The function model that represents the amount of battery left after a period of time is y = 1 ₋ 10%x
Given, Miranda bought a new cell phone which is consuming battery at a rate of 5% for every half an hour.
We are required to establish a function model that depicts how much battery is remaining after a certain amount of time.
Let y represent the amount of battery left.
and x represent the number of hours.
Then 5% per half an hour = 5% × 2 = 10%
Now frame the function model:
The amount of battery left = 1 ₋ (rate percent at which battery is being consumed)(The number of hours left)
⇒ y = 1 ₋ 10%(x)
⇒ y = 1 ₋ 10%x
As a result, we obtained the function model for the battery's remaining capacity as y = 1 ₋ 10%x
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Which of the following is a radical equation?
+√√√5 = 12
X+N
O x² = 16
O 3+x√√√7=13
07√√x=14
The radical equation among the following equations will be 7√ x = 14 as it is the only equation that has a radical variable that is √ x.
A radical equation is an equation which has at least one variable to be put on in a radical form.
In this question, we have only one kind of variable which is x. So, we will only analyze that variable only.
Now, we need to find the equation where x is in the radical form.
The radical form can be expressed with square root symbol.
The option with √ x would be only 7√ x = 14.
Therefore, the radical equation among the following equations will be 7√ x = 14 as it is the only equation that has a radical variable that is √ x.
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Your question was incomplete. Please refer the content below.
Which of the following is a radical equation? x+√5=12
x^2=16
3+x√7=13
7√x=14
find the perimeter of rhombus with vertices p(-2, -3) ,Q(1,1) ,R(4,-3),S(1,-7).
The perimeter of a rhombus with vertices p(-2, -3) ,Q(1,1) ,R(4,-3),S(1,-7). is 20 units
What is a rhombus?A rhombus is a quadrilateral that has all its sides equal to each other.
The rhombus has 4 sides and all it sides are equal.
Therefore,
perimeter of a rhombus = 4l
where
l =lengthTherefore,
using p(-2, -3) ,Q(1,1)
l = √(1 + 3)² + (1 + 2)²
l = √4² + 3²
l = √16 + 9
l = √25
l = 5 units
Therefore,
perimeter of the rhombus = 4(5) = 20 units
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What is the lowest form of this fraction 640/1000
Answer:
16/25
Step-by-step explanation:
Factor 40 out of 640 and 1000
This leaves you with 16 and 25.
Answer:
16/25
Step-by-step explanation:
640/1000
64/100
(divide 4/4)
16/25
Find the value of the variable in the isosceles trapezoid.
The value of the variable in the isosceles trapezoid is 24.
Calculation of the value of the variable:Since the measure of one angle should be 63 degrees
And, there is the equation 2x + 15 degrees
So for determining the value of x here we have to equate the equation
So,
2x + 15 = 63
2x = 63 - 15
2x = 48
x = 24
Therefore, The value of the variable in the isosceles trapezoid is 24.
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The number -26/99 is rational
Answer:
Correct!
Step-by-step explanation:
Rational numbers can be expressed as fractions of integers. Negative 22 and 99 are both integers, therefore the number is rational!
b = 2c + 6 what is the function?
Answer:
2c put me as brainlest
Step-by-step explanation:
Let's solve for c.
b=2c+6
Step 1: Flip the equation.
2c+6=b
Step 2: Add -6 to both sides.
2c+6+−6=b+−6
2c=b−6
Step 3: Divide both sides by 2.
2c
2
=
b−6
2
c=
1
2
b−3
Answer:
c=
1
2
b−3
now if ur just looking for the funtipn the asnwer would be 2c i think
Answer:
B. -6+8d-2c C. -2c+8d-6
Step-by-step explanation:
In order to determine which expressions are equivalent to you need to set the expression equal to the options available.
7 apples cost 4.55 what cost per apples
Answer:
65 cents
Step-by-step explanation:
4.55/7=.65
Evaluate the expression: 6(4+ 9) -3²|+2
Answer:
69
Step-by-step explanation:
First add the numbers in brackets
6x13-3^2(that means squared)
Evaluate the power
6x13-9
Multiple
78-9
And calculate
the answer is 69
In the expression 3x the letter x is a
This is past due I need help will give brainlist
Answer:
A
Step-by-step explanation:
Write a system of linear equations for the problem and solve the system using an augmented matrix and your calculator.
Mike works a total of 59hr per week at his two jobs. He makes $8 per hour at job A and $9 per hour at job B. If his total pay for one week is $494 before taxes, then how many hours does he work at each job?
Answer: he works 37 hours in job A, and 22 hours in job B.
Step-by-step explanation:
Let's define the variables:
A = number of hours that he works at Job A
B = number of hours that he works at Job B.
We know that he works a total of 59hr per week, then we have:
A + B = 59
And we also know that he makes $494 in one week, then we have the equation:
A*$8 + B*$9 = $494.
Then we have the system of equations:
A + B = 59
A*$8 + B*$9 = $494
To solve this with an augmented matrix, we need to turn these equations into a matrix, where we only write the coefficients as follows:
[tex]\left[\begin{array}{cccc}1&1&I&59\\8&9&I&494\end{array}\right][/tex]
(The I's should represent a line for the augmented matrix, that line separates the values of the coefficients to the right value of each equation)
The first column represents the A coefficients, the second column represents the B coefficients.
To solve this, we want to get something of the form:
[tex]\left[\begin{array}{cccc}1&0&I&x\\0&1&I&y\end{array}\right][/tex]
Where x and y are our solutions.
To do it we can just do: Column 2 - 8*column 1, this will get us to:
[tex]\left[\begin{array}{cccc}1&1&I&59\\8 - 8*1&9 - 8*1&I&494 - 8*59\end{array}\right][/tex]
=
[tex]\left[\begin{array}{cccc}1&1&I&59\\0&1&I&22\end{array}\right][/tex]
Now we can do: Column1 - column2, to get
[tex]\left[\begin{array}{cccc}1 - 0&1 - 1&I&59 - 22\\0&1&I&22\end{array}\right][/tex]
[tex]\left[\begin{array}{cccc}1&0&I&37\\0&1&I&22\end{array}\right][/tex]
Then the solutions are:
1*A =37
1*B = 22
This means that he works 37 hours in job A, and 22 hours in job B.
giving brainliest !!!!!
Answer:
So, the triangles cannot be proven congruent
Step-by-step explanation:
Congruence Theorems
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
The triangles shown in the figure have two clear congruent angles as marked in red color. The third angles located at point P is also congruent because they are vertical angles or opposite angles.
Being all three angles of the same measure, it proves both triangles are similar, but not necessarily congruent. The side lengths may be of the same measure, but they could also be proportional.
So, the triangles cannot be proven congruent
Millie eats 1/3 of a packet of biscuits. She shares the rest between 3 friends.
What fraction of the original packet does each friend get?
Answer:
She gave 1/3 of the cookies to her neighbor ... Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. ... How many cookies did Jane's parents get if she gave them 3/4 of 16?
Step-by-step explanation:
On tuesday a local hamburger shop sold a combined total of 504 hamburgers and cheeseburgers. The number of cheeseburgers sold was 3 times the number of hamburgers sold. How many hamburgers were sold on tuesday?
Answer:
126
Step-by-step explanation:
Let the no. of hamburger be n
Then the no. of cheeseburgers = 3n
3n + n = 504
4n = 504
n = 504 / 4
n = 126
XZ is the angle bisector of angle WXy. solve for m. enter a number only
Answer:
m = 7
Step-by-step explanation:
An angle bisector is a line or ray that divides an angle into two equal angles
so ∠WXZ = ∠ZXY
10m - 28 = 5m + 7
10m - 5m = 7 + 28
5m = 35
m = 7
Subtract. Write the answer in lowest terms.
6 1/6 - 2 5/6
Answer:
61/6_25/6=61_25/6=36/6 we divide =6The answer is 6Step-by-step explanation:
Please mark my answer as a brainliest. Please follow me. ❤❤❤Answer:
3 1/6
Step-by-step explanation:
look on the attachment i sent
find the sum of of LCM and GCF of 15, 35, 56
Answer:
LCM sum: 3
GCF sum: 3
3 + 3 = 6
Step-by-step explanation:
Here I listed all the factors of each number:
15: 1, 3, 5, 15
35: 1, 5, 7, 35
56: 1, 2, 4, 7, 8, 14, 28, 56
As you can see, the LCM of these numbers is 1, since none of the other factors relate to all of the number's factors. This is also the only factor that all three of these numbers share.
1 + 1 + 1 = 3
The GCF of each of the numbers is also 1.
1 + 1 + 1 = 3
Hope this helps! :D
There is a line that includes the point (2, 10) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
which expression is equivalent to this polynomial expression? (8x^2y^2-9x^2y+9y) -(6x^2y-xy^2+4y) A.-7x^2+xy^2+5y B.8x^2y^2-3x^2y-xy^2+13y C.-7x^2y^2-xy^2+13y D 8x^2y^2-15x^2y+x^2+5y
Answer:
D. 8x²y² - 15x²y + xy² + 5y
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
Step 2: Simplify
Distribute negative: 8x²y² - 9x²y + 9y - 6x²y + xy² - 4yCombine like terms (x²y): 8x²y² - 15x²y + 9y + xy² - 4yCombine like terms (y): 8x²y² - 15x²y + xy² + 5yJoe's salary in 2001 was $32,600. In 2002, he received a raise of $1560. Assume he receives the same raise every year. Which function describes Joe's salary after 2001? What is Joe's salary in 2007?
Answer:
function i dont know im looking for the same answer but im pretty sure his salary is going to be 41,960 if you multiply the raise by 6 and 43,520 if you multiply the salary by 7
Step-by-step explanation:
The required Joe's salary will be represented by y = 32600 + 1560(x - 2001) and his salary in the year will be $41,960.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let Joe's salary after x years be y,
According to the question,
y = 32600 + 1560(x - 2001)
Now,
For year x = 2007
Joes income,
y = 32600 + 1560(2007 - 2001)
y = 32600 + 1560(6)
y = $41,960
Thus, the required Joe's salary will be represented by y = 32600 + 1560(x - 2001) and his salary in the year will be $41,960.
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3x-3+6 how many solutions would the equation have explain
Answer: 3x + 3
Step-by-step explanation:
You win $7,500 at month 40. Can you fully pay off either car? Explain.
in order to figure out if we can pay the car, we need to know how much it costs.
Step-by-step explanation:
There needs to be more explanation for people to help you, maybe tou can send a picture so someone can help you.
Two warning lights flash on the fences of Jurassic Park. One light flashes every 3 seconds. Another light flashes
every 4 seconds. How many times will they flash at the same time over the course of one minute?
Answer:
5 times
Step-by-step explanation:
Demos
Students were asked to choose their favorite subject. If 1/4 of the students chose social studies and 3/8 chose math, what fraction of students chose either social studies or math?
Answer:
20/32 students chose either math or social studies.
Solution:
1/4 is equivalent to 8/32 and 3/8 is equivalent to 12/32 if you add them you get 20/32.
Use the table below to answer the following questions.
Notebooks Cost
3
4
(Dollars)
$1.65
$2.20
$2.75
$3.30
5.
6
Solve for x.
Can anyone help me please?
Answer:
The answer is 1
Step-by-step explanation:
3-4= -1
-1+x= 1
5x-2y=-3 -2x-y=-6 método de reducción suma y resta con procedimiento y respuesta doy corona a quien me ayude en menos de media hora
Answer:
(1, 4)
Step-by-step explanation:
5x-2y=-3 -2x-y=-6 =>
5x-2y=-3
-2x-y=-6 Multiply all three terms by -2: 4x + 2y = 12
Then we have:
5x-2y=-3
4x + 2y = 12
---------------------
9x = 9 and so x = 1. Then, using -2x - y = -6, and substituting 1 for x:
-2(1) - y = -6, or
2 + y = 6, or
y = 4
Then the solution is (1, 4)
What is the axis of symmetry for the function y=-(x-3)^2+5
Answer:
x = 3
Step-by-step explanation:
This is in vertex notation which means that it is written in y = (x-h)^2 + k format where the vertex is (h,k). In this case the vertex is (3,2) which means that at the x-axis of 3, that is where the parabola is mirrored and is in fact the axis of symmetry
Find the difference. Show each step for full credit. Use ^ for exponents, for instance x^2 means x2
3n^3+ 4n^2 – 9 and -2n^3 + 4n – 9
The difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n
Given,
The two expressions are:
a = 3n³ + 4n² - 9
b = -2n³ + 4n - 9
We have to find a - b:
That is,
(3n³ + 4n² - 9) - ( -2n³ + 4n - 9)
Open the bracket and multiply (-) with the terms.
That is,
3n³ + 4n² - 9 + 2n³ - 4n + 9
Now solve the expression:
We get,
3n³ + 4n² + 2n³ - 4n
Add 3n³ and 2n²
Then,
5n³ + 4n² -4n
Therefore, the difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n
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if (x) = 3x^2 + 10, what is f(-7)
Answer:
f(x) = -139
Step-by-step explanation:
f(x) = 3x^2 + 10 If f(-7)
f(-7)= 3 * -7^2 + 10
F(-7) = 3 * -49 + 10
f(-7) = -147 + 10
f(-7) = -139
Answer:
-137
Step-by-step explanation:
3*(-7)2+103*-49+10-147+10-137