Answer:
87.5%
Step-by-step explanation:
The area of the entire rectangle is 8 by 6,
8x6=48 so the area is 48 units^2.
The area of the triangle is A=1/2bh
A=1/2(2)(6)
A=1(6)
A=6 units^2
6/48=0.125
0.125=12.5%
You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.
100-12.5=87.5
There is an 87.5% chance it will not land in the triangle
Sinx-sin3x /sin^2x -cos^2x
The answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x). To simplify the given expression, we can use the identity sin 2x = 2sin x cos x.
Substitute the numerator with sin x - sin 3x. Substitute the denominator with sin² x - cos² x to get a common factor.
Substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - cos² x - cos² x).Then substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - 2 cos² x).
Now, use the identity sin 2x = 2sin x cos x to simplify the numerator. sin x - sin 3x can be written as sin x - sin (x + 2x) which equals sin x - [sin x cos 2x + cos x sin 2x].
Now, simplify the expression: sin x (1 - cos² x - cos² x) - sin x cos 2x - cos x sin 2x. We will simplify this expression further, leading us to get sin x (1 - 2 cos² x) - sin 2x cos x.
Finally, the expression becomes sin x (1 - 2 cos² x) - sin 2x cos x / (1 - 2 cos² x). Therefore, the answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x).
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A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?
100 POINTS
Answer:
Step-by-step explanation:xmccc
Determine whether the function is periodic. If it is periodic, find the period. f(x)=7sin^3x a. 2pi b. 4pi c. Not periodic d. pi
Daria rolls a number cube. What is the probability that it will land on a 1?
Answer:
1 out of 6 or 16.7%
Step-by-step explanation:
How much Hundreds equal 28?
Answer:
0.28
Step-by-step explanation:
0.28*100=28
PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answer:
By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.
Step-by-step explanation:
The line passes through the points (3, 7) and (4, 9)
Answer:
I'm confused as to what your asking?
Answer:
y= 2x +1
Step-by-step explanation:
slope 9-7/4-3 = 2/1= 2
y-7 = 2(x -3)
y-7 = 2x -6
y = 2x +1
olve the Following Inequality Select the possible range of solution to make the Statement True.
-6m < -24
Group of answer choices {Select All That Apply}
1, 2, 3
-1, -2, -3
4, 5, 6
-, 4, -5, -6
Answer:
We have ,
=> -6m < -24
=> m < -24/-6
=> m < 4
Therefore ,
m € (4,-∞)
When a real zero x = a of a polynomial function fis of even multiplicity, the graph of f ---Select-- the x-axis at x = a, and when it is of odd multiplicity, the
graph of f ---Select-- the x-axis at x = a.
Answer:
touches
crosses
Step-by-step explanation:
[tex]x=a[/tex] is said to be a zero of a function [tex]f(x)[/tex] if [tex]f(a)=0[/tex]
A zero say [tex]x=a[/tex] has a "multiplicity" equal to [tex]n[/tex], if the factor [tex](x-a)^n[/tex] appears in the polynomial.
When a real zero [tex]x=a[/tex] of a polynomial function [tex]f[/tex] is of even multiplicity, the graph of [tex]f[/tex] touches the x-axis at [tex]x=a[/tex], and when it is of odd multiplicity, the
graph of [tex]f[/tex] crosses the x-axis at [tex]x=a[/tex].
Which describes the correlation shown in the scatterplot?
Answer:2,4
Step-by-step explanation:
Select the correct comparison
Answer:
b
Step-by-step explanation:
The mathematics faculty at a college consists of 7 professors, 4 associate professors, 4 assistant professors, and 6 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
Answer:
0.619 = 61.9% probability of choosing a professor or an instructor.
Step-by-step explanation:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7 + 4 + 4 + 6 = 21 members
7 + 6 = 13 professors or instructors.
Find the probability of choosing a professor or an instructor.
p = 13/21 = 0.619
0.619 = 61.9% probability of choosing a professor or an instructor.
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
A scale of 3
Step-by-step explanation:
dd2d2de2f3f
a study of the effects of exercis used rats bred to have high or low capacity for exercise. The 8 high capacity rats had mean blood pressure 89 mm Hg and variance 81; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169. What is the value of the two-sample t statistic for comapring the two population means
Answer:
[tex]t=-2.86[/tex]
Step-by-step explanation:
From the question we are told that:
Sample 1 [tex]n_1=8[/tex]
Sample 1 mean blood pressure [tex]\=x_1=89mmHg[/tex]
Sample 1 variance [tex]\sigma_1=81[/tex]
Sample 2 [tex]n_2=8[/tex]
Sample 2 mean blood pressure [tex]\=x_2=105mmHg[/tex]
Sample 2 variance [tex]\sigma_2=169[/tex]
Generally the equation for the test of statistic is mathematically given by
[tex]t=\frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_2}{n_1}+\frac{\sigma_2}{n_2} } }[/tex]
[tex]t=\frac{89-105}{\sqrt{\frac{81}{8}+\frac{169}{8} } }[/tex]
[tex]t=-2.86[/tex]
therefore the samples test for comparing the two population means
[tex]t=-2.86[/tex]
20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)
Answer:
315.5cubic in
10.4 x 4.5 x 6.5=
Step-by-step explanation:
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.
The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3
To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:
Since for all x > 0, we have:
Thus, by the limit comparison test:
converges if and only if converges.
We can evaluate using the power rule of integration:
where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:
∫(1/x^4) dx from 1 to infinity = lim as b → infinity
=>
=> 0 - (-1/3)
=> 1/3
Since the integral dx converges by comparison to a convergent integral, and its value is 1/3.
To learn more about Convergent integral :
Note: The full question is
Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.
Answer:
29.71%
Step-by-step explanation:
The interest rate of the savings account is = 114.3%
Calculation of interest rate percentage of an accountThe start up or principal amount (P) = $181.25
Simple interest after 7 years (SI) = $1450
Time or duration (T) = 7 years
To calculate the rate percentage of interest;
R = SI × 100/P×T
R = 1450 × 100/ 181.25 × 7
R = 145000/1268.75
R = 114.3%
Therefore, the interest rate percentage of the savings account is = 114.3%
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According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?
The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.
How to calculate LCD TV depreciation?To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.
A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:
700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39Learn more about depreciation in: https://brainly.com/question/15085226
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Which statement is true about angle DCB and angle ACF
Answer: they are complementary but not necessarily congruent
Step-by-step explanation:
Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax.
Answer: $240.75
Step-by-step explanation:
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A
THANK YOU!!
Answer:x=18
Step-by-step explanation:
if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V
For the following set of data, find the mean, median and mode.
age of children Danielle babysits:
6,9,2,4,3,6,5
(3 Points)
Mean = 4 years old
Mean = 5 year old
Mean = 9 years old
Mode = 2 years old
Mode = 6 years old
Mode = 9 years old
Median = 4 years old
Median = 4.5 years old
Median = 5 years old
A recipe calls for ¾ cups of molasses. If you triple the recipe, how much molasses is needed?
A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A recipe calls for ¾ cups of molasses. If you triple the recipe, the molasses is:
Amount of molasses needed = 3 * (3/4) cup = 9/4 cups
A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed
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Which expression is equivalent to -8?
O-2-3
-3
9
2-3
Answer:
the answer would be c
Step-by-step explanation:
the answer would be c because its a fraction
606 divided by 49 in long division
Answer:
12 <----
Step-by-step explanation:
the remainder is 18 but the answer is 12 and the full thing would be
------> 6.18367346939
-9b+2n-4+2b
Solve please
Answer:
-9b+2n-4+2b
-7b+2n-4 is your answer
4.
A restaurant offers seven kinds of main
courses, nine types of drinks, and four types of
desserts. How many different meals
consisting of a main course, a drink, and a
dessert does the restaurant offer? |
Answer:
252
Step-by-step explanation:
Types of main courses available = 9
Types of drinks offered = 7
Types of deserts = 4
Number of different meals consisting of a main course, a drink and a desert offered
Using the combination rule :
9C1 * 7C1 * 4C1
nCr = n! ÷ (n-r)!r!
So using calculator we obtain :
9 * 7 * 4 = 252
Kei buys a table and 12 chairs. Each chair cost the same price. The table cost $165. The total cost for the table and 12 chairs is $ 465. What is the cost of one chair?
Answer:
$38.75
Step-by-step explanation:
$465/12=$38.75
complete the table for the equation
Answer:
(2,5)
(3,-4)
(4,-7)
(5,-4)
(6,5)
determine if the work for each problem is correct correct only errors and explain your thinking
Answer:
v= BH
the second part is wrong the base is 7.5 not 9.5
so the base look like this
v = 7.5(13)
v = 97.5
Step-by-step explanation: