Answer:
d = 7.2
Step-by-step explanation:
We can cross multiply the equation to get:
6 * 30 = 25 * d
(* is multiplication sign by the way)
180 = 25d
Divide both sides by 25 to get:
d = 7.2
14. What is the value of (15^4)^2/ 15^8
Answer:
1 is the answer to your question mate
Can someone explain how to do this worksheet? when graphing the lines they don't seem to intersect with a UFO.
Answer:
There are 2 equations together in each box, so what you need to do is graph them both. Then see where they intersect, that will be where the ufo they shot is. For example On the first two set of equations (y=x+6 & y=-x-4) when graphed together they intersect at (-5,1) which is where ufo 6 is. Meaning they shot Ufo 6
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
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.
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:
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]
Which situation is a true statement about payment options?
CLEAR CHECK
A, An advantage of online banking is that you do not need to keep detailed records when paying bills.
B, Paying with a credit card means the amount you spend will be deducted from your checking account.
C, Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.
D, To avoid paying interest on your credit card purchases, pay on
Answer:
C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.
Step-by-step explanation:
Correct on TTM
Answer:
C
Step-by-step explanation:
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.
100 POINTS can someone help please??
I need to rewrite this poem into an adaptation(simple words easier to understand) and I am struggling
Answer:
i dunno
Step-by-step explanation:
Answer:
i had done already.thanks for 50 points
Which property is used in the problem below?
2(x+4)=2x+8
Answer:
You would use the distributive property.
Step-by-step explanation:
2(x+4) = 2x+8
2x+8x = 2x+8
10x = 2x+8
10x - 2x = 2x-2x+8
8x = 8
8x/8 = 8/8
x = 1
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!
Monday, February 8
Jeff and Marcia own a llama farm.
On their farm, they have 240 llamas. Each llama they sell earns them a $325.00 profit.
If they were to sell 3/5 of their llamas, how much total profit would they make?
(Show your Work.)
A. $31,200.00
B. $46,800.00
C. $62,400.00
D. $78,000.00
A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the product? A: C = $0.75 × 4 + 5 B: C = 5 × ($0.75 × 4) C: C = ($0.75 + 4) × 5 D: C = ($0.75 × 5) + 4
Answer: b. C = 5 × ($0.75 × 4)
Step-by-step explanation:
Note that 4 quarts = 1 gallon
Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:
= 5 × ($0.75 × 4)
= 5 × $3
= $15
(05.01)
Which equation can be used to calculate the area of the shaded triangle below? (5 points)
(Answers in photo)
Answer:
answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.
(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.
Imagine a clock face. The x-axis passes through the numbers 3 and 9. The y-axis passes
through the numbers 12 and 6.
When it is 5:00 p.m., the hour hand points at the number 5. If the hour hand is reflected
across the x-axis, what number will it point at?
Answer:
8
Step-by-step explanation:
i did that answer and i got it right
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
A rectangular room is 3 times as long as it is wide, and its perimeter is 48 meters. Find the dimension of the room.
The length is : _____ meters and the width is ______ meters.
The length and width are 18 meters and 6 meters respectively.
Given that
The perimeter of the rectangle is 48 meters.The width be x.The length be 3x.We know that
The perimeter of the rectangle be
48 = 2 (length + breadth)
48 = 2(3x + x)
48 = 6x + 2x
48 = 8x
x = 6
So, the width is 6 meters.
And, the length be 18 meters.
Therefore we can conclude that The length and width are 18 meters and 6 meters respectively.
Learn more about the rectangle here: brainly.com/question/16167300
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.
The product of c and 8 is greater than or equal to - 16.
HELPPPPP
CAN SOMEONE HELP MEEE PLEASEE!!
Answer:
D.6h+18
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!
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:
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
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
how do i evaluate f(x)=-3x^2-5x+8
Answer: f(x)= -3x 2 -5x +8
Step-by-step explanation:
Consider the polynomial function q(x) = 3x^7 + 5x^5 - 8x^4 - 12x^2
What is the end behavior of the graph of q? PLEASE HELP PLEASE
Answer:
D
Step-by-step explanation:
If on khan
the graph is pasted
What is graph?A graph is a structure that resembles a set of items in mathematics, more specifically in graph theory, in which some pairings of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
To learn more about graphs refer to:
https://brainly.com/question/12272412
#SPJ2
-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.
Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
Answer:
A. All the colors in the rainbow.
Step-by-step explanation:
I think.
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