A coffee's temperature changed by -54°F in =
[tex] = 22\frac{1}{2} \: minutes[/tex]
The temperature change in the coffee each minute :-
[tex] = - 54 \div 22\frac{1}{2} [/tex]
[tex] = - 54 \div \frac{(2 \times 22 + 1)}{2} [/tex]
[tex] = - 54 \div \frac{45}{2} [/tex]
[tex] = - 54 \times \frac{2}{45} [/tex]
[tex] = \frac{ (- 54 \times 2)}{ \: \: 45} [/tex]
[tex] = \frac{ - 108}{ \: \: \: 45} [/tex]
[tex]\color{magenta} = - 2.4°F[/tex]
Therefore , the temperature change in the coffee each minute was = -2.4°F .
Given f(x) = -2x and g(x) = 4x - 8, find h(x) = f(x) + g(x).
f(x) = -2x and g(x) = 4x - 8, find h(x) = f(x) + g(x).
Replace f(x) and g(x) with their given values:
h(x) = -2x + 4x -8
Combine like terms:
h(x) = 2x -8
Solve: x2 − x − 6 x2 = x − 6 2x 2x 12 x after multiplying each side of the equation by the lcd and simplifying, the resulting equation is .
On factorization of the equation x² − x − 6 = 0. Then the values of x are −2 and 3.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The equation is given below.
x² − x − 6 = 0
On factorization, we have
x² − 3x + 2x − 6 = 0
x(x − 3) + 2(x − 3) = 0
(x − 3)(x + 2) = 0
x = −2, 3
The values of x are −2 and 3.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
Step-by-step explanation:
-2 and 3
[tex]d(n) = \dfrac{5}{16} \left(2\right)^{n - 1}[/tex]
What is the 5th term in the sequence?
9514 1404 393
Answer:
5
Step-by-step explanation:
Put n=5 in the formula and do the arithmetic.
[tex]d(5)=\dfrac{5}{16}2^{5-1}=\dfrac{5}{16}\cdot2^4=\dfrac{5\cdot16}{16}\\\\\boxed{d(5)=5}[/tex]
_____
The first few terms are ...
5/16, 5/8, 5/4, 5/2, 5, 10, 20, ...
Mark Lomonaco And deven Hughes pushes twenty five new tables for $29.95 each. they received a 15% discount off the total gross amount of the tables because they purchased more than five tables. Sales tax in their country is 8.75 %
Answer:
4.58
Step-by-step explanation:
$29.95(15%) = 4.4925+8.75% = 4.4925+0.0875 = 4.58
1 times 5 (50 points)
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
1 times any number equals the other number
1*5=5
because there are 5 groups of 1
Find the difference between the polynomials:
–3x+x^3–2x^2 and 4x^3–2x^2–4x
x-3x^3
Step-by-step explanation:
just pretend they are in parentheses and open them
What is the surface area of the right square pyramid?A. 48 in2
B. 64 in?
C. 96 in
D. 112 in2
PLEASE BRILLIANT
i need help asap
Answer:
p = 6, q = - 1
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , [tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
xy = 32 , tat is
[tex]2^{p}[/tex] × [tex]2^{q}[/tex] = [tex]2^{5}[/tex]
Since the bases on both sides are equal, equate the exponents
p + q = 5 → (1)
Also
2xy² = 32 ( divide both sides by 2 )
xy² = 16 , that is
[tex]2^{p}[/tex] × [tex](2^{q}) ^{2}[/tex] = 16
[tex]2^{p}[/tex] × [tex]2^{2q}[/tex] = [tex]2^{4}[/tex] , then p + 2q = 4 → (2)
Thus
p + q = 5 → (1)
p + 2q = 4 → (2)
Subtract (1) from (2) term by term
q = - 1
Substitute q = - 1 into (1) for corresponding value of p
p - 1 = 5 ( add 1 to both sides )
p = 6
A rectangular table that is placed lengthwise against a wall is 8 feet long
and 4 feet wide. Balloons will be attached 8 inches apart along the three
exposed sides, with one balloon at each of the four corners. How many balloons are needed?
Considering the perimeter of the rectangular table, it is found that 36 ballons are needed.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w).
In this problem, the dimensions of the table are l = 8 ft and w = 4 ft, hence the perimeter is of:
P = 2(l + w) = 2 x 12 = 24 ft.
Ballons will be attached 8 inches = 2/3 feet along the perimeter, hence the number of ballons needed is given by:
[tex]n = \frac{24}{\frac{2}{3}} = 36[/tex]
More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The volume of the cylinder is ?
The volume of a cylinder with the same radius and double the height is ?
Answer:
Step-by-step explanation:
The volume of the original cylinder = pi * r^2 * h
Givens
r = 6 in
h = 3 in
pi = 3.14
Solution
V = pi * r^2 * h
V = 3.14 * 6^2* 3
V = 3.14 * 36 * 3
V = 339. 12
Part 2
If you double the height, you will double the volume
V = 3.14 * 36 * 6
V = 678.24
If VZ=p–7 and WY=p–21, what is the value of p?
Answer:
35
Step-by-step explanation:
By the triangle midsegment theorem, 2(WY)=VZ.
So, 2(p-21)=p-7, meaning p=35
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29. For any minutes over 250, Tracy is charged $0.35 per minute. Which of the following piecewise functions represents charges based on Tracy's cell phone plan?
Answer:
[tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]
Step-by-step explanation:
Let x represent the total time spent calling and f(x) represent the charges.
Since Tracy is charged $29 for 250 free minutes, hence:
For x ≤ 250, f(x) = $29
Tracy is charged an extra $0.35 per minute for calls over 250 minutes, hence:
For x ≥ 250, f(x) = 29 + 0.35(x - 250)
Therefore this can be represented by the piecewise function:
f(x)= [tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]
If p(x) = x2 - 1 and 9(x) = 5(x - 1), which expression is equivalent to (0-9)(x)?
5(x - 1) - x2 - 1
(5x-1) - (x² - 1)
(x2 - 1) - 5(x - 1)
(x2 - 1) - 5x-1
Answer:
x^2 -1 - 5(x-1)
Step-by-step explanation:
p(x) = x^2 - 1 and q(x) = 5(x - 1)
p(x) - q(x) = x^2 - 1 - ( 5(x-1))
Distribute
= x^2 -1 - 5(x-1)
which object is more likely to be 5kg?
a lamp
a car
a dollar bill
????
Answer:
A dollar bill is to light and the car is two heavy so the car
Step-by-step explanation:
Hope this helps!
Pretty sure a lamp.
A car would be 1000kg, a dollar bill less than 1kg, so most likely a lamp.
I need answered asap please! Explain what dilations and scale factors would be considered similarity transformations.
Ok tell me why y'all are on so late on this app just go to sleep no disrespect
Answer:
Time varies, some people are awake
2.9. AP-2
Write an equation for the line in slope-intercept
form
S
6
2
2
4
6
8
The equation is
(Use integers or fractions for any numbers in the equation)
0
More
Enter your answer in the answer box and then click Check Answer
Answer:
y = 1/4x + 17/4
Step-by-step explanation:
first lets umm find the slope
use points that you can um clearly see ?
(4, 6) and (8, 7)
so use the equation y2 - y1/ x2 - x1
soooo
7 - 6/ 8 - 4
1 / 4
so it looks like:
y = 1/4x + b
so far
now we have to find the y-intercept with a point we did not use yet
but i have a little trouble so ill try my best to estimate a point
(2, 5)
we substitue
5 = 1/4(3) + b
5 = 3/4 + b
b = 5 - 3/4
b = 17/4
i want to check but its hard looking for exact points. i think this is the answer hope this helps!
What is the slope of a line that is perpendicular to the
graph of y=1/6x+8 ?
Select one:
-6
6
1/6
-1/6
Answer:
A. -6
Step-by-step explanation:
The slope of the line that is perpendicular to the graph y = ⅙x + 8, is a negative reciprocal of the slope of the graph, y = ⅙x + 8.
What this means is that, if you multiply the slope of y = ⅙x + 8, and the slope of the line perpendicular to it, you would have -1. That is [tex] m_1 * m_2 = -1 [/tex].
Where,
[tex] m_1 [/tex] = slope of y = ⅙x + 8.
[tex] m_2 [/tex] = slope of the line perdendicular to y = ⅙x + 8.
The slope of y = ⅙x + 8 is ⅙.
Substitute [tex] m_1 [/tex] = ⅙ into [tex] m_1 * m_2 = -1 [/tex], to find the slope [tex] (m_2) [/tex] of the line that is perpendicular to the graph of y = ⅙x + 8.
[tex] \frac{1}{6} * m_2 = -1 [/tex]
Multiply both sides by 6
[tex] \frac{1}{6} * m_2 * 6 = -1*6 [/tex]
[tex] 1*m_2 = -6 [/tex]
[tex] m_2 = -6 [/tex]
The slope of the line that is perpendicular to the graph of y = ⅙x + 8 is -6.
giving branlist + 100 points if right
Answer:
x=5 I think I'm not sure though please correct me if I'm wrong
Step-by-step explanation:
Hope it helps :)
Brainliest pls?
Have a good day/night
Answer:
x=5
Step-by-step explanation:
Need help on this question ASAP PLEASE and thank you !
Answer:
Step-by-step explanation:
Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex]
Solving Inequalities
Jade saves dimes and quarters to use for exact bus fare. So far, she has saved 30 coins that have a total value of less than $5.10. Solve the inequality 10x+25(30-x) < 510 and use the solution the determine the least number of dimes that Jade could have saved.
????????
Step-by-step explanation:
Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S − 1.9 x = 4.9 gives the amount of sales ( S ) of statin in billions of dollars x years after 1998. According to this equation, how much will/did people in the U.S. Spend on statins in the year 2005? Answer: People in the U.S. Will spend billion dollars on statins in 2005.
Answer:
People in the U.S. Will spend 18.2 billion dollars on statins in 2005.
Step-by-step explanation:
Given:
S − 1.9x = 4.9
Where,
S = sales of statin in billions of dollars
x = years after 1998
how much will/did people in the U.S. Spend on statins in the year 2005?
2005 is a year after 1998
Number of years = 2005 - 1998
= 7
x = 7 years
S − 1.9x = 4.9
S - 1.9(7) = 4.9
S - 13.3 = 4.9
Add 13.3 to both sides
S = 4.9 + 13.3
= 18.2
People in the U.S. Will spend 18.2 billion dollars on statins in 2005.
Please help (i’ll give brainliest)
Answer:
I hope this helps!! Have an Amazing Day!! Let me know if it is wrong.
Ajay bought one pound of strawberries for $7.20. what is the price, in dollars per ounce of strawberries?
Answer:
$0.45 or 45 cents
Step-by-step explanation:
If i'm not mistaken.
in one pound, there are 16 ounces. Therefor, just divide 7.20 by 16 and you get 0.45. or 45 cents.
Hope this helps, brainliest is appreciated! :)
Have a great day! cx
~Mitsuna
Evaluate the function rule below when x= -2
f(x)=-x+2
Answer:
f(- 2) = 4
Step-by-step explanation:
substitute x = - 2 into f(x) , then
f(- 2) = - (- 2) + 2 = 2 + 2 = 4
Answer:
Given function: [tex]f(x)=-x+2[/tex]
To evaluate the function when [tex]x=-2[/tex], substitute the given value for [tex]x[/tex] into the function and solve:
[tex]\implies f(-2)=-(-2)+2[/tex]
[tex]\implies f(-2)=2+2[/tex]
[tex]\implies f(-2)=4[/tex]
Please help me for brainliest
Answer:
y=-5/3x-1
Step-by-step explanation:
Of course! Two parallel lines will have the same slope. So, we have to eliminate all equation that dont have the slope -5/3. We are left with the third option.
Answer:
[tex]y = - \frac{5}{3}x - 1 [/tex]
Step-by-step explanation:
[tex]since \: both \: lines \: have \: te \: same \: slope : \\ then \: the \: equation \: of \: a \: line : slope \: intercept \\ \: is \: given \: by : \\ y - y_{1} = m(x - x_{1}) \\ but \: the \: slope, \: m \: = - \frac{5}{3} \\ y - 4 = - \frac{5}{3}(x - ( - 3)) \\ y - 4 = - \frac{5}{3}x - 5 \\ y = - \frac{5}{3}x - 1 [/tex]
The dinosaur's ribs and arms are at the intersection of the diagonals shown in the diagram. Compute their equations!
First, compute the slopes:
Slope of l:
Slope of m:
Answer:
Slope of l:
0.5
Slope of m:
✔-0.75
Step-by-step explanation:
Line l:
y - 4 = 0.5(x - 1)
Line m:
y - 5 = -0.75(x - 43)
last part is Line l:
y = 0.5x + 3.5
Line m:
y = -0.75x + 37.25
Answer:
(Did it on edge)
Step-by-step explanation:
please help this is due by tomorrow!
Answer:
(A.) 1/9
Step-by-step explanation:
So there are 9 options to choose from and the question asked about 2 of them.
I took those 2 and multiplied them by 9 which gave me 18.
So I put 2 over 18 which can be simplified by 2.
So my final answer was 1/9.
[tex]2 * 9 = 18\\\\\frac{2}{18} = \frac{1}{9}[/tex]
please solve it
I need to submit this by tomorrow
Answer:
1
Step-by-step explanation:
[tex](3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1[/tex]
ill give u 50 points!!
Answer:
4. C
5. I think D
6. A
7. B
Step-by-step explanation:
I hope this is correct and it helped