Answer:
2
Step-by-step explanation:
If 16x2 + nx + 49 is the square of a
binomial, then what value could n be?
A.14
B.28
C.42
D.56
Answer:
Th correct option is (d).
Step-by-step explanation:
The given expression is :
[tex]16x^2 + nx + 49[/tex] ....(1)
We know that, 16 = 4² and 49 = 7²
Also, (a+b)² = a²+2ab+b²
The given expression becomes,
[tex]16x^2 + nx + 49=(4x)^2+nx+7^2\\\\=(4x)^2+2(4x)(7)+7^2\\\\=16x^2+56x+49\ ......(2)[/tex]
Comparing equations (1) and (2),
n = 56
Hence, the value of n is equal to 56.
Yesterday, the temperature et noon was 11.4" misright, the tempe tine had decreed by 15.7 degrees what was the
Temperature at midnight
Answer:
-4.3 degrees
Step-by-step explanation:
if I understand the problem correctly, then the temperature at midnight fell 15.7 degrees from 11.4 degrees at noon.
11.4 - 15.7 = -4.3 degrees
so, the temperature at midnight was -4.3 degrees
Can anyone help pls? Thanks much appreciated
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
Evaluate the integral. (Use C for the constant of integration. Enter your answer using function notation - use ln(x) instead of ln x.)
Answer:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx[/tex]
Required
Integrate
Using partial fraction, we have:
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
Take LCM
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{(Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)}{(x^2 + 1)(x^2 + 3)}[/tex]
Cancel out the denominators
[tex]3x^3 + 4x^2 + 9x + 4} = (Ax+B)(x^2 + 3)+ (Cx + D)(x^2 + 1)[/tex]
Open brackets
[tex]3x^3 + 4x^2 + 9x + 4} = Ax^3+Bx^2 + 3Ax +3B+ Cx^3 + Dx^2 + Cx + D[/tex]
Collect like terms
[tex]3x^3 + 4x^2 + 9x + 4 = Ax^3+ Cx^3+Bx^2+ Dx^2 + 3Ax+ Cx +3B + D[/tex]
Compare like terms on opposite sides
[tex]Ax^3 + Cx^3 = 3x^3[/tex] [tex]A + C = 3[/tex]
[tex]Bx^2 + Dx^2 = 4x^2[/tex] [tex]B + D = 4[/tex]
[tex]3Ax + Cx = 9x[/tex] [tex]3A + C = 9[/tex]
[tex]3B + D = 4[/tex]
Subtract [tex]B + D = 4[/tex] from [tex]3B + D = 4[/tex]
[tex]3B - B + D - D = 4 - 4[/tex]
[tex]2B + 0 = 0[/tex]
[tex]2B = 0[/tex]
[tex]B = 0[/tex]
[tex]B + D = 4[/tex]
[tex]D =4 - B[/tex]
[tex]D =4 - 0[/tex]
[tex]D =4[/tex]
Subtract [tex]A + C = 3[/tex] from [tex]3A + C = 9[/tex]
[tex]3A - A + C - C = 9 - 3[/tex]
[tex]2A = 6[/tex]
[tex]A = 3[/tex]
[tex]A + C = 3[/tex]
[tex]C = 3 - A[/tex]
[tex]C = 3 - 3[/tex]
[tex]C = 0[/tex]
So, we have:
[tex]A = 3[/tex] [tex]B = 0[/tex] [tex]C = 0[/tex] [tex]D =4[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{Ax+B}{x^2 + 1} + \frac{Cx + D}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x+0}{x^2 + 1} + \frac{0*x + 4}{x^2 + 3}[/tex]
[tex]\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} = \frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}[/tex]
The integral becomes:
[tex]\int\limits {[\frac{3x}{x^2 + 1} + \frac{4}{x^2 + 3}]} \, dx[/tex]
Split:
[tex]\int\limits {\frac{3x}{x^2 + 1} \, dx + \int\limits {\frac{4}{x^2 + 3}} \, dx[/tex]
Split
[tex]\frac{3}{2} \int\limits {\frac{2x}{x^2 + 1} \, dx + 4\int\limits {\frac{1}{x^2 + 3}} \ dx[/tex]
Integrate
[tex]\frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}\frac{x}{\sqrt 3} + c[/tex]
Hence:
[tex]\int\limits {\frac{3x^3 + 4x^2 + 9x + 4}{(x^2 + 1)(x^2 +3)}} \, dx = \frac{3}{2}\ln(x^2 + 1) + 4\sqrt{3}\tan^{-1}(\frac{x}{\sqrt 3} )+ c[/tex]
Math Escape Level 3 plz hurry it is due to today bestie
Answer:
1
Step-by-step explanation:
x-9=-8
x=-8+9
x=1
Simplify the expression:
7y+9+7–2y
Answer:
5y+16
Step-by-step explanation:
see image below:)
Answer:
5y+16
Step-by-step explanation:
like terms y and y
7y-2y
9+7
5y+16
Please help!
