Answer:
To stay within budget, she must use 4.5 gigabytes.
Step-by-step explanation:
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month.
First, we need to establish the total cost formula:
Total cost= 58.5 + 4*x
x= number of gigabytes
Now, we isolate x:
76.5= 58.5 + 4x
18/4= x
4.5= x
To stay within budget, she must use 4.5 gigabytes.
Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help
Answer:
Domain: [0, 4]
Range: [0, 4]
Function? Yes
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Vertical Line Test - no function can have the same x-value for different y-coordinatesStep-by-step explanation:
According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
Since we see that each x-value has a unique y-value and passes the vertical line test.
∴ the relation is a function.
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.
What is the point on the unit circle for the angle below? Help Res 60° (1.0) 2 ?] 2 ) 9 2 Enter
Answer:
1 and 3
Step-by-step explanation:
Answer:
The answer is
[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]
Step-by-step explanation:
Let The point (X, Y)
Since half of the diameter is equal to 1
Then
[tex] {x}^{2} + {y}^{2} = 1[/tex]
Why is the measurement of angle is equal to 60, this triangle was equal
Then
[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]
By comparing the equals together
[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]
If the area of a square with side x is equal to the area of a triangle with base x, then find the altitude of the triangle.
Answer:
[tex]h= 2x[/tex]
Step-by-step explanation:
Given
Square
[tex]Side = x[/tex]
Triangle
[tex]Base = x[/tex]
[tex]Altitude = h[/tex]
Required
Find h, if both shapes have the same area
The area of the square is:
[tex]Area = x * x[/tex]
[tex]Area = x^2[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} * Base*Height[/tex]
[tex]Area = \frac{1}{2} * x*h[/tex]
Equate both areas
[tex]x^2 = \frac{1}{2} * x*h[/tex]
Divide both sides by x
[tex]x = \frac{1}{2} *h[/tex]
Multiply both sides by 2
[tex]2*x = \frac{1}{2} *h*2[/tex]
[tex]2x = h[/tex]
[tex]h= 2x[/tex]
A rectangular piece of land has an area of 3/4 square mile. The land is 2 1/2 miles long. What is its width
Given:
A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.
The land is [tex]2\dfrac{1}{2}[/tex] miles long.
To find:
The width of the rectangular land.
Solution:
We have,
Area of a rectangle = [tex]\dfrac{3}{4}[/tex] square mile.
Length = [tex]2\dfrac{1}{2}[/tex] miles
We know that, area of a rectangle is
[tex]A=l\times b[/tex]
[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]
[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]
[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]
Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get
[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]
[tex]\dfrac{6}{20}=b[/tex]
[tex]\dfrac{3}{10}=b[/tex]
Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.
please answer asap i really need to know
Answer: ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm WHAT IS THIS!!!!!!!!!!!!!! THIS IS NOT MATH I MEAN IT COLD BE AND WHAT GRADE MATH IS THIS!!!!!!!!!!!!!!!!!!!!!!!!
*_*
Step-by-step explanation:
14. What is the value of (15^4)^2/ 15^8
Answer:
1 is the answer to your question mate
how do i evaluate f(x)=-3x^2-5x+8
Answer: f(x)= -3x 2 -5x +8
Step-by-step explanation:
How many cups are in 4 gallons? With work!
Answer:
64 cups
Step-by-step explanation:
If 1 gallon is equal to 16 cups then 4 gallons will be 16×4= 64
Hope that helps you!
There are 1200 students at silver lake middle school 700 Are eighth graders what percent of the students are in the eighth grade round to the nearest 10th of a percent
Radius of the circle is 20cm. there are two chords of lengths.
32cm, what will be the dis-
tance of these chords from
the centre of the circle?
9514 1404 393
Answer:
12 cm
Step-by-step explanation:
The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.
The chords are 12 cm from the center.
_____
You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...
c² + d² = r²
16² + d² = 20²
d² = 400 -256 = 144
d = √144 = 12 . . . . . cm
CAN SOMEONE HELP MEEE PLEASEE!!
Answer:
D.6h+18
Step-by-step explanation:
6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?
Answer:
86
Step-by-step explanation:
add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86
how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?
Answer:
The anwer is below.
Step-by-step explanation:
To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.
an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5
To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.
an example : 5,7, 8, 4 = 4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6
To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.
An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to
To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.
An example 5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4
x=-y+3,3x-2y=-1 use substitution to solve the equation
Answer:
{x,y} = {1,2} I believe <3
Step-by-step explanation:
Answer:
3x - 2y = -1
[2] x + y = 3
Step-by-step explanation:
Peter wrote five numbers. Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose that all apply 56, 52, 42, 35, 27,
Answer:
56
42
35
Step-by-step explanation:
simplify the product.
[tex]10\sqrt{12x^{3} } . 2\sqrt{6x^{5} }[/tex]
full calculations please!!
Answer:
[tex]120x^4\sqrt{2}[/tex]
Step-by-step explanation:
First we need to break down the numbers in the radicals into its factors
so
12= 3*2*2
x³=x*x*x
Which means we have
[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]
and
[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]
Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here
which means we have
[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]
Write an equation in slope intercept form given m=2 and b=1
The product of c and 8 is greater than or equal to - 16.
HELPPPPP
-41 = -2/5(45n+60) + n
please show your work, i’ll mark as brainliest
Answer:
n = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-41 = -2/5(45n + 60) + n
Step 2: Solve for n
Distribute -2/5: -41 = -18n - 24 + nCombine like terms: -41 = -17n - 24[Addition Property of Equality] Add 24 on both sides: -17 = -17n[Division Property of Equality] Divide -17 on both sides: 1 = nRewrite/Rearrange: n = 1Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: -41 = -2/5(45(1) + 60) + 1(Parenthesis) Multiply: -41 = -2/5(45 + 60) + 1(Parenthesis) Add: -41 = -2/5(105) + 1Multiply: -41 = -42 + 1Add: -41 = -41Here we see that -41 does indeed equal -41.
∴ n = 1 is the solution to the equation.
A class has a ratio of 1: 2 girls to boys. A class has a ratio of 1: 2 girls to boys.
a) What fraction are girls?
b) What fraction are boys?
c) If there are 10 girls in the class, how many boys are there
Answer:
Attached
Step-by-step explanation:
Please plz help angles inside circles. and segments
Answer:
the third one
Step-by-step explanation:
Answer:
The 3rd
Step-by-step explanation:
1. Find the factored form of f(x) given it has x-intercepts (-3,0) and (4,0) and f(1)= -6. 2. Find the equation for f(x) given that it has roots of 2 and -3 and f(0)=12. Please someone help
Answer:
1) f(x) = 0.5*(x + 3)*(x - 4)
2) f(x) = -2*x^2 - 2*x + 12
Step-by-step explanation:
Wen we have a quadratic function like:
f(x) = a*x^2 + b*x + c*x
And it has roots at x1 and x2, we can write the function in the factored form as:
f(x) = a*(x - x1)*(x - x2)
then:
1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6
we have:
x1 = -3
x2 = 4
then we can write f(x) as:
f(x) = a*(x - (-3))*(x - 4)
f(x) = a*(x + 3)*(x - 4)
Where a is a real number.
and now we can use the fact that f(1) = -6
then:
f(1) = a*(1 + 3)*(1 - 4) = -6
a*4*(-3) = -6
a*-12 = -6
a = -6/-12 = 1/2 = 0.5
Then the function is:
f(x) = 0.5*(x + 3)*(x - 4)
2) Now we have roots x = 2 and x = .3
Then:
x1 = 2
x2 = -3
Then this function is something like:
f(x) = a*(x - 2)*(x - (-3))
f(x) = a*(x - 2)*(x + 3)
Now we know that f(0) = 12.
then:
f(0) = a*(0 - 2)*(0 + 3) = 12
a*(-2)*3 = 12
a*(-6) = 12
a = 12/-6 = -2
f(x) = -2*(x - 2)*(x + 3)
And we do not want this one written in factored form, so we can just distribute the multiplications to et:
f(x) = -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12
f(x) = -2*x^2 - 2*x + 12
how to solve this please help and ill give brainlest to ppl
(d) Find the value of k so that kx + 5y = 10 makes an angle of 30° with y-axis.
Answer: k = -8.66
Step-by-step explanation:
We have the equation:
k*x + 5*y = 10
First, let's rewrite this as a line in the slope-intercept form:
5*y = 10 - k*x
y = 10/5 - (k/5)*x
y = -(k/5)*x + 2
Now, we want to make an angle of 30° with respect to the y-axis.
Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.
To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)
y = -(k/5)*5 + 2
y = -k + 2
then the cathetus of our triangle will be:
adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k
opposite cathetus: x = 5.
Now we know the relation:
Tan(a) = (opposite cathetus)/(adjacent cathetus)
where a = 30°
Then:
Tan(30°) = 5/(-k)
-k = 5/tan(0.577) = 8.66
k = -8.66
This is the value of k that we wanted to find.
-16+ x= -15
Need this answer
Answer:
x=1
Step-by-step explanation:
Add
16
to both sides of the equation.x=−15+16 Add −15 and 16.x=1
Answer:
Step-by-step explanation:
-16 + x = - 15
Add 16 to both sides
-16 + 16 + x = -15 + 16
x = 1
A dozen eggs cost $2.49. What is the cost per egg?
Answer:
i think its $0.20
Step-by-step explanation:
12 1
------ = ---------
2.49 0.20
1 egg = $0.20
If the sum of two numbers is 5 and their product is 6 then find the sum of the square of the numbers ?
PLEASE HELPPPPP........
Answer:
The numbers are 2 and 3. 2^2+3^2=4+9=13
Step-by-step explanation:
Answer:
13 is your answer.
let two no. be x and y
by question
x+y=5
x=5-y...........(1)
xy=6.............(2)
putting the value of x in equation 2) we get
(5-y)y=6
5y-y²=6
y²-5y+6=0
y²-3y-2y+6=0
y(y-3)-2(y-3)=0
(y-3)(y-2)=0
either
y=3
or
y=2
putting the value of y in equation 1
when y=3
x=5-3=2
when
y=2
x=5-2=3
now
when
x=3 y=2
the sum of the square of the numbers=x²+y²=3²+2²=9+4=13
Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?
Answer:
$4,675
Step-by-step explanation:
The commission is 5.5% of $85,000.
5.5% * $85,000 =
= 0.055 * $85,000
= $4,675
Answer:
$4675
Step-by-step explanation:
85,000 x .055 = 4,675
Hope that helps!
can someone plz help me?
Answer: x = 2
Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2
answer
1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.