Answer:
c = 5
Step-by-step explanation:
c/6 - 4/9 = 7/18
Make denominators equal.
3c/18 - 8/18 = 7/18
Cancel denominators since they are equal.
3c - 8 = 7
Add 8 to both sides.
3c = 7 + 8
3c = 15
Divide 3 into both sides.
c = 15/3
c = 5
Solve the equation :
[tex] \cos(x) - \sin(x) = \sqrt{2 } \: cos(3x)[/tex]
Answer:
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
Step-by-step explanation:
Step(i):-
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) [tex]cos \frac{\pi }{4} = \frac{1}{\sqrt{2} }[/tex]
Step(ii):-
[tex]\frac{1}{\sqrt{2} } cos (x) - \frac{1}{\sqrt{2} } sin (x) = \frac{\sqrt{2} cos (3 x)}{\sqrt{2} }[/tex]
[tex]cos (\frac{\pi }{4} ) cos x - sin(\frac{\pi }{4} ) sin x = cos 3x[/tex]
[tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
Step(iii):-
General solution of cos x = cos ∝ is x = 2 nπ+∝
we have [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex]
The general solution of [tex]cos (\frac{\pi }{4}+x ) = cos 3 x[/tex] is
⇒ [tex]3 x = 2 n \pi + (\frac{\pi }{4}+x )[/tex]
⇒ [tex]3 x- x = 2 n \pi + \frac{\pi }{4}[/tex]
[tex]2x = 2 n \pi + \frac{\pi }{4}[/tex]
final answer:-
General solution is
[tex]x = n \pi + \frac{\pi }{8}[/tex]
What is the measure of angle C?
A. 147°
B. 114
c. 33
D. 66
Answer:
B. 114 deg
Step-by-step explanation:
Since sides AC and BC are congruent, then angles A and B are congruent.
m<A + m<B + m<C = 180
33 + 33 + m<C = 180
m<C + 66 = 180
m<C = 114
KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305
Answer:
305
Step-by-step explanation:
52 customers per day * 5 days per week
260 currently
Now add the 9 per day to find you new goal
52+9 = 61 per day
61 *5 = 30
305 per week is your goal
a basket holds 26 cards, and each card has a letter of the alphabet on it. each time a card is drawn, it is returned to the basket before the next card is drawn. what is the probability of selecting a constant on the first draw, a vowel (a,e, i,o or u) on the second draw, and then another constant on the third (and last) draw? a 7/52 b 525/4394 c 2205/17576 c 147/1040
Answer:
2205/17576
Step-by-step explanation:
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
Return the card
26 cards
5 vowels , 21 consonants
P ( vowel) = vowel/total= 5/26
Return the card
26 cards
5 vowels , 21 consonants
P( consonant) = consonant / total =21/26
P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26
2205/17576
Please i need help with this ASAP....many thanks
Answer:
Yes, he has enough money.
Step-by-step explanation:
I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.
Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.
13/0.75 = 18.67 = 18 weeks
Take the number of weeks times the number of calories per week
18 x 600 = 10800
Take this number divided by 200 calories per hour to find the total number of hours.
10800/200 = 54 hours
Take this number times the amount of money per hour.
54 x 6 = 324 This number is less than 360
HELP ME ITS DUE TODAYYY
Answer:
1/11
Step-by-step explanation:
Out of eleven of the sections, Bridget only takes care of one, so she took care of one out of eleven (1/11) sections.
Hope this helped! :)
Answer:
1/11
Step-by-step explanation:
Since there are 11 equal sections in total, we know that 11 is the denominator => the amt. of garden her neighbor plants is excess info. so we can cross that out. => Bridget plants 1 section of the whole garden so that is our numerator.
Thus, we have our answer of 1/11
Find the distance of the line segment joining the two points: (sqrt 2,1) and (0, -sqrt 2)
Answer:
2.8
Step-by-step explanation:
√(-√2-1)²+(0-√2)²
Write the expression in exponential form. logb M = y
Answer:
[tex]b^y=M[/tex]
Step-by-step explanation:
By definition of logarithms:
[tex]b^y=M[/tex]
Answer:
[tex]b^y=M[/tex]
Step-by-step explanation:
Recall the definition of logarithms: [tex]log_{b}M=y[/tex], where [tex]b^y=M[/tex].
