Answer:
12.5 ft/s
Explanation:
Height of person = 6 ft
height of lamp post = 10 ft
According to the question,
dx / dt = 5 ft/s
Let the rate of tip of the shadow moves away is dy/dt.
According to the diagram
10 / y = 6 / (y - x)
10 y - 10 x = 6 y
y = 2.5 x
Differentiate both sides with respect to t.
dy / dt = 2.5 dx / dt
dy / dt = 2.5 (5) = 12.5 ft /s
Penny Weights, use the weights of the post 1983 pennies to construct a 98% confidence interval estimate of the standard deviation of the weights of all post-1983 pennies. S=0.0165 n=37. Find confidence interval. a. 0.01231 < Ï < 0.2111 b. 0.01239 < Ï < 0.02111 c. 0.1391 < Ï < 0.2311 d. 0.001219 < Ï < 0.002111
Answer:
c. 0.1391 < Ï < 0.2311
Step-by-step explanation:
The formula for Confidence Interval is given as:
Mean ± z × Standard deviation/√n
Z score for 98% confidence interval = 2.326
Mean = Significance level = 100% - 98%
= 2% = 0.02
Standard deviation = S=0.0165
n= 37
Hence,
Confidence Interval =
0.02 ± 2.326 × 0.0165/√37
0.02 ± 0.0063094687
Confidence Interval
0.02 - 0.0063094687
= 0.1391
0.02 ± 0.0063094687
= 0.2311
Hence, the Confidence Interval = (0.1391, 0.2311)
= c. 0.1391 < Ï < 0.2311
X+2y=-9
Solve for Y km
Answer:
y = - 1/2x - 4.5
Step-by-step explanation:
Step 1:
x + 2y = - 9 Equation
Step 2:
2y = - x - 9 Subtract x on both sides
Answer:
y = - 1/2x - 4.5 Divide 2 on both sides
Hope This Helps :)
Slope intercept form of equation
Answer:
slope= 5/3 y-intercept=3
Step-by-step explanation: Equation= y=5/3x+3
Hope this helps
btw can i have brainliest?
Arrow is planning to bake approximately 305 cookies. If 3 pounds of cookie dough make 96 cookies, how many pounds of cookie dough should he make?
Answer: 10
Step-by-step explanation: 96 divided by 3 is 32
32 x 10 = 320 you can't get exactly 305.
What is a solution to (x + 6)(x + 2) = 60?
Answer:
x=4 or -12
Step-by-step explanation:
Find the next three terms of the following arithmetic sequence -2, -5, -8, -11,
Answer: -14, -17, and -20
Step-by-step explanation: Study the sequence.
Notice that each number is 3 less than the number before it.
In other words, -2 - 3 is -5, -5 - 3 is -8, and -8 - 3 is -11.
Now, if we continue with this same sequence,
-11 - 3 is -14, -14 - 3 is -17, and -17 - 3 is -20.
So the next three numbers are -14, -17, and -20.
Who can answer this correctly for PayPal?
Answer:
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of the equal sides in an isosceles triangle are equal in measure.
m∠D = m∠F
(2x + 8) = (3x + 4)
3x - 2x = 8 - 4
x = 4
m∠D = m∠F = (3×4 + 4)°
= 16°
m∠D = m∠F = 16°
Since, sum of interior angles of a triangle = 180°
m∠D + m∠E + m∠F = 180°
16° + m∠E + 16° = 180°
m∠E = 180° - 32°
m∠E = 148°
A local club had a fundraiser to raise money for 15 different programs. They
raised $1,275. The club wants each program to get the same amount of money.
How much should each program receive?
Answer:
The answer is 85. each program gets $85 each.
Step-by-step explanation:
Divide 1275 and 15
What number makes a ratio equivalent to 7:15
Answer:
double those numbers:
14:30 is equivalent to 7:15
May I have brainliest please? :)
4x - 2y + z = 30
6x + 5y + 6z = 74
6x + 2y + 8z = 64
Answer:
lasjn sk sklan djsk
Step-by-step explanation: so jakbas akbsa
Can someone check this for me please?
Answer:
B. -4, -3
Step-by-step explanation:
The equation x^(2) + 7x + 12 can be factored using the AC method resulting in
( x + 4 )( x + 3 ). So x = -4, -3. You can use foil to check.
Your beginning balance on your lunch account is $42. You buy lunch for $1.80 every day and sometimes buy a snack for $0.85. After 20 days, you have a balance of $0.05. How many snack did you buy?
Answer:
53 snacks
Step-by-step explanation:
please help asap i don’t understand this.
Answer:
It is the second circle I believe
Step-by-step explanation:
As you can see on the x side is always just going up 1, and the y side is 2 numbers behind the x side in the beginning. But the y side catches up to the x side, which you can see once the x and y side both have positive 1's. The the y side goes up 2 more while the x side only goes up once.
Last week, a store sold laptops worth a total of $3, 885. Each laptop cost $555. How many laptops did the store sell last week?
Answer:
Should be 7
Step-by-step explanation:
Answer:
7 laptops
Step-by-step explanation:
3, 885 divided by 555= 7
What is the slope of the line through (13,6) and (13,-11)
Answer:
Undefined
Step-by-step explanation:
4(x + 63x
Part A If a and b are different real numbers, what is the form of the solution of this equation?
A. a=a
B. a= b
C. x= a
D. X=-X
Part B How many solutions does this equation have? Enter the answer in the box.
which of the following is a true statement about a rhombus? a) the diagonals are congruent b) The opposite angles are supplementary c) all four angles are congruent d) the diagonals are perpendicular
Answer:
B
Step-by-step explanation:
What is the quotient оf (x - 3x + 3x2 - 3) - (x-1)? О - 2х - 3 x + 2x +7 - 3x 48 5 - 2x +3
Zoe just lit a new candle and then let it burn all the way down to nothing. The length
of the candle remaining unburned, in inches, can be modeled by the equation
L = 9 – 0.5t, where t represents the number of hours since the candle was lit.
What is the y-intercept of the equation and what is its interpretation in the context of
the problem?
Answer:
9 which represents the the original length of the new candle
Step-by-step explanation:
Since there were 9 inches of candle remaining after 0 hours of burning, that means 9 represents the initial length of the candle, in inches.
don't know how to solve this question exactly i need help
what is the least number of degrees you could rotate a square around its center so that it appears to be unchanged?.
Answer:
Does a square have rotation symmetry? Yes, a square can be rotated \begin{align*}90^\circ\end{align*} counterclockwise (or clockwise) about its center and the image will be indistinguishable from the original square.
Step-by-step explanation:
Answer:
90°
Step-by-step explanation:
If you rotate a square about its axis, in 90°, 180°, 270°, 360°, ... degrees, it looks to be the same.
3. What is the slope of the line that passes through (7,0) and (4, 9)?
A.) 1/3
B.) 1/3
C.) -3
D.) 3
E.) none of these
Use the values in the table to calculate the cost of 14 t-shirts
Answer:
We need to see the problem or the values in the table.
Step-by-step explanation:
Thanks!
Are these lines parallel, perpendicular, or neither? 3y=x+4 and 3x+y=1
Answer:
perpendicular
Step-by-step explanation:
3y = x + 4 in slope intercept form y = 1/3x +4/3
3x + y = 1 in slope intercept form y = -3x +1
the slopes are negative reciprocals of each other so they are perpendicular
Answer:
These lines are perpendicular
Step-by-step explanation:
3y=x+4
[tex]y = \frac{1}{3}x+\frac{4}{3}[/tex]
Slope (m1) = 1/3
3x+y=1
y = -3x + 1
Slope (m2) = - 3
m1 * m2 = [tex]\frac{1}{3}* -3[/tex]
= -1
So, these lines are perpendicular.
If product of two slopes is (-1), then they are perpendicular lines.
If both lines have same slope, then they are parallel.
Help plz:))) I’ll mark u brainliest ASAP 10 points(:(:
Answer:
G > F > H
Step-by-step explanation:
In a triangle, the largest side and largest angle are opposite eachother. Similarly, the smallest side and smallest angle are opposite eachother.
We have 3 sides of length 6 cm, 11 cm, and 12 cm. The angle opposite the 6 cm side is the smallest (H). The angle opposite the 14 cm side is the largest (G).
Help pleaseeee xxxxxxxxx
Please help!!!!!!!!!!!!!!!!!!!!!!!!
the answer is A cuz non of the number are repeated
If x = −5, which number line shows the value of |x|?
(4g^2 + 4g + 8) - (g + 3)
Answer:
4g²+3g+5
Basically factor the first equation and simplify.
what is y to the fourth power?
y=4
Answer:
the awnser is 256
Step-by-step explanation:
Questions in the picture
Answer:
This is not a function. This is because if there are any repeating x values (the first values of each set) it is not a function. It is okay for there to be repeating y values (the second values of each set) but not x values.
Step-by-step explanation:
I am guessing the question is if this is a function.