By the polynomial remainder theorem the remainder is equal to [tex]f(a)[/tex]
Resolve into factor :(a+b) ^3+1
use the formula a^3+b^3=(a+b)^3-3ab(a+b)
in above question assume (a+b) as a and 1 as b
take help of file above
trigonometric identities
With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.
Then from the Pythagorean identity, it follows that
sin²(θ) + cos²(θ) = 1 ==> sin(θ) = -√(1 - cos²(θ))
and so
sin(θ) = -√(1 - (-8/13)²) = -√105/13
Recall the double angle identity for sine:
sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169
Is this right? Can someone please check?
Answer: Yes, Substitution property is the correct option.
Step-by-step explanation:
Substitution property of equality says that if 'a= b', then 'a' can be substituted in for 'b' in any equation, and 'b' can be substituted for 'a' in any equation.Given: m∠A+m∠B =70° ...(i), m∠X=m∠A
Then, substitute m∠X for m∠A in (i) , we get
m∠X+m∠B =70°
So, the correct option is "Substitution property"
a trader bought 90oranges at 3 for gh¢ 0.75 .how much did she get from selling all
Answer:
How much did she sell it
What is the square root of 48? what is the square root of 1/49 ? what is the square root of 4/100 ?
Answer:
Step-by-step explanation:
√48 = √(3*16) = 4√3
√1
√(1/49) = ------- = 1/7
√49
√4
√(4/100) = --------------- = ±2/10 =
√100
The cross-section of a searchlight mirror is shaped like a parabola. The light bulb is located 3 centimeters from the base along the axis of symmetry. If the mirror is 20 centimeters across at the opening, find its depth in centimeters. (Round your answer to the nearest tenth if necessary.)
The depth of the mirror of the cross-section of a searchlight would be 8.33 cm if the light bub has a vertex at 3 cm and the mirror is 20 centimeters across at the origin.
A cross-section is perpendicular to the axis of the symmetry goes through the vertex of the parabola. The cross-sectional shape of the mirrored section of most searchlights or spotlights is parabolic.
It helps in maximizing the output of light in one direction.The equation of the cross-section of the parabola is - [tex]y^{2} = 4ax[/tex], where a is the focus and x is the depth of the mirror from its origin.Given:
a = 3
y = [tex]\frac{20}{2}[/tex] cm = 10 cm
Solution:
from the equation [tex]y^{2} = 4ax[/tex]
[tex]y^{2} = 4*3*x\\ y^{2} = 12x[/tex]
putting x, 10 cm in the equation
[tex]x=\frac{10^{2} }{12} \\\\x= \frac{100}{12} \\\\x= 8.33 cm[/tex]
thus, the depth of the mirror would be - 8.33 cm
Learn more about other problems of the parabola:
https://brainly.com/question/12793264
Các câu nào trong các câu sau là mệnh đề? Nếu là mệnh đềhãy xác định tính đúng sai của chúng
a.“Hà Nội là thủđô của Việt Nam”
b. “5 6 3.4 7 12 ”
c. “Hôm nay trời đẹp quá“
d. “21 0x luôn có nghiệm”
e. “Phương trình 21 0x vô nghiệm”
. “7263là sốchính phương”
g. “447 2chia hết cho 5”
h. “210-1 chia hết cho 11
Answer:
higddthhgffhjkkkmjguyfddd
find the gcd of 12 18 and 24
Answer:
6
Step-by-step explanation:
the solution in photo :)
Answer:
6
Step-by-step explanation:
→ Prime factorise each number
12 = 2² × 3 ⇒ 2 × 2 × 3
18 = 2 × 3² ⇒ 2 × 3 × 3
24 = 2³ × 3 ⇒ 2 × 2 × 2 × 3
→ Find which number there are in each one
2 and 3
→ Multiply them together
2 × 3 = 6
suppose that you need to determine what amount 6/7 of a quantity is. How many equal parts is the initial quantity divided into?
Answer:
7
Step-by-step explanation:
you would divide by 7 then times by 6
2 = 3 − q what does 9 equal
Step-by-step explanation:
2 = 3 - q
1 = (3 - q)×1/2
9 =(3 - q) ×1/2×9
9 = 27 - Q/2
Answer:
Step-by-step explanation
Why do you think that when subtracting a negative
number, in reality you are adding it? (For example: 1-
(-1) = 1+1=2)
Answer:
See explanation
Step-by-step explanation:
When we have a positive number and a negative number, let's imagine it with a number line.
<-----------0----------->
If we have the positive number 1:
<-----------0--1-------->
And we want to subtract 1 from it, the number would move to the left
1 - 1 = 0
<-----------0----------->
However, if we were to subtract a negative number, they are opposites. It can't move to the left because that's what a positive number does. The only other way to go: right.
1 + -1 = 2
<-----------0--1--2----->
Hope this helped!
The work of a student to solve a set of equations is shown:
Equation A: y = 10 - 22
Equation B: 5y = 2 - 4z
Step 1: -5(y) = -5(10 – 2z) [Equation A is multiplied by -5.]
5y = 2 - 42 [Equation B]
Step 2: _5y = 10-22 [Equation A in Step 1 is simplified.]
5y = 2 - 4z [Equation B]
Step 3:
0 = 12 - 6 [Equations in Step 2 are added.]
Step 4:
z = 12
Step 5:
z = 12
In which step did the student first make an error?
Answer:
Step 2.
Step-by-step explanation:
Given the two equations,
Equation A: y = 10 - 2z
Equation B: 5y = 2 - 4z solved by a student, we are to determine the step where the student made an error in his/her calculation. Let's follow the steps;
Step 1: multiply equation A by -5. The essence of this is to be able to cancel out one of the variables and calculate for the other variable. On multiplication we have;
y = 10 - 2z × (-5)
5y = 2 - 4z × (1)
_____________________
-5y = -5(10-2z) .... A
5y = 2 - 4z..... B
Step 2: simplify equation A by opening the bracket.
-5y = -5(10)+5(2z)
-5y = -50+10z
The equations become;
-5y = -50+10z .... A
5y = 2 - 4z..... B
It can be seen that her simplified expression does not tally with what we got i.e -5y = -50+10z. This was the step the student made the first error.
Since this student step is wrong, the remaining calculation will be wrong.
Let us fix the calculation steps now.
We will continue from the previous step.
Step3: Add equation A and B in step 2 together.
-5y+5y = (-50+2)+(10z-4z)
0 = -48+6z
Step 4: Add 48 to both sides:
0+48 = -48+6z+48
48 = 0+6z
48 = 6z
Step 5: Divide both sides by 6
48/6 = 6z/6
6 = z
z= 6
Hence, the value of z = 6 not 12 and the student made his/her first error in step 2.
6g+5 =-2(1+2g)
------------------
Answer:
g: -7/10 or -0.7
Step-by-step explanation:
[tex]6g+5=-2\left(1+2g\right)[/tex]
Apply the distributive law:-
[tex]-2\left(1+2g\right)[/tex]
[tex]=-2-4g[/tex]
[tex]6g+5=-2-4g[/tex]
Now, we´ll Subtract 5 from both sides :-
[tex]6g+5-5=-2-4g-5[/tex]
[tex]6g=-4g-7[/tex]
Add 4g to both sides :-
[tex]6g+4g=-4g-7+4g[/tex]
[tex]10g=-7[/tex]
Now, divide both sides by 10:-
[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]
[tex]g=-\frac{7}{10}[/tex]
OAmalOHopeO
In a research study, students were randomly assigned to three different groups. Group 1 drank no cups of coffee, group 2 consumed 1 cup of coffee, and group 3 consumed 2 cups of coffee. Following this, all the participants took an IQ test. What is the independent variable
Answer:
The score that they got on the IQ test is the dependent variable
Step-by-step explanation:
Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?
Answer:
216
Step-by-step explanation:
Volume of a rectangular prism = area of base * depth
Area of base: 72
Depth: 3
Volume = 72 * 3 = 216
I need help again please
Answer:
multiply 3 by 18
Step-by-step explanation:
1 page
-------------
3 minutes
Multiply the top and bottom by 18 to get to 18 pages
1*18 page
-------------
3*18 minutes
18 pages
---------------
54 minutes
Answer:
multiply 3 by 18
Step-by-step explanation:
rate = number of pages / time
rate = 1 page/3 min = 1/3 page/minute
pages = rate * time
time = pages / rate
time = 18 pages / (1/3 page/minute)
time = 18 * 3 minutes
Answer: multiply 3 by 18
Dr. Green has to multiply the weight of the team's bug spray bottles, 7 x 90 grams. To solve this, he writes out the equation 7 x 9 x 10. Why does this strategy work?
Because 9 × 10 equals 90
Then 7×90=7×9×10
A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 85 feet, what is the area that is watered as the sprinkler rotates through an angle of 60 degrees? Use 3.14 for pi . Round your answer to the nearest square foot, and enter the number only.
Answer:
The watered area is approximately 3783 square feet.
Step-by-step explanation:
The area that is watered due to the rotation of the spankler is a circular section area ([tex]A[/tex]), whose formula is:
[tex]A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}[/tex]
Where:
[tex]d[/tex] - Water distance, measured in feet.
[tex]\theta[/tex] - Rotation angle, measured in sexagesimal degrees.
Given that [tex]d = 85\,ft[/tex] and [tex]\theta = 60^{\circ}[/tex], the watered area is:
[tex]A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}[/tex]
[tex]A \approx 3783\,ft^{2}[/tex]
The watered area is approximately 3783 square feet.
Answer:176
Step-by-step explanation:
6 times 29.33333333333333
When was the first Bible created?????
Answer:
Started- 1200BC
Moses wrote the book of Torah.
Ended- 96 CE
John wrote the last book, The book of 'revelation'
Step-by-step explanation:
It took 1400 years to write it.
40 people around 38 people wrote the Bible even though the main author of the book is Holy Spirit.
The Bible has 2 sections:
Old testamentNew testamentOld testament
Consists of 39 books.
Also referred to as taNaK which means the 'old testament' in Hebrew.
Based on the first five books of the testament (Torah or Pentateuch)
Written before the birth of Jesus Christ.
New testament
Consists of 27 books.
Written after the birth of Jesus Christ.
Based on the teachings and life of Christ (The Gospel).
Apocrypha:
Written between the Old testament and the New Testament.
Some denominations of Christianity don't believe in the Apocrypha.
Took 400 years to write it.
Hope this helps ;) ❤❤❤
Answer:
k Nishant
Step-by-step explanation:
The Old Testament is the original Hebrew Bible, the sacred scriptures of the Jewish faith, written at different times between about 1200 and 165 BC. This your answer
please answer the question in the photo
Answer:
b
Step-by-step explanation:
i honestly dont know what a and c are but cytokinesis is the division of the cytoplasm eg in binary fission and the question is on chromatids I chose b since in meiosis is where homologous chromosomes fail to separate however this can happen if it's the second phase of meiosis but since in mitosis in anaphase is where sister chromatids can fail to separate I chose it
Which of the following intervals is the graph decreasing?
Answer:
B
Step-by-step explanation:
Values of y are decreasing where x is in the range (-4;02)
Best answer gets brainliest and 5 stars
Answer:
No, because 6² + 8² ≠ 12²
Step-by-step explanation:
In a right angled triangle,
Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)
But in the given triangle; 6² + 8² ≠ 12²
36 + 64 ≠ 144
100 ≠ 144
Perpendicular² + base² ≠ hypotenuse²
Thus the given triangle is not right angled.
what does -5/7 x 1/5 equal?
Answer:
The answer is -0.04
Step-by-step explanation:
You purchase x number of balloons for your party. You distribute them evenly among 8 tables. While you are finishing up with your decorations, 2 balloons pop. Is it true that each table will now have x − 2 8/2 balloons? Explain why or why not. someone help plzz
Answer:
No, it's just maximum of two tables that lost balloon so there is no way it affected each table.
Step-by-step explanation:
Number of balloons purchased= x
Number of tables = 8.
Each table has = x/8 balloons
If 2 balloons pop.
Let's assume it's just from a table
That table has( x/8 -2)
If it's from 2 table
The two table has
(X/8-1) for both tables
But the total balloon remaining = x-2
There is no particular equation that can describe the gallon on each table because it's only two balloons that popped.
Answer:
That expression is not true. To evenly distribute the balloons you use x/8. Then you subtract 2 balloons from that total amount. The subtraction must be done after the division. There will not be the same number of balloons at each table.
Step-by-step explanation:
It was the sample answer.
Tony gets paid $5 per hour to babysit his cousin. This weekend, he babysat on
both Saturday and Sunday. He made a total of $55. Tony babysat for 6 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.
Answer:
5 hours
Step-by-step explanation:
55/5 is 11 (he worked 11 hours total). 11-6 is 5
Answer:
5 hours on Saturday
Step-by-step explanation:
x = hours
5x + 6(5) = 55
5x + 30 = 55
5x = 25
x = 5
Write a word problem for this equation.
10 lb - w = 3 lb
Answer:
10 people buy slushies and the price of each is lb. They have already spent w on food. How much did they spend on slushies.
Step-by-step explanation:
Find all values of $x$ such that $3x^2 + 16x + 5=0$. If you find more than one value, then list your solutions, separated by commas.
answer
x = {-5, -⅓}
explanation
[tex]3 {x}^{2} + 16x + 5 = 0[/tex]
[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]
[tex]3x(x + 5) + 1(x + 5) = 0[/tex]
[tex](x + 5)(3x + 1) = 0[/tex]
[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]
[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]
HOPE IT HELPS...
BRAINLIEST PLEASE ;-)Vince went on a 333 day hiking trip. Each day, he walked 3\4 the distance that he walked the day before. He walked 83.2583, point, 25 kilometers total in the trip.
Answer:
x= 36 km
Step-by-step explanation:
Vince went on a 3 day hiking trip. Each day, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in the trip. How far did Vince walk on the 1st day of the trip?
Assume vince walked x km on the first day .
The following equation can be formed
x + 3/4 x + (3/4)^2 x = 83.25
x + 0.75x + 0.5625x = 83.25
Add the like terms
2.3125x = 83.25
Divide both sides by 2.3125
x = 36 km.
Answer:
36
Step-by-step explanation:
|Large{\frac {x}{x + 3} = \frac {5}{2}}
Answer:
x=-5
Step-by-step explanation:
[tex]\frac{x}{x+3} =\frac{5}{2} \\5x+15=2x\\5x-2x=-15\\3x=-15\\x=-15/3=-5[/tex]
add 2 hours 40 minutes to 11 hours 40 minutes
Answer:
14 hours and 20 minutes
Step-by-step explanation:
11 hours + 2 hours = 13 hours
40 minutes + 40 minutes = 1 hour and 20 minutes
Then you add the answers together
13 hours + 1 hour 20 minutes = 14 hours and 20 minutes
Hope this helps
Answer:
860min or 13:80=14:20=2:20
Step-by-step explanation:
1 hour=60min
2 hours=120min
So, we will add 120min to 40 min
120min+40min=160min
1hour=60min
11hour=660min
So we will add 660min to 40min
660min+40min=700min
160min+700min=860min
2:40
+11:40
13:80
Hope this helps ;) ❤❤❤