Answer: No, the graph of y = x² + 2 is not a straight line. The graph is a parabola that opens upwards and has its vertex at (0, 2).
A straight line is defined by a linear equation, which is an equation that can be written in the form y = mx + b, where m and b are constants. In this equation, the coefficient of x (m) represents the slope of the line, and the constant term (b) represents the y-intercept. A straight line has a constant slope, which means that the rate of change of y with respect to x is constant.
In the case of y = x² + 2, the coefficient of x (x) is not a constant, but rather a variable, which means that the slope of the line changes as x changes. The graph of y = x² + 2 is a parabolic shape that opens upwards and has its vertex at (0, 2). The slope of the graph is not constant, but rather increases as x increases. This means that the graph does not represent a straight line, but rather a parabolic curve.
Step-by-step explanation:
50 3/5 ft subtract 48 1/3 =
The substraction of 50 3/5 ft and 48 1/3 can be expressed as34/15.
How can the substraction be determined?The concept that will be used here is substraction. One of the four operations used in mathematics, along with addition, multiplication, and division, is substraction. Removal of items from a collection is represented by the operation of subtraction. For instance, the adjacent image shows 5 2 peaches, which are 5 peaches with 2 peaches subtracted, for a total of 3 peaches.
50 3/5 ft - 48 1/3 =
this mixed numbers can be converted to fractions as
253/5 - 145/3
= 34/15
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Brigitte deposits $1000 in a savings account that earns 1.3% compound interest. Which function models the total amount of money Brigitte has over time, t ?
The formula for compound interest is:
A = P(1 + r/n)^nt
where:
A is the total amount of money after t years,
P is the initial principal or deposit amount (in this case $1000),
r is the annual interest rate as a decimal (in this case 1.3% or 0.013),
n is the number of times interest is compounded per year (in this case, let's assume it's compounded annually), and
t is the number of years.
So, the function modeling the total amount of money Brigitte has over time, t, would be:
A = $1000(1 + 0.013)^t
This function shows how the amount of money in the savings account will increase as time goes on due to compound interest.
Designer builds and sells small chairs and large chairs. The cost of material is $10 for each small chair and $15 for each large chair. The selling price is $22 for a small chair and $51 for a large chair. The designer spends $305 on material to make chairs. The designer makes eight more small chairs than large chairs. Write a system of equations that can be used to determine s, the number of small chairs and T, the numbers large chairs, the designer makes. How many small chairs did the designer make?
After solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.
What is meant by the system of equations?
A set of equations with a finite number of solutions is referred to as a system of equations. A system of equations in algebra consists of two or more equations and looks for common answers to the equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.
Given,
Cost of material for small chair = $10
Cost of material for large chair = $15
The selling price for a small chair = $22
The selling price for a large chair = $51
The total money spent on materials = $305
Designer makes 8 more small chairs than large chairs.
If the number of large chairs = t and the number of small chairs = s
Using the given equations, we can write the following system of equations.
10s + 15t = 305
s - t = 8
Now we make the coefficient of s in both equations the same.
Multiply 10 in the second equation.
10s + 15t = 305
10s - 10t = 80
Subtracting,
5t = 225
t = 45
s = 8 + t = 45 + 8 = 53
Therefore after solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.
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The registration fee for a used car is 0.6% of the sale price of 5200$. How much is the fee?
Answer: $31.20
Step-by-step explanation:
0.6% = 0.006
.: fee = 0.006 x 5200 = $31.20
please help geometry asap giving brainliest for whoever gives me the correct answers!!
The value of the segment in the geometry of the triangle is 17.5.
What is triangle?A triangle is a sort of polygon with three sides, as was said in the introduction. The vertex of a triangle is where two of its sides meet at an angle. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
If a line is parallel to one side of the triangle and intersects the other two sides, then it divides the side into segments of proportional length.
Thus,
12 / (12 + 14) = 15 / (15 + x)
12(15 + x) = 15(26)
180 + 12x = 390
12x = 210
x = 17.5
Hence, the value of the segment in the geometry of the triangle is 17.5.
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The Zoo-venir Stand sells zoo-related souvenirs.
Use the stem-and-leaf plot to answer 14 and 15.
14. Interpret the mean of the Zoo-venir Stand sales.
15. Interpret the range of the Zoo-venir Stand sales.
14. The mean of the Zoo-venir Stand sales is of 23.9, representing the quotient between the sum of all the amounts and the number of observations.
15. The range of the Zoo-venir Stand sales is of 30, representing the difference between the highest number and the lowest number.
How to calculate the mean and range?Considering the key format of the stem-and-leaf plot, the observations are given as follows:
12, 13, 13, 13, 14, 15, 15, 16, 17, 20, 21, 21, 22, 22, 23, 24, 25, 25, 25, 26, 27, 27, 28, 29, 29, 32, 34, 34, 37, 41, 42.
The mean is given by the sum of all observations divided by the number of observations, hence it's value is of: 23.9.
The range is the difference between the highest observation and the lowest observation, hence it is of:
42 - 12 = 30.
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SOMEONE PLEASE HELP ME I'M SO LOST
According to the diagram, angle JKL is
C. JKLHow to solve for angle JKLAdjacent angles are angles that share a common vertex and a common side, but do not overlap. In a trapezoid, adjacent angles can be any pair of angles that share a common vertex and a common side.
angle JKL and angle MKL are adjacent angels having same vertex at k
angle JKM = angle JKL angle MKL
94 = angle JKL + 47
angle JKL = 94 - 47
angle JKL = 47
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A line passes through the origin and (4, 6). What are two other points on this line?
Two other points on this line are (1, 1.5) and (2, 3)
How to determine the two other points on this line?From the question, we have the following parameters that can be used in our computation:
A line passes through the originAnd it passes through (4, 6).This means that the slope (m) of the line is
m = 6/4
Evaluate
m = 1.5
For the other points, we have
f(2) = 2 * 1.5 = 3
f(1) = 1 * 1.5 = 1.5
So, we have (1, 1.5) and (2, 3)
Hence, the points are (1, 1.5) and (2, 3)
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The rectangle is framed find the area of shaded region if the frame is 2 unit wide
The area of the shaded region is 20 square units for the given rectangle frame.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Dimensions of the inside rectangle, are as follows:
Length L₁ = 5 units
Width W₁ = 3 units
Since the frame is 2 units wide,
So, the dimensions of the outside rectangle, are as follows:
Length L₂ = 5 + 2 = 7 units
Width W₂ = 3 + 2 = 5 units
The area of the shaded region = area of the outside rectangle - area of the inside rectangle
The area of the shaded region = L₂ x W₂ - L₁ x W₁
The area of the shaded region = 7 x 5 - 5 x 3
The area of the shaded region = 35 - 15
The area of the shaded region = 20 square units
Thus, the area of the shaded region is 20 square units.
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The question seems incomplete, the missing figure is attached below.
9.5 less than a number n equals 27
Answer:
N-27 = 9n + 5
Step-by-step explanation:
write equation to the word sentence 9.5 less than a number n equals 27 the answer n-27 = 9n + 5 that is posted to this question on your website is wrong according to my homework check.
For example:The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5
Given that,
A statement,
"9.5 less than a number n equals 27"
To solve for the value of "n",
we can start by subtracting 9.5 from both sides of the equation,
9.5 less than a number n = 27
So, it can be written as,
n - 9.5 = 27
n = 36.5
Therefore, 9.5 less than a number n equals 27 the answer n-27 = 9n + 5
help me pls and thank you :)
Answer:
350
Step-by-step explanation:
∑ (xy) means the sum of the products of x and y , that is
∑ (xy)
= (7 × 2) + (2 × 5) + (5 × 7) + (9 × 4) + (6 × 2) + (10 × 9) + (9 × 9) + (8 × 4) + (4 × 10)
= 14 + 10 + 35 + 36 + 12 + 90 + 81 + 32 + 40
= 350
A company acquires equipment at a cost of $32,900 on January 3, 2004. Management estimates the equipment will have a residual value of $4,700 at the end of its 4-year useful life. Assume that the company uses the diminishing-balance method and that the diminishing-balance depreciation rate is double the straight-line rate. Calculate the depreciation expense for each year of the equipment’s life.
Answer:
Step-by-step explanation:
To calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method, we need to first find the straight-line rate, and then find the diminishing-balance rate by doubling the straight-line rate.
Step 1: Calculate the straight-line rate
The straight-line rate can be calculated as follows:
SLR = (Cost - Residual Value) / Useful Life
SLR = (32900 - 4700) / 4
SLR = $27,600 / 4
SLR = $6,900 per year
Step 2: Calculate the diminishing-balance rate
The diminishing-balance rate can be calculated as follows:
DBR = 2 * SLR
DBR = 2 * $6,900
DBR = $13,800
Step 3: Calculate the depreciation expense for each year
The depreciation expense for each year can be calculated as follows:
Year 1: Depreciation Expense = Cost * (DBR / 2)
Year 1: Depreciation Expense = $32,900 * ($13,800 / 2)
Year 1: Depreciation Expense = $32,900 * $6,900
Year 1: Depreciation Expense = $227,621
Year 2: Depreciation Expense = (Cost - Year 1 Depreciation) * (DBR / 2)
Year 2: Depreciation Expense = ($32,900 - $22,761) * ($13,800 / 2)
Year 2: Depreciation Expense = $10,139 * $6,900
Year 2: Depreciation Expense = $70,223
Year 3: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation) * (DBR / 2)
Year 3: Depreciation Expense = ($32,900 - $22,761 - $70,223) * ($13,800 / 2)
Year 3: Depreciation Expense = $10,016 * $6,900
Year 3: Depreciation Expense = $68,609
Year 4: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation - Year 3 Depreciation) * (DBR / 2)
Year 4: Depreciation Expense = ($32,900 - $22,761 - $70,223 - $68,609) * ($13,800 / 2)
Year 4: Depreciation Expense = $21,307 * $6,900
Year 4: Depreciation Expense = $146,763
So, the depreciation expenses for each year of the equipment's life are:
Year 1: $22,761
Year 2: $70,223
Year 3: $68,609
Year 4: $146,763
This is how you can calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method.
The world population is 2000 was approximately 6.08 billion (6,080,000,000). The annual rate of increase is 1.26%.
a. What is the world population in 2010?
b. What is the population in 2023?
Answer:
6.89 billion for year 2010
7.15 billion for year 2023
Step-by-step explanation:
f(x) = [tex]a(1 + r) ^{x}[/tex]
f(x) = [tex]6.08(1+ .0126)^{10}[/tex]
f(x) = 6.89 Rounded to 2 places
f(x) = [tex]6.08(1+ .0126)^{13}[/tex]
f(x) = 7.15 Rounded to 2 places
1.28/2.26 step by step explanation
Answer:
approximately 0.567088608.
Step-by-step explanation:
The division of 1.28 by 2.26 can be done as follows:
Divide the whole number part of the dividend (1) by the whole number part of the divisor (2): 1 ÷ 2 = 0 with a remainder of 1.Write the remainder (1) over the dividend, keeping the same decimals: 1.28 ÷ 2.26.Multiply the whole number part of the divisor (2) by the result of the division in step 1 (0) to get 0.Subtract this result (0) from the whole number part of the dividend (1) to get 1.Write the result of step 4 (1) as a decimal over the same number of decimals as the dividend: 1.Repeat steps 3 to 5 using this new number (1) as the dividend until you reach the desired precision.To get the final result, place the decimal point in the result according to the number of decimals in the dividend.RECAP NEED HELP STILL
Using trigonometric functions and Pythagoras' theorem, the x value of different right-angled triangles is found.
What is a right-angled triangle?
A right triangle, also known as a right-angled triangle, is a triangle with one right angle, or two perpendicular sides. The sum of the other two angles is 90 degrees.
In all of these figures, one of the angles is 90°. So we can use Pythagoras' theorem and trigonometric relations, to solve the questions.
1) Opposite side = 5
sin 27° = Opposite side/ hypotenuse
0.45 = 5/x
x = 11.11
2) Hypotenuse = 16
cos 63 = adjacent side/hypotensue
0.45 = x / 16
x = 7.2
3) Hypotenuse = 29
sin 67 = opposite side/hypotensue
0.92 = x/29
x = 26.68
4) Opposite side = 27
tan 39° = opposite side/ adjacent side = 27/x
0.81 = 27/x
x = 33.33
5) sin Q = opposite side / hypotensue = 14/50 = 7/25
sin R = opposite side / hypotensue = [tex]\sqrt{50^2 - 14^2}[/tex]/50 = 48/50 = 24/25
cos Q = PQ/ 50 = 48/50 = 24/25
cos R = PR/50 = 14/50 = 7/25
tan Q = sin Q/cos Q = 7/24
tan R = sin R/cos R = 24/7
Therefore using trigonometric functions and Pythagoras' theorem, the x value of different right-angled triangles is found.
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If you toss 9 fair coins, in how many ways can you obtain at least two tails?
("At least two" is the complement of "zero or one.")
There are different ways of obtaining at least two tails.
(Type a whole number.)
There is 1 way to obtain at least two tails when you toss 9 fair coins.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
If you toss 9 fair coins, there are 2⁹ = 512 possible outcomes.
The number of ways to obtain zero or one tail is equal to the number of ways to obtain all heads or one head and the rest of tails, which is 2⁹ - 1 = 511.
Therefore, the number of ways to obtain at least two tails is the complement of the number of ways to obtain zero or one tail, which is 512 - 511 = 1.
Therefore, there is 1 way to obtain at least two tails when you toss 9 fair coins.
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HELPP ASAP
suppose
Find the value
Answer:
C, I did the math
hope this helps
What is the area of rhombus ABCD?
24.57 cm^2
39.00 cm^2
98.28 cm^2
78.00 cm^2
The area of rhombus ABCD is 98.28 cm². Therefore, option C is the correct answer.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, in rhombus ABCD, AD=10 cm and OC=7.8 cm.
Here, BC²=OC²+OB²
10²=7.8²+OB²
OB²=100-60.84
OB²=39.16
OB=√39.16
OB=6.3 cm
AC=2×7.8
AC=15.6 cm
BD=2×6.3 =12.6 cm
We know that, area of rhombus is 1/2 ×(Product of diagonals)
Now, area= 1/2 ×15.6×12.6
= 98.28 cm²
Therefore, option C is the correct answer.
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A(t) = 17t - 1/2 * t ^ 2 power lawn mowers, 10. Suppose that the factory's cost of manufacturing units is C(x) After hours of operation, an assembly line has assembled C(x) = 2772 + 110x (a)Express the factory's cost as a (composite) function of the number of hours of operation of the assembly line )What is the cost of the first 2 hours of operation?
The function of the number of hours of operation of the assembly line will be 2772 + 110[17t - 1/2t²].
The cost of the first 2 hours of operation will be $6292
How to calculate the functionFrom the information, A(t) = 17t - 1/2t² power lawn mowers, 10 and we suppose that the factory's cost of manufacturing units is C(x) after hours of operation, an assembly line has assembled C(x) = 2772 + 110x.
Therefore, the (composite) function of the number of hours of operation of the assembly line will be:
= 2772 + 110[17t - 1/2t²]
The cost of the first 2 hours of operation will be:
2772 + 110[17t - 1/2t²]
= 2772 + 110[17 × 2 - 1/2 × 2²
= 2772 + 110(34 - 2)
= $6292
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Find the surface area of the prism.
S.A.
?
cm²
5cm
4cm
7cm
Please hurryyyy
The Total Surface Area for given prism will be 166 [tex]cm^2[/tex].
How to calculate the total surface area of Rectangular Prism?The entire surface area of a rectangular prism may be computed by adding the areas of its six sides. A rectangular prism's surface area may be determined using the following formula:
[tex]Surface Area = 2(l*w) + 2(l*h) + 2(w*h)[/tex]
where:
l = length of the rectangular prism
w = width of the rectangular prism
h = height of the rectangular prism
Using this formula for given problem,
Given,
l=5cm
w=4cm
h=7cm
[tex]\text{Total Surface area}=2.(5.7)+2.(4.5)+2.(4.7)\\\\=70+40+56\\\\=166\;cm^2[/tex]
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pleas help me ill give you brainliest
Answer:
This is a Right Triangle because the last angle is 90 degrees.
Joe bought g gallons of gasoline for $2.85 per gallon and c cans of oil for $3.15 per can. Select all of the expressions representing the total amount Jorge spent on gasoline and oil that are equivalent when c = 2 and g = 5
Answers:
3.15g + 2.85c
2.85g + 3.15c
2.85c + 3.15g
7.00g + 7.00c
3.15c + 2.85g
Find the volume of the irregular figure. 1 cm 5 cm 1 cm 6 cm 4 cm 10 cm 12 cm [?] cm ³ Enter
The volume of the irregular figure is solved to be
78 cubic centimetersHow to find the volume of the irregular figureThe volume of the irregular figure is solved by the formula
= area of the figure * thickness
The area of the figure is solved by dividing the firue into regular shapes and this will result to two rectangles
Area of the first rectangle
= length x width
= 4 * (12 - 5)
= 4 * 7
= 28 square centimeters
Area of the second rectangle
= 10 * 5
= 50 square centimeters
Total area = 50 + 28 = 78
volume = 78 * 1 = 78 cubic centimeters
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Write the equation of a line that is perpendicular to y= 3/2x - 4 and goes through the points (2,-2)
Answer:
The equation of the line that is perpendicular to y= 3/2x - 4 and goes through the point (2,-2) is y = -2/3x + 4.
Step-by-step explanation:
3y - 2x = -9 y = -2x +
5 A system of linear equations is given by these equations:
On solving the provided question, we can say that the linear equation are 3y - 2x = -9 and y = -2x +5 => 3(-2x +5) - 2x = -9 => x = 3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the linear equation are
3y - 2x = -9 and y = -2x +5
3(-2x +5) - 2x = -9
-6x + 15 -2x = -9
-8x = -24
x = 3
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I need help math asap algebra 2
Answer:
c = 8
Step-by-step explanation:
4x³ + cx² + x + 2 ÷ x + 2 = ...
first we divide
4x³ + cx² by x + 2
and that is by doing 4x³/x = 4x².
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
now we need to find the remainder, as with regular number divisions :
4x² × (x + 2) = 4x³ + 8x²
which we need to subtract from the left side
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
- 4x³ + 8x²
----------------
0 cx² - 8x²
now we pull down the next position (x) and divide that by x + 2
4x³ + cx² + x + 2 ÷ x + 2 = 4x² + 1
- 4x³ + 8x²
----------------
0 cx² - 8x² + x
and the same again, to find the remainder, we have to subtract 1×(x + 2) = x + 2 from the left side
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
- 4x³ + 8x²
----------------
0 cx² - 8x² + x
- x + 2
-----------------------------
cx² - 8x² 0 0
the polynomial is divisible by x + 2, if the remainder is 0.
so,
cx² - 8x² = 0
cx² = 8x²
c = 8
please help with explanation
The answer to the question on the value of x in a triangle is x = 60 degrees.
What is the value of x ?The fact that all the angles are labeled as x means that this is an equilateral triangle which is a triangle where all the angles are equal.
Should this be the case, the value of x would be:
= Sum of interior angles of triangles / Number of sides in triangle
Sum of interior angles of triangles = 180 degrees
Number of sides = 3 sides
The value of x is:
= 180 / 3
= 60 degrees
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Select the correct answer. What is the value of x in the equation 1,331x3 − 216 = 0? A. B. C. D.
Answer: x=0.545455
Step-by-step explanation:
add 216 to both sides
divided both sides by 1331
take cube root
The area of a rectangular living room is 192 square feet. The length of the room is 8 feet less than twice the width. What is the width of the living room in feet?
Answer:
The width of the living room is 10 feet.
Step-by-step explanation:
Let the width of the living room is w.
And the length of the room is 2w - 8 ft.
Given,
The area of the room is 192 feet^2, by using the formula of area of a rectangle we get,
A = l × w
192 = (2w - 8) × w
Now,
192 = 2w^2 - 8w ( By expanding)
200 = 2w^2 (By adding 8w to both sides)
100 = w^2 (Dividing both sides by 2)
If we take square root on both sides,
w = 10
So,
The width of the living room is 10 feet.
Find the equation of the line containing the points (-3, 11)
and (-4,1).
Write the equation in slope-intercept form.
The equation in slope-intercept form is y = 10x + 41.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (-3, -4).
Points on y-axis = (11, 1).
At point (-3, 11), a linear equation of this line can be calculated in slope-intercept form as follows:
y - 11 = (1 - 11)/(-4 + 3)(x + 3)
Y - 11 = 10(x + 3)
y = 10x + 30 + 11
y = 10x + 41.
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