Answer:
x = -3, x = 3
Step-by-step explanation:
The answer of an abosulte value is always positive. So, when you put a positive number in an absolute value, you will get a positive value (in this case 3). Also, you have to put the negative number in an absolute value (in this case -3).
Hope this helps!
NO LINKS!!! URGENT HELP PLEASE!!!
Express the statement as an inequality.
a. x is negative
1. x = 0
2. x < 0
3. x > 0
4. x ≥ 0
5. x ≤ 0
b. y is nonnegative .
1. y < 0
2. y ≥ 0
3. y ≤ 0
4. y = 0
5. y > 0
c. q is less than or equal to π
1. q = π
2. q < π
3. q > π
4. q ≥ π
5. q ≤ π
Answer:
Step-by-step explanation:
a. x is negative: x < 0
b. y is nonnegative: y ≥ 0
c. q is less than or equal to π: q ≤ π
Answer:
a.
2. x < 0
b.
2. y ≥ 0
c.
5. q ≤ π
Step-by-step explanation:
To express the given statements as an inequality, we need to determine the relationship between the given quantities.
a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.
b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.
c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.
Given that ABCD is a rhombus, find the value of x. 4 (X +40) A. 75 B. 52 C. 25 D. 46 F. 26
the value of variable x in the rhombus is Option (c) 25.
Definition of a rhombusA parallelogram is a particular instance of a rhombus. opposite sides and angles of the rhombus are parallel and equal. The rhombus has equal-length sides on each side, and its diagonals meet at right angles to form its shape as square. The rhombus is sometimes called as a diamond or rhombus.
Let O be the intersection point of the line AC and the line BD in the rhombus.
This two lines intersect at a 90° angle in the center. ( Property of Rhombus)
∠AOD=90°
According to the question:∠AOD+∠OAD+∠ODA=180° (triangle sum property)
90°+x+x+40°=180°
2x=180°-130°
x=25
Hence the value of x=25.
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Skylar has 12 pieces of candy left in her Halloween bag. There are 8 pieces of chocolate and 4 pieces of non-chocolate. She
chooses a piece of candy at random and then chooses another piece of candy, without replacement. Draw a tree diagram to
represent this situation and use it to calculate the probabilities that she picks:
Two pieces of non-chocolate
Chocolate only
At least one piece of chocolate
One piece of each type
The others operate in a similar manner. The following must be done, however, in order to determine the probability of anything NOT occurring, such as drawing a sweet that is NOT a kit-kat: 1 - P(kit-kat)
What is probability?Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. The value is expressed as a number between 0 and 1.To forecast how likely occurrences are to occur, probability has been introduced in mathematics. The words "probable" and "probability," as well as its cognates in various modern languages, come from the medieval Latin word "probabilis," which Cicero borrowed and used to denote "plausible" or "commonly accepted" in expressing opinions.You only need to multiply the quantity of the selected candy by the total number of candies if you choose to put each piece of candy back after choosing it.
In this case, the desired confectionery is P(snickers). 12 in number.
In total, the bag contains 20 sweets.
P(snickers) = 12/20 = 3/5
The others function in the same way. The following must be done, however, in order to determine the likelihood of anything NOT occurring, such as drawing a sweet that is NOT a kit-kat:
1 - P(kit-kat)
The complete question is:
Suppose a bag of candy contains 12 Snickers, 5 Kit-Kats, and 3 Three Musketeers. Find each probability if you choose one piece of candy at random.
a) P(Snickers) b) P(Kit-Kat) c)P(Three Musketeers) d) P(not Kit-Kat)
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Find the slope from the table.
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
need help writing a function
n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.
What is a linear equation in mathematics?
A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.
A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.
Roots : -3(mult . 2), 4(mult.2)
the function is given as
f(n) = (n + 3)² (n - 4)²
= (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)
= (n² + 6n + 9) (n² - 8n + 16 )
= n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1
collecting like term,
f(n) = n⁴ - 2n³ - 23n² + 24n + 144
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4,7,14,49, next number is what
A glass jar contains 6 red, 5 green, 8 blue and 3 yellow marbles. If a single marble is
chosen at random from the jar, what is the probability of choosing a red marble?
Answer:
Probability [choosing a red marble] = 3 / 11
Step-by-step explanation:
Given:
Number of red marble in jar = 6
Number of green marble in jar = 5
Number of blue marble in jar = 8
Number of yellow marble in jar = 3
Find:
Probability [choosing a red marble]
Computation:
Total number of marble = 6 + 5 + 8 + 3
Total number of marble = 22 marble
Probability of an outcome = Favorable outcome / Number of total outcomes
Probability [choosing a red marble] = Number of red marble in jar / Total number of marble
Probability [choosing a red marble] = 6 / 22
Probability [choosing a red marble] = 3 / 11
12. Find the missing angles in the triangles.
The missing angles on the figure are as follows
v = y = 90 degreesz = 52 degreesw = x = 45 degreesHow to find the missing anglesThe missing angles ae solved as follows
v = y vertical angles theorem
Examining the figure shows that
v + 90 = 180 angle on a straight line
hence v = 180 - 90 = 90
so we can say that v = y = 90
Also, y + 38 + z = 180 angles in a triangle
90 + 38 + z = 180
z = 180 - 90 - 38
z = 52 degrees
furthermore, w = x base angle of isosceles triangle
w + x + v = 180
w + x + 90 = 180
w + x = 90
hence w = x = 45 degrees
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6.6 x 108/3.3 x 10-4
2.0 x 104
2.0 x 10-12
2.0 x 1012
2.0 x 10
Please hurry
answer c a bf and d jwba I'm not sure really
The solutions to the equation $(x+1)(x+2) = x+3$ can be written in the form $m+\sqrt n$ and $m-\sqrt n$, where $m$ and $n$ are integers. What is $m+n$?
Answer:
1
Step-by-step explanation:
Hello, please consider the following.
First, we develop and move everything to the left side, then we solve the equation, using the discriminant.
Finally, we get the expression of the two solutions and we can conclude.
\((x+1)(x+2)=(x+3)\\\\<=> x^2+3x+2-x-3=0\\\\<=>x^2+2x-1=0\\\\\Delta=b^2-4ac=4+4=8\\\\x_1=\dfrac{-2-\sqrt{8}}{2}=\dfrac{-2-2\sqrt{2}}{2}=-1-\sqrt{2}\\\\x_2=\dfrac{-2+\sqrt{8}}{2}=-1+\sqrt{2}\)
So, m=-1 and n = 2
m+n = -1 + 2 = 1
Thank you
The value of m + n is 1.
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,
(x + 1)(x + 2) = x + 3
x² + 2x + x + 2 = x + 3
x² + 3x + 2 - x - 3 = 0
x² + 2x - 1 = 0
This is in the form of ax² + bx + c = 0
a = 1, b = 2, and c = -1
Now,
Using the determinant.
x = -b ± √(b² - 4ac) / 2a
x = -2 ± √(4 + 4) / 2
x = (-2 ± 2√2) / 2
x = (-1 ± √2)
x = -1 + √2
x = -1 - √2
Now,
The solutions can be written in the form of (m + √n) and (m - √n).
This means,
m + √n = -1 + √2
m - √n = -1 - √2
m = -1 and n = 2
Now,
m + n
= -1 + 2
= 1
Thus,
m + n is 1.
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What is the 200th term of the increasing sequence of positive integers formed by omitting only the perfect squares
Answer:
214
Step-by-step explanation:
I NEED HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The answers are:
27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5
The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.
The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.
The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.
The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.
As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.
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Write the number as the product of a real number and i square root 0f -25
Answer:
square root of -25 would be 5 multiplied by the imaginary unit i.
how do i find the range of this?? (pt 2)
The range for the given domain is represented by set {-9,-7,-5,-3,-1} or the interval [-9,-1] .
Domain and RangeThe domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
The question gives:
equation: y=2x-5domain: {-2,-1,0,1,2}You should find the values of y for each value of x in the domain. Thus
For x=-2y=2*(-2)-5=-4-5= -9
For x=-1y=2*(-1)-5=-2-5= -7
For x=0y=2*(0)-5=0-5= -5
For x=1y=2*(1)-5=2-5= -3
For x=2y=2*(2)-5=4-5= -1
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what is missing fraction
5/6 - _____=1/2
Answer:
2/6
Step-by-step explanation:
pls make me a brainlest
Also 1/2 is equal to 3/6 so 5/6 - 3/6 = 2/6
Answer:
2/6
Step-by-step explanation:
five minus two is 3 and 3 is half of six so you will subtract 2/6 to get 3/6 which equals 1/2
a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion
Answer:
The corresponding p - value will be is < 0.00001 which is less than 0.05
Step-by-step explanation:
Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014
For the probability that the survey will provide a sample proportion within 6.03 of the population proportion
we will find the z statistic
z= p^-p/√p(1-p)/n
But √p(1-p)/n= 0.014 and p^-p= 6.03
Putting the values
z= 6.03/0.014= 430.71
The corresponding p - value will be is < 0.00001 which is less than 0.05
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
By what percent does the number of wolves change each year?
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
Percent calculation.
To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.
The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.
To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:
Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
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Which two ratios represent quantities that are proportional?
A. 18/15 & 24/20
B. 4/6 & 9/12
C. 9/14 & 45/56
D. 33/18 & 66/26
Answer:
Option A 18/15 & 24/20
Step-by-step explanation:
Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
Ms. sullivan bought some pens at the school supply store, including 5 red pens. 25% of all pens she bought were red. How many pens did ms. Sullivan buy in all?
25% = 1/4
5 pens * 1/4 = 20 pens
Ms. Sullivan bought 20 pens in total
Answer:
20
Step-by-step explanation:
5 x 4 is 20.
The answer is 20. Hope this helps.
in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)
The value of the resistor needed in this scenario is approximately 1.2 ohms.
To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.
Using Ohm's Law, we have the formula:
V = I * R
Where:
V is the voltage across the resistor (12 volts in this case),
I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),
R is the resistance of the resistor (which we need to find).
Rearranging the formula, we have:
R = V / I
Plugging in the values:
R = 12 volts / 10 amps
R = 1.2 ohms
Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.
It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.
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The approximate populations of Kentucky and North Dakota (as of 2019) are listed
below:
Kentucky: 4.47 × 106
North Dakota: 7.62 x 105
How many times greater was the population of Kentucky than the population of
North Dakota? Write your answer in standard notation, rounding to the nearest
tenth.
The population of Kentucky is nearly 5.9 times that of North Dakota.
How to determine How many times greater was the population of Kentucky than the population of North DakotaTo determine how many times larger Kentucky's population is than North Dakota's population, divide Kentucky's population by North Dakota's population:
4.47 x 10^6 / 7.62 x 10^5
We can simplify the fraction by dividing both the numerator and denominator by 7.62 x 10: 4.47 x 106 / 7.62 x 105 = 5.87
5.9, rounded to the closest tenth.
As a result, the population of Kentucky is nearly 5.9 times that of North Dakota.
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Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)
Answer:
Answer by Yi Jing
Step-by-step explanation:
f(x)=x^3+5x+k and x+2 is a factor of f(x), then what is the value of k?
The value of k is 18.
If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.
Substituting x = -2 into f(x), we have:
f(-2) = (-2)³ + 5(-2) + k
= -8 - 10 + k
= -18 + k
Since f(-2) should equal zero, we have:
-18 + k = 0
k = 18
Therefore, the value of k is 18.
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QR=15;PR=28;PQ=15,Cos_=15/28
Answer:
I don't understand any thing can you read the question
please help thank you very much
Answer:5
Step-by-step explanation:
The value v of your quarters (in cents) is a function of n, the number of quarters you have.
1.)Draw an input-output diagram to represent this function.
2.) Write an equation that represents this function.
The equation that represents this function is v = 0.25n
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
We know that dollar $0.25 or 25 cents
If the value v of your quarters (in cents) is a function of n, then
v = 0.25n
w will change the value of n to obtain the matching value of x, then use that value to create an input-output diagram to depict this function;
If n = 1
v = 0.25(1)
v = 0.25
If n= 2
v = 0.25(2)
v = 0.5
If n = 3
v = 0.25(3)
v = 0.75 etc.
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allprime numbers are not divisible by two true or false
Answer:
False
Step-by-step explanation:
This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).
The net of a pyramid is shown below. 4in 4in 4in 4in 8in. The surface area of the solid is __ square inches.
Answer:
80 in.²
Step-by-step explanation:
The total surface area of the pyramid is the sum of the area of the base and the areas of the 4 triangular sides.
Square: area = s²
Square: side = 4 in.
Triangular side: area = bh/2
Triangular side: base = 4 in.; height = 8 in.
Area of the base: s² = (4 in.)² = 16 in.²
Total area of the 4 triangular sides: 4 × bh/2 = 2bh = 2 × 4 in. × 8 in. = 64 in.²
Surface area = 16 in.² + 64 in.² = 80 in.²
Find the measure of the numbered angles in the parallelogram
m<1=
m<2=
m<3=
\(m\angle 1=35^{\circ}\) (alternate interior angles)
\(m\angle 2=24^{\circ}\) (adjacent angles of a parallelogram are supplementary)
\(m\angle 3=24^{\circ}\) (alternate interior angles)