The answer would be [tex]b^y=M[/tex].
For some examples, consider:
[tex]log_{2}8=y[/tex]. In other words: (b=2 and M=8), [tex]2^y=8[/tex]. Thus, [tex]y=3[/tex]. So:
[tex]log_{2}8=3[/tex]; [tex]2^3=8[/tex]
PLEASE HELP ASAP!!! What is the standard form for the quadratic function? g(x) = (x + 5)^2 −1
g(x)= x^2 − 10x − 26
g(x)= x^2 + 24
g(x)= x^2 − 26
g(x)= x^2+10x + 24
Answer:
g(x)= x^2+10x + 24.
Step-by-step explanation:
g(x) = (x + 5)^2 −1
= x^2 + 5x + 5x + 25 - 1
= x^2 + 10x + 24
g(x)= x^2+10x + 24 is your answer.
Hope this helps!
Answer:
the answer is g(x)=x^2+10x+24.
Step-by-step explanation:
here,
=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)
=x^2+10x+25_1
=x^2+10x+24... is answer
hope its helpful to uh..
(07.08 MC) The graph below shows the price, y, in dollars, of different amounts of peanuts, x, in pounds: Which equation best represents the relationship between x and y? (5 points) Select one: a. y = x + 6 b. y = 3x c. y = 6x d. y = x + 3
Answer:
B. y = 3x
Step-by-step explanation:
Since the y-axis is going up by 6's and the x-axis is going up by 2's, we can see that we would need to multiply the x-axis values by 3 to get our y-values. Therefore, our linear equation for this graph is y = 3x.
Use the equation tool to complete the table.
y = 120 + 18(x)
Enter the correct answer.
Tara has made 120 cookies for the sale
and has one more day to bake. Tara's pan
allows her to bake 18 cookies per batch.
Tara can use the equation of the function to predict the total number of cookies: y=120+18(x). However, she prefers to use a table. (image)
Answer: ? = 264
Step-by-step explanation:
Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:
y = 120 + 18(x)
Replacing and solving for y (number of cookies)
y = 120 + 18(8)
y = 120+144 = 264 cookies
The missing value in the table is⇒ ? = 264
Feel free to ask for more if needed or if you did not understand something.
Answer:
answer is 264
Step-by-step explanation:
The number of months in y years
Answer:
12y
Step-by-step explanation:
There are 12 months in a year
Take the number of years and multiply by 12
12y is the number of months
Answer:
12y
Step-by-step explanation:
To find the number of months in a certain amount of years, there are twelve months in a year, so you would just multiply twelve by the number of years. Hope this helped!
Brainliest is always really appreciated :)
the probability of spinning an odd number on a spinner is 62 percent . What is the probability of not spinning an odd number?
Subtract the percent of getting odd from 100 percent.
100 - 62 = 38%
In one year, a satellite orbiting the Earth travels 9.6 x 10^10 m (meters). Which
of the following is the best way to rewrite this quantity, using more
appropriate units?
A. 9.6 x 10^10 m
O B. 9.6 x 10^7 km
O C. 9.6 x 10^12 cm
D. 9.6 x 10^13 mm
Answer: B: 9.6 x 10 7 km
Step-by-step explanation:
pls help me with this algebra question
Step-by-step explanation:
Since the three given points represent a straight line, we can construct a table to go to the point where x=0, the y-value will be the y-intercept.
-36 -117
-27 -98
-18 -79
We note that for every increase of 9 in x, there is an increase of 19 in y.
so continuing:
-9 -60
0 -41 (y-intercept)
Answer: y-intercept is (0,-41)
if a square is dilated by a factor of 2 what is the measure of each individual angle
Answer:
4:1
Step-by-step explanation:
If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².
The measure of each individual angle will be of 90°
What is a quadrilateral ?A quadrilateral is a 2D figure which has 4 sides.
According to the given question a square is dilated by a factor of 2.
Suppose the side of the original square was x cm.
∴ We know the area of he square will be side² which is
= (x)²
= x².
Now the square is dilated by a factor of 2.
∴ Side of the new square will be 2x and the area of the new square will be (2x)² which is 4x².
But the measure of each individual angle will be same and they are all of 90°.
learn more about quadrilateral here :
https://brainly.com/question/13805601
#SPJ2
Evaluate -(3^-5)(3^3)
O A. -9
O B. - 1/2
O C. 9
D. 1
Answer:
-1/9
Step-by-step explanation:
- (3^-5) (3^3)
Apply the law of exponents.
- 3^(-5 + 3)
Add the exponents.
- 3^(-2)
Evaluate.
= - 1/9
Answer:
A
Step-by-step explanation:
(3^-5)(3^3)
=3^-5+3
=3^-2
=1/3^2
=1/3×3
=1/9
=-9
Use the matrix tool to solve the system of equations. Choose the correct ordered pair. 4x-7y=-12 and -2+6y=11 plz help!!
Answer:
Option C.
Step-by-step explanation:
Note: x is missing in the second equation.
The given equations are
[tex]4x-7y=-12[/tex]
[tex]-2x+6y=11[/tex]
It can we written as
[tex]\left[\left.\begin{matrix}4 & -7\\ -2 & 6\end{matrix}\right|\begin{matrix}-12\\ 11\end{matrix}\right][/tex]
Divide row 1 be 4.
[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ -2 & 6\end{matrix}\right|\begin{matrix}-3\\ 11\end{matrix}\right][/tex]
Applying [tex]R_2\to R_2+2R_1[/tex], we get
[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & \dfrac{5}{2}\end{matrix}\right|\begin{matrix}-3\\ 5\end{matrix}\right][/tex]
Applying [tex]R_2\to \dfrac{2}{5}R_2[/tex], we get
[tex]\left[\left.\begin{matrix}1 & -\dfrac{7}{4}\\ 0 & 1\end{matrix}\right|\begin{matrix}-3\\ 2\end{matrix}\right][/tex]
Applying [tex]R_1\to R_1+\dfrac{7}{4}R_2[/tex], we get
[tex]\left[\left.\begin{matrix}1 & 0\\ 0 & 1\end{matrix}\right|\begin{matrix}\dfrac{1}{2}\\ 2\end{matrix}\right][/tex]
Since [tex]x=\dfrac{1}{2}\text{ and }y=2[/tex], therefore required ordered pair is [tex](\dfrac{1}{2},2)[/tex].
Hence, option C is correct.
Convert 5pi/4 radians time degree measure
Answer:225
Step-by-step explanation:
If f(x) = 3x and g(x)=1/x
what is the domain of (gºf)(x)?
O x>0
O all real numbers except x=
= 0
X<0
all real numbers
Answer:
Here it is given that f(x)=3x and g(x)=1/x
We have to find the domain of (g o f)(x)
Now it is given that f(x) = 3x
and it is also given that g(x) = 1/x
so (g o f)(x) = g( f(x) ) = g( 3x )
which comes out to be 1 / 3x
The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.
The domain of a function is the set of input values the function can take.
The domain of the function is (b).all real numbers except x = 0
The functions are given as:
[tex]\mathbf{f(x) = 3x}[/tex]
[tex]\mathbf{g(x) = \frac 1x}[/tex]
Calculate (gºf)(x) as follows:
[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]
So, we have:
[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]
Substitute 3x for f(x)
[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]
For the above function to have a real value, the value of x must not be 0.
Hence, the domain of the function is (b).
Read more about domains at:
https://brainly.com/question/14494061
Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage?
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5,1). Question 8 options: A) 26 square units B) 20 square units C) 40 square units D) 6.5 square units
Answer:
Area ≈ 20 square units
Step-by-step explanation:
Using Distance Formula to Find the lengths
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Length XY:
=> [tex]\sqrt{(-3+3)^2+(1-6)^2}[/tex]
=> [tex]\sqrt{25}[/tex]
=> 5 units
Length YZ:
=> [tex]\sqrt{(5+3)^2+(1-1)^2}[/tex]
=> [tex]\sqrt{64}[/tex]
=> 8 units
Length ZX:
=> [tex]\sqrt{(-3-5)^2+(6-1)^2}[/tex]
=> [tex]\sqrt{89}[/tex]
=> 9.4
Perimeter:
=> 5+8+9.4
=> 22.4
Semi-Perimeter:
=> 11.2
Using Heron's Formula to find the area:
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Where s is semi perimeter and a,b and c are side lengths
=> Area = [tex]\sqrt{11.2(11.2-5)(11.2-8)(11.2-9.4)}[/tex]
=> Area = [tex]\sqrt{(11.2)(6.2)(3.2)(1.8)}[/tex]
=> Area = [tex]\sqrt{399.9}[/tex]
=> Area = 19.99
=> Area ≈ 20 square units
6j + 7 =21 -j pls show work
Answer:
Step-by-step explanation:
6j + 7 = 21 - j
Add 'j' to both sides
6j + 7 + j = 21 - j +j
7j + 7 = 21
Subtract 7 form both sides
7j + 7 - 7 = 21 - 7
7j = 14
Divide both sides by 7
7j/7 = 14/7
j = 2
Answer:
j = 2
Step-by-step explanation:
6j + 7 = 21 - j
6j + j = 21 - 7
7j = 14
j = 14/7
j = 2
14. Solve 10 + 6(-9 – 4x) = 10(x - 12) + 8.
O A. X = 17
OB. X = 2
O C. X = -18
O D. X = -6
Answer:
B
Step-by-step explanation:
[tex]10+6(-9-4x)=10(x-12)+8[/tex]
[tex]10-54-24x=10x-120+8[/tex]
[tex]-44-24x=10x-112[/tex]
[tex]-44=34x-122[/tex]
[tex]78=34x[/tex]
[tex]x=2[/tex]
Every 7th person who enters a store is given a survey to complete. Which type of sampling method is described in this situation?
A. voluntary sample
B. convenience sample
C. simple random sampling
D. systematic random sampling
Answer:
D. Systematic Random Sampling
Pls mark as Brainliest
(50 pts) Find the odds in favor of rolling two consecutive odd numbers when a pair of dice is rolled.
Answer:
1/4Step-by-step explanation:
Rolling two consecutive odd numbers when a pair of dice is rolled.
There are 3/6 (1, 3, 5) odd numbers on a fair dice.
3/6 = 1/2
The dice is rolled twice.
1/2 × 1/2 = 1/4
Answer:
Your correct answer is 1/4
Step-by-step explanation:
The numbers 1, 3, and 5 are all odd numbers on a fair dice.
3/6 = 1/2
The dice will be rolled 2 times.
1/2 × 1/2 = 1/4
Complete the following item. Consult the table above to find the cosine number. Find A to the nearest degree. A ≈ a0degrees.
Answer: Angle A to the nearest degree = 50°
Step-by-step explanation:
Given the triangle ABC:
Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.
cosine of A
Using Pythagoras rule :
Cos A = Adjacent / Hypotenuse
Cos A = 267 / 391
Cos A = 0.6828644
Taking the cos inverse of angle A
A = Cos^-1 (0.6828644)
A = 46.932111°
A = 50°
Answer:
47°
Step-by-step explanation:
I thought of a number, divided it by 11 and added seven. I got 19. What was my number?
Answer: 132
Step-by-step explanation:
First, you write your equation. Let your number be X.
Here is your equation.
(x ÷ 11) + 7 =19
Now, you do the opposite. What is the opposite of addition? Subtraction. So, you do 19 - 7=12
But we still have x ÷ 11 and now we would do 12 x 11, which is 132 and that should be the answer. Hope this helps!
please please help
25 POINTSS
Answer:
P ( not win) = (m-l) / m
Step-by-step explanation:
If there are m tickets and l are winners
m-l are not winners
P( not winning) = non winners/ total
(m-l) / m
Answer:
Step-by-step explanation:
P ( not win) = (m-l) / m
WILL AWARD BRAINLIEST
Note: This is the same question as #3, but the third row of the proof is different!
Statements
Reasons
0
DE || AB
Given
E
B
CDE
Given: DE || AB
Prove: AABC-
ZCE
AABCN
Answer:
ΔABC is similar to ΔCDE
Step-by-step explanation:
Statement Reason
DE ║AB Given
∠CDE ≅ ∠CAB Corresponding Angles Theorem
∠C ≅ ∠C Reflexive property of congruence
ΔABC is similar to ΔCDE AA postulate
The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).
Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).
Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)