Answer:
as x→+∞, f(x)→+∞ as x→-∞,f(x)→-∞
Step-by-step explanation:
What is the resulting ordered pair if the value of the independent variable is –2? f(x)=2x^3+3x^2 A. (–5, –2) B. (–2, –4) C. (–2, –28) D. (–4, –2)
The resulting ordered pair if the value of the independent variable is –2 will be B. (-2, -4).
How to solve the variable?From the information given, it was stated that we should calculate the resulting ordered pair if the value of the independent variable is –2.
Therefore, in this case, x = -2. Therefore, we will play it into the equation. This will be:
f(x)=2x³ +3x²
= 2(-2)³ + 3(-2)²
= -16 + 12
= -4
Therefore, the ordered pair will be (-2, -4).
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Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.
Answer:
I don't know how to explain
NEED HELP QUICK - State the reference angle and what quadrant the terminal side of the angle is in.
Answer:
the answer is 225
Step-by-step explanation:
y+135=360
y=360-135
y=225
What percent of 4c in each expression?
*2a
A percentage is a way to describe a part of a whole. The percentage of 4c that is equal to 0.04c is 1%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The percentage of 4c that is equal to 0.04c can be found as,
x% of 4c = 0.04
(x/100) × 4c = 0.04
[tex]x = \dfrac{0.04c \times 100}{4c}[/tex]
x = 1%
Hence, the percentage of 4c that is equal to 0.04c is 1%.
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get it right for brainliest
Answer:
U={1,2,3,4,5,6,7,8,9,}
A={1,3,5,7,9}
B={2,4,6,8}
C={1,2,3,4,5,6}
now,
A∩B={nothing}U c
={1,2,3,4,5,6,7}
mark me as brainliest
O A. Function fis even.
ОВ.
Function fis neither even nor odd.
O C.
Function fis both even and odd.
D.
Function fis odd.
F(x)= -8x^5+4x^3+5x
Answer:
D) Function f is odd
Step-by-step explanation:
There are three ways to solve this problem:
Method 1
Recall that a function is even if [tex]f(x)=f(-x)[/tex] and odd if [tex]-f(x)=f(-x)[/tex] for all x. Hence, we evaluate [tex]f(-x)[/tex] to check if the function is even, odd, both, or neither:
[tex]f(x)=-8x^5+4x^3+5x\\\\f(-x)=-8(-x)^5+4(-x)^3+5(-x)\\\\f(-x)=8x^5-4x^3-5x[/tex]
Here, we can see that the signs of the original terms switched to their opposite operations, so it is clear that [tex]-f(x)=f(-x)[/tex], which tells us that the function is odd.
Method 2
A function is odd if it has symmetry about the origin, and even if it has symmetry about the y-axis. We can clearly see on the graph there is origin symmetry, so the function is odd.
Method 3
A function is even if every term in that function has an even degree, or odd if every term has an odd degree. We can see that the degrees of each term are odd, so we can conclude that the function is odd.
A store has clearance items that have been marked down by 50%. they are having a sale, advertising an additional 30% off clearance items. what percent of the original price do you end up paying
Answer:
20%
Step-by-step explanation:
50+30=80
100-80=20
so you would pay 20%
BC = ??
need help asap
Answer:
BC = 5.87
Step-by-step explanation:
To find the last angle:
180° - 50° - 90° = 40°
Once we know that, we can use our given side angle pair to figure out the length.
[tex]\frac{7}{sin(50)}[/tex] * [tex]\frac{?}{sin(40)}[/tex] -> [tex]\frac{7*sin(40)}{sin(50)}[/tex]= ?
Then we plug into a calculator to get: 5.87
Answer:
5.87
Step-by-step explanation:
Concepts
The three different trigonometric functions are sine, cosine, and tangent. They can be memorized as the mnemonic SOHCAHTOA, where:
Sine = Opposite/HypotenuseCosine = Adjacent/HypotenuseTangent = Opposite/AdjacentThe hypotenuse will always stay the same, but depending on the highlighted angle, the opposite and adjacent side can change.
Application
In this case, we're asked to find the length of BC. We're given the length of the opposite side as 7 units. The adjacent side to m∠50° is BC. Since we're dealing with opposite and adjacent, we're going to be using tangent.
Solution (Calculator Needed)
tan(50°) = 7/xtan(50°) * x = 7/x * xtan(50°)x = 7x = 7/tan(50°)x ≈ 5.87A Sparkle Soda has a radius of 2.8 cm and a height of 11.5 cm. Find the volume of the can of soda to the nearest hundredths.
Answer:
283.86 cm³
Step-by-step explanation:
A can of soda has the shape of a cylinder.
Formula for finding volume of a cylinder :
Volume = πr²h
===============================================================
Solving :
⇒ Volume = 22/7 × (2.8)² x 11.5
⇒ Volume = 22/7 x 2.8 x 2.8 x 11.5
⇒ Volume = 22 × 0.4 × 32.2
⇒ Volume = 8.8 × 32.2
⇒ Volume = 283.86 cm³
Question 3
ceiling fan the blades of a ceiling fan have a length of 26 inches. the tips of the blades follow a circular path. how far does the tip of a
blade travel in 1/5 of a rotation? round to the nearest hundredth of an inch,
________inches
The distance the blades travel in 1/5 of a rotation is 32.67 in
Since the distance the blades of the ceiling fan rotate is the length of an arc, we find this length
What is the length of an arc?The length of an arc is given by
L = Ф/360° × 2πr where
Ф = angle of rotation and r = length of blades of fanSince
Ф = 1/5 of a rotation = 1/5 × 360° = 72° and r = 26 inThe distance the blades travelSo, substituting the values of the variables into the equation, we have
L = Ф/360° × 2πr
L = 72°/360° × 2π × 26 in
L = 1/5 × 52π in
L = 10.4π in
L = 32.67 in
So, the distance the blades travel in 1/5 of a rotation is 32.67 in
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Last semester 150 out of thwhat is the 800 student at jungle junior high made the honor roll
what percent of the students made the honor roll
Answer:
Your sentence got cut out or sum.
Step-by-step explanation:
I'm assuming it's asking: What is 150 out of 800?
If so:
150/800 --> 3/16
3/16 --> Percent Form: 18.75%
Final Answer: 18.75%
can someone help me Im lost here
Answer:
walk area = 125.6 m²
Step-by-step explanation:
You are asked for the area of a sidewalk of given width that is around a circle of given radius. The pattern you're asked to fill in would have you compute the area of the inner circle, and of the outer circle, then find the difference between the areas.
__
The formula for the area of a circle is ...
A = πr²
bigger circleThe radius is shown as 11 m, so its area is ...
A = π(11 m)² = 121π m² = 379.94 m²
smaller circleThe radius is shown as 9 m, so its area is ...
A = π(9 m)² = 81π m² = 254.34 m²
area differenceThe difference between the two areas is ...
walk area = big circle area - small circle area
walk area = 379.94 m² -254.34 m² = 125.6 m²
_____
Additional comment
The area can also be computed by multiplying the centerline length of the sidewalk by its width. The center of the walk is (9+11)/2 = 10 m from the centers of the circles, so the circumference (centerline length) is
C = 2πr = 2(3.14)(10 m) = 62.8 m
The width of the sidewalk is 11 -9 = 2 meters, so its area is ...
(2 m)(62.8 m) = 125.6 m² . . . . sidewalk area
can anyone tell me what angle Y is?
Answer:
Step-by-step explanation:
93 + y = 180
y = 180 - 93
y =87 Degrees
Answer:
87°
Explanation: The angles y and 93° are supplementary angles.
Therefore, subtract 93° from 180°, and voila! You got the answer.
A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 7. What is asked for in the problem? 120 m. What is its area? 8. What facts are given? 9. What is the formula to solve the problem? 10. What is the complete answer?
Question : A rice field in the shape of a parallelogram is 300 m long. The perpendicular distance between the base and its opposite side is 120m . Find area .
Answer36000 sq. m
SolutionGiven :
parallelogram is 300 m long and distance between base and its opposite side is 120m* .
Length = 300 m
Perpendicular height = 120 m
Formula used :Area of parallelogram = Length × Perpendicular height.
=> 300 × 120
=> 36000 sq. m
_____________Parallelogram is a type of quadrilateral whose opposite sides are equal .What’s the probability Cecilia picks a plastic marble from the bag?
Answer:
Answer. = 2/2.
Step-by-step explanation:
Given the point (3, 3.5), name a second point so that the two points form a horizontal segment.
For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The point is given as (3, 3.5).
Then name a second point so that the two points form a horizontal segment.
For the horizontal segment, the value of the ordinate will not change.
Let x be the abscissa.
Then the point will be given as (x, 3.5).
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The values in the table represent a linear function what is the common difference of the associated arithmetic sequence x 1 2 3 4 5. y 8 23 38 53 68
a. 15
b. 7
c. 1
d. 21
The common difference of the arithmetic sequence is 15.
The correct option is (a)
what is Arithmetic Sequence?
An arithmetic sequence (also known as an arithmetic progression) is a sequence of numbers in which the difference between consecutive terms is always the same.
The arithmetic sequence is defined as
x: 1 2 3 4 5
y: 8 23 38 53 68
The common difference of the arithmetic sequence is
[tex]d=\frac{y_2-y_2}{x_2-x_1}[/tex]
Let us take any two points: (1,8) and (2,23)
Then, d = [tex]\frac{23-8}{2-1}[/tex]
d= 15
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. Find the value of x for which ABCD must be a parallelogram.
B
3x
4x - 5
A
D
Answer:
x = 5
Step-by-step explanation:
make them equal to each other
3x = 4x-5
x = 5
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Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?
x^2+y^2−4x+2y=b
The radius of the circle is 7 units. What is the value of b in the equation?
Answer:
b = 44
Step-by-step explanation:
We can complete the square(s) to put the equation in standard form. Then we can find the value of b that makes the radius be 7 units.
__
x^2 +y^2 -4x +2y = b . . . . . given
(x^2 -4x) +(y^2 +2y) = b . . . . group by variable
(x^2 -4x +4) +(y^2 +2y +1) = b + 4 + 1 . . . . complete the squares
(x -2)^2 +(y +1)^2 = b +5 = 7^2 = 49 . . . . . write as squares, show radius
b = 49 -5 = 44 . . . . subtract 5
The value of b to make the radius 7 is 44.
_____
The standard form of the equation for a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . center (h, k), radius r
8. People with type O-negative blood are universal donors. That is, any patient can receive a transfusion of O-negative blood. Only 7.2% of the American population has O-negative blood. If 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?
The probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
What is the probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
People with type O-negative blood are known as the universal donors, which means any patient can receive a transfusion of O⁻ blood from the donors.
Only 7.2% of the population of America has O-negative blood group. Thus, the probability of this population to donate blood is,
[tex]P=\dfrac{7.2}{100}\\P=0.072[/tex]
The probability of population to be not O-negative,
[tex]P^{-1}=1-0.072\\P^{-1}=0.928[/tex]
The 10 people appear at random to give blood. The probability of at least 1 of them is a universal donor is,
[tex]P{\text { at least 1 }}=1-(0.928)^{10}\\P{\text { at least 1 }}=0.526[/tex]
Thus, the probability that at least 1 of the population of America is has a blood group of O-negative and are universal donor when 10 people appear at random to give blood is 0.526.
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Find the surface area of the cone to the nearest square unit. Use π = 3.14.
Answer:
339.12 cm²
Explanation:
surface area of cone: πr² + πrl
where "r" is radius, "l" is slant height
Here given:
radius: 6 cmslant height: 12 cmSolve for surface area:
πr² + πrl(3.14)(6)² + (3.14)(6)(12)113.04 + 226.08339.12 cm²So
TSA
πr(r+l)π(6)(6+12)6π(18)108π339.12cm²Joe's bathroom floor is 7 feet wide and 4 feet long. He will cover the floor with 4-inch square tiles. How many tiles does Joe need? A 7 B 252 С 680 D 1008
Answer:
The answer will be 7 tiles.
Step-by-step explanation:
Firstly,you need to find the area of the bathroom floor.
Area of bathroom floor is =length×breadth
which is the formula for a rectangular floor
A=4×7
A=28cm squares.
Then to find how many tiles Joe needs=A÷4-inch square tile
=28÷4
=7 tiles.
A grandsons age in years is equal to his grandfather's age in years. The difference of the grandsons age in years and the grandfather's age in years is 77. Find the grandsons age in years.
The age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the age of the grandsons is x years and
age of the grandfather's age is y years
Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.
Then according to the problem:
12x = y (as in 1 year, there are 12 months)
y -x = 77 (as difference in age is 77)
After solving both equations, we get:
x = 7 years and y = 84 years
Thus, the age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.
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What is -2/8 simplified?
Answer:
[tex]\huge\boxed{\sf -\frac{1}{4} }[/tex]
Step-by-step explanation:
Given Fraction:
[tex]\displaystyle =-\frac{2}{8}[/tex]
Divide both numerator and denominator by 2 to simplify.
[tex]\displaystyle =-\frac{2 \div 2}{8\div 2} \\\\= -\frac{1}{4} \\\\\rule[225]{225}{2}[/tex]
A rectangular room is 12 1/2 feet long and 10 1/3 feet wide. What is the area of the room?
Answer: 20
Step-by-step explanation: 12 1/2x10 1/3=20
a basket contains a supply of marbles of 4 different colors. marbles with the same color are assumed to be identical. in how many ways can you choose 6 marbles from the basket
For the basket with 4 different types of marbles, there are 4,096 combinations in which we can select 6 marbles (in order).
in how many ways can you choose 6 marbles from the basket?Here we need to identify the number of selections. We have 6 selections (assuming that order matters).
Marble 1:Marble 2:Marble 3:Marble 4:Marble 5:Marble 6:Now we need to find the number of options for each of these. We know that there are 4 different colors of marbles, then for each selection, we have 4 options:
Marble 1: 4 optionsMarble 2: 4 optionsMarble 3: 4 optionsMarble 4: 4 optionsMarble 5: 4 optionsMarble 6: 4 optionsThe total number of combinations is given by the product between the numbers of options, so we have:
C = 4*4*4*4*4*4 = 4,096 combinations.
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question 1. write the product using exponents
Answer:
(- 0.9)³
Step-by-step explanation:
(- 0.9) × (- 0.9) × (- 0.9)
= (- 0.9)³
Solve the equation E = v + Ir for r
A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work
Answer:
A. [tex]\text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
Step-by-step explanation:
E = v + Ir
E - v = Ir (subtract by v on both sides)
(E-v)/I = r (divide by I on both sides)
[tex]\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}[/tex]
In a cage there are 10 rabbits between males and females. 4 of them escape. What is the probability that 3 are female and only one is a male? There are originally 6 females and 4 males.
Please give answer in fraction and not percentage!
Answer:
[tex]\frac{8}{21}[/tex]
Step-by-step explanation:
let S be the sample space for this experiment.
card(S) = 10C4 = 210
Let E be the event “having 3 female and only one male”
card(E) = 6C3 × 4C1 = 80
therefore
p(having 3 female and only one male escaped) is 80/210
[tex]\frac{80}{210} =\frac{8}{21}[/tex]
