Algebra is a universal language used in communicating ideas, and it therefore improves how people can teach or learn ideas from others
What is algebra?Algebra is the mathematics representation of ideas, problems, situation or solutions using mathematical expressions.
Algebra makes use of numbers, variables, and operators to give value or convey information.
Algebra is therefore an indispensable communication tool that is used in all walks of life to improve understanding of disseminated information, from the original source, to the intended destination and beyond, without, losslessly losing any substance, value or understanding.
With algebra, a doctor speaking a foreign language in a remote location can perform complex and emergency operational procedures based on guidance from another doctor communicating through the internet to his exact location and a local robot that is able translate verbal information into action based on algebraic relationships.
Algebra allows the foreign doctor to obtain or look for specific health metrics and indicators.
It allows the foreign doctor to understand the cost implications as well as to avoid dangerous situations and risk factors which are best specified by algebraic relation, that is understandable to all languages, given that it is based on numbers and variables.
Algebra therefore is one of the main means through which one person can teach another or communicate ideas.
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each year a certain amount of money is deposited in an account which pays an annual interest rate of r at the end of each year the balance in the account is multiplied by a growth factor of x = 1 + r. 1,000 is deposited at the start of the first year, an additional 300 is deposited at the start of the next year and 500 at the start of the following year
1. write an expression for the value of the account at the end of three years in terms of the growth factor x
2. determine to the nearest cent the amount in the account at the end of three years if the interest rate is 4 %
Check the picture below.
now if the interest rate is 4%, that's in percentage form, we need to use the decimal version of it, namely 4/100 = 0.04, and since we know that x = 1 + r, whilst r = 0.04, that means that x = 1 + 0.04, x = 1.04.
[tex]1000x^3~~ + ~~300x^2~~ + ~~500x\implies 1000(1.04)^3~~ + ~~300(1.04)^2~ + ~500(1.04) \\\\\\ 1124.864~~ + ~~324.48~~ + ~~520 {\LARGE \begin{array}{llll} ~~ \approx ~~ 1969.33 \end{array}}[/tex]
Find the degree measure of each angle in the triangle
The degree measure for angle B is 28° and angle D is 62°.
We are given that:
∠ C = 90°
∠ B = ( 2 x + 10 )°
∠ D = ( 5 x + 17 )°
Now, using the angle sum property of a triangle, we get that:
∠B + ∠ C + ∠ D = 180°
Substituting the values:
2 x + 10 + 90 + 5 x + 17 = 180
7 x + 117 = 180
7 x = 63
x = 63 / 7
x = 9
∠ B = ( 2 x + 10 )
∠ B = 2(9) + 10
∠ B = 18 + 10
∠ B = 28°
∠ D = ( 5 x + 17 )
∠ D = 5 (9) + 17
∠ D = 45 + 17
∠ D = 62°
Therefore, the degree measure for angle B is 28° and angle D is 62°.
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I need this answered in the next 5 maybe 10 minutes
Six times a number is 36
x^6= 36
6x = 36
6^x= 36
6 + x = 36
Answer:
6x = 36 is the correct expression.
Answer:
6x=36 so we divide both side by 6, then we will gate the x =6
Step-by-step explanation:
6x= 36 so the x value become 69. Reason abstractly. At the green grocer, Liam
bought three pounds of apples for $3.87, bananas
for $3, grapes for $2.23, and pears for $2.37. He has
$10. Will that be enough to pay for the fruit? Why
or why not?
Answer:
It will not be enough money to pay for the fruit
Step-by-step explanation:
Reason:
3+3.87+2.23+2.37= $11.47
$11.47-10= $1.47
hes missing $1.47
Clark went to Mariano’s with $14. He bought 6 Milky Ways and left the store with $5. Write and solve an equation to find the price of each Milky Way.
Answer:
6x - 14= 5
Step by Step
Let the cost of one milky way be 'x'
Given -
Initial Amount of money= $14
Final Amount of money= $5
Number of Milky Way= 6
Cost of 6 Milky Ways = 6x
Answer-
6x -14= 5
6x = 5+14
6x = 19
x =$3.1
Which point is located at -3 1/2
Explanation:
The value -3 1/2, aka -3 & 1/2, is between -3 and -4. It's at the exact midpoint of those values.
Think of it like how 3 & 1/2 is between 3 and 4.
Or you can rewrite it in decimal form: -3 & 1/2 = -3.5
a washer and a dryer cost combined. the cost of the washer is three times the cost of the dryer. what is the cost of the dryer?
$250 is the cost of the dryer.
What do we mean by cost?
The amount of money spent by a company on the creation or production of goods or services is referred to as the cost.It does not include the profit margin. From the standpoint of a seller, the cost is the amount of money spent to produce a good or product.To find the cost of the dryer:
The dryer is priced at x dollars.The washer costs 3 times as much.Then,
3x + x = 10004x = 1000x = 250Therefore, $250 is the cost of the dryer.
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The correct question is given below;
A washer and a dryer cost $1000 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?
write the slope-intercept form of the equations of the line described
1. through (1,3), perpendicular to y=x-4
2. through (3,1), parallel to y=-x-4
1. The equation of the perpendicular line is: y = -x + 4
2. The equation of the parallel line is: y = -x + 4
What are the Equations of Parallel and Perpendicular Lines?The equations of two lines that are parallel to each other will have the slope (m), while the equations of two lines that are perpendicular to each other will have slope values that are negative reciprocals of each other.
The slope-intercept form for the equation of a line is, y = mx + b, where b is the y-intercept and m is the slope of the line.
1. The slope (m) of y = x - 4 is 1. The line that is perpendicular to y = x - 4 would have a slope (m) of -1.
Substitute (a, b) = (1, 3) and m = -1 into y - b = m(x - a):
y - 3 = -1(x - 1)
Rewrite in slope-intercept form:
y - 3 = -x + 1
y = -x + 1 + 3
y = -x + 4
2. The slope (m) of y = -x - 4 is -1. The line that is parallel to y = -x - 4 would have a slope (m) of -1.
Substitute (a, b) = (3, 1) and m = -1 into y - b = m(x - a):
y - 1 = -1(x - 3)
Rewrite in slope-intercept form:
y - 1 = -x + 3
y = -x + 3 + 1
y = -x + 4
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The cost of a new robotic toy after an 8% markup can be represented by the expression
r
+
0
.
08
r
. Simplify the expression.
The simplified equation of the given statement = 1.08r.
Addition variable in math's:Even though they also have different operations, adding and subtracting variables follow the same rule: while adding or subtracting terms with the same variables, either add or subtract the coefficients and leave the result with the variable. As an example, consider an addition.
According to the given data:The original cost of the new robotic toy is given as r.
The cost of the new robotic toy after a 8% markup is: c + 0.08r to show that 8% of r was being added to r to increase the price.
Because both numbers in the equation are related to the same variable, they can be added. When r is used alone, it is considered to be 1r.
= r + 0.08r
= 1r + 0.08r
= 1.08r
The simplified equation of the given statement = 1.08r
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I understand that the question you are looking for is:
The cost of a new robotic toy after an 8% markup can be represented by the expression r+0.08r. Simplify the expression.
Write the slope-intercept equation of a line that passes through the points (-2, 5) and (6, -4)
The slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
According to the question.
A line passes through the two points (-2, 5) and (6, -4).
As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.
So, the slope of the line = -4 -5/(6 + 2) = -9/8
And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by
y = (-9/8)x + b
Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.
⇒ 5 = (-9/8)(-2) + b
⇒ 5 = 9/4 + b
⇒ b = 5 - 9/4
⇒ b = (20 - 9)/4
⇒ b = 11/4
Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is y = (-9/8)x + 11/4.
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What is median? the sum of values in a set of data multiplied by the number of values in the set the sum of values in a set of data divided by the number of values in the set the middle value in a data set when the values are put in order the value that occurs most often in a data set
The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) -- or, if there are an even number of data, the median is the average of the middle two numbers.
For example:
Find the median of the set {2,5,8,11,16,21,30} .
There are 7 numbers in the set, and they are arranged in ascending order. The middle number (the 4 th one in the list) is 11. So, the median is 11.
The center of a data set is also a way of describing the location. The two most widely used measures of the center of the data are the mean (average) and the median. To calculate the mean weight of 50 people, add the 50 weights together and divide by 50. To find the median weight of the 50 people, order the data, and find the number that splits the data into two equal parts. The median is generally a better measure of the center when there are extreme values or outliers because it is not affected by the precise numerical values of the outliers.
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Please help i will give brainly
!HURRY PLSS!! 20 points!!
A transformation maps a preimage triangle to the image triangle shown in the coordinate plane below.
If the preimage triangle is reflected over the y-axis to get the image triangle, what are the coordinates of the vertices of
the preimage triangle?
The coordinates of the vertices of the preimage triangle = (4, 1), (6,1) and (6, -6).
Given the figure of the image triangle.
The coordinates of the image triangle are (-4, 1) , (-6,1) and (-6, -6).
We are asked to find the coordinates of the preimage triangle.
The preimage triangle was reflected over the y-axis .
The image triangle is lying on the 2nd and 3rd quadrants.
So the preimage triangle will lie on the 1st and 4th quadrants.
Then the coordinate (-4,1) will be the image of (4,1).
(-6, 1) will be the image of (6,1) and (-6,-6) will be the image of (6,-6).
Hence the coordinates of the vertices of the preimage triangle = (4, 1), (6,1) and (6, -6).
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3. Evaluate the expression when a = -2 and b =5
a²b – 2a − b
The seaside train runs along a 156 mile route that takes 3 hours to complete. if it always runs at the same speed, write an equation to represent the distance and time.
The equation to represent the relationship between Distance and Time will be 52y = x, where Speed remains constant
In the given question, it is said that the train runs along a distance of 156 miles, which takes 3 hours to complete.
The equation that represents the relationship between Speed, Distance, and Time is as follows :
=> Speed = Distance/Time
It is also stated that the train runs at the same speed so the Speed will be constant while deriving the relationship between Distance and Time.
First, we have to find the speed of the train with the given Distance & Time by the formula => S = D/T, where Speed = S, Distance = 156 miles, and Time = 3 Hours
=> S = 156/3 => S = 52 miles/hour
As we got our constant speed for the train, We can now find out the Distance Time relation of the train. By taking Distance = x, Time = y, Speed = 52 miles/hour
=> 52 = x/y => 52y = x
Hence, we get the relationship between Distance and Time where Speed is constant at 52 miles/hour
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use these two graphs to answers questions for 4 and 5
why do these graphs represent functions? explain.
The 2 graphs are of parabolas .
A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola. Also, an important point to note is that the fixed point does not lie on the fixed line. A locus of any point which is equidistant from a given point (focus) and a given line (directrix) is called a parabola. Parabola is an important curve of the conic sections of the coordinate geometry.
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Julie planted t fewer trees than Logan. Logan planted 6 trees. Write an expression that shows how many trees Julie planted.
Answer: 6 - t
Step-by-step explanation:
fewer trees than Logan is another word for subtraction.
Since Julie planted t fewer, and Logan planted 6 that means
6 - t
The expression that shows how many trees Julie planted would be; 6 - t
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that Julie planted t fewer trees than Logan. Logan planted 6 trees.
Here, fewer trees than Logan means subtraction.
Since Julie planted t fewer, and Logan planted 6 that means;
the difference between them; 6 - t
Therefore, the expression that shows how many trees Julie planted would be; 6 - t
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Nabhitha buys cookies and onions at the store.
She pays a total of $60.39.
She pays a total of $4.79 for the cookies.
• She buys 8 bags of onions that each cost the same amount.
.
.
Write and solve an equation which can be used to determine x, how much each bag
of onions costs.
The equation is 8x + 4.79= 60.39 and the value is x is $6.95
How to solve the equation ?Nabhitha pays a total of $60.39 for the cookies and onions
She pays a total of $4.79 for the cookies
She buys 8 bags of onions that each costs the same amount of money
The equation used to find the value of x is written as
8x + 4.79= 60.39
Collect the like terms
8x= 60.39 - 4.79
8x= 55.6
Divide both sides by the coefficient of x which is 8
8x/8 = 55.6/8
x= 6.95
Hence the price of each bag of onions is $6.95
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What is a number that is at most 30
Answer: 30
Because its thirty
Una ciclopista para andar en bicicleta tiene 17/6 de km ¿cuantos km se recorren al dar dos vueltas a la pista
The number of kilometers when the person goes twice is 17km.
How to compute the value?From the information, it should be noted that the bicycle lane to ride a bicycle is 17/6 km.
Therefore, the number of kilometers when the person goes twice will be:
= 17/6 × 2
= 17 km
Therefore, the number of kilometers when the person goes twice is 17km.
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Look at the table showing different prices for cans of soup.
Prices for Soup
Price A
Price B
Price C
$3.87 for 3
$2.38 for 2
$8.75 for 7
The prices in order from greatest to least unit rate is Price A>Price C>Price B.
Given a table that showing different prices for cans of soup as shown in attached image.
Here, we will calculate the price of 1 quantity of each type of soup.
The Price of 3 quantities of soup price A=$3.87
Now, we will find the price of soup A for the 1 quantity.
The Price of 1 quantity of soup price A=$3.87/3=$1.29
The Price of 2 quantities of soup price B=$2.38
Now, we will find the price of soup B for the 1 quantity.
The Price of 1 quantity of soup price B=$2.38/2=$1.19
The Price of 7 quantities of soup price C=$8.75
Now, we will find the price of soup C for the 1 quantity.
The Price of 1 quantity of soup price C=$8.75/7=$1.25
Hence, the prices in order, from greatest to least unit rate from the given table which is shown in attached image is Price A>Price C>Price B or $1.29>$1.25>$1.19.
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The angle lies in which quadrant?
tan<0 and csc<0 are in Quadrant II
use vectors to decide whether the triangle with vertices p(3, −4, −2), q(4, −1, −4), and r(8, −3, −5) is right-angled. yes, it is right-angled. no, it is not right-angled.
Yes. It is a right-angled triangle.
What is a dot-product?The dot product, also known as the scalar product, is an algebraic operation that takes two sequences of numbers of equal length (often coordinate vectors) and outputs a single number. The dot product of two vectors' Cartesian coordinates is frequently used in Euclidean geometry. Although other inner products can be defined in Euclidean space, it is frequently referred to as the inner product (or, less frequently, projection product) of Euclidean space (see Inner product space for more).
The sum of the products of the matching entries of the two number sequences is the dot product, according to algebra. B, it is the result of adding the cosine of the angle between the two vectors and the Euclidean magnitudes of the two vectors.
The vectors that make up the triangle must first be located. The vertices are subtracted to achieve this.
QP=(2,0,-4)-(1,-3,-2)=(1,3,-2)
PR=(1,-3,-2)-(6,-2,-5)=(-5,-1,3)
RQ=(6,-2,-5)-(2,0,-4)=(4,-2,-1)
QP.PR = (1, 3, -2).(-5, -1, 3) = -5-3-6= -14
PR.RQ = (-5, -1, 3).(4, -2, -1) = -20+2-3 = -21
RQ.QP = (4, -2, -1).(1, 3, -2) = 4-6+2 = 0
Calculate the dot products to see if these vectors are perpendicular now.
They are perpendicular if the dot product of two vectors equals zero. As you can see, RQ.QP is zero in your triangle, which supports this. Consequently, a right-angled triangle results.
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Please answer fast
Thank you!
Answer:
see explanation
Step-by-step explanation:
the perimeter (P) is the sum of the 4 sides
(a)
P = a + b + c + d
= x + 7 + 2x + 2 + 8x + x + 10 ← collect like terms
= 12x + 19
(b)
If x = 4 , then
P = 12x + 19 = 12(4) + 19 = 48 + 19 = 67
(c)
If x = 2 , then
P = 12x + 19 = 12(2) + 19 = 24 + 19 = 43
(d)
P = a + b + c + d
= x² + 4x + 8 + 2x² + x ← collect like terms
= 3x² + 5x + 8
john is playing a game with a standard deck of playing cards. he wants to draw a jack on the first try. which of the following statements is true?
John is playing a game with a standard deck of playing cards - this statement is true.
What is the purpose of playing cards?playing a card game, set of cards that are numbered or outlined (or both) and are utilized for messing around, for schooling, for divination, and for conjuring. Generally, Western playing a card game are made of rectangular layers of paper or slight cardboard stuck together to frame a level, semirigid material. Some have proposed that the playing a card game previously worked as "play cash" and addressed the stakes utilized for other betting games, and later turned out to be essential for the actual games. Others have proposed associations between playing a card game and chess or dice games, yet this is again theoretical. Different games, for example, a 25-card variation of Euchre which involves the Joker as the most elevated trump, make it one of the main in the game. Frequently, the Joker is a special case, and subsequently permitted to address other existing cards.
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The expression 53(1−x) gives the discounted price of a pair of shoes, where x is the percent of the discount written in decimal form. what does 1−x represent in the expression?
So, 1−x represents the percent of original price being paid as we know that if percentage is given in decimal form, then to get the percent of original.
What is decimal form?The decimal number framework has 10 digits which range from 0 to 9 with the base 10 and transformation from paired to decimal can assist us with better figuring out the compound parallel numbers. The decimal numeral framework is the standard framework for meaning number and non-whole number numbers. It is the augmentation to non-whole number quantities of the Hindu-Arabic numeral framework. The approach to meaning numbers in the decimal framework is frequently alluded to as decimal documentation. Numerous numeral frameworks of antiquated civilizations utilize ten and its powers for addressing numbers, perhaps on the grounds that there are ten fingers on all fours began counting by utilizing their fingers. Models are first and foremost the Egyptian numerals, then the Brahmi numerals, Greek numerals, Hebrew numerals, Roman numerals, and Chinese numerals.
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plot (-4,2), (-1,0), and (-4,-6) in the xy-plane. tell in which quadrant or on what coordinate axis each point lies.
(-4, 2)
This point lies on the second quadrant because this point has negative x-axis value and positive y-axis value
(-1, 0)
This point also lies on the x-axis because the y-axis value is zero.
(-4, -6)
This point also lies on the third quadrant because this point has negative x-axis and y-axis values
Define Quadrant?On the cartesian plane, four regions are created at the point where the X and Y axes intersect at 90 degrees. These regions are known as quadrants. Each of the four quadrants in each plane is therefore bound by one-half of the axes. Depending on where they are in relation to the axes, each quadrant is identified by a Roman numeral and given the names Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
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this month, a clothing store needs to finish with at least $4300 in profits Iif their total expenses will need $2900, what are the possible amounts must they make in revenue?
Answer:They need 19,000 more
Step-by-step explanation:
The function f is defined as follows
f(x)=-2x^2-2
if the graph of f is translated vertically upward by 5 units, it becomes the graph of function h
FIND THE EXPRESSION FOR H(X)
h(x)=?
Answer:
h(x)=-2x²+3
Step-by-step explanation:
Add 5 to -2x²-2.
-2x²-2+5=-2x²+3
h(x)=-2x²+3
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Please mark as brainliest if correct!
What is answer to this?
Answer:
c is the answer to it
Step-by-step explanation:
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