Answer:
A- 14:5
B - 9:14
Step-by-step explanation:
Hope this helps!!!
end
A cruise ship is 1480 feet from a light house off a Caribbean Island.
If the angle of elevation from the cruise ship to the top of the light
house is 4º, what is the height of the lighthouse? Round to the
nearest whole foot.
Answer:
104 feet
Step-by-step explanation:
To get the height of the lighthouse, we need to take the sine function of the anglesin4° = 0.07sin4° = h/1480⇒ h/1480 = 0.07⇒ h = 1480 x 0.07⇒ h = 103.6⇒ h = 104 feetFind the value of x of 2x 110° (x + 10)°
Answer:
50°
Step-by-step explanation:
the sum of the angles of a quadrilateral is 360°
so
2x + 110 + x + 10 + 90 = 360
2x + x = 360 - 110 - 10 - 90
3x = 150
x = 150 : 3
x = 50°
-------------------------
check
50 + 10 + 2 * 50 + 110 + 90 =
360°.
the answer is good
Answer:
x = 50
2x = 110°
(x + 10)° = 60°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°
⇒ 2x° + (x + 10)° + 110° + 90° = 360°
⇒ 2x° + x° = 360° - 110° - 90° - 10°
⇒ 3x° = 150°
⇒ x = 50
Substitute found value of x into the expressions and solve:
⇒ 2x° = 2(50)° = 110°
⇒ (x + 10)° = (50 + 10)° = 60°
can you guys please help with this? you get a lot of points i don’t understand the question please
Answer:
The first one i would think might be 0.05? uncertian and probably wrong, the second, HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT, and the third, 3/8.
The way you figure out the third one is you are flipping 3 coins still, and you take all of the options above and there are 8 total and 3 ov them would land you 2 heads and a tail so its a simple 3/8 fraction
Answer:
2. 0.05
3. a) 8 outcomes (listed below)
3. b) 3/8
Step-by-step explanation:
Question 2
The sum of the probabilities of all possible outcomes is 1.
Therefore, if the probability of being on time for class is 0.95, then the probability of NOT being on time for class is:
1 - 0.95 = 0.05
Question 3
a) 8 possible outcomes of flipping 3 coins (H = heads, T = tails):
HHH HHT HTH THH
TTT TTH THT HTT
b)
There are 3 possible ways of flipping 2 Heads and 1 Tail:
HHT HTH THH
Out of a total number of 8 possible outcomes.
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\sf \implies P(2\:Heads\:and\:1\:Tail) = \dfrac38[/tex]
In the first 3 hours of a concert, 2,100 people passed through the gates. How long will it take to fill a concert hall that has 2,800 seats?
Answer:
4 hours
Step-by-step explanation:
the rate of people coming in it 700 per hour
y+(-3)²+6(-3)+5
y= -4
I am not sure how they got -4 as the answer.
PEMDAS - parentheses exponents multiplication division addition subtraction
Hope it helps!
Any queries - comment!
PS I'll edit in a min, please wait :)
I would like some help
Answer:
y = -2/3x + 4
Step-by-step explanation:
The y-intercept of the graph is at (0, 4) so in the equation of the line (y = mx + b), b = 4 [But all the options have that, so we have to evaluate further]The slope of the line can be calculated by where its next point on the graph isA point is (3, 2)Slope, m = 2 - 4 / 3- 0 = -2/3Equation of the line : y = -2/3x + 48ntergrate by parts |x^3 e^-x dx
I assume the integral is
[tex]\displaystyle \int x^3 e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^3 \implies du = 3x^2 \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
so that
[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]
i.e.
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \int x^2 e^{-x} \, dx[/tex]
Integrate by parts again, this time with
[tex]u = x^2 \implies du = 2x \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
and so
[tex]\displaystyle \int x^2 e^{-x} \, dx = -x^2 e^{-x} + 2 \int x e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} + 3 \left(-x^2 e^{-x} + 2 \int x e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \int x e^{-x} \, dx[/tex]
Once more, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
[tex]\displaystyle \int x e^{-x} \, dx = -xe^{-x} + \int e^{-x} \, dx[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} + 6 \left(-xe^{-x} + \int e^{-x} \, dx\right)[/tex]
[tex]\implies \displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} + 6 \int e^{-x} \, dx[/tex]
Finally,
[tex]\displaystyle \int e^{-x} \, dx = -e^{-x} + C[/tex]
and so
[tex]\displaystyle \int x^3 e^{-x} \, dx = -x^3 e^{-x} - 3x^2 e^{-x} -6xe^{-x} - 6 e^{-x} + C[/tex]
or equivalently,
[tex]\displaystyle \int x^3 e^{-x} \, dx = \boxed{-(x^3+3x^2+6x+6) e^{-x} + C}[/tex]
We can also approach the integral more generally by considering
[tex]I_n = \displaystyle \int x^n e^{-x} \, dx[/tex]
Integrate by parts with
[tex]u = x^n \implies du = nx^{n-1} \, dx[/tex]
[tex]dv = e^{-x} \, dx \implies v = -e^{-x}[/tex]
Then
[tex]\displaystyle I_n = -x^n e^{-x} + n \int x^{n-1} e^{-x} \, dx = -x^n e^{-x} + n I_{n-1}[/tex]
We can solve the recurrence using the initial "value" [tex]I_0 = -e^{-x}+C[/tex] to find a general formula for [tex]I_n[/tex]. Then we get the integral we want [tex]I_3[/tex] "for free".
After graduation from college, Justin decided to join a new company. He agreed to a salary which will increase by 3.7% each year and will earn 77,536 for his twelfth year of work.
Part A: To the nearest dollar, what is Justins starting salary?
Using an exponential function, it is found that Justin's starting salary was of $50,137.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem, we have that r = 0.037 and A(12) = 77536, hence:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]77536 = A(0)(1.037)^{12}[/tex]
[tex]A(0) = \frac{77536}{(1.037)^{12}}[/tex]
A(0) = 50137.
Justin's starting salary was of $50,137.
More can be learned about exponential functions at https://brainly.com/question/25537936
how do i simplify this: (8 2/3)^4
Answer:
5641 55/81
Step-by-step explanation:
you can simplify the equation by removing the parenthesis.
this means that you also have to solve the ^4 part.
this would be
5641 55/81
I know that this is a large number but that is what happens when you do ^4.
what's the sum of 3/8 and 1/16? a. 1/6 b. 7/16 c. 4/24 d. 1/4
Answer: B
Step-by-step explanation: 3/8 + 1/16 = 0.4375 and 7/16 = 0.4375
Answer:
b.
Step-by-step explanation:
first, you would you would find a common denominator between 3/8 and you will get 6/16. last, you would add 1/16 + 6/16 for your answer of 7/16
For each value of x determine whether it is a solution
Hey !
Question :For each value of x determine whether it is a solution to 45 = -9 ( x + 5 )
Given :In the question we have given an equation i.e. :
45 = -9 ( x + 5 )In the question values of x are also given i.e. :
5-71-4To Determine :In this question we have to determine whether given value of x are solution fo the given equation or not .
How we have to solve this question :We are solving this question by substituting given value of x in the equation if equation satisfied then it means that the value for x is solution of the equation .
So Let's get started :1) Value of x as 5 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as 5 :
45 = -9 ( 5 + 5 )45 = -9 ( 10 )45 = -90But , 45 is not equal to -90Therefore , 5 is not the solution for equation .
2) Value of x as -7 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as -7 :
45 = -9 ( -7 + 5 )45 = -9 ( -2 )45 = 18But , 45 is not equal to 18Therefore , -7 is not the solution for equation .
3) Value of x as 1 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as 1 :
45 = -9 ( 1 + 5 )45 = -9 ( 6 )45 = -54But , 45 is not equal to -54Therefore , 1 is not the solution for equation .
4) Value of x as -4 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as -4 :
45 = -9 ( -4 + 5 )45 = -9 ( 1 )45 = -9But , 45 is not equal to -9Therefore , -4 is not the solution for equation .
So ,In there is no proper value of x that can be solution of the given equation .[tex] Keep \: Learning[/tex]
This year, a small business had a total revenue of 89,700 . If this is 38% more than their total revenue the previous year, what was their total revenue the previous year?
Answer:
Revenue was 55,614 the year before
Step-by-step explanation:
Decay Formula: y = a*(1-r)^x
So:
y = 89700 * (1-0.38)^1
y = 55614
well, their total revenue last year was "x", which oddly enough is 100%. Now, this year's revenue is 38% more than that, well, 100% + 38% = 138%, and we also know that it's 89700, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 89700& 138 \end{array} \implies \cfrac{x}{89700}=\cfrac{100}{138}\implies \cfrac{x}{89700}=\cfrac{50}{69} \\\\\\ 69x=4485000\implies x=\cfrac{4485000}{69}\implies x=65000[/tex]
i need help right now please !!!!!
Answer:
x+50+4x=90(being complementary angle)
5x+50=90
5x=90_50
5x=40
x=40÷5
x=8
first we add those both numbers, x+4x=5x and we divide it with 40(40÷5) and the solution comes.
line l passes through two points (-2,1) and (4,3) then find the slope of line l and find y-intercept of the line l ,find x-intercept of the line l and write the equation of the line l and sketch the graph of the line i
The linear equation that passes through the two given points is:
y = (1/3)*x + (5/3)
How to find the linear equation?
A linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is equal to:
a = (y₂ - y₁)/(x₂ - x₁).
In this case, we know that the line passes through (-2, 1), and (4, 3).
Then the slope is:
a = (3 - 1)/(4 - (-2)) = 2/6 = 1/3
So the line is something like:
y = (1/3)*x + b
To find the value of b, we use the fact that the line passes through the point (4, 3), then:
3 = (1/3)*4 + b
3 - 4/3 = b
5/3 = b
So the line is:
y = (1/3)*x + 5/3
Finally, the x-intercept of the line is the value of x such that y = 0.
0 = (1/3)*x + 5/3
-5/3/(1/3) = x = -5
The graph of the line can be seen below.
If you want to learn more about linear equations, you can read:
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Use substitution to solve the system.
- 3x+y = 14
2x + 3y = -2
음
Х
5
?
y = 0
Answer:
x= -4 and y=2
Step-by-step explanation:
-3x+y=14 ...eqn 1
2x+3y= -2....eqn 2
from eqn 1
-3x+y=14
y=14+3x
substitute y=14+3x into eqn 2
2x+3(14+3x) = -2
2x+ 42+ 9x = -2
11x= -2-42
11x= -44
x = -4
substitute X = -4 into eqn 1 to get y
-3x+y=14
-3(-4) +y =14
12+y= 14
y= 14-12
y =2
Select the correct answer.
Tatum plans to buy some personalized sticky notes for her home office. The graph shows a proportional relationship between the number of packs of sticky notes she can buy and the total price. If Tatum has $30.50 to spend on sticky notes, how many packs can she buy? Assume that she can buy only whole packs.
A. 1
B.2
C.3
D.4
ANSWER FAST I NEED THIS NOWW
Find the missing sides
Answer:
i believe _=6 (the horizontal side, as it says on the picture,) | = 6 (the vertical side,) and \ = 8.48 (the diagonal)
Step-by-step explanation:
To find the diagonal, you have to use the Pythagorean Theorem, which is a^2 + b^2 = c^2
So, a and b both equal 6, square both of those, you got 36 for each.
Now, add them together and youll get 72
The square root of 72 is around 8.48
Although, im not entirely sure if thats correct or not, so i wouldnt really recommend putting this as your answer :|
Unit 6 lesson 10 surface area and volume unit test
Answer:
You have to ask a question
Step-by-step explanation:
Circle O has a circumference of 36π cm.
Circle O with radius r is shown.
What is the length of the radius, r?
Answer:
r = 18 cm
Step-by-step explanation:
The formula for the circumference of a circle is 2πr.
Hence,
2πr = 36π
r = 18 cm
What is the answer to the question 6/7 + 3/4
Answer:
45/28
Step-by-step explanation:
6/7+3/4
The least common multiple of 7 and 4 is 28.
Convert 6/7 and 3/4 to fractions with the denominator of 28
24/28+21/28
Since the denominators are now the same, add the numorators to get 45/28
Can someone help me? I'm pretty bad at math... But what is the number needed?
6 x ? x 3 = 90
Please answer the questions below
Answer:
see explanation
Step-by-step explanation:
(3)
Parallel lines have equal slopes
the equation of a line in sloipe- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{4}[/tex] x + 5 ⇒ m = [tex]\frac{1}{4}[/tex]
y = 4x + 5 ⇒ m = 4
y = - 4x + 5 ⇒ m = - 4
y = - 4x - 9 ⇒ m = - 4
the 3rd and 4th options have equal slopes and are parallel
(4)
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 4 ⇒ m = [tex]\frac{1}{6}[/tex]
y = - [tex]\frac{1}{6}[/tex] x + 5 ⇒ m = - [tex]\frac{1}{6}[/tex]
y = [tex]\frac{1}{6}[/tex] x + 3 ⇒ m = [tex]\frac{1}{6}[/tex]
y = 6x + 3 ⇒ m = 6
note that a slope of m = 6 , has a perpendicular slope of
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{6}[/tex]
the 2nd and 4th lines are perpendicular
Callie stopped for lunch when she was shopping at the mall. She bought two pieces of
pizza for $2.95 each and a soda for $2.25. About how much did she spend? I have to round the numbers. HELP PLS
Answer:
She spent $8.15
Step-by-step explanation:
2 × $2.95 for two pizza = $5.9
$5.9 + an additional $2.25 for a soda = $8.15
4. Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?
The best unit of measurement for Alex to use for the ropes he is going to use at camp would be centimeters because it is a measurement that fits the needs of his knot shop.
What is a unit of measure?A unit of measure is a unit that is used as a reference and international standard on length, weight, height, among others.
In the case of length, there are several units of measurement such as:
KilometresMetersMilesCentimetersMillimetersFor a knot-making workshop in a camp, the ideal would be to have a rope of at least 2 or 3 meters. However, the ideal unit of measurement for teaching about knots is centimeters because knots do not require a large amount of rope to tie.
Learn more about knots in: https://brainly.com/question/15458643
Find the value of x.
45°
96°
Answer:
39
Step-by-step explanation:
all angles of a triangle equal to 180, so you just have to subtract those two known angles from 180, and you will get the answer.
Find the value of angle x .
Given : -First angle = 45°Second angle = 96°Third angle = x°To Find : -We have to find the value of x .Concept : -The concept of this question belongs to angles of triangle . We know that the sum of all the three angles of triangle is 180°.
So let's get started : -As we know that all the angles of triangle is equal to 180° . So :
1st angle + 2nd Angle + 3rd Angle = 180°45° + 96° + x° = 180°141° + x° = 180°x° = 180° - 141°x° = 39°Therefore , angle x is of 39° .
Verifying : -45° + 96° + 39° = 180°141° + 39° = 180°180° = 180°L.H.S = R.H.SHence, Verified .Thus, our answer is valid .#[tex] \sf \bold{Keep \: Learning}[/tex]a) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA account for 25 additional years, how much is in her account at the end of the 30-year period? Assume an interest rate of 10%, compounded annually. (Round your answer to the nearest cent.)
$
(b) Suppose that Patty's husband delays starting an IRA for the first 10 years he works but then makes $2600 deposits at the end of each of the next 15 years. If the interest rate is 10%, compounded annually, and if he leaves the money in his account for 5 additional years, how much will be in his account at the end of the 30-year period? (Round your answer to the nearest cent.)
$
(c) Does Patty or her husband have more IRA money?
Answer:
From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.
Step-by-step explanation:
:)
Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes.
If the sum is 5 or 6, then Rebecca will clean the dishes.
If the sum is 8 or 9, then Blake will clean the dishes.
If the sum is anything else, they'll roll again.
Is this a fair way to decide who cleans the dishes? Why or why not?
Answer:
it's not fair
Step-by-step explanation:
... if Rebecca rolled the dice it's most likely going to give a 6 or a higher number if Blake rolled the same too would have happened thus it would be fair if the dice was 3 sided
Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes. If the sum is 5 or 6, then Rebecca will clean the dishes. If the sum is 8 or 9, then Blake will clean the dishes. If the sum is anything else, they'll roll again. This is a fair method of decision making by law of probability because both Rebecca and Blake are equally likely to wash the dishes.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Total number of observations in sample space when a pair of dice is rolled = 6² = 36
Number of observations where sum is 5 or 6 = 9
((1,4)(4,1)(2,3)(3,2)(1,5)(5,1)(4,2)(2,4)(3,3))
Probability that Rebecca will clean the dishes = 9/36 = 0.25
Number of observations where sum is 8 or 9 = 9
((2,6)(6,2)(3,5)(5,3)(4,4)(3,6)(6,3)(4,5)(5,4))
Probability that Blake will clean the dishes = 9/36 = 0.25
Since, the probabilities of Rebecca and Blake cleaning the dishes are equal, the method of decision making is fair.
Learn more about probability here
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#SPJ2
Please help me thank youuu!!
Answer:
Step-by-step explanation:
So what you want to know is what are the odds of drawing 4 5 6 out of 13.
P(4 5 6) = 3/13
Odds are a little bit different. You are still getting some idea of how likely an event is.
The formula is Probabity / ( 1 - Probability)
So The probability = 3/13
1 - probability = 1 - 3/13 = 10/13
probability / (1 - probability ) = 3/13 // 10/13 = 3/13 * 13/10 = 3 / 10 or 3 chances in 10.
I think Probability is more intuitively correct.
Answer:
3/13
Step-by-step explanation:
A mitochondrion has a diameter of about 0.00000031 meter. The diameter of a chloroplast is about 3 times that of the mitochondrion. What is the approximate diameter of the chloroplast?
the diameter of the mitochondrion= 0.00000031 meter.
to find:the diameter of the chloroplast.
solution:3×mito= chloroplast
3 × 0.00000031
=0.00000091
= chloroplast
= 9.1 × 10^-7m
the imprecise diameter of the chloroplast is 9.1 × 10^-7m.
-x^2+16x+64=0 need to know using quadratic formula to find the zeroes
Answer:
[tex]x= 8\left(1- \sqrt 2 \right)\\\\\\x= 8\left(1+ \sqrt 2 \right)\\[/tex]
Step by step explanation:
[tex]-x^2 +16x +64 =0\\\\\text{Use the quadratic equation formula,}~~ x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{In this case,}~ a=-1, b=16, c=64\\\\\\x=\dfrac{-16\pm\sqrt{16^2 -4 \cdot (-1)(64)}}{2(-1)}\\\\\\~~~=\dfrac{-16\pm\sqrt{512}}{-2}\\\\\\~~~=\dfrac{-16 \pm \sqrt{256 \times 2}}{-2}\\\\\\~~~=\dfrac{-16 \pm 16\sqrt2}{-2}\\\\\\~~~=8 \pm(-8)\sqrt 2\\\\\text{Hence,}\\\\x=8-8\sqrt 2 = 8\left(1- \sqrt 2 \right)\\\\x= 8+8\sqrt 2 = 8\left(1+ \sqrt 2 \right)[/tex]
