Answer:
left is a very good approximately .9 POSITIVE correlation
right is a very good approximately -.9 NEGATIVE correlation
Step-by-step explanation:
What is the value of 1/4 {38-14} + 3^3 divided by 9
Answer:
9
Step-by-step explanation:
See the picture for steps :)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{1}{4} (38 -14) + \dfrac{3^3}{9}}[/tex]
[tex]\mathsf{38-14=\bf 24}[/tex]
[tex]\mathsf{= \ \dfrac{1}{4} (24)+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{\dfrac{1}{4}(24)= \bf 6}[/tex]
[tex]\mathsf{= \ 6+\dfrac{3^3}{9}}[/tex]
[tex]\mathsf{3^3}\\\mathsf{= 3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= \bf 27}[/tex]
[tex]\mathsf{= \ 6+\dfrac{27}{9}}[/tex]
[tex]\mathsf{\dfrac{27}{9}}\\\mathsf{= 27\div9}\\\mathsf{= \bf 3}[/tex]
[tex]\mathsf{= \ 6 + 3}[/tex]
[tex]\mathsf{= \bf 9}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf 9}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can someone help me out please
Answer:
12
Step-by-step explanation:
vzhhhdhx
gxbdhd
hdhdhx
hjcjc
Answer:
Step-by-step explanation:
pi = 3.14
r = 11 yds
Formula
Area = 4 pi r^2
Solution
Area = 4 * 3.14 * 11 ^2
Area = 1519.76
Area = 1519.8 rounded to the nearest 1/10
Answer my question im being timed Please!!
[ (10)(x^3)(y^2) / (5)(x^-3)(y^4) ]^-3
[ (2)(x^3)(y^2) / (x^-3)(y^4) ]^-3
[ (2)(x^6)(y^2) / (y^4) }^-3
[ (2)(x^6)(y^-2) ]^-3
(2^-3)(x^-18)(y^6)
---Not simplified (contains negative exponents)
(1/8)(x^-18)(y^6)
---Fully simplified
(y^6) / (8)(x^18)
Hope this helps!
2. In what ratio does the point (5, 4) divide the given line joining the points (2,1) and (7,6)
Answer:
3/2
Step-by-step explanation:
Let it be
C (5;4) , A (2;1) ; B(7;6)
Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)
Use the formula xc=(m*xb+n*xa)/ (m+n)
5=(m*7+2n)/(m+n)
5m+5n= 7m+2n
2m=3n
m/n=3/2
PLEASE ANSWER ASAP
Write an inequality and show on a number line all numbers: greater than (-3) but less than or equal to 3
Answer:
The inequality is -3<x<3
Step-by-step explanation:
(-3,3)
Whats the answer i got 1 minute left
Answer:
Step-by-step explanation:
Answer:
[tex]-\frac{3p^8}{4q^3}[/tex]
Step-by-step explanation:
One is given the following expression,
[tex]\frac{15p^-^4q^-^6}{-20p^-^1^2q^-^3}[/tex]
Since (15) and (-20) are both divisible by (5), one can divide both terms by (5) to simplify it.
[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]
Now bring all of the terms with a negative exponent to the numerator. Multiply the exponents by (-1), then add them to the exponents of the like term in the numerator. Simplify the resulting exponents
[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]
[tex]\frac{3p^-^4^+^(^-^1^)^(^-^1^2^)q^-^6^+^(^-^1^)^(^-^3^)}{-4}[/tex]
[tex]\frac{3p^-^4^+^1^2q^-^6^+^3}{-4}[/tex]
[tex]\frac{3p^8q^-^3}{-4}[/tex]
Rewrite the fraction such that there are no negative exponents. Remember the rule, when bringing a number from the numerator to the denominator and back, multiply the exponent of the number by (-1). One can only switch numbers between the numerator and the denominator when all operations are multiplication or division.
[tex]\frac{3p^8q^-^3}{-4}[/tex]
[tex]-\frac{3p^8}{4q^3}[/tex]
10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number
Answer:
11
Step-by-step explanation:
To calculate the mean you add all the numbers and divide by the number of numbers. There are 4 numbers in this set so we will divide by 4.
Let x be the unknown number,
(10+4+7+x)/4=8(mean)
To solve for x, we first mutliply both sides by 4.
To simplify the left side we can add 10+4+7 and get 21 where now our equation is 21+x=32. Subtract 21 on both sides and you will get 11 which is our answer.
Plug-in 11 and solve for the mean to verify where we do indeed get 8 as the mean.
what are examples of like terms
Answer:
7x and 2x. 3x^2 and -7x^2.
Step-by-step explanation:
7x and 2x both have x. 3x^2 and -7x^2 both have x^2.
If f(x) = 3x + 10x and g(x) = 2x - 4, find (f- g)(x).
O A. 15x-4
B. 3X + 8x+4
O c. 3* – 8x+4
D. 3% + 12x-4
Answer:
B. 3ˣ + 8x + 4
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3ˣ + 10x
g(x) = 2x - 4
Step 2: Find
Substitute in function values: (f - g)(x) = 3ˣ + 10x - (2x - 4)[Distributive Property] Distribute negative: (f - g)(x) = 3ˣ + 10x - 2x + 4Combine like terms: (f - g)(x) = 3ˣ + 8x + 4Answer:
3^x+8x+4
Step-by-step explanation:
f(x) = 3^x + 10x
g(x) = 2x - 4
(f- g)(x)=3^x + 10x - (2x - 4)
Distribute the minus sign
(f- g)(x)=3^x + 10x - 2x + 4
Combine like terms
3^x+8x+4
two similar buckets hold 13/1/2 and 4 litres respectively..find the ratio of their bucket and the height of the larger bucket is 36cm find the height of the smaller bucket
Answer:
[tex](a)\ Ratio = 13.5 : 4[/tex]
(b) The height of the smaller bucket is 10.7
Step-by-step explanation:
Given
[tex]V_L = 13\frac{1}{2}[/tex]
[tex]V_S = 4[/tex]
[tex]H_L = 36cm[/tex]
Solving (a): The ratios
This is represented as:
[tex]Ratio = V_L : V_S[/tex]
So, we have:
[tex]Ratio = 13\frac{1}{2} : 4[/tex]
Express as decimal
[tex]Ratio = 13.5 : 4[/tex]
Solving (b): The height of the smaller bucket
The ratio of the heights is:
[tex]Ratio = H_L : H_S[/tex]
So, we have:
[tex]13.5 : 4 = H_L : H_S[/tex]
Substitute known value
[tex]13.5 : 4 = 36 : H_S[/tex]
Express as fraction
[tex]4/13.5 = H_S/36[/tex]
Multiply by 36
[tex]36 * 4/13.5 = H_S[/tex]
[tex]10.7 = H_S[/tex]
[tex]H_S = 10.7[/tex]
Can someone help me out
Answer:
17.6 mi
Step-by-step explanation:
I know you are using Windows 10 OS or something because of the cortana thingie and task bar option, and you can do Windows Key + Shift + S to take a screenshot.
This gives much better quality than a third party device and lets us evade the terrible pixel green line rippley thingies that form. Plus it is more efficient and faster.
Circumference formula is Diameter * Pi.
I assume the 5.6 mi. is the diameter since the line segment is going completely through the circle.
Pi is something of the lines of 3.141592653 blah blah blah and goes on forever, but the point is, we take it to be 3.14 when doing circle stuff so we don't die from old age trying to figure out a question of a 1 x 1 circle.
So 5.6 * 3.14 is 17.584 which is your answer.
It says to round to the nearest tenth though, so you round and get
17.6 since the 5 in 17.584 is the tenths place, the 8 is the hundredths place, the 4 is the thousandths place and so on and so forth.
(The " * " symbol represents multiplication and is in use all the time when going to higher levels of education.)
Does anyone know how to do b
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then
[tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex]
find the ratio of Rs 20 and 900
Answer:
1 : 45
Step-by-step explanation:
Given
Rs 20 and 900 ( divide both by 20 )
= 1 : 45
In a parallelogram ABCD, prove that (AC)2 + (BD)2= 2[(AB)? +(BC)?].
Answer:
AC² + BD² = 2[AB² + BC²]
Step-by-step explanation:
Let the parallelogram be ