Nick's taxable income will be $(x - 390).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Nick is paid every other week. He has 390$ taken out of each paycheck for federal taxes.
The U.S. federal income tax is a tax levied by the Internal Revenue Service (IRS) on the annual earnings of individuals, corporations, trusts, and other legal entities. Federal income taxes apply to all forms of earnings that make up a taxpayer's taxable income, including wages, salaries, commissions, bonuses, tips, investment income, and certain types of unearned income.Assume that his income without tax is ${x}. Then, his taxable income will be -
taxable income = original income - federal tax
taxable income = $(x - 390)
Therefore, Nick's taxable income will be $(x - 390).
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In geography, latitude gives the north-south position of a point on Earth's surface. latitude is an angle, ranging from 0 degrees at the equator to 90 degrees N at the North Pole and 90 degrees S at the South Pole. The overland distance between points on Earth's surface is an arc, with the central angle measured from Earth's center. The formula of the length, L, of an arc with central angle x degrees on a circle with radius r is : L= 2\Pie times x/360 Suppose that two cities have the same longitude, which gives the east-west position of a point on Earth's surface. One has latitude 19 degrees N, and the other has a latitude 26 degrees S. Assume Earth is a sphere with a radius of 6,380 km. Find the distance between the two cities to the nearest kilometer.
The distance between the two cities located at latitude 19 degrees N, and the other has a latitude 26 degrees S is 5011 km
How to find the distance between the two citiesThe distance between the two cities is calculated using the formula
= x/360 * 2 * pi * r
where
r = radius
x = the angle subtended by the distance
From the question we have that
x = 19 degrees N + 26 degrees S
x = 45 degrees
radius of the earth = 6380 km
distance between the points = x/360 * 2 * pi * r
distance between the points = 45/360 * 2 * pi * 6380
distance between the points = 0.125 * 12760 * pi
distance between the points = 5010.84 km
distance between the points = 5011 km
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How do you find a line segment in Algebra 1?
A line segment has two specific endpoints in a line. The length of the line segment is set, that is the distance between two fixed points.
The length here can be measured by metric units such as centimeters (cm), and millimeters (mm), or by conventional units like feet or inches.
A closed line segment contains both endpoints, but an open line segment is exclusive of the two endpoints. A line segment that has just one endpoint is called a half-open line segment.
A line segment has two endpoints. Now if we know the coordinates of the endpoints, then we calculate the length of the line segment by distance formula.
[tex]D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]
Let a line segment has coordinates (2, –3) and (–1, –2). What is the length of a line segment?
Therefore, by distance formula,
[tex]D = \sqrt{(2 - (-1))^{2} + (-3 -(-2)^{2} }[/tex]
[tex]D = \sqrt{(2 + 1))^{2} + (-3 +2)^{2} }[/tex]
[tex]D = \sqrt{(3)^{2} + (-1)^{2} }[/tex]
[tex]D = \sqrt{10}[/tex] = 3.16
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You work at a bakery. One of your duties is to price different size pieces of cake. You decide to price slice A at $0.80. Figure out the prices of the other slices based on Slice A
Answer:
Step-by-step explanation:
Complete the table for y=1/2x+4 and graph the resulting line
The graph of the resulting line of y = 1/2 x + 4 will be a line passing through P(0, 4), Q (-8, 0) and R (2, 5).
What is Graph?A graph is a pictorial representation of a figure formed by connecting set of points.
We have to find the points through which the line y = 1/2 x + 4 passes through to draw the graph of the line.
Let x = 0 ⇒ y = 4
A point P is found as P (0, 4), which is the y intercept where the line touches with the Y axis.
Let y = 0, then 1/2 x = -4 or x = -8
A point Q is found as Q (-8, 0) which is the x intercept where the line touches with the X axis.
Let x = 2, then y = 5
A point R is found as R (2, 5).
So graph of y = 1/2 x + 4 will be a line passing through P(0, 4), Q (-8, 0) and R (2, 5).
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find the vertices,foci,eccentricity,and asymptotes of each hyperbola,and sketch the graph a. 9x²- 16y² =144
Answer:
Foci: (±5, 0)
Vertex: ( ±4 , 0)
Eccentricity: e = 5/4
Step-by-step explanation:
Hyperbola:Write the equation of hyperbola in the form,
[tex]\boxed{\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1}[/tex]
9x² - 16y² = 144
Divide the entire equation by 144,
[tex]\sf \dfrac{9x^2}{144}-\dfrac{16y^2}{144}=\dfrac{144}{144}\\\\\\ \dfrac{x^2}{16}-\dfrac{y^2}{9}=1\\\\\\\dfrac{x^2}{4^2}-\dfrac{y^2}{3^2}=1[/tex]
a = 4 and b =3
Eccentricity: e
[tex]\boxed{e=\sqrt{1+\dfrac{b^2}{a^2}}}[/tex]
[tex]\sf = \sqrt{1+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{16}{16}+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{25}{16}}=\sqrt{\dfrac{5*5}{4*4}}\\\\\\=\dfrac{5}{4}[/tex]
Foci:
(ae, 0) & (-ae , 0)
[tex]\sf \left(4*\dfrac{5}{4},0 \right) \ ; \ \left( -4*\dfrac{5}{4},0 \right)\\\\\\(5, 0) \ ; \ (-5,0)[/tex]
Vertex of hyperbola:
The vertex of the hyperbola is a point where the hyperbola cuts the axis. (-a , 0) ; (a , 0)
Vertex : (-4 , 0) ; (4 , 0)
The solution for this question is as follows:
Vertices ≈ (±4 , 0)
Foci ≈ (±5 , 0)
Eccentricity: e = 5/4
Asymptotes: y= ±(3/4)x
Hyperbola:
The location of all the points on a plane where the distance between them and two fixed points in the plane is always equal to zero is called a hyperbola.
Step by step solution:
Given: [tex]9x^{2} -16y^{2} =144[/tex]
The given equation of hyperbola can be written as:
⇒[tex]\frac{x^{2} }{16} -\frac{y^{2} }{9} =1[/tex]
On comparing with standard equation of hyperbola; [tex]\frac{x^{2} }{a} -\frac{y^{2} }{b} =1[/tex]
We get; a=4 and b=3
The eccentricity of hyperbola is given by:
9=16(e^2 - 1)
So; e^2 = (9/16) + 1
e^2 = 25/16
e = 5/4
The vertices of hyperbola are given by (±a , 0) ≈ (±4 , 0)
The foci of hyperbola are given by (±ae , 0) ≈ (±5 , 0)
The asymptotes of hyperbola are given by y= ± (b/a)x
y= ±(3/4)x
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Plis helpppp I will give you 10 point’s
A gasoline storage tank is filled by a pipeline from a refinery. at the same time, gasoline flows from the tank into trucks that will make deliveries to gasoline stations. can someone help answer all parts of the question?
The rate of change of the amount of gasoline in a storage tank at t=3 hours is -0.75 thousand gallons per hour, and the amount of gasoline in the storage tank is increasing at an increasing rate between t=5 and t=10.
(a) To estimate the rate of change of the amount of gasoline in the storage tank at time t=3 hours, we can use the formula for the average rate of change over an interval: (G(b) - G(a)) / (b - a).
We can choose two points on the table that are closest to t=3 hours, such as t=2 and t=4. Using these points, we have:
G(2) = 22
G(4) = 20.5
Substituting these values into the formula, we get:
(G(4) - G(2)) / (4 - 2) = (20.5 - 22) / (4 - 2) = -1.5 / 2 = -0.75
The units of measure for this rate of change would be thousands of gallons per hour.
(b) Since G′′(t)>0 for 5≤t<10, this means that the second derivative of G(t) is positive for all values of t within this interval. The second derivative represents the rate of change of the rate of change, or the acceleration. A positive second derivative indicates that the rate of change is increasing, or that the function is accelerating. This means that the amount of gasoline in the storage tank is increasing at an increasing rate between t=5 and t=10.
We can also conclude that G′(t)>0 for 5≤t<10 since the second derivative represents the rate of change of the first derivative, which is positive. This means that the first derivative, or the rate of change of the function, is also positive for this interval. This confirms that the amount of gasoline in the storage tank is increasing between t=5 and t=10.
Complete Question:
'A gasoline storage tank is filled by a pipeline from a refinery. At the same time, gasoline flows from the tank into trucks that will make deliveries to gasoline stations. The amount of gasoline in the storage tank at time t is given by the twice-differentiable function G, where t is measured in hours and 0≤t≤10. Values of G(t), in thousands of gallons, at selected times t are given in the table above. It is known that G′′(t)>0 for 5≤t<10.
(a) Use the data in the table to estimate the rate of change of the amount of gasoline in the storage tank at time t=3 hours. Show the computations that lead to your answer. Indicate units of measure.
(b) For 0 t (hours) 0 5 8 10 G (0 (thousands of gallons 22 18.5 19.5 22 24'
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What is a credit card trap?
The payments each month cover interest and the remaining principal.
The payments each month do not cover all interest and no principal.
The credit card issuer charges such a low interest rate, that it is impossible to
pay off the card balance.
The payments each month cover interest and some principal.
The payments each month do not cover all interest and no principal. The correct answer would be an option (B).
A credit card trap occurs when the minimum payments required each month do not cover all the interest charges and do not reduce the principal balance. This means that even if the cardholder makes the minimum payments on time, they will still be paying only the interest charges and not reducing the amount of debt. This can result in a cycle of high-interest debt that is difficult to escape from.
Option A is incorrect as it's describing a common way payments work on credit cards.
Option C is not a trap, as it's describing a credit card issuer with a low-interest rate.
Option D is also incorrect, as it's describing a common way payments work on credit cards.
Hence, the correct answer would be an option (B).
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Dilate the given triangle with a magnitude of 3. 3 6 31 -3 3 3 9 [29 [?] -9 [ ] enter
Dilating the given triangle with a magnitude of 3, the number corresponding to the question mark is 18.
Therefore the answer is 18.
Dilating a triangle means to scale it up or down by a certain factor, in this case, by a factor of 3. To dilate a triangle, you need to multiply the each elements of the matric by the dilation factor.
On multiplying a matrix by a scalar number, each element of the matrix is multiplied by that scalar number.
3 × [3 6 3 | -3 3 3] = [3×3 6×3 3×3 | -3×3 3×3 3×3]
=[ 9 18 9 | -9 9 9]
That is
[tex]3\left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right] = \left[\begin{array}{ccc}-3*3&6*3&3*3\\-3*3&3*3&3*3\end{array}\right][/tex]
[tex]= \left[\begin{array}{ccc}9&18&9\\-9&9&9\end{array}\right][/tex]
So the element corresponding to the question mark is 18.
--The question is incomplete, complete question is given below--
"Dilate the given triangle with a magnitude of 3.
[tex]\left[\begin{array}{ccc}3&6&3\\-3&3&3\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}9&?&-\\-9&-&-\end{array}\right][/tex]"
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Nova wants to measure the height of a tree. She asks her brother Caden to stand so that the
tip of his shadow coincides with the tip of the tree’s shadow. She stands at the tip of Caden’s
shadow. Caden, who is 1.2 meters tall, is 4.2 meters from Nova and 6.5 meters from the tree.
The tree is ___ meters high. Round your answer to the nearest tenth and write it as a decimal.
Using ratio, the length of the tree is 1.9m
What is RatioRatio is a comparison of two or more related quantities, expressed as a fraction or a proportion. Ratios are used to compare values and to look for relationships between them. For example, if you have five friends and two of them are girls, the ratio of girls to boys is 2:3 (2 out of 5).
We can set up two ratio as a proportion to find the length of the tree.
1.2 / x = 4.2 / 6.5
Cross multiply both sides and solve for x
x = (1.2 * 6.5) / 4.2
x = 1.85m ≅ 1.9m
The height of the tree is 1.9m
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Y=-8x
2x+4y=0
Algebra substitution
The solution to the system of equations is x = 0, y = 0.
What is substitution algebraic expression?
Substitution means replacing the variables in an algebraic expression with their numerical values. We can then work out the total value of the expression.
To use algebraic substitution to solve for x and y, we can substitute one equation into the other and solve for one of the variables.
Given that y = -8x, we can substitute this into the second equation, 2x + 4y = 0
So, 2x + 4(-8x) = 0
Simplifying this we get,
2x - 32x = 0
30x = 0
Dividing both sides by 30
x = 0
Now we have x = 0, we can substitute this value back into the equation y = -8x
So y = -8(0)
y = 0
Hence, the solution to the system of equations is x = 0, y = 0.
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If 40% of the population owns a bike, 10% of the population owns a skateboard, and 5% of the population owns both, what percent of the population owns either a skateboard or a bike or both
Answer:
45%
Step-by-step explanation:
5% owns both so you remove that 5% from both the 40% and 10% because it's already in the "both" category. For example if Sara has both, then it also means that Sara is among the 5% that has both but also in the 40% that owns a bike and the 10% that owns a skateboard. You need to remove Sara from those two categories (skateboard and bike) because she's already in the "both" category.
So when you remove it, it's not 40 and 10 percent but 35 and 5 percent.
The answer is 35+5+5 = 45%
Please solve this question.
Answer:
Step-by-step explanation:
p=12 q=4 r=10
expland and simplify (5x+2)(2x-3)
Answer:
10x^2 - 11x -6
Step-by-step explanation:
1/ First, distribute the brackets:
( multiply 5x to the other bracket, then 2 multiply it also to the other bracket)
After the distribution you'll get this:
10x^2 - 15x + 4x - 6
2/ finally, to simplify you'll have to combine the like terms:
( as you can see the only like terms we have are -15x and +4x)
combine them and you'll get:
10x^2 - 11x -6 ( this is the final answer)
A - tall building casts a shadow. The distance from the top of the building to the tip of the shadow is. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answer:
The shadow cast by the building is of the length 11.8 m.
Step-by-step explanation:
We consider the height of the building as the height of the triangle and the length of the shadow as the base of the triangle, then the distance from the top of the building to the tip of the shadow would be the hypotenuse of the triangle.
Using the Pythagorean theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse, which is 36m, a is the height of the building, which is 34m and b is the base of the triangle, which is the length of the shadow.
So by plugging the given numbers in:
b^2 = c^2 - a^2
b^2 = 36^2 - 34^2
b = √(36^2 - 34^2)
b ≈ 11.8m (if rounded to the nearest tenth)
So the length of the shadow in this scenario is approximately 11.8 m.
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Answering the Question
Chet is planning his vacation. The flight he selected was $229.99 but
he got 20% off because he booked it online through a new travel
website. What did he pay?
1. Explain why Katie's answer is
incorrect. Then, determine the
correct answer.
The amount to be paid by Chet if The flight he selected was $229.99, but he got 20% off because he booked it online through a new travel website, is $184.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance.
Given:
The flight he selected was $229.99 but he got 20% off because he booked it online through a new travel website,
Calculate the amount of discount as shown below,
Discount = 20% of 229.99
Discount = 20 / 100 × 229.99
Discount = 0.2 × 229.99
Discount = 45.998
Thus, the amount to be paid = 229.99 - discount
the amount to be paid = 229.99 - 45.99
the amount to be paid = 184
Thus, the amount to be paid is $184.
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Which inequality is true for x = 20?
x - 5 < 2x -35
2x < x + 22
x ➗ 4 > x - 12
x + 30 > 3x
2x< x+22 is the inequality equation which satisfy that x=20 the other inequality equation does not satisfy the condition.
Given that,
We have to find which inequality is true for x=20
The inequality equations are
a. x-5 < 2x-35
b. 2x < x+22
c. x/4 > x-12
d. x+30 >3x
We know that,
We have to substitute x=20 in the inequality equation to check which equation is true.
a. 20-5 < 2(20)-35
15 < 40-35
15< 5
NO, the inequality is not true
b. 2(20) < 20+22
40 < 42
Yes, the inequality is true
c. 20/4 > 20-12
5>8
NO, the inequality is not true
d. 20+30 > 3(20)
50 > 60
NO, the inequality is not true
Therefore, 2x< x+22 is the inequality equation which satisfy that x=20 the other inequality equation does not satisfy the condition.
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15. Apply Math Models When reading the directions
on the bag of pet food, Anton realizes there is a linear
relationship between the weight of the pet and the
amount of food the pet should be fed.
a. What is the slope of the line that represents the
relationship?
b. What is the y-intercept of the line that represents
the relationship?
c. What do the slope and the y-intercept represent?
1/8 is the slope of the line that represents the relationship and 1/4 the slope and the y-intercept represent
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given, Anton realizes there is a linear relationship between the weight of the pet and the amount of food the pet should be fed.
The slope the slope of the line that represents the relationship is 1/8 cups.
the y-intercept of the line that represents the relationship is 1/4.
The slope is the value that will be multiplied by the weight of the cat so as to know the amount of food that will be given to the cat.
The y intercept represent the fixed food that should be given to the cat after it has been using.
Hence, 1/8 is the slope of the line that represents the relationship and 1/4 the slope and the y-intercept represent
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What is the formula for area and perimeter of a hexagon my tutorial world?
The formula for Area of Hexagon is written as : [tex]\frac{3\sqrt{3} a^{2} }{2}[/tex]
The formula for Perimeter of Hexagon is written as : [tex]6a[/tex] .
A Regular Hexagon is defined as a two dimensional shape which has 6 sides, 6 angles and 9 diagonals, and sum of its interior angles is 720°.
When one side length of the regular hexagon is given as "a" units ,
A regular hexagon comprises of six equilateral triangles, formula for finding area of a hexagon is derived from formula of area of equilateral triangle .
So, the Area can be calculated by the formula : [tex]\frac{3\sqrt{3} a^{2} }{2}[/tex] square units ;
and Perimeter of hexagon be calculated by the formula : [tex]6a[/tex] units .
The given question is incomplete , the complete question is
What is the formula for area and perimeter of a hexagon ?
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Shirley buys 5 bottles of soda. She has a coupon for $0.55 off the regular price of each bottle. After using the coupons. The total cost is 5.20. what is the regular price of the soda?
Answer:
what is the regular price of the soda? 1.59$
Which expression has a value of -18?
A.(6^2+2)-18√81
B.6^2(2-8)√81
C.(6^2+2-8)√81
D.6^2 +2 (8√81)
Answer:
None
Step-by-step explanation:
Evaluate each answer option, following the order of operations (PEMDAS).
[tex]\begin{aligned}\textsf{A.} \quad (6^2+2)-18\sqrt{81}&=(36+2)-18\sqrt{81}\\&=(36+2)-18(9)\\&=38-18(9)\\&=38-162\\&=-124\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{B.} \quad 6^2(2-8)\sqrt{81}&=36(2-8)\sqrt{81}\\&=36(2-8)(9)\\&=36(-6)(9)\\&=(-216)(9)\\&=-1944\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{C.} \quad (6^2+2-8)\sqrt{81}&=(36+2-8)\sqrt{81}\\&=(36+2-8)(9)\\&=(38-8)(9)\\&=(30)(9)\\&=270\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{D.} \quad 6^2 +2(8\sqrt{81})&=36+2(8\sqrt{81})\\&=36+2(8\cdot 9)\\&=36+2(72)\\&=36+144\\&=180\end{aligned}[/tex]
Therefore, none of the answers has a value of -18.
1)In the following multiple regression equation, what is the value of x2 when x1 = 15.5 and ˆy is estimated to be -412?ˆy=78−20x1−10x2x2=2)Given the following multiple regression equation:ˆy=−184−7x1+47x2+20x3Determine the estimated value of y whenx1=12x2=1x3=−1ˆy=
The estimated value of y when x1=12, x2=1, and x3=-1 is -204. This is calculated by substituting the given values into the equation ˆy=−184−7x1+47x2+20x3.
ˆy=−184−7(12)+47(1)+20(-1)
ˆy=−184-84+47-20
ˆy=−204
In the multiple regression equation
ˆy=−184−7x1+47x2+20x3
the estimated value of y can be determined by substituting the given values of x1, x2, and x3 into the equation. For example, given
x1=12, x2=1, and x3=-1,
the estimated value of y can be calculated as follows: ˆy=−184−7(12)+47(1)+20(-1). This simplifies to
ˆy=−184-84+47-20, or ˆy=-204.
The equation takes the form of a linear equation, with each independent variable x1, x2, and x3 multiplied by a coefficient, and then added together to give the estimated value of y. In this example, the coefficient for x1 is -7, for x2 is 47, and for x3 is 20. This means that if x1 increases by 1 unit, then the estimated value of y will decrease by 7 units; if x2 increases by 1 unit, then the estimated value of y will increase by 47 units; and if x3 increases by 1 unit, then the estimated value of y will increase by 20 units. Using the multiple regression equation, therefore, the estimated value of y can be calculated when the values of the independent variables are known. In this example, given x1=12, x2=1, and x3=-1, the estimated value of y is -204.
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The complete question is
In the following multiple regression equation, what is the value of x2 when x1 = 15.5 and ˆy is estimated to be -412?ˆy=78−20x1−10x2x2=2)Given the following multiple regression equation:ˆy=−184−7x1+47x2+20x3Determine the estimated value of y whenx1=12x2=1x3=−1ˆy=−204
S varies directly as T. if S is 20 when T is four, then T is blank when S is 30
Can we draw a triangle with sides 3cm 3.5 cm and 6.5 cm?
No, we cannot draw a triangle with sides 3 cm, 3.5 cm, and 6.5 cm.
Let's understand the concept behind this:
Apply the triangle's length-of-sides property, which stipulates that the total of any two sides should be more than the value of the third side. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side.
We must determine whether the supplied side lengths constitute a triangle. We now understand that the triangle's third side should be greater than the sum of any two of its sides. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side. So, we'll try every combination and see if it meets the criteria.
Let’s assume AB = 3 cm, BC = 3.5 cm and AC = 6.5 cm.
AB + AC = 3 + 6.5 cm = 9.5 cm > 3.5 cm = BC.
AC + BC = 6.5 + 3.5 = 10 cm > 3 cm = AB.
AB + BC = 3 + 3.5 cm = 6.5 cm = AC.
However, in this case, the length of the third side is equal to the total lengths of the other two sides, which renders the triangle's condition incorrect.
Therefore, there does not exist any triangle with sides of 3 cm, 3.5 cm, and 6.5 cm.
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The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using this method:
Cell G: 1.87 x 10-2 centimeters
Cell H: 7.23 x 10-³ centimeters
What's the difference between the diameters of the two cells? Express your answer using scientific notation.
The difference between the diameters of the two cells G and H will be;
⇒ 70.43 × 10⁻² centimeters
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Two cells are measured using this method,
Cell G: 1.87 x 10⁻² centimeters
Cell H: 7.23 x 10⁻³ centimeters
Now,
Since, Two cells are measured as;
Cell G: 1.87 x 10⁻² centimeters
Cell H: 7.23 x 10⁻³ centimeters
Hence, The difference between the diameters of the two cells G and H is,
⇒ 7.23 x 10⁻³ - 1.87 x 10⁻²
⇒ 72.3 × 10⁻² - 1.87 × 10⁻²
⇒ (72.8 - 1.87) × 10⁻²
⇒ 70.43 × 10⁻² centimeters
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Solve the system by graphing
Y=-x-4
Y=3/5x+4
Answer:
x-y=4, 3x-5y=-4
Step-by-step explanation:
step (1)
write the equation in the form ax+by=c
step (2)
put the equations below each other
x-y=4....(1)
3x-5y=-4....(2)
Multiply (1) by (-5) then add (1) and (2)
-5x+5y=-20
3x-5y=-4
-2x=-24 then x=12 from (1) y=8
S.S.={(12,8)}
If possible, combine like terms to simplify the following expression.
Otherwise, choose "Simplified."
5r + 1 + 3j
Answer: Simplified
Step-by-step explanation: The question is already as simplified as it can get.
Please Helllppppp
When we multiply or divide integers, we must use the following rule
Two positives (+and+) or two negatives (-and-) make a __________.
Answer:
Step-by-step explanation:
positive
Funsters inc. , the largest toy company in canada, sells its most popular doll for $35. It has just learned that its leading competitor toysorama is mass producing an excellent copy and plans to flood the market with their $10 doll in 6 weeks. What should funsters do?.
Funsters inc. , the largest toy company in canada, sells its most popular doll for $35. It has just learned that its leading competitor toysorama is mass producing an excellent copy and plans to flood the market with their $10 doll in 6 weeks. Funsters should increase the supply of its doll now before the other doll hits the market.
The Benefits of Business Competition1. Addressing Customer Needs
Often business competition motivates brands and businesses to meet customer needs, vying to be more effective than their competitors. This encourages brands to develop an understanding of audience needs.
This competition resulted in a focus on meeting customer needs including higher quality products, increased service value, and increased customer satisfaction.
2. Analyze Strengths and Weaknesses
Business competition can drive an evaluation of strengths and weaknesses, as well as optimizing sales strategies based on these findings. This enables a business to maximize resources, make informed decisions about marketing and sales strategies, and tailor offerings according to their strengths.
3. Increasing Demand
Business competition is an effective way to increase demand for a product or service. As more companies invest in their marketing and advertising efforts, the consumer demand for their products and services may increase as brand awareness increases.
3. Encouraging Innovation
In order to gain an advantage in the market, business competition can drive to innovate strategies and improve their products or services in creative ways. This is an important contribution to continuously improving the quality of goods and services, advancing product and service technology, and adapting to changing consumer needs.
4. Show Excellence
A business often tracks and analyzes competitors' performance to gain insight into their business strategy. By studying competitors' tactics, a business will be able to demonstrate their superiority in the market. So that many businesses can develop strategies that will result in success.
5. Promoting Business
Continuous business development can be an important factor in long-term success. Business competition is often challenging to continue to increase brand awareness, promote, analyze success, and develop new methods to achieve even bigger goals.
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Please help me with the middle one. This is a mix of math and science.
the volume of rectangular shape is 8 cm³ and density is 4 gm/cm³
What is cube?
The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6-sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.
Given sides of the rectangular cube are 1 cm, 2c.m, and 4c.m
The volume will be the product of all three sides = 1*2*4 = 8 cube cm
The density will be mass/volume.
= 32gm/8 = 4 gm/cm³
Hence volume of the rectangular shape is 8 cm³ and density is 4 gm/cm³
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