Answer:
Step-by-step explanation:
Given that:
The height of the dock (h) = 6
Let represent d to be the distance between the boat and the dock
Let the length of the rope between the boat and the drum be denoted by (l)
Then, the rate of change for the length of the rope be:
dl/dt = -5 ft/s
Using Pythagoras rule to determine the relationship between these values, we have:
[tex]l^2 = h^2 +d^2[/tex]
[tex]l^2 = 6^2 + d^2[/tex]
[tex]l^2 = 36 + d^2[/tex]
We relate to: [tex]2l * \dfrac{dl}{dt} = 2d* \dfrac{dd}{dt}[/tex]
From the question;
l = 34,
So to find [tex]\dfrac{dd}{dt}[/tex], we get;
[tex]d = \sqrt{l^2 - 36}[/tex]
[tex]d = \sqrt{34^2 - 36}[/tex]
[tex]d = \sqrt{1156- 36}[/tex]
[tex]d = \sqrt{1120}[/tex]
d = 33.46
So, we have:
[tex]\dfrac{dd}{dt}= \dfrac{l}{d} \times \dfrac{dl}{dt}[/tex]
[tex]\dfrac{dd}{dt}= \dfrac{34}{33.46} \times - 5[/tex]
[tex]\dfrac{dd}{dt}= 1.016 \times - 5[/tex]
[tex]\dfrac{dd}{dt}=-5.08 \ ft/sec[/tex]
6. Write an equation that represents the
number below.
Answer:
0-4+3
Because
It
Is
Ok
Cool
PLZ answer fast! u will be rewarded
Answer:
65 and 115
Step-by-step explanation:
The two angles are same side interior angles which means they add to 180
3x-5 + 2x-15 = 180
Combine like terms
5x -20 = 180
Add 20 to each side
5x-20+20 = 180+20
5x= 200
Divide by 5
5x/5 = 200/5
x=40
The top angle is
3x-5 = 3*40 -5 = 120-5 = 115
The bottom angle is
2x-15 = 2*40 -15 = 80 -15 = 65
Solve: (3x-9) and (x + 5)
Answer:
2
Step-by-step explanation:
Got it right on my test
Solve for h.
-18 + h = 28
Answer:
h=46
Step-by-step explanation:
Add 18 to both sides
The graph shows y as a function of x:
y
B
А
D
In which segment is the function increasing?
Answer:
The correct answer (B)
Which is not a terminating decimal? -3/9, 6/36, 12/28, 7/8
Answer: 12/28
Explanation: I got this right years ago my man.
What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply. -4 -3 win w bo 3 m/N 3 4
Answer:
Option (4) and Option (6)
Step-by-step explanation:
By the zero product property,
If (x - a)(x - b) = 0
Then, (x - a) = 0 ⇒ x = a
(x - b) = 0 ⇒ x = b
By following the zero product property,
From the given equation,
3(x - 4)(2x - 3) = 0
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ x = [tex]\frac{3}{2}[/tex]
Therefore, options (4) and (6) will be the correct options.
Answer:
4 and 6 :)
Step-by-step explanation:
edge
How much does Jimmy earn each week, and
how much does he save by week 4?
A. Jimmy earns $3 each week, and he has $12 by
week 4.
B. Jimmy earns $3 each week, and he has $10 by
week 4.
C. Jimmy earns $6 each week, and he has $12 by
week 4.
D. Jimmy earns $6 each week, and he has $10 by
week 4.
Answer:
we need more info to answer this question
Answer:
A.
Step-by-step explanation:
12 divided by 4 equals 3. So if he gets 3 dollars a week by the fourth week he should have 12 dollars. It could also be 4 times 3 equals 12.
Kyle invests $11200 in two different accounts. The first account paid 10 %, the second account paid
7 % in interest. At the end of the first year he had earned $958 in interest. How much was in each
account?
$____at 10 %
$____at 7 %
Answer:
Kyle invested 5,800 at 10% and 5,400 at 7%.
Step-by-step explanation:
Let x be the amount Kyle invests in the 10% account.
0.1x + 0.07(11200 - x) = 958
0.1x + 784 - 0.07x = 958
0.03x = 174
x = 5800
Kyle invests $5,800 at 10% and $5,400 at 7%.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.
Given:
Kyle invests $11200 in two different accounts.
The first account paid 10 %.
The second account paid 7 % in interest.
At the end of the first year,
he had earned $958 in interest.
Let n be the amount Kyle invests in the 10% account.
0.1n + 0.07(11200 - n) = 958
0.1n + 784 - 0.07n = 958
0.03n = 174
n = 5800
Therefore, $5,800 at 10% and $5,400 at 7%.
To learn more about the simple interest; https://brainly.com/question/25845758
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An angle turns through 75/360 of a circle. what is the measure of the angle?
Answer:
It is an acute angle....
The required measure of the angle through 75/360 of the circle is 75°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant.
Since 75/360 of the circle represents the rotational factor as it describes is 75 part of 360 and 75 in the expressions is the angle measure.
Thus, the required measure of the angle through 75/360 of the circle is 75°.
Learn more about Angles here:
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1:1.2 as a fraction pls tell me in one minute
Hello!
the answer is 83/100!
Hopefully this helps ^^
Which fraction is less 11 out of 12 or 5 out of 12
Answer: 5 out of 12
Step-by-step explanation: GOODLUCK!
You can buy 10 APPLES for $12.00. How much will it cost to buy 6 APPLES?
Answer: $7.20
Step-by-step explanation: Let me know if I'm wrong!
PLEASE PPL ARE GETTING IT WRONG!!!
Answer:
0.59
Step-by-step explanation:
the process is of unitary method
Faith invested \$1,100 in an account paying an interest rate of 5.1\% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=1100\hspace{35px}r=0.051\hspace{35px}t=18
P=1100r=0.051t=18
Given values
A=1100e^{0.051(18)}
A=1100e
0.051(18)
Answer: 2,750
Explanation:
Plug in
A=1100e^{0.918}
A=1100e
0.918
Multiply
A=2754.70450683
A=2754.70450683
Use calculator (with e button)
A\approx 2750
A≈2750
Round to nearest ten dollars
please heart!
VVV and rate stars! VVV :D
The amount of money after 18 years nearest to ten will be $2,750.
What is continuous compounding?Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.
The equation is given as,
[tex]\rm A=P_o \times e^{r \times t}\\[/tex]
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously.
Then the amount after 18 years is calculated as,
[tex]\rm A = \$1,100 \times e^{0.051 \times 18}\\A = \$1,100 \times e^{0.918}[/tex]
Simplify the equation further, then we have
A = $1,100 x 2.504
A = $2,754.7
The amount of money after 18 years nearest to ten will be $2,750.
More about the continuous compounding link is given below.
https://brainly.com/question/19522540
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1. At Store A, the price for pineapples is $5.00 for 2 pineapples.
2. At Store B, the price for pineapples is $8.00 for 4 pineapples.
Which store is offering the lower price per pineapple? Show your work or explain your answer.
Answer:
Store B
Step-by-step explanation:
If you divide 5 by 2, you get the unit price for Store A which is $2.50.
If you divide 8 by 4, you get the unit price for store B which is $2.00
Store B has a lower unit price than store A therefore Store B is offering the lower price per pineapple.
A linear function contains the following points. (-2,8) (0,6) What are the slope and y-intercept of this function?
Answer:
slope= -1
y-intercept is 6
Step-by-step explanation:
slope = y2-y1/ x2-x1
slope = 6-8/ 0-(-2) = -1
y-intercept is 6 because of (0,6), where the points cross y-axis
7. Jenny is saving to buy a laptop worth $960. Her parents promise to match every $3 saved
by her with $5 of their own.
a. How much will Jenny contribute?
b. How much will Jenny's parents have to pay?
PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: 5y+(-5)=10
STUDENT WORK: IMAGE DOWN BELOW
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answer:
Step-by-step explanation:
5y + (- 5) = 10
The first mistake made in the image was when they subtracted from an already negative number. You add 5 to both (-5) and 10, which would be 5y = 15, due to the fact that 5 is being multiplied by y, you divide both sides by 5, making 3 the correct answer.
1. 5y + (-5) = 10
2. 5y +5 +5
3. 5y = 15
4. 5y/5 15/5
5. y = 3
Crystal pushes a 20 kg box with a force of 40N. What is the box’s acceleration?
Answer:
2m/s
Step-by-step explanation:
Acceleration = force / mass
Acceleration = 40N / 20 kg
Acceleration = 2 m/s^2
Find the measure of each angle
Answer:
Answer is in the screenshot provided.
Step-by-step explanation:
Work is also in the screenshot provided.
please solve this i will give you brainliest
Answer:
1
Step-by-step explanation:
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please help me i rlly need help
Answer:
3
Step-by-step explanation:
Given a line with points; (2, 5) (3, 8).
1. Find the slope of the given line
The formula for finding the slope is:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]
Substitute in the values;
[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]
[tex]\frac{8-5}{3-2}[/tex]
simplify;
[tex]\frac{3}{1}[/tex]
= 3
2. Find the slope of the parallel line;
Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.
Rewrite 4x − 2y = 10 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
y=2x-5
slope is 2 and y intercept is -5
Step-by-step explanation:
this is because you put y by itself and the equation becomes -2y=-4x+10. Multiply by -1 to make these positive and get 2y=4x-10. Divide both sides by 2 and make the equation y=2x-5. Hope this helps
What is the estimate of the sum of 165, 123, 376 and 134 using front end estimation? A. 600 B. 700 C. 800 D. 900
Answer:
A.
Step-by-step explanation:
Sorry, just unexplainable thinking.
What is a factor of 42
Answer:
1, 42
Step-by-step explanation:
Another pair of factors of 42 would be 2, 21. Factors, when multiplied, would get 42. 6,7 would also work, etc etc.
3
125 men and 150 women are at a wedding. Write this as a ratio of men to
women in its simplest form.
Answer:
The ratio of men to women in this situation is 5/6.
Step-by-step explanation:
If you rewrite this as a percentage, it is 83.33%.
And also the alternative form of the answer is 0.83.
Hope this helps and if you could mark as brainliest. Thanks!
Answer:
125 : 150
25 : 30
5 : 6
Step-by-step explanation:
men ' s ratio is 5 while women' s is 6
ANSWER ASAP PLEASE I WILL GIVE THE BRAINLIEST THINGY!!
Sparky ate 2 1/2 bones in the morning and 1 2/3 bones in the afternoon. How many bones did Sparky eat all together?
Answer:
4 1/3
Step-by-step explanation:
2 + 1=3. 1/2+2/3 = 1 1/3. 3 + 1 1/3 = 4 1/3
Hope this helps! Give Brainliest if it did!
i need help on this question
According to the U.S. Census Bureau, 20.2% of American women aged 25 years or older have a Bachelor's Degree; 16.5% of American women aged 25 years or older have never married; among American women aged 25 years or older who have never married, 22.8% have a Bachelor's Degree; and among American women aged 25 years or older who have a Bachelor's Degree, 18.6% have never married.
Required:
a. Are the events "have a Bachelor's Degree" and "never married" independent? Explain.
b. Suppose an American woman aged 25 years or older is randomly selected, what is the probability she has a Bachelor's Degree and has never married? Interpret this probability.
Answer:
(a) Not independent
(b) The probability the woman has a Bachelor's Degree and has never married is 0.046.
Step-by-step explanation:
Denote the events as follows:
X = American women aged 25 years or older have a Bachelor's Degree
Y = American women aged 25 years or older have never married
The information provided is as follows:
P (X) = 0.202
P (Y) = 0.165
P (X | Y) = 0.228
P (Y | X) = 0.186
(a)
If two events, say A and B are independent then,
P (A|B) = P (A) and P (B|A) = P (B)
Since,
P (X | Y) ≠ P (X)
P (Y | X) ≠ P (Y)
The events "have a Bachelor's Degree" and "never married" are not independent.
(b)
Compute the probability the woman has a Bachelor's Degree and has never married as follows:
[tex]P(X\cap Y)=P(X|Y)\times P(X)\\\\=0.228\times 0.202\\\\=0.046056\\\\\approx 0.046[/tex]
Thus, the probability the woman has a Bachelor's Degree and has never married is 0.046.