Answer:
The distributive property is to multiply the outside of a parenthesis by each term inside, for example:
[tex]x(y+z)=xy+xz[/tex]
this cannot be done with the trigonometric functions such as the sine.
An example of this:
let's prove that we don't get the correct result using the distributive property in the following expression:
[tex]sin (\pi+\pi/2)[/tex] ≠ [tex]sin(\pi)+sin(\pi/2)[/tex]
We add the elements in the parentheses on the left side:
[tex]sin(3\pi/2)[/tex] ≠ [tex]sin(\pi)+sin(\pi/2)[/tex]
this are known values of the sine function:
[tex]sin(3\pi/2)=-1[/tex]
[tex]sin(\pi)=0[/tex]
[tex]sin(\pi/2)=1[/tex]
substituting these values we will get that:
-1 ≠ 0 +1
-1 ≠ 1
Thus we notice that we don't get the correct result using the distributive property.
The correct way to express the angle sum in the sine function is:
[tex]sin(a+b)=sin(a)cos(b)+sin(b)cos(a)[/tex]
Question 5(Multiple Choice Worth 5 points) (07.01 MC)Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true? {1, 2} {1, 2, 3} {1, 2, 3, 4, 5} {2, 3, 4, 5}
Answer:
the answer is {2, 3, 4, 5}
Step-by-step explanation:
3(2) + 1 > 4 3 times 2 is 6+1=7>4 anything above 2 works
3(3) + 1 > 4
3(4) + 1 > 4
3(5) + 1 > 4
Answer:
D
Step-by-step explanation:
3x + 1 > 4
if x=1
3*1 + 1 > 4
3+1 > 4
4 not greater than 4
if x=2
3*2 + 1 > 4
6+1 > 4
7 > 4
if x=3
3*3 + 1 > 4
9+1 > 4
10 > 4
if x=4
3*4 + 1 > 4
12+1 > 4
13 > 4
if x=5
3*5 + 1 > 4
15+1 > 4
16 > 4
Thus, the set is [2,3,4,5], option 4 or D
Please help me ( This the the owner of this acc sister again) Please don't remove this!
Answer:
Sam won first, Craig won second, Randy won third, and Charlie won fourth.
Step-by-step explanation:
Sam won first, Craig won second, Randy won third, and Charlie won fourth. It's all a matter of which number is bigger, which means it took more time.
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -x + 6. What is the point-slope form
of the equation for this line?
Oy-3=(x + 8)
y +3=(x-8)
y + 8 = }(x-3)
y-8=-? (x + 3)
Answer:
D. y - 8 = - (x+3)
Step-by-step explanation:
y = - x + 6
Slope m = - 1.
Point (-3,8).
The point-slope form
y - y1 = m(x - x1)
y - 8 = - (x+3)
Solve the following:
a) 2(x + 3) = x -4
b) 4(5x - 2) = 2(9x + 3)
Answer:
2x + 6 = x -4
Step-by-step explanation:
a) 2(x + 3) = x -4
multiply 2 by x and 3 to get them out of the parentheses
2*x = 2x 2 * 3 = 6
2x + 6 = x -4
here is a little help so you can go on
Answer:
[tex]\text{a) } 2(x + 3) = x -4[/tex]
[tex]2x+6= x -4[/tex]
[tex]2x+6-6= x -4-6[/tex]
[tex]2x= x -10[/tex]
[tex]2x-x= x -x-10[/tex]
[tex]x=-10[/tex]
[tex]\text{b) } 4(5x - 2) = 2(9x + 3)[/tex]
[tex]20x - 8 = 18x+ 6[/tex]
[tex]20x - 8+8 = 18x+ 6+8[/tex]
[tex]20x = 18x+ 14[/tex]
[tex]20x-18x = 18x-18x+ 14[/tex]
[tex]2x = 14[/tex]
[tex]$\frac{2x}{2} =\frac{14}{2} $[/tex]
[tex]x=7[/tex]
which choice is equivalent to the product below?
√3 × √5 × √6
Answer:
[tex]\text{B. }3\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{3} \cdot \sqrt{5} \cdot \sqrt{6} \\\sqrt{3 \cdot 5 \cdot 6} \\\sqrt{3 \cdot 5 \cdot 2 \cdot 3}\\\ 3\sqrt{10}[/tex]
The expression √3 × √5 × √6 is equivalent to the expression 3 × √10. Then the correct option is B.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ √3 × √5 × √6
Simplify the expression, then the value of the expression will be given as,
⇒ √3 × √5 × √(3 ×2)
⇒ √3 × √5 × √3 × √2
⇒ 3 × √(5 × 2)
⇒ 3 × √10
The articulation √3 × √5 × √6 is comparable to the articulation 3 × √10. Then, at that point, the right choice is B.
More about the equivalent link is given below.
https://brainly.com/question/889935
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Find the value of the expression: \mid-13\mid\:-\:\mid-6\mid
Answer:
7
Step-by-step explanation:
[tex]\mid-13\mid\:-\:\mid-6\mid[/tex]
7
In the ordered pair (3, 4), the value of x is 3. The 3 tells us how many places we are going to walk from zero. Will you walk to the right of the zero or the left?
Answer:
You will walk to the right of zero if it is positive. It if is negative you will walk to the left
Step-by-step explanation:
Consider triangle ABC. The legs have a length of 5 units each.
Triangle A B C is shown. Angle A C B is a right angle. The lengths of sides A C and C B are 5. The length of the hypotenuse c is unknown.
What is the length of the hypotenuse of the triangle?
5 units
5 StartRoot 2 EndRoot units
10 units
10 StartRoot 2 EndRoot units
The right answer is 5√2
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
b). 5√2
Step-by-step explanation:
Determine the standard form of the equation of the line that passes through (6, - 9) and (-8, 6).
15x + 14y = - 36
15x + 14y = 36
b.
14x + 15y = -36
15x 14y = - 36
a
C.
d
Please select the best answer from the choices provided
OA
OB
OC
OD
Answer:
15x + 14y + 36 = 0
Step-by-step explanation:
As we travel from the point (-8, 6) to the point (6, - 9), the increase in x (the "run") is 14 and that in y (the "rise") is -15. Thus, the slope of the line segment connecting these two points is m = rise / run = -15 / 14.
Let's use the point (6, -9) and the slope m = -15/14 to write the equation of this line:
Adapting y = mx + b, we get:
-9 = (-15/14)(6) + b, or
-9 = -45/7 + b, which yields b = 45/7 - 9, or b = 45/7 - 63/7, or b = -18/7
Then the equation is y = (-15/14)x - 18/7
We must put this into "standard form." Multiplying all three terms by 14 to clear the fractions out, we get:
14y = -15x - 36, or (in standard form):
15x + 14y + 36 = 0
What is the first step in solving this equation:
5x + 7 = 12
Answer:
x =1
Step-by-step explanation:
5x +7=12
5x=12-7
5x=5
x=1
The solution of the equation is 1.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given equation;
5x +7=12
Subtract 7 on both side;
5x - 7 + 7 = 12-7
Divide by 5;
5x=5
or
x=1
The solution of the equation is 1.
Learn more about equations here;
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Can someone pleasee hellppppp me .......
Answer:
g(0)=0 and g(1)=1
Step-by-step explanation:
A weather forecaster suggests the probability of rain on Saturday is 30% and on Sunday there is a 50% chance of rain. If the forecaster’s probabilities are correct what is the probability of no rain all weekend?
Answer:
20%
Step-by-step explanation:
Which of these best describes the location of (2,-7) on a coordinate grid?
Question 2 options:
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:Quadrant II
Step-by-step explanation:
The point is located in the second quadrant because x is negative and y is positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right
Will mark right answer brainliest
Answer:
the location of the missing vertex of rectangle is (7,-4)
the lenght of the base of rectangle is 12
Step-by-step explanation:
height = 10
base =12
the length of a rectangle is the longest side of rectangle regardless it is vertical or horizontal side
Vhich of the following is most likely the next step in the series
Answer: C
Step-by-step explanation:
Seeing the pattern, the radius line moves 90° clockwise with each step. Therefore, C is the answer.
Solve the equation 4y – 3 = 1 for y.
A.-1
B.0
C.1
D.2
Answer:
c
Step-by-step explanation:
4 times 1 is 4 and 4-3 is 1
Answer:
c. 1
Step-by-step explanation:
4y-3=1
cancel out the numbers
4y-3=1
+3 +3
4y=4
division,
y=1
hope this helps
Find the Tolal Surface Area
5x-2y=305x−2y=30
Complete the missing value in the solution to the equation.
(8, )
Answer:
5
Step-by-step explanation:
For the point to be a solution to the equation, it has to lie on the line 5x -2y= 30 and therefore must satisfy the equation.
5x -2y= 30
When x=8,
5(8) -2y= 30
40 -2y= 30
40 -30= 2y (bring constant to 1 side)
2y= 10 (simplify)
y= 10 ÷2
y=5
Thus the missing value is 5.
I need the answer and show work for this question
Answer:
f(3) =-12
f(-1) =-12
Step-by-step explanation:
HELLO THERE
f(3)=-2(3)^2+8(3)
f(3)=-36+24
f(3)=-12
----------------------------
f(-1) =2(-1) ^2+8(-1)
f(-1) =-4-8
f(-1) =-12
//Both equal -12//
HAVE A GREAT DAY
Answer:
Step-by-step explanation:
f(x) = -2x² + 8x
f(3) = -2*(3)² + 8*3
= - 2*9 + 24
= - 18+ 24
f(3) = 6
f(1)= -2*(-1)² + 8*(-1)
= -2*1 - 8
= - 2 -8
f(1) = -10
Please hurry
Which is a factor of x2+ 7x + 10?
Answer:
x+5
Step-by-step explanation:
x^2+7x+10=0
(x+5)(x+2)=0
The only factor on that list is x+5, meaning that it is the answer. Hope this helps!
How many 1/4 pound servings of walnuts, s, are in 3/4 pound of
walnuts?
Answer:
3 servings
Step-by-step explanation:
Take the number of pounds and divide by the size of the servings
3/4 ÷ 1/4
Copy dot flip
3/4 * 4/1
3/1 * 4/4
3 servings
Answer:
3
Step-by-step explanation:
To find this out, you need to use division. Divide 3/4 by 1/4.
3/4 divided by 1/4 equals 3.
So there are 3 1/4 pound servings in 3/4 pounds of walnuts.
5. A square box has a volume of 64
cubic inches. What's its perimeter?
a. 16
b. 8
C. 72
d. 68
Answer:
a.
Step-by-step explanation:
Volume of square = length³
64 = length ³
Taking cube root in both sides
We'll get
Length = 4
Now perimeter of square = 4×L
= 4×4
= 16
Point A is at -4 and point B is at 6. Which describes one way to find the point that
B
A
+
-5 4 -3 -2 -1
+
0 1
2
3
4
5
6
7
8
For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so th
For a ratio of 3:2, divide AB into 3 equal parts. Each equal part is 3 units, so tl
For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so t
For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, sot
Answer:
D. For a ratio of 3:2, divide AB into 5 equal parts. Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.
Step-by-step explanation:
The complete question is:
Point A is at –4 and point B is at 6. Which describes one way to find the point that divides AB into a 3:2 ratio?
In a 3:2 ratio there are 3 + 2 = 5 equal parts.The distance between points A and B is: 6 - (-4) = 6 + 4 = 10 units.Each equal part is 10/5 = 2 units.Point 2 is at 2 - (-4) = 6 units from -4Point 2 is at 6 - 2 = 4 units from 6Ratio 6:4 is equivalent to ratio 3:2Two angle of a quadrilateral measure 140 and 80. the other two angels are in a ratio of 3:4. what is the value of x? what are the measures of those two angles?
Answer:
60° and 80°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
Given 2 angles in ratio 3 : 4 = 3x : 4x ( x is a multiplier )
Sum the 4 angles and equate to 360
140 + 80 + 3x + 4x = 360, that is
220 + 7x = 360 ( subtract 220 from both sides )
7x = 140 ( divide both sides by 7 )
x = 20
Thus
3x = 3 × 20 = 60° and 4x = 4 × 20 = 80°
nick has 2 cars car A uses petrol car b uses desiel
Use the Discriminant to find the nature of roots of the following relation: y = -2x2 + 9x - 7
DO NOT SOLVE.
Answer:
two real roots
Step-by-step explanation:
y = -2x^2 + 9x - 7
This is in the form
ax^2 +bx+c
a = -2 b = 9 c = -7
The discriminant is
b^2 -4ac
(9)^2 - 4(-2) (-7)
81 - 56
25
Since the discriminant is greater than zero, there are two real roots
You are a sports writer watching a baseball game. The picture is thrown a fastball, a curveball, then to fast balls, and two curveballs, then three fastballs. Predict the next 5 pitches.
Answer:
The answer is C, C, C, C, F
Step-by-step explanation:
The order that the pitcher threw is F, C, F, F, C, C, F, F, F then the next five pitches are C, C, C, C, F, F, F, F, F assuming the pitcher maintains this order
Eric’s mother wants to help him with his math homework. She puts 24 cookies in the cookie jar. 12 of the cookies are chocolate chip, 8 are oatmeal and 4 are peanut butter. She then has Eric select a cookie from the jar without looking. Next, without replacing the first cookie, Eric picks a second cookie without looking in the jar. What is the probability that Eric will pick an oatmeal cookie first and a chocolate chip cookies second?
Answer:
12% 4% 8%
Step-by-step explanation:
Answer:
4/23
Step-by-step explanation:
there are 8 oatmeal cookies out of the 24 in the jar so the probability of pulling an oatmeal cookie out is 8/24 = 1/3
Then we have 23 cookies in the jar and 12 are chocolate chip
1/3 * 12/23 = 4/23
____ angles are pairs of angles with measures that sum to 90 degrees
Answer:
Complementary
Step-by-step explanation:
COMPLEMENTARY angles are pairs of angles with measures that sum to 90 degrees.
A multi level parking lot has 6 levels and there are total of 1,327 parking spots.
1.
There are 162 parking spots on the first level. The rest of the parking spots are
distributed equally on the other 5 levels. How many parking spots are there on
the top level?
2.
There are 12 spots close to the 3 elevators reserved for drivers with disabilities
on each level. How many parking spots are reserved for drivers with disability
altogether?
3.
Other than the spots reserved for drivers with disability, there are 285 parking
spots for monthly rental and the rest are for hourly parking. How many spots are
there for hourly parking?
4.
The daily parking rate is $30. If Jack parks his car for 5 days a week and 4 weeks
in a month, how much does he pay for parking in a year?
Answer: (1) There are 233 parking spots on the top level
(2) There are 72 parking spots reserved for drivers with disabilities
(3) There are 970 spots for hourly parking
(4) He would spend $7200 for parking in a year
Step-by-step explanation: In the first instance, there is a total of 1327 parking spots altogether allocated into various categories.
(1) There are 6 levels in all, and the first level has 162 parking spots. herefore the remaining 5 levels would have 1165 parking spots left as shown below;
Remainder = 1327 - 162
Remainder = 1165
If however the remaining 1165 parking spots are distributed equally among the other 5 levels, then each level would have 233 parking spots each as shown below;
Five levels = 1165
Each level = 1165/5
Each level = 233
Therefore the top level has 233 parking spots
(2) On each level (out of all 6 levels), there are 12 spots reserved for drivers with disability. Therefore at all parking levels you would have 72 spots as shown;
Reserved spot per level = 12
Reserved spot for 6 levels = 12 * 6
Reserved spot for 6 levels = 72
Therefore there are 72 spots reserved for driver with disability
(3) Other than the spots reserved for drivers with disability (72), there are 285 parking spots for monthly rental. The rest are for hourly parking, and this is calculated as shown;
Hourly parking + monthly rental + reserved parking = 1327
Hourly parking + 285 + 72 = 1327
Hourly parking + 357 = 1327
Hourly parking = 1327 - 357
Hourly parking = 970
Therefore there are 970 spots available for hourly parking.
(4) If the daily parking rate is $30, and Jack parks his car for 5 days in a week, then he would spend
30 * 5 = 150
If he parks for 4 weeks in a month, then he would spend
150 * 4 = 600
Therefore to pay for parking in a year (12 months) he would spend
600 * 12 = 7200
Therefore he would spend $7,200 for parking in a year
