May someone please help me with this?
Answer:
Step-by-step explanation:
First, calculate the angle of FDE (assume it as α) by:
[tex]EF=\frac{\alpha}{360}\times(2\pi)(DE) \rightarrow 2\pi = \frac{\alpha}{360}(2\pi)(6)[/tex]
[tex]\alpha=60^{0}[/tex]
So, use this angle to calculate the area of FDE (unshaded region):
[tex]A_{US}=\frac{\alpha}{360}\times(\pi)(DE)^{2}=\frac{60}{360}(\pi)(6^{2})=6\pi[/tex]
So, the shaded region can be determined by:
[tex]A_{S}=A-A_{US}=\pi(DE)^{2}-6\pi=36\pi-6\pi=30\pi=\frac{60}{2}\pi[/tex]
solve for t; 1/11=cos((2π/3)t)
Answer:
Step-by-step explanation:
Method
Take the inverse Cos of both sides. That will give you the angle on the left.
From there you can solve for t
cos-1(1/11) = cos-1 cos ((2pi/3)t)
1.4798 = 2*pi*t/3 Multiply both sides by 3/2
1.4798 * 3/2 = (2pi*t/3)*3/2
2.2196 = 2*pi*t Divide both sides by 2*pi
2.2196 / (2*pi) = t
t = .3534
This was done by setting my calculator to radians. 1.4798 is a radian measure.
At his son's birth, a man invested $2,000 in savings at 6% for his son's college education.
Approximately how much, to the nearest dollar, will be available in 19 years? (Do not use comma placeholder in response.)
Rounded to the nearest year, approximately how long will it take for the man’s investment to double?
now, this is assuming the 6% is at simple interest rate.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &19 \end{cases} \\\\\\ A=2000[1+(0.06)(19)]\implies A=2000(1.54)\implies A=3080 \\\\[-0.35em] ~\dotfill[/tex]
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$4000\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years \end{cases} \\\\\\ 4000=2000[1+(0.06)(t)]\implies \cfrac{4000}{2000}=1.06t \\\\\\ 2=1.06t\implies \cfrac{2}{1.06}=t\implies 1.89\approx t\implies \stackrel{\textit{rounded up}}{2\approx t}[/tex]
Answer:
value in 19 years: $6051
years to double: 12
Please helppppppp thank you so much
Answer:
7 1/8
Step-by-step explanation:
1 1/8 + 1 1/8 is 2 2/8
2 2/8 + 4 7/8 is 6 9/8 = 7 1/8
n a certain country, the true probability of a baby being a girl is 0.467. Among the next four randomly selected births in the country, what is the probability that at least one of them is a boy?
Answer:
0.9524
Step-by-step explanation:
Since the probability of a baby being a girl is 0.467, then the probability of a baby being a boy is 1 - 0.467 = 0.533
By the Binomial Theorem, the probability of at least one baby out of four being a boy is 1 - (0.467)^4 = 1 - 0.0476 = 0.9524
What is the slope of the line that passes through the points (-10, 9) and (−10,18)?
Answer:
9
Step-by-step explanation:
the equation for the line should be:
y=9x-10
The slope of the line that passes through the point (−10,9) and (10,18) is undefined.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
We need to find the slope of the line that passes through the point (−10,9) and (10,18)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Slope: (18 - 9) / ( -10 + 10)
m = 9/0
So, the slope is undefined.
Hence, the slope of the line that passes through the point (−10,9) and (10,18) is undefined.
Learn more about equations here;
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what is the correct distribution of (2x-8)(3x-6) using the distributive property
Answer:
6x² -36x +48
Step-by-step explanation:
The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)
(2x -8)(3x -6) = 2x(3x -6) -8(3x -6)
= 6x² -12x -24x +48 . . . . . . . form partial products
= 6x² -36x +48 . . . . . . . collect terms
Answer:
6x² - 36x + 48
Step-by-step explanation:
(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6
6x² - 12x - 24x + 48
6x² - 36x + 48 [Answer]
PLEASE RATE!! I hope this helps!!
if you have any questions comment below!!
(I have verified my answer using an online calculator)
-5/6 times - 2/9 helppp
the ans for this q would be 5/27
Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The Bombardier Dash 8 aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6200 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6200lb/37 = 167.6lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are normally distributed with a mean of 185.47 lb and a standard deviation of 39 lb. make sure to include pdf
Using the normal probability distribution and the central limit theorem, it is found that the probability is of 0.9974 = 99.74%, which means that the pilot should take action.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, for the population, the mean and the standard deviation are given by, respectively:
[tex]\mu = 185.47, \sigma = 39[/tex].
For a sample of 37 passengers, we have that:
[tex]n = 37, s = \frac{39}{\sqrt{37}} = 6.4116[/tex]
The probability that the aircraft is overloaded is one subtracted by the p-value of Z when X = 167.6, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{167.6 - 185.47}{6.4116}[/tex]
[tex]Z = -2.79[/tex]
[tex]Z = -2.79[/tex] has a p-value of 0.0026.
1 - 0.0026 = 0.9974.
There is a 0.9974 = 99.74% probability that the aircraft is overloaded. Since this is a very high probability, the pilot should take action.
To lern more about the normal probability distribution and the central limit theorem, you can check https://brainly.com/question/24663213
please answer the following questions
Answer:
False
Step-by-step explanation:
There are some quadratic equations that cannot be solved using the factoring technique. That is why the quadratic formula exists, to solve equations that cannot be factored.
The volumes of two similar solids are 1408 m3 and 594 m3. The surface are of the smaller solid is 549 m2. What is the surface area of the larger solid?
The surface area of the larger solid is approximately 971.13 m².
What is scale factor?
A scale factor is the ratio of the corresponding sides of two similar objects.
Let's find the scale factor as follows:
z = scale factor
x = the volume of the larger solid
y = the volume of the smaller solid
Therefore,
z³ = x / y
z³ = 1408 / 594
z = ∛1408 / 594
z = 11.2081573 / 8.40611799
z = 1.33
Therefore,
let's find the surface area of the larger solid.
The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,
z² = larger solid / 549
surface area of the larger solid = 1.33² × 549
surface area of the larger solid = 1.7689 × 549
surface area of the larger solid = 971.1261
surface area of the larger solid = 971.13 m²
learn more on similar solids here: https://brainly.com/question/2254019
I need help, so this one question: 1/4 (4+x)=4/3
Is stopping me from being great
Answer:
if you are solving for x, x= 4/3
Step-by-step explanation:
How to solve your problem:
1. Rearrange terms
2. Combine multiplied terms into a single fraction
3. Multiply by 1
4. Multiply all terms by the same value to eliminate fraction denominators
5. Cancel multiplied terms that are in the denominator
6. Multiply the numbers
7. Subtract 4 from both sides
8.Simplify
Answer:
X= 4/3
Hopes this helps! ^^
Shannon has a paper cone filled with water. The cone has a diameter of 8 centimeters and a height of 9 centimeters. Select the containers that could hold all of the water in Shannon's paper cone
La integral indefinida de la función h(x)=2x+5x4
Answer:
x^2 + x^5 + C.
Step-by-step explanation:
∫2x + 5x^4 dx
= 2 * x^2/2 + 5 * x^5/5 + C
= x^2 + x^5 + C.
-2x+ 3y=-15 3x+2y = -23 solve by elimination
Answer:
x=237/7 and y=-199/7
Explanation:
Multiply the second equation by 2, then add the equations together.
(−2x+3y=−153)
2(x+2y=−23)
Becomes:
−2x+3y=−153
2x+4y=−46
Add these equations to eliminate x:
7y=−199
Then solve 7y=−199 for y:
7y=−199
(Divide both sides by 7)
y=−199/7
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−2x+3y=−153
Substitute −199/7 for y in−2x+3y=−153:
Add 597/7 to both sides
Divide both sides by -2
23 10. Construct a quadratic equation whose roots are 1 and 2.A 3X-3x + 2-0 B. 3 + 3x - 2-0 C 22 + 3x - 2.0 D 2 - 3x +2=0 E.2x - 3x - 2 =0
Answer:
Step-by-step explanation:
Basic quadratic equation has this following form:
[tex](x-x_{1})(x-x_{2})=0[/tex]
where x1 and x2 are the roots.
For [tex]x_{1}=1[/tex] and [tex]x_{2}=2[/tex], we can find:
[tex](x-1)(x-2)=0 \rightarrow x^{2}-2x-x+2=0 \rightarrow x^{2}-3x+2=0[/tex]
A runner is preparing for a marathon that is divided into 5 sections of equal distance. The Marathon is 42.195 km long. How long is each section of the marathon?
A. 210.975
B. 21.0975
C. 8.439
D. 0.8439
Answer:
8.439
Step-by-step explanation:
Since the marathon is divided on 5 EQUAL sections, and it is 42.195 km long, you only need to divide the length of the marathon by 5.
* WILL MARK BRAINIEST*
PLEASE HELP
7.03 Understanding Compound Events -
Record your results here:
Landing: Frequency:
heads, heads ____________
heads, tails ______________
tails, heads ______________
tails, tails ________________
TOTAL: 50
please help :))
Answer:
Tails, tail: 26
Heads: 9
Heads Tails: 26
Tails: 15
Step-by-step explanation:
(credit to the person who answered your question before me)
Have a great rest of your day
#TheWizzer
A safe has 10,000 possible lock combinations. If a thief tried 80 combinations the first hour, then 40 every hour after, how many hours would it take before trying them all?
It takes 249hrs before trying them all.
You need to purchase supplies for the trip. You have
$1000 to spend.
Oxen: $40 each
Food: $0.20 per lb
Clothing: $10 per set.
