Answer:
f=0.67
Step-by-step explanation:
Let's solve your equation step-by-step by isolating f.
9f=12f−2
Step 1: Subtract 12f from both sides.
9f−12f=12f−2−12f
You get:
−3f=−2
Step 2: Divide both sides by -3.
−3f/−3 = −2/−3
You get:
f= 2/3, or f= 0.67
Hope this helps! :)
Find the first four terms of the sequence using the recursive formula.
Answer:
- 3, - 11, - 35, - 107
Step-by-step explanation:
Using the recursive formula with f(1) = - 3 , then
f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11
f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35
f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107
Thus the first four terms are
- 3, - 11, - 35, - 107
a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal
Answer:
96 and 192 calories
Step-by-step explanation:
Given
72 calories in a 3/4 cupDivide both by 3/4 to find the unit rate:
72:3/4 in 3/4:3/496 calories in 1 cupThen multiply both by 2 to get the calories for 2 cups:
96*2 = 192 caloriesWrite 0.2 repeating as a fraction in simplest form.
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x = [tex]\frac{2}{9}[/tex]
Thus
0.22..... = [tex]\frac{2}{9}[/tex]
Answer:
2/9
Step-by-step explanation:
We require to create 2 fractions with the repeating 2 after the decimal point.
let x = 0.22.... → (1) ← multiply both sides by 10
10x = 2.22....... → (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 2 ( divide both sides by 9 )
x =
Thus
0.22..... =
4x+ 2( 3 – 3x) = 6 answer
Answer:
0
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6
4x+6-6x=6
6-2x=6
6-6=2x
0/2=x
x=0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]4x+2\left(3-3x\right)=6[/tex]
Expand:
[tex]4x+2\times3-2\times3x=6[/tex]
[tex]4x+6-6x=6[/tex]
[tex]-2x+6=6[/tex]
Subtract 6 from both sides:
[tex]-2x+6-6=6-6[/tex]
[tex]-2x=0[/tex]
Divide both sides by -2:
[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]
[tex]x=0[/tex]
Show your work. Find the length of SU. (~Brainiliest will be awarded):)
Answer:
SU= 14
Step-by-step explanation:
if QU= 24 and RU= 19 then you can subtract 24-19=5. and if QR=RS=ST then you subtract 19-5=14
I need help with finding m & I’m pretty sure exercise 6 is # 6 help please
[tex]\text{Hello!}[/tex]
=+=+=+=+=+=+=+=+=+=+=
[tex]\text{Formula: } \boxed{5/4n - 7 = m}[/tex]
[tex]\text{ When n = 40, } \boxed{m = 43}[/tex]
[tex]\text{ Isolate for m:}[/tex]
[tex]\text{Begin by dividing both sides by 4/5 (multiply by reciprocal):}[/tex]
[tex]n = 4/5(m + 7 ) \text{ becomes } 5/4n = m + 7[/tex]
[tex]\text{Subtract 7 from both sides to isolate "m"}[/tex]
[tex]5/4n - 7 = m[/tex]
[tex]\text{Substitute n = 40 into the equation to solve for "m":}[/tex]
[tex]5/4(40) - 7 = m\\\\50 - 7 = m\\\\m = 43[/tex]
6. Describe a pattern shown in this sequence, and use the pattern to find the next two terms.
7,15, 23, 31, 39, ?, ?, ...
Answer:
The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.
Step-by-step explanation:
7+8=15
15+8=23
23+8=31
31+8=39
39+8=47
47+8=55
Poonam is five times as old as Shalini. The sum of their ages is 72
Answer:
Shalini = 12
Poonam = 60
Step-by-step explanation:
Let p = poonams age
Let s = shalini's age
p = 5s
p+s = 72
Substitute the first equation into the second equation
5s+s = 72
Combine like terms
6s= 72
Divide by 6
6s/6 = 72/6
s = 12
p = 5s =5*12 = 60
Shalini = 12
Poonam = 60
[tex]how muv \\ c \\ \\ \\[/tex]
how much does it cost to buy 10 computer mice that cost 24.75 apiece?
How much does it cost to buy 10 computer mice (not the living thing :) ) that are $24.75 each.
10(24.75)=247.5
It will cost $247.5
It would be $247.50
Step-by-step explanation:
24.75 x 10
PLEASE HELP I W WILL MARK YOU BRAINLIEST
Answer:
200 students
Step-by-step explanation:
Since there are 7 buses and 6 of them are full you would multiply 30•6. Then you would multiply 2/3 with 30 to find how many are on the 7th bus, which is 20. So you would add 180 and 20 to get the answer
Convert to standard form: y = 5x + 20
Answer:
5x - y = -20
Hope this helps.
The current value of a baseball card is 50 times its original value v (in dollars). The baseball card is worth $62. Write and solve an equation to find the original value of the baseball card
Answer:
50v
Step-by-step explanation:
The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.
Find a general term a, for the sequence whose first four terms are given.
6, 14, 22, 30,...
Answer:
an = 6 +8(n -1)
Step-by-step explanation:
Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...
an = a1 +d(n -1)
where a1 is the first term, and d is the common difference.
Here, the differences are ...
14 -6 = 8
22 -14 = 8
30 -22 = 8
These are all the same, hence a "common" difference. The first term is 6, so the general term is ...
an = 6 +8(n -1)
Can someone help me ASAP pleaseee
Answer:
y = 8x - 26
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6+2}{4-3}[/tex] = 8 , thus
y = 8x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6) , then
6 = 32 + c ⇒ c = 6 - 32 = - 26
y = 8x - 26 ← equation of line
Name the x-intercept
Answer:
There are no x-intercepts
Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.
Answer:
no x intercept
Step-by-step explanation:
The x intercept is the value where it crosses the x axis.
This functions does not cross the x axis
There is no x intercept
What is the answer to this question?
Answer:
(-6,300)
Step-by-step explanation:
Answer:
(-6,300)
Step-by-step explanation:
(x,y)
then:
x = -6
y = 300
then:
(-6 , 300)
Can someone please answer this question. It’s not very difficult but I need to be certain I have the correct answer.
Answer:
12m^2(a)
Step-by-step explanation:
Multiply 3m by 4m for a paralolegram.
(l*w)
train can travel 1136 miles in 4 hours. What is the unit rate that this train is traveling per hour
Answer:
4544
Step-by-step explanation:
1136 *4 = 4544
Emily is thinking of a number, which she calls n. She finds 1/4 of the number and subtracts 3. Write an expression that represents Emily’s number.
Answer:
1/4n - 3
Step-by-step explanation:
1/4 of a number means multiplying 1/4 to n. So we can write 1/4n. Now we write the subtract 3 portion. 1/4n - 3.
The expression n = 1/4n - 3 shows that Emily's number can be obtained by adding 3 to one-fourth of her number.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
Emily's number can be represented as:
n
One-fourth of Emily's number can be represented as:
1/4n
Subtracting 3 from one-fourth of Emily's number gives us:
1/4n - 3
Therefore, the expression that represents Emily's number is:
n = 1/4n - 3
This expression shows that Emily's number can be obtained by adding 3 to one-fourth of her number.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ7
bill dupp lumber yard charges $2.80 for each cubic foot of sand delivered,plus $50 to deliver the sand. is this function continuous or discrete?
Answer:
2.80×50
Step-by-step explanation:
2.80×50 step by step
If -2 and 3 are zeroes of quadratic polynomial xsquare + (a+1)x+b then find the value of and b
Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
2a + 2b = c for b
Solve for b
2a + 2b = c
Subtract 2a from both sides
2b = -2a + c
Divide both sides by 2
b = -a + (c/2)
The price of an item has been reduced by 55%. The original price was $53. what is the price now
Answer:
$29.15
Step-by-step explanation:
Step 1:
$53 × 55%
Step 2:
53 × 0.53
Answer:
29.15
Hope This Helps :)
Write the equation of the line that passes through the given points (-6, 0) and (0, 3)
Answer:
Step-by-step explanation:
Put (-6,0) and (0,3) into a table of values
form of the equation: mx+b
x -6 0
y 0 3
3/-6=-0.5 (m)
3=b (the value of y when x=0)
equation: y=0.5x+3
The price of a tv is rs3000.if the discount is rs1560,find the percent of discount.
Answer:
price of tv = 3000
discount =1560
discount % = 1560/3000 * 100% = 52%
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
Formula =discount ×100÷original price
1560×100÷3000=52%
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds after it was hit can be modeled by the function h(t)=40t-16t^2.
Move the number to the blanks to describe the path of the ball.
When the ball is hit at 0 seconds, it has a height of _____ feet. The ball's height increases until it reaches its maximum height of _____ feet after ____ seconds. The ball's height then decreases until it reaches the ground _____ seconds after it was hit.
Fill in the blanks with these numbers: 0, 0.4, 1.25, 2, 2.5, 4, 16, 25, 40
Answer:
The correct numbers are;
1) 0
2) 25
3) 1.25
4) 2.5
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
Step-by-step explanation:
The given equation for the height of the ball, h(t), in feet, is given as follows
h(t) = 40·t - 16·t²
Therefore;
1) When the ball is hit at 0 seconds, it has a height of h(0) = 40×0 - 16×0² = 0 feet
2) The time to reach maximum height by the ball is found by taking the derivative (slope) of the function for the height of the ball and noting that at maximum height, the derivative (slope) = 0
Therefore;
h'(t) = 40 - 2 × 16·t = 0
40 - 32·t = 0
t = 40/32 = 5/4 seconds = 1.25 seconds
3) The maximum height is then found from the value of the function at t = 5/4 seconds as follows;
h(5/4) = 40×5/4 - 16×(5/4)² = 50 - 25 = 25 feet
4) The time in which the ball reaches the ground where h(t) = 0 is given from the formula for the height of the gulf ball as follows;
h(t) = 0 = 40·t - 16·t²
40·t - 16·t² = 0
(40 - 16·t)·t = 0
Therefore;
t = 0 seconds or t = 40/16 = 2.5 seconds
(40 - 16·t) = 0/t = 0
t = 40/16 = 2.5 seconds
Therefore, the filling the blanks with the correct numbers gives;
When the ball is hit at 0 seconds, it has a height of 0 feet. The ball's height increases until it reaches its maximum height of 25 feet after 1.25 seconds. The ball's height then decreases until it reaches the ground 2.5 seconds after it was hit
pls help asap i need the help
Answer:
-2.5 is correct answer
Ans.=PLEASE HELP I WILL MARK YOU BRAINLIEST.
Answer:576cm
Step-by-step explanation:
Multiply length width
And height
Answer:
[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]
Step-by-step explanation:
Given,
Length of the rectangular prism ( l ) = 16 cm
Height of the rectangular prism ( h ) = 4 cm
Width of a rectangular prism ( w ) = 9 cm
Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm
[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]
[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]
[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]
Hope I helped!
Best regards! :D
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,3) and (-1,5)
Answer: 2.83
Step-by-step explanation:
Use the distance formula
PLEASE HELP I WILL MARK YOU BRAINLIEST A rectangular prism’s base has an area of 40 cm. The prism’s height is 5cm. What is the volume of the prism?**
Answer:
200 cc
Step-by-step explanation:
Volume of the prism = Area of base * height
= 40*5
= 200 cubic cm