The curve of best fit is an illustration of a quadratic regression
The equation of the curve of best fit is [tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex], and the height of the frog after 6 seconds is 2 feet
How to determine the equation of the curve of best fit?To determine the equation of the curve of best fit, we make use of a graphing calculator
Using the graphing calculator, we have the following calculation summary
a = -17/18b = 17/3c = 2The equation of the curve of best fit is represented as:
[tex]y = ax^2 + bx + c[/tex]
Substitute the values for a, b and c.
So, we have:
[tex]y = -\frac{17}{18}x^2 + \frac{17}3x + 2[/tex]
After 6 seconds, the value of x is 6.
So, we have:
[tex]y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2[/tex]
Evaluate
[tex]y = 2[/tex]
Hence, the height of the frog after 6 seconds is 2 feet
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A sphere and a cone have the same volume. The sphere has a radius x and height y. The cone has a radius of 1/2x. Find the height of the cone in terms of y.
Answer:
h = 16x
Step-by-step explanation:
The volume of a sphere and a cone is same such that,
[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h[/tex]
We have, r = x, R = (1/2)x, h= ? (height of the cone)
So,
[tex]\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x[/tex]
So, the height of the cone is equal to 16x.
Situation:
Find the age of the spear head to the nearest
year.
An archaelogist in Turkey discovers a
spear head that contains 32% of its
original amount of C-14.
Enter the correct answer.
DONE
N = Noekt
No - inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Looking up, Josh sees two hot air balloons in the sky as shown. He determines that the lower hot air balloon is 700 meters away, at an angle of 38 from the vertical. The higher hot air balloon is 1050 meters away, at an angle of 26 from the vertical. How much higher is the balloon on the right than the balloon on the left? Do not round any intermediate computations. Round your answer to the nearest tenth.
Answer:
In right angled triangle ABC
tan 26=perpendicular/base
tan26 =BC/1050
BC=1050×tan26=512.12m
again
In right angled triangle ADE
tan 38=perpendicular/base
tan38×700=DE
DE=546.9=547m
now
difference in height =547-512.12m=34.8m=35m
35 m is your answer
Josh sees two hot air balloons in the sky as shown. 35m higher is the balloon on the right than the balloon on the left.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
Josh sees two hot air balloons in the sky as shown.
He determines that the lower hot air balloon is 700 meters away, at an angle of 38 from the vertical.
The higher hot air balloon is 1050 meters away, at an angle of 26 from the vertical.
In right-angled triangle ABC
tan Ф = perpendicular/base
tan26 = BC/1050
BC = 1050 × tan26
BC = 512.12m
In right-angled triangle ADE
tan Ф = perpendicular/base
tan 38 = perpendicular/base
tan38 × 700 = DE
DE = 546.9
DE = 547m
The difference in height = 547 - 512.12m
=34.8m
= 35m
Therefore, 35m higher is the balloon on the right than the balloon on the left.
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also need help with this one!!
How is the term work different than the term power?
Work is defined as the process of energy transferred to an object through force. Whereas power is defined as the amount of energy transferred in unit time.
Which is equal to sin 30°?
A. cos 30°
B. cos 60°
C. sin 60°
D. sin 70
On a coordinate plane, a red line, labeled g of x, begins on a negative slope, crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and crosses the x-axis on a positive slope at (2, 0). A straight blue line with a negative slope, labeled f of x, crosses the y-axis at (0, 2) and the x-axis at (2, 0).
Which statement is true regarding the functions on the graph?
Answer:
A
Step-by-step explanation:
PLZ HELP NEED BY TODAY!!
Answer:
x=20 degrees.
Step-by-step explanation:
HELP
I WILL GIVE YOU BRAINLIEST
Please help asap!
The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups: All teachers in the school All boys in each grade All students in each grade All students in the social studies club Which group best represents the population he should take a random sample from to get the best results for his survey?
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Answer:all students in the social studies club
Answer:
I dont know the answer to this but I was putting this here to tell you how much of a good person you are. I was taking the ming china cause and effect chart and I didnt know the answer and your answer on that helped me alot and thank you very much you helped my grade to go from a b to an a thank you you are one of the kindest people I know. Thank you :)
Step-by-step explanation:
Find the area of each figure.
Please no links
Please help meee
This is the last question for my assignment
g(x)=-3x-8
g( )=10
what does x equal?
Answer: X = 24/G
G = 24/x
Step-by-step explanation:
A recipe uses cups of milk to make servings. If the same amount of milk is used for each serving, how many servings can be made using gallon of milk?
Answer:
128 servings
Step-by-step explanation:
A recipe Uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using one gallon of milk
Cups of milk : number of servings = 1 1/4 cups : 10 servings
One gallon of milk = 16 cups
Let x = number of servings
Cups of milk : number of servings = 16 cups : x
Equate both ratios
1 1/4 : 10 = 16 : x
5/4 ÷ 10 = 16/x
5/4 × 1/10 = 16/x
5/40 = 16/x
1/8 = 16/x
Cross product
1 * x = 8 * 16
x = 128 servings
Number of servings = 128
−k+2(−2k−5) simplified
Step-by-step explanation:
Square Mc hammered Square Puff
Answer:
-5(k + 2)
Step-by-step explanation:
CHOOSING BRAINLIEST ( INCLUDES SCREENSHOT )
This table shows a directly proportional relationship between the distance Craig runs and the number of track practices he attends.
x | y
4 | 12
5 | 15
6 | 18
What is the distance Craig runs if he attends 9 track meets ?
Answer:
27 miles
Step-by-step explanation:
Find the linear equation which is y = 3x
y = 3(9)
y = 27
Answer:
27 miles is the answer
Step-by-step explanation:
x | y
4 |12
5 | 15
6 |18
7 |21
8 | 24
9 |27
x is increasing by 1 and y by 3 so by this way 27 is the answer
It cost $5 to send 6 packages through a certain shipping company. Consider the number of packages per dollar. Find the constant of proportionality for this situation. ENTER ONLY A NUMERICAL ANSWER. NO WORDS, SYMBOLS, OR ADDITIONAL SPACES
Answer:
1.2 packages per dollar
Step-by-step explanation:
Number of packages = 6
Total cost in dollars = $5
Number of packages per dollars = Number of packages / Total cost in dollars
= 1.2 packages per dollar
Let
P = number of packages
d = cost in dollars
k = constant of proportionality
P = k * d
6 = k * 5
k = 6/5
k = 1.2
Constant of proportionality = 1.2
Which is 6log + 4log (x+6) written as a single logarithm?
Answer:
B
Step-by-step explanation:
6log x + 4log (x+6) = log [tex]x^{6}[/tex] + log [tex](x + 6)^{4}[/tex] = log [tex]x^{6}[/tex][tex](x + 6)^{4}[/tex]
1/2 (65+75) = ??????? solve
Answer:
70
Step-by-step explanation:
First solve the parenthesis 65 + 75= 140
The find half of 140--->70
Answer:
70
Step-by-step explanation:
1 / 2 ( 65 + 75 )
= 1 / 2 ( 140 )
= 140 / 2
= 70
What is the angle measurement of angle LON?
There are eight boys and six girls who are members of the trumpet section in the band. From the members of the trumpet section, a quintet is being formed. If the quintet must consist of three boys and two girls, how many quintets are possible?
Answer:
8 c 3 * 6 c 2 = 56 * 15 = 840 ways
Step-by-step explanation:
First, we consider how many ways there are to choose three boys from eight. There are 8 choices for the first boy, 7 for the second, and 6 for the third. However, because the boys are indistinct from one another, we have overcounted, and must divide by 3*2. Similarly, there are 6*5 ways to choose the two girls, divided by 2 for overcounting. Thus, there are (8*7*6*6*5)/(3*2*2)=840 possible quintets.
Solve for x
eaesfdsdfeasfsef
77
11 X 7 is 77.
if u get two numbers on a shape you just multiply it
Triangle A B C. Angle C is 90 degrees. Hypotenuse side A B is c, C B is a, C A is b. Solve the right triangle shown in the figure. Angle B = 23.4 degrees, Side A B = 3.3 millimeters, angle C = 90 degrees a. Side B C = 2.2 millimeters, Angle A = 66.6 degrees, Side A C = 2.4 millimeters c. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 2.2 millimeters b. Side B C = 3.0 millimeters, Angle A = 66.6 degrees, Side A C = 1.3 millimeters d. Side B C = 1.3 millimeters, Angle A = 66.6 degrees, Side A C = 3.0 millimeters
*see attachment for the figure
Answer:
Side BC = 3.0 millimeters, Angle A = 66.6 degrees, Side AC = 1.3 millimeters
Step-by-step explanation:
Given:
C = 90°
B = 23.4°
AB = c = 3.3 mm
Required:
<A, BC, and AC
Solution:
✔️m<A = 180° - (90° + 23.4°) (sum of triangle)
m<A = 66.6°
✔️To find BC and AC, apply trigonometric function:
Reference angle = 23.4°
Hypotenuse = 3.3 mm
Opposite = AC
Adjacent = BC
✅Apply CAH to find AC:
Cos 23.4 = Adj/Hyp
Cos 23.4 = BC/3.3
3.3 × Cos 23.4 = BC
3.02859027 = BC
BC ≈ 3.0 mm
✅Apply SOH to find AC:
Sin 23.4 = Opp/Hyp
Sin 23.4 = AC/3.3
3.3 × Sin 23.4 = AC
1.31058804 = AC
AC ≈ 1.3 mm
Answer: B bc=3.0mm, A=66.6, AC=1.3mm
Step-by-step explanation:
Kelby has several pets. She has B birds, C cats, and F frogs.
The expression B + (C+F) represents the total number of pets Kelby has.
What does C + F represent in this context?
Choose 1 answer:
The total number of cold blooded pets
B
The total number of warm-blooded pets
The total number of pets with 2 legs
D
The total number of pets with 4 legs
Please hurry and answer! Will mark brainliest!!!
Answer:
y = 2x + 3
Step-by-step explanation:
We need to find m and b
Let's input the first 2 points (3, 9) and (5, 13) into y = mx + b
9 = m*3 + b
13 = m*5 + b
subtract the first from the second
13 - 9 = m*5 + b - (m*3 + b)
4 = m*2
m = 2
Now let's input m = 2 into 9 = m*3 + b
9 = 2*3 + b
9 = 6 + b
3 = b
So the final relationship is y = 2x + 3
We can verify that the other two points (8, 19) and (11, 25) also conform to this relationship.
Slope-intercept equation from graph
Find the equation of the line.
⚠️WILL GIVE BRAINLIEST⚠️
A. (0,5)
B. (0,2)
C. (-1,3)
D. (-3,-1)
Answer:
(0,5)
x,y
Step-by-step explanation:
Can I get help for this?
18. When you graph an inequality, you used a closed dot when
you use which symbols?
a) 5,2
I b) >
c),
u d) >
+
19. When graphing an inequality, you use an open dot when
you use which symbol?
a) < >
b) 3,2
O c s,&
d) 2, >
20.
What inequality does the number line graph represent?
55132101 2 3 4 5 6
a) x 54
b) x2-4
d) x <4
DC) x <-4
find the value of x in the triangle shown below
Which expressions are equivalent to the expression shown below? Select all that apply. 6x + 3y – 2x + 4y – 2y + x + 5x A 10x + 5y B 6x – 2x + x + 5x + 3y + 4y – 2y C 14xy D 22xy E 14x + 9y F x + 2x + 3y + 4y + 5x + 6x
Answer:
[tex]10x + 5y[/tex], [tex]6x - 2x + x + 5x + 3y + 4y - 2y[/tex]
A and B
Will mark brainliest please help
Answer:
4) x - intercept: (-7,0)
y-intercept: (0,7)
5) x- intercept: ( 9/8, 0)
y- intercept: ( 0, -9)
Step-by-step explanation: