Answer:
46.091 m
Step-by-step explanation:
Given that
Height of the range finder, = 496 feet
Angle of elevation, θ = 0.875 Rad = 50°
Velocity of increment, = 0.225 rad/min
For starters, we try and assume that it all takes place in a triangular shape. Using Pythagoras theorem, we then know that
Tanθ = y / 496
y = 496 tanθ
On differentiating, we have
dy/dt = 496 sec²θ
dy/dt = 496 * 0.413 * de/df
dy/dt = 204.848 * de/df
dy/dt = 204.848 * 0.225
dy/dt = 46.091 m
PLEASE HELP ME WITH THE LITTLE QUESTION
Answer:
y = -x +2
Step-by-step explanation:
First let's find the slope.
(-1,3) and (4,-2)
3 - -2/ -1 - 4 = 5/-5 = -1
Slope = -1
Now let's use slope intercept form:
y1-y2=m(x1-x2)
Let's plug in our slope for m.
y1-y2= -1 (x1-x2)
And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)
y1+2 = -1(x1- 4)
y= -x + 4 -2
y = -x +2
The intercepts of the line Y=-2x-21
Answer:
-21
Step-by-step explanation:
GIven data
We are given the equation of a line as
Y=-2x-21
let us compare this with the general equation of a line
y=mx+c
from the comparison, we can see that the intercept is -21
Therefore, the intercept is -21
What value of s in the equation S/6=18?
A.108
B.24
C.12
D.3
Answer:
108
Step-by-step explanation:
s=18x6
s=108
What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
Answer: I’m pretty sure the common factor is 15x3y
Answer:
Answer: I’m pretty sure the common factor is 15x3yStep-by-step explanation:
Question 4 of 10
How much would $500 invested at 6% interest compounded monthly.be
worth after 5 years? Round your answer to the nearest cent.
Answer:
1800$
Step-by-step explanation:
(6% of 500 is 30)
(30 x 12 is 360)
(360 x 5 is 1800)
Which values are the solutions to the inequality below? Check all that apply.
X^2 < 10
Answer:
3
Step-by-step explanation:
if you can't use calculator, you must know that after a number being square root, it MUST be in positive
for the negative answer will be false
so for the rest of the answer you need to try it
3² = 9 < 10 so it's true
4² =16 > 10 so it's false
the only answer is 3
Can someone help me picture inserted
Answer:
~77°
Step-by-step explanation:
cosQ = 9/40
inverse cosine(9/40) ≈ 77° = Q
The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 per month. The distribution of the monthly costs does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month
Answer:
0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The rent for a one-bedroom apartment in Southern California follows the normal distribution with a mean of $2,350 per month and a standard deviation of $260 per month.
This means that [tex]\mu = 2350, \sigma = 260[/tex]
Sample of 65 one-bedroom apartments
65>30, which means that the sampling distribution of the sample means will be approximately normal. Also, [tex]n = 65, s = \frac{260}{\sqrt{65}} = 32.249[/tex]
What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month?
This is 1 subtracted by the pvalue of Z when X = 2260.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{2260 - 2350}{32.249}[/tex]
[tex]Z = -2.79[/tex]
[tex]Z = -2.79[/tex] has a pvalue of 0.0026
1 - 0.0026 = 0.9974
0.9974 = 99.74% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,260 per month.
A rectangular prism has dimensions of 4 cm by 3 cm by 2 cm.
Area_{rectangle}=b. h
PART A
What is the surface area?
Answer:
48
Step-by-step explanation: surface area = 2 (lw + hl + hw)
2 ( 2 x2 + 5x2 + 5x2)
2 (4+10+10)
2(24)
48 cm
Step-by-step explanation:
Answer:
WHAT THE OTHER PERSON SAID
Step-by-step explanation:
If my pay rate is $9 an hour and I worked 7 hours and 45 minutes. How much money did I make?
