less than or equal to 3, and
4) 3 greater than or equal to n (since 3 ≥ n)
Step-by-step explanation:
Let's translate the e=words into expressions:
"five plus two times a number n" becomes 5 + 2n
"is less than or equal to eleven" becomes ≤ 11
Put the two expressions together, with the word "is" and the "=" sign:
5 + 2n ≤ 11
Solving:
2n ≤ 11 - 5
2n ≤ 6
n ≤ 3
The options are:
1) n less than or equal to 3 Correct
2) 3 less than or equal to n Incorrect. 3 is greater than or equal to n
3) n less than or equal to 8 Incorrect. n is less than or equal to 3
4) 3 greater than or equal to n Correct 3 ≥ n
Solve x^2+2x>15 algebraically and graphically, brainliest to the best detailed answer, including the steps.
The algebraic solutions are x < -5 and x > 3.
The graph is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x² + 2x > 15
x² + 2x - 15 > 0
x² + (5 - 3)x - 15 > 0
x² + 5x - 3x - 15 > 0
x(x + 5) - 3(x + 5) > 0
(x - 3)(x + 5) > 0
x + 5 > 0 and x - 3 > 0
x < -5 and x > 3
The graph is given below.
Thus,
x < -5 and x > 3 is the solution.
The graph is given below.
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Question 2 (Essay Worth 2 points)
(05.06 HC)
Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning.
In accordance with comparative comparative, the x-intercept of function g(x) = ㏒ (x + 4) is equal to x = - 4.
How to determine the x-intercept of a logarithmic functionAccording to function theory, a function f(x) has an x-intercept when f(x) exists for x = 0. Besides, logarithms of 1 for any base is equal to zero, that is:
Logarithm of 1 at any base.
㏒ₐ 1 = 0
If ㏒ x = 0, then x = 1. And if ㏒ (x + 4) = 0, then x + 4 = 0, that is, x = - 4.
Then, by direct comparison between the two logarithmic expression, the logarithmic function g(x) = ㏒ (x + 4) has x = - 4 as its x-intercept.
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Find the value of xif V√81 = 3.
OA) 4
OB) 2
OC) 8
OD) 27
The value of exponent x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4, in the given equation.
What is exponent?
Exponent is the process of expressing large numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6×6×6×6. 6⁴ can be used to represent this. In this case, the base is 6 and the exponent is 4. You can interpret this as 6 raised to the power of 4.
Exponents are represented by the symbol. The word "carrot" refers to this symbol (). 4 raised to a power of two, for instance, can be expressed as 4^2 or 4². Thus, 4^2 = 4 × 4 = 16. A few exponent-based numerical expressions are represented in the table below.
The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex]
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81
Thus, The value of x, if [tex]$\sqrt[\text X]{81} = 3[/tex], is 4.
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Researchers will conduct a year-long investigation of walking and cholesterol levels in adults. They will select a random sample of 100 adults from the target population to participate as subjects in the study. (a) One aspect of the study is to record the number of miles each subject walks per day. The researchers are deciding whether to have subjects wear an activity tracker to record the data or to have subjects keep a daily journal of the miles they walk each day. Describe what bias could be introduced by keeping the daily journal instead of wearing the activity tracker.
(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.
(b) - The researcher can use the results of the study to make generalization to the entire population.
Bias
A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.
generalization
It is the tendency to respond in the same way to different but similar stimuli.
A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.
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What is true about the sum of the two polynomials 6 s 2 t − 2 st 2 4 s 2 t − 3 st 2?
The sum of the two polynomials 6s²t – 2st² and 4s²t – 3st² is 5(2s²t – st²) in factorized from.
What is polynomials?One or more algebraic terms (monomials) are combined mathematically to form a polynomial. Poly- (many) and -nomial (terms) are the roots of the word "polynomial".
A polynomial can have exponents (powers), constants (numbers), and variables (letters), but never negative exponents or division by a variable.
In standard form, polynomials prefer to be expressed. In addition, the exponents are arranged in descending order because they don't contain any similar terms (largest to smallest).
The sum of two polynomial is
⇒6s²t – 2st² + 4s²t – 3st²
= 6s²t + 4s²t – 3st²– 2st²
= 10s²t – 5st²
= 5(2s²t – st²)
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Full question
What is true about the sum of the two polynomials?
6s²t – 2st² and 4s²t – 3st²
How do you solve a 3 by 3 system of equations using matrices?
The solutions can be read off of the diagonal entries in the reduced matrix.
To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 10
and DC = 4, what is the length of AD?
AC = 25 units is the length of AD.
A right triangle is divided into three equal halves by the height of the hypotenuseThe Geometric Mean (Altitude) Theorem (9.7) The hypotenuse of a right triangle is split into two pieces by the height from the right angle. The geometric mean of the lengths of the two hypotenuse segments determines how long the altitude is.
Length of BC = 10 units
Length of DC = 4 units
We will use geometric mean theorem in the given right triangle to get the length of side AC.
[tex]hypotenuse/leg=leg/projection\\AC/BC=BC/DC\\x/10=10/4\\x=25[/tex]
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Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.
What is the unit rate?A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.
Given, Joyce painted 8 window frames in 5 hours while earning money for college.
Her painting rate in window frames per hour is = 8 /5
Her painting rate in window frames per hour is = 1.6
Her painting rate in hours per window frame is = 5/8
Her painting rate in hours per window frame is = 0.625
therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.
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what is 13 divided by 12
Answer:
1.0833333333333333333333333333333333 (repeats)
Step-by-step explanation:
use a calculator
What is the solution of the equation x 3y 6 and 2x 3y 12?
The solution of the equation is x = 6, y = 0.
1. Subtract the two equations:
x3y6 - 2x3y12 = 0
2. Simplify both sides of the equation:
x3y - 2x3y = 0
3. Simplify further calculations:
x3(y - 2y) = 0
4. Factorize the expression:
x(y - 2y) = 0
5. Solve for x:
x = 0
6. Substitute x = 0 into either equation:
3y = 6
7. Solve for y:
y = 2
8. Substitute y = 2 into either equation given above:
x = 6
The solution of the equation is x = 6, y = 2.
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Question 3(Multiple Choice Worth 5 points) (05.01)A window is 4 feet wide and 8 feet tall. A rectangle is shown. The length of the rectangle is labeled 4 feet. The width of the rectangle is labeled 8 feet. A manufacturer wants to use a scale factor of 1.5 to enlarge a window. What will the area of the window be after it is enlarged
Answer: 72 feet²
Step-by-step explanation: Area scale factor = 1.5² = 2.25 Area of the window after it is enlarged = Original area × 2.25 The original area = 8 feet × 4 feet = 32 feet² Area of the window after it is enlarged = 32 feet² × 2.25 = 72 feet²
If m/KLH = 134°, solve for x.
19=134+2
H
25°
N
(4x + 9)°
L
K
Step-by-step explanation:
KLH is a triangle, and the sum of all angles in a triangle is 180°.
now, we know the angle at L = 134°.
because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.
and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.
so, we have
180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x
12 = 4x
x = 12/4 = 3
A Lamborghini driver left at 17:50h on an all night journey. The journey took him 14hrs. At what time he reach his destination?
Answer:
7:50 am in the morning
Step-by-step explanation:
17:50pm = 5:50pm
first simply this by only adding 12 hours
12 hours later- 5:50 am
Then add 2 hours to get the answer
14 hours- 7:50 am in the morning.
( I think)
...