There are 4 significant figures in 20340.
Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.
[tex]\sqrt5[/tex]Answer:
Sin^2 x + Cos^2 x = 1
Sin^2 x = 1 - 4 / 9 = 5 / 9
Sin x = [tex]\sqrt5[/tex] / 3
Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex] / 3) / (2 / 3) = [tex]\sqrt5[/tex] / 2
In a geometric series
If a1=6 and r=5 find s9
Answer:
I have no idea how to solve that but can you teach me how !
AM = 5x - 2 and MB = 2x + 19, Find the length of AB
Answer:
The answer would be: -0.01
Step-by-step explanation:
1) State what is given
AM = 5x -2 and MB = 2x +19
2) Make an equation that can satisfy the problem
AM + BM = AB
This is the equation, because if I am to put this on a line,
A M B
-_____________-_____________-
You can see that is you combine the lengths AM and BM you can find the total length of AB.
A M + M B
-_____________- + -_____________-
(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)
3) Substitute
(5x - 2) + (2x + 19) = AB
4) Now Solve!
5x - 2 + 2x + 19 = AB
(Rearrange to combine like terms)
5x + 2x + 19 - 2 = AB
7x + 17 = AB
(That is your equation to find AB! But they want the specific length)
So...
We solve it!
7x = -17
(By moving the 17 to the other side of the = sign, it becomes negative)
7x = -17
7 7
(Dividing both sides by 7 in order to get x alone)
x = -2.43
(I rounded to the hundredths place)
Now substitute that into x into you original equation)
5(-2.43) - 2 + 2(-2.43) + 19 = AB
-12.15 - 2 - 4.86 + 19 = AB
-14.15 - 4.86 + 19
-19.01 + 19 = -0.01
= -0.01
(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)
(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)
how many times does 143 go into 158
1 time
I am not really sure
hope this helps
Answer:
0nce
Step-by-step explanation:
Simplify the following expressions ?
-9x+9x^2+8x^2+4x
Answer:
-5x+17x^2
Step-by-step explanation:
Hope that helps good luck
9514 1404 393
Answer:
17x^2 -5x
Step-by-step explanation:
"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.
-9x+9x^2+8x^2+4x
= 9x^2 +8x^2 -9x +4x
= x^2(9+8) +x(-9+4)
= 17x^2 -5x
What is the solution to the system of equations graphed below
Y=2x-7 y=-x-1
The value of the common solution to the system of equation is (2,-3).
What is System of Equation?The system of equation is set of equations which have a common solution.
The figure shows the graph of two equations, these equations are a straight line function and the common solution is represented by a point in the image.
The solution of the system of equation can be obtained both by solving using substitution method and even by plotting the graph and finding the intersection point.
The system of equation is,
y = 2x - 7
y = -x -1
The value of y from equation 2 will be substituted in equation 1
-x -1 = 2x -7
3x = 6
x = 2
Substituting this value in equation 2
y = -2 -1
y = -3
The value of (x,y) is (2,-3)
The graph is plotted and the intersection of the line is at (2,-3)
To know more about System of Equations
https://brainly.com/question/12895249
#SPJ5
Answer:
The answer is (2,-3)
Step-by-step explanation:
Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options. There are three unique solutions to the function when y=0. The function has a double root. As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again. As x approaches negative infinity, y approaches positive infinity. The domain and range of the function are the set of real numbers.
Answer:
The function is:
f(x) = x^3 - 4*x^2 - 3*x + 18.
Below, you can see the graph of the function.
The statements that are true are:
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
You can see this in the graph and may be really hard to see it without the graph, the easier way would be to see the derivate of f(x) and see that is first positive, then negative, and then positive.
f'(x) = 3*x^2 - 8*x - 3
As the leading coefficient is positive, the arms oppen up, and f'(0) = -3
Then is easy to see that from left to right, is positive, then negative, and then positive again.
The domain and range of the function are the set of real numbers.
For the domain, we do not have any denominator nor weird function that has problems in a particular value, so the domain is the set of all real numbers.
And as you can see, as the leading coefficient is an odd power of x, the range will go from minus infinity to infinity (you can also see it in the graph).
The function has a double root.
Yes, in the graph you can see two roots, but this is a 3rd-degree polynomial, so it must have 3 roots, this means that one of the roots in the graph is a double root. (Where the double root is at x = 3, as you can see in the graph)
Answer:
B), C), and E)
Step-by-step explanation:
Edge 2021
What is the value of 10 ^4
Answer:
10000
Step-by-step explanation:
10*10=100
10*10=100
100*100=10000
Answer:
Step-by-step explanation:
[tex]10^{4}[/tex]
=> 10, 4 times
=> 10 * 10 * 10 * 10
=> 10000
=>10,000
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
A diver descends at a steady rate of 2.54 meters every hour. Yesterday, he dove to a depth of 18 meters. Which expression can you use to find how many hours he dove?
Answer:The answer is C OR –18 ÷ –2.54
Step-by-step explanation:
i got the question right
If the surface area of a cylinder is 800 in^2 and the height is 15 in, what is the base?
Answer:
base = diameter
Step-by-step explanation:
if the surface area of the cylinder is 800...
the height is 15... then the formula must be 3.14 x 15 x R2
r squared is supposed to be the square of the radius of the cylinder\
conclusion: 3.14 x 15 x R2 is 800_
so.multiply then..find the radius and add the answer you get to find the diameter ..mina put 1205 pokemon cards into a notebook with 15 cards per page. how many sheets can she fill? how many cards left over
Answer:
she filled 80 pages with 5 left over
Step-by-step explanation:
14. Mr. Feo is paid biweekly. His annual salary is $74,153. What is his biweekly salary, rounded to the
I
nearest cent?
Answer:
1426.00
Step-by-step explanation:
Respuesta de la expresión 5 + {4 * 6÷3+1+ [3-(4-8) + (3-2)] }
Answer:
Vota Trump
Step-by-step explanation:
A bicyclist at White’s 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?
Answer:
280 minutes.
Step-by-step explanation:
112/14=8
8*35=280
records shows that 3 out of 4 families move about every 6 years. what is the percentage of families that move every 6 years?
75%.
3 out of 4 means 3/4
And if you divide 3/4 the answer is .75
So multiply by 100( because to convert decimal to percent you have to multiply by 100, or move the decimal place two places to the right) and you get 75
Slap a percent sign on there and you have 75%
Jodi bought 4 identical bags of potato chips and one bottle of water. The bottle of water costs $1.25, and her entire order costs $10.41. Write an equation you can use to find out the cost of each bag of potato chips.
Answer:
10.41 - 1.25 = x
x / 4 = answer
(the answer is $2.29 per chip bag)
Step-by-step explanation:
;3
Erica babysits for 4 ½ hours and is paid $27. How much does she make for 8 hours?
Answer: $216
Step-by-step explanation:
Hope it helped
Can any body answer me what ia 2+2
4
four
This is the answer.
Thanks for free points.
Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?
Answer:
2.5 miles
Step-by-step explanation:
We know that: time = distance/speed
Now, if the distance of the school from Jonathan's home is y.
At speed of 15 mph, Jonathans time is; time = y/15 hours
At 25 mph, his mother's time was;
time = y/25 hours
We are told that Jonathan was 1 mile from home when he saw his mother.
Thus means that difference in time is;
Time difference = 1/15 hours
Thus;
y/15 hours - y/25 hours = 1/15 hours
Multiply through by 75 to get;
5y - 3y = 5
2y = 5
y = 5/2
y = 2.5 miles
If a town with a population of 5,000 doubles in size every 60 years, what will the population be 120 years from now?
Answer:
The population in 120 years will be 15,000.
Step-by-step explanation:
5,000 --> Now
10,000 --> In 60 years
15,000 --> In 120 years
You're welcome!
Answer:
The towns population in 120 years would be 10,000
Step-by-step explanation:
120÷60=2
5,000 x 2 = 10,000
Complete the square for the following expression
and write the resulting expression as a binomial squared.
x² + 8x +_____=(_____)^2
Answer:
16, x+4^2
Step-by-step explanation:
To find the perfect square with an A factor of 1, just double the next number.
7th grade math help me plzz
Answer:
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
Step-by-step explanation:
hope this helps
Which equation represents a linear function?
Answer:
Y=2x-6
Step-by-step explanation:
Linear equation in two variables represents a line.
3.
Find the value of X 11x-2 19x+3 9x+1 PLEASE LOOK AT PICTURE
Answer:
x=4
Step-by-step explanation:
1) first write it down --> 11x-2+9x+1=19x+3
2) then combine like terms on the left side of the equation. --> 20x-1=19x+3
3) Then subract 19x on both sides --> x-1=3
4) After add 1 to both sides --> x=4
A car dealership needs to transport 58 cars to a new lot. If the transport truck can haul 6 cars at a time, how many trips will the transport truck need to make?
Answer:
10
Step-by-step explanation:
We need to find how many trips it will take to transport 58 cars
The explanation is simple:
58 / 6 = 9.6 repeating
So we round that quotient up to 10.
So the transport truck will need to take 10 trips to transport all 58 cars.
2. The set of whole number from 1 to 20
Set C = all the even numbers
Set D = all the multiples of 4
Answer:
c:2,4,6,8,10,12,14,16,18,20
Step-by-step explanation:
set d:4,8,13,15,20
It is generally claimed that the average body temperature for healthy human adults is 98.6°F. To test this claim a simple random sample of 9 adults are chosen. The average temperature of the 9 adults is only 98.1°F with a SD of 0.9°F. The question is whether the data on these 9 people is sufficient evidence to conclude that average body temperature among all healthy adults is really lower than 98.6°F. Assume the average body temperatures follow the normal curve.
1. Which significance test should be used?
a. z-test because the 50 of the population is known.
b. t-test because the SD of the population is known.
c. neither since it is untkely that temperatures would follow the nermal curve.
d. a t-test because the 50 of the sample is unknown.
e. a t-test because the SD of the pepulation is unknown.
Since the sample size is small and temperatures are lkely to be normaly distributed ether test may be used.
2. What is the null hypothesis?
A. That the average temperature in the population is 98.1 F.
B. That the average temperature in the pepulation is 98.6.
C. That the average temperature in the population is less than 98.6 F.
D. That the average temperature in the sample is 98.1.
3. What is the abernative hypothesis?
A. That the average temperature in the pepulation is 98.1 F.
B. That the average temperature in the population is 98.6F.
C. That the average temperature in the population is less than 98.6.
D. That the average temperabure in the sample is 98.17.
4. Compute SD.
5. Compute the best statistic.
6. How many degrees of freedom are there?
Answer:
Explained below.
Step-by-step explanation:
The information provided is as follows:
[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]
(1)
A single mean test is to be performed in this case.
As the population standard deviation is not provided, a one-sample t-test will be used.
The correct option is b.
(2)
The null hypothesis is:
H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.
The correct option is b.
(3)
The alternative hypothesis is:
Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.
The correct option is c.
(4)
The standard deviation of the sample mean is as follows:
[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]
Thus, the value of SD is 0.3°F.
(5)
Compute the value of test statistic as follows:
[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]
[tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]
Thus, the value of test statistic is -1.67.
(6)
The degrees of freedom of the test are:
df = n - 1
= 9 - 1
= 8
Thus, the degrees of freedom of the test is 8.
Testing the hypothesis, it is found that:
1. e. a t-test because the SD of the population is unknown.
2. B. That the average temperature in the population is 98.6.
3. C. That the average temperature in the population is less than 98.6.
4. The standard error is of 0.3.
5. The test statistic is t = -1.67
6. There are 8 df.
We have the standard deviation for the sample, hence, a t-test should be used.
At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.
At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.
In this problem:
The standard deviation of the sample is [tex]s = 0.9[/tex]The sample has 9 adults, hence [tex]n = 9[/tex]The sample mean is of [tex]\overline{x} = 98.1[/tex]The standard error is of:
[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]
[tex]t = -1.67[/tex]
The amount of degrees of freedom is one less than the sample size, hence there are 8 df.
A similar problem is given at https://brainly.com/question/13873630
Bonnie bought a 13-pound turkey for $11.05. How much money di she pay for each pound of turkey?
Answer:
1.18
Step-by-step explanation:
13/11.05=1.176
it rounds to $1.18
Im sorry if its wrong
Unit Post Test
Suomi Test
Reader TOOLS
2
-6
- 2
-2
4
6
The function g> is a transformation of AX). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
OA. 80%) = 1x) - 2
B. gx) = Rx+ 2)
OC. 8) = px - 5)
OD. 81%) = Rx) - 5
Reset
Next
Answer:
r
Step-by-step explanation:
What are the values of x, y, and z in this system of equations?
2x+4y+z=1
x-2y-3z=2
x+y-z=-1
Answer:
{x,y,z}={5,−3,3}
Step-by-step explanation:
[1] 2x + 4y + z = 1
[2] x - 2y - 3z = 2
[3] x + y - z = -1
// Solve equation [3] for the variable y
[3] y = -x + z - 1
// Plug this in for variable y in equation [1]
[1] 2x + 4•(-x +z -1) + z = 1
[1] -2x + 5z = 5
// Plug this in for variable y in equation [2]
[2] x - 2•(-x +z -1) - 3z = 2
[2] 3x - 5z = 0
// Solve equation [2] for the variable x
[2] 3x = 5z
[2] x = 5z/3
// Plug this in for variable x in equation [1]
[1] -2•(5z/3) + 5z = 5
[1] 5z/3 = 5
[1] 5z = 15
// Solve equation [1] for the variable z
[1] 5z = 15
[1] z = 3
// By now we know this much :
x = 5z/3
y = -x+z-1
z = 3
// Use the z value to solve for x
x = (5/3)(3) = 5
// Use the x and z values to solve for y
y = -(5)+(3)-1 = -3
Solution :
{x,y,z} = {5,-3,3}