Answers
Answer:
44. answer = a. (<)
45. answer = b. (>)
Step-by-step explanation:
To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.
So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:
10 / sin(mQRW) = 17 / sin(mRWQ)
sin(mQRW) / sin(mRWQ) = 10 / 17
The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)
In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:
15 / sin(mRTW) = 8 / sin(mTWR)
sin(mRTW) / sin(mTWR) = 15 / 8
If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)
Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.
Related Questions
Which of the following statements are equivalent to the statement "Every integer has an additive inverse" NOTE: (The additive inverse of a number x is the number that, when added to x, yields zero. Example: the additive inverse of 5 is -5, since 5+-5 = 0) Integers are{ ... -3, -2,-1,0, 1, 2, 3, ...} All integers have additive inverses. A. There exists a number x such that x is the additive inverse of all integers.B. All integers have additive inverses.C. If x is an integer, then x has an additive inverse.D. Given an integer x, there exists a y such that y is the additive inverse of x.E. If x has an additive inverse, then x is an integer.
Answers
Answer:
B, C and D
Step-by-step explanation:
Given:
Statement: "Every integer has an additive inverse"
To find: statement that is equivalent to the given statement
Solution:
For any integer x, if [tex]x+y=0[/tex] then y is the additive inverse of x.
Here, 0 is the additive identity.
Statements ''All integers have additive inverses '', '' If x is an integer, then x has an additive inverse'' and ''Given an integer x, there exists a y such that y is the additive inverse of x'' are equivalent to the given statement "Every integer has an additive inverse".
Estimate the area of the circle equal three decimal 14 round to the nearest hundredth if necessary9
Answers
Answer:
49π m² or 153.94 m²
Step-by-step explanation:
Area of a circle: A = πr²
We are given r as 7, so simply plug it in
A = π(7)^2
A = 49π m²
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5), as instructed, to ?nd a second solution y2(x).
y``+2y`+y=0
Answers
Answer:
Step-by-step explanation:
We will use the reduction of order to solve this equation. At first, we need a solution of the homogeneus solution.
Consider the equation [tex]y''+2y'+y=0[/tex] We will assume that the solution is of the form [tex]y=Ae^{rx}[/tex]. If we plug this in the equation, we get
[tex]Ae^{rx}(r^2+2r+1)=0[/tex]
Since the exponential function is a positive function, and A should be different to zero to have non trivial solutions, we get
[tex]r^2+2r+1=0[/tex]
By using the quadratic formula, we get the solutions
[tex]r= \frac{-2\pm \sqrt[]{4-4}}{2}=-1[/tex]
So one solution of the homogeneus equation is of the form [tex]y=Ae^{-x}[/tex]. To use the reduction of order assume that
[tex] y = v(x)y_h[/tex]
where [tex]y_h = Ae^{-x}[/tex]. We calculate the derivatives and plug it in the equation
[tex] y' = v'y_h+y_h'v[/tex]
[tex]y'' = v''y_h+v'y_h'+y_h'v'+y_h''v = v''y_h+2v'y_h+y_h''v[/tex]
[tex](v''y_h+2v'y_h'+y_h''v)+2(v'y_h+y_h'v)+vy_h = 0[/tex]
If we rearrange the equation we get
[tex]v''y_h+(2y_h'+2y_h)v'+v(y_h''+2y_h'+y_h)=0[/tex]
Since [tex]y_h[/tex] is a solution of the homogeneus equation we get
[tex]v''y_h+(2y_h'+2y_h)v'=0[/tex]
If we take w = v', then w' = v''. So, in this case the equation becomes
[tex]w'y_h+(2y_h'+2y_h)w=0[/tex]
Note that [tex]y_h' = -1y_h[/tex] so
[tex]w'y_h=0[/tex]. Since [tex]y_h[/tex] cannot be zero, this implies
w' =0. Then, w = K (a constant). Then v' = K. So v=Kx+D where D is a constant.
So, we get that the general solution is
[tex] y = vAe^{-x} = (Kx+D)Ae^{-x} = Cxe^{-x} + Fe^{-x}[/tex] where C, F are constants.
Jose contributes to an employer-sponsored 401(k) plan. For the first 6% of
Jose's salary, his employer matches 100% of his 401(k) contributions, and
from 6% to 12%, Jose's employer matches 50% of his 401(k) contributions,
Jose's salary is $50,000, and last year he contributed $6000 to his 401(k)
plan. What was the total amount that was contributed to his 401(k) last year?
O A. $10,500
B. $17,200
C. $14,500
D. $16,000
Answers
Answer:
(A)$10,500
Step-by-step explanation:
Joe contributed $6000 out of a salary of $50,000.
6% of $50,000=$3000
Since his employer matches 100% of his contributions for the first 6%:
The employer adds $3000.
For the other $3000, Jose's employer matches 50%.
Therefore, the employer adds:
50% X 3000=$1500
Total Contribution by Jose's Employer = $3000+1500=$4500
Therefore, the total amount that was contributed to Jose's account last year
=Joe's Contribution + Employer's Contribution
=6000+4500
=$10,500
The correct option is A.
The correct answer is $10,500.
Does anybody know why these are wrong?
Answers
Answer:
They aren't wrong. The program is.
Step-by-step explanation:
The numbers you entered are the answers that matches the correct answers. It is a program error.
What is the distance between the following points?
Answers
Answer:
D. d = [tex]\sqrt{58}[/tex]
Step-by-step explanation:
Use the distance formula: d = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2} }[/tex]
The two points are (6, -2) and (3, -9)
Plug the values into the formula:
d = [tex]\sqrt{(3 - 6)^{2}+ (-9 + 2)^{2} }[/tex]
Simplify
d = [tex]\sqrt{(-3)^{2}+ (-7)^{2} }[/tex]
d = [tex]\sqrt{9+ 49 }[/tex]
d = [tex]\sqrt{58}[/tex]
I hope this helps :))
What is the square root of 28
Answers
Answer:5. 291503
Step-by-step explanation:
√28
2√7
5. 291503
write (n^3)^2 without exponets
Answers
Step-by-step explanation:
[tex]( {n}^{3} )^{2} = {n}^{6} = n \times n \times n \times n \times n \times n [/tex]
Answer:
n x n x n x n x n x n
Step-by-step explanation:
(n^3)^2 = n^6 = n x n x n x n x n x n
Can someone organize these from least to greatest
Answers
-4.8 * 3.2 [least],
4.32/3,
-2 3/5 - (-1 2/5),
2 1/4 + (-1 2/5) [greatest]
Step-by-step explanation:
-4.8 * 3.2 = -15.36
4.32 / -3 = -1.44
-2 3/5 - (-1 2/5) = -2 3/5 + 1 2/5 = -2.6 + 1.4 = -1.2
2 1/4 + (-1 2/5) = 2 5/20 - 1 8/20 = 17/20 = 0.85
An employee earns a 25% commission rate on his sales. One day he earned $175. What was his amount of sales?
Answers
Answer:
sales = $700
Step-by-step explanation:
he earned commission of 175
this is 25% of sales
if 25% = 175
what about 100%
sales = (100*175)/25
sales = $700
Answer:700
Step-by-step explanation:
There are 11 students in our Science class left to give their presentations. Today we will have time for 6 presentations. How many different ways can the teacher choose the presenters?
Answers
Answer:
He has 2,772 ways
Step-by-step explanation:
Hello,
the teacher has to choose 6 students and there are 11 students in total.
