Answer:
5
Step-by-step explanation:
it is 5
If θ is an angle in standard position and its terminal side passes through the point (-7,-5), find the exact value of cot θ cotθ in simplest radical form.
Plot the point (-7, -5). We are in quadrant 3.
We also know that tan θ = opp/adj.
Cot θ = adj/opp.
Let us use a^2 + b^2 = r^2 to show you how to find r, the radius aka hypotenuse.
Look: (-7)^2 + (-5)^2 = r^2
If you should ever need to find r, do this:
(-7)^2 + (-5)^2 = r^2
(49) + 25) = r^2
74 = r^2
Take the square root on both sides of the equation to find r.
sqrt{74} = sqrt{r^2}
sqrt{74} = r
It is ok to simplify the sqrt{74} but not needed.
We now have the three sides of the triangle that is form in quadrant 3.
We can now read cot θ from the triangle itself.
So, cot θ = adj/opp = (-7)/(-5) or 7/5.
No need to find r but I simply wanted to show you how it's done in case you are given a question where r must be found.
Find the area of the region bounded by the graphs of f(x)= x^3 + x^2 -6x and
g(x) = 2x - x^2.
A. (20/3)
B. 36
C.(148/3)
D. (256/3)
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Can someone plz help me
Answer:
X=37.6 because the 90 degree angle plus the 52.4 equals 142.4 the subtract that from 180 then ta da.
The piecewise defined function f(x) is graphed below. What is the value of f(2)?
The piecewise defined function f(x) is graphed below. What is the value of f(2)?
f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined
Mark this and return
Answer:
the answer is f(2)= - 1
Step-by-step explanation:
i took the test i failed it but i get that right.
Answer:
f(2) = -1
Step-by-step explanation:
took the test
please help ASAP will give brainleast to correct answer plus thank you!
Answer:
B
Step-by-step explanation:
Answer:
B. 0.8(9+w)
Step-by-step explanation:
By combining like terms you will get an equation of 7.2 + 0.8w. I noticed this could be simplified further by grouping and got answer B.
3x + 12 = -3 What is the value of X
Answer:
x = -5
Step-by-step explanation:
i took algebra a couple years ago :)
Answer:
x=-5
Step-by-step explanation:
3x+12= -3
-12 -12
(subtract 12 from both sides because you want the variable by itself)
3x= -15
(divide by 3 so you can get x completely by itself)
x= -5 (final answer)
Pamela is 10 years older than Jiri. The sum of their ages is 54. What is Jiri's age?
Answer:
22
Step-by-step explanation:
Matteo is working two jobs, making $15 per hour at the movie theater and $18 per hour washing cars. Last week Matteo worked a total of 30 hours and earned a total of $480. Determine the amount of hours Matteo worked at the movie theater and the cash wash.
Answer:
movie theatre = 20 hours
car wash = 10 hours
Step-by-step explanation:
this would be solved using simultaneous equation
let a = hours worked in theatre
b = hours spent wash cars
15a + 18b = 480 eqn 1
a + b = 30 eqn 2
multiply eqn 2 by 15
15a + 15b = 450 eqn 3
subtract 1 from 3
3b = 30
b = 10 hours
substitute for b in eqn 2
a + 10 = 30
a = 20 hours
A circular plate has circumference 33.3 inches. What is the area of this plate? PLZ HELP
Answer:
870.48
Step-by-step explanation:
Answer:
870.92
Step-by-step explanation:
Two baseball teams meet in a playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home stadium. The first two games of the series will be played in Team A's home stadium, the next two games in Team B's home stadium. In the absence of any other information, which expression is equal to the probability that Team A will win the first four games in a row?
Answer:
Assuming the statistics are independent of the visiting team, then probability of team A winning in home turf is P(A)=55/81, and winning as a visitor of team B is P(B)=(81-48)/81=33/81.
So winning all four games,
P = P(A)*P(A)*P(B)*P(B)
2.
Total volume = 9³ cm³ = 729 cm³.
Side of each of 3 new cubes
= cube root of (729 cm³ /3) cm
= cube root of (243) cm.
3.
Total number of ways to pick 4 balls out of 9
= C(9,4) = 9!/(4!5!)=126
Total number of ways to pick 4 blue balls = C(4,4) = 1
total number of ways to pick 4 red balls
= C(5,4) = 5
Number of ways of not choosing 4 red nor 4 blue = (126 - 1 - 5) = 120
Probability of not choosing 4 balls of the same colour is therefore ...?
Is (2,21) a solution for y=7x? No Yes
Answer:
No
Step-by-step explanation:
y=7x
21=7(2)
21=14
It is not since the values are not equal.
Brainliest? :o
No, the pair of coordinates (2,21) is not a solution for the equation; y=7x
Solution of an equationAccording to the question;
The pair of coordinates given is (2,21).Hence, by testing the coordinates in the equation; y=7x, we have;
21 = 7(2)21 = 14.Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.
Read more on solution of an equation;
https://brainly.com/question/1397278
Marking brainliest.
Answer:
B. 173.25 cm^2
Step-by-step explanation:
just multiply them all.
Factor completely 2x^3 + 6x^2 + 10x + 30
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factorsLet's apply these steps to the given equation.
Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
List GCFs: 2x², 10Create a term: (2x² + 10)Finally, we'll need to simplify this one by taking another GCF, 2.
Pull GCF: 2(x² + 5)Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
Stacy started with 40 dollars in a savings account that earns 5% annually. How much interest will she get in one year
Answer:
2 dollars
Step-by-step explanation:
5% interest is 1.05
1.05 times 40 equals 42
42-40 equal 2
So 2 dollars
please tell me which ones to select! I can select more than one. Thank you!!!
Answer: B, D, E
Step-by-step explanation:
Substitute x in each expression, solve, and see if it is equivalent to 3/4. See answer above. Hope this was helpful! :)
A local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. Last year, the school board determined that 65% of households supported starting school earlier. They ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. Which hypotheses would determine if the proportion of households that support starting school earlier has changed this year?
Group of answer choices
H 0: p not-equals 0.70, H alpha: p = 0.70
H 0: p = 0.70, H alpha: p not-equals 0.70
H 0: p = 0.65, H alpha: p greater-than 0.65
H 0: p = 0.65, H alpha: p not-equals 0.65
Answer:
C
Step-by-step explanation:
Considering the situation, the hypotheses set that would determine if the proportion of households that support starting school earlier has changed this year is given by:
[tex]H_0: p = 0.65, H_\alpha: p \neq 0.65[/tex]
What are the hypotheses tested?At the null hypotheses, it is tested if there has been no change, that is, the proportion is still of 0.65 = 65%, hence:
[tex]H_0: p = 0.65[/tex]
At the alternative hypotheses, it is tested if there has been a change, that is, the proportion is not of 0.65 = 65% anymore, hence:
[tex]H_\alpha: p \neq 0.65[/tex]
More can be learned about an hypotheses test at https://brainly.com/question/26454209
Find the value of x in the triangle shown below.
56°
31
x
A motorcycle raced around a track at a speed of 110 miles per hour.
If the motorcycle raced for 0.5 hours, how many miles did it travel?
How to Subtract this and put in Standard form?
Answer:
-12a2 + 9a - 5
Step-by-step explanation:
the 2 should be small
At the local farmers market, it costs $10 to rent a stand and $7 for every hour you stay. If you pay a total of $38, how many hours did you stay at the farmers market? *
Answer:
Hello! your answer would be, 4 HOURS
Step-by-step explanation:
38 - 10 = 28
28 / 7 = 4
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
Please help
Nday(t)=300⋅(1.2)t
Complete the following sentence about the weekly rate of change in the locust population.
Round your answer to two decimal places.
Every week, the number of locusts grows by a factor of ______
Answer:
3.58
Step-by-step explanation:
You mix 1/2 cup of red paint for every 1/4 cup of blue paint to make 12 cups of
purple paint. How much red paint and
blue paint do you use?
Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.
Answer:
I think we are missing part of the question.
But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.
On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3
Find the area of the figure shown below and type your result in the empty box.
Answer:
did u forget to add the actual question
Step-by-step explanation:
Find the volume of the sphere. Round your answer to the nearest tenth.
Radius = 18
Answer:
V≈24429.02
Explanation:
V= [tex]\frac{4}{3}[/tex] π r³
Calculate the size of the exterior angles of a regular polygon which has interior angles of:175⁰
Answer: 5
Step-by-step explanation: 180-175=5
What is the range of the graph and please answer fast
multiple choice, need help with this ASAP; I'll give BRANIEST to whoever gets it right and no links
Answer:
so it should be a,c,e, and b
Step-by-step explanation:
49s square root is 7 and 7 is an integer so check.
7 is a whole number check
7 is rational check
and 7 is a real number check.
Given that (-6,-6) is on the graph of f(x), find the corresponding point for the function f(2x).
Answer: (-3,-6)
Step-by-step explanation: