Answer:b = -0.0013a + 211
Step-by-step explanation:
Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .
As the question specifies to use a for altitude and b for boiling point, change the variables equation to
b is the boiling point.
m is the slope.
a is the altitude.
c is the y-intercept.
To find the slope, we can use the equation except x is a and y is b.
The sets of information given are:
8500 ft, the liquid boils at 199.95° (This can be info set 1)
4300 ft, the liquid boils at 205.41° (This can be info set 2)
Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.
m = -0.0013
Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.
b = ma + c
199.95 = (-0.0013)(8500) + c <= Simplify
199.95 = -11.05 + c
199.95 + 11.05 = -11.05 + 11.05 + c <=add 11.05 on both sides to isolate c
c = 211 <= y-intercept
Put the y-intercept and slope into the equation of a line:
b = ma + c
b = -0.0013a + 211 <= This is the equation for the problem.
HELP MATH EXPERTS ! Points 15 !!.
Answer:
its B
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
it's quite simple actually. It's so simple I don't know how to explain.
what is The difference of 2.1 and twice a number p is negative 4.7 converted to numbers
Answer:
3.4 or 3 and 2/5
Step-by-step explanation:
A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
b. If the total distance was less than 30 km, form an inequality in , and
then solve it!
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question;
A kid traveled a distance of 9 km by bike, and then walked a distance of x km.
a.Find the total distance traveled in terms of x
b. If the total distance was less than 30 km, form an inequality in x, and
then solve it!
a) Total distance = distance travelled by bike + distance walked
Total distance = 9km + xkm
Total distance = (9+x)km
b) If the total distance was less than 30 km, the inequality representing this is;
9+x < 30
Subtract 9 from both sides;
9+x-9 < 30-9
x < 21
hence the solution to the inequality is x< 21
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(5,7) y=2x+5
Answer:
y = 2(x-5) + 7
Step-by-step explanation:
What is 5.790 divided by 2.3
Answer:
Step-by-step explanation:
5.790/2.3=2.5173913
Answer:
2.51739130435
Step-by-step explanation:
How do you find the total cost of a $12.95 DVD after the tax is added. The tax rate is 6.25%.
Answer:
the correct answer would be 13.75
out of 300marks a student got 207 what is the score in percent
Answer: 69%
Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100
ASAP
Can someone please helppp
Answer:
Option 4
Step-by-step explanation:
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
Ratios that are equivalent to 7/3
Answer:
14:6, 21:9, 28:12
Step-by-step explanation:
Factor by grouping
x^3+2x^2-9x-18
Answer:
(x+2)(x+3)(x-3)
Step-by-step explanation:
Group and factor out the greatest common factor (GCF), then combine.
Hope this helps!!
3,998-(-7)
Please i need help
Answer:
4005
Step-by-step explanation:
Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]
Question and choices below:
Step-by-step explanation:
The general form for a quadratic or cubic equation is:
y = a (x − h)ⁿ + k
If |a| is between 0 and 1, it's a vertical shrink. If |a| is greater than 1, it's a vertical stretch. If a is negative, there's a reflection over the x-axis.
h is the horizontal translation. If h is positive, there's a translation to the right. If h is negative, there's a translation to the left. (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)
k is the vertical translation. If k is positive, there's a translation up. If k is negative, there's a translation down.
f(x) = (x + 1)³ − 7
f(x) = 1 (x − -1)³ + -7
a = 1, h = -1, k = -7
This is y = x³ translated 1 unit to the left and 7 units down.
g(x) = -½ (x − 2)³
g(x) = -½ (x − 2)³ + 0
a = -½, h = 2, k = 0
This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.
y = -(x − 4)³ − 2
y = -1 (x − 4)³ + -2
a = -1, h = 4, k = -2
This is y³ reflected over the x-axis, translated 4 units right and 2 units down.
h(n) = -2n² + 4; Find h(4)
A.-28
B.68
C.28
D.-4
Answer:
-28
Step-by-step explanation:
h(4)=-2(4)^2+4
-32+4=-28
Find the value of x.
A pair of jeans regularly priced for $50 have been marked down by 10%. What is the new sale price?
HELP ASAP!!! PLEASE
Answer:
5
Step-by-step explanation:
Answer:
$46
Step-by-step explanation:
PLEASE I NEED YOUR HELP! THANK YOUU!
Answer
Maximum point of (-2, 4)
Step-by-step explanation:
the maximum point in this case is the vertex because its the highest point of the graph
help i will give brainlist.
Answer:
3m^4
Step-by-step explanation:
the third one
Answer:
The third option
Step-by-step explanation:
Exponents are the little numbers up and to the right. None of the other options have a little number (exponent) of 4
A fisherman can row upstream at 5 mph and downstream at 10 mph. He started rowing upstream until he got tired and then rowed downstream to How far did the fisherman row if the entire trip took 3 hours? starting point
Answer:
We have been given that the upstream speed is and the down stream speed is .
Let the fisherman traveled a distance of x miles.
The total time of the trip is 6 hours.
Relations between speed (s), time (t) and distance (d) is
Hence,
Time upstream + time downstream = 6
lcm = 10
=>
Cross multiplying,
x = 20 miles .. Answer.
Step-by-step explanation:
The correct answer would be; 20 miles.
[tex]MissJiao[/tex]
Broo please help me omg
Answer:
9. -2
10. 0
Step-by-step explanation:
It is not undefined because the slope of horizontal lines are 0
Help me please!! I can’t figure this out...
Answer:
-2
Step-by-step explanation:
-2-4/3-0=-2
you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values
Answer:
-2
Step-by-step explanation:
You can use the equation rise over run, which is basically y2-y1 over x2-x1
Y2 is -2 and y4 is 4, x2 is 3 x1 is 0
-2-4 over 3-0=-6/3=-2
Chin bought 12 pounds of apples for $6. Use the ratio table to find the cost of buying 3 pounds of apples. *
Answer: The answer should be 1.5.
Step-by-step explanation:
$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5
Answer:
$.5
Step-by-step explanation:
hope this helps y'all
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Answer:
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
What is the transformation!
reflection, rotation, translation, none of them !
Answer:
translation
Step-by-step explanation:
Sliding: moving a shape without rotating or flipping it.
Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?
Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of [tex]1\dfrac14[/tex] cups of flour and [tex]\dfrac12[/tex] stick of butter.
Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex] [tex]y_1=\dfrac{1}{2}[/tex]
For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]
Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
15/2 cups of flour!
Plz help me I need it done
Answer:
75 degrees
Step-by-step explanation:
Straight angles are 180, so since we already know one side (105 degrees). This means that 105+x=180
If you solve it you get 75
please help me with this
ponca city reports a temperature of 3° below zero marshall city reports a temperature of 5° below zero which city has the lower temperature ?
Answer:ok well it’s 5 because if it’s below zero it’s lower so it’s 5
Step-by-step explanation:
You sure you are in high school?
(03.06 MC) The first four terms of a sequence are shown below: 8, 5, 2, −1 Which of the following functions best defines this sequence? f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1 f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1
Answer:
the last one. f(n) - 3; for n ≥ 1
Answer:
D) f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1
Given these two data sets, IQ-GPA and IQ-SAT, how would you predict Justin’s SAT score based on his GPA? Explain.
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
have a great day!
Answer:
First, use the equation of the trend line to find the IQ that is expected by the GPA. Next, use the other equation of the trend line to find the SAT that is predicted by the IQ.
Step-by-step explanation:
it was correct on edge