Answer:
[tex]\frac{16}{32}[/tex]
Step-by-step explanation:
given
[tex]\frac{1}{2}[/tex] ← multiply numerator and denominator by 16 (2 × 16 = 32 )
= [tex]\frac{16}{32}[/tex]
In how many years a sum of money doubles at the rate of 8%?
Answer:
about 9 years
Step-by-step explanation:
You want to know the doubling time for money earning an interest rate of 8%.
Rule of 72The rule of 72 tells you the doubling time is about ...
72/(interest rate %) = 72/8 = 9 . . . . years
The sum will double in about 9 years.
__
Additional comment
The actual period will depend on the way interest is compounded. When compounded annually, the time is ...
log(2)/log(1.08) ≈ 9.01 . . . years
Compounded monthly, the time is ...
log(2)/(12·log(1 +.08/12)) ≈ 8.69 . . . years
find all three-digit numbers that meet these criteria: all digits are distinct, one digit is odd, and the sum of the digits is five.
Answer:
203, 230, 320, 302, 140, 410, 104, 401
Step-by-step explanation:
To meet the criteria, we have to think of all the ways we can use three distinct numbers, with one of the numbers being odd, which adds up to 5:
1 + 4 + 0 = 5
2 + 3 + 0 = 5
Subsequently, use the numbers we found and rearrange them to form three-digit numbers.
At a run festival, 5/7 of the runners are women. If there are 1050 runners, how many are women?
Answer: 750
Step-by-step explanation:
5/7 = women
2/7 = men (to get 2/7, 7/7 - 5/7 and you get 2/7)
5/7 x 1050
= 5 x 1050/7
= 5250/7
=750
The / means divide
Calculate the integral of ze2x + y over the surface of the box in the figure below.
0<= x <= 2
0<= y <= 3
_____________
We will use the triple integral in cylindrical coordinates to calculate the integral across the surface of the box in the illustration.
The integral is given by:
[tex]∫∫∫ {ze}^{2x} + y dzdydx[/tex]
Where x, y, and z are the coordinates and the limits of integration are
[tex]0 <= x <= 2, 0 <= y <= 3, and 0 <= z <= {ze}^{2x} + y[/tex]
We can change the integral into cylindrical coordinates by using the following change of variables:
x = rcosθ
y = rsinθ
z = z
The integral becomes:
[tex]∫(0 to 2)∫(0 to 3)∫(0 to ze^(2r cosθ) + r sinθ) rze^(2r cosθ) + r^2sinθ dzdrdθ[/tex]
Although the integral is challenging to calculate, this method will assess it. The region of integration can be determined by knowing the bounds of z, which would be beneficial given that the box is in rectangular coordinates.
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Below you are given a partial Excel output based on a sample of 25 observations. Coefficients Standard Error Intercept 145 29 x1 20 5 x2 –18 6 x3 4 4 The estimated regression equation is _____. a. y = β0 + β1x1 + β2x2 + β3x3 + ε b. E(y) = β0 + β1x1 + β2x2 + β3x3 c. ŷ = 29 + 5x1 + 6x2 + 4x3 d. ŷ = 145 + 20x1 – 18x2 + 4x3
The estimated regression equation is d. ŷ = 145 + 20x₁ – 18x₂ + 4x₃
This equation is obtained from the coefficients given in the table. It is the equation that best predicts the value of the dependent variable (y) based on the values of the independent variables (x₁, x₂, and x₃).
The equation is in the form of y = β₀ + β₁x₁ + β₂x₂ + β₃x₃ + ε, where β₀, β₁, β₂, and β₃ are the coefficients of the independent variables and ε is the error term. These coefficients represent the change in the dependent variable for a unit change in the independent variable, holding all other independent variables constant.
From the table, we can see that the value of β₀ = 145, which represents the predicted value of y when all independent variables (x₁, x₂, and x₃) are equal to zero.
The value of β₁ = 20 represents the change in the predicted value of y for a unit change in x₁, holding x₂ and x₃ constant. Similarly, the value of β₂ = -18 represents the change in the predicted value of y for a unit change in x₂, holding x₁ and x₃ constant, and the value of β₃ = 4 represents the change in the predicted value of y for a unit change in x₃, holding x₁ and x₂ constant.
So, the estimated regression equation is: ŷ = 145 + 20x₁ – 18x₂ + 4x₃.
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A room measures 12 1/2 feet on each side. How many square feet of carpeting will be needed to completely cover the floor?
A) 25
B) 50
C) 144 1/4
D) 156 1/4
I have the right answer, show work please
Answer:
156 1/4
Step-by-step explanation:
Assume the room is a square.
side = 12 1/2 ft
area = (side)²
area = (12 1/2 ft)²
area = (12 1/2 ft) × (12 1/2 ft)
area = (144 + 6 + 6 + 1/4) ft²
area = 156 1/4 ft²
Makin Bread Bakery used 300 kg of flour for bread orders last month. This month, they
had less orders and used 20% less flour. How much flour did they use this month?
Using the percentage method the amount of flour used this month in the bakery for bread orders is 240 kg.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
The amount of flour used last month is, a = 300 kg
The percentage of flour less used is = 20%
Calculate the 20 percent of 300 kg flour -
b = 20% × 300
b = 20/100 × 300
b = 60 kg
The amount of flour used this month = a - b
The amount of flour used this month = 300 - 60
The amount of flour used this month = 240 kg.
Therefore, this month 240 kg of flour was used.
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9. (-12,-62) and (-22, -62) help
1. Solve for BC using Law of Cosines. Round to the nearest tenth when necessary.
Using cosine law in the triangle given, the length of BC is 32 units
What is Law of CosineThe law of cosines (also known as the cosine formula) is an equation that relates the lengths of the sides of a triangle to the cosine of one of its angles. It states that:
a² = b² + c² - 2(b)(c) Cos(A)
In the given problem, the data;
AB = 29AC = 23BC = ?angle A = 75°Substituting the values into the formula and solve for BC;
BC² = 29² + 23² - 2(29)(23) Cos 75
BC² = 1024.735393
BC = √1024.735393
BC = 32.01
BC ≈ 32
The length of side BC in the triangle is 32 units
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For what value of x is the rational expression below equal to zero?
2-x+x/2+x
Options:
A. 2
B. 0
C. -1
D. -2
The value of x for which the rational expression equals to zero is -4
What is System of Linear Equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the standard form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
A linear equation is an algebraic equation in which each term has an exponent of 1, and which, when plotted on a graph, always yields a straight line. It is called a "linear equation" for this reason.
The equation is
2 - x +x/2 + x = 0
⇒ x/2 = -2
⇒ x = -4
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Find the value of 7u +6 given that 3u-8=4.
simplify your answer as much as possible.
Answer:
34.
Step-by-step explanation:
The value of 7u + 6
=3u - 8 = 4
=3u = 4 + 8
=3u = 12
=3u/3 = 12/3
u = 4.
therefore u = 4
=7u + 6
=7(4) + 6
=28 + 6
=34.
What is the answer to this
Count the number of different functions with the given domain, target and additional properties
(a) f(0,1}{0,1).
(b) f: (0,1}{0,1). The function f is one-to-one
(c) f. (0,1)5(0,1)
(d) f (0,135 (0,1). The function f is one-to-one
The number of different functions with the given domain, target and additional properties is as follows:
(a) There are infinitely many different functions, as there is no additional property given that could have the domain (0,1) and the target {0,1}.
(b) The only one-to-one function with the domain (0,1) and the target {0,1} is the identity function, f(x) = x. The additional property is that the function is one-to-one.
(c) The function f has a target of and a domain of (0,1) and (0,1). There are an infinite number of possible functions that could have this domain and target because no additional property is provided.
(d) There are infinitely many different one-to-one functions that could have the domain (0,1) and the target (0,1).
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Use the image below to find y
Answer:
y = 7
Step-by-step explanation:
since the 2 triangles are congruent then corresponding angles are congruent , so
∠ R = ∠ F , that is
13y - 1 = 90 ( add 1 to both sides )
13y = 91 ( divide both sides by 13 )
y = 7
8. At sunrise in Townville, Roger
records the air temperature for a
school project, every hour. The
graph shows the change in
temperature over time. Write a
linear function in the form y = mx +
b to represent the situation.
Temperatures
Temperature (°F)
20
16
12
8
O
4 8 12 16 20
Time (h)
On solving the provided question, we can say that the linear function that can be formed y = mx + b, y = temperature, x = time
What is linear function ?Two distinct but related concepts are referred to as linear functions in mathematics. A polynomial function of degree 0 or 1 is a linear function in calculus and related subjects if its graph is a straight line. Any function that depicts a straight line on a coordinate plane is said to be linear. For instance, y = 3x - 2 is a linear function since it depicts a straight line on the coordinate plane. f(x) = 3x - 2 can be used to represent the function since f(x) can be linked to y.
here,
the linear function that can be formed
y = mx + b
y = temperature
x = time
a and b = variables
for first data = 20 = 4m+b
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1) Which of the following relations are functions?
The relation which is a function among the given answer choices are Choices A and D.
Which among the given answer choices represent a function?It follows from the task content that the answer choices which represent a function be identified as required.
By definition, a function is a relation in which case, no one input value is assigned more than one output.
On this note, for Choice A; all input values have only one output value assigned to them and for Choice D; the graph represents a quadratic function in which case, each input value, x is assigned only one output value, y.
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The equation 3x62x10x4 is true for all real numbers. The equation 6x22x4x1 has no solution. When do you think an equation has all real numbers as its solutions?
When an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
3x +6 = 2x +10 +x -4
Subtract (3x+6) from both sides:
(3x +6) -(3x +6) = (2x +10 +x -4) -(3x +6)
0 = x(2 +1 -3) +(10 -4 -6)
0 = 0
0 = 0 . . . . has "all real numbers" as a solution set
6x +2 -2x = 4x +1
Subtract (4x+1) from both sides:
(6x +2 -2x) -(4x +1) = (4x +1) -(4x +1)
x(6 -2 -4) +(2 -1) = 0
0x +1 = 0
1 = 0
Does not have "all real numbers" as a solution set. There is no solution
Hence, when an equation simplifies to 0=0 then it has true for all real numbers or else it does not have solution.
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I have some extra points so I'm going to give them away BUT you have to answer this question
Make sure to add a drawing on how you answered this
If you get it right ill make you brainly,
Thank caliaquinton for the idea. =D
A graph of triangle ABC after a translation of 1 unit left and 7 units down is shown in the image attached below.
What is a translation?In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
By translating the pre-image of triangle ABC vertically down by 7 units and horizontally left by 1 unit, the coordinates of the image of triangle A'B'C' include the following:
(x, y) → (x - 1, y - 7)
Coordinate A = (-6, 7) → Coordinate A' (-6 - 1, 7 - 7) = (-7, 0)
Coordinate B = (-8, 1) → Coordinate B' = (-8 - 1, 1 - 7) = (-9, -6)
Coordinate C = (-1, 2) → Coordinate C' = (-1 - 1, 2 - 7) = (0, -5)
Next, we would use an online graphing calculator to construct (plot) triangle A'B'C' on a cartesian coordinate based on its vertices after a translation.
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(8-2)x(3+2)-1}x3 anwer in need
Answer:
(6)×(5)-1)3
6×5-3
30-3
=27
For the data in the table does y vary directly with x? if it does, write an equation for the direct variation pleaseee!!
Yes, because it is a graph of a straight line with y = 1.625x, y changes for every value of x.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, Value set for x and y.
Since it asked if the given equation is linear or not
The general formula for the line:
y = mx +c
where,
m is slope
and c is constant
m = (y₂ - y₁)/(x₂ - x₁)
in our case
m = 26 - 13 / 16 -8
m = 13/8
Thus the equation of a line:
y = 13/8x + c
putting any of the given coordinates in the given equation:
c = 0
Thus, the equation of a line
y = 1.625x
Therefore, yes, y varies for every value of x since it is a graph of a straight line y = 1.625x
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x+2=8-x what is the answer to this
Answer:
[tex]x + 2 = 8 - x \\ \\ \dashrightarrow \: x + x = 8 - 2 \\ \\ \dashrightarrow \: 2x = 6 \\ \\ \dashrightarrow \: x = 3[/tex]
hope helpful ;-;
Answer:
x = 3
Step-by-step explanation:
x+2=8-x what is the answer to this?
x + 2 = 8 - x
move the x to the left and the 2 on the right and change the signx + x = 8 - 2
solve on both sides2x = 6
divide the two parts by 2x = 3
----------------------------
check
3 + 2 = 8 - 3
5 = 5
the answer is goodWhich fraction is equivalent to fraction with numerator negative 3 and denominator 2
The equivalent fraction of -3/2 is the fraction -6/4
How to determine the equivalent fractionFrom the question, we have the following parameters that can be used in our computation:
numerator negative 3 and denominator 2
Express the fraction properly
So, we have
-3/2
Multiply the numerator and the denominator by a constant (say 2)
So, we have
-6/4
This implies that -6/4 is equivalent to 3/2
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which equation represents the line that psses through (2,3) and (-2,5)
The equation of line that passes through (2,3) and (-2,5) is y = (-1/2)x + 4.
What is the equation of line that passes through the given points?The point-slope form is expressed as;
( y - y₁ ) = m( x - x₁ )
Where m is slope, x₁ and y₁ are the coordinates of the point .
Given the data in the question;
Point 1 (2,3)
x₁ = 2y₁ = 3Point 2 (-2,5)
x₂ = -2y₂ = 5First, determine the slope.
Slope m = (y₂ - y₁)/(x₂ - x₁)
Slope m = ( 5 - 3 ) / ( -2 - 2)
Slope m = 2 / -4
Slope m = -1/2
Plug the slope m = -1/2 and point (2,3) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 3 ) = (-1/2)( x - 2 )
y - 3 = (-1/2)x - (-1/2)2
y - 3 = (-1/2)x + 1
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4
Therefore, the equation of the line is y = (-1/2)x + 4.
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Help please I am really struggling with my geometry
Answer:
A) [tex]108^{\circ}[/tex]
Step-by-step explanation:
[tex]m\angle 1+m\angle 2=180^{\circ} \\ \\ 72^{\circ}+m\angle 2=180^{\circ} \\ \\ m\angle 2=108^{\circ}[/tex]
A person with a systolic blood pressure greater than 120 mmHg and less than or equal
to 139 mmHg is said to have prehypertension. Which inequality represents the range of
systolic blood pressure for a person with prehypertension?
a. 120 < x < 139
b. 120 < x≤ 139
C. 120 ≤x < 139
d. 120 ≤x≤ 139
BD=16 and AC is the
perpendicular bisector of BD.
2x-14
B
21-2
37-x
y+3
BC=[?]
Enter
Answer:
BC = 8
Step-by-step explanation:
If AC is the perpendicular bisector of BD then
BC = CD = BD/2
BD/2 = 8
So BC = 8
Answer:
the answer is
Step-by-step explanation:
What is the value of x
Answer: 104
Step-by-step explanation:
Angles at a line are equal to 180 degrees so:
180 = 72 + (x + 4)
180 = x + 76
180 -76 = x + 76 -76
104 = x
Which graph represent the function?
Answer:
c
Step-by-step explanation:
Which answers describe the shape below? Check all that apply.
0
A. Rectangle
B. Rhombus
C. Parallelogram
D. Trapezoid
E. Quadrilateral
F. Square
Answer:
Step-by-step explanation:
it do be a quadrilateral parallelogram and rhombus cause it do
Answer:
Step-by-step explanation:
If one For loop is nested within another, then the counter variables for the two loops should be different.
True or False
You can use the same name (identifier). It may be a different object. They both loop will not affect each other.
Inside the inner or second loop, there is no way to refer to the object used in the first loop (unless you make special bread for that, as by providing a pointer to it).
This is Normally bad style, is prone to confusion, and should be avoided.
The objects are different only if the inner one is defined alone, as with the int I you have shown. If the same name is used without shaping a new object, the loops will use the same object and will interfere with each other.
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