Answer:
B. 7.5%
Step-by-step explanation:
First, we need the Simple Interest (S.I)
Total = Principal + Simple Interest
T = P + S.I
6500 = 5000 + S.I
[make S.I the subject of the formula]
S.I = 6500 - 5000
S.I = 1500
Simple Interest = (Principal × Rate × Time) / 100
S.I = (P × R × T) / 100
1500 = (5000 × R × 4) / 100
1500 = 20000R / 100
1500 = 200R
[divide both sides of the equation by 200]
1500 / 200 = 200R / 200
R = 1500 / 200
R = 7.5
The annual interest rate is 7.5%
Use the Distributive Property to write an equivalent expression for 21x+7
Answer: 7(3x+1)
Step-by-step explanation:
there is a common factor of 7 in both 21 and 7. therefore you can take a 7 out of the equation to get 7(3x+1)
extra: 7 times 3x = 21x and 7 times 1 = 7. this is how you verify your answer is correct.
Triangle JKL, with vertices J(2,-4), K(6,-5), and L(4,-2). What is the area, in square units, of triangle JKL?
Answer:
i bleve it is 43
Step-by-step explanation:
I COULD WRONG !!!!!! SORRRY
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
Answer:
How do you write a number to the power of something ?
( ex : 125 to the power of 5 )
125⁵
thats it easy as much
12. Which of the following functions is the inverse of f(x) = 3x? (1 point)
Of(x)=-3x
Of(x)=x?
Of(x) =
This function does not have an inverse.
13. Which of the following functions is the inverse of f (x) = 4x-10? (1 point)
x-10
O f (x) =
4
*+10
O f (x) =
4
4
O f(x) =
x-10
4
O f (x) =
x+10
Answer:
Step-by-step explanation:
12) f(x) = 3x
y = 3x
x = 3y
x/3 = y
13) f(x) = 4x-10
y = 4x - 10
x = 4y - 10 (isolate y)
(x+10)/4 = y
The required inverse function would be f⁻¹(x) = x / 3.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
f(x) = 3x
So after switching x and y,
Now, we solve for y regularly.
f(x) = x = 3y
Solve for y :
⇒ x = 3y
⇒ x / 3 = y
⇒ y = x / 3 = f⁻¹(x)
Therefore, the required inverse function would be f⁻¹(x) = x / 3.
Learn more about the inverse functions here:
brainly.com/question/2541698
#SPJ7
Complete question is ;
Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.
Please answer this fast. This was due October 6th and I need to get it done!!!!! The energy E of a moving object is called its
kinetic energy. It is calculated using the formula E = { mv2,
where m is the object's mass in kilograms and v is its
speed in meters per second. The units of kinetic energy are
kilograms - meters
abbreviated as kg • m²/s2.
seconda
a. Solve the given formula for m.
b. What is the mass of an object moving at 10 m/s with a kinetic
energy of 2500 kg · mº/s2?
. n
Answer:
Question a:
[tex]{ \rm{kinetic \: energy = \frac{1}{2} m {v}^{2} }} \\ [/tex]
• then let's make m the subject:
[tex]{ \rm{E = \frac{1}{2}m {v}^{2} }} \\ \\ { \rm{m {v}^{2} = 2E }} \\ \\ { { \green{ \boxed{ \boxed{ \bf{m = \frac{2E}{ {v}^{2} } }}}}}} \\ [/tex]
Answer: m = 2E/v²
Question b:
[tex]{ \rm{m = \frac{2E}{ {v}^{2} } }} \\ \\ { \rm{m = \frac{(2 \times 2500)}{ {10}^{2} } }} \\ \\ { \rm{m = \frac{5000}{100} }} \\ \\ { \boxed{ \boxed{ \rm{ \: m = 50 \: kg \: }}}}[/tex]
Answer: mass is 50 kg
3x+9=15
Anybody know the answer to thisss???
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Move all terms that don't contain [tex]x[/tex] to the right side and solve.
Answer:
refer to the attachment
Step-by-step explanation:
hence x is 2
HELP, please I'm stuck
identify the term(s, coefficient(s), and constant(s) in the expression 6m^2+5+7m.
Answer:
nice pfp hehe genshin player here >○<
constant is 5
coefficient is 6 7
terms: 5, 6m2, 7m
2. original: $20.00
percent of discount: 40%
And explain why
Answer:
because u loss $12 I think
2(x-1)+4=-(x+6)+5
..
x = -1
Step-by-step explanation:
2(x - 1) + 4 = -(x + 6) + 5
2x - 2 + 4 = -x - 6 + 5
2x + 2 = -x - 1
2x + x = -1 - 2
3x = -3
x = -1
Find real numbers a and b such that the equation is true.
a + bi = 7 + 6i
It took Valerie 80 minutes to drive 120 miles. Which of the following unit rates expresses how fast Valerie was traveling?
60 miles per hour 70 miles per hour
80 miles per hour 90 miles per hour
Answer:
90 miles per hour
Step-by-step explanation:
Divide distance by time to get speed.
[tex]\frac{120}{80}[/tex]=1.5 miles per minute
60 minutes in an hour
1.5(60)=90 miles an hour
f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0
The functions f(x) and g(x) combine to form a composite functions
The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
How to determine the function (fg)(x)The functions are given as:
[tex]f(x) = \sqrt{2x[/tex]
[tex]g(x) = \sqrt{8x[/tex]
To calculate (fg)(x), we have:
[tex]f(x) = \sqrt{2x[/tex]
This gives
[tex]f(g(x)) = \sqrt{2g(x))[/tex]
Substitute [tex]g(x) = \sqrt{8x[/tex]
[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]
Simplify
[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]
Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
Read more about composite functions at:
https://brainly.com/question/10687170
Answer:
f.g x = 4x
Step-by-step explanation:
A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. One school in the report, Springside Elementary, is labeled in the graph.
Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.
Interpreting the scatterplot, it is found that the correct option is:
Springside weakens the correlation shown in the scatterplot.
In the scatterplot, the mean test score is plotted as function of the mean class-size.From this, we can verify that as the mean class size increases, the mean score decreases, that is, there is a negative correlation between the mean class size and the mean test score.However, for Springside, the mean test score is greater than most other schools with smaller class sizes, which is a different result than expected, thus, it weakens the correlation, and the correct option is:Springside weakens the correlation shown in the scatterplot.
A similar problem is given at https://brainly.com/question/13961820
Which equation represents the line that passes through (-8,11) and
(4, 7/2)
Answer:
Y=-5/8X+6
Step-by-step explanation:
The mean of four numbers is 30. If three of the numbers are 12, 50, and 48, what is the fourth number?
A. 120
B. 10
C. 12
D. 30
Answer:
Here’s the answer:
Step-by-step explanation:
The sum of the four numbers divided by 4 is equal to the mean.
the sum/4 = mean
(12 + 50 + 48 + n)/4 = 30
(110 + n)/4 = 30
(110 + n) = 30 × 4
(110 + n) = 120
n = 120 - 110
n = 10
Find the distance between (-6,-1) and (4,-5)
2,889 mi
Distance from South Atlantic Ocean to Gulf of Guinea
i need help how do you do this
Answer:
very easy just follow instruction
Please help me with this question.
Plz help it’s due tonight!!!
A pitcher contains 4.5 pints of iced tea. How many fluid ounces of iced tea are in the pitcher?
A flat fee of $15.25 plus $3.45 per pound of supplies ordered is added to the bill to cover the shipping cost.The teacher budgets $49.75 for the shipping cost.Which list of values best represents the entire domain for shipping, f(x), as a function of the number of whole pounds of school supplies the teacher can order, x?
The domain of a function is the set of possible input value, the function can take.
The domain is [0,10]
The given parameters are:
[tex]Flat\ Fee = 15.25[/tex]
[tex]Rate = 3.45[/tex]
So, the function f(x) is:
[tex]f(x) = Flat\ Fee + Rate \times x[/tex]
[tex]f(x) = 15.25 + 3.45 \times x[/tex]
[tex]f(x) = 15.25 + 3.45x[/tex]
Because x represents the number of orders, the value of x cannot be negative.
The teacher budgets $49.75.
This means that: f(x) = 49.75
So, we have:
[tex]49.75 = 15.25 + 3.45x[/tex]
Collect like terms
[tex]49.75 - 15.25 = 3.45x[/tex]
[tex]34.5 = 3.45x[/tex]
Divide both sides by 3.45
[tex]10 = x[/tex]
Rewrite as
[tex]x = 10[/tex]
Hence, the domain is [0,10]
Read more about domains at:
https://brainly.com/question/21853810
PLEASE HELP PLEASE PLEASE HELP PLEASE
Answer:
2
Step-by-step explanation:
it dot number 2 to click
Answer:
0 ≤ months ≤ 12
Step-by-step explanation:
Domain is the x-values and axis, so it is 0 to 12.
Hopefully this helps!
Brainliest please?
Which statement about this equation is true?
2x + 4 = 2(x + 2)
Answer:
number 3 is right
Step-by-step explanation:
this equation has infinitely many solutions
Determine the value of x.
No links please!
Answer:
The answer is D.
Step-by-step explanation:
Answer:
The choice D)
[tex]2 \sqrt{2} [/tex]
Step-by-step explanation:
Sin = Opposite/ hypotenuse
[tex] \sin(45) = \frac{x}{4} \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4} \\ \\ \sqrt{2} x = 4 \\ \\ x = \frac{4}{ \sqrt{2} } \\ \\ x = \frac{4}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \\ x = \frac{4 \sqrt{2} }{2} = 2 \sqrt{2} \\ \\ \\ x = 2\sqrt{2} [/tex]
I hope I helped you^_^
Which choices are equivalent to the expression below? Check all that apply
Answer:
B, D, and E
Step-by-step explanation:
Which number rounds to 3,400 when rounded to the nearest hundred?
O 3,348
3,429
O 3,504
O 3, 637
Answer:
The correct choice is option B. 3,429
Step-by-step explanation:
When rounded to the nearest hundred, 3429 becomes 3400.
Answer:
3,429 --- right answer
Can you please help the pic is below
Answer:
4.6x3=13.8
0.46x3=1.38
Step-by-step explanation:
x²-2xy-4z²+y² x=1 y=2 z=0
Answer:
the answer is 1.
Step-by-step explanation:
x²-2xy-4z²+y²
given:
x=1 y=2 z=0
now,
=1^2-2*1*2-0+2^2
=1
hope it helps ..thank u
55
(x + 30)
Find the value x
x=25 because 30+25=55. and 55-25=30
