Answer:
2z + 7 = -5
2z=-12
z=-6
hope this helps
have a good day :)
Step-by-step explanation:
cot²3x - 3cot3x +2 = 0
cotx = t
what equation for t
Answer:
Step-by-step explanation:
cot²(3x)=y
y²-3y+2=0
y²-y-2y+2=0
y(y-1)-2(y-1)=0
(y-1)(y-2)=0
y=1,y=2
cot3x=1
tan 3x=1=tan (π/4)=tan (nπ+π/4)
3x=nπ+π/4=(4nπ+π)/4=(4n+1)π/4
x=(4nπ+1)π/12,n is an integer.
cot 3x=2
tan 3x=1/2
3x=tan^{-1}(1/2)≈26.57°+360n
x≈8.86°+120n
Ali can serve 6 customers every 15 minutes, while Alyssa can serve 5 customers in 12 minutes.Who can serve more customers in one hour?
Answer:
Ali serves 24 customers an hour
Alyssa severs 60 customer an hour
Alyssa severs more customers in one hour
Step-by-step explanation:
For the acute angles in a right triangle,
sin(5x)° = cos(3x + 10)°. What is the number of degrees in the measure of the smaller angle?
Answer:
answer for this solution is 10 degrees
Step-by-step explanation:
sin x + cos x = 90
5x + 3x +10 = 90
x = 10
EASY GEOMETRY PLS HELP!!!! AREA IF parallelogram
Answer
80 m^2
Step-by-step explanation:
basically 10 x 8 plus the value
Determine if they are inverses of each other
Answer:
yes
Step-by-step explanation:
f(x) = y = 4 - 7x/4
7x/4 + y = 4
7x/4 = 4 - y
7x = 4(4-y)
x = 4(4-y)/7 = 16/7 - 4y/7
renaming to regular function convention (with x as input variable and y as function result) :
inverse function f(x) = y = -4x/7 + 16/7 = g(x)
so, yes, they are inverses of each other.
find the composition of transformations that map pqr to p'q'r translate, somebody help!?
Answer:
Translate 2 unit(s) to the right and then reflect over the x-axis
Step-by-step explanation:
You have to move the coordinates of P, Q, and R to the right by 2 so just add 2 to the x coordinate in order to to the first part of the transformation.
After that flip it so that y coordinate of the points are negative to the position they were after translating to the right.
After translating two units to the right, reflect over the x-axis.
What is translation in mathematics?A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) →(x + 5, y + 3).
Given
Simply add 2 to the x coordinate to complete the first phase of the transformation since you must move the coordinates of P, Q, and R to the right by 2.
Then reverse it so that the points' y coordinates are opposite to where they were before being translated to the right.
To learn more about translation refer to:
https://brainly.com/question/1046778
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What is the answer. Do anything begging for help
Answer:what’s the question?
Step-by-step explanation:
Find the circumference of the circles below. Round your answer to the nearest whole number. Use 3.14 for Pi.
Answer:
[tex]\huge\boxed{1.\ C\approx38cm;\ 2.\ C\approx57ft;\ 3.\ C\approx50in.}[/tex]
Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r\\\\r-\text{radius}[/tex]
[tex]1.\\r=6cm\\\\C=2\pi\cdot6=12\pi\\\\\pi\approx3.14\\\\C\approx12\cdot3.14=37.68\approx38(cm)\\\\2.\\r=9ft\\\\C=2\pi\cdot9=18\pi\\\\\pi\approx3.14\\\\C\approx18\cdot3.14=56.52\approx57(ft)\\\\3.\\2r=16in.\to r=8in.\\\\C=2\pi\cdot8=16\pi\\\\\pi\approx3.14\\\\C\approx16\cdot3.14=50.24\approx50(in.)[/tex]
The area of a rectangle is represented by the polynomial 3x3+14x2-23x+6. The width of the rectangle is represented by the expression x+6. Find the expression that represents the length of the rectangle.
Answer:
[tex]l=3x^2-4x+1[/tex]
Step-by-step explanation:
Given that,
The area of a rectangle is, [tex]A=3x^3+14x^2-23x+6[/tex]
The width of the rectangle, b = (x+6)
We need to find the expression for the length of the rectangle. We know that, the area of a rectangle is given by :
A = lb
Where
l is the length of the rectangle
Put all the values,
[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^3+14x^2-23x+6}{(x+6)}\\\\l=\dfrac{(x-1)(x+6)(3x-1)}{(x+6)}\\\\l=(x-1)(3x-1)\\\\=3x^2-4x+1[/tex]
So, the length of the rectangle is equal to [tex]3x^2-4x+1[/tex].
What is the sum of the exterior angle measures for a regular hexagon?
Answer:
Answer is 360
to find each of the angles take 360 ÷ by the number of sides , in this case is 360 ÷ 6 = 60
Answer:
Option D is correct
Step-by-step explanation:
Sum of exterior angle measures for a regular hexagon = 360°
Hope it is helpful...Please help me with this word problems no files just type it in
Answer:
40 Dollars!
Step-by-step explanation:
$8 x 5 people = 40!
In a survey of 2,500 people who owned a certain type of car,1,625 said they would buy that type of car 1,625again. What percent of the people surveyed were satisfied with the car?
Answer:
to do this we have to find what percent of 2500 1625 is so we have to divide 1625 by 2500
which is 0.65 which when then multiply by 100 to get
65%
Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition
Answer:
(a) Set of rational numbers
(b) [tex]\pi + (-\pi) = 0[/tex]
Step-by-step explanation:
Solving (a): Set that is closed under subtraction
The solution to this is rational numbers.
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
The above is only true for rational numbers.
e.g.
[tex]1 - 2 = -1[/tex]
[tex]5 - 5 = 0[/tex]
[tex]\frac{1}{2} - \frac{1}{4} = \frac{1}{2}[/tex]
[tex]4 - 2 = 2[/tex]
The operations and the result in the above samples are rational numbers.
Solving (b): Choice not close under addition[See attachment for options]
As stated in (a)
For a set of number to be closed under subtraction, the following condition must be true
[tex]a -b = c[/tex]
Where
a, b, c are of the same set.
In the given options (a) to (d), only
[tex]\pi + (-\pi) = 0[/tex] is not close under addition because:
[tex]\pi[/tex] is irrational while [tex]0[/tex] is rational
In other words, they belong to different set
Item 8 You choose two different movies on a list at random. Out of 15 movies on the list, 9 are action movies. The first movie you choose is an action movie. What is the probability that the second movie is also an action movie? Write your answer as a fraction in simplest form.
Answer:
4/7
Step-by-step explanation:
Pr = Expected outcome/Total outcome
Since Total movies = 15
Total outcome = 15
If there are 9 actions movies
Pr(selecting the first action movie) = 9/15
Since the total remaining movies will be 14 (no replacement)
If the second movie is taken, Pr(second action movie) = 8/14 = 4/7
A question about the sequence.
Recall that the product (a + b)(a - b) is the
difference of squares, a2 - b2
Examine this same product for radical
expressions. Choose the product of (3+ square root of 7)(3- square root of 7)
Answer:
The third option (9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex])
Step-by-step explanation:
With FOIL, this can be expanded. (a+b)(a-b) is equal to a²+ab-ab-b² or a²-b².
In this case, all the answers have 4 terms, so we want the first option. This makes the equation 3²+(3×[tex]\sqrt{7}[/tex])-(3×[tex]\sqrt{7}[/tex])-([tex]\sqrt{7}[/tex])².
Solving these gives 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-7. This is the same as 9+[tex]3\sqrt{7}[/tex]-[tex]3\sqrt{7}[/tex]-[tex]\sqrt{49}[/tex].
**This content involves multiplying with surds and expanding perfect squares, which you may wish to revise. I'm always happy to help!
The equivalent expression is (c) [tex]9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
The difference of squares equation is given as:
[tex](a + b)(a - b) = a^2 -b^2[/tex]
And the radical expression is given as:
[tex] (3+ \sqrt 7)(3- \sqrt7)[/tex]
By comparing the above expression to [tex](a + b)(a - b) = a^2 -b^2[/tex], we have:
[tex]a =3[/tex]
[tex]b = \sqrt 7[/tex]
Substitute these values in [tex](a + b)(a - b) = a^2 -b^2[/tex]
[tex] (3+ \sqrt 7)(3- \sqrt7) = 3^2 - (\sqrt 7)^2[/tex]
This gives
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - \sqrt {49}[/tex]
By complete expansion, we have:
[tex] (3+ \sqrt 7)(3- \sqrt7) = 9 - 3\sqrt 7 + 3\sqrt 7 - \sqrt {49}[/tex]
Hence, the equivalent expression is (c)
Read more about difference of two squares at:
https://brainly.com/question/3189867
Directions: Factor, write prime if prime
Q: 12x^2-9x+15
Someone help and QUICK!!!
Answer:
2x^2-9x+15
It is prime/unfactorable
Step-by-step explanation:
Please helpppp for tan need help quick
Answer:
8/15Step-by-step explanation:
according to the Pythagoras theorem ,
SohCahToa
Soh - sine is opposite , hypotenuse
Cah -cos is adjacent , hypotenuse
Toa - tan is opposite, adjacent
from the diagram above , the tan is 8/15.
Hope this is helpful ,
have a nice day :-)
If the sum of three consecutive integers is 36 what is the smallest integer?
Answer:
The smallest integer is 11.
Step-by-step explanation:
Let the first integer be x.
Then the second will be (x + 1) and the third will be (x + 2).
The sum is 36. Hence:
[tex]x+(x+1)+(x+2)=36[/tex]
Solve for x:
[tex]3x+3=36[/tex]
So:
[tex]3x=33[/tex]
Hence:
[tex]x=11[/tex]
Our sequence is 11, 12, 13.
So, the smallest integer is 11.
If p(x) = x^3 + 3x^2 - 2x + 4, then find the value of
p(2) + P(-2) - (0)
Answer:
the answers is =-0
Step-by-step explanation:
is -0
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 436 gram setting. It is believed that the machine is underfilling the bags. A 28 bag sample had a mean of 433 grams with a standard deviation of 23. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
There is no sufficient evidence
Step-by-step explanation:
The hypothesis :
H0 : μ = 436
H1 : μ < 436
Xbar = 433
s = 23
Sample size, n = 28
The test statistic :
(xbar - μ) ÷ (s/√(n))
(433 - 436) ÷ (23/√(28))
-3 ÷ 4.3465914
Test statistic = - 0.690
The Pvalue, calculated from test statistic value, df = n - 1 = 28 - 1 = 27
Pvalue = 0.248
Pvalue > α ; Hence, we fail to reject the null and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
Use an algebraic approach to solve the problem.
Abby has 37 coins, consisting only of dimes and quarters, worth $5.65. How many dimes and how many quarters does she have?
Answer:
13 quarters and 24 dimes
Step-by-step explanation:
13*.25=3.25
24*.1=2.4
3.25+2.4=5.65
Please Help Me To Solve For X
Answer:
u & v = 8
Step-by-step explanation:
This triangle is a special 45-45-90 triangle!
In a 45-45-90 triangle, to solve for the hypotenuse use the formula
[tex]h=(sidelength)*\sqrt{2}[/tex]
Here we see that 8 is being multiplied by radical 2!
We can prove that 8 is the side length by using the Pythagorean Theorem!
Factorise p2 - q2
I need help finding the answer please
p²-q²
p²-q²= (p+q)(p-q)
[by formula: (A+B)(A-B) = A²-B²]
Proof of the formula
Proof of the formula (A+B) • (A-B)
Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2
Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2
Proof of the formula (A+B) • (A-B) = A2 - AB + BA - B2 = A2 - AB + AB - B2 = A2 - B2
Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
13
3
Answer:
What grade math is this??
Step-by-step explanation:
Answer:92.1
Step-by-step explanation:
A=78+4.5
A=92.137166941154
A=92.1
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Answer:
355
Step-by-step explanation:
185+140= 325
325+20= 355
Answer:
30/185×100=
Step-by-step explanation:
30/140×100=
ASAP work pls answer
4(x+3) +m(x+3)
Please factorize
Answer:
4x+12+mx+3m
You use the FOIL method.
Answer:
(4+m)(x+3)
Step-by-step explanation:
x+3 is a common factor, so you can convert this to put the other 2 parts in a bracket. This results in (4+m)(x+3).
An example of how this works is if you made m=1 and x=2. This would make the original expression 4(2+3)+1(2+3), or 4×5+1×5, which is 5×5 or 25. (1+4)(2+3) also equals to 5×5.
**You may want to revise factorising algebraic equations. I'm always happy to help!
how many sides does a 1,260 degree polygon have?
48. Determine whether the given measurements determine 0, 1, or 2
possible triangles.
a=19.3, c= 21.9, C = 39.4°
Answer:39.9
Step-by-step explanation:
