Answer:
[tex]\Large \boxed{r =\frac{v^2 }{a}}[/tex]
Step-by-step explanation:
[tex]\displaystyle a=\frac{v^2 }{r}[/tex]
We need to rearrange and solve the formula for [tex]r[/tex].
Multiply both sides of the equation by [tex]r[/tex].
[tex]\displaystyle a \times r=\frac{v^2 }{r} \times r[/tex]
Simplify the equation.
[tex]ar=v^2[/tex]
Divide both sides of the equation by [tex]a[/tex].
[tex]\displaystyle \frac{ar}{a} =\frac{v^2 }{a}[/tex]
Simplify the equation.
[tex]\displaystyle r =\frac{v^2 }{a}[/tex]
what is 32 – 21 + 10x – 12x
Answer:
11 - 2x
Step-by-step explanation:
Given
32 - 21 + 10x - 12x ← collect like terms
= 11 - 2x
Change y = – 2/3 x + 7 into standard form
Answer:
2x + 3y = 42
Step-by-step explanation:
Standard form should be like:
=> ax + by = c
To make an equation like the above one, we need to do the point-slope form first.
=> y - y1 = slope (x - x1)
Slope = -2/3
Y-intercept -> to find the y-intercept, we need to make the 'x' as 0.
=> y = -2/3 * 0 + 7
=> y = 7
X-intercept -> to find the x-intercept, we need to make 'y' as 0.
=> 0 = -2/3x + 7
=> -7 = -2/3x
=> -21/2 = -x
=> -10.5 = -x
=> 10.5 = x
So, x and y intercepts are 10.5 and 7.
We can now write the point-slope form:
=> y - 7 = -2/3 (x - 10.5)
=> y - 7 = -2/3x + 21/3
=> y = -2/3x + 7 + 7
=> y = -2/3x + 14
=> 2/3x + y = 14
=> Multiply all numbers by 3
=> 2x + 3y = 42
Pls answer this question as soon as possible
Answer:
The answer is -½.
✌ yeah it is ✌
According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?
Answer:
Graphing Calculator
Step-by-step explanation:
HELP NOW LOOK AT SCREENSHOT
Answer:
They are similar because corresponding sides are not proportional
what is the value of the 8 1,082
Answer:
bbbbklhlhjljkhk
Step-by-step explanation:qwertyuiosdfghnjm,
xcvbnm,.sdfghuijk;m./
Answer:
[tex]\Large \boxed{tens}[/tex]
Step-by-step explanation:
We want to find out what 8 is in the number 1,082.
Let’s see the value of each number.
The 1 in 1,082 is in the one thousand place.
The 0 in 1,082 is in the hundreds place.
The 8 in 1,082 is in the tens place.
The 2 in 1,082 is in the ones place
We wanted to find what the value of 8 is, if you look above.. it says ‘The 8 in 1,082 is in the tens place’
Therefore the value of 8 is in the tens place.
If you have any questions, be free to ask!
The image below shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answer:
IJ = 2*KL
Step-by-step explanation:
Given that the smaller figure was dilated to create the bigger figure with a scale factor of 2, it therefore means, the dimensions of the smaller figure was increased by times 2 of its dimensions to create the bigger figure.
Thus, the relationship that would exist between line IJ and KL, is that IJ is twice the size of KL.
The relationship is: IJ = 2*KL
Deal A is at Walmart and they are selling 50 cupcakes for $30 dollars but gives you 10% discount. Deal B is at Costco gives you 50 percent more cupcakes at the same price at $30 of but no discount. which is a better deal.
Answer:
Deal B
Step-by-step explanation:
Deal A : $ 30 *10%=3 dollars
the price for 50 cupcake is 27 dollars (54 cent for one cupcake)
Deal B: 50*50%= 25 more cupcake
75 cupcake for 30 dollars ( 40 cents per cupcake)
Deal B is better than Deal A
Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
[tex]y = 8x -67[/tex]
Step-by-step explanation:
Given
(9,5) and (8,-3)
Required
Determine the line equation
First, we need to determine the slope of the line: using
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where
[tex](x_1,y_1) = (9,5)[/tex]
[tex](x_2,y_2) = (8,-3)[/tex]
So;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]
[tex]m = \frac{5 +3}{9 - 8}[/tex]
[tex]m = \frac{8}{1}[/tex]
[tex]m = 8[/tex]
The line equation using point slope form is calculated as thus:
[tex](y- y_1) = m(x - x_1)[/tex]
Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have
[tex]y - 5 = 8(x - 9)[/tex]
Open the bracket
[tex]y - 5 = 8x - 72[/tex]
Make y the subject of formula
[tex]y = 8x - 72 + 5[/tex]
[tex]y = 8x -67[/tex]
What is the reflection image of
(5,−3)across the line
y=x
Answer: The Answer is (-5,-3)
hope so my answer is correct
Step-by-step explanation:
PROVE THAT:
cos 20° - sin 20° = \sqrt{2}sin25°
Answer:
See below.
Step-by-step explanation:
[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]
First, use the co-function identity:
[tex]\sin(90-x)=\cos(x)[/tex]
We can turn the second term into cosine:
[tex]\sin(20)=\sin(90-70)=\cos(70)[/tex]
Substitute:
[tex]\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]
Now, use the sum to product formulas. We will use the following:
[tex]\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})[/tex]
Substitute:
[tex]\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)[/tex]
Use the even-odd identity:
[tex]\sin(-x)=-\sin(x)[/tex]
Therefore:
[tex]\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]
Replace the second term with the original term:
[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]
Proof complete.
m-m-1/2=1-m-2/3 ( will mark brainiest)
Answer:
Step-by-step explanation:
m= 1/2
this is answer ..........
hope it helps
pls mark my answer as the brainliest
Answer:
M = 5/6
Step-by-step explanation:
m-m-1/2=1-m-2/3
You combine like terms, in this case, the m-m and 1-2/3.
-1/2 = -m + 1/3
Now you need to isolate the m so you subtract 1/3 from both sides.
-1/3 - 1/2 = -m
Combine like terms again.
-5/6 = -m
But m needs to be positive so you divide both sides by -1.
m = 5/6
This should be the answer!
Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28
x2 – 3x – 28 = (x-7)(x+4)
Answer:
On the top:-28
On the bottom: -3
On the sides: -7 and 4
X2-3x-28=(x-7)(x+4)
Step-by-step explanation: I got it correct on Edge
Please i need to know the meaning of this! : Thanks.
Given f(x) = 2x - 7, complete parts (a) through (c).
A. Solve f(x)=0.
B. What do the answers to parts (a) and (b) tell you about the graph of y=f(x)
Answer:
a) x=7/2
Step-by-step explanation:
a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.
Then value of [tex]x[/tex] is 7/2
What is function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
given function:
[tex]f(x)[/tex]= 2[tex]x[/tex] -7
So,[tex]f(x)[/tex]= 0
2[tex]x[/tex] -7=0
2[tex]x[/tex]= 7
[tex]x[/tex]= 7/2
The graph is attached below.
Learn more about function here:
https://brainly.com/question/12431044
#SPJ2
Evaluate the following expression.
28 – 10 – 15 = 3 =
and this is the order of operations
Answer:
28 - 10 - 15 - 3
=> 18 - 15 - 3
=> 3 - 3
=> 0
Another way:
=> 28 - 10 - 15 - 3
=> 28 - 25 - 3
=> 28 - 28
=> 0
E
What is the value of x in the equation 3x.. by y 18, when y27
Answer:
x = 15
Step-by-step explanation:
We need to find the value of x in the equation 3x – y = 18 when y = 27.
To find the value of x, put y = 27 in the above equation.
So,
3x - 27 = 18
3x = 45
x = 15
So, the value of x is 15.
The length of country & western songs has mean 151 seconds and standard deviation 30 seconds. Determine the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds.
Answer:
48.514%
Step-by-step explanation:
The formula for calculating a z-score is is z = (x -μ)/σ,
where x is the raw score = 149.75
μ is the sample mean = population mean = 151 seconds
σ is the sample standard deviation
= Population standard deviation/√n
Where n = 20 songs
Population standard deviation = 30
Hence, sample standard deviation
30/√20
= 6.7082039325
z = (x -μ)/σ
z = 149.75 - 150/6.7082039325
z = -0.03727
Using the z score table to find the probability, we have :
P(x<149.75) = 0.48514
In percent = 0.48514 × 100
= 48.514%
Therefore, the probability (as percent) that a random selection of 20 songs will have mean length of less than 149.75 seconds is 48.514%
Which statement about the relationship shown in the graph is true?
Answer:
third option
Step-by-step explanation:
In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.
A son is 8 years old. His father is 5 times as old. How old was the father when his son was born?
Answer:
he was 32
Step-by-step explanation:
8x5 is 40 because he was born 8 years ago you subtract 8 from 40 to get 32
The function f is defined by the following rule
f (x) - 5+1
Complete the function table.
-5
-1
0
2
3
Answer:
The answer to your question is given below.
Step-by-step explanation:
1. f(x) = 5x + 1
x = – 5
f(x) = 5x + 1
f(–5) = 5(–5) + 1
f(–5) = –25 + 1
f(–5) = –24
2. f(x) = 5x + 1
x = – 1
f(x) = 5x + 1
f(–1) = 5(–1) + 1
f(–1) = –5 + 1
f(–1) = – 4
3. f(x) = 5x + 1
x = 1
f(x) = 5x + 1
f(1) = 5(1) + 1
f(1) = 5 + 1
f(1) = 6
4. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(2) = 5(2) + 1
f(2) = 10 + 1
f(2) = 11
5. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(3) = 5(3) + 1
f(3) = 15 + 1
f(3) = 16
Summary
x >>>>>>>> f(x)
–5 >>>>>> – 24
–1 >>>>>> – 4
1 >>>>>>>> 6
2 >>>>>>> 11
3 >>>>>>> 16
como resuelvo esto y=1+2(4/5)
Answer:
Es 2.6
Step-by-step explanation:
Answer: translate
Step-by-step explanation:
What is the inverse of the function g(x)=-3(x+6)? g^-1(x)=
Answer:
[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]
Step-by-step explanation:
First assign a letter "y" to g(x) and get rid of parenthesis on the right:
[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]
Now, solve for "x":
[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]
now replace y with x, and call x : [tex]g^{-1}(x)[/tex]
[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]
Answer:
-6 - [tex]\frac{x}{3}[/tex]
Step-by-step explanation:
Please help quickly!!
A truck is driving up a hill with a 24% grade, so it climbs 24 feet vertically for every 100 feet horizontally.
What is the slope of the hill?
Answer:
6/25
Step-by-step explanation:
rise / run
24/100 = 6/25
Answer:
[tex]\frac{6}{25}[/tex]
Step-by-step explanation:
The slope of any relationship is always rise over run. This means the vertical distance traveled over the horizontal distance traveled will get us our slope.
We travels 24 feet vertically for every 100 feet horizontally, so:
[tex]\frac{24}{100}[/tex].
We can simplify this fraction to find the slope in fraction form.
[tex]\frac{24\div4}{100\div4} = \frac{6}{25}[/tex]
So the slope of this equation is [tex]\frac{6}{25}[/tex].
Hope this helped!
If EH = 80, calculate GF.
Answer:
The length of Segment GF is 120
Step-by-step explanation:
Given that EH = 80, and AB, GF, RH, and DI are parallel lines, we have;
DC ≅ DE ≅ EF ≅ FA Given
Therefore, CI ≅ HI ≅HG ≅ GB (Triangle proportionality theorem)
From where we have;
EH/GF =CH/CG (Intercept theorem otherwise known as Thales' theorem )
CH = 2 × CI (Transitive property of equality)
Also CG = 3 × CI (Transitive property of equality)
EH/GF = 2×CI/(3×CI) = 2/3
EH/GF = 2/3
80/GF = 2/3
Therefore we have;
Segment GF = 80 × 3/2 = 120
The length of Segment GF = 120.
120 U-U
Mostly cuz i looked it up and i am not explaining it cuz i dont wanna
PLEASE HELP, WILL GIVE BRAINLIEST The number of views on an interesting video after it's uploaded is represented by the following table: Time (days) Views 000 101010 444 452452452 888 889889889 121212 133013301330 161616 177017701770 202020 221122112211 Which model for V(t)V(t)V, left parenthesis, t, right parenthesis, the number of views ttt days after it's uploaded, best fits the data?
Answer:
Option C
Step-by-step explanation:
Options A, B, C, and D all satisfy the base case of V(0) = 10; however, they also all fail the next step case of V(4) = 452.
A at t = 4, results in 163047.361
B at t = 4, results in 1770
C at t = 4, results in 450 (close but not 452)
D at t = 4, results in 41740124.42
Note that at option C, we had the closet value 450 which is only 2 from 452 whereas the next closet was 1218 away.
Choose option C as the curve of best fit.
Cheers.
Answer:
c
Step-by-step explanation:
88 feet/second = 60 miles/hour. How many feet per second is 1 mile/hour?
Answer:
1.46666666667 feet per second
Step-by-step explanation:
60 miles per hour = 88 feet per second
=> 60/60 miles per hour = 88/60 feet per second
=> 1 mile per hour = 1.46666666667 feet per second
Calculate JK if LJ = 14, JM = 48, and LM = 50
Answer:
JK = 6.86
Step-by-step explanation:
The parameters given are;
LJ = 14
JM = 48
LM = 50
[tex]tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}[/tex]
[tex]tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }[/tex]
∠JML = 16.26°
Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.
From the angle bisector theorem, we have;
LM/JM = LK/JK
50/48 = LK/JK................(1)
LK + KJ = 14.....................(2)
From equation (1), we have;
LK = 25/24×JK
25/24×KJ + JK = 14
JK×(25/24 + 1) = 14
JK × 49/24 = 14
JK = 14×24/49 = 48/7. = 6.86.
JK = 6.86
Help me please sssssssssssssssssssssssssssss
Answer:
0[tex]-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]Step-by-step explanation:
[tex]\sin \left(30^{\circ \:}\right)+\cos \left(60^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \sin \left(30^{\circ \:}\right)=\frac{1}{2}\\\\\mathrm{Use\:the\:following\:trivial\:\\identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\\=\frac{1}{2}+\frac{1}{2}-1\\\\=0[/tex]
[tex]\\\cos \left(60^{\circ \:}\right)+\tan \left(30^{\circ \:}\right)-1\\\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \cos \left(60^{\circ \:}\right)=\frac{1}{2}\\\mathrm{Use\:the\:following\:trivial\:identity}:\\\quad \tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\\\\=\frac{1}{2}+\frac{\sqrt{3}}{3}-1\\\\=-\frac{1}{2}+\frac{\sqrt{3}}{3}[/tex]
How much did it cost Mark to drive 775 miles? If his car makes 31 mpg and fuel cost $2.00 per gallon.
Answer:
$50.00
Step-by-step explanation:
775/31=25
25x2=50
