Answer:
d=35
Step-by-step explanation:
Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
Find the missing length indicated
Please help, no links
Answer:
x = 48
Step-by-step explanation:
36/x = x/64
x² = 36 x 64 = 2304
x = √2304 = 48
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 10 ) ∘ ∠A=(2x+10) ∘ and m ∠ B = ( 3 x + 15 ) ∘ ∠B=(3x+15) ∘ , then find the measure of ∠ B ∠B
Answer:
you are in my class I need this too
Help me please if you can
Answer:
3 1/8
Step-by-step explanation:
3 1/2 can also be represented as 3 4/8. Knowing this, we can apply it to the equation.
6 5/8 - 3 4/8
= 3 1/8 or 25/8
What is the domain of the function graphed above?
A.
{7/2}
B. -♾
O C. -2 _< x <♾
OD. -10 _< x _< 10
Answer:
D
Step-by-step explanation:
Often we need to use exponents to correctly model the variation in situations:
The volume of a cylinder varies jointly with the square of its radius and its height. Its
general equation looks like V = kr’h where k= some constant number for all cylinders
and V, rand h are variables representing volume, radius and height, respectively. When
the radius is 3 cm and height is 5 cm, the cylinder has a volume of 141.3 cm. Find the
volume when the radius is 6 cm and the height is 10 cm.
Answer:
V = 1130.4 cm³
Step-by-step explanation:
Given that V varies jointly with r² and h then the equation relating them is
V = kr²h ← k is the constant of variation
To find k use the condition when r = 3 and h = 5 then V = 141.3 , then
141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )
k = 3.14 ← note approximation for π
V = 3.14r²h ← equation of variation
When r = 6 and h = 10, then
V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³
A car is traveling at a rate of 108 kilometers per hour. What is the cars rate in meters per second? How many meters will the car travel in 20 seconds?
Answer:
\(\frac{30meters}{second}\)
600meters
Step-by-step explanation:
Use conversion factors that represent 1. You can cross cancel wods just like numbers.
\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)
\(\frac{108000meters}{3600seconds}\)
\(\frac{30meters}{second}\)
\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)
600 meters
Helping in the name of Jesus.
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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PLEASE PLEASE PLEASE PLEASE HELP MEEEEE
Answer:
x+(-1) and y+2
Step-by-step explanation:
you pick a point on the triangle and see how many over and up it goes for the translation.
i hope this helps :)
An astronaut is returning to Earth in a spacecraft. If the spacecraft is descending at a rate of 13.81 kilometers per minute, what will be its change in height after 512 minutes? Round your answer to the nearest kilometer.
Answer: 37.07 km
Step-by-step explanation: you would divide 512 by 13.81 to get the answer.
Answer:
Step-by-step explanation:
f(n)= 4n+4
g(n)= n + 1
Find (f + g)(n)
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
h(x) = x−1⁄3 (x − 12)
The critical value of the given function is = -11/2
The x values for which f'(x) = 0 are the crucial values of a function f(x).
The function in this quandary is:
h(x) = x−1⁄3 (x − 12)
The derivative is discovered using the quotient rule as follows:
\(h(x) = \frac{x - 1}{3(x - 12)} \\\\h'(x) = \frac{ (x-1) (3x - 36)' - (x - 1)'(3x - 36)}{(3x - 36)^{2} }\\\\h'(x) = \frac{ (x-1) (3) - (-1)(3x - 36)}{(3x - 36)^{2} }\\\\On equating it to 0\\\\\frac{ (x-1) (3) + 1(3x - 36)}{(3x - 36)^{2} } = 0\\\\3x - 3 + 3x + 36 = 0\\\\6x + 33 = 0\\\\x = \frac{-11}{2}\)
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Exhibit 3-3Suppose annual salaries for sales associates from Hayley's Heirlooms have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500.The z-score for a sales associate from this store who earns $37,500 is ____
Answer:
The z-score for a sales associate from this store who earns $37,500 is 2
Step-by-step explanation:
From the given information:
mean \(\mu\) = 32500
standard deviation = 2500
Sample mean X = 37500
From the given information;
The value for z can be computed as :
\(z= \dfrac{X- \mu}{\sigma}\)
\(z= \dfrac{37500- 32500}{2500}\)
\(z= \dfrac{5000}{2500}\)
z = 2
The z-score for a sales associate from this store who earns $37,500 is 2
Timed. Please help!!
Answer:
m<ABF = 34
m<FDC = 51
m<CFD = 92
Answer:
I am not sure about this.
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²please help meeeeeee
Answer:
ok, pa ako radiš milk guy u sos jdm
Step-by-step explanation:
Solve 8x + c = k for x. O A. X = B(k -C) O kto B. X = 8 O C. X = ķ-6 8 D. x = 8(K+c)
Answer: x = k-c/8
Step-by-step explanation:
APEX
write a equation in a point-slope form fir the line through the given point with the given slope (9,-1);m=4/3
Answer:
y +1 = 4/3( x-9)
Step-by-step explanation:
Point slope form of an equation is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on a line
y - -1 = 4/3( x-9)
y +1 = 4/3( x-9)
M = I1+I₂ 31 +32 2 Now let's substitute in our given values. (-2 , 2) = ((-5 Find 2 and y2 We will now set up two equations to solve for our two unknowns of x2 and y₂. (-5 X2 (-5+₂) -5+22), (7+)) 2 - +₂)/2 = We will first want to multiply by 2 on both sides and will get −5+₂= -4 Adding 5 to both sides we get = 7 This is the coordinate of point B. Now we will set up the equation to solve for y2 +y2)/2 =
The coordinates of point B are (-3, 17).
The given equation is M = I₁ + I₂ = 31 + 32.
Now let's substitute in our given values:
(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)
We will now set up two equations to solve for our two unknowns, x₂ and y₂:
Equation 1: (-5 + x₂) / 2 = -4
Multiply both sides by 2:
-5 + x₂ = -8
Add 5 to both sides:
x₂ = -3
This gives us the x-coordinate of point B.
Equation 2: (-5 + 2 + y₂) / 2 = 7
Simplify:
(-3 + y₂) / 2 = 7
Multiply both sides by 2:
-3 + y₂ = 14
Add 3 to both sides:
y₂ = 17
This gives us the y-coordinate of point B.
Therefore, the coordinates of point B are (-3, 17).
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In the Gaussian integral, how does the left side of this equation equal the right side? An answer would be really appreciated, thank you.
the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.
How do we calculate?
using completing the square method:
Starting with the left side of the equation:
∫\(e^(^-^x^2)\) dx
\(e^(^-^x^2) = (e^(^-x^2/2))^2\)
∫\((e^(^-^x^2/2))^2 dx\)
let u = √(x²/2) = x = √(2u²).
dx = √2u du.
∫ \((e^(^x^2/2))^2 dx\)
= ∫ \((e^(^-2u^2)\)) (√2u du)
The integral of \(e^(-2u^2)\)= √(π/2).
∫ \((e^(-x^2/2))^2\) dx
= ∫ (√2u du) \((e^(-2u^2))\\\)
= √(π/2) ∫ (√2u du)
We substitute back u = √(x²/2), we obtain:
∫ \((e^(-x^2/2))^2\)dx
= √(π/2) (√(x²/2))²
= √(π/2) (x²/2)
= (√π/2) x²
A comparison with the right side of the equation shows that they are are equal.
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Find the measure of Arc AC in the figure below. Explain your answer by showing your
steps or explain by writing 2-3 sentences.
PLS HELP!
Answer: 21
Step-by-step explanation:
arc AC = 2b
3x + 9 = 2(3x - 1.5)
3x + 9 = 6x - 3
solve for x
6x - 3x = 9 + 3
3x = 12
x = 4
substitute in the 2 equations
3 (4) - 1.5 = 10.5
which means that if we substitute in the second equation we should get 21
3(4) + 9 = 21
so arc AC= 21 degrees
What is 8,838 rounded to the nearest ten
Answer:
8840
Step-by-step explanation:
Answer:
8,840
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the objects acceleration. When a force of 60 N acts on a certain object, the acceleration of the object is 10 m/s^2 . If the force is changed to 54 N, what will be the acceleration of the object
Step-by-step explanation:
Hey, there!!!
According to your question,
case i
force (f) = 60 n
acceleration due to gravity (a)= 10m/s^2
now,
force = mass × acceleration due to gravity
or, 60 = m × 10
or, 10m= 60
or, m= 60/10
Therefore, the mass is 6 kg.
now,
In case ii
mass= 6kg {Because there was no change in mass only change in force}
force= 54 n
now, acceleration due to gravity = ?
we have,
f=m×a
or, 54= 9×a
or, 9a= 54
or, a= 54/9
Therefore, the acceleration due to gravity is 6m/ s^2.
Hope it helps....
Will mark Brainlyist help me fill out the chart
Answer:
The working is done in the image attached.
Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
3. What is the slope of a line perpendicular to the line y =-2/3
x+12
Answer:
Slope of line (i) = 1.5
Step-by-step explanation:
Line (i) is perpendicular to;Line (ii) whose equation is y = \(-\frac{2}{3} x + 12\)The slope of line (ii) = \(-\frac{2}{3}\)
* Mathematics rule: The product of slopes of two perpendicular lines = -1
∴ The slope of line (i) = -1 ÷ \(-\frac{2}{3}\) = 3/2 = 1.5
A manufacturer is producing metal rods, whose lengths are normally distributed with a mean
of 75.0 cm and a standard deviation of 0.25 cm. If 3000 metal rods are produced, how many
will be between 74.5 cm and 75.5 cm in length?
Therefore, we can expect that approximately 95.45% of the 3000 metal rods produced will fall between 74.5 cm and 75.5 cm in length. To find the actual number, we multiply 0.9545 by 3000, yielding approximately 2864 rods.
To determine how many metal rods will be between 74.5 cm and 75.5 cm in length, we can use the properties of the normal distribution.
Given that the lengths of the metal rods are normally distributed with a mean of 75.0 cm and a standard deviation of 0.25 cm, we can calculate the probability of a rod falling within the specified range.
First, we find the z-scores for the lower and upper limits of the range. The z-score for 74.5 cm is
\(\frac{ (74.5 - 75.0) }{ 0.25} = -2,\)
and the z-score for 75.5 cm is
\(\frac{(75.5 - 75.0)} { 0.25} = 2.\)
Using a standard normal distribution table or a statistical calculator, we can determine the area under the curve between these z-scores, which represents the probability.
The area between -2 and 2 is approximately 0.9545.
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divide r by 8, then double the result
The expression divide r by 8 when doubled is r/4
What is an algebraic expression?An algebraic expression can be seen or described as a mathematical or arithmetic expressions that is composed of arithmetic terms, factors, constants, variables, and coefficients.
These expressions are also known to be composed of mathematical operations, such as;
SubtractionAdditionMultiplicationBracketDivision, etcFrom the information given, we have;
divide r by 8
This is expressed as;
r/8
In doubling the expression, we get;
2(r/8)
expand the bracket
2r/8
Simplify further
r/4
Hence, the expression is r/4
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Carlos es 7 años mayor que José. Dentro de tres
años la suma de sus edades es 21.
¿Cuáles son sus edades ahora?
Answer:
Carlos tiene 11 años, mientras que José tiene 4 años.
Step-by-step explanation:
Dado que Carlos es 7 años mayor que José, y dentro de tres años la suma de sus edades será 21, para determinar cuáles son sus edades ahora se debe realizar el siguiente cálculo:
21 - 7 - 3 = X
14 - 3 = X
11 = X
11 - 7 = 4
Así, Carlos tiene 11 años, mientras que José tiene 4 años.
Solve the given equations. Place the name of each equation in order by the least number of solutions to the greatest number of solutions.
The order of the equations from least number of solutions to greatest number of solutions is: C, B , and A.
What is equation and expression?In algebra, an expression is made up of several numbers, variables, and mathematical operations including addition, subtraction, multiplication, and division. One expression is, for instance, 3x + 2y - 5.
In algebra, an equation is a claim that two expressions are equal to one another. Often, it asks us to determine the value of a variable that would make the equation true.
Equation A:
4x + 12 = 2(2x + 3) + 6
4x + 12 = 4x + 12
This equation has infinitely many solutions, as 0 = 0 is always true.
Equation B:
5(x - 1) = 3(x + 7)
5x - 5 = 3x + 21
2x = 26
x = 13
This equation has one solution, which is x = 13.
Equation C:
2x - 4 = 2(x + 18)
2x - 4 = 2x + 36
-4 = 36
This equation has no solutions.
Hence, the order of the equations from least number of solutions to greatest number of solutions is: C, B , and A.
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