Answer:
Δ = b² - 4ac
Step-by-step explanation:
do math
Rafe buys a cake for $12. The sales tax is 10%. How much is the sales tax?
A. $1.20
B.$10
C.$12
D.$13.20
Answer:
A $1.20
Step-by-step explanation:
Answer: A) $1.20
Step-by-step explanation: To get 10% of a number, you just need to divide by 10, so 12 ÷ 10 = 1.2.
Find X and Y, this was too hard for even my parents
Answer:
6x+97
Step-by-step explanation:
Hint: 3 sides of a triangle adds up to 180*.
((i know ur gonna clown on me for not giving the answer(i know the answer :d)but trust me the if u get da hint, ull solve it fine)
EXPONENTS : PRODUCT RULE:
Simplify the expression 3 with the exponent 4, (Multiplying to), 3 with the exponent of 3.
The simplified expression is 2187.
Given expression:
expression 3 with the exponent 4 multiplying 3 with the exponent of 3.
= [tex]3^{4} *3^{3}[/tex]
we know that,
if base are equal exponents are added.
= [tex]3^{4+3}[/tex]
= [tex]3^{7}[/tex]
= 3*3*3*3*3*3*3
= 9*3*3*3*3*3
= 27*3*3*3*3
= 81*3*3*3
= 243*3*3
= 729*3
= 2187.
Therefore the simplified expression is 2187.
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PLEASE HELP ME THIS IS DUE TOMORROW!!!!!!!!
(a) The scatter plot and the line of fit are shown in the graph.
(b) The equation of the line of fit is y = -2.5x+18.3.
(c) The slope is -2.5 which indicates that the gamer losses 2.5 every week after getting a new game.
What is a scatter plot?A scatter plot is a graph of the given points or given data.
(a)
To make a scatter plot of the data, plot the points (x,y) on a graph.
To draw the line of fit, draw a line such that the distance between the line and the plotted points is minimum.
(b) The line passes through points (7.3,0)and (0,18).
The equation of the line is given by:
[tex]y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)[/tex]
Substitutes the points (x₁,y₁) = (7.3,0) and (x₂,y₂)=(0,18) into the above equation:
[tex]y-0=\frac{18-0}{0-7.3}(x-7.3)\\y=-2.5(x-7.3)\\y=-2.5x+18.3[/tex]
(c) The slope of a line of the form y=mx+c is m.
Therefore, the slope of the line y=-2.5x+18.3 is m = -2.5.
The slope indicates the change in y with respect to the change in x.
Therefore, the slope -2.5 indicates that the gamer losses 2.5 every week after getting a new game.
Hence,
(a) The scatter plot and the line of fit are shown in the graph.
(b) The equation of the line of fit is y = -2.5x+18.3.
(c) The slope is -2.5 which indicates that the gamer losses 2.5 every week after getting a new game.
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I need to know the answer
Step-by-step explanation:
The graph of [tex]p(x)=2x^3[/tex] is less steep than [tex]f(x)=2.5x^3[/tex] because the coefficient 2 is less than the coefficient 2.5. That makes points on the graph of p(x) lie closer to the x-axis than points on the graph of f. For example, if x = 2, the point (2, 20) is on the graph of f but the point (2, 16) is on the graph of p (so it lies under the point (2, 20).
The graph of [tex]p(x)=-x^3[/tex] is less steep than the graph of f and it is reflected over the x-axis. The negative coefficient -1 is doing that. The values of the function p(x) are opposite sign to values of f(x).
The graph of [tex]p(x)=3x^3[/tex] is steeper than the graph of f(x) because the coefficient 3 is larger than the coefficient 2.5, making the points on the graph of p lie farther away from the x-axis than points on the graph of f(x).
What is the center of a circle whose equation is x2 y2 4x â€" 8y 11 = 0? (â€"2, 4) (â€"4, 8) (2, â€"4) (4, â€"8)
Given the equation x² + y² + 4x - 8y + 11 = 0, the center of the circle is (-2, 4).
The standard form of the equation of circle is given by
(x - h)² + (y - k)² = r²
where (h , k) is the location of the center and r is the radius of the circle.
On the other hand, the general form of the equation of circle is given by
x² + y² + Dx + Ey + F = 0
where D = -2h, E = -2k, and F = h² + k² - r².
If the equation of the circle in general form is x² + y² + 4x - 8y + 11 = 0, then the coefficients are:
D = 4
E = -8
F = 11
If D = -2h and D = 4, then
4 = -2h
h = -2
If E = -2k and E = -8, then
-8 = -2k
k = 4
Hence, the center of the circle is (h, k) = (-2, 4).
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Twenty points!
how does the value of the eccentricity of the ellipse describe its shape?
x212+y249=1
select answers from the drop-down menus to correctly complete the statements.
the eccentricity of the ellipse is approximately
. this value indicates that the ellipse is more
The value e = 0.869 indicates that the ellipse is more elongated that circular.
Given,
x²/12+y²/49 = 1
We will compare with x²/a² + y²/b² = 1 where a<b
Coordinate of center = (0,0)
Here a²=12 and b²=49
We know that the formula of eccentricity(e)
e=√(1-(a²/b²))
= √(1-(12/49))
= √37/7
=0.869
Therefore e=√37/7 = 0.869
Therefore this value indicates that the ellipse is more elongated that circular.
In mathematics, an ellipse is a plane bend encompassing two central focuses, to such an extent that for all focuses on the bend, the amount of the two distances to the central focuses is a consistent. It sums up a circle, which is the extraordinary kind of oval wherein the two focal points are something similar.
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Find the AGI and taxable income:
$23,670 and $12,400
$12,400 and $11,270
$11,270 and $23,670
$23,670 and $11,270
The AGI and taxable income is $23,670 and $11,270
How to calculate AGI(Adjusted gross income) ?
The AGI calculation can be done as,
It is determined by subtracting specified deductions, or "adjustments," that you are qualified to claim from the total income you report that is subject to income tax, such as wages from a job or self-employment, dividends, and interest from a bank account.Before you take the standard or itemized deductions, which you record in later sections of your tax return, your AGI is computed.We have given that,
Gross income = $23670
1 Exemption = $12400
Adjustment = 0
Deduction = 0
Find AGI and Taxable income
AGI = Adjusted gross income
we know,
AGI = Total income - Any deduction or any adjustment
AGI = ($23,670 + $12400) - (0 + 0)
AGI = $36070
Now, Calculate taxable income
Taxable income = Gross income - 1 Exemption
= $23670 - $12400
= $11,270
Hence, the AGI and taxable income is $36,070 and $11,270
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Answer: D is the answer
Step-by-step explanation:
$23,670 and $11,270
0.38 in standard form
Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles
per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many
miles does the second cyclist bike in 45 minutes?
The distance covered by second cyclist is, 9 + (3/4)b miles.
What is speed?
Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be meters per second (m/s) in this example since the distance is measured in meters (m) and the time is measured in seconds (s).
Given: Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions.
The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist.
Speed of first cyclist = 12 miles per hour.
Speed of second cyclist = 12 + b miles per hour.
Since, distance = speed x time
The distance covered by the second cyclist in 45 minutes is,
45 minutes = 45/60 = 3/4 hour.
Therefore, distance covered by second cyclist is,
= (12 + b) x 3/4 = 9 + 3b/4 miles.
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Which inequality correctly compares One-half, Three-fourths, and Two-thirds?
One-half < Three-fourths < Two-thirds
One-half < Two-thirds < Three-fourths
Two-thirds < One-half < Three-fourths
Three-fourths < One-half < Two-thirds
An inequality correctly compares One-half, Three-fourths, and Two-thirds is: One-half < Two-thirds < Three-fourths.
What is an inequality?An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values (numbers) and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Translating the numbers in word to numerical values, we have:
One-half = 1/2 or 0.5
Three-fourths = 3/4 or 0.75
Two-thirds = 2/3 or 0.67
Next, we would compare the above numerical values by using the less than (<) inequality symbol as follows:
0.5 < 0.67 < 0.75
One-half < Two-thirds < Three-fourths.
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Which of these strategies would eliminate a variable in the system of equations?
The strategy which would eliminate a variable in the system of equations is to multiply the top equation by -5 , then add the equation and is denoted as option B.
What is Equation?This is a mathematical term which is made up of two expressions and is connected by an equal sign.
In the example given below:
x - 2y = 11
5x + 3y = -11
We can multiply the top by -5 which will result in:
-5x + 10y = -55 after which it is added to the other to give:
-5x + 5x + 10y + 3y = -55 + (-11)
13y = -66
y = -66/13.
From this we can notice that the variable x was eliminated which is why option B is the correct choice.
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Raymond sings in a choir called the Seaville Songbirds. For every 5 modern songs they learn, the choir leader teaches them 3 classical songs.
Based on the given ratio of modern and classical songs learned, the number of modern songs learned if 9 classicals have been learned is 15
What is the number of modern songs learned?Number of modern songs they learn = 5Number of classical songs = 3If the choir has learned 9 classical songs;
Number of modern songs learnt = xEquate the ratio of the number of modern songs to the number of classical songs
5 : 3 = x : 9
5/3 = x/9
cross product5 × 9 = 3 × x
45 = 3x
divide both sides by 3
x = 45/3
x = 15
In conclusion, the number of modern songs they have learned if they learn 9 classical songs is 15
Complete question:
Raymond sings in a choir called the Seaville Songbirds. For every 5 modern songs they learn, the choir leader teaches them 3 classical songs.
If the choir has learned 9 classical songs, how many modern songs have they learned?
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What is the value of the expression a(b/c)+ a=3
B=4 C=2
Use the bar diagram to write an equation. Then solve. Drag numbers to complete the equations.
Step-by-step explanation:
as the graph shows :
4x + 12x = 320
16x = 320
x = 20
In a city school, 60% of students have blue eyes, 55% have dark hair and 20% have neither blue eyes nor dark hair. determine the probability that a randomly selected student will have blue eyes and dark hair
The probability of of a random student having blue eyes and dark hair
is 35% .
let consider the total students in the school be (U) = 100%
out of them ,
students having blue eyes (A) = 60%
students having dark hair (B) = 55%
students with neither blue eyes nor dark hair (A∪B)' = 20%
let the students with blue eyes and dark hair be (A∩B) = x %
Then according to the set theorem
U = n(A∪B) + n(A∪B)'
U = n(A) + n(B) - n(A∩B) + n(A∪B)'
100 = 60 + 55 - x +20
∴ x = 60 + 55 +20 - 100
x = 35 %
So the probability of random student having blue eyes and dark hair is 35% .
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each other.
с
D
1. The volume of box A is 64 cubic inches. The circumference of a regulation baseball is at least 9 inches but no more
than 9.25 inches. Can a baseball fit in box A? Explain.
2. Box B has a surface area of 216 square inches. What is the ratio of the side length of box B to the side length of box
A?
3. The ratios of the side lengths of B to A, C to B, and D to C are the same. How much more space do the boxes
occupy when stored separately in a closet than when they are stacked inside each other in the closet?
1.) Yes,it will fit because volume of the base ball is 13.36 cubic inch and the volume of box is 64 cubic inch which greater than the volume of baseball .
2) The ratio of the side length of box B to the side length of box
A is 1.472 inche : 6 inch.
What is cube ?
A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.
What is circumference?
The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.
To check whether the baseball is will till in the box we will check the maximum value of circumference.
⇒ [tex]2\pi r[/tex] = 9.25
⇒ [tex]r = \frac{9.25}{2\pi}[/tex]
⇒[tex]r = 1.472 in.[/tex]
Volume of the baseball [tex]= \frac{4}{3} \pi x^{3}[/tex]
[tex]= \frac{4}{3}\times \pi\times (1.472)^3 in^3[/tex]
[tex]= 13.36\ in^3 < 64 \ in^3\\[/tex]
So, it will fit inside the box.
2.)[tex]\sqrt[3]{216} = 6 \ (\therefore V = a^3)[/tex]
The length of each side of the box is 6 inches.
and the ratio of the side length of box B to the side length of box
A:
1.472 in : 6 inches
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true or false? a large number of mba applicants are given an aptitude test. scores are normally distributed with a mean of 460 and standard deviation of 80. the probability that an applicant scores below 552 is 0.8329.
It is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.
Given, a large number of MBA applicants are given an aptitude test. scores are normally distributed with a mean of 460 and standard deviation of 80.
We are asked the probability that an applicant scores below 552.
Now, using the formula of probability, we get
P(X < 552) = 0.8329
when the mean is given i.e. 460 and standard deviation is given i.e. 80.
Hence, it is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.
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The sequence below shows a certain company's expected net worth in millions of dollars after 1, 2, 3, 4 years, etc....
8.3, 10.4, 12.5, 14.6,...
Which function models the nth term of this sequence?
Responses
f(n) = 8.3 + 2.1nf(n) = 8.3 + 2.1n
f(n) = 8.3 − 2.1nf(n) = 8.3 − 2.1n
f(n) = 8.3 + 2.1(n+1)f(n) = 8.3 + 2.1(n+1)
f(n) = 8.3 + 2.1(n−1)
f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given,
The sequence below shows a certain company's expected net worth in millions of dollars after 1, 2, 3, 4 years, etc....
8.3, 10.4, 12.5, 14.6,...
The given sequence is a arithmetic sequence.
The first term is 8.3
The common difference is 2.1
The nth term of arithmetic sequence aₙ=a+(n-1)d
the nth term of this sequence=8.3+(n-1)2.1
f(n)=8.3+(n-1)2.1
Hence, f(n) = 8.3 + 2.1(n−1) function models the nth term of the sequence 8.3, 10.4, 12.5, 14.6.
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n how many ways can a math team of 14 students be chosen from a math club which consists of 15 seniors and 11 juniors if the team must consist of 8 seniors and 6 juniors?
Using Combination formula, total 2,24,070 ways to make a math team of 14 selected students in which consist of 8 seniors and 6 juniors.
We have following information,
total number of seniors in math club = 15
total number of juniors in math club = 11
total number of students in math club = 26
A math team of 14 students be choosen from maths club such that it consists 8 seniors and 6 juniors .
Number of ways to choose 8 seniors out of 15 seniors = ¹⁵C₈ = 485
Number of ways to choose 6 juniors out of 11 juniors = ¹¹C₆ = 462
Number of ways to select/choose a math team of 14 students consists 8 seniors and 6 juniors
= 485 × 462 = 2,24,070
Hence, the number of ways to select/choose a math team of 14 students consists 8 seniors and 6 juniors is 2,24,070..
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In any triangle the sum of the measures of the angles is 180°. And ABC is three times as large as B and also 16° larger than C. Find the measure of each angle
The measures of the each angle of the triangle is 84, 28 and 68 degrees.
How to find the measure of angles in a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The triangle has the sum of the measures of the angles as 180°.
Angle A is three times as large as angle B and also 16° larger than C.
Therefore,
let
angle A = x
Angle B = x / 3
Angle C = x - 16
Therefore,
x + x - 16 + x /3 = 180
7 / 3 x - 16 = 180
7 / 3 x = 180 + 16
7 / 3 x = 196
cross multiply
7x = 196 × 3
7x = 588
divide both sides by 7
x = 588 / 7
x = 84
Therefore,
A = 84 degrees
B = 84 / 3 = 28 degrees
C = 84 - 16 = 68 degrees
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What is one possible y coordinate
Answer:
Step-by-step explanation:
Answer x = 4 or x = -4.
Explanation: you can make what is called a 3-4-5 triangle. The base in this case is 3(from -2 to -5 there is 3 units), the hypotenuse is 5(length given in the question) therefore the height (also known as the y coordinate) is 4 or -4 if you flip the triangle.
Isosceles and Equilateral Triangle
x = y = 48 , by using angle sum property of triangle.
What are the properties of triangle?
A triangle's characteristics are:
1. Three sides, three angles, and three vertices make up a triangle.
2. A triangle's total internal angles are always equal to 180 degrees. This is referred to as the triangle's angle sum property.
3. Any two triangle sides can add up to a length that is longer than the third side.
4. The greatest side of a triangle is the side that faces the largest angle.
5. The sum of the triangle's internal opposite angles is equal to any of its outer angles. This is referred to as the triangle's outside angle property.
In the given triangle , two sides of the triangle are equal and we know angle opposite to equal sides are equal therefore both angle x and y are equal.
Now, Using angle sum property of triangle
x + y + 84 = 180 degree
x + x + 84 = 180
2x + 84 = 180
2x = 180 - 84
2x = 96
x = 96/2
x = 48
Similary , y = 48 as x and y are equal.
Therefore, x = y = 48
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couple has 5 kids, all sons. if they have a sixth kid, what is the probability that the sixth kid will be a son?
help
How many terms are in the following
expression:
5x + 3 - x +2x + 2/3x
Can anyone state the vertex of the graph?
the graph above is the graph of a Cubic function, namely a polynomial with a degree of "3", and the behaviour is that it comes from the bottom from -infinity goes up up get to a smooth flat or horizontal plateau then it keeps on going right back up, its slope is never negative.
now, Cubic functions do not have a "vertex" as in a U-turn sense or a peak-sense.
Anthony's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=57+7.4x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y=90
The meaning of the x-value when y=90 means that Anthony will use 3.1 hours.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The relationship that can be represented by the equation y=57+7.4x,
where
y represents the expected quiz score
x represents hours spent on homework that week.
When y = 90, the value of x will be:
y=57+7.4x
57 + 7.4x = 90
Collect like terms
7.4x = 90 - 57
7.4x = 23
Divide
x = 23/7.4
x = 3.1
He'll use 3.1 hours.
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what is 9/10 x (-1 1/4)
Answer:
-2.475
Step-by-step explanation:
Round 112.511 off each number to two (2) Decimal Place
In the given figure, l ∥ m and n are a transversal. If ∠1=80° and ∠5=100°,
find the measure of <2 , ∠3, ∠4.
Please give brief explanation
The value of angle ∠5 will be equal to 120°.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a variety of lines, including transversal, intersecting, and perpendicular lines.
A figure called an angle is one in which two rays originate from the same point. In this area, you might also encounter contrasting and related viewpoints.
Given that In the given figure, l ∥ m and n are transversal and the angles are ∠1=80° and ∠5=100°.
First, calculate angle 2,
∠1 = ∠2 = 80 ( By alternate interior angles)
Calculate the angle ∠4,
∠4 = 180 - 80 - 40
∠4 = 180 - 120
∠4 = 60°
Calculate the angle ∠5,
∠5 = 180 - 60
∠5 = 120
Therefore, the value of angle ∠5 will be equal to 120°.
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