Answer:
No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.
Step-by-step explanation:
Solve the equation 3+
х
* = 10.
X=
Answer:
x=7
Step-by-step explanation:
subtracting 3 from both sides, you get x=7.
A business just took out a loan for $100,000 at 10% interest. If the business pays the loan off in three months, how much did the business pay in interest?
Answer:
$2,500
Step-by-step explanation:
The amount the business pay in interest can be calculated using the sinple interest formula as shown:
Simple Interest = Principal × Rate × Time/100
Given Principal = $100,000 (Loan)
Rate = 10%
Time (in years) = 3months = 3/12 years
Substituting the parameters into the formula we will have;
SI = 100,000×10×3/12×100
SI = 1000×30/12
SI = 30,000/12
SI = $2,500
Therefore the business pays an interest of $2,500
Which is the function of x?
Answer:
Step-by-step explanation:A function defines one variable in terms of another. The statement "y is a function of x" (denoted y = y(x)) means that y varies according to whatever value x takes on. A causal relationship is often implied (i.e. "x causes y"), but does not *necessarily* exist.
Find f(-5) and f(12) for each piecewise function f(x){-4x+3 if x<3
{-x^3 If 3<_x<_8
{3x^2+1 If x>8
The lines go under the inequality lol but please help !
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Explanation:
The given piecewise function is
[tex]f(x) = \begin{cases}-4x+3 \ \text{ if } \ x < 3\\-x^3 \ \text{ if } \ 3 \le x \le 8\\3x^2+1 \ \text{ if } \ x > 8\end{cases}[/tex]
At first piecewise functions may be strange confusing things, but they aren't so bad. I like to think of it like this: f(x) is a function that changes its identity based on what the input x is. We have three situations
f(x) = -4x+3 when x < 3f(x) = -x^3 when [tex]3 \le x \le 8[/tex]f(x) = 3x^2+1 when x > 8In a sense, we have three different functions but they are combined somehow.
If x is smaller than 3, then we go for the first definition. Or if x is between 3 and 8, then we go for the second definition. Or if x is larger than 8, then we go for the third definition.
-----------------------
f(-5) means f(x) when x = -5. We see that -5 is smaller than 3, so x = -5 makes x < 3 true. We'll use the first definition
f(x) = -4x+3
f(-5) = -4(-5)+3
f(-5) = 20+3
f(-5) = 23
------------------------
Now the input is x = 12. This is larger than 8. In other words, x = 12 makes x > 8 true. We'll use the third definition
f(x) = 3x^2+1
f(12) = 3(12)^2+1
f(12) = 3(144)+1
f(12) = 432+1
f(12) = 433
------------------------
Side notes:
We won't use the second definition since we don't have any x inputs between 3 and 8To say "less than or equal to" on a keyboard, you can write "<=" without quotes. For example, [tex]x \le 5[/tex] is the same as x<=5find x (I really need help)
7x-6=5x+18
Steps to solve:
7x - 6 = 5x + 18
~Add 6 to both sides
7x = 5x + 24
~Subtract 5x to both sides
2x = 24
~Divide 2 to both sides
x = 12
Best of Luck!
How do you convert a fraction to a decimal?
Answer:
To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.
The list below shows the number of medals that one nation's team won at the Olympics. What is the ratio of gold medals to the total number of medals that the team won? Gold 34 Silver 30 Bronze 39
Answer:
34:103
Step-by-step explanation:
Add up all the numbers and then put gold then : then the numbers added up
A proportion exists an equation that sets two ratios at the same value.
34 : 103 exists the ratio of gold medals to the total number of medals that the team won 103.
What is the difference between ratio and proportions?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. A ratio is a comparison between two values. A ratio is created when two ratios are equal.
If a ratio depicts the same relationship, it is proportionate. Two ratios can be written as fractions and then reduced to determine if they are proportionate to one another. You have proportionate ratios if the reduced fractions are equal.
Use ratios to compare two things.
The formula for the ratio of any two quantities is expressed as
a : b ⇒ a/b.
On the other hand, the proportional formula is
a : b :: c : d ⟶ ab = cd
a : b :: c : d ⟶ ab = cd
Types of proportion
Direct proportionReverse proportioncompound proportionContinued proportion34 : 103 exists the ratio of gold medals to the total number of medals that the team won 34 + 30 + 39 = 103
Add up all the numbers and then put gold then : then the numbers added up
To learn more about ratio and proportions, refer to:
https://brainly.com/question/12024093
#SPJ2
Which number is rational ?
Answer:
d) Root 16 is rational
Step-by-step explanation:
Root 16=4
4 is rational
Therefore root 16 is rational
AYUDEEEEEEEEEEEEEENME EESS PARA HOY!!!!
Answer:
(x+3)(x-3) = x²-9
(a+4)(a-4) = a²-16
(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16
(2x²+3y³)(2x²-3y³) = 4x^4-9y^6
(b-2)(b-2)(b-2) = b³-6b²+12b-8
Step-by-step explanation:
(x+3)(x-3) = x²-9
(a+4)(a-4) = a²-16
(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16
(2x²+3y³)(2x²-3y³) = 4x^4-9y^6
(b-2)(b-2)(b-2) = b³-6b²+12b-8
Which percent is equivalent to 2.5?
2.5%
25%
250%
2,500%
Please hurry
Move the decimal point 2 spots to the right to go from 2.5 to 250%
Another example would be that 0.76 converts to 76%
Answer:
c
Step-by-step explanation:
What is the answer to the equation x+x/7+1/11(x+x/7)=60
Answer:
x=385/8 decimal form is 48.125
Step-by-step explanation:
Help me I need the answer ASAP ! Aundrea painted the background of a square mural on the wall using 138ft^2 of paint .which measurement is closest to the side length of this mural in feet ?
A.69 ft
B.12 ft
C.139 ft
D.35 ft
Hey there! I'm happy to help!
Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!
If we plug this into our calculators...
√138≈11.74734
We see that is closest to B. 12 ft.
You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.
Have a wonderful day! :D
For f(x)=4x+1 and g(x) x2-5, find (g/f)
Answer:
(f+g) (x)=x^2+4x-4
Step-by-step explanation:
add them together
f(x)+g(x)
14x+1+x^2-5
x^2+4x-4
(f+g)(x)+x^2+4x-4
Carol walks a circular path with a radius of 280 yards at the local park. How far does she walk? round your answer to the nearest tenth.
Answer:
1508.6
Step-by-step explanation:
circumference=2πr
=2×22/7×240
=1508.57
=1508.6
Saira is using the formula for the area of a circle to determine the value of LaTeX: \piπ. She is using the expression LaTeX: Ar^{-2}\:A r − 2where LaTeX: A\:=\:50.265\:A = 50.265and LaTeX: r\:=\:4\:r = 4. Use a calculator to evaluate Saira's expression to find her approximation for the value of LaTeX: \pi\:πto the nearest thousandth.
Given:
Area of a circle, A=50.265 sq. units.
Radius of circle, r = 4 units.
To find:
The value of π to the nearest thousandth.
Solution:
Formula for area of a circle is
[tex]A=\pi r^2[/tex]
[tex]\dfrac{A}{r^2}=\pi [/tex]
[tex]Ar^{-2}=\pi [/tex]
Now, using [tex]Ar^{-2}[/tex] expression, we can find the value of π.
[tex]\pi=50.265904(4)^{-2}[/tex]
[tex]\pi=\dfrac{50.265904}{4^2}[/tex]
[tex]\pi=\dfrac{50.265904}{16}[/tex]
[tex]\pi=3.141619[/tex]
Approximate the value to the nearest thousandth (three digits after decimal).
[tex]\pi\approx 3.142[/tex]
Therefore, the approximated value of π is 3.142.
Write an equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11
Answer:
y=4x-26
Step-by-step explanation:
First, a parallel equation, ALWAYS has the same slope. Just plug in your x value into 4(x) , then find a number that adds or subtracts to get your y value, and that number you added or subtracted is your y-intercept.
The equation of the line passing through the point (6,-2) that is parallel to the line y=4x-11 is y = 4x - 26
The equation of the linear passes through the point (6, -2) and is parallel to the line y = 4x - 11
Parallel lines have the same slope.
Therefore,
y = 4x - 11
using
y = mx + b
where
m = slope
b= y-intercept
Therefore, the slope of y = 4x - 11 is 4.
And the slope of the other line will be 4 because they are parallel.
Therefore,
y = mx + b
y = 4x + b
it passes through (6, -2)
-2 = 6(4) + b
-2 - 24 = b
b = -26
The equation will be y = 4x - 26
learn more on linear equation here: https://brainly.com/question/19954463
1. On which road would there be a larger standard deviation in speed: a backroad or an interstate? Justify your answer
Answer:
Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given
Step-by-step explanation:
Math problem giving brainlist and points!!
Answer:
It would be B
Step-by-step explanation:
please answer quickly!
Answer:
tanx
Step-by-step explanation:
tan=TOA
opp/adj
x=p/r
negative exponents 3-3 x 3-2
Answer:
3^-5
Step-by-step explanation:
Whenever you multiply exponents, you add the values. Negative two plus negative three results in an answer of negative five. This will be the power. You will end up with 3^-5 as your answer.
Hey guys i was wondering if i could get some help
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Explanation:
The given piecewise function basically means we have h(x) defined in two different ways based on what x is
If x is less than 2, then h(x) = 4 - x^3 which is what the first row says
Or
If x = 2 or larger, then h(x) = 2x-3 which is what the second row says.
---------
We want to find h(0). We want to find h(x) when x = 0. We'll use the first definition since x = 0 is less than 2.
h(x) = 4 - x^3
h(0) = 4 - (0)^3
h(0) = 4 - 0
h(0) = 4
A new television set was recently purchased for a common room in a residence hall for $408.00 including tax. If the tax rate is 2%, find the price of the television set before taxes
Answer:
$400
Step-by-step explanation:
To solve this, we need to understand how one reaches the final price. The general formula for final price (with tax) is:
t(c) = p x (1+t)
t(c) is total cost
p is price
t is tax rate as a decimal
To find p, we need to create a new formula. Since we have the total cost ($408) and the tax rate (2% or .02), we can divide the total cost by 1 + the tax rate to solve for the price:
t(c) / (1+t) = p
408 / (1+.02) = $400
I hope this helps!
-TheBusinessMan
2^2+4^2+6^2......50^2
Answer:
422,500
Step-by-step explanation:
Since ^2 is comman
(2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50) ^2
= 650^2
=422,500
Hope this is correct plzz mark brainliest
plz help i will mark you branlyest also plz answer both questions
Answer:
D(1, -2)
E(3, -4)
Identify the terms, variables, coefficients and constants in each expression -4a-7b+5+c & 7-5h-2-k & 5-4x-8y & 9k+7-k+4 & -5a-7+5d+h & 7m-5-n-8k
Thank you!
Problem 1
Answers:Terms = -4a, -7b, 5, cVariables = a, b, cCoefficients = -4, -7, 1Constants = 5---------------------
Explanation:
Each term is separated by a plus sign. If we had something like -4a-7b, then rewrite it as -4a+(-7b). This works because subtraction is really adding a negative. Example: 2-3 = 2+(-3)
So the original expression becomes -4a+(-7b)+5+c and we see there are four terms here.
The terms with the variables are -4a, -7b and c. The variables are simply letters so we just say a,b,c are the variables. The coefficients are the numbers to the left of the variables. For the term c, it is really 1c, so the coefficient is 1.
The constant is the term without a variable multiplied with it. So that would be the 5. As the name suggest, the constant term does not change based on whatever the variables are.
=========================================================
Problem 2
Answers:terms = 7, -5h, -2, -kvariables = h,kcoefficients = -5, -1constants = 7, -2--------------------------------------
Explanation:
We'll follow the same idea as problem 1.
Rewrite 7-5h-2-k as 7+(-5h)+(-2)+(-k) and we see there are four terms.
The term -k is the same as -1k, so the coefficient is -1
The variables this time are h,k as those are the two letters that show up.
The constants are 7 and -2 because no variables are attached to them.
=========================================================
I'll let you do the rest. If you're still stuck, then please let me know
the solution to 5/2 x-7 =3/4 x +14
Answer:
x = 12.
Step-by-step explanation:
5/2x - 7 = 3/4x + 14.
put the like terms together keeping in mind that when a number crosses the equal sign it changes its sign and it acquires the opposite sign.
5/2x - 3/4x = 14 + 7
7/4x = 21.
divide both sides by the reciprocal of 7/4, the number next to the unknown
so x = 21 ×4/7
x = 12.
The perimeter of a rectangle is P = 2w + 2L, where w is the width of the rectangle and L is the length of the rectangle. Rearrange this formula to find the width of the rectangle
Answer:
P-2L/2= w
P subtract 2L divided by 2 will give u the width
Step-by-step explanation:
Answer:
p
Step-by-step explanation:
p=2w+2l
p -2w=2l
2l=p -2w
divide both sides by 2
l=1/2p-w
Choose the expression equivalent to 6x+8+2x+15
Answer:
Step-by-step explanation:
8x + 23
Suppose Clare labels the books at a constant speed of s books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling.
Answer:
75 minutes
50 minutes
Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)
Step-by-step explanation:
Complete question below:
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
How many minutes will she need to finish labeling all books if If she takes no breaks and labels:
a. 10 books a minute
b. 15 books a minute
Suppose Clare labels the books at a constant speed of books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling
Solution
a. 10 books a minute
Number of minutes to finish labelling all books at 10 books per minute = Total books / books labelled per minute
= 750 / 10
= 75 minutes
Number of minutes to finish labelling all books at 10 books per minute = 75 minutes
b. 15 books a minute
Number of minutes to finish labelling all books at 15 books per minute = Total books / books labelled per minute
= 750 / 15
= 50 minutes
Number of minutes to finish labelling all books at 15 books per minute = 50 minutes
c. The relationship between her labeling speed and the number of minutes is Total number of books labeled ÷ Time taken to label them
Number of minutes to finish labelling = Total number of books labelled / Time taken to label them (speed of labelling)
Please I need help with this question!!
[15 + 1/2 ] - [ 2 + 3/4 ] - [6 + 2/3 ]......convertng these to improper fractions, we have
[31 /2 ] - [11 / 4 ] - [ 20 / 3 ] getting a common denominator (12), we have
[186 / 12] - [33 / 12 ] - [ 80 / 12 ] = 73 / 12 inches = about 6.0833 inches left
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{6 \frac{1}{12} \: \: \: inches}}}}} [/tex]
Step-by-step explanation:
Total inches of a green ribbon = [tex] \sf{15 \frac{1}{2} }[/tex]
Finding the total inches of ribbon that she cut off
[tex] \sf{2 \frac{3}{4} + 6 \frac{2}{3} }[/tex]
Convert the mixed number into an improper fraction
[tex] \dashrightarrow{ \sf{ \frac{2 \times 4 + 3}{4} + \frac{3 \times 6 + 2}{3}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{8 + 3}{4} + \frac{18 + 2}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{11}{4} + \frac{20}{3} }}[/tex]
Take the L.C.M ( Least Common Multiple ) of 4 and 3
L.C.M = 4 and 3 = 12
[tex] \dashrightarrow{ \sf{ \frac{11 \times 3 + 20 \times 4}{12} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{33 + 80}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{113}{12} }}[/tex]
Total inches of ribbon that she cut off = 113/12
Now, finding the left inches of ribbon
[tex] \sf{15 \frac{1}{2} - \frac{113}{12} }[/tex]
Convert mixed number into improper fraction
[tex] \dashrightarrow{ \sf{ \frac{15 \times 2 + 1}{2} - \frac{113}{12} }}[/tex]
[tex] \dashrightarrow {\sf{ \frac{31}{2} - \frac{113}{12} }}[/tex]
Take the L.C.M of 2 and 12 , you will get 12
[tex] \dashrightarrow{ \sf{ \frac{31 \times 6 - 113}{2} }}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{186 - 113}{12}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{73}{12} }}[/tex]
Convert the improper fraction into mixed number
[tex] \dashrightarrow{ \sf{6 \frac{1}{12} }}[/tex] inches
Hope I helped!
Best regards! :D