A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 10 ft away from the lampost
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Complete Question
A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?
Answer:
7.26ft/s
Step-by-step explanation:
A 6-ft-tall person walks away from a 11-ft lamppost at a constant rate of 3.3 ft/sec. What is the rate that the tip of the person's shadow moves away from the lamppost when the person is 11 ft away from the lampost?
Let x = distance of person to the tip of the lamp post
= 6/x = 11/d
Cross Multiply
6d = 11 x....... Equation 1
The constant rate of the person = 3.3 ft/s
= Distance of the person to the pole = Speed × time
= 3.3 × t
d = 3.3t
x = d - 3.3t
Substitute d - 3.3t for x in Equation 1
6d = 11x
6d = 11(d - 3.3t)
6d = 11d - 36.3t
36.3t = 11d - 6d
36.3t = 5d
d = 36.3/5
d = 7.26 ft/s
plz help tytytt very muchhhh:)))
Intro:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
In all of these I just plugged in for x
Checking choice (1):
[tex]2x+1>15\\2(9)+1>15\\18+1 >15\\19>15[/tex]
This is true so it's not the right answer.
________________________________________________________
Checking choice (2):
[tex]2x+1>15\\2(7)+1>15\\14+1>15\\15>15[/tex]
This is false so this is the answer.
But we'll just check the others just in case.
_________________________________________________________
Checking choice (3):
[tex]2x+1>15\\2(10)+1>15\\20+1>15\\21>15[/tex]
This is true so it can't be the answer.
_________________________________________________________
Checking choice (4):
[tex]2x+1>15\\2(15)+1>15\\30+1>15\\31>15[/tex]
This is true so it can't be the answer.
_________________________________________________________
Now we found out that the answer is Choice 2.
whats the GCF of 30 and 24?
the greatest common factor is 6
A student is asked to calculate the value of 133 using the identity (x + y)3 = x3 + 3x2y + 3xy3 + y3. The student's steps are shown below.
Step 1: 133 = (10 + 3)3
Step 2: = (10)3 + 3(10)2(3) + 3(10)(3)2 + (3)3
Step 3: = (1,000) + (180) + (270) + (27)
Step 4: = 1,477
The correct answer should be 2,197. In which step did the student make his first error?
Answer:
Step 1.
Step-by-step explanation:
You can't multiply sum of 2 random digits to the power of 3.
Help me please asap.
Answer:
-2,0
Step-by-step explanation:
Solve equation [2] for the variable x
[2] 3x = 2y - 6
[2] x = 2y/3 - 2
Plug this in for variable x in equation [1]
[1] 5•(2y/3-2) + 6y = -10
[1] 28y/3 = 0
[1] 28y = 0
Solve equation [1] for the variable y
[1] 28y = 0
[1] y = 0
By now we know this much :
x = 2y/3-2
y = 0
Use the y value to solve for x
x = (2/3)(-0/18062600)-2 = -2
What is the slope of 1/2 and 7/5
Answer:
0.5
Step-by-step explanation:
its hard to explian how to do it but you can find a video im sure
What is the range of h(x)?
Finding the quotient
Whats 2/7÷8/9?
Answer:
[tex]\frac{9}{28}[/tex]
Step-by-step explanation:
Given expression:
Find the quotient;
= [tex]\frac{2}{7}[/tex] ÷ [tex]\frac{8}{9}[/tex]
Now, let us solve the problem;
the division sign will invert [tex]\frac{8}{9}[/tex];
= [tex]\frac{2}{7}[/tex] x [tex]\frac{9}{8}[/tex]
2 will go in 8
= [tex]\frac{1}{7}[/tex] x [tex]\frac{9}{4}[/tex]
= [tex]\frac{9}{28}[/tex]
Devante invests $4000 in two different accounts. The first account paid 6 %, the second account paid 11 % in interest. At the end of the first year he had earned $320 in interest. How much was in each account?
$
at 6 %
$
at 11 %
Answer:
y=1600
x=2400
Step-by-step explanation:
x+y=4000
solve for a variable
x=4000-y
plug this into .06x+.11y=320 (the interest from account 1 + account 2 must equal 320)
.06(4000-y)+.11y=320
240-.06y+.11y=320
minus 240 both sides
-.06y+.11y=80
combine terms
.05y=80
divide by .05
y=1600
to find x you subtract 1600 from 4000 to get 2400
remember, your equation must be x+y=4000
x+1600=4000
-1600
x=2400
Determine the intercepts of the line.
- 4x + 7 = 2y - 3?
Answer:
x-intercept(s):(5/2,0)
y-intercept(s): (0,5)
Step-by-step explanation: i think thats right idk
Answer:
the y intercept is (0,5) and the x intercept is ( 2.5,0)
Step-by-step explanation:
I know this because khan academy gave me the answer
its not 5/2 or 2/5 for the x intercept
What is 1 divided by3/4
Answer:
3/4
Step-by-step explanation:
it is 3/4 anything dividing one is itself
Jarrett needs supplies for school. His mother gave him a $15.00 gift card. He purchased a package of pencils for $3.36, a notebook for $4.99 and 2 pens that cost $1.49 each. How much money does Jarrett have left on the gift card?
Answer:there is $3.67 left.
Step-by-step explanation: good luck on your assignment! :)
Liza needs help to solve this linear equation.
4(x – 5) + 2x = 9x – 2(4 + 2x)
She has completed two steps, but now she’s stuck. Examine her work.
1. 4x - 20 + 2x = 9x - 8 - 4x
2. 6x - 20 = 5x - 8
What could be the next step? Select all that apply.
Add 8 to both sides.
Add 5x to both sides.
Subtract 6x from both sides.
Subtract 20 from both sides.
Divide both sides by –8.
Divide both sides by –20.
Answer: It is A and C:
A: Add 8 to both sides
C: Subtract 6x from both sides
Answer:
this would be your answer
Step-by-step explanation:
Tanya has 44 quarters and dimes worth$8.30. how many of each type of coin does she have
Tanya has 26 quarters and 18 dimes.
Given that Tanya has 44 quarters and dimes which worth $8.30, we need to find the number of each coin type,
To find the same we will use the concept of system of Linear equations,
Let's solve this problem step by step.
Let's assume Tanya has x quarters and y dimes.
The value of x quarters is 25x cents.
The value of y dimes is 10y cents.
According to the given information, the total value of the quarters and dimes is $8.30, which is equivalent to 830 cents. So we have the equation:
25x + 10y = 830 ...........(Equation 1)
Tanya has 44 coins in total:
x + y = 44 ...........(Equation 2)
Now, we can solve this system of equations (Equation 1 and Equation 2) to find the values of x and y.
Multiplying Equation 2 by 25, we get:
25x + 25y = 1100 ...........(Equation 3)
Subtracting Equation 3 from Equation 1, we eliminate the x term:
25x + 10y - (25x + 25y) = 830 - 1100
-15y = -270
Dividing both sides by -15, we get:
y = (-270)/(-15) = 18
Substituting the value of y back into Equation 2, we can find x:
x + 18 = 44
x = 44 - 18 = 26
Therefore, Tanya has 26 quarters and 18 dimes.
Learn more about system of equations click;
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Twice the difference of 9 and a number.
Answer:
its something like 9-n x 2
Step-by-step explanation:
9 - n x 2
Answer: 2(x-9)
Step-by-step explanation:
trust me ;)
The length of a rectangle is 3 m more than 5 times the width. The perimeter is 126
m.
What is the length?
Answer:
53m
Step-by-step explanation:
Let x = the width
Let y = the length
5x + 3 = y
2x + 2y = 126
Plug in 5x + 3 for y in the second equation
2x + 2(5x + 3) = 126
Distribute the 2
2x + 10x + 6 = 126
Combine like terms
12x + 6 = 126
Subtract 6 from both sides
12x = 120
Divide both sides by 12
[tex] \frac{12x}{12} = \frac{120}{12} [/tex]
x = 10
Remember x = width. You are looking for length.
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
Please help will put brainliest
Answer:
5x−2y=−5, Eqn (1). y−5x=3, Eqn (2). y
Step-by-step explanation:
Ms. Leaman spends $2.00 a day on her morning coffee. How much does she spend in one week? Draw a double number line.
Answer:
She spends $2 a day, and there are 7 days a week. So, you'd multiply the amount which is 2 by the 7 days.
The amount she spends in one week is $14! I don't know how to add a double number line, so you do that part!
Step-by-step explanation:
Good luck! <3
How fast is employment for Mathematicians expected to grow
between 2016 and 2026?
O 30 percent
O 17 percent
O 28 percent
O 34 percent
Answer:
A
Step-by-step explanation:
Answer:
It's A 30%
Step-by-step explanation:
An investigator computes a 95% confidence interval for a population mean on the basis of a sample of size 65. If she wishes to compute a 95% confidence interval that is half as wide, how large a sample does she need
Answer:
The value is [tex]n_2 = 260[/tex]
Step-by-step explanation:
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the width of a confidence interval is dependent on the margin of error which is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{ \sigma}{\sqrt{n} }[/tex]
Here [tex]\sigma[/tex] is the standard deviation
Let assume that [tex]\sigma[/tex] and [tex]Z_{\frac{\alpha }{2} } [/tex] are constant for the width of the confidence interval when the sample size is n =65 and now that it has been divided to two
=> [tex]E = \frac{ K }{\sqrt{n} }[/tex]
Here K is a constant
=> [tex]E * \sqrt{n} = K[/tex]
=> [tex]E_1 * \sqrt{n}_1 = E_2 * \sqrt{n}_2[/tex]
Now let [tex]E_1 \ and \ n_1[/tex] be the margin of error and sample size before the reduction
So [tex]n_1 = 65[/tex]
and let [tex]E_2 \ and \ n_2[/tex] be the margin of error and sample size after the reduction
So [tex]E_2 = \frac{1}{2} E_1[/tex]
=> [tex]E_1 * \sqrt{65} = \frac{E_1}{2} * \sqrt{n}_2[/tex]
=> [tex]\sqrt{65} = \frac{1}{2} * \sqrt{n}_2[/tex]
=> [tex]n_2 = 260[/tex]
How many 4 digit numbers are NOT divisible by 100?
Answer:
If you're only counting positive numbers then there are 8,900 four-digit numbers that are not divisible by 100, but if you also include negative numbers then your answer would be 17,800.
Which model shows a ratio of 1 white to 2 blue?
3 blue squares and 6 white squares.
4 blue squares and 4 white squares.
4 blue squares and 4 white squares.
6 blue squares and 3 white squares.
Answer:
3 blue squares and 6 white squares
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
The answer is 3 to 6.
3 to 6 can be represented by 3 blue squares and 6 white squares.
Answer:
It is the last one. Hope this helps (:
Step-by-step explanation:
Tell me what 86 divided by 1204 = ?
Answer:
14
Step-by-step explanation:
1204/86 (divide by 2)
602/43 ( divide by 43)
14
Solve the following equation step by step and justify your steps when using an exponential property.
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
:)
which ordered pair could ba added to this function
Answer:
(1,7)
Step-by-step explanation:
in order for something to be a function, each x value can only have one y value (vertical line test). because all of the other answers use x values that were previously assigned a y value, (1,7) is the only one that works.
Which graph shows a dilation?
Answer:
Step-by-step explanation:
There is no graph.
PLEASE HELP ME ILL MARK BRAINLIEST
Answer:
a. R(t) = 2t - 500
b. D(t) = 400 + 10t
c. T(t) = 400 + 10t + 2t -500
Step-by-step explanation:
donations: $400; every person costs: $10; raffle ticket: $2; winner: $500
a. R(t) = 2t - 500
2t is the raffle tickets. t represents each person. -500 represents the money that the school loses for giving away the money to the winner.
b. D(t) = 400 + 10t
400 is the pre-donation that they had. 10t is the fee for entering the dinner per person. t represents each person.
c. T(t) represents all the money the school will gain (and lose) from the fundraiser. This stands to reason that T(t) is a combination of R(t) and D(t) since R(t) is the raffle and D(t) is the donations and dinner.
T(t) = 400 + 10t + 2t -500
Hope this helps!
which of the symbols correctly relates the two numbers below check all that apply
45 ? 45 is A. ≤( is less than or equal to), C. ≥(is greater than or equal to), E. = (is equal to) .
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, 45? 45.
45 ? 45 is equal to 45.
45 ? 45 is greater than or equal to 45.
45 ? 45 is less than or equal to 45.
learn more about inequalities here :
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what is -x-2
Please help me!
Answer:
I think that it might be a type-o on the assignment. If I was you I would email your teacher.
Luke and Liam found an old castle on a recent hike.
15°
125
The sign said the tower was 30 meters high. Because of social distancing, Luke and Liam stood
meters apart while looking at the top of the castle tower.
Round to the nearest meter.
Answer:
48 meters
Step-by-step explanation:
First, use trigonometric ratios formula to find the distance of each of them from the tower. The difference between their distance from the tower will give you the distance they stood apart from each other.
Distance of the first person from the Tower with am angle of elevation of 25°:
Height of the tower = 30 meters (opposite side)
Distance from the tower = x (adjacent side)
[tex] tan(25) = \frac{opp}{adjacent} [/tex]
[tex] tan(25) = \frac{30}{x} [/tex]
Multiply both sides by x
[tex] tan(25)*x = 30 [/tex]
Divide both sides by tan(25)
[tex] x = \frac{30}{tan(25)} [/tex]
[tex] x = 64 m [/tex] (nearest whole number)
Distance of the second person from the Tower with am angle of elevation of 15°:
Height of the tower = 30 meters (opposite side)
Distance from the tower = x (adjacent side)
[tex] tan(15) = \frac{opp}{adjacent} [/tex]
[tex] tan(15) = \frac{30}{x} [/tex]
Multiply both sides by x
[tex] tan(15)*x = 30 [/tex]
Divide both sides by tan(15)
[tex] x = \frac{30}{tan(15)} [/tex]
[tex] x = 112 m [/tex] (nearest whole number)
Distance between both of them = 112 - 64 = 48 meters