A mountain climber records her altitude and the surrounding temperature at various points as she ascends a mountain. She then plots the points on a scatter plot and draws a line of best fit. The equation of the line is y=−3.6x+59 , where x is the altitude in thousands of feet and y is the temperature in degrees Fahrenheit (°F). What does the slope of the equation represent in this scenario?
Answer:
-3.6
Step-by-step explanation:
The general equation of a straight line formula is represented as y = mx + c, where m is the gradient or slope of the line and c is called the intercept on the y-axis.
The equation of the line in the question above is y= −3.6x + 59 ,
Therefore comparing both equations together,
y = mx + c = y = −3.6x + 59
m = -3.6
Therefore, the slope of the equation represent in this scenario is -3.6
Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modeled by the quadratic equation h = -4.9t2 + 53.9t + 127.4, where h is the rocket's height, in meters, after t seconds. When factored, this equation is h = -4.9(t - 13)(t + 2). What is a reasonable time for it to take the rocket to land on the ground? Answer A 11 seconds Answer B 13 seconds Answer C 2 seconds Answer D 15 seconds
Answer:
13 seconds.
Step-by-step explanation:
Given
[tex]h = -4.9(t - 13)(t + 2).[/tex]
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes
[tex]0 = -4.9(t - 13)(t + 2).[/tex]
Divide through by -4.9
[tex]0 = (t - 13)(t + 2).[/tex]
Reorder the expression
[tex](t - 13)(t + 2) = 0.[/tex]
Split
[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]
This gives:
[tex]t = 13[/tex] or [tex]t = -2[/tex]
But time can't be negative, So:
[tex]t = 13[/tex]
3 – х = 11
What's x?
Answer: x=-8
Step-by-step explanation:
3-x=11
-3 -3
-x=8
/-1 /-1
x=-8
Answer:
The answer is -8
Step-by-step explanation:
u would
Percentages are always out of 80
Answer:
False, percentages are out of 100
Question in image :)
Answer:
A
x=> -6 is the inequality that represents the answer best.
Find the exact length of the third side.
60
48
I’m stuck in this helppp
Your Assignment
Answer the questions to describe the transformations of figure ABCD.
1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell.
Write your answer in the space below.
2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain.
Write your answer in the space below.
3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know?
Write your answer in the space below.
4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.
Answer:
i don't have the answer but i can add the chart for thos who can answer the question
Step-by-step explanation:
Answer:
1. Reflection
2. rotation and reflection
3. b', b''
4. 26.3
Step-by-step explanation:
1. It is like looking in a mirror. Its is being reflected across the y axis
2. It is rotated 90 degrees to the right. Then reflected over the x axis.
3. they are the same
4. It is the same as A" B" C" D" so the lengths are the same and you just add them.
Step-by-step explanation:
Which equation represents a proportional relationship?
y = 7x =3
y = 150x
y = 2x + 1
9514 1404 393
Answer:
y = 150x
Step-by-step explanation:
If the relationship is proportional, there is no added constant. The relation that is proportional is ...
y = 150x
What is the answer?
CD=______x CG fill in the blank
Answer:
GD
Step-by-step explanation:
Help me plz grades are almost due
Answer:
D. 348 square units
Step-by-step explanation:
D. 348 square units
Answer 432: B
Step-by-step explanation: You have to multiply
9 times 6 times 8.
A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?
Answer:
6
Step-by-step explanation:
brainest plz
Mrs. Gildner brought everyone that passed their Math test to Cold Stone Creamery for a treat. The cost for everyone to ice cream was $154.00. If she leaves a 15% tip, how much tip will she leave?
A. $130.90
B. $177.10
C. $139.00
D. $23.10
There are 32 marbles to share equally among 8 children. How many marbles does each child get?
Answer:
each child get 4
Step-by-step explanation:
Answer:
4 marbles
Picture:
· · · ·
· · · ·
· · · ·
· · · ·
· · · ·
· · · ·
· · · ·
· · · ·
6(2y - 1) - 2(2y) = 6
Answer:
3/2
Step-by-step explanation:
replace dis in y to check your answer
What is the value of |-25|?
Please help me ASAP
Answer: 25
Step-by-step explanation:
b. Which is an equation for the line? *
Answer:can see the line
Step-by-step explanation:
if it is linear it is =Ax+By=C
holaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
HIIIIIIIIIIII
Step-by-step explanation:
A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. In addition to paying for the purchases, the family paid 4.5% tax on the purchases. The decorator's fee was 12% of the purchases, not including the tax. Write an equation in the form of y=kx to represent the decorator's fee. Then use the equation to calculate the amount of that fee. Round to the nearest hundredths place if necessary.
Answer:
Step-by-step explanation:
Worth of furnishings = $1580
Tax rate = 4.5%
Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10
Amount paid = $1580 + $71.10 = $1651.10
Since the decorator's fee was 12% of the purchases. This will then be calculated as:
y = kx
where,
y = decorators fee
k = percentage of decorators fee on purchases
x = amount paid
y = 12% × $1651.10
= 0.12 × $1651.10
= $198.132
January 30, 2019 was the coldest day in Minneapolis-St paul i’m over 20 years the lowest temperature recorded that day was -28f the warmest temperature was 15 higher
Answer:
Whats the question?????
The savings account offering which of these APRs and compounding periods
offers the best APY?
A. 4.0784% compounded monthly
B. 4.0792% compounded quarterly
C. 4.0730% compounded daily
D. 4.0798% compounded semiannually
Answer:
The answer is "Option C"
Step-by-step explanation:
The using formula[tex]= (1+\frac{r}{n})^n -1[/tex]
→r = rate
→ n = compounded value
In choice a:
When compounded is monthly [tex]4.0784\%[/tex]
[tex]n = 12[/tex]
[tex]\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403[/tex]
In choice b:
When compounded is quarterly[tex]4.0792\%[/tex]
[tex]n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102[/tex]
In choice c:
Whenn compounded is daily [tex]4.0730 \%[/tex]
[tex]n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328[/tex]
In choice d:
When compounded is semiannually[tex]4.0798\%[/tex]
[tex]n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066[/tex]
The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys? REPOST FOR ATTENTION
Answer:
15:10
Step-by-step explanation:
consider the starting point: we have 3 bots and 2 girls. this gives a total count of 5 so we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25 so we have 5 lots of the ratio 3:2 Method: 5 lots of 3:2: 5 x (3:2)=(5 x 3):(5 x 2)= 15:10
You invest $1,000 in a fund. You check your statement at the end of April and you have lost 13%. When the statement for May comes, you see you have gained 13% in May. What is the value of your account? Round to the nearest dollar.
Answer:
You still would have $1,000
Step-by-step explanation:
In April, you lost 13% of your fund. So we will subtract it.
In May, you gain 13% back. The rate of change was 0%.
Therefore, you still have $1,000 dollars.
Answer: The answer is that you have $983.
Step-by-step explanation:
Help, this is the last question on my homework
Answer:
Hmmm maybe d if it's not d I'm sorry at least I helped you
Item 5 A bag contains 6 red marbles. The ratio of red marbles to blue marbles is 2 for every 5. Find the number of blue marbles in the bag. Item 5 A bag contains 6 red marbles. The ratio of red marbles to blue marbles is 2 for every 5. Find the number of blue marbles in the bag.
Answer:
15 blue marbles
Step-by-step explanation:
Given that:
A bag contains 6 red marbles.
The Ratio of red to blue marbles is 2:5
Thus, the ratio of red marbles for 6 red marbles in a bag will be = 6/2 = 3
Now; the ratio of blue marbles in a bag containing 6 red marbles = 3 × 5 = 15 blue marbles
OR
Mathematically;
[tex]\dfrac{2}{5} \times \dfrac{x}{x} = \dfrac{6}{blue}[/tex]
So, we are looking for the same number we can multiply for both the numerator and the denominator that can give us the value of 6 in the above numerator to determine the value of the denominator. If we use 3 since 2× 3 = 6
We have:
[tex]\dfrac{2}{5} \times \dfrac{3}{3} = \dfrac{6}{blue}[/tex]
[tex]\dfrac{2}{5} \times \dfrac{3}{3} = \dfrac{6}{15}[/tex]
So, there are 15 blue marbles in the bag.
What is the solution to the equation 3x+1-6x=72
Answer:
hope this helps
Step-by-step explanation:
Answer:
=−71/3
Step-by-step explanation:3
+
1
−
6
=
7
2
{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72
3x+1−6x=72
−
3
+
1
=
7
2
{\color{#c92786}{-3x}}+1=72
−3x+1=72
2
Subtract
1
1
1
from both sides of the equation
−
3
+
1
=
7
2
-3x+1=72
−3x+1=72
−
3
+
1
−
1
=
7
2
−
1
-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}
−3x+1−1=72−1
3
Simplify
Subtract the numbers
Subtract the numbers
−
3
=
7
1
-3x=71
−3x=71
4
Divide both sides of the equation by the same term
−
3
=
7
1
-3x=71
−3x=71
−
3
−
3
=
7
1
−
3
−3−3x=−371
5
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=−71/3
x=-\frac{71}{3}
x=−371
Graph the line that contains the point(-7,-4) and has a slope of -2/3
Answer:
Place one at (-7,-4) and the other at (-4,-6)
Step-by-step explanation:
Jamaal converted the following conic equation from general form to standard form.
amaal converted the following conic equation from general form to standard form.
4x2 + 4y2 – 16x + 24y – 12 = 0
4x2 – 16x + 4y2 + 24y = 12
4(x2 – 4x) + 4(y2 + 6y) = 12
4(x2 – 4x + 4) + 4(y2 + 6y + 9) = 12 + 4 + 9
4(x – 2)2 + 4(y + 3)2 = 25
Jamaal identifies the center of the circle as
(2, –3) and the radius as r = Five-halves.
What error, if any, did Jamaal make ?
Jamaal misidentified the center. The center should be at the point (–2, 3).
Jamaal did not complete the square correctly; he should have added 16 and 36 inside the parentheses in step 4. The radius is r = StartRoot 55 EndRoot.
Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r = 8.
Jamaal did not make an error.
Answer: C. Jamaal added 4 and 9 to the right hand side in step 4; he should have added 16 and 36. The radius is r=8.
Step-by-step explanation: edge 2020, i took one for the team boys :(
In the given conic equation, Jamaal added 16 and 36 on the left hand side. However, he added 4 and 9 on the right hand side. The radius is r = 8.
What is a general conic equation?
Ax² + Bxy + Cy² + Dx + Ey + F = 0, where x, y are variables and A, B, C, D, E, F are constant terms.
Given,
4x² + 4y² – 16x + 24y – 12 = 0
⇒ 4x² – 16x + 4y² + 24y = 12
⇒ 4(x² – 4x) + 4(y² + 6y) = 12
⇒ 4(x² – 4x) + 16 + 4(y² + 6y) + 36 = 12 + 16 + 36
⇒ 4(x² – 4x + 4) + 4(y² + 6y + 9) = 12 + 16 + 36
⇒ 4(x – 2)² + 4(y + 3)² = 64
⇒ 4(x – 2)² + 4(y + 3)² = (8)²
Therefore, the center is at (2, -3) and the radius is r = 8.
Jamaal must have added 16 and 36 on the rest hand side of the conic equation. That's the mistake Jamaal did. As a result, the value of the radius is wrong when Jamaal solved.
Learn more about conic equation here: https://brainly.com/question/26909560
#Tag #SPJ2
which point is on the graph of f(x) = 6x?
answer: (1,6)
rewrite the equation 6=9(x+3) using distributive property