Answer:
It is not true unless one or both variables is equal to zero. If either x, y or both is 0, then the equation will be true.
Please answer please don’t ignore it.
Answer:
1)12+c
2)12-c
3)12/c
4)12c
Use the remainder theorem to determine whether or not x+3 is a divisor of px=2x3+4x2-2x+12.
The remainder theorem states that if a polynomial (px) is divided by a factor (x+3), the remainder is equal to the value of the polynomial when x is equal to the opposite of the factor's coefficient.
In this case, when x is equal to -3, the polynomial becomes p(-3) = 2(-3)^3 + 4(-3)^2 - 2(-3) + 12 = -36 + 36 - 6 + 12 = 6.
Since the remainder is 6, x+3 is not a divisor of px.
The remainder theorem can be used to determine that x+3 is not a divisor of px=2x3+4x2-2x+12, since the remainder when the polynomial is divided by the factor is 6.The remainder theorem states that if a polynomial (px) is divided by a factor (x+3), the remainder is equal to the value of the polynomial when x is equal to the opposite of the factor's coefficient.
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( x + 3 ) is the divisor of the given polynomial p(x) = 2x³ + 4x² -2x + 12 using remainder theorem
As given in the question,
Given polynomial is equal to :dd
p(x) = 2x³ + 4x² -2x + 12
Check whether ( x + 3 ) is s divisor of the given polynomial p(x) using remainder theorem we get,
Divisor is given by : x + 3
Apply remainder theorem we get,
p( -3 ) = 2( -3 )³ + 4 ( -3 )² - 2( -3 ) + 12
⇒ p ( -3 ) = 2(-27) + 4 (9) + 6 + 12
⇒ p(-3) = -54 + 36 + 18
⇒ p(-3) = 0
Therefore, by using the remainder theorem we conclude that ( x + 3 ) is the divisor of the given polynomial p(x).
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Write √-27 in simplest radical form.
Answer:
✓
Submit Ansv
The radical form of the number √ ( - 27 ) is given by the equation A = 3i√3
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be represented as n
The value of n = √( -27 )
Now , the value -1 can be represented as the complex number i
where i² = 1
So , the number n can be written as
A = √ ( 3i )² 3
A = √9i² (3)
A = √27i²
A = √-27
On simplifying the equation , we get
A = 3i√3
Therefore , the value of A is A = 3i√3
Hence , the equation is A = 3i√3
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Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation.
Robbie received a gift card for $20. He bought a cookie for $2.39 and 4 coffees. He still has some money left on the gift card. Which inequality could help you solve for c, the cost of each coffee in dollars?
Answer:
$4.40
Step-by-step explanation:
To find the cost of each coffee in dollars, you can use the inequality:
2.39 + 4c < 20
This inequality states that the total cost of the cookie and the four coffees is less than $20.
To solve for c, the cost of each coffee in dollars, you can start by combining like terms on the left-hand side of the inequality:
2.39 + 4c = 20 - 2.39
4c = 17.61
Then, divide both sides of the inequality by 4 to solve for c:
c = 17.61 / 4
c = $4.40
So, the cost of each coffee in dollars is $4.40.
Rewrite in Radical Exponent Form [tex]\sqrt[5]{34}[/tex]
Emily wants to buy turquoise stones on her next trip to New Mexico to give to at least 4 of her friends. The gift shop sells stones for either 4$ or 6$ per stone. Emily has no more than 30$ to spend. List 3 possible solutions.
The possible solutions for the stones Emily may buy as required in the task content are; ( 4, 0) , ( 0, 5 ) and ( 7.5, 0).
Which solutions are possible solutions of the given situation?It follows from the task content that the possible solutions to Emily's turquoise stone purchased situation be determined.
Let the number of $4 stones Emily can buy be; x
Let the number of $6 stones Emily can buy be; y.
Therefore, the inequalities which correctly represents the situation are;
x + y ≥ 4
4x + 6y ≤ 30.
By solving the given inequalities graphically; it follows that the solutions sets area enclosed by the point coordinates; ( 0, 4 ), ( 0, 5 ), ( 4, 0 ) and ( 7.5, 0 ).
On this note, the possible solutions for the number of $4 and $6 stones she can buy are; ( 4, 0) , ( 0, 5 ) and ( 7.5, 0).
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Solve the system by graphing.
$y=2x+9$
$y=6-x$
These system of equations has been solved graphically and their solution is equal to the ordered pair (-1, 7).
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis (x-coordinate) and y-axis (y-coordinate) respectively.
In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
y = 2x + 9 ........equation 1.
y = 6 - x ........equation 2.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (-1, 7).
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Ms. McGregor's class has just taken a test. The average of the 10 girls was 88 and
the average of the 14 boys was 83. What was the overall average for the entire class?
The overall average for the entire class was 85.08. The solution is obtained using the concept of arithmetic mean.
What is arithmetic mean?
A number is derived by dividing the total number of values in a set by the total number of elements in the set, and this is what is meant by the term "arithmetic mean."
We are given that the average score of the 10 girls was 88.
This means that the total score of girls was 10*88 = 880
Also, the average score of the 14 boys was 83.
This means that the total score of boys was 14*83 = 1162
The total number of students in the class = 10+14 = 24
The combined score of boys and girls = 880 + 1162 = 2042
Thus, the overall average for the entire class was
2042/24 = 85.08
Hence, the overall average for the entire class was 85.08.
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Is base angles of isosceles triangle are equal 1?
Yes, the base angles of an isosceles triangle are equal to each other.
The base angles of an isosceles triangle are equal because of the symmetry of the triangle. In an isosceles triangle, the two sides that are opposite the congruent angles are also congruent in length. This means that the triangle has a line of symmetry, or a line that divides it into two congruent halves. Since the triangle is symmetrical, the base angles are equal in measure.
Another way to understand why the base angles of an isosceles triangle are equal is to consider the definition of an isosceles triangle. An isosceles triangle is defined as a triangle with at least two congruent sides. Since the base angles are opposite the congruent sides, they must also be congruent. Therefore, the base angles of an isosceles triangle are equal.
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yes , base angles of isosceles triangle are equal 1 because An isosceles triangle is a triangle with two sides of equal length and the base angles of the isosceles triangle are equal in length.
The sides of equal length are called the legs of the triangle, and the third side is called the base. The base angles of an isosceles triangle are the angles formed by the base and the legs of the triangle. Since the base angles are formed by the base and the legs of the triangle, which are both congruent (i.e., have the same length), the base angles must also be congruent. In other words, the base angles of an isosceles triangle are equal.
The vertex angle of an isosceles triangle is the angle formed by the two legs at the apex of the triangle. This angle is always larger than the base angles, and its measure is equal to the sum of the measures of the base angles. For example, if the base angles of an isosceles triangle have a measure of 45 degrees each, the vertex angle will have a measure of 90 degrees (45 + 45). In summary, the base angles of an isosceles triangle are congruent and equal, and the vertex angle is larger than the base angles and is equal to the sum of the measures of the base angles.
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A 250 g sample is composed of 150 g of
sodium (Na) and 100 g of chlorine (CI).
What is the percent by mass of Na in the
sample?
The percentage by mass of Na in the sample will be 60%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A 250 g sample is composed of 150 g of sodium (Na) and 100 g of chlorine (CI).
Then the percent by mass of Na in the sample will be given as,
P = (150 / 250) x 100
P = 0.60 x 100
P = 60%
The percentage by mass of Na in the sample will be 60%.
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What will their average rate need to be if they have t hours to exercise ?
The number of hours it take if she bikes at an average rate of 8 miles per hour is 1.25 hour.
What is the average speed?Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Given that, Kiran's aunt plans to bike 10 miles.
1. She bikes at an average rate of 8 miles per hour
We know that, Time=Distance/Speed
= 10/8
= 1.25 hour
2. She bikes at an average rate of r miles per hour
Now, time =10/r hours
3. Kiran wants to join his aunt but only has 45 minutes to exercise.
Now, distance =Speed×Time
= 8×45/40
= 6 miles
4. Average rate need to be if they have t hours
Average rate =(10+6)/(t
= 16/t miles per hour.
Therefore, the number of hours it take if she bikes at an average rate of 8 miles per hour is 1.25 hour.
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"Your question is incomplete, probably the complete question/missing part is:"
Kiran's aunt plans to bike 10 miles.
1. How long will it take if she bikes at an average rate of 8 miles per hour?
2. How long will it take if she bikes at an average rate of r miles per hour?
3. Kiran wants to join his aunt but only has 45 minutes to exercise. What will him to finish on time?
4. What will their average rate need to be if they have t hours to exercise?
The Sum of 11011 two, 11111two and 10000two is 10m10n0two find the values of m and n
The sum of the number in the binary form is 1001010 and the values of m is 0 and n is 1.
What is binary number?Binary Number System: A binary number is a number that is stated in the binary system or base 2 numeral system, according to mathematics. It uses the symbols 1 (one) and 0 to represent different numeric values (zero). The notation with 2 as a radix is known as the base-2 system.
The binary number can be expressed in decimals as follows:
[tex]11011_2 = 1 * 2^4 + 1*2^3 + 0*2^2+ 1*2^1 +1*2^0\\\\11011_2=27[/tex][tex]11111_2 = 1*2^4 + 1*2^3+1*2^2+ 1*2^1+1*2^0\\\\11111_2= 31\\\\10000_2= 1*2^4\\\\10000_2 = 16[/tex]
The sum of all the numbers is:
27 + 31 + 16 = 74
To convert the decimal in the binary form, divide the number continuously and note the remainder until it cannot be divided any further.
74 ÷ 2= 37= 0
37 ÷ 2 = 18 = 1
18 ÷ 2 = 9 = 0
9 ÷ 2 = 4 = 1
4 ÷ 2 = 2 = 0
2 ÷ 2 = 1 = 0
1 ÷ 2 = 0 = 1
So, the number in the binary form is 1001010 and the value of m is 0 and n is 1.
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Emily is setting up a "Bob for Apples" tent at a fair. She bought 13 bags of apples and put them all in a huge tub. If there are a total of 78 apples in the tub, how many apples were in each bag?
If 78 apples are in the tub, there are 6 apples in each bag
What is division?A division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 40 members into 4 groups of 10 members each or 10 groups of 4 members each, Or creating 2 groups of 20 members or 20 groups of 2 members.
This means that when dividing 40 by 10 we get 4 and when dividing 40 by 4 we get 10.
Emily sets up a tub by buying 13 bags of apple. The total apple in the tub when the 13 bags were poured are 78 apples.
Therefore to find the number of apple in each bad, we divide the total number of apple in the tub by the number of bags.
= 78/13 = 6 apples per bag
Therefore the number of apple in each bag is 6.
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Geometry find length of third side
Answer:
1
Step-by-step explanation:
Using the Pythagorean theorem, the length of the third side is [tex]\sqrt{(\sqrt{5})^2-2^2}=1[/tex].
Rearrange the equation so nnn is the independent variable. m + 1=-2(n + 6).
The equation with 'n' as the independent variable is m = -2n - 13.
To rearrange the equation so that n is the independent variable, you can start by moving all of the terms with n on one side of the equation and all of the other terms on the other side.
You can start by subtracting 1 from both sides of the equation to get
m = -2(n + 6) - 1.
Then, you can distribute the -2 on the right side of the equation to get
m = -2n - 12 - 1.
Finally, you can combine the constants on the right side of the equation to get m = -2n - 13.
Therefore, the equation with 'n' as the independent variable is m = -2n - 13.
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On Monday Alina rode 5 miles on a bike on Tuesday she rode 10 miles on Wednesday she would three times farther than she did Monday and Tuesday combined how many miles has Alina written so far this week
the answer is 60
Step-by-step explanation:
10+5=15 x 3 45+ 15 =60
A company that makes crayons is trying to decide which colors to include in a promotional mini-box of crayons. The company can choose the mini-box colors from its collection of colors. How many mini-boxes are possible?
There are 2.97 * 10^9 ways that the colors can be chosen.
What is permutation?We talk about the term permutation when we have to make a selection and the order of the selection has been taken to be important. In that case the order bcd would be different from the order cbd.
Hence, we could be able to use the formula for the permutation of the colors that are in the box and we would have the result as the use of the formula;
P = n!/ (n - r)!
n in this case would be the number of the boxes that we have and we would thus have;
P = 65!/(65 - 5)!
P = 65 * 64 * 63 * 62 * 61 * 60!/60!
P = 2.97 * 10^9 ways
Thus, in the selection of the colors from the boxes, we can see that it is possible to do the selection using permutation in about 2.97 * 10^9 ways.
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Missing parts;
A company that makes crayons is trying to decide which 5 colors to include in a promotional mini-box of 5 crayons. The company can choose the 5 mini-box colors from its collection of 65 colors. How many mini-boxes are possible?
Discuss the difference between r and p.
Choose the correct answers below.
r represents the
p represents the
sample correlation coefficient.
critical value for the correlation coefficient.
population correlation coefficient.
Click to select your answer(s)
1-35 of 35
Type here to search
o He
The differences that exists between r and p are:
r represents the sample correlation coefficientp represents the population correlation coefficientWhat is the sample correlation coefficient?When points in a scatter plot are plotted against a linear regression line based on those points, as in the example when solving for cumulative savings over time, the sample correlation coefficient (r) is a measurement of how closely the points are associated.
What is the population correlation coefficient?The correlation coefficient (ρ) is a metric for estimating how closely two variables' movements are related. The Pearson product-moment correlation is used to calculate the most popular correlation coefficient, which is used to assess the linear relationship between two variables.
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What is the shortest side AD AC CB or AB
PLS HELP
Answer: DC
Step-by-step explanation: shortest angle is on the opposite side of the shortest side
Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast each of them boards a different tourist vehicle from the nearest bus-depot, After three hours, Sumit who had gone to a famous beach, calls on the mobile of Pramit and claims that he has observed a shark in the waters, Pramit learns from the local guide that at that time of the year, only eight sea-creatures (including a shark) are observable and the probability of observing any creature is equal. However, Amit and Pramit later recall during their discussion that Sumit has a reputation for not telling the truth five out of six times. What is the probability that Sumit actually observed a shark in the waters?
The probability that Sumit actually saw a shark is 1/36.
ProbabilityThe area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the question, we can say
Let us assume that Sumit has actually seen 1 creature.
The probability that it is a Shark and Sumit reports it correctly = (1/8)(1/6) = (1/48)
The probability that it is not a Shark and Sumit claims that it is = (7/8)(5/6) = (35/48)
Therefore,
The probability that Sumit actually sees a Shark, given that he claimed to have seen one = [(1/8)(1/6)] / [(1/8)(1/6) + (7/8)(5/6)] = 1/36
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Convert 750 US dollars to British pound sterling. Use 1 US dollar ≈ 0.62 British pound sterling.
Answer:
4.65 British pound sterling
Step-by-step explanation:
[tex]7.50*0.62 = 4.65[/tex]
7.5 U.S. dollars = 4.65 British pound sterling
Mason measured a line to be 1. 4 inches long. If the actual length of the line is 1. 5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?.
Answer:
The percent error of the measurement is 6.7%
Step-by-step explanation:
The percent error of a measurement is a measure of how accurate the measurement is compared to the actual value. It is calculated using the following formula:
percent error = (measured value - actual value) / actual value * 100%
In this case, the measured value is 1.4 inches and the actual value is 1.5 inches. Plugging these values into the formula, we get:
percent error = (1.4 - 1.5) / 1.5 * 100% = -0.1 / 1.5 * 100% = -6.67%
This means that the measurement was off by 6.7% compared to the actual value.
It's important to note that a negative percent error indicates that the measured value is less than the actual value, while a positive percent error indicates that the measured value is greater than the actual value. In this case, the measured value of 1.4 inches is less than the actual value of 1.5 inches, so the percent error comes out to be negative.
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Find the distance between the two points.
(-4,3)
(2,5)
√ [?]
Enter the number that
goes beneath the
radical symbol.
Enter
The number that goes beneath the radical symbol is 40.
To find the distance between the two points (-4,3) and (2,5), you can use the distance formula:
distance = √[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the values, you get:
distance = √[(2 - (-4))^2 + (5 - 3)^2]
Simplifying the expression, you get:
distance = √[6^2 + 2^2]
Which simplifies to:
distance = √[36 + 4]
Simplifying further, you get:
distance = √40
So the distance between the two points is √40. The number that goes beneath the radical symbol is 40.
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Answer:
40
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 4, 3 ) and (x₂, y₂ ) = (2, 5 )
d = [tex]\sqrt{(2-(-4))^2+(5-3)^2}[/tex]
= [tex]\sqrt{(2+4)^2+2^2}[/tex]
= [tex]\sqrt{6^2+4}[/tex]
= [tex]\sqrt{36+4}[/tex]
= [tex]\sqrt{40}[/tex]
At age 16, Angel's intelligence score was 110. What will her score probably be at age 32? a) 125 b) 115 c) 110
Option C : At age 32, Angel's intelligence score wil be 110 , While her score at age 16 be 110 .
To calculate IQ, take a person's mental age, divide it by chronological age, then multiply that number by 100 .
An IQ test assesses a variety of cognitive skills and yields a score that is meant to be used as a gauge of a person's potential and intellectual process. Among psychological testing, IQ tests are frequently used. The organisation Mensa International, which serves persons with IQs in the top 2%, defines IQ as "a form of standard score that reflects how far above, or how far below, his/her peer group an individual stands in mental capacity."
There are many different intelligence tests available, and they might have very distinct contents. Three Many medications are made expressly to be given to children, but some are used for adults. There are several uses for IQ tests, including Educational assessment and placement,Assessment and diagnosis of intellectual disability ,Cognitive research,Job candidate evaluation.
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Why are t statistics more variable than z-scores? a. The extra variability is caused by variations in the sample variance. b. The extra variability is caused by variations in the sample mean. c. None of the other options explains the extra variability for t statistics. d. The extra variability is caused by variations in the df value.
d. The extra variability is caused by variations in the df value.
T-statistics are used to test hypotheses about the mean of a population when the standard deviation of the population is unknown and the sample size is small.
The t-distribution is similar to the standard normal distribution (z-distribution) but it has flatter tails and is more spread out. This extra spread is caused by the fact that the t-distribution is based on the sample size, which is reflected in the degrees of freedom (df) value.
The larger the sample size, the closer the t-distribution is to the standard normal distribution, and the more similar the t- and z- statistics will be.
In contrast to this, as the sample size decrease, the t-distribution becomes more spread out and t- statistics are therefore more variable than z-scores.
This increased spread means that t-statistics have a higher chance of falling into the tails of the distribution, which leads to a greater likelihood of a type I error (rejecting a true null hypothesis) or a lower power (failing to reject a false null hypothesis).
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Which graph represents the inequality y> 1-3x?
The graph of the inequality y > 1 - 3x is shown in figure.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The equation of inequality is,
⇒ y > 1 - 3x
Now,
Since, The inequality is,
⇒ y > 1 - 3x
Hence, The graph of inequality y > 1 - 3x is shown in image by shaded ''red region.''
Thus, The red region of the graph is shows the graph of inequality
y > 1 - 3x.
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the Ortega family made 15/16 pound confetti for the annual fiesta celebration in san Antonio. they used 1/4 pound to make confetti filled eggs. how much confetti is left to use next year?
The Ortega family will have a fraction of 11/16 amount of confetti left to use next year.
How to evaluate the fraction of confetti leftWe shall convert the fractions to have similar denominators and simply apply subtraction for the numerators as follows:
fraction of confetti used = 1/4
pound of confetti made = 15/16
LCM of 4 and 16 is 16 so;
fraction of confetti used = 1/4 × 16/16
fraction of confetti used = 4/16
amount of confetti left = (15 - 4)/16
amount of confetti left = 11/16
Therefore, the Ortega family will have the fraction of 11/16 of confetti left.
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Need Help ASAP!!
Find the area of the shaded region. Round to the nearest tenth.
5cm and 60 degrees
The area of the shaded region of the circle with radius of 5 cm and sector with an angle of 60° is 76.3 cm²
What is the area of a part of a circle?The area of a part of a circle can be found by finding the difference between the area of the circle and the area of the unshaded part of the circle.
The triangle formed by the two radii of length 5 cm with an included angle of 60°, and the chord at the boundary of the shaded region is an isosceles triangle which with the vertex angle of 60°, indicates that the triangle is an equilateral triangle.
The formula for the area, A, of an equilateral triangle of side length s is; A = ((√3)/4) × s²
The side length of the equilateral triangle formed by the radii is; s = 5 cm
Therefore;
Area of the equilateral triangle in the question is; [tex]A_{\Delta}[/tex] = ((√3)/4) × 5²
Area of the minor sector formed by the two radii, [tex]A_{sector}[/tex] = (60°/360°) × π·r²
[tex]A_{sector}[/tex] = π×5²/6
The area of the shaded region = Area of the circle - [tex]A_{sector}[/tex] - [tex]A_{\Delta}[/tex]
Therefore;
Area of the shaded region = π×5² - π×5²/6 - ((√3)/4) × 5² ≈ 76.3
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State if the three numbers can be the measures of the sides of a triangle.
1) 6,6,5
2)3,10,7
3)7,2,5
4)2,8,5
The three numbers are 1) 6,6,5. Option A
What is the triangle inequality theorem?Generally, To determine if three numbers can be the sides of a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For cases of 1) 6,6,5:
6 + 5= 11, which is greater than 6, so these three numbers can be the lengths of the sides of a triangle.
For the case of 2) 3,10,7:
3 + 7= 13, which is not greater than 10, so these three numbers cannot be the lengths of the sides of a triangle.
For the case of 3) 7,2,5:
5+ 2= 7, which is not greater than 7, so these three numbers cannot be the lengths of the sides of a triangle.
For the case of 4) 2,8,5:
2 + 5= 7, which is not greater than 8, so these three numbers cannot be the lengths of the sides of a triangle.
Therefore, the three numbers is 1) 6,6,5
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