What is the area in square units?
A drawer contains 8 red socks, 6
white socks, and 4 blue socks. Without
looking, you draw out a sock, return
it and draw out a second sock. What is
the probability that the first sock is
white and the second sock is blue?.
simplest form
Answer:
2/27
Step-by-step explanation:
First probability = 6/18 = 1/3
second probability = 4/18 = 2/9 (in this case the number of socks remains the same because we returned the first one)
Final probability = 1/3 * 2/9 = 2/27
In how many ways the letter of the word 'Nawalpur' be arranged in which no tow A's come together.
Answer:
below
Step-by-step explanation:
(8! - 7!)
= 35280
that is the procedure above
NEED HELP ASAP. WILL GIVE BRAINLY
2. Solve system A by substitution. Solve system B by elimination.
A. {
x = 3y − 4
2x − y = 2
B. {
3x + 2y = 7
−x + y = −4
Answer:
A. x = 2 and y =2
B. x = 3 and y = -1
Step-by-step explanation:
A. { x = 3y − 4
2x − y = 2
1) Substitute the value of x
2(3y − 4) − y = 2
2) Solve the equation for y
y = 2
3) Substitute the value of y
x= 3(2) -4
4) Solve the equation for x
x = 2
Final Solution: x = 2 and y =2
B. { 3x + 2y = 7
−x + y = −4
1) Multiply both sides of the equation by 3
-3x + 3y = -12
2) Eliminate one variable by adding the equations
3x + 2y = 7
+ (−3x + 3y = −12)
5y = -5
3) Divide both sides of the equation by 5
y = -1
4) Substitute the given value of y into the equation -x + y = -4
-x + (-1) = -4
5) Solve the equation for x
x = 3
Final Solution: x = 3 and y = -1
rlly need help on this who ever answers correctly I'll give BRAINLIEST
Answer:
the answer is found at option D
Evaluate g(n- 7) if g(x) = x^2-6/7x
Step-by-step explanation:
g(n-7) = (n-7) ^2-6/7 (n-7) = n^2 -14n+49-6/7 n +6= n^2-104/7 n +55
Answer: A.
The correct answer is actually A.
Step-by-step explanation:
n ^2 - 14n + 43 / 7n - 49
if x varies directly as y write a formula connecting x and y y.use k as a constant of variation.
Answer:
x=KY
as x is directly proportional to y
Little help here
i finished Part A
Part B i dont know it ;-;
Answer:
image is not clear
Step-by-step explanation:
Solve x+1>3. Graph the solution.
Answer:
x>2
Step-by-step explanation:
x+1>3.
Subtract 1 from each side
x+1-1 > 3-1
x>2
There is an open circle at 2 and the lines goes to the right
Hi can someone help me with this pleaseee
Second choice.
Which is 1591.1 cm^2.
HELP PLEASEEEEE IM BEGGING !!
Answer:
80°
Step-by-step explanation:
lol hope I'm correct
Give the slope and the y-intercept of the line
y= −x+8
. Make sure the y-intercept is written as an ordered pair.
Slope:
Y-intercept:
the radius r of the circle below is 11cm
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ = 3.14 \times {11}^{2} \\ = 380.1 \: {cm}^{2} [/tex]
The sum of four times a number and 3 is -13. Find the number.
Answer:
x is equal to -4
Step-by-step explanation:
4x+3= -13
4x/4= -16/4
x= -4
Can someone please help with this one? Thank you!
Answer:
A'(5,1), B'(3,2), C'(4,5)
Area of a rectangle is 272.4 m if the length is 15 m what is the perimeter of the rectangle
Answer:
66.32
Step-by-step explanation:
Hello!
[tex]\large\boxed{66.32 m}[/tex]
We are given the area, so we can solve for the width given the length:
A = l × w
Thus:
272.4 = 15 × w
w = 18.16 m
The perimeter of a rectangle can be calculated using this equation:
P = 2l + 2w
Therefore:
P = 2(15) + 2(18.16)
P = 30 + 36.32 = 66.32m
Question 13 of 47
What is the sum of the complex numbers below?
(5-8i) + (1-11i)
a. 6+19i
b. -6+19i
c. -6-19i
d. 6-19i
Answer:
d. 6-19i
Step-by-step explanation:
(5-8i)+(1-11i)
Step 1: Combine like terms within the parenthesis. There are no like terms within the parenthesis. So, drop the parenthesis and move on to the next step.
(Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).
5 - 8i + 1 - 11i
Step 2: Now add like terms.
5 + 1 - 8i - 11i
6 - 19i
You can't combine any more like terms, so this is your final answer.
6 - 19i
The area of a triangle with a height of 9 cm and a base of 6 cm is
Answer:
27 cm²
Step-by-step explanation:
Formula of Area Triangle = 1/2(base x height)
Base = 6 cm
Height = 9 cm
1/2 ( 6 x 9 ) = 1/2 ( 54 ) = 27
Units = cm * cm = cm²
27 cm²
Why the formula (1/2 ( base x height )) works:
Take a triangle
Duplicate the triangle
And rotate the triangle and put it next to the other one
What shape does it form?
Either a parallelogram or a rectangle
The formula for a parallelogram or rectangle is (base x height)
Since you are initially doubling the area of the triangle to get the rectangle, solve for the rectangle and divide by 2.
So, do base x height
And divide by 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT
Answer:
c
Step-by-step explanation:
OK 250 divided by 40 equals 6.25 so she would need 6 bags at least, i would say its your answer but you said its wrong so
Answer:
Solution given:
Annie needs 250 lb of cement to fix the outer step.
Each bag hold 40 lb of cement.
Now
40 lb =1bag
we need
250lb= ? bag.
we have
no of bag =needed lb/1 bag's lb=250/40=250/40=6.25
we do not need more than 7 bags
Annie needs 7 bags.
So
The required inequality is:
b≥7.
Suppose that four men and four women will be randomly lined up, from left to right, with all possible orderings of these eight people being equally likely. What is the probability that the men will be in alphabetical order, from left to right, and at the same time the women will also be in alphabetical order, from left to right
Answer:
P = 1 / 40320 or P = 2.48*10⁻⁵
Step-by-step explanation:
The total number of outcomes To is:
To = 8! To = 8*7*6*5*4*3*2
To = 40320
Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:
P = 1 / 40320 or P = 2.48*10⁻⁵
What is the length of DF?
Answer:
-DE+EF
Step-by-step explanation:
this is because DE is a negative vector because we are moving against the direction
Helen rolls a dice and flips a coin.
Calculate the probability that she gets a 4 and a tail.
1/6 odds of rolling a 6
1/2 odds of flipping tails
1/6 x 1/2 = 1/12
The probability that she gets a 4 and a tail is 1/12.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
Helen rolls a die and flips a coin.
The probability of getting 4 on the die,
= 1/6
The probability of getting tail on the coin,
= 1/2
The probability that she gets a 4 and a tail,
= 1/2 x 1/6
= 1/12
Therefore, the probability is 1/12.
To learn more about the probability;
brainly.com/question/11234923
#SPJ2
Twelve times a number x, plus a second number y.
Answer:
12x+y
Step-by-step explanation:
12 times a number x
12x
Plus y
12x+y
PLEASE HELP ASAP !!!!!!!!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
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