Answer:
$69.75
Step-by-step explanation:
$9 x 7 = $63
45 min/60 min = 0.75
$9 x 0.75 = $6.75
$63 + $6.75 = $69.75
Answer:
$69.75
Step-by-step explanation:
$9 x 7 hours = $63
$9 x 3/4 = $6.75
$63 + $6.75 = $69.75
I hope this helps :)
I NEED AN EXPLANATION
=7×9
=36 square feetffgxdx
Jayden bought 4 cows for $325.00 each. He paid 1/3 down and paid the remainder the following week. How much did he owe?
Answer:
He paid $108.33 down and will owe $216.67
Step-by-step explanation:
:)
What is the value of x in the following ayatem?
6x + 3y = 15
Answer:
[tex]x=\frac{5-y}{x}[/tex]
Step-by-step explanation:
(NOT A MULTIPLE CHOICE)
Suppose a civic engineer wants to conduct a survey to find out if residents of a city would be in favor of widening one of the city's roadways for increased traffic flow
a. Would a sample consisting of residents who utilize that roadway to travel to work each morning be representative? Explain.
b. Would a sample consisting of residents who live along that roadway be representative? Explain.
c. Would a random sample of homeowners in the city be representative? Explain.
9514 1404 393
Answer:
a, b, c --- all not representative
Step-by-step explanation:
The question posed by the engineer is "are residents of the city in favor of ...".
The only representative sample is one from a pool that includes all residents of the city—not just those who (a) use the road, (b) live along the road, or (c) own homes.
__
Additional comment
The engineer may want to refine the question. As posed, it would include children, homeless, and/or institutionalized residents of the city as well as drivers and tax-payers. In inclusive cultural traditions, "residents of the city" may also include animals, plants, water, air, and other holders of spiritual energy.
A right triangle table top has legs that
measure 3.5 feet. What is the perimeter
of the table top?
Answer:
i
Step-by-step explanation:
Answer:
12 feet
Step-by-step explanation:
use the pythagorean theorem to figure out what the hypotenuse is
3.5^2+3.5^2=x^2
12.25+12.25=x^2
25=x^2
x=5
now that you know the hypotenuse, you can find the perimeter by adding up all the sides
3.5+3.5+5=12
A store sells a package of 3 notebooks for $2. The point on the graph represents this ratio relationship. Which ordered pairs represent equivalent ratios that would also be on the graph? Choose all the correct answers. A (4, 6) B (6, 4) C (9, 6) D (12, 8) E (15, 9) F (16, 12)
Answer:
B, C, D
Step-by-step explanation:
Those are the equivalent ratios, look where the umbers are placed in the question to where they are placed in the ratio
AKI-OLA publication annual income of 258,ooo
salaries Gh49,020
training Gh72,000
housing Gh60,000
entertainment Gh12,000
exigencies Gh23,020
(a) what percentage of the income is spent on salaries.
(b) what is the ratio of the amount for housing to the amount for training,
Answer:
(a) 19%
(b) 5:6
Step-by-step explanation:
Given: Gh 258,000
salaries Gh 49,020
training Gh 72,000
housing Gh 60,000
entertainment Gh 12,000
exigencies Gh 23,020
(a) Percentage of the income spent on salaries = [tex]\frac{amount of salaries}{total income}[/tex] x 100
= [tex]\frac{49020}{258000}[/tex] x 100
= 0.19 x 100%
= 19%
The percentage of the income spent on salaries is 19%.
(b) Ratio of amount for housing to amount for training = [tex]\frac{amount for housing}{amount for training}[/tex]
= [tex]\frac{60000}{72000}[/tex]
= [tex]\frac{5}{6}[/tex]
The ratio of the amount for housing to the amount for training is 5:6
Question 4(Multiple Choice Worth 3 points)
(06.06)
Which of the following shows 3+ (x + 6y) rewritten using the Associative Property of Addition?
O 3 + x + 6y
O 3x + (6 + y)
O x + (3 + 6y)
O (3 + x) + 6y
I need help ASAP
What value of x would make the following relation a function?
Answer: the answer is
C.) -2
Step-by-step explanation:
I got this answer by simply looking at the pattern. It goes -2,-3,2,3, and then starts over, So the answer would have to be -2. I hope this helped and good luck:))
The value of x that would make the relation a function is x = 3.
Option D is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
{ (-2, -3), (-3, -2), (2, 3), (3, 2), (x, 2) }
A function can not be one-to-many.
A function can be many-to-one and one-to-one
Now,
If x = 2, -3, -2 we get one-to-many.
But if x = 3 we get one-to-one.
Thus,
x = 3.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Find the sum:
5
3 +2
6
Help pls
3 + 2 + 5/6
= 5 + 5/6
= 5 + 0.83 (convert 5/6 to decimal form)
= 5.83
There are 1420 students enrolled at Senn. If 60% of these students walk to school, how many students are walking to school?
I need an explanation also :)
Answer:
852 students walking to school
Step-by-step explanation:
Lets start with a simple example so you can get it
if 60% of 100 students walk to school that means
60 students walk to school... right??
so lets simplify it more that means you have multiplied 100 (students) by 60%
or [tex]\frac{60}{100}[/tex] (note: you can say that 60% is equal to [tex]\frac{60}{100}[/tex] )
so the problem told 60% of 1420 students walk to school that means we should
do this: [tex]1420*\frac{60}{100} = 852[/tex]
Answer:
852 walk to school
Step-by-step explanation:
i got this because i divided the 1420 into 10 which became a 142, multiply by 6 and you get 852
also you could
it is really simple also, all you have to do is multiply the number of student, S times the precent of students who walk, so s times w, which is 60 precent turend into .6 precent so 1420 x .6
Write the equation in standard form for the circle with center (0, – 8) and radius 10.
I accidentally clicked 4's answer (i dont know if it's right or not) so just forget that but do you guys know the answer to 4 and 5? I need to finish this assignment by today and I'm not good at this-
Need help please don’t scam it not cool
If you failed your math test due to being unprepared. What are 2 things that you could have done to prevent being unprepared for your test?
Answer:
go everything youve learnt from grade 3 come right up
Step-by-step explanation:
sometimes its knowing the simply formulas thatll get you through
Does the table represent a function? Why or why not?
Х
у
0
4
5
5
7
9
mm
2.
A. No, because two of the p-values are the same.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because there is the same number of x-values as yuvalues.
D. Yes, because every x-value corresponds to exactly one y-value.
What is 11 7/20 in decimal form?
Answer:
the answer is 11.25
Step-by-step explanation:
Convert the proper fraction to decimal: Divide the numerator by the denominator
7 ÷ 20 = 0.35
Add this decimal number to the whole number of the mixed fraction
11 + 0.35 = 11.35
Solve |3x + 9| + 6 = 6 Question 4 options: A) x = –3 B) x = 3 or x = –3 C) No solutions D) x = 3
Answer:
A) x = -3
Step-by-step explanation:
|3(-3) + 9| = 0
|-9 + 9| = 0
|0| = 0
0 = 0
Answer:
A)x=−3
Step-by-step explanation:
Step 1: Add -6 to both sides.
|3x+9|+6+−6=6+−6
|3x+9|=0
Step 2: Solve Absolute Value.
|3x+9|=0
We know 3x+9=0
3x+9=0(Possibility 1)
3x+9−9=0−9(Subtract 9 from both sides)
3x=−9
3x /3 = −9 /3
(Divide both sides by 3)
x=−3
Solve for z.
z^3 - 8=0
Write your answers in simplified, rationalized form.
it needs to have an i, square roots i don’t know how to answer it someone please help me
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{z^3 - 8 = 0}\\\text{ADD 8 to BOTH SIDES}\\\mathsf{z^3 - 8 + 8 = 0 + 8}\\\text{Cancel\ out: -8 + 8 because that gives you 0}\\\text{Keep: 0 + 8 because it gives 8 and we need that to solve for your z value}\\\mathsf{z^3=8}\\\text{TAKE the CUBE ROOT}\\\mathsf{z = 8{^(\dfrac{1}{3})}}\\\\\text{SIMPLIFY the EQUATION above and you have your z value}\uparrow\\\\\boxed{\boxed{\large\text{Answer: \bf z = 2}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
someone please answer this!!
Answer:
x=8
Step-by-step explanation: