Answer:
64
Step-by-step explanation:
(x-8)^2
derived from the middle term divided by 2
Answer:
64
Step-by-step explanation:
x^2 − 16x + ___
Complete the square
Take the coefficient of the x term
-16
Divide by 2
-16/2 = -8
Then square it
(-8)^2 = 64
Please help! I’ve tried every site and nothing has helped
The answer is 11.8
Answer:
11.8%
Step-by-step explanation:
Here in this question, we want to find the probability of no success in the binomial experiment for 6 trials.
Let p = probability of success = 30% = 30/100 = 0.3
q = probability of failure = 1-p = 1-0.3 = 0.7
Now to calculate the probability, we shall need to use the Bernoulli approximation of the binomial theorem.
That would be;
P(X = 0) = 6C0 p^0 q^6
6C0 is pronounced six combination zero
= 6 * 0.3^0 * 0.7^6 = 1 * 1 * 0.117649 = 0.117649
This is approximately 0.1176
If we convert this to percentage we have 11.76%
But we want our answer rounded to the nearest tenth of a percent and that is 11.8%
EXERCISE 1. Find the equation of the straight line through the point (2, 3) whose intercept on s-axis is twice that on y-axis.
Using a sample of 60 undergraduates, Dr. Hotchkins discovers a negative correlation between stress and emotional well-being. While looking at a scatterplot of the data, Dr. Hotchkins realizes there are 4 outliers in the data, all for individuals with extremely high scores on stress and extremely high scores on well-being. What is the effect of these outliers on the correlation
Answer and explanation:
A negative correlation means a relationship between two variables whereby each variable affects the other such that an increase in one variable means a decrease in the other and vice versa. This is the situation with the correlation graph/scatter plot of Dr. Hotchkins: An increase in stress would cause a decrease in emotional well being and vice versa
An Outlier is a data point on the scatter plot that does not fall into the pattern of the correlation graph. From the above, 4 points are outliers: extremely high points on stress and emotional well being. These points would affect (increase or decrease) the correlation coefficient depending on where they fall in the pattern. In this case there are 4 outliers out of 60 data points and we know that the more outliers there are the more effect they have on the correlation coefficient and vice versa(also depending on where the outlier is on the scatter plot)
add: 7x+2y³-4xy,3x-2xy³+7xy and 2xy-5x+6y³
[tex]\\ \sf\longmapsto 7x + 2y {}^{3} - 4xy + 3x - 2xy {}^{3} + 7xy + 2xy - 5x + {6y}^{3} \\ \\ \sf\longmapsto 2y {}^{3} + 6 {y}^{3} - 2xy {}^{3 } + 7x + 3x - 5x - 4xy + 7xy + 2xy \\ \\ \sf\longmapsto 8y {}^{3} - 2xy {}^{3} + 5x + 5xy \\ \\ \sf\longmapsto 2y {}^{3} (4 - x) + 5x(1 + y)[/tex]
¿cuántas raíces cuadradas tiene el número 0?
Answer:
one
Step-by-step explanation:
Zero has one square root which is 0.
Negative numbers don't have real square roots since a square is either positive or 0.
*PLEASE ANSWER* What is the value of d if the volume of Prism f is 99 cubic units?
Answer:
d = 3.46 units
Step-by-step explanation:
The diagram is a rectangular prism.
volume of a rectangular prism = Length × width × height
height = 5.2 units
volume = 99 units³
length = 5.5 units
width = d
Now we need to find the width which is d
volume = L × w × h
99= 5.5 × d × 5.2
99 = 28.6d
then u divide both sides by 28.6
d = 99/28.6
d = 3.4615384615
d = 3.46 units
PLz mark brainliest!
Simplify the expression (x)^3(x^3y)^2
A) x^9y^2
B) -x^6y^2
C) x^5y^2
D) -x^9y^2
Answer:
A)
Step-by-step explanation:
[tex](a^{m})^{n} = a^{mn}\\\\x^{3}*(x^{3}*y^{2})^{2}=x^{3}*(x^{3})^{2}*(y)^{2}\\\\\\=x^{3}*x^{3*2}*y^{2}\\\\\\=x^{3}*x^{6}*y{2}\\\\\\=x^{3+6}*y^{2}\\=x^{9}y^{2}[/tex]
Please answer quickly
Answer:
answer what
Step-by-step explanation:
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PLS HELP ON THIS QUESTION I WILL MARK YOU BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
First we need the formula to solving a cone :
[tex]V=\pi r^2\frac{h}{3}[/tex]
We substitute pi as 3.14!
62.8 is the answer
Why?
3.14 x 5 squared x 12/3 is 62.8
Therefore the answer is 62.8
Let f (x) = x – 4 and g(x) = 6 - x
Evaluate g(f(10)).
G(f(10))
First solve f(x) by replacing x with 10:
F(x) = x-4 = 10-4 = 6
Now replace x in g(x) with 6
G(x) = 6-x = 6-6 = 0
So g(f(10)) = 0
Find the coordinates of the image of R (2, 1) after the translation (x, y) → (x, y − 5).
Answer:
(2,-4)
Step-by-step explanation:
We subtract 5 to the y-coordinate, so we have (2,-4)
Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U
Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
Find the 6th term in this geometric sequence?
Answer:
91.125
Step-by-step explanation:
Each term is multiplied by 1.5 to get the next term.
12,18,27,40.5, 60.75, 91.125
Hope that helped!!! k
Answer:
91.125
Step-by-step explanation:
We know that this is a geometric sequence. By definition, this means that each subsequent term divided by the previous one is a common ratio r.
Here, divide 18 by 12 to get:
18/12 = 3/2 = 1.5
Divide 27 by 18 to check if it's also 1.5:
27/18 = 3/2 = 1.5
Indeed, the common ratio is 1.5. Now, we simply multiply 27 by 1.5 to get the 4th term:
27 * 1.5 = 40.5
Multiply 40.5 by 1.5 to get the 5th term:
40.5 * 1.5 = 60.75
Finally, multiply 60.75 by 1.5 to get the 6th term:
60.75 * 1.5 = 91.125
Our answer is thus 91.125.
~ an aesthetics lover
What is the mode for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
10
12
13
11
Answer:
mateweew ans is 12
The mode is the value that appears most frequently in a data set.
and 12 repeats twice other once so anw is obv 12
Answer: 12
Step-by-step explanation:
Add this matrix to find the answer.
Answer:
[tex]\huge\boxed{Option \ 2:\left[\begin{array}{ccc}6&1\\1&5\end{array}\right]}[/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}1&0\\-1&3\end{array}\right] +\left[\begin{array}{ccc}5&1\\2&2\end{array}\right][/tex]
Adding both the corresponding elements
[tex]\left[\begin{array}{ccc}1+5&0+1\\-1+2&3+2\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&1\\1&5\end{array}\right][/tex]
Will give Brainliest, Please show work.
Answer:
Hi, there!!
Hope you mean the answers in the solution.
Hope it helps...
Answer:
Step-by-step explanation:
7)
JKLM is a isosceles trapezium.
KL // JM
∠K + ∠J = 180 {Co interior angles}
50 +∠J = 180
∠J = 180 - 50
∠J = 130
As it is isosceles, non parallel sides KJ = LM &
∠L = ∠K
∠L = 50
∠M = ∠J
∠M = 130
8)JKLM is a isosceles trapezium.
KL // JM
∠K + ∠J = 180 {Co interior angles}
100 +∠J = 180
∠J = 180 - 100
∠J = 80
As it is isosceles, non parallel sides KJ = LM &
∠L = ∠K
∠L = 100
∠M = ∠J
∠M = 80
hi im back pls help me :) i'll give brainliest
Answer:
b
Step-by-step explanation:
-10(x+5) with steps canvas
Answer:
[tex]\Large \boxed{-10x-50}[/tex]
Step-by-step explanation:
[tex]-10(x+5)[/tex]
Distribute -10 to the terms in the brackets.
[tex]-10(x)-10(5)[/tex]
[tex]-10x-50[/tex]
Answer: -10x - 50
Step-by-step explanation:
Distribute -10 to both terms.
-10 * x = -10x
-10 * 5 = -50
The equation now looks like this:
-10x - 50
You have nothing to simplify, so you're finished.
Hope this helps!
I need help with 6 and 7
Answer:
Step-by-step explanation:
6):
Take the small right triangle with the sides 25 and 7.
☆ The Pythagorian theorem ☆
Let x be the third side.
● 25^2 = x^2 + 7^2
Substract 7^2 from both sides
● 25^2 -7^2 = x^2 +7^2 -7^2
● x^2 = 25^2 -7^2
● x^2 = 576
● x = 24 inches
The third that we find is the half of the side of the square.
Multiply it by 2 and get the side of the square.
● 24 × 2 = 48 inches
The perimeter of the square is the side times 4.
● P = 48 × 4
● P = 192 inches
■■■■■■■■■■■■■■■■■■■■■■■■■■
7):
Both triangles are righr and they have a khown angle.
Start with the small one and calculte the third angle.
The sum of a triangle angles is 180°
Let B be the third angle.
● B = 180-(90+51) = 39°
That's equal to the second angle of the second's triangle.
So it's an AA similarity.
So:
● x/24 = 7/15
● x = (7/15)×24
● x = 11.2
Which distance measures 5 units?
W
х
Y
NO
-
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
the distance between points W and X
the distance between points X and Y
the distance between points X and Z
the distance between points Y and Z
The distance between points W and X is exactly 5 units.
Which distance measures 5 units?
To know this, we need to see between which pair of two points we have 5 units.
By looking at the number line, we can see that the pair of points that is 5 units apart is W and X.
We have:
W = -8X = -3Taking the difference, we get: X - W = -3 - (-8) = 5
If you want to learn more about distances:
https://brainly.com/question/7243416
#SPJ5
the base of a rectangle is three times as long as the height. of the perimeter is 64, what is the area of the rectangle
Answer: 192
Step-by-step explanation:
Use algebra
x + 3x + x + 3x = 64 (perimeter)
Combine Like Terms
8x = 64
x = 8
8 + 24 + 8 + 24 = 64
24/8 = 3
Which is the graph of f(x) = -(x + 3)(x + 1)?
8
4
22
2
2
2
-8
6
х
2
6 4
6
8
-6
4
X
2
-2
-2
19
2
Answer:
It's the second option
Step-by-step explanation:
Graph for -(x+3)(x+1)
The graph of f(x) = -(x + 3)(x + 1) is the option B.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = -(x + 3)(x + 1)
Simplifying,
f(x) = - (x² + 3x + x + 3)
f(x) = -x² - 4x - 3
This is a quadratic function, the graph of which is a parabola.
Leading coefficient is negative, so the parabola opens downward.
Options are either A or B.
x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.
Here x coordinate = -(-4) / (2 × -1) = -2
The vertex of first graph is (2, 1) and that of second graph is (-2, 1).
The correct option is second graph.
Hence the second graph is the graph of the given function.
Learn more about Quadratic functions here :
https://brainly.com/question/12723502
#SPJ7
4(6a + 2b^2) - 1/3 (27b^2 - 15a)
if a = -2 and b = 3
Answer:
[tex]4(6a + 2b^2) - 1/3 (27b^2 - 15a)[/tex]
a = -2
b = 3
[tex]4\left(6\left(-2\right)+2^2\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]
Follow the PEMDAS order of operations:-
ParenthesesExponentsMultiplication or DivisionAddition or Subtraction[tex]4\left(6\left(-2\right)+2^2\right)[/tex]
calculate within Parentheses
[tex]6\left(-2\right)+2^2[/tex]
[tex]2^{2} =4[/tex]
[tex]6(-2)=-12[/tex]
Add:-
[tex]-12+4=-8[/tex]
[tex]4\left(-8\right)-1/3\left(27\left(3\right)^2-15\left(-2\right)\right)[/tex]
calculate within Parentheses:-
[tex]27\left(3\right)^2-15\left(-2\right)[/tex]
[tex](3)^{2} =9[/tex]
[tex]27*9=243[/tex]
[tex]243-15\left(-2\right)[/tex]
[tex]15(-2)=-30[/tex]
[tex]243-\left(-30\right)[/tex]
[tex]=273[/tex]
[tex]4\left(-8\right)-1/3\cdot \:273[/tex]
Multiply:-
[tex]4\left(-8\right)=-32[/tex]
[tex]-32-1/3\cdot \:273[/tex]
[tex]1/3*273=91[/tex]
[tex]=-32-91[/tex]
[tex]=-123[/tex]
OAmalOHopeO
pls help pls pls pls pls
Answer:
B' - (3,1)
C' - (3,8)
D' - (6,-1)
Step-by-step explanation:
Solve equation show all steps what 2x-3x+5=18
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
[tex]2x-3x+5=18[/tex]
Step 1: Simplify both sides of the equation.
[tex]2x-3x+5=18\\2x + -3x + 5 = 18[/tex]
[tex]( 2x + -3x ) + ( 5) = 18[/tex] (Combine Like Terms)
[tex]-x + 5 = 18\\-x + 5 = 18[/tex]
Step 2: Subtract 5 from both sides.
[tex]-x + 5 - 5 = 18 - 5 \\-x = 13[/tex]
Step 3: Divide both sides by -1.
[tex]\frac{-x}{-1} = \frac{13}{-1} \\x = -13[/tex]
Answer : [tex]\boxed {x = -13}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
[tex] \boxed{ \bold{ \mathsf{ \purple{x = - 13}}}}[/tex]Step-by-step explanation:
[tex] \mathsf{2x - 3x + 5 = 18}[/tex]
Collect like terms
[tex] \mathsf{ - x + 5 = 18}[/tex]
Move constant to R.H.S and change it's sign
[tex] \mathsf{ - x = 18 - 5} [/tex]
Calculate the difference
[tex] - x = 13[/tex]
Change the signs on both sides of the equation
[tex] \mathsf{x = - 13}[/tex]
---------------------------------------------------------------
[tex] \blue{ \mathsf{verification}}[/tex]
[tex] \mathsf{LHS \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: RHS}[/tex]
[tex] \mathsf{2x - 3x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18}[/tex]
[tex] \mathsf{ = 2 \times ( - 13) - 3 \times ( - 13) + 5}[/tex]
[tex] \mathsf{ - 26 + 39 + 5}[/tex]
[tex] \mathsf{ = 13 + 5}[/tex]
[tex] = 18[/tex]
Thus, LHS = RHS
hope I helped!
Best regards!
Which statement about this system of equations is true?
5
A.
The system has no solution.
The system has a unique solution at (0,0).
B.
C. The system has a unique solution at (0,3).
D. The system has infinitely many solutions.
Answer:
A
Step-by-step explanation:
No solution because the line will never intersect each other (cuz the gradient is the same)
I need help ASAP!!Please explain how to do the problem
Answer:
The first option, (x-3)^2 + (y+4)^2 = 1
Step-by-step explanation:
The circle formula for graphing is (x-h)^2 + (y-v)^2 = r^2 with the center of the circle being (h,v) and the radius being r. With that said, we just plug in the values we see on the graph, which is h = 3, v = -4, and r = 1. Once we do some simplifying, we would get the equation of (x-3)^2 + (y+4)^2 = 1, which is the first option!
I hope this helped! :D
A line that contains the points (5, −3) and (7, 3) has a slope, m, that equals
Answer:
m = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (7, 3)
m = [tex]\frac{3+3}{7-5}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Write and solve an equation to answer the question. How many people must attend the third show so that the average attendance per show is 3000?
Answer:
3250
Step-by-step explanation:
so for the first and 2nd show, the attendance is 2580 and 2920.
The average of both these numbers is 2750
the if the third show had 3000 people, the average attendance would only be 2875.
We need the average number to be 3000.
2750 is 250 less than 3000, so the other number must be 250 more.
3250 is how many people should go to the last show.
=====================================
Explanation:
We have 2580 people attend the first show and 2920 attend the second. So far, that's 2580+2920 = 5500 people. Add on another x people to get 5500+x, which represents the sum of all three days attendance figures. Divide this sum by 3 to get the average attendance
average attendance = (sum of individual attendance values)/(number of days)
average attendance = (5500+x)/3
So that's why (5500+x)/3 goes in the first box. The parenthesis are important to ensure that you divide all of "5500+x" over 3. If you just wrote 5500+x/3, then the computer would think you just want to divide x only over 3.
----------------
We set (5500+x)/3 equal to 3000 as we want the average of the three days to be 3000
(5500+x)/3 = 3000
5500+x = 3*3000
5500+x = 9000
x = 9000-5500
x = 3500
We need 3500 people to show up on day 3 so that the average of all three days is 3000.
3500 goes in the second box.
----------------
Check:
The figures for the three days are 2580, 2920, and 3500
They add to 2580+2920+3500 = 9000
Which divides to 9000/3 = 3000, which is the average we're after. So the answer is confirmed.
If p varies directly with T and p =105 when T=400.Find p when T =500
Answer:
p = 131.25Step-by-step explanation:
The variation p varies directly with T is written as
p = kT
where k is the constant of proportionality
To find p when T =500 we must first find the formula for the variation
That's
when p = 105 and T = 400
105 = 400k
Divide both sides by 400
[tex]k = \frac{21}{80} [/tex]So the formula for the variation is
[tex]p = \frac{21}{80} T[/tex]when
T = 500
Substitute it into the above formula
That's
[tex]p = \frac{21}{80} \times 500[/tex]
Simplify
The final answer is
p = 131.25Hope this helps you