The range of the function at domain {-2, -1, and 0} will be { 12 , 3 and 0}.
What is range?
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given that:-
The range for the given domain: {-2, -1, and 0} and the function is y = 3x².
The range will be the value of y at each given value of the domain.
Domain: { -2, -1, 0 }
y = 3x²
At x = -2 → y = 3 ( -2)² = 12
At x = -1 → y = 3 (-1)² = 3
At x = 0 → y = 3 (0) = 0
Therefore range of the function at domain {-2, -1, and 0} will be { 12 , 3 and 0}.
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
Answer:
2nd and third option
Step-by-step explanation:
The second option just combines the 6.5p and the 0.01p on the right side to obtain 6.49p. The third option just multiplies both sides by 100.
if someone ask you to write the tens in 1,567
would you write 67 or 6
if someone asks you to write the tens in
145,677
would you write 77 or 7
if someone asks you to write the hundredths in
146,888
would you write 688 or 8 or 888?? explain pls
Answer:
The tens in 1,567 is 60.
The tens in 145,577 is 70.
The hundreds in 146,888 is 800
Step-by-step explanation:
When looking for tens, you look for the value in the tens column.
For example, in 123, there is a 2 in the tens so it is 20.
Si un celular Cuesta 4500 y tiene un descuento de 76%cuamto vq a pagar por el teléfono
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
¿Cuánto cuesta un celular con descuento?
En esta situación una persona recibe un descuento por la compra de su celular, el precio a pagar es el producto de multiplicar el coste sin descuento y el porcentaje remanente en forma fraccionaria. El porcentaje remanente se calcula al restar el descuento del cien por ciento. A continuación, procedemos al cálculo requerido:
x = 4500 × (1 - 76/100)
x = 1080
De acuerdo con las definiciones de precio a pagar, porcentaje de descuento y porcentaje remanente, el precio a pagar por el celular es $ 1080.
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Find the value of :
[tex] \sf log_{3 \sqrt{2} }(324) [/tex]
Answer:
4
Step-by-step explanation:
Is that a log with the base of 3√(2) ?
If so....my calculator says the answer is 4
Let's see if we can do it w/ou the calculator:
3 sqrt(2)^x = 324 = 3^4 * 2^2 Now 'LOG' both sides:
x log (3 sqrt 2) = log (3^4 *2^2) = 4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)
now divide both sides by log (3 sqrt2 )
x = 4 (If I did the math correctly ! )
Find the range of the given function y = 5x + 2, where x > -2
The range of the function given the domain x > -2 is; Range; y < -8.
What is the range of the function?The range of a function is the set of all possible outcomes of the function. In this scenario, since the domain of the function is given as X > -2. It follows from the function that at all times, the range of the function is given by; y < -8 from; y < 5(-2) +2; y< -8.
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which of the following sets are discrete?!? check all that apply.
which of the following sets are discrete?
Answer: C. {2,4,6,8}
Step-by-step explanation:
because constituting a separate entity : individually distinct several discrete sections. 2a : consisting of distinct or unconnected elements : noncontinuous. b : taking on or having a finite or countably infinite number of values discrete probabilities a discrete random variable.
A standard marathon is about 26.2 miles.
How many feet is this equivalent to?
a.)
2400 feet
b.)
420,455 feet
c.)
138,336 feet
d.)
5280 feet
Answer:138,336
Step-by-step explanation:Because one mile=5280 so that takes out a and d but then just multiply 26.2 and 5280 equals 138,336 hope this helps
138,336 feet is equivalent to 26.2 miles.
Hence, Option C is correct.
Given that,
Length of standard marathon = 26.2 miles
We have to calculate the length of it into feet
Since we know that,
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Since we know that
1 miles = 5280
Now to find the length of standard marathon in feet,
Multiply 5280 with 26.2.
Hence the length of marathon in feet,
= 5280 x 26.2
= 138,336 feet.
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Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
(b) 3 terms, degree 10
Step-by-step explanation:
When simplifying polynomials, the first thing you look at is the exponents of the variables in each term. (The terms are separated by + or - signs.) Only terms with the same set of exponents can be combined.
When considering the degree of the polynomial, you look at the sum of exponents of the variables in each term. That sum is the degree of the term. The degree of the polynomial is the highest of the degrees of the terms.
__
exponents and degreeThe four terms have variables s and t. If we write the exponents of those variables as an ordered pair, we will have one ordered pair for each term:
5s⁶t² ⇒ (exponent of s, exponent of t) ⇒ (6, 2); degree = 6+2 = 8
6st⁹ ⇒ (1, 9); degree = 1+9 = 10
-8s⁶t² ⇒ (6, 2); degree 6+2 = 8 (this is a like term to the first term)
-6t⁷ ⇒ (0, 7); degree 0+7 = 7
The degrees are 8, 10, 8, 7, so the highest degree is 10. This is the degree of the polynomial.
__
combining termsWe can only combine the terms containing s⁶t². Doing that gives ...
(5 -8)s⁶t² +6st⁹ -6t⁷ = -3s⁶t² +6st⁹ -6t⁷ . . . . . three terms
In "standard form", the terms are written in order of decreasing degree:
6st⁹ -3s⁶t² -6t⁷ . . . . . . 3 terms, degree 10
the terminal side of an angle, Theta, whose sine value is One-half
Theta has a reference angle of 30° and is in Quadrant I or II.
Sin(theta) = ½
Basic angle: 30
What is the reference angle?
The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.
Angles: 30,
180-30 = 150
Because sin is positive in quadrants 1 and 2.
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Question 1 of 20
The volume of a rectangular box is 5x(x+3)(2x - 1).
Height: 2x-1
Length: x + 3
Width: 5x
Which statement is true?
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
B. The volume is the sum of the length, x + 3, the width, 5x, and the
height, 2x - 1.
C. The volume is the product of the length, x + 3, and the width, 5x.
D. The volume does not depend on the height, 2x - 1.
Answer:
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
Step-by-step explanation:
Volume is defined as the product of the Length, Width, and Height,
V = L*W*H
The Length x Width is the Area of the Base
L*W = Area Base)
Therefore:
The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]
[Area of the Base]
[Area of the Base] = (5x)*(x+3) [(or 5x^2 + 15x)]
Volume = [Area of the Base]*H
Volume = [(5x)*(x+3)]*(2x-1)
The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
That looks a lot like the answer in A: "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."
On a coordinate plane, triangle 1 is reflected across the x-axis to form triangle 4, is reflected across a diagonal to form triangle 3, is reflected across the y-axis to form triangle 2.
Use the figure to complete the statements.
Triangle 1 is the image of triangle 2 reflected over the
.
Triangle 2 is the image of triangle 3 reflected over the
.
Reflecting triangle 4 over the y-axis results in triangle
.
The complete statements are; Triangle 1 is the image of triangle 2 reflected over the y-axis. Triangle 2 is the image of triangle 3 reflected over the x-axis. Reflecting triangle 4 over the y-axis results in triangle 3.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in the opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Triangle 1 is across from triangle 2. If we make the triangles bisect, they will touch the y-axis.
Triangle 2 is above triangle 3. If we make the triangles bisect, they will touch the x-axis.
we can translate it (a congruent shape that is on a different axis and is the same distance from that axis) and rotate it to 90 degrees.
The complete statements are;
Triangle 1 is the image of triangle 2 reflected over the y-axis.
Triangle 2 is the image of triangle 3 reflected over the x-axis.
Reflecting triangle 4 over the y-axis results in triangle 3.
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Anne is visiting a friend who lives 18.5 km away. She travels 10 km by
train, 1.5 km by bus, and walks the rest of the way. If she walks at a rate
of 3.5 km per hour, for how long will Anne walk?
Answer:
Anne will walk for 2 hours.
Step-by-step explanation:
Distance formula = velocity × time
Total distance is 18.5 km
Anne travels by train = 10 km
and by bus = 1.5 km
let the distance covered by anne by walking be x
10 + 1.5 + x = 18.5
x = 18.5 - 10 - 1.5
x = 7km
Rate of walking is 3.5 km per hour
the time she will take while walking = 7 ÷ 3.5 = 2 hours.
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what is the value of sin(80°)cos(20°)-cos(80°)sin(20°)
Answer: sqrt 3 / 2
Step-by-step explanation: cos20°sin80°-cos80°sin20° is about 0.66 and sqrt(3)/2 is about 0.66.
Please mark as brainliest if my answer was correct and/or helpful.
What is the slope of the graph?
Oslope = -1/3
O slope = -3
O slope = 3
O slope = 1/3
which is an incorrect rounding for 53.864
A.54
B.53.87
C.53.9
D.50
The incorrect rounding for 53.864 is 53.87
How to approximation a decimal?The decimal to be approximated is as follows;
53.864
The first option rounded the decimal to 2 significant figures or a whole number.
The second option is incorrect because they rounded it wrongly to 2 decimal places. The correct 2 decimal round is 53.86.
The third option is approximated rightly to one decimal place.
The last option is rounded to the closes tens term.
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Use the formula A=bxh to find the base of a parallelogram if the area is 228 cm² and the height is 12 cm.
O a
Ob
O
Od
19 cm
1.9 cm
19 cm 2
none of the above
Answer:
a) 19 cm
Step-by-step explanation:
Area of a parallelogram: b • h
Given values:
A = 228 cm²b = ? cmh = 12 cmSubstitute these values into the formula:
⇒ A = b • h
⇒ 228 = b • 12 [multiply]
⇒ 228 = 12b [divide both sides by 12]
⇒ 228 ÷ 12 = 12b ÷ 12
⇒ 19 = b
Therefore, the base of the parallelogram is 19 cm.
This is confusion please help
Answer:
c = 5√5
Step-by-step explanation:
When we have a right triangle, there is a property about its measurements that is always true, and its called the "Pythagorean Theorem"
First, let's understand the basic terms we use to describe the sides of a triangle:
we can call one leg "a", the other leg "b" and the slanted side "c"
("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)
the pythagorean theorem:
a² + b² = c²
here, our "a" is 5, our "b" is 10 {and we don't know what c is}
let's try plugging these values into our formula:
a² + b² = c²
5² + 10² = c²
25 + 100 = c²
125 = c²
now, we know what c² is--but we want to know c,
so we must take the square root of both sides
√125 = √c²
√125 = c
now, while √125 is our answer, we can simplify further!
this is because 125 can be made up of 5 · 25
so, [tex]\sqrt{125} = \sqrt{5*25}[/tex]
and
[tex]\sqrt{5*25}=\sqrt{5}*\sqrt{25}[/tex]
we can take out the square root of 25 (5):
[tex]=\sqrt{5}*5[/tex]
we write this as such: [tex]5\sqrt{5}[/tex]
so, in simplest radical form, c = 5√5
(√125)
hope this helps!! have a lovely day :)
2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the father and son
Answer:
The Father is currently 47 and the Son is 7
Step-by-step explanation:
Let F and S be the present ages of Father and Son, respectively.
We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]
We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]
Take the first expression and isolate one of the variables (S or F). I'll isolate F:
(F-2) = 9(S-2)
F = 9S - 16
Now use this in the second expression:
(F+3) = 5(S+3)
((9S-16)+3) = 5(S+3)
9S-13 = 5S+15
4S = 28
S = 7
Since F = 9S-16,
F = 9*(7)-16
F = 47
Father is 47 and Son is 7
CHECK:
Was the father 9 times the age of his son 2 years ago?
Father would have been 45 and son 5. Yes, 9*5 = 45
In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50
Simplify completely.
3 189x5y7
√/7x²y²
3
Answer:
[tex]\large \boxed{\sf 3x\sqrt[3]{y^5}}[/tex]
Explanation:
[tex]\rightarrow \dfrac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}[/tex]
applying radical rule[tex]\rightarrow \sf \sqrt[3]{\dfrac{\sf 189x^5y^7}{\sf 7x^2y^2}}[/tex]
simplify[tex]\rightarrow \sqrt[3]{\sf 27x^3y^5}[/tex]
put cubic root[tex]\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}[/tex]
simplify[tex]\rightarrow \sf 3x\sqrt[3]{y^5}[/tex]
Which of the following is equal to 5 1/3?
OA. 1/5
OB. 5 3
O C. √5.3
OD. √5
The correct answer is option B which is ( 5 / 3)
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
The value will be calculated as:-
[tex]5\times \dfrac{1}{3}[/tex] = [tex]\dfrac{5}{3}[/tex]
1.67 = 1.67
Therefore the correct answer is option B which is ( 5 / 3)
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(x^2 + x - 17) + (x − 4) divide using polynomial long division
Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)
Step-by-step explanation: See attachment
Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 ab b2)
Answer:
Step-by-step explanation:
Expanding the right-hand side,
[tex](a-b)(a^{2}+ab+b^{2})=a^{3}+a^{2}b+ab^{2}-a^{2}b-ab^{2}-b^{3}=a^{3}-b^{3}[/tex]
Thus, the identity is true.
What is the ratio of the circumference of a circle to its radius?
Answer:
2 pi : 1
Step-by-step explanation:
for every one unit of radius, there are two pi units in the circumference!
PLEASE HELP ASAP
The file is attached
The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta = tan\dfrac{\pi}{4}=1\ \ \ \ Cos \theta=Cos\dfrac{\pi}{4}=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta =Sin\dfrac{\pi}{4}= \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta=tan \dfrac{\pi}{6}= \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta =Sin\dfrac{\pi}{6}= \dfrac{1}{2} \ \ \ \ \ Cos \theta = Cos\dfrac{\pi}{6}= \dfrac{\sqrt{3}}{2}[/tex]
Therefore the trigonometric function for an angle [tex]\dfrac{\pi}{4}[/tex] is
[tex]tan\theta =1\ \ \ \ Cos \theta=\dfrac{\sqrt{2}}{2}\ \ \ \ Sin\theta = \dfrac{\sqrt{2}}{2}[/tex]
The trigonometric function for an angle [tex]\dfrac{\pi}{6}[/tex] will be:-
[tex]tan\theta = \dfrac{1}{\sqrt3}}\ \ \ \ \ Sin\theta = \dfrac{1}{2} \ \ \ \ \ Cos \theta = \dfrac{\sqrt{3}}{2}[/tex]
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Solve for x: 4(x + 2) = 3(x-2)
Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation. from past years, the teacher has determined that 20% of students usually choose to make a brochure, 30% of students usually choose to write a news article, and the remaining students usually choose to design a computer presentation. if the teacher uses 20 colored chips in three different colors to model this situation, how many colored chips should she use to represent each book project option? making a brochure: blue chips writing a news article: yellow ships designing a computer presentation: red chips
Answer: 4 blue chips (brochure), 6 yellow chips (news article), and 10 red chips (computer presentation).
Step-by-step explanation: If you have 20 colored chips, then 20% of the people that chose the brochure will be 20% of 20 of the chips. That is 20 * 0.2 = 4. Now, to find how to model the people who chose the news article, it will be 30% of the 20 chips. That is 20 * 0.3 = 6. Thus, 6 chips can be modeled for the news articles. Lastly, we add 6 + 4 and that is 10. The rest is another ten out of the 20. Thus, we can use 10 red chips to model the computer presentation.
The teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
What is Division?A division is a process of splitting a specific amount into equal parts.
To model this situation using colored chips, we can use the following approach:
Divide the total number of chips (20) into five equal parts, each representing 20% of the total number of students.
For the making a brochure option, use four blue chips to represent the 20% of students who choose this option.
For the writing a news article option, use six yellow chips to represent the 30% of students who choose this option.
For the designing a computer presentation option, use ten red chips to represent the remaining 50% of students who choose this option.
So, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
Hence, the teacher should use 4 blue chips for the making a brochure option, 6 yellow chips for the writing a news article option, and 10 red chips for the designing a computer presentation option.
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suppose that average total cost is $36 when q=24. what is the profit-maximizing price and resulting profit?
The profit-maximizing price and resulting profits are $36 and $0 respectively.
What is profit-maximizing price?The profit-maximizing price for the monopoly will be to produce at the quantity where marginal revenue is equal to marginal cost.
Therefore, suppose the average total cost is $36 when q = 24, the profit maximizing price is as follows:
when Q = 24 at average cost = $36,
Then,
profit-maximizing price = p = $36
Hence, the resulting profit is as follows;
resulting profit = 36 - 36 = $0
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A restaurant offers a $12 dinner special that has choices for an appetizer, choices for an entrée, and choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?.
Answer:
4 is my answer:))))) maybe this will help
Answer:
1
Step-by-step explanation:
it depends on how many choices there are
If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert
(1 * 1 * 1 = 1)
then there is 1 meal choice
If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.
(7 * 12 * 6 = 504)
then there are 504 different options
If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert
(5 * 12 * 3 = 180)
then there are 180 options
12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert
(12 * 10 * 6 = 3240)
then there are 3240 meal options
you have to multiply the number of entrées (e), meals (m), and desserts (d)
e * m * d = x
you are solving for x, which is the different meals available aka your answer.
so plug in the numbers and that should give you the answer!
hope this helps:)
Mary has 20 flowers in 5 vases. How many flowers are there in every vase?
One forth of one third of two fifths of a number is 15. What is the number?
A fourth of a third of two fifths is a thirtieth.
(1 x 1 x 2) / (4 x 3 x 5) = 2 / 60 = 1 / 30
A thirtieth of a number () is fifteen, the number is four hundred and fifty.
= 15 / (1 / 30) = 15 x 30 = 450
forty percent of four hundred and fifty is one hundred and eighty.
(450 / 100) x 40 = 180
Answer:
The number is 450
Step-by-step explanation:
One fourth is 1/4,
One third is 1/3
and two fifths is 2/5
let the number be x.
So,
One fourth of one third of two fifths of x is 15.
that is,
1/4 * 1/3 * 2/5 * x = 15
2/4*3*5* x = 15
2/60 * x = 15
1/30 * x = 15
1 * x = 15*30
x = 450
Therefore the number is 450
