MATH HELP PLEASE ---->
#13 - 16 Solve for x
16.) -31 < 3x – 7 < 14
17.) xy – ab = cd ; solve for b
18.) 3(a – b) = 9mn ; solve for a
#19 – 28 Factor Each Expression (If possible)
19.) 3x2 (y – 2) – 5(y – 2)
20.) kmfd – 3jkm
21.) 49x2– 9
22.) 64x2+ y2
23.) x2+ 7x – 35
24.) 2x2+ 11x + 14
25.) x2- 2x – 63
26.) 3x2– 2x + 7
Answer:
16.) The solution to this inequality is x < -4 or x > -3.
17.) To solve for b, we need to isolate b on one side of the equation. To do this, we can subtract ab from both sides of the equation, which gives us xy = cd - ab. Then, we can divide both sides of the equation by xy, which gives us b = (cd - ab)/xy.
18.) To solve for a, we need to isolate a on one side of the equation. To do this, we can divide both sides of the equation by 3, which gives us a - b = 3mn. Then, we can add b to both sides of the equation, which gives us a = b + 3mn.
19.) To factor this expression, we first distribute the 3x2 to get 3x2y - 6x2. Then, we notice that the 3x2 and the -6x2 have a common factor of -3x2, so we can factor them out to get -3x2(y - 2) - 5(y - 2). Finally, we notice that the -3x2(y - 2) and the -5(y - 2) have a common factor of -(y - 2), so we can factor them out to get -(y - 2)(3x2 - 5).
20.) To factor this expression, we notice that the kmfd and the -3jkm have a common factor of -jkm, so we can factor them out to get -jkm(f - 3).
21.) To factor this expression, we notice that 49 is a perfect square, so we can write 49 as 72. Then, we can factor out the x from the x2 to get 7x(x - 9).
22.) To factor this expression, we notice that 64 is a perfect square, so we can write 64 as 82. Then, we can factor out the x from the x2 to get 8x(x + y).
23.) To factor this expression, we notice that the x2 and the -35 have a common factor of x - 5, so we can factor them out to get (x - 5)(x + 7).
24.) To factor this expression, we notice that the 2x2 and the 14 have a common factor of 2, so we can factor them out to get 2(x2 + 11x + 7). Then, we notice that the x2 and the 7 have a common factor of x + 1, so we can factor them out to get 2(x + 1)(x + 7).
25.) To factor this expression, we notice that the x2 and the -63 have a common factor of x + 9, so we can factor them out to get (x + 9)(x - 7).
26.) To factor this expression, we notice that the 3x2 and the 7 have a common factor of 3x + 7, so we can factor them out to get 3(x + 1)(x - 2).
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works. What does the flat pay of $25 represent in this situation?.
The $25 represent the constant for the equation y=25+5h where she lawns for $25 each lawn, plus $5 for every hour she spends mowing.
What is constant?A constant is a value or number that is consistently the same regardless of how it is expressed. For instance, in the a forementioned figure, when its face value is 36 and 82 respectively, 36 and 82 remain constant. Its worth remains constant. A constant in mathematics is a particular number or symbol that has been given a stable value. In other words, a constant is an expression-unchanging value or integer. It always has the same value.
Here,
The $25 serves as the constant in the equation y=25+5h, where she charges $25 for each lawn she mows and an additional $5 per hour.
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A given triangle ha vertice at (-3,1) (2,4) and (5,-3). If the triangle were rotated 180 degree counterclockwie, the new coordinate would be ?
When a triangle rotated 180 degree counterclockwise, the new coordinates of the triangle would be (3,-1) (-2,-4) and (-5,3)
We know that if we rotate a point P(x, y) with 180 degrees counterclockwise about the origin then the translated point would be P'(-x,-y).
A given triangle having vertice at (-3,1) (2,4) and (5,-3) is rotated 180 degree counterclockwise.
We need to find the coordinates of the rotated triangle.
