Answer:
A ∩ (B U C) = {b , e , i}
Step-by-step explanation:
A = {b , e , g , i}
B = {a , b , e , f}
C = {a , e , i , j}
We note B U C ,The union of the two sets B and C
which is the set that contains all elements
that are in B or in C .
The easiest way to determine B U C :
Step1 : (write all the elements of B and C side by side)
B U C = {a , b , e , f , a , e , i , j}
Step2 : (delete the repeated elements)
B U C = {a , b , e , f , i , j}
FINDING A ∩ (B U C) :
it’s the set of elements that exist in both sets
A and B U C simultaneously:
A = {b , e , g , i}
B U C = {a , b , e , f , i , j}
Then
A ∩ (B U C) = {b , e , i}
answer the following function, algebra 1.
Answer:
g(f(x)) = 1x² + 1
Step-by-step explanation:
We are given:
f(x) = x² - 1
g(x) = x + 2
And we want to find g(f(x)).
To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).
So, this will be:
g(f(x)) = x² - 1 + 2
Simplify
g(f(x)) = x² + 1
In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.
Question 15 (06.01 LC)
Classify the expression: 5x³ - 4x²
Quadratic expression
Linear expression
Cubic expression
Constant expression
Answer:
Cubic expression
Step-by-step explanation:
Polynomials with a degree of 3 are known as cubics.
Answer:
cubic expression
Step-by-step explanation:
it is cubic when raised to the power of 3
X+24=35 how to solve this
Answer:
X = 11
Step-by-step explanation:
Simplifying
X + 24 = 35
Reorder the terms:
24 + X = 35
Solving
24 + X = 35
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + X = 35 + -24
Combine like terms: 24 + -24 = 0
0 + X = 35 + -24
X = 35 + -24
Combine like terms: 35 + -24 = 11
X = 11
Simplifying
X = 11
Answer:
x+24=35
then collect like terms together, which means "x" terms in one side and numbers in one side:
x=35-(+24)
we need to change the signs when ever we change its place, like changing from one side to another
x=35-24
x=11. ✓
HELP! ASAP!
A box without a top is to be made from a rectangular piece of cardboard, with dimensions 4 in. by 8 in., by cutting out square corners with side length x and folding up the sides.
(a) Write an equation for the volume V of the box in terms of x.
(b) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
ASAP AWNSER PLSSS!
Determine how far away the number -2 is from 0. Then, choose a positive number and a negative number that is each farther away from zero than is the number -2.
Answer:
it is 2 spaces away. a positive number from zero would be +2 and a negative number would be -2
Step-by-step explanation:
1
2
3
5
10
Two runners are saving money to attend a marathon.
The first runner has $110 in savings, received a $45 gift
from a friend, and will save $25 each month. The
second runner has $50 in savings and will save $60
each month.
After how many months will both runners have the
same amount of money?
02
O 3
Answer:
3 months
Step-by-step explanation:
The first runner: $110 + $45 = $155 starting out, plus 25x for $25 each month.
The second runner: $50 starting out, plus 60x for $60 each month.
To find out when both runners have the same amount of money, we will set the expressions equal to each other and solve.
155 + 25x = 60x + 50
105 = 35x
x = 3
Brainliest, please :)
At a sale this week, a desk is being sold for $561. This is 68% of the original price. What is the original price?
Answer:
825
Step-by-step explanation:
hope it helps.good day
solve for x
[tex]\bold{x {}^{2} + 5x + 6 = 0}[/tex]
ty! ~
Answer:
x = -2x = -3Step-by-step explanation:
[tex] \bf {x}^{2} + 5x + 6 = 0[/tex]
Write the equation in factored form.
[tex]\bf (x + 2)(x + 3) = 0[/tex]
Separate equations, and set each factor to zero.
[tex]\bf x + 2 = 0[/tex]
[tex]\bf x + 3 = 0[/tex]
Rearrange and isolate the variable to find the solutions
[tex]\bf x = - 2[/tex]
[tex]\bf x = - 3[/tex]
------------------------------------
Answer:
x=-3 x=-2
Step-by-step explanation:
x^2 +5x+6 =0
We need to factor the equation
What two numbers multiply to 6 and add to 5
3*2 = 6
3+2 =5
(x+3)(x+2)
Using the zero product property
x+3 =0 x+2 =0
x=-3 x=-2
A recipe calls for 4 cups of peanuts for 5 cups of flour. Using the same recipe, how many cups of flour will you need for 3 cups of peanuts
I really need help
Jessie bought a vacuum cleaner priced at $79 with a 6% sales tax rate. What is the total cost of the vacuum cleaner after-
tax?
Answer:
83.74
Step-by-step explanation:
First find the amount of the tax
79 * .06
4.74
Add this to the original price
79+4.74
83.74
Evaluate tan5π. 0 1 -1 undefined
Step-by-step explanation:
[tex] = \tan(5\pi) [/tex]
[tex] = \tan(\pi + 4\pi) [/tex]
[tex] = \tan(\pi) [/tex]
[tex] = \tan(180 \degree) [/tex]
[tex] = 0[/tex]
The answer is A.
find an equation equivalent to (x-2)^2 + (y + 2)^2 = 8 in polar coordinates
The circle equation in polar coordinates is:
[tex]r - 4*cos(\theta) + 4*sin(\theta) = 0[/tex]
How to change the coordinates of the circle equation?
Here we have the circle equation:
[tex](x - 2)^2 + (y + 2)^2 = 8[/tex]
First, we expand it to:
[tex]x^2 - 4x + 4 + y^2 + 4y + 4 = 8[/tex]
Now we can rewrite it as:
[tex]x^2 + y^2 -4x + 4y + 4 + 4 = 8\\\\x^2 + y^2 - 4x + 4y = 0[/tex]
Remember that:
[tex]x^2 + y^2 = r^2\\\\x = r*cos(\theta)\\y = r*sin(\theta)[/tex]
Replacing that, we get:
[tex]x^2 + y^2 - 4x + 4y = 0\\\\r^2 - 4r*cos(\theta) + 4r*sin(\theta) = 0[/tex]
That is the equation in polar form.
Now, because we can discard the solution r = 0, we can divide both sides by r to get:
[tex]r - 4*cos(\theta) + 4*sin(\theta) = 0[/tex]
To simplify it.
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22x31
a537
b682
c492
Step-by-step explanation:
copy from there that right answer if need more then follow me Bhai or send me money
tim earns 42pounds for 7 hours of work. how much does he earn in 16 hours
Answer:
96
Step-by-step explanation:
divide 42/7
=6
6x16=
96
Answer:
The answer is 96 pounds
Step-by-step explanation:
Multiply 16 with 42 and divide it by 7 and you get the answer 96 pounds
Circumference and area of a piece of glass cabinet which has a diameter of 1.8m
Answer:
circumference: 5.65 m
area: 2.54 m
Step-by-step explanation:
here are some relationships between measurements of a circle:
C = π d
(Circumference = pi · diameter)
A = π r²
(Area = pi · radius²)
[π / pi is the ratio of a circle's circumference to its diameter. this ratio is actually a constant across all circles, which is where we derive our circumference and area formula from. π ≈ 3.14159]
so, let's work on finding the circumference first.
C = π d
we know the diameter = 1.8, and we know that π ≈ 3.14159
so, if we multiply these two numbers together, we will get the circumference
[this equation makes sense if you read my explanation of pi]
1.8 × 3.14159 = 5.654862
We can round this number to 5.65
So, the circumference of our circle = 5.65 m
now, let's find the area
A = π r²
we know that π ≈ 3.14159, but we still haven't found "r"
r, or radius, is the measurement from the center of a circle to any point of the circle. Because the diameter is the measurement from one side of a circle to the opposite side, diameter = twice the radius
this means we can take our diameter, 1.8, and divide it by 2 to find our radius.
1.8 / 2 = 0.9
now, we can solve for area.
π ≈ 3.14159 , r = 0.9
A = π r²
A = π (0.9)²
A = (3.14159) (0.81)
A = 2.5446879
we can round this area to 2.54
so, the area of our circle = 2.54 m
Which of the following are characteristics of the graph of the square root
parent function? Check all that apply.
Answer:
C. It is in Quadrant I
D. It starts at the origin
Step-by-step explanation:
Parent function: [tex]f(x)=\sqrt{x}[/tex]
Domain: set of all possible input values (x-values)
As the square root of a negative number does not exist in the set of Real Numbers, the domain for the parent function is:
Solution: x ≥ 0Interval notation: [0, ∞)Range: set of all possible output values (y-values)
As the domain of the parent function is x ≥ 0, the range will be:
Solution: f(x) ≥ 0Interval notation: [0, ∞)As the range and domain both begin at zero, the graph of the parent function starts at the origin (0, 0).
Quadrant: a region of the Cartesian plane formed when the x-axis and y-axis intersect each other.
Quadrant I: (x, y)
Quadrant II: (-x, y)
Quadrant III: (-x, -y)
Quadrant IV: (x, -y)
Therefore, as the range and domain of the parent function are positive, the graph is in Quadrant I.
on a day in winnipeg with 10 1/2 h of daylight, it was sunny for 1/3 of that time. for how many hours was it sunny that day
Considering the multiplication of mixed fractions, [tex]\frac{21}{6}[/tex] or 3.5 hours was sunny that day.
Multiplication of mixed fractionsTo multiply mixed fractions, it is necessary to transform these fractions into improper fractions. To do this, the whole part is multiplied by the denominator of the fraction that accompanies it. The result of the multiplication is added to the numerator of the fraction that accompanies it, and it will be the denominator of the new fraction, while the denominator remains the same.
After transforming the mixed fractions to be multiplied into improper fractions, they are multiplied. To do this, it is necessary to multiply the numerators of the two fractions, and the denominators of the fractions. If the resulting product needs to be simplified to lowest terms, divide the numerator and denominator by common factors.
Sunny hoursOn a day in winnipeg with 10[tex]\frac{1}{2}[/tex] h of daylight, it was sunny for [tex]\frac{1}{3}[/tex] of that time. This is:
10[tex]\frac{1}{2}[/tex] h × [tex]\frac{1}{3}[/tex]
Solving:
10[tex]\frac{1}{2}[/tex] h × [tex]\frac{1}{3}[/tex] = [tex]\frac{10x2+1}{2}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{2}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21x1}{2x3}[/tex]= [tex]\frac{21}{6}[/tex]= 3.5
Finally, [tex]\frac{21}{6}[/tex] or 3.5 hours was sunny that day.
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In 2005 , a study at Blinn College was conducted to determine whether a relationship exists between a student who eats breakfast and his or her Biology grade. The study examined 1259 college students on a specific biology test. The accompanying tables show the relative frequency, by grade, of the 825 students who did eat breakfast and the 434 who did not eat breakfast on the morning of the test.
Students who did not eat breakfast
Grade Relative frequency
A 0.10
B 0.19
C 0.22
D 0.17
F 0.32
Students who ate breakfast
Grade Relative frequency
A 0.18
B 0.38
C 0.17
D 0.14
F 0.14
Select the statements that are accurate regarding the given data sets.
Eating breakfast ensures that a student will pass an exam.
The data show that skipping breakfast is associated with earning lower exam grades.
There is an increase in B's for those who do eat breakfast before the exam.
The data shows that skipping breakfast is not associated with earning lower grades.
Students are more likely to earn an A on an exam if they do not eat breakfast.
Answer:
1. The data show that skipping breakfast is associated with earning lower exam grades.
2. There is an increase in B's for those who do eat breakfast before the exam.
Which of the following statements is true?
Answer:
Last choice, [tex]\sqrt{15}[/tex] is irrational and [tex]\sqrt{0.001}[/tex] is rational
Step-by-step explanation:
Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers, ex. 0.4
Irrational Numbers: A type of real number which cannot be represented as a simple fraction (non ending decimal), ex. 0.4161446
[tex]\sqrt{15} = 3.8729[/tex] making it irrational
First and third choice are INCORRECT as they state its rational[tex]\sqrt{0.001} = 1/1000[/tex] making it rational
Second choice is INCORRECT as they state its irrationalHence, the last choice is correct
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A chain weighs 12 pounds per foot. How many ounces will 7 inches weigh?
Answer:
The chain of the length 7 inches weighs 112 ounces.
Step-by-step explanation:
As we know there are 12 inches in a foot and 16 ounces in a pound
That is 1 foot = 12 inches.
and 1 pound = 16 ounces.
Given that the weight of the chain that is 1 foot long = 12 pounds
So weight of the chain per inch is = 12/12
which is equal to 1 pound
and according to the formula 1 pound = 16 ounces
So weight of the chain per inch is = 16 ounces
therefore weight of the chain that is 7 inch long = 7 × 16
that is 112 ounces.
The chain of the length 7 inches weighs 112 ounces.
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determining height from a shadow measuring 88 meter
Answer:
Height = 132 mt
Step-by-step explanation:
Shadow lengths are proportional to the height of the object.
So, multiply the length of the tree's shadow by your height.
If you are 5 feet (1.5 meters) tall, and the length of shadow is 88 meters long,
Multiply them together: 1.5 x 88 = 132 mt.
Hence, Height = 132 mt.
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Suppose two sets of scores have the same mean, but different
standard deviations, o, and o₂, with 0₂ > 0₁ Which statement
1
2
best describes the variability of these data sets?
02
(1) Data set one has the greater variability.
(2) Data set two has the greater variability.
(3) The variability will be the same for each data set.
(4) No conclusion can be made regarding the variability of
either set.
Data set two has the greater variability option (2) Data set two has the greater variability is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Two sets of scores have the same mean, but different standard deviations.
σ₁ and σ₂ (σ₂ > σ₁)
Coefficient of variation = [SD/(mean)]×100
[tex]\rm CV = \dfrac{\sigma }{|x|}\times100[/tex]
σ₂ > σ₁
Divide by |x| on both sides
σ₂/|x| > σ₁/|x|
[tex]\rm \dfrac{\sigma }{|x_1|}\times100 > \dfrac{\sigma }{|x_2|}\times100[/tex]
(CV)₂ > (CV)₁
Thus, data set two has the greater variability option (2) Data set two has the greater variability is correct.
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HELP ME PLEASE
13
25
Which expression represents the volume, in cubic units,
of the composite figure?
○ π(57)(13) —π (5²)(12)
○ π(5²)(13) — π (5²)(25)
○ ~(5²)(13) + = π (5²)(12)
○pi(5²)(13) + = π (5²³)(25)
Answer:
π(5²)(13)+⅓π(5²)(12)
Step-by-step explanation:
You can find the volume of the cylinder by:
V=πr²h
which is V1=π(5²)(13)
and the volume of the crooked cone by:
⅓πr²h
which is V2=⅓π(5²)(12)
and you need the volume of the whole shape. you can find by adding V1+V2
Help me please I beg you
A polynomial function whose degree is 5 has at most how many turning points.
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 43 million eight hundred twenty four thousand four hundred plus y squared over forty seven million one hundred ninety six thousand nine hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
250 km
500 km
6,620 km
6,870 km
"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is
D= 510 km. Option B. This is further explained below.
What is Kepler Orbit?Generally, In the study of astrodynamics, an ellipse of the satellite is often referred to as a Kepler Orbit
The function of the elliptical orbit is
[tex]\frac{(x-h)^2}{a^2}+\frac{(x-k)^2}{b^2}=1[/tex]
compared to
[tex]\frac{(x^2)^2}{47334400}+\frac{(y^2)^2}{43956900}=1[/tex]
Hence
a = √(47,334,400 km²)
a= 6,880 km.
In conclusion, The distance of the satellite above the Earth's surface.
D = a - r
D= 6,880 km - 6,370 km
D= 510 km
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"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is D= 510 km. Option B.
What is Elliptical Orbit?An elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the special case of a circular orbit, with eccentricity equal to 0.
The function of the elliptical orbit is
[tex]\frac{{(x-h)}^2}{a^2}+ \frac{{(y-k)}^2}{b^2} = 1[/tex]
compared to
√([tex]\frac{({x^2)}^2}{47,334,400} + \frac{({y^2)}^2}{43956900} = 1[/tex]
a = √(47,334,400 km²)
a= 6,880 km.
Now,
D = a - r
D= 6,880 km - 6,370 km
D= 510 km
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What is the value of 7 in 52.703.?
7 = Tenth
7 is the first decimal of the number making it a tenth.
What is the solution to the equation 3 square root 5x-4 = 3 square root7x+8?
Graph the following non-linear system of equations and identify the two solutions. y=2x −7x+3y=3 What type of function is the equation y=2x ? Linear [ ] Quadratic [ ] Exponential [ ] What type of function is the equation −7x+3y=3 ? Linear [ ] Quadratic [ ] Exponential [ ] Use your graph below to identify the two solutions to this non-linear system of equations. Note: All solutions to this problem are whole numbers. None of the answers are decimals or fractions. List the solution, (x,y), with the smallest x value below. x= __________ y= __________ List the solution, (x,y), with the largest x value below. x= __________ y= __________
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
What is a Equation ?An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.
The equations given in the question is
y = 2ˣ
This is an exponential function
-7x +3y = 3
This is a linear function
The equations have been plotted and the solution to the non linear system of equation has been determined
The point at which the graphs intersect is the solution to the system of non -linear equations.
(0,1) and (3,8)
x = 0 , y = 1 ; x = 3 , y = 8
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
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determine domain and range from graph
Domain: (-∞,∞)
Range: (-∞,-3]
Step-by-step explanation:
A quadratic equation graphs a parabola. Therefore there will be arrows on the bottom of the graph as it will go down forever. The domain (min x-values to max x-values) is
(-∞,∞) because the graph keeps on going down and to the right and left. The range (min y-values to max y-values) is (-∞,-3] because the lowest y-value the graph goes to is -∞ nd the highest y-value is -3.
