Answer:
2 Inches
Step-by-step explanation:
Area of a triangle = (1/2)* Base * Hight
lets consider the base of the triangle is X inches,
then, Hight of the triangle is 2X
Then the Area of the Angle is = (1/2)*X*2X
4 = x^{2}
X = 2
Plz help
I will be giving extra 50 points
it isn't possible to just give extra points in a simple and reliableway. anyways, let's starts.
a. is simple, just put the terms in order
r² +6r -5
because:
[tex] {r}^{2} + {6r}^{1} + {5r}^{0} [/tex]
anything to the power of 0 equals 1,
because it's the same as r/r, and 5 * r/r = 5*1
b. same logic as above
a²b² -5ab +33
c.
-c³ +ab +d +9
d.
-9y^5 - 2x³y²z +4x² +10x +1
^5 = to the power of five, it's the fastest way to type it without the special math input tool.
hope it helps you
Answer:
I agree with the above one.
Will give brainliest answer
Answer:
Step-by-step explanation:
2%
Find the range of the following piecewise function.
f(x) =
(3x-2 if -1<(or equal to)x<0
2x+3 if 0<(or equal to)x<5
Answer:
[tex]\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}[/tex]
Step-by-step explanation:
The following piecewise functions are linear functions. The graph of any of them is a line segment.
We just need to calculate the value of the function at each end specified in the brace.
[tex]y=3x-2\ \text{if}\ -1\leq x<0[/tex]
Substitute x =-1 and x = 0:
[tex]x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2[/tex]
Range of this piece is [-5; -2)
[tex]y=2x+3\ \text{if}\ 0\leq x<5[/tex]
Substitute x =0and x = 5:
[tex]x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13[/tex]
Range of this piece is [3; 13)
Therefore the range of the following piecewise function is:
[tex][-5;\ -2)\ \cup\ [3;\ 13)[/tex]
Look at the picture.
A right prism of height 15 cm has bases that are right triangles with legs 5 cm and 12 cm. Find the total surface area of the prism. Please explain.
a) 315 cm2 squared
b) 480 cm2 squared
c) 510 cm2 squared
d) 570 cm2
Answer:
Option (C)
Step-by-step explanation:
Surface area of a right prism = 2(Area of the triangular base) + Ph
Here, P = Perimeter of the base
h = Height of the prism
Area of the triangular base = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(5)(12)[/tex]
= 30 cm²
Height of the prism = 15 cm
Perimeter of the base = (5 + 12 + 13)
= 30 cm
Surface area of the right prism = 2(30) + 30(15)
= 60 + 450
= 510 cm²
Therefore, Option (C) will be the correct option.
A random sample of 50 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $18.21 per car. The population standard deviation is $5.92.
Round your answers to two decimal places.
(a) State the point estimate for the population mean cost of fast food bills at this restaurant $
(b) Calculate the 95% margin of error. $
(c) State the 95% confidence interval for the population mean cost of fast food bills at this restaurant.
$
≤ µ ≤ $
(d) What sample size is needed if the error must not exceed $1.00?
n =
First, we find the point estimate, given by the sample mean. Then, with this, and the standard deviation of the population given, we can find the margin of error, and then, we can find the confidence interval and the minimum sample size necessary.
Doing this, we get that:
a) The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.
b) The 95% margin of error is $1.64.
c) The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.
d) The sample size needed is 135.
Question a:
The point estimate for the population mean is the sample mean, which is of $18.21.
The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.
Question b:
We have to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a p-value of , so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{5.92}{\sqrt{50}} = 1.64[/tex]
The 95% margin of error is $1.64.
(c) State the 95% confidence interval for the population mean cost of fast food bills at this restaurant.
The lower end of the interval is the sample mean subtracted by M. So it is 18.21 - 1.64 = 16.57
The upper end of the interval is the sample mean added to M. So it is 18.21 + 1.64 = 19.85
The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.
(d) What sample size is needed if the error must not exceed $1.00?
This is n for which M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{5.92}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*5.92[/tex]
[tex](\sqrt{n})^2 = (1.96*5.92)^2[/tex]
[tex]n = 134.6[/tex]
Rounding up:
The sample size needed is 135.
For a question in which you find a confidence interval using the z-distribution, you can check https://brainly.com/question/24175328
To find the minimum sample size for a confidence interval, you can check https://brainly.com/question/22667000
what is a 6 digit number that is divisible by 3 but not 2,4,5
Answer:
375681
Step-by-step explanation:
this number consists of 6 digits, which are divided by 3 in total. for example, 372-3+7+2=12..12:3=4 so 372 is divisible by 3
next, it's odd number
it doesn't end with 5 and it doesn't end with 0
and the last thing, it doesn't end with 2 numbers, which is divided by 4. for example, 524...24 is divided by 4, so 524 is divided too
so it may be number like
375681...3+7+5+6+8+1=30 so it's divided by 3
it isn't divided by 2 because it's odd number
isn't divided by 5, because it doesn't end with 5 or 0
and isn't divided by 4, because we can't divide 81 by 4
it can be another number, as you wish. you can create it by yourself
Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.
Key: C = Parents send children to school.
E = Employees go to work.
P = The public will panic.
Q = Infected people are quarantined.
S = There is a swine flu epidemic.
Translation:
The translation for the discrete statements are:
If S, then (Q and P); S → (Q ∧ P)
If P, then (not C and not E). P → (¬C ∧ ¬E)
Given data:
The given statement can be translated into symbolic logic as follows:
C: Parents send children to school.
E: Employees go to work.
P: The public will panic.
Q: Infected people are quarantined.
S: There is a swine flu epidemic.
The translation of the statement is as follows:
If S, then (Q and P);
If P, then (not C and not E).
Symbolically, the statement can be written as:
S → (Q ∧ P)
P → (¬C ∧ ¬E)
Here, the arrow (→) represents "if...then," ∧ represents "and," and ¬ represents "not."
This translation represents the logical relationships between the events described in the statement.
To learn more about discrete mathematics, refer:
https://brainly.com/question/30565766
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The complete question is attached below:
Use the symbolic logic to transform the given statements.
Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.
Key:
C = Parents send children to school.
E = Employees go to work.
P = The public will panic.
Q = Infected people are quarantined.
S = There is a swine flu epidemic.
The statement when translated into symbolic logic would be (S -> (Q & P)) & (P -> (~C & ~E)).
How to translate into symbolic logic ?The given statement can be translated into symbolic logic as follows:
"If there is a swine flu epidemic, then infected people are quarantined and the public will panic" can be translated to:
S -> (Q & P)
"and if the latter occurs" refers to "the public will panic". Thus, "then parents do not send children to school and employees do not go to work" can be translated to:
P -> (~C & ~E)
Now, combining both parts of the statement using the "and" operator:
(S -> (Q & P)) & (P -> (~C & ~E))
Find out more on symbolic logic at https://brainly.com/question/917076
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The full question is:
Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.
Key:
C = Parents send children to school.
E = Employees go to work.
P = The public will panic.
Q = Infected people are quarantined.
S = There is a swine flu epidemic.
Geometria ayuda por favor
Answer:
72°
Step-by-step explanation:
Para el pentagono ABCDE,
m<C = (n - 2)(180)/n = (3)(180)/5 = 108
m<D = m<C = 108
Para el quadrilatero BCDE,
m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360
m<C = m<D = 108
m<CBE = m<DEB = x
m<CBE + m<C + m<D + m<DEB = 360
x + 108 + 108 + x = 360
2x + 216 = 360
x + 108 = 180
x = 72
ASAP ! PLSSSQ!!!!!!!
Answer:
16
Step-by-step explanation:
SOMEBODY PLEASE HELP ME!!!! I NEED THIS!!!!
Answer:
47.1
Step-by-step explanation:
We know side LM corresponds with side OP with a factor of some number. The value of side LM is 8, and the value of side OP is 29. If we divide the two numbers, we will find the scale factor of which triangle NOP is larger than KLM. 29/8 simplifies to 3.625. Now, to find the value of side PN, we must find the side it corresponds to on triangle KLM. Because K corresponds with N, and M corresponds with P, we know the side that PN corresponds with on triangle KLM is side KM. Side KM has a value of 13, so side PN must be 3.625 times larger than 13.
13 times 3.625 = 47.125. The question says to round to the nearest tenth, so the answer would be 47.1
What multiplication expression is equal to 3/4 divided by 2/5
Answer:
3 * 5
4 2
Step-by-step explanation:
To convert division problems with fraction into multiplication problems use the KCF rule
Keep the 1st Fraction the same
Change the division sign to a multiplication sign
Flip the fraction (reciprocal)
Find two numbers that have 2, 5, and 7 as factors.
Step-by-step explanation:
One easy way to find a number that has all of these numbers as factors is to multiply them all together, so 2 * 5 * 7 = 10 * 7 = 70, which is one number.
To find the other number, we can multiply the number we already have by any integer greater than 1, e.g. 2, to get 70* 2= 140 as our other number, making our numbers 70 and 140
Consider the triangle.
Which statement is true about the lengths of the sides?
O Each side has a different length.
O Two sides have the same length, which iS less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
length of the third side.
Answer:
the last one
Step-by-step explanation:
this is because it is an equalactral triangle meaning that the line at the side is the only one which its degrees is 90 so if u add 45 and 45 its 90(hope this helps)
Answer:
Two sides have the same length, which iS less than
the length of the third side.
Step-by-step explanation:
Hypotenuce is a sode opposite to right angle, which is always bigger then any side of right triangle. since both angles are the same, Adjacent and Opposite are similar size as well.
I need you guy’s help answer thanks so much
9514 1404 393
Answer:
D
Step-by-step explanation:
For the inverse function, swap the words "domain" and "range" in the description of the function. The domain of a function is the range of its inverse, and vice versa.
Inverse function domain: x > 0; range: y < 2.
Drag the equations to the correct locations on the table. Not all equations will be used.
Determine which equation is parallel to line JK and which is perpendicular to line JK.
9514 1404 393
Answer:
parallel line: 5x+3y = 13perpendicular line: 6x-10y = 7Step-by-step explanation:
The equation of the given line can be written as ...
Δy·x -Δx·y = Δy·x1 -Δx·y1
where Δy and Δx are the differences in y and x coordinates of two points on the line, respectively. Here, we can find them to be ...
Δy = 5-(-5) = 10
Δx = -5 -1 = -6
Then the equation of the given line can be written as ...
10x +6y = 10(-5) +6(5) = -20
Dividing by 2 puts this in standard form:
5x +3y = -10 . . . . . . equation of the graphed line
__
A parallel line will have the same x- and y-coefficients with a different constant. The equation of the parallel line is 5x +3y = 13.
A perpendicular line will have the x- and y-coefficients swapped, with one of them negated. The equation constant will likely be different. The coefficients may be multiplied by some factor so all the numbers are integers.
The equation of a perpendicular line is 6x -10y = 7.
Inge is competing in a 400 m race. She runs at a constant speed of 4.6 m/s for the first 150 m, then 4.2 m/s for 40 seconds. The remainder of the race takes her 38 seconds to complete. What is Inge's average speed for the entire race to 1 dp?
9514 1404 393
Answer:
3.6 m/s
Step-by-step explanation:
To find Inge's average speed for the race, we need to know her total distance (400 m) and her total time. The times for the 2nd and 3rd portions of the race are given, but we need to figure the time for the first portion. That will be ...
time = distance/speed
time = (150 m)/(4.6 m/s) = 32.609 s . . . . time for first 150 m
Then Inge's average speed is ...
(400 m)/(32.609 s + 40 s + 38 s) = (400 m)/(110.609 s) ≈ 3.6 m/s
A camera with a price of d dollars is discounted 25%. write two expressions to represent the price of the camera with the discount.
Answer:
17d/20
Step-by-step explanation:
100-25=85
85/100×d
=17/20×d
=17d/20
If you were going to install a new window in your bathroom, what needs to be measured? What
else might you need to consider?
measure horizontally
measure vertically
measure depth..
Berta’s teacher, Ms. Rose Harper tells her class that when sixty consecutive odd integers are added together, their sum is 4800 and asks the class to determine the largest of the sixty integers. Help Berta get the answer!
Answer:
Hello,
le largest is 139
Step-by-step explanation:
Since i am a lasy boy, i am going to calculate:
1+3+5+7+...+(1+2*59) there are 60 numbers
=1+3+5+..+119
=60*(1+119)/2=30*120=3600 (not enough)
4800-3600=1200 are in rest.
1200/60=20 so we add 20 to each number:
21+23+25+27+...+139=4800
Answer:
139
Step-by-step explanation:
Given: 60 consecutive odd integers added = 4800
if the first integer is x then the next integer will have 2 more to get the next odd integer ( for example 3, 5, 7... is 3, 3+2, 3+4)
x, x+2, x+4 , x+6,..... x+118
x, x+2*1 , x+ 2*2 , x+ 2*3 , .... x+2*59
first term, second term, .... , 60th term
Sum = [ number of terms(first term+last term) ] / 2
4,800 = [60 (x+x+118)] / 2, multiply both sides by 2
9,600 = 60 (2x+118) , divide both sides by 60
160 = 2x +118, subtract 118 from both sides of the equation
42 =2x , divide both sides by 2
21 = x, this is the smallest integer
the largest integer is the 60th term
x+118 = 21+118 = 139
Help please, thanks
Answer: B. X It passes the vertical line test :)
Step-by-step explanation:
Surface Area: Change in Dimensions
Draw your own original rectangular prism and give it your own length, width and height values. (Use different numbers for each dimension but make them as small as you
want to make calculations easier).
a) What is the Surface Area (S1) of the prism?
b) Now triple times 3) the length of the prism and keep the other two dimensions the same. Find the new Surface Area (S2) of the prism. Next divide $2/81. How many
times bigger did the new surface area get?
c) Now triple all three dimensions of your orginal prism. Find the new Surface Area (S3) of the prism. Next divide S3/S1. How many times bigger did the new surface
area get? What happens to the surface area when you double all of the dimensions of a 3-Dimensional figure?
Click "Create Journal Entry" to enter your answer.
Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 2 million barrels of oil in the well; six years later 1,000,000 barrels remain.
Required:
a. At what rate was the amount of oil in the well decreasing when there were 1,200,000 barrels remaining?
b. When will there be 100,000 barrels remaining?
Answer:
A. It was decreasing by -138,629.44 barrels
B. 26 years of time
Step-by-step explanation:
Due to the length of this question solution, I was unable to type it. The answer is contained in the attachment.
A. At 1200000
Bt = 1200000
-1/6ln2 x 1200000
Solve this using a calculator
= -138,629.4361
So the amount of oil is decreasing by -138,629.44 barrels
Find the amount that results from the given investment.
$400 invested at 5% compounded quarterly after a period of 2 years
After 2 years, the investment results in $
(Round to the nearest cent as needed.)
Answer:
440dollars............
Which word MOST affects the tone of this sentence?
A slender woman walked into the room wearing a pink dress and a gaudy hat.
A- room
B- gaudy
C- woman
D- slender
Answer:
B
Step-by-step explanation:
pleaseee help :(The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.
If a farmer is chosen at random, what is the probability that the farmer planted corn OR lettuce?
Answer:
1/2
Step-by-step explanation:
I am not sure if it's correct
The probability that the farmer planted corn OR lettuce is 1/2.
What is the probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.
The number of farmers plant only corn = 5
The number of farmers plant only lettuce = 10
The number of farmers plant corn and lettuce = 10
Total number of farmers = 50
If a farmer is chosen at random, then the probability that the farmer planted corn OR lettuce is;
[tex]\rm Probability =\dfrac{Corn + Lettuce+ Corn and Lettuce}{Total \ number \ of \ farmers}\\\\ Probability =\dfrac{5+10+10}{50}\\\\\rm Probability =\dfrac{25}{50}\\\\\rm Probability =\dfrac{1}{2}[/tex]
Hence, the probability that the farmer planted corn OR lettuce is 1/2.
Learn more about probability here;
https://brainly.com/question/12705626
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Given f(x) = 6x + 2, find f(x – 3).
A. f(x – 3) = 6x – 1
B. f(x – 3) = 6x – 16
C. f(x - 3) = x - 1
D. f(x – 3) = 6x2 – 16x - 6
Answer: B. f(x - 3) = 6x - 16
Concept:
When encountering a question that gives you a function and the evaluation value, then basically plug the given value into the function.
Solve:
Given function and value
f(x) = 6x + 2
f(x - 3)
Substitute the value into the given expression
f(x - 3) = 6 (x - 3) + 2
f(x - 3) = 6x - 18 + 2
f(x - 3) = 6x - 16
Hope this helps!! :)
Please let me know if you have any questions
The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder,
in cubic units?
What is the range of the function
Answer: [tex]-\infty < y < \infty[/tex] which is choice A
This is the set of all real numbers.
===========================================================
Explanation:
If you were to graph this function, then it spans infinitely upward and infinitely downward as well. That means that we can land on any y value we want, and that's why the range is the set of all real numbers.
Another approach we could take is to swap x and y to get [tex]x = \sqrt[3]{y+8}[/tex] which solves to [tex]y = x^3-8[/tex] . This is the inverse of the original function your teacher gave you. Recall that the domain and range swap roles when going from the original function to the inverse. What this means is that because the domain of
Domain of inverse = set of all reals
Range of original = set of all reals
please help, it’s urgent !
Answer:
do your own work its not hard
Step-by-step explanation:
Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. FH is ___________.
Answer:
FnH = {Meagan}
Step-by-step explanation:
Given the following sets and events:
S = {Albert, Betty, Abel, Jack, Patty, Meagan}
F = {Betty, Patty, Meagan},
H = {Abel, Meagan}
P = {Betty, Abel}.
In order to get FnH
The intersection of F and H is the element that is common to both sets. Hence for the set given, we can see that Meagan is common to both sets, therefore:
FnH = {Meagan}
