Answer:
• The original value of a cell phone is 650
,• The function represents exponential decay
Explanation:
Given the model
\(y=650(0.77)^x\)The original value of a cell phone is when x = 0
Substituting x = 0 in the given model, we have:
\(\begin{gathered} y=650(0.77)^0 \\ =650(1) \\ =650 \end{gathered}\)The function represents exponential decay, because 0.77 is between 0 and 1.
Which systems of equations have no solution?
Answer:
same slope, different intercepts (parallel lines essentially)
Step-by-step explanation:
In OY, OB is a diameter with length of 8cm andBY A= 120°. Calculate the area of the sector.
Area of sector = 16.75 cm²
Explanation:Diameter = OB = 8 cm
Area of sector = θ/360 × πr²
θ = 120°
Diameter = 2(radius)
8 = 2(radius)
radius = 8/2 = 4 cm
let π= 3.14
Inserting the values into the formula:
\(\begin{gathered} Area\text{ of sector = }\frac{120}{360}\times3.14\times4^2 \\ \text{Area of sector = 1/3 }\times3.14\times4^2 \\ \end{gathered}\)\(\text{Area of sector = }16.75\text{ cm}^{2}\)3z - 8xyz + 4x^2y^2z please solve this
Answer:
z(3-8xy+4x^2y^2)
Having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old. They can afford to save $440 per month. They place the money into an annuity that pays 5.5% per year, compounded monthly. How much will they have to spend on a car after 4 years?
having just turned 16 years old, your friend has their mind set on buying a new car by the time they turn 20 years old
7x-5=30
I need this explained for me please
Step-by-step explanation:
7x-5=30
Firstly -5 will cross the equality sign and become +5. so we'll have
7x=30+5=35
7x=35 we'll divide both sides by 7
giving u
7x/7=35/7
=x=5
therefore x=5.
CONFIRMATION
7*5-5=30
PLS MARK ME AS BRAINLIEST
Answer:
x = 5.Step-by-step explanation:
Solve for X:
7x - 5 = 30= 7 * x= 7(5)= 35 - 5= 30x = 5.Hence, answer is x = 5.Please help ASAP Due in a week! Marking Brainliest!
Answer:
what's due in a week?
Step-by-step explanation:
I will help btw.. ;)
Answer:
There is nothing here it is blank????
What do you need help with?
Step-by-step explanation:
Solve for x
4( 3x - 5) = -2(-x + 8) - 6x
Answer:
Step-by-step explanation:
12x - 20 = 2x -16 - 6x
12x - 20 = -4x - 16
16x - 20 = -4x
20x = 20
x = 1
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
integral.gif C (3y + 7e^sqrt(x)) dx + (8x + 5 cos y^2) dy
C is the boundary of the region enclosed by the parabolas y = x2 and x = y2
On solving the provided question, From the question, our region is defined by: lower bound: y= \(x^2\) and upper bound: y = \(\sqrt{x}\)
what is integration?Integrals are mathematical representations of numbers and functions that express notions such as volume, area, displacement, and other outcomes of the combination of little data. Finding integrals is the term used to describe the procedure.
By green's theorem -
\(\int\limits^{}_{} {} \, \int\limits^{}_{a} {5dA} \, = 5/3\)
First, the integral given in this exercise corresponds to:
\(\int\limits^{}_{C} {((3y + 7e\sqrt{x}dx) +( 8x+ 5cos(y^2)) } \, dy\)
Greens Theorem given as,
\(\int\limits^{}_{C} {(P(x,y)dx +Q(x,y)dy)} \, = \int\limits^{}_{} {x} \, \int\limits^{}_a {(-\beta /\beta _{y} )P(x,y) + (\beta /\beta _{y} )Q(x,y)} \, dA\)
and we have -
P(x,y) = 3y + \(7e^{\sqrt{x}}\)
Q(x,y) = 8x + 5cos(\(y^2\))
And,
\(\int\limits^{}_{C} {(P(x,y)dx +Q(x,y)dy)} \, = \int\limits^{}_{} {x} \, \int\limits^{}_a {5dA} \, dA\)
From the question, our region is defined by:
lower bound: y= \(x^2\)
upper bound: y = \(\sqrt{x}\)
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The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
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in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)
The value of the resistor needed in this scenario is approximately 1.2 ohms.
To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.
Using Ohm's Law, we have the formula:
V = I * R
Where:
V is the voltage across the resistor (12 volts in this case),
I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),
R is the resistance of the resistor (which we need to find).
Rearranging the formula, we have:
R = V / I
Plugging in the values:
R = 12 volts / 10 amps
R = 1.2 ohms
Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.
It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.
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Find the shortest distance between the line L1 passing through the points A =
(3, 2, 1) and B = (2, 1, 0) and the line L2 passing through the points C = (2, 4, −1) and
D = (3, 0, −2).
The shortest distance between the two lines L1 and L2 is 0.
How did we get the value?The shortest distance between two lines can be found using the cross product of their direction vectors.
The direction vectors of line L1 and L2 can be found as:
L1 = B - A = (2 - 3, 1 - 2, 0 - 1) = (-1, -1, -1)
L2 = D - C = (3 - 2, 0 - 4, -2 - (-1)) = (1, -4, -3)
The cross product of the direction vectors of L1 and L2 gives the normal vector to the plane formed by the two lines:
cross(L1, L2) = (1 + 4, -1 - 4, 3 + 1) = (5, -5, 4)
The normal vector of the plane formed by the two lines, and a point on line L1 (A = (3, 2, 1)), can be used to find the equation of the plane:
5x - 5y + 4z = d
5 * 3 - 5 * 2 + 4 * 1 = d
15 - 10 + 4 = d
9 = d
So the equation of the plane formed by the two lines is:
5x - 5y + 4z = 9
The shortest distance between the two lines is equal to the distance between a point on line L1 (A = (3, 2, 1)) and the plane formed by the two lines:
d = abs(9 - (5 * 3 - 5 * 2 + 4 * 1)) / sqrt(5^2 + (-5)^2 + 4^2)
d = abs(9 - 9) / sqrt(29)
d = 0 / sqrt(29)
d = 0
Therefore, the shortest distance between the two lines L1 and L2 is 0.
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r(theta)=sec^2(theta)-cos(2theta)-1 , (0,pi/2)
show that the function has exactly one zero in the given interval.
Answer: To show that the function has exactly one zero in the given interval, we need to show that the function changes sign exactly once on the interval.
First, we can see that the function is continuous on the interval (0, pi/2) as it is a polynomial of trigonometric functions.
Next, we can evaluate the function at the endpoints of the interval:
R(0) = sec^2(0) - cos(0) - 1 = 1 - 1 - 1 = -1
R(pi/2) = sec^2(pi/2) - cos(pi) - 1 = undefined
We can see that R(0) is negative, and since the function is continuous on the interval, by the Intermediate Value Theorem, the function must pass through zero at some point in the interval.
To show that it passes through zero only once, we can take the derivative of the function:
R'(theta) = 2sec^2(theta)sin(theta) + 2sin(2theta)
We can see that R'(theta) is positive for all theta in the interval (0, pi/2), as sec^2(theta) and sin(theta) are positive and sin(2theta) is non-negative. Therefore, the function R(theta) is strictly increasing on the interval, and can cross the x-axis at most once.
Thus, we have shown that the function R(theta) has exactly one zero in the interval (0, pi/2).
Step-by-step explanation:
Help me with this answer please!
could you describe the expression 2(3+4) as a product of two factors explain
The expression 2(3+4) can be expressed as 2×7
What are factors?A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.
For example the factors of 8 are 1,2,4,8. i.e 1×8=8, 2×4= 8
considering the expression 2(3+4), the value is 2(7)= 14
Therefore the expression can be expressed as product of two factors (2 and 7) as 2×7.
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To sell an additional kilogram of snig, how much does the price need to decrease?
Hello. This question is incomplete. The full question is:
There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is:
p=300−4x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Bozat.
To sell an additional kilogram of snig, how much does the price need to decrease? Price needs to decrease by Bozats.
Answer:
It is necessary to decrease 4 bozats in the price so that an additional 1 kq of snig can be sold.
Step-by-step explanation:
You can achieve this result through a very simple and straightforward calculation.
First it is necessary that you assume the equation (x + 1) for X. This way you will have the mathematical expression:
300-4 (X + 1) = 300-4x-4.
pls answer if wrong i ban you
The coordinates of L are: (8,-4)
Here, triangle is rotated 270° counterclockwise. So the rule that we have to apply here is
(x, y) → (y, -x)
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
(x, y) → (y, -x)
L(4,8) → L'(8.-4)
M(4,3) → M'(3,-4)
N(8,8) → N'(8,-8)
Vertices of the rotated figure are:
L'(8.-4) M'(3,-4) N'(8,-8)
Hence we get the desired result.
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Find length MP
Please help;)
Answer:
MP = 19
Step-by-step explanation:
17+3y=5y+9
or, 17-9 = 5y-3y
or, 8=2y
so, y = 2
Now,
MP = 5y+9
or, MP = 5×2+9
or, MP = 10+9
so, MP = 19
There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random. What is the probability of choosing neither white nor green
Answer: 5/8
Step-by-step explanation:
i just added all of them & took out the white and green balls ......... oh and i also simplified itAnswer:
The probability is 5/8
Step-by-step explanation:
First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.
Hope this helps!!
What’s the rate of change for the company? (Math homework)
Answer:
I think its 10
Step-by-step explanation:
the numbers go down by 10
if the point ( -2 2 ) is reflected across the y-axis what is the new coordinates
The new coordinates of the reflected point will be (2, 2).
Reflection:
In mathematics, reflection is a transformation that "flips" an object over a line or plane. Reflection is a type of symmetry, where an object appears exactly the same after being reflected as it did before.
When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.
Here we have
The point (-2, 2) is reflected across the y-axis
When a point is reflected across the y-axis, its x-coordinate changes sign while its y-coordinate remains the same.
The new coordinate of the point = (-(-2), 2) = (2, 2)
Therefore,
The new coordinates of the reflected point will be (2, 2).
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w/ solution please thanks
Answer:
x=-5, y=-2
Step-by-step explanation:
2x+4y=-18 (1)
5x-10y=-5 (2)
apply 5×(1)+2×(2)
10x+20y=-90 (3)
10x-20y=-10 (4)
by adding (3) and (4)
20x=-100
x=-5
put the value of x in (1)
we get 2×(-5)+4y=-18
⇒y=-2
After solving the given equations, the value of x and y are -5 and -2 respectively.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, we have the equations:
2x+4y=-18 (1)
5x-10y=-5 (2)
Apply as follows: 5×(1)+2×(2)
10x+20y=-90 (3)
10x-20y=-10 (4)
After adding (3) and (4):
20x=-100
x=-5
Insert the value of x in (1) as follows:
We obtain: 2×(-5)+4y=-18
⇒y=-2
Therefore, after solving the given equations, the value of x and y are -5 and -2 respectively.
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how many like terms are in the expression 4j^2 +3j^2-9j^2
Answer: 16j^3+2
Step-by-step explanation:
please help!! i need someone to write me an equation for this please!
A giraffe was born
measuring 11/2
meters tall. After 6
months, it had grown
60 centimeters. By
the end of the year, it
had grown another 72
centimeters. How
many centimeters tall
is the giraffe now?
I run 3 miles in 20 minutes. What was my average speed in miles per hour?
The graph of an eclipse is shown. Which equation represent the eclipse?
Answer:
(y-4)^2/12^2 + (x-2)^2/6^2 =1
Step-by-step explanation:
A rectangular swimming pool is 17 meters long, 10 1 2 meters wide, and 2 1 2 meters deep. What is its volume?
Volume is a three-dimensional scalar quantity. The volume of the pool is 446.25 meters³.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the pool can be written as,
Volume = 17 meters × 10 1/2 meters × 2 1/2 meters
= 17 × 10.5 × 2.5 meters³
= 446.25 meters³
Hence, the volume of the pool is 446.25 meters³.
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Ver en español
Pam, the CEO of Zettabyte Tek, set up a $750,000 education fund. She wants to give each employee who takes a computer security class a $350 reimbursement toward the cost of the class. You can use a function to describe the amount of money left in the fund after x employees receive the reimbursement.
Write an equation for the function. If it is linear, write it in the form f(x)=mx+b. If it is exponential, write it in the form f(x)=a(b)x.
The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).
What does a simple equation represent?An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.
Workers who complete the computer security course will each receive a reimbursement of $350.
We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.
Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.
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please help! (listing BRAINLIST and giving points) :)
Answer:
\(x=7.8\)
Step-by-step explanation:
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse.
The angle marked 33 degrees has its opposite side labelled with \(x\) and the hypotenuse of the triangle labelled with 12.
Thus, we can set up the following equation to solve for \(x\):
\(\tan 33^{\circ}=\frac{x}{12},\\x=12\tan 33^{\circ}=7.79289111837\approx \boxed{7.8}\)
Answer:
Step-by-step explanation:
tan(33°) = x/12
x = 12tan(33°) ≈ 7.79
Ted's rectangular corn field has an area of 2,280 square feet. What is the length of the field if it's width measures 28.5 feet?
Answer:
80 feet
Step-by-step explanation:
Area = length x width
We need to find length
\(2280 = 28.5l\)
divide both sides by 28.5
\(l = 80\)