(-3,1) -> (3, -1)
(2,4) -> (-2, -4)
and (5,-3) -> (-5, 3)
Therefore, after rotation the triangle would have coordinates (3,-1) (-2,-4) and (-5,3)
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What i the meaure of an arc correponding to the ector with an area of 24π ft² if the circle ha a 12 ft. Radiu?
When the arc's area is 24 square feet and its radius is 12 feet, the arc's length is 36.56 feet.
What is arc?An arc is a section of a circle's or curve's border in mathematics. It is additionally known as an open curve. The circumference, commonly referred to as the perimeter, is the measurement around a circle that defines its edge. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.
Here,
area of sector=24π ft²
radius of sector=12 ft
area=θ/360*Π*12²
24π=θ/360*Π*12²
2=θ/360*12
2*360/12=θ
θ=60°
length of arc=2r+θ/360*(2Πr)
=2*12+60/360(2*3.14*12)
=24+2*2*3.14
length of arc=36.56 ft
The measure of arc is 36.56 feet when the area of arc is 24π feet² and it has the radius of 12 feet.
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These are the times for 200 people to get to work
time people
0
10
30
40
50
A 10% sample, stratified by time, is taken.
complete the table
time people
0
10
30
40
50
got to work out the number of people using the same time
please help
The entries that complete the table are 1, 2, 8, 6 and 3.
Given:
These are the times for 200 people to get to work time people. A 10% sample, stratified by time, is taken.
Complete the table :
To do this, we multiply the number of people by the proportion of sample i.e. 10%.
The product is then approximated to the nearest unit
So, we have:
7 => 7 * 10 % ≈ 1
22 => 22 * 10 % ≈ 2
77 => 77 * 10 % ≈ 8
63 => 63 * 10 % ≈ 6
31 => 31 * 10 % ≈ 3
Hence, the entries that complete the table are 1, 2, 8, 6 and 3.
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let x and y be independent gaussian distributed random variables each with zero mean and unity variance. define the gaussian process:
As per the gaussian distributed random variables , the joint probability density function of the given variable is E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]
Gaussian distribution:
In statistics, the Gaussian distribution refers the normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.
Given,
Here we need to find the the joint probability density function of the variables x and y be independent gaussian distributed random variables each with zero mean and unity variance.
Here we know that every weighted sum of the samples of the Gaussian process Z(t) is Gaussian, Z(t1), Z(t2) are jointly Gaussian random variables. Hence we need to find mean, variance and correlation co-efficient to evaluate the joint Gaussian PDF.
Then the equation is written as,
=> E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]
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A student raises her grade average from a 75 to a 90. What was the percent of increase in the
student's grade average? Round your answer to the nearest tenth of a percent, if necessary,
20%
016.7%
08.3%
015%
Answer:
Step-by-step explanation:
D: 15%
when adding √9 and -7 which time of number is the sum'
-7x+y=-19,-2x+3y=-19 by elimination
Answer:
x=2,y=−5
Step-by-step explanation:
Answer this question pls
The answer to this Question based on angles is described below
What is Angle?
It is a measure of how much an ray has turned clockwise or anticlockwise.
wrt to a stationary fixed arc
Solution:
First we need to find A4
A2 is given as 131 hence G is also 131 by Vertically Opposite angles
And A and G are equal as Corresponding angles
Now we need A13 it will be same as A7 which is 74 by Alternate Angles
Now we need A9
we can see A9 + A13 = A7 + A6
A9 + 74 = A4
A9 + 74 = 131
A9 = 57
For A17
A17 + A9 + A13 = 180
A17 + 131 = 180
A17 = 49
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Fill in the blank
The _________of a number is the distance between the number and zero on a number line
The distance on the number line between a number and 0 is its absolute value.
What is number line?The visual representation of numbers on a straight line, either horizontally or vertically, is known as a number line.
When numbers are written down on a number line, it is straightforward for humans to compare them and perform basic arithmetic operations on them.
One might assume that a number line starts at zero (0). There are only negative numbers to the left of zero and only positive numbers to the right of zero.
In other words, as we move to the right on a number line, the value of the numbers increases.
The part of the number line to the left of zero is called the negative number line. But all is in the region to the right of zero.
Hence, The distance on the number line between a number and 0 is its absolute value.
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Can i please have help?
Analyzing the graph of the linear equation, we can see that for 1.4 grams of chemical A you will need 1.2 grams of chemical B.
How much of chemical B is needed?The amounts of chemicals A and B needed are modeled by the linear equation on the graph.
Here we want to see how much of chemical B is needed if we decide to use 1.4g of chemical A.
Chemical A is on the horizontal axis, so we need to find 1.4 on the horizontal axis, and then move upwards until we reach the linear equation, and then move to the left until we reach the vertical axis.
Doing that we can see that we will need 1.2 grams (3 little squares in the vertical axis) of chemical B.
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14) -3x+3y=3
-5x + y = 13
Answer:
x = -3, y = 28
Step-by-step explanation:
-5x + y = 13
y = 13+5x
-3x+3(13+5x)=3 substitute
-3x + 39 + 15x = 3
12x + 39 = 3
12x = -36
x = -3
-5(-3) + y = 13 substitute into -5x+y=13
15 + y = 13
y = 28
Question
Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogram. Let b represent the base and h represent the height of the original parallelogram.
The area of the new parallelogram is A = n²bh
How to determine the area of the parallelogram?From the question, we have the following parameters that can be used in our computation:
b = base of the original parallelogram.
h = height of the original parallelogram.
n = Factor of the products
The area of a parallelogram from the base and the height is calculated as
A = bh
In this case, we have
Each dimension of a parallelogram is multiplied by a positive number n.
This means that
Base = bn
Height = hn
So, we have
Area = bn * hn
Evaluate
A = n²bh
Hence, the area expression is A = n²bh
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christina, a javelin thrower, has a sample throw mean of 62.3 meters from 29 throws. christina still claims that her average throw is 57 meters, and the high average can be attributed to chance. at the 2% significance level, does the data provide sufficient evidence to conclude that christina's mean throw is greater than 57 meters? given the sample data below, accept or reject the hypothesis.
We reject the null hypothesis of the given sample data below.
A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance. Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."
it is given that,
P value=0.0045
Thus, alpha = 0.02
At the point when P esteem is not exactly or equivalent to the importance level, then reject the null hypothesis.
Here p esteem is not as much as the importance level then reject the null hypothesis H0.
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suppose we have 2 fair 6-sided dice numbered from 1 to 6. if we roll them both, what is the probability that the two numbers shown sum to 7?
The probability of the two fair six sided dice thrown together and getting sum of shown numbers to 7 is equal to ( 1/ 7).
As given in the question,
Number of times both 6-sided fair dice rolled out = 2
Dice is numbered from 1 to 6
As both the dice rolled together order does not matter
Total possible outcomes are:
= { ( 1,1 ), (1,2) , (1,3),(1,4), (1,5), 1,6), (2,2), (2,3),(2,4),(2,5), (2,6), (3,3),(3,4), (3,5) ,(3,6), (4,4), (4,5), (4,6), (5,5), (5,6), (6,6) }
Total number of outcomes = 21
Dice shows sum of numbers to 7 are
= {(1,6), (2,5), (3,4), }
Number of favourable outcomes = 3
Probability of the thrown dice sum shows number 7
= (Number of favourable outcomes)/ (Total number of outcomes)
= 3 /21
= 1 / 7
Therefore, probability of the two six sided dice thrown together and show sum of numbers to 7 is equal to (1/7).
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there are 6 people in line to board a plane with 6 seats. the first person has lost his boarding pass, so he takes a random seat. everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. what is the probability the last passenger ends up in his/her assigned seat, as a decimal?
The probability that the last passenger end up in his/her assigned seats is 0.20.
In the given question, there are 6 people in line to board a plane with 6 seats.
The first person has lost his boarding pass, so he takes a random seat.
Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.
We have to find the probability the last passenger ends up in his/her assigned seat.
Given 6 people with 6 Seats.
The probability that the last passenger end up in his/her assigned seats = 1/5
The probability that the last passenger end up in his/her assigned seats = 0.20.
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If the breadth of a rectangle is one-third of its length and perimeter is 32 ft, find the length and breadth of the rectangle. square
Answer:
breadth = 4 ft ; length = 12 ft
Step-by-step explanation:
p/2 = 32/2 = 16ft
l + b = 16
b = 1/3 l
l + 1/3 l = 16
(3 + 1)/3 l = 16
4/3 l = 16
l = 16 · 3/4
l = 4 · 3
l = 12 ft
b = 12 · 1/3
b = 4 ft
A baby giraffe meaure 6 feet tall when it i born and grow an average of 1/2 foot each month. What i the relationhip between x, the number of month, and y, the height of the giraffe?
The relationship between x, the number of month, and y, the height of the giraffe in feet is y = 6+0.5.
According to the question,
We have the following information:
A baby giraffe measures 6 feet tall when it is born and grow an average of 1/2 foot each month.
Now, x represents the number of months and y represents the height of the baby giraffe in feet.
Now, converting 1/2 from fraction into decimal form:
1/2 = 0.5 feet
Now, the equation to find the height of the giraffe will be given using the following equation;
y = 6+0.5x
Hence, the relationship between x, the number of month, and y, the height of the giraffe is y = 6+0.5.
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gg is considering two websites for downloading music. the costs are detailed here. website 1: a yearly fee of $15 and $5 for each download website 2: $7 for each download select the equation for website 1.
a. y=-7x
b. y=7x
c. y=5x+15
d. y=15x+5
The equation for the first website is y = 5x + 15.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, the website (1) charges a yearly fee of $15 and $5 for each download.
Therefore, the total cost, y, for x downloads is given by:
y = 15 + 5x
Or, y = 5x + 15
Hence, the equation for the first website is y = 5x + 15.
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what is the answer i need answers now
I will mark brainliest
The round-off of the number 4⁸/₉ will be 5. The correct option is C.
What is rounding off the number?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
The given number is 4⁸/₉. The round-off of the number will be done as,
4⁸/₉ = 4.88888888
The nearest number will be 5.
Therefore, the round-off of the number 4⁸/₉ will be 5. The correct option is C.
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A person exhales about 1.25 ×10^−5 kilogram of carbon dioxide in 2 ×10^−2 minute. How many kilograms of carbon dioxide does a person exhale each minute?
The number of kilograms of carbon dioxide a person exhale each minute is [tex]0.625\times10^{-3}[/tex] .
Given that, a person exhales about [tex]1.25\times10^{-5}[/tex] kilogram of carbon dioxide in [tex]2\times10^{-2}[/tex] minute.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.57\times10^7[/tex].
Here,
Number of kilograms of carbon dioxide a person exhale each minute = Weight of carbon dioxide/Number of minutes
= [tex]\frac{1.25\times10^{-5}}{2\times10^{-2}}[/tex]
= [tex]0.625\times10^{-3}[/tex]
Therefore, the number of kilograms of carbon dioxide a person exhale each minute is [tex]0.625\times10^{-3}[/tex] .
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Please help me solve!
Answer:
13.5%
Step-by-step explanation:
Given that μ = 144, σ = 27:
For x = 90: z= 90-144/27=-2
For x = 117: = 117-144/27 = -1
Therefore, From the normal distribution table: -2 gives .02275 and -1 gives .15866
So the required percentage = .02275 - .15866 = -0.13591= 13.5%
Hence, 13.5% of the population would be between 144 and 198
A multiple-choice quiz has 5 questions. Each question has 3 possible answers. A student guesses the answer to each question. Find the probability that the student answers all 5 questions incorrectly.
Answer: 3^5=243. 1/243
Step-by-step explanation:
We calculate the amount of ways he can answer 5 questions. It's 3x3x3x3x3 because he has 3 questions at the start with each of the 3 having another 3 questions to choose from and so on.
Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
The value of x from given exponential equation is 6 / 23. An equation with exponents is called an exponential equation if one of the exponents is a variable.
What is exponential equation ?The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.
When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.
Exponential growth and decay are the two different kinds of exponential functions.
23x = 6
Divide both sides by the same factor
23x /23 =6 /23
Simplify
x = 6/ 23
The value of x = 6 /23
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I need help on question 10 and 11! Pls also put an explanation how you got the answer so I can learn
Answer:
10) 1/2 lao per minute
11) 15 grams per serving
Step-by-step explanation:
10)
laps per minute
The laps are increasing by 1 as the minutes are increasing by 2
11)
The grams are increasing by 15 as the servings are increasing by 1
PLEASE HELP
Mrs.Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-4t+22.
The height of Antonio's rocket after t seconds can be represented by the linear function: p(t)=-2t+12.
(A) What are the two solutions to this system? Show your work algebraically.
(B) Explain which solution is not reasonable in this situation.
(C) After how many seconds do the rocket and the ball reach the same height.
A) The two solutions for the system are
tennis ball, t = 3.099 OR t = -7.099
rocket launch, t = 6
B) The solution that is not reasonable is the height of Antonio's rocket, The path traced is not a linear function
C) The rocket and the tennis ball reach same height at 2.32 s
How to solve the two systemsThe system of equation of the two motions are
b(t) = -t^2 - 4t + 22.
p(t) = -2t + 12
Solving the quadratic equation gives
b(t) = -t^2 - 4t + 22.
t = 3.099 OR t = -7.099
solution for the linear equation gives
t = 6
The solution that is not reasonable in this situation is the linear equation
The linear equation because projectile motion do not follow linear part.
time to reach same height
-2t + 12 = -t^2 - 4t + 22.
-t^2 - 2t + 10
solving the equation gives
t = 2.3166 OR -4.3166
take the positive value
t = 2.32 s
time to reach same height is 2.32 s
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The radius of circle S is half the radius of circle L. The radius of circle L is 8 millimeters.
Which measurement is closest to the area of circle S in square millimeters?
Area of the circle S be 16π square. millimeter
What is an area of circle ?
The area of a circle is the space the circle occupies in the two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr2, where r is the radius of the circle. A unit area is a unit square. Examples: m2, cm2, in2, etc. Circle area = π[tex]r^{2}[/tex]in square units (Pi)π = 22/7 or 3.14. Pi (π) is the ratio of the circumference to the diameter of any circle. This is a special mathematical constant.
It is given that the radius of circle S is half the radius of circle L and the radius of circle L is 8 millimeters.
Radius of the circle S = 8/2 = 4 millimeters
Area of the circle S = π[tex]r^{2}[/tex] = π[tex](4)^{2}[/tex] = 16π square. millimeter
Therefore, area of the circle S be 16π square. millimeter
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HELP pls question in picture 20 points
Answer:
Step-by-step explanation: why do I have a code to go for a walk in a few weeks to see what you are looking at and see what we can see when we can see how much we will be in our room for a few weeks to get the rest of the stuff done and we can make a new change of the time for you guys and we will miss it it is a great time for us and I will keep you posted if I need your assistance and help with the help for me am 11 sorry
Mommy mommy daddy mommy bye bye daddy daddy mommy daddy daddy bye daddy mommy daddy daddy love mommy mommy daddy mommy bye bye daddy daddy mommy daddy daddy bye daddy mommy daddy daddy love mommy mommy daddy mommy bye bye daddy daddy mommy daddy daddy bye daddy mommy
CC wants to buy online tickets for a concert. Two options are given here.
Option 1: $85 for each ticket plus a shipping fee of $15
Option 2: $95 for each ticket and free shipping
Select the equation for Option 2.
Responses
y=15x+85y is equal to 15 x plus 85
y=85x+15y is equal to 85 x plus 15
y=95xy is equal to 95 x
y=−95xy is equal to negative 95 x
The equation for $95 for each ticket and free shipping y = 15 + 95x
How to illustrate the equation?In this situation, an equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions.
Let the number of tickets be x.
Let the total amount is y.
The equation for $95 for each ticket and free shipping will be:
y = 15 + (95 × x)
y = 15 + 95x
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