Matt also charges 6% tax
Purchase at least 2 oxen,
500lbs of food,
and 5 sets of clothing.
You may want to purchase more.
Select the amount of items and find the total cost including tax.
Answer:
I'd say 955$ or so
Step-by-step explanation:
UNDERSTAND VOLUME
When water is poured from the graduated cylinder below into a rectangular
prism, the rectangular prism is completely filled.
How many 1-cm unit cubes can be packed into the rectangular prism with no gaps
or overlaps?
Answer____ 1-cm unit cubes
Explain your answer.
Check the picture below.
liquid always take the shape of the container that contains it, so 25 cm³ from a beaker or pitcher or a curvy pipe dumped into another container, will always have 25 cm³ as its volume.
In this case it went from the cylinder to a prism, same 25 cm³.
notice in the picture, the volume of a green cube with those dimensions is just 1 cm³.
Which of the binomials below is a factor of this trinomial?
x^2 - 9x + 18
A. x + 2
B. x - 2
C. x - 3
D. x + 3
Answer:
C is the answer
Hope this helps you :) Good Luck!!!
double the difference of 6 and x
The graph of a linear function is shown.
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
zero
Step-by-step explanation:
because it's horizontal line
100 POINTS
Write the integral in one variable to find the volume of the solid obtained by rotating the first‐quadrant region bounded by y = 0.5x2 and y = x about the line x = 5.
Answer:
V = π ∫₀² (y² − 8y + 6√(2y)) dy
or
V = π ∫₀² (6x − 5x² + x³) dx
Step-by-step explanation:
y₁ = 0.5x²
y₂ = x
First, find the intersections of the curves.
0.5x² = x
x² = 2x
x² − 2x = 0
x (x − 2) = 0
x = 0 or x = 2
So the points of intersection are (0, 0) and (2, 2).
When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.
One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.
V = ∫₀² π [(3−y)² − (3−√(2y))²] dy
V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy
V = π ∫₀² (y² − 8y + 6√(2y)) dy
Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².
V = ∫₀² 2π (3 − x) (x − 0.5x²) dx
V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx
V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx
V = π ∫₀² (6x − 5x² + x³) dx
The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).
If yesterday's day after tomorrow is Sunday, what day is tomorrow's day before
yesterday?
Answer:
friday
Step-by-step explanation:
Multiply
2n(-5n +2y-c)
2b² (3a – 5b +8c)
Answer:
thats the answer
Step-by-step explanation:
Answer:
1) = -10n^2 + 4ny -2nc
2) = 6b^2a-10b^3+16b^2c
Step-by-step explanation:
Need to see what the best result
Answer:
[tex]4 \sqrt{5} [/tex]
Question
Which expression is equivalent to 5x2 – 18x + 9?
O (5x - 1)(x – 9)
O (5x – 9)(x + 1)
O (5x – 3)(x - 3)
O (5x + 3)(x - 3)
Answer:
(5x – 3)(x - 3)
Step-by-step explanation:
Break the expression into groups
[tex]=\left(5x^2-3x\right)+\left(-15x+9\right)[/tex]
Factor out
[tex]=x\left(5x-3\right)-3\left(5x-3\right)[/tex]
Factor out common terms
[tex]=\left(5x-3\right)\left(x-3\right)[/tex]
Hence, Answer is (5x-3)(x-3)
~Lenvy~
The expression which is equivalent to 5x² - 18x + 9 is (5x – 3)(x - 3).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
5x² - 18x + 9
We have to find the equivalent expression of this.
We have to factor this.
Using quadratic formula,
x = -(-18) ± √[(-18)² - (4 × 5 × 9)] / (2 × 5)
= (18 ± √144) / 10
= (18 ± 12) / 10
x = 3 and x = 3/5
So the expression can be factored as
(x - 3)(x - 3/5) = 0
(x - 3)(5x - 3) = 0
Hence the correct option is (5x – 3)(x - 3).
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-(4-x)=3/4(x-6) i need help pls
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=−2
hope this is what your looking for
Answer:
x = -2
Step-by-step explanation:
[tex]-4+x=\frac{3}{4}x-\frac{9}{2}[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]-4+x+4=\frac{3}{4}x-\frac{9}{2}+4[/tex]
[tex]Simplify[/tex]
[tex]x=-\frac{1}{2}+\frac{3}{4}x[/tex]
[tex]\mathrm{Subtract\:}\frac{3}{4}x\mathrm{\:from\:both\:sides}[/tex]
[tex]x-\frac{3}{4}x=-\frac{1}{2}+\frac{3}{4}x-\frac{3}{4}x[/tex]
[tex]\frac{1}{4}x=-\frac{1}{2}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4[/tex]
[tex]4\cdot \frac{1}{4}x=4\left(-\frac{1}{2}\right)[/tex]
[tex]x=-2[/tex]
~lenvy~