When he chooses the first student he has 11 choices
if he has to choose 1 students he has 11 ways to do it
then for the second one he has 11-1=10 choices
if he has to choose 2 students he has (11*10)/2 ways to do it (we do not count the duplicate - for instance if he chooses Steve and then Nils or Nils and then Steve this is only one group (Steve, Nils) we do not care of the order)
Then for the third student he has 10-1=9 choices
if he has to choose 3 students he has (11*10*9)/(2*3) ways to do it (we do not take into account the order of ppl in the group)
and so on and so forth
...
if he has to choose 6 students he has (11*10*9*8*7*6)/(2*3*4*5)
so he has 2,772 ways
Answer:
C. 462 is correct. I did the test.
Step-by-step explanation:
Three hunters X, Y and Z aim at a bird on top of a tree. Their individual probabilities of killing the bird are 3/5, 2/3 and 5/6 respectively.
Find the probability that
i. Only X and Y kill the bird
ii. Only two of them kill the bird
iii. Only Z kill the bird
iv. Only one of them kill the bird
v. None of them kill the bird
vi. All of them kill the bird
Answers
Answer:
i. Only X and Y kill the bird = 2/5
ii. Only two of them kill the bird= 0.11
iii. Only Z kill the bird= 5/6
iv. Only one of them kill the bird= 1/3
v. None of them kill the bird= 0
vi. All of them kill the bird= 1
Step-by-step explanation:
Probability of x= 3/5
Probability of y = 2/3
Probability of z = 5/6
i. Only X and Y kill the bird
= 3/5 * 2/3
= 2/5
ii. Only two of them kill the bird
=Either x and y or x and z or y and z
= 2/5 or 1/2 or 5/9
= 0.111
iii. Only Z kill the bird
= 5/6
iv. Only one of them kill the bird
= 3/5 or 2/3 or 5/6
= 1/3
v. None of them kill the bird
0
vi. All of them kill the bird
1
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.3 lb.
Required:
a. If a pilot is randomly selected, find the probability that his weight is between 150 lb and 201 lb. The probability is approximately__________.
b. If 39 different pilots are randomly selected, find the probability that their mean weight is between 150 lb and 201 lb. The probability is approximately__________.
c. When redesigning the ejection seat which probability is more relevant
Answers
Answer:
(a) The probability that his weight is between 150 lb and 201 lb is 0.3428.
(b) The probability that the sample mean weight is between 150 lb and 201 lb is 0.011.
(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a).
Step-by-step explanation:
We are given that the seat was designed for pilots weighing between 130 lb and 181 lb.
The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.3 lb.
Let [tex]\bar X[/tex] = sample mean price for a movie in the United States
SO, X ~ Normal([tex]\mu=140,\sigma^{2} =27.3^{2}[/tex])
(a) The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{ X-\mu}{\sigma}} }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean weights = 140 lb
[tex]\sigma[/tex] = standard deviation = 27.3 lb
Now, the probability that his weight is between 150 lb and 201 lb is given by = P(150 lb < X < 201 lb) = P(X < 201 lb) - P(X [tex]\leq[/tex] 150 lb)
P(X < 201 lb) = P( [tex]\frac{ X-\mu}{\sigma}} }[/tex] < [tex]\frac{ 201-140}{27.3}} }[/tex] ) = P(Z < 2.23) = 0.9871
P(X [tex]\leq[/tex] 150 lb) = P( [tex]\frac{ X-\mu}{\sigma}} }[/tex] [tex]\leq[/tex] [tex]\frac{ 150-140}{27.3}} }[/tex] ) = P(Z [tex]\leq[/tex] 0.37) = 0.6443
The above probability is calculated by looking at the value of x = 2.23 and x = 0.37 in the z table which has an area of 0.9871 and 0.6443.
Therefore, P(150 lb < X < 201 lb) = 0.9871 - 0.6443 = 0.3428.
(b) Let [tex]\bar X[/tex] = sample mean weight
The z-score probability distribution for the sample mean is given by;
Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean weight = 140 lb
[tex]\sigma[/tex] = standard deviation = 27.3 lb
n = sample of pilots = 39
Now, the probability that the sample mean weight is between 150 lb and 201 lb is given by = P(150 lb < [tex]\bar X[/tex] < 201 lb) = P([tex]\bar X[/tex] < 201 lb) - P([tex]\bar X[/tex] [tex]\leq[/tex] 150 lb)
P([tex]\bar X[/tex] < 201 lb) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{201-140}{\frac{2.73}\sqrt{39} } }[/tex] ) = P(Z < 13.95) = 0.9999
P([tex]\bar X[/tex] [tex]\leq[/tex] 150 lb) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] [tex]\leq[/tex] [tex]\frac{150-140}{\frac{2.73}\sqrt{39} } }[/tex] ) = P(Z [tex]\leq[/tex] 2.29) = 0.9889
Therefore, P(150 lb < [tex]\bar X[/tex] < 201 lb) = 0.9999 - 0.9889 = 0.011.
(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a) because it is important to look after the safety of each and every pilot not of a particular sample.
A box is 24 inches long, 10 inches wide, and 10 inches deep. About how many cubic feet is the box?
Answers
Answer:
1.3888888 ft^3
Step-by-step explanation:
We need to find the volume
V = l*w*h
V = 24*10*10
V =2400 in^3
We want cubic ft
Divide by 12 for each foot
12*12*12 = 1728 ft^3
2400/1728 =1.3888888 ft^3
Answer:
[tex] = 1.388889 {ft}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 10 \times 24 \times 10 \\ = 2400 {in}^{3} [/tex]
we know that,
[tex]1 \: \: in = 0.833333ft \\ x = 2400 \\ use \: \: cross \: \: \: multipication \\ 2400 = 0.833333x \\ \frac{2400}{0.833333} = \frac{0.833333x}{0.833333} \\ x = 1.388889 {ft}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$ Pls help.
Answers
Answer:
-56/9
Step-by-step explanation:
By Vieta's formulas,
$r + s = -\frac{4}{3}$ and $rs = \frac{12}{3} = 4.$ Squaring the equation $r + s = -\frac{4}{3},$ we get
$r^2 + 2rs + s^2 = \frac{16}{9}.$ Therefore,
$r^2 + s^2 = \frac{16}{9} - 2rs = \frac{16}{9} - 2 \cdot 4 = -\frac{56}{9}}$
The driver of a car traveling at 42 ft/sec suddenly applies the brakes. The position of the car is s equals 42 t minus 3 t squared comma t seconds after the driver applies the brakes. How far does the car go before coming to a stop?
Answers
Answer:
after 7 seconds the driver applied the brakes to stop the car.
Step-by-step explanation:
Given:
The position of the car s(t)=[tex]42t-3t^2[/tex]
∴Speed of the car =[tex]\frac{ds}{dt}=\frac{d(42t-3t^2)}{dt}=42-6t[/tex]
When car stopped the speed of car=0
[tex]\Rightarrow42-6t=0\\\Rightarrow6t=42\\\Rightarrow\ t=7[/tex]
Therefore, after 7 seconds the driver applied the brakes to stop the car.
What is the ratio 16 : 12 in its simplest form?
Answers
Answer:
4 : 3
Step-by-step explanation:
16 : 12 can be simplified by 4 to get 4 : 3
Answer:
[tex]4:3[/tex]
Step-by-step explanation:
[tex]16 : 12[/tex]
The common highest factor of the ratio is 4.
Simplify the ratio.
[tex]16 \div 4:12 \div 4[/tex]
[tex]4:3[/tex]
The concern of a study by Beynnon et al. (A-4) were nine subjects with chronic anterior cruciate ligamenttears. One of the variables of interest was the laxity of the anteroposterior, where higher values indicate more knee instability. The researchers found that among subjects with ACL-deficient knees, the mean laxity value was 17.4mm with a standard deviation of 4.3mm.
(a) What is the estimated standard error of the mean?
(b) Construct the 99 percent confidence interval for the mean of the population from which the nine subjects may be presumed to be a random sample.
(c) What is the precision of the estimate?
(d) What assumptions are necessary for the validity of the conidence interval you constructed?
Answers
Answer:
a) Standard error of the mean = 1.433 mm
b) 99% confidence interval = (12.6, 22.2)
c) The precision of the estimate = 4 816
d) The assumptions that are necessary for the validity of the conidence interval constructed include
- The sample must be a random sample extracted from the population, with each variable in the sample independent from one another.
- The sample must be a normal distribution sample or approximate a normal distribution and the best way to establish this is when the population distribution where the sample was extracted from is normal or approximately normal.
Step-by-step explanation:
a) Standard error of the mean is given as
σₓ = (σ/√n)
σ = Sample standard deviation = 4.3 mm
n = sample size = 9
σₓ = (4.3/√9) = 1.433 mm
b) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
Sample Mean = 17.4 mm
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.
To find the critical value from the t-tables, we first find the degree of freedom and the significance level.
Degree of freedom = df = n - 1 = 9 - 1 = 8.
Significance level for 99% confidence interval
(100% - 99%)/2 = 0.5% = 0.005
t (0.005, 8) = 3.36 (from the t-tables)
Standard error of the mean = 1.433 mm
99% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]
CI = 17.4 ± (3.36 × 1.433)
CI = 17.4 ± 4.816
99% CI = (12.584, 22.216)
One crate orė
99% Confidence interval = (12.584, 22.216)
c) The precision of the estimate is gven as the length of the, margin of error of the confidence interval. The precision of the estimate = 4.816
d) They include
- The sample must be a random sample extracted from the population, with each variable in the sample independent from one another.
- The sample must be a normal distribution sample or approximate a normal distribution and the best way to establish this is when the population distribution where the sample was extracted from is normal or approximately normal.
Hope this Helps!!!
helpp i cant understand this question
Answers
When you find x, you can plug c back into you equation for line segment NE
Knowing what NE is, you also know what ME is because of the circumcenter theorem. When you find ME, you can use the Pythagorean theorem. ME is the hypotenuse, DE is A. Solve for B to find segment MD.
I hope this helps even though I didn’t solve anything. For studying/doing problems you don’t understand, I would recommend thinking about how you would solve the problem first, and then solve the problem. Please give brainliest!
A) estimate the value of 9.9^2 x 1.79 B)estimate the value of V^(square root) 97.5/1.96 Thanks.
Answers
Answer:
Below in bold.
Step-by-step explanation:
A). 9.9^2 is close to 10^2 = 100
Round 1.79 to 1.8
So an estimate is 1.8 * 100
= 180.
B). √97.5 / 1.96
( I am assuming that the square root is of 97.5 only).
is approximately equal to √100 / 2
= 10/2
= 5.
Evelyn pets the box with 1 inch cubes with represents does not show how evelyn can’t find the volume of the box
Answers
Question Correction
Evelyn packed this box with 1 inch cubes. Which expression does not show how Evelyn can find the volume of the box?
(A)6+6+6+6+6+6 (B) 2 X 3 X 6 (C) 2 + 3 + 6 (D) 6 X 6Answer:
(C) 2 + 3 + 6
Step-By-Step Explanation
In the diagram,
Height = 6 Units Length =2 Units Width =3 UnitsVolume = Height X Length X Width
= 6 X 2 X 3
=36 cubic units
Consider the options:
(A)6+6+6+6+6+6 =36 cubic units
(B) 2 X 3 X 6 =36 cubic units
(C) 2 + 3 + 6 = 11 cubic units
(D) 6 X 6 =36 cubic units
Out of the option, that which is not equivalent to 36 cubic units is:
(C) 2+3+6
Therefore, it does not show how Evelyn can find the volume of the box.
Answer:
2+3+6
Step-by-step explanation:
i just did it
As an estimation we are told £3 is €4.
Convert €48 to pounds.
Answers
Answer: £36
Step-by-step explanation:
4 Euros = £3
48 Euros (4x12) = £36 (3x12)
Answer:
£ 36.00
Step-by-step explanation:
£ 3 = € 4
Divide both sides by 4.
£ 3/4 = € 1
1 euro is 3/4 pound.
48 × 3/4 = 36
£ 36 = € 48
48 pounds is 36 euros.
The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between175 and 200 homes are going to be used as investment property
Answers
Answer:
0.9099
Step-by-step explanation:
1) =
=
200
800
= .25
2) Identify = . = .23
3) Find the z-value.
=
−
(1−)
=
.25−.23
.23(1−.23)
800
= 1.34
4) The probability is 0.9099.
Which of the following verified the triangle COW is similar to triangle PIG? Ignore the answer I filled in I didn’t meant to pick that one.
Answers
Answer:
D. SSS theorem
Step-by-step explanation:
The triangles have similarity by 3 sides:
4/12=5/15=7/21So the answer is SSS
How many different ways can the letters of "kissing" be arranged?
Answers
Answer:1260
Step-by-step explanation:
Kissing has 7 letters, and there are 2 paris of the same letter.
[tex]\frac{7!}{2!2!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{4}[/tex]= 1260
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 90% confident that you esimate is within 2.5% of the true population proportion. How large of a sample size is required
Answers
Answer:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84[/tex]
And rounded up we have that n=1076
Step-by-step explanation:
Information given
[tex]ME= 0.025[/tex] represent the desired margin of error
Solution
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by and . And the critical value would be given by:
[tex]t_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64[/tex]
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
We can assume that the best estimate for the true proportion is [tex]\hat p=0.5[/tex]. And on this case we have that [tex]ME =\pm 0.025[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.025}{1.64})^2}=1075.84[/tex]
And rounded up we have that n=1076
Write the rectangular equation (x+5) 2 + y 2 = 25 in polar form.
Answers
Answer:
r = -10*cos(t)
Step-by-step explanation:
To write the rectangular equation in polar form we need to replace x and y by:
[tex]x=r*cos(t)\\y=r*sin(t)[/tex]
Replacing on the original equation, we get:
[tex](x+5)^2+y^2=25\\x^2+10x+25+y^2=25\\(r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25[/tex]
Using the identity [tex]sin^2(t)+cos^2(t)=1[/tex] and solving for r, we get that the polar form of the equation is:
[tex](r*cos(t))^2+10*(r*cos(t))+25+(r*sin(t))^2=25\\r^2cos^2(t)+10rcos(t)+r^2sin^2(t)=0\\r^2cos^2(t)+r^2sin^2(t)=-10rcos(t)\\r^2(cos^2(t)+sin^2(t))=-10rcos(t)\\r^2=-10rcos(t)\\\\r=-10cos(t)[/tex]
Which of the following is NOT a solution to 2x+3y=12? A. (5,-3) B. (9,-2) C. (0,4) D. (6,0)
Answers
Answer:
B
Step-by-step explanation
The Venn diagram below is used for showing odd numbers and prime numbers.
Place the numbers 1, 2, 3, 4 and 5 in the Venn diagram.
Answers
Answer:
See attached
Step-by-step explanation:
Given the numbers 1,2,3,4 and 5
Odd Numbers =1, 3 and 5Prime Numbers = 2, 3 and 5Let O be the event that the number is Odd
Let E be the event that the number is Prime
Then the intersection of Odd and Prime Numbers: [tex]O \cap P =\{3,5\}[/tex]
Since 4 is neither odd nor prime, we place it outside of the two circles.
See the attached diagram for the required Venn diagram.
What is the product of the polynomials below?
(3x2 - 2x - 3)(5x2 + 4x + 5)
Answers
Answer:
15x^4+2x^3-8x^2+2x-15
Step-by-step explanation: