Answer:
1. y-2=2/3(x-1) slope: y=2/3x+4/3 standard: 2x-3y=-4
Step-by-step explanation:
URGENT!! 25 POINTS!!!!!
What is the equation shown
by the following graph?
Answer:
denominator - 6234 is math
Step-by-step explanation:
Please hurry its timed and i really need help!
Hello!:
Let's take this problem in steps:
[tex]sinx-\sqrt{3-3sin^2(x)}=0\\\\\text{We know that } sin^2(x) + cos^2(x)=1 \text{ and that } cos^2x=1-sin^2(x)\\\\sin(x)-\sqrt{3(1-sin^2(x))}=0\\\\sin(x)-\sqrt{3*cos^2(x)}=0\\\\sin(x)-\sqrt{3}*cos(x)=0[/tex]
Now we need to find the value of sin(x) and cos(x) where the value becomes zero:
--> and it so happens to be:
[tex]sin(30)=\dfrac{1}{2} \\\\cos(120)=\dfrac{\sqrt{3}}{2}[/tex]
Thus:
[tex]sin(30)-\sqrt{3}*cos(120)=0\\\\\dfrac{1}{2} -\sqrt{3}*\dfrac{\sqrt{3} }{2} =0\\\\\\\dfrac{1}{2} -\dfrac{1}{2} =0\\\\0=0[/tex]
Answer: (B)
Mrs. Hanover borrows $1,413 at a
rate of 5% per year. How much
Simple Interest will she owe if it
takes her 9 months to repay the
loan? Round your answer to the
nearest cent
well, let's recall that a year has 12 months, so 9 months is really 9/12 of a year
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1413\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1413)(0.05)(\frac{3}{4}) \implies I = 1413(\frac{3}{80})\implies I\approx 52.99[/tex]
hat is the product of the least common multiple and the greatest common factor of $22$ and $48$?
Answer:
1056
Step-by-step explanation:
You want the product of the LCM and the GCF of 22 and 48.
ProductOne way to find the LCM of two numbers is to start with their product, then divide out the extra factor:
LCM(A, B) = (A×B)/GCF(A, B)
Since we want the product of the LCM and the GCF, we can start with this and multiply by the GCF:
LCM(A, B) · GCF(A, B) = ((A×B)/GCF(A, B)) · GCF(A, B)
LCM(A, B) · GCF(A, B) = A×B
Using this for the given numbers, we get ...
LCM(22, 48)·GCF(22, 48) = 22·48 = 1056
__
Additional comment
If you want to go to the trouble of finding the LCM and GCF, you get ...
22 = 2·11
48 = 2·24
LCM(22, 48) = 2·11·24 = 528
GCF(22, 48) = 2
LCM·GCF = 2·528 = 1056
What is an example of horizontal symmetry?
The examples of horizontal symmetry is B, C, H, E.
The term horizontal symmetry is defined as is a line about which the object is symmetric.
Here we know that the symmetry line or horizontal axis of a shape which divides the shape into two identical halves is known as horizontal line of symmetry.
Which defines that the axis here crosses across the shape to cut it into two equal parts.
Therefore, the English alphabets such as B, C, H, E, are the examples of horizontal symmetry.
In this case, here we have a horizontal line passing through the middle of the image and when the image is folded along this line, then we get the two halves overlapping and coinciding perfectly.
Therefore, this one is also an example for this could be a square or a rectangle or any other object that is symmetric horizontally.
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Gillian feeds the goats the same amount of hay each day. On May 3, she has 72 pounds of hay left. On May 5, she has 60 pounds of hay left.
Based on the information and the graph provided, how many ponds of hay does Gillian most likely have left on the day that she has most likely 3 pounds of grain left? Provide evidence to support your answer. Include algebraic representations for each situation as part of your support
Answer:56
Step-by-step explanation:
Let ttt be the initial number of trees.
Hint #22 / 5
MacDonald now has t-5t−5t, minus, 5 trees and each one produced 210210210 oranges this harvest.
The total number of oranges produced is 210(t-5)210(t−5)210, left parenthesis, t, minus, 5, right parenthesis.
Hint #33 / 5
Since the trees produced a total of 417904179041790 oranges, let's set this equal to 417904179041790:
\qquad210(t-5)=41{,}790210(t−5)=41,790210, left parenthesis, t, minus, 5, right parenthesis, equals, 41, comma, 790
Now, let's solve the equation to find the initial number of trees (t)(t)left parenthesis, t, right parenthesis.
Hint #44 / 5
\begin{aligned}210(t-5)&=41790\\&\\ \dfrac{210(t-5)}{\blue{210}}&=\dfrac{41790}{\blue{210}}&&\text{divide both sides by $\blue{210}$}\\ \\ t-5&=199\\ \\ t-{5}\pink{+5}&=199\pink{+5}&&\pink{\text{add }} \pink{5} \text{ to both sides}\\ \\ t&=204\end{aligned}
210(t−5)
210
210(t−5)
t−5
t−5+5
t
=41790
=
210
41790
=199
=199+5
=204
divide both sides by 210
add 5 to both sides
Hint #55 / 5
The equation is 210(t-5)=41790.210(t−5)=41790.210, left parenthesis, t, minus, 5, right parenthesis, equals, 41790, point
MacDonald's farm initially had 204204204 orange trees.
Related content
City Fitness, a popular gym, currently has 840 members. Based on its membership statistics since opening a few years ago, City Fitness expects to grow its membership by a factor of
1
4
each year.
Write an exponential equation in the form y=a(b)x that can model the number of members, y, in x years.
The growth in x years for the gym will be represented as [tex]y = 840(1.25)^x[/tex].
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
City Fitness, a popular gym currently has 840 members. Based on its membership statistics since opening a few years ago, City Fitness expects to grow its membership by a factor of 1/4.
The expression can be written as,
[tex]y = 840(1.25)^x[/tex].
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The picture shows a shed. Find the length, AB, of the roof.
The length AB of the roof is 3.20 m.
What is the Pythagorean theorem.
The Pythagorean theorem is one that can be used to determine the value of the unknown side of a right triangle when given two of its sides.
The theorem states that;
/Hyp/^2 = /Adj/^2 + /Opp/^2
Considering the given picture of the shed, draw a perpendicular to B from a point C on parallel line A. So that the length of AB can be referred to as the hypotenuse of triangle ABC.
Now applying the Pythagorean theorem, we have;
/Hyp/^2 = /Adj/^2 + /Opp/^2
/AB/^2 = /2/^2 + /2.5/^2
= 4 + 6.25
/AB/^2 = 10.25
AB = (10.25)^ 1/2
AB = 3.20
Thus, the length of AB of the roof is 3.20 m.
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How do you calculate quantity of seed?
The following is how you can calculate quantity of seed:
Sowing rate (kg/ha) = target plant population (p/m2) x TGW (g) x 100. % germination x % emergence.
What is Sowing rate?The quantity of seed necessary for a unit area of land to successfully grow any crop is known as Sowing rate. In other words, the Sowing rate for that crop of the land refers to the quantity of seed needed to successfully raise a crop on a given piece of land. The Sowing rate, on the other hand, refers to the quantity of seed needed to cover a given area of land.
Goals in calculating the Sowing rate:
to make sure there are enough plants in the field.in order to decrease seed waste.to be aware of how much seed will be needed in advance for a specific piece of land.to improve a crop's quality and yield.to lower the expense of growing crops.Learn more about Sowing
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(NEED HELP ASAP!!)
What are the coordinates of the focus of the parabola?
A: (8, 6)
B: (-8, 6)
C: (-8, 2)
D: (8, 2)
Answer:
C: (-8, 2)
Step-by-step explanation:
Given parabola:
[tex]y=-\dfrac{1}{8}x^2-2x-4[/tex]
For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.
Therefore, the x-value of the vertex of the given parabola is:
[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8[/tex]
To find the y-value of the vertex, input x = -8 into the given equation:
[tex]\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4[/tex]
Therefore, the vertex (h, k) of the parabola is (-8, 4).
The focus of the parabola is (h, k+p) where:
(h, k) is the vertex[tex]p=\dfrac{1}{4a}[/tex]Therefore:
[tex]\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)[/tex]
The Burj Khalifa building in Dubai, United Arab Emirates, is one of the tallest buildings in the world at 2,722 feet tall. An American football field is 360 feet in length. Approximately how many football fields tall is the Buri Khalifa building? Round to the nearest tenth.
Answer:
7.5 which rounds to 8
Step-by-step explanation:
2,722 divided by 360 equals 7.56
check if needed <3
Find the value of x in the figure
Answer:
x=40º
Step-by-step explanation:
A straight line is 180º
180-40=140º
180-140=40º
x=40º
Hope this helps :)
Lloyd's Llamas has $3,241.77 in liabilities and $12,457.12 in owner's equity. If the accounting equation is in balance, Lloyd's has $_______ in assets.
The number of asset is 15.698.89
How to calculate the number of asset ?
Assets = liabilities + equity
liabilities= 3,241.77
equity= 12,457.12
Assets= 3,241.77 + 12,457.12
= 15.698.89
Hence Lloyd has 15.698.89 number of assets
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The scattered plot below shows the relationship between the total calories a meal has and the number of calories from fat.
If a meal has 300 calories from fat, how many total calories would you expect it to have?
Total 400 calories is expected to have a meal has 300 calories from fat the relationship between the total calories a meal has and the number of calories from fat .
what is scatterplot ?A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables). There are points on a scatter (XY) plot that depict the connection between two sets of data. The sample illustrates the weight and height of one person for each dot. Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another. The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.
given
300 calories from fat
total = 100 + 100 + 200
= 400 calories
Total 400 calories is expected to have a meal has 300 calories from fat the relationship between the total calories a meal has and the number of calories from fat .
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Find the lope of a line parallel to the line whoe equation i 6xy=-36xy=−3. Fully implify your anwer
The line parallel to 6y = -36x -3 will have the same slope which will be -6.
What is Slope of a line ?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates of a line in order to determine its slope.
Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
The equation of the line is
6y = -36x -3
⇒y = -6x - 1/2
From slope intercept form of the equation we know that
equation of the line is y = mx + c
where m is the slope.
Therefore,
slope the line is -6
The line parallel to 6y = -36x -3 will have the same slope which will be -6.
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Determine if the triangles can be proved congruent by SSS, SAS, ASA, AAS, or HL.
SSS
The triangles can be proved congruent by SAS theorem.
Properties of congruent triangles.Two or more triangles are said to be congruent if and only if their corresponding length of sides and measure of internal angles are equal. Therefore, congruency is a property of equality of the triangles.
To prove that two or more triangles are congruent, then their corresponding sides are compared if they are equal. Also the measure of their corresponding internal angles are considered if they are equal.
Therefore. in the given question, to determine if the triangles can be proved congruent by the appropriate theorem;
It can be seen that the two sides of the triangles are equal. Also the measure of their included angles are equal. Therefore, the triangles can be proved to be congruent by SAS.
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Find the volume of given solid figure.
Answer:
48cm3
Step-by-step explanation:
Volume of a rectangular box = a.b.c
The volume of the solid figure: (2.2.5) + (7.2.2) = 20 + 28 = 48 cm3
Simplify:-
[tex]x {}^{2} - 5x + 6 \div x {}^{2} +3x - 10 \\ [/tex]
Guys help me please.
Step-by-step explanation:
[tex] = {x}^{2} \div {x}^{2} + 3x - 5x + 6 - 10 \\ = 1 - 2x - 4 \\ = - 2x - 4 + 1 \\ = - 2x - 3 \\ = - 1(2x + 3)[/tex]
HI,HOPE THAT IS HELPFUL.
find the volume of the given solid. bounded by the planes z = x, y = x, x + y = 5 and z = 0
The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.
what is volume ?The capacity of an object is expressed in terms of volume. The quantity of space a three-dimensional item takes up can also be referred to as volume. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.
Given
The bounds for z are 0 ≤ z ≤ x.
The bounds in the xy-plane are x ≤ y ≤ 5 - x and x in [0, 5/2]
So, V = ∫∫ (x - 0) dA
= ∫(x = 0 to 5/2) ∫(y = x to 5 - x) x dy dx
= ∫(x = 0 to 5/2) x (5 - 2x) dx
= ∫(x = 0 to 5/2) (5x - 2x^2) dx
= (5x^2/2 - 2x^3/3) {for x = 0 to 5/2}
= 125/24.
The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.
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Combine like terms to simplify this expression:
8 + 7y + 2y + 4
Answer: The resulting expression is 8+9y+4, which simplifies to 12+9y.
Step-by-step explanation: To combine like terms, we add the coefficients of the terms that are the same. In this expression, the like terms are 2y and 7y. Their coefficients are 2 and 7, respectively, so when we add them we get 2+7=9. The resulting expression is 8+9y+4, which simplifies to 12+9y.
Factor Completely 4q^6+8q^3
Answer:
4[tex]q^{3}[/tex]( q³ + 2)
Step-by-step explanation:
4[tex]q^{6}[/tex] + 8q³ ← factor out 4q³ from each term
= 4q³ (q³ + 2)
Answer:
4q^3(q^3 + 2)
Step-by-step explanation:
The GCF of the exponents is 3, and the GCF of the bases is 4q. So divide both numbers by 4q ^ 3 and get
4q ^ 6 / 4q ^ 3 = q ^ 3
8q ^ 3 / 4q ^ 3 = 2
so you get
4q^3 (q ^ 3 + 2)
What is another word for undecidable?
Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.
Clarify algorithm.A calculation or problem-solving procedure is known as an computation or algorithm. Algorithms serve as a thorough set of instructions that direct hardware- or software-based routines through a sequence of planned actions step by step. In all areas of IT, algorithms are commonly employed.
Here,
If it is impossible to develop an algorithm that reliably returns a true or false result for each input value, the problem is said to be undecidable.
The category of inherently unknowable questions, a subtype of insoluble problems, only includes questions that ought to receive a yes-or-no response .
Thus ,incomputable. is another word for undecidable.
Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.
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The width of a rectangle is the length minus 2 units. The area of the rectangle is 8 square units. What is the length, in units, of the rectangle?
The length of the rectangle is 4 units.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Let n be the length of the rectangle.
The width of a rectangle is the length minus 2 units.
The width = n - 2
The area of the rectangle is 8 square units.
The area of the rectangle = length x width
8 = n (n-2)
n²-2n - 8 = 0
n²-4n+2n - 8 = 0
n(n-4)+2(n-4) = 0
(n+2)(n-4) = 0
n = 4 and -2.
So the length is 4 units.
Therefore, 4 units are the length of the rectangle.
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11c+ 8) (-9c - 1)
Help plssss
Answer:
Step-by-step explanation: (11c + 8) (-9c - 1)
Then expand
which would be 11c ( -9c - 1) + 8 ( -9c - 1)
-99c^2 -11c - 72c - 8
It becomes -99c^2 - 83c -8
I hope this was helpful
A space ship travels at 57 miles per hour and traveled for 521 hours.
Select the answer that represents how many miles the space ship traveled.
Answer:29,697
Step-by-step explanation: multiply 57x521 and you get 29,697
somebody help please
Answer:
Step-by-step explanation:
because HA⊥HR, HR⊥DR, so HA ║ DR, then we know ∠DHR=∠ARH,
we konw, AR=HD, They have a common segment HR, as well as the same angle，so HRA≅RHD
Out of 30 students surveyed, 17 have a dog. based on these results, predict how many of the 300 students in the school have a dog?
How can you tell if you have a perfect square trinomial or the DIFFERENCE OF SQUARES?
The value of a perfect square is either a positive number or zero. They cannot be neutral.
what is perfect square ?Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
The value of a perfect square is either a positive number or zero. They cannot be neutral.
Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.
One squared term will be added to the difference of squares, and another squared term will be subtracted.
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Write the equation of the line that passes through (7, 6) and (-- 1, 2) in slope-intercept form.
○ y = − 1/x + 2/1/2
O y = 2x + 4
○ y = 1/x + 1/2/2
○ y = 1/x + 1/2
The equation of the line that passes through (7, 6) and (-1, 2) in slope-intercept form is, [tex]y=\frac{1}{2}x + \frac{5}{2}[/tex].
What is slope intercept form of the line?
Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. y = mx + b is the equation in slope intercept form.
Given:
The line passes through the points (7, 6) and (- 1, 2).
We have to find the equation of the line that passes through (7, 6) and (-- 1, 2) in slope-intercept form.
First to find the slope of the line using the formula,
Slope = m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Here, [tex](x_1, y_1)= (7, 6), (x_2,y_2)=(-1, 2)[/tex]
Plug the values in the above formula.
[tex]m = \frac{2-6}{-1-7} = \frac{-4}{-8}=\frac{1}{2}[/tex]
Now consider the point slope form of the line,
[tex]y-y_1=m(x-x_1)\\y-6=\frac{1}{2}(x-7) \\y-6=\frac{1}{2}x-\frac{7}{2}\\ y=\frac{1}{2}x -\frac{7}{2}+6 \\y=\frac{1}{2}x+\frac{5}{2}[/tex]
Hence, the equation of the line that passes through (7, 6) and (-1, 2) in slope-intercept form is, [tex]y=\frac{1}{2}x + \frac{5}{2}[/tex].
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Charlotte has a loyalty card good for a 14% discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is c, which expression represents the cost after the discount?
The expression that represents the cost after the discount is
y(c) = (7/50)c
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Charlotte has a loyalty card good for a 14% discount at her local grocery store.
Let the total cost, before tax and discount, of all the items she wants to buy is {c}. Now, let the expression that represents the cost after the discount is given by y(c). We can write -
y(c) = 14% of c
y(c) = (14/100) x c
y(c) = (7/50)c
Therefore, the expression that represents the cost after the discount is
y(c) = (7/50)c.
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