Multiply. Write each product in simplest form, 1 4/5 x 1/2
8/9
9/8
1 1/8
1/8
9/10 or 0.9
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the relationship between altitude and the boiling point is linear.AT an altitude of 8300ft 8300 ft , the liquid boils at 194.23 194.23 degrees Fahrenheit an altitude of 4200 ft , 4200 ft , the liqiud boils at 202.02 202.02 degrees fahrenheit.Write an equation giving the boiling point b b of the liquid,in degrees fahrenheit in terms of altitude a in feet . feet . What is the boiling point of the liqud at 2600 ft 2600 ft
Complete Question
The relationship between altitude and the boiling point is linear. At an altitude of 8300ft, the liquid boils at 194.23 ° F
At an altitude of 4200 ft , the liquid boils at 202.02° F.
Write an equation giving the boiling point b of the liquid, in terms of altitude a in feet . feet . What is the boiling point of the liquid at 2600ft
Answer:
The equation is [tex]y = -0.001943x + 210.3569 [/tex]
At 2600ft the temperature is [tex]y = 205.3051 \ °F [/tex]
Step-by-step explanation:
From the question we are told that
The temperature at 8300ft is 194.23 ° F
The temperature at 4200 ft is 202.02° F
Generally the slope for this relationship is mathematically represented as
[tex]m = \frac{ 202.2 - 194.23}{ 4200 - 8300}[/tex]
=> [tex]m = 0.001943 ^o F / ft [/tex]
Generally the according to the point slope formula is
[tex]y - y_1 = m(x -x_1 )[/tex]
=> [tex]y - 194.23 = -0.001943 (x - 8300 )[/tex]
=> [tex]y - 194.23 = -0.001943x + 16.1269 [/tex]
=> [tex]y = -0.001943x + 210.3569 [/tex]
Now we are given from the question that x = 2600 ft
Then
[tex]y = -0.001943(2600) + 210.3569 [/tex]
=> [tex]y = 205.3051 \ °F [/tex]
A local city collects
7% sales tax. If the
total purchase was
$321.00, then how
much was collected for
sales tax?
Simplify the following expression,
(5^2)^-1
PLSS HELP DUE IN 4 MINS
Answer:
The inverse is 1/2x -1/2
Step-by-step explanation:
f(x) = 2x+1
y = 2x+1
Exchange x and y
x = 2y+1
Solve for y
Subtract 1
x-1 = 2y+1-1
x-1 =2y
Divide by 2
x/2 -1/2 = 2y/2
1/2x -1/2 = y
The inverse is 1/2x -1/2
Which expression isequivalent to (65) (62)?
A librarian has 16 books that she plans to place in a specific order on her shelf: 7 of them are identical copies of The Shining, 5 of them are identical copies of Carrie, and 4 of them are identical copies of Misery. How many different orders of all 16 of these books are there?
Answer:
3
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
Triangle ABC is dilated by a scale factor of 4. If A is located at (3,-5), where will A’ Be located?
Answer:
Step-by-step explanation:
Multiply both numbers by 4. That is your new coordinates. (12,-20)
Can someone help me find the slope of each set of ordered pairs?
The first is, (5, 7) and (-1, 3)
The second is, (-3, -5) and (3, -15)
I think the first is positive 2/3, but for the second I am stuck
Answer:
3-(-3) / -15-(-5)
= 3+3/-15+5
=6 /-10
= -3 /5
Hope it helps You
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√27
A. 3√3
B. 6√7
Which one?
Answer:
√27 = A. 3√3
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
3 √ 3
helpppp quickkkkkkkkk
Answer:
your answer is the last on the bottom
What describes the reflection of the figure?
A) reflection over the x-axis
B) reflection over the y- axis
C) reflection over the line x=2
D) reflection over the line x=-2
The variables y and x have a proportional relationship, and y = 24 when x = 16.
What is the value of x when y = 36?
x = 16
x = 24
x = 36
x = 54
Answer:
b) x = 24
Step-by-step explanation:
if y is 24 and x is 16, they make the fraction [tex]\frac{24}{16}[/tex]
this can be simplified to [tex]\frac{3}{2}[/tex] if you divide both sides of the fraction by 8.
36/3 is 12, and 12 * 2 = 24.
so, x = 24
Answer:
x=24 or B is the correct answer.
I took the test, and this was the correct answer. Hope this helped-!
I REALLY REALLY NEED HELP
Answer:
answer all?
Step-by-step explanation:
Answer:
1- SF: 2; X:7
2- SF:2.5; X:10.5
3- SF:1.5; X:7.5
4- SF:3; X:9.4
Step-by-step explanation:
Given QRS =TUV,QS=3n+4,and TV=6n-8,find the length of QS and TV.
Answer: A. 16
Step-by-step explanation:
It would be C, but at the end you have to plug it in the 3n + 4. :)
Equations
#1: Tell whether the function below is linear or exponential.
1 pc
y = 3x - 7
It’s it a linear or exponential
Answer:exponential
Step-by-step explanation:
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth?
Answer: 5.9
9.94 rounded to the nearest tenth is 5.9
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-4 5/6 + (3 1/3) =
How dI you do this?
subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)
Answer: -6- (8.4) =1.2x +8.4 - (8.4)
X = - 12
Simplify
-5y - X + 7 - 2y + 3x + 4
Answer:
-7y + 2x + 11
Step-by-step explanation:
-5y - X + 7 - 2y + 3x + 4
-7y + 2x + 11
Answer: 2x-7y+11
Step-by-step explanation:
Add the x's and then add the y's. add the 4 and seven because they do not have a variable.
The graph represents one side of the roof of a building.
Answer:the answers are: 0,1 and 2,7 and 4, 14
Step-by-step explanation:
Switch them if not in the right order, one of them is 2,7 because one of the dots are in between 6 and 8
I WILL GIVE CROWN WHO ANSWERS CORRECTLY
The sum of 5 amd 8 terms of an A.P is 37 and its 11 term is 32 find the A.P
Sum of 5th & 8th terms of an AP = 37
11th term = 32
Find:A.P
Solution:We know that,
nth term of an AP – an = a + (n - 1)d
Hence,
⟹ a₅ + a₈ = 37
⟹ a + (5 - 1)d + a + (8 - 1)d = 37
⟹ 2a + 4d + 7d = 37
⟹ 2a + 11d = 37 -- equation (1)
Similarly,
⟹ a₁₁ = 32
⟹ a + (11 - 1)d = 32
⟹ a + 10d = 32
⟹ a = 32 - 10d
Substitute the value of a in equation (1).
⟹ 2(32 - 10d) + 11d = 37
⟹ 64 - 20d + 11d = 37
⟹ 64 - 37 = 20d - 11d
⟹ 27 = 9d
⟹ 27/9 = d
⟹ 3 = d
Substitute the value of d in equation (1).
⟹ 2a + 11(3) = 37
⟹ 2a + 33 = 37
⟹ 2a = 37 - 33
⟹ 2a = 4
⟹ a = 4/2
⟹ a = 2
Now,
General form of an ap = a , a + d , a + 2d...
⟶ Required AP = 2 , 2 + 3 , 2 + 2(3)...
⟶ Required AP = 2 , 5 , 2 + 6...
⟶ Required AP = 2 , 5 , 8...
I hope it will help you.
Regards.
Answer:
→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]
→ 4md - 2nd = 2 * [ a + (n - 1)d ]
→ 2(2md - nd) = 2 * (a + nd - d)
→ 2md - nd - a + d = nd
→ 2md - nd - (md - 2nd) + d = nd
[ From equation (1) ]
→ 2md - nd - md + 2nd + d = nd
→ md + nd + d = nd
→ (m + n + 1)d = n * d
→ (m + n + 1) = n
Step-by-step explanation:
.To find a shoe size, the manufacturer uses the equation S = 3f - 22, where S
represents the shoe size and f represents the heel-to-toe length of the foot, in
inches. Which of the following is the same equation solved for fin terms of
S?
See attachment for math work and answer.
Answer:
Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?
A. $486.93
B. $483.93
C. $489.93
D. $480.93
Step-by-step explanation:
help me with this question
Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *
Answer:
Total deductions = $196.24
Step-by-step explanation:
Gross weekly salary = $680
federal holding = $101.62
FICA standard rate = 7.65% of gross earnings
= 7.65% of $680 = 0.0765 × 680 = $52.02
∴ FICA deductions = $52.02
state tax = 1.5% of gross pay = 1.5% of $680
state tax = 0.015 × 680 = $10.2
∴ state tax = $10.2
Medical insurance = $32.40
Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24
what is value of x , 1x + 2x = 30
Answer:
x = 10
Step-by-step explanation:
1x + 2x = 30
3x = 30
x = 10
Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP
Answer:
(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]
(2) [tex]3x + 2y\leq[/tex] 24
(3) [tex]x+4y\leq 28[/tex]
Step-by-step explanation:
Let x and y be the numbers of rockers and swivels made by Ethan.
(1) Since the number of chairs can't be negative. So,
x\geq0 and y\geq 0 are the two constraints.
(2) He can work a maximum of 24 hours.
The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.
So, the time required to make x rocker chair = 3x hr
and the time required to make y swivel chair = 2y hr.
The total time required is 3x + 2y hr which can't be more than the available time, 24 hr.
So, the required constraint is
[tex]3x + 2y\leq 24[/tex]
(3) Similarly,
As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.
So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.
So, the required constraint is
[tex]2x + 8y\leq 56[/tex]
[tex]\Rightarrow x+4y\leq 28.[/tex]
Given the graph what is a,h,k
Write the formula for the volume of a cone V = 13π r2 h in terms of h.
Find the height h of a cone with volume V = 32π cm3 and radius r = 4 cm.
Formula:
Height:
Answer:
Formula: V = 1/3πr^2h
Height: 6cm
Step-by-step explanation:
step one:
given information
volume =32π cm^#
radius=4cm
step two:
The formula is
V = 1/3πr^2h
substituting we have
32π =1/3π*4^2*h
32π=16πh/3
π cancels out
step three:
cross multiply we have
32*3=16h
divide both sides by 16 we have
96/16=h
h=6cm
Find the equation of a line that passes through the points (1,-3) and (3,-4).
Leave your answer in the form
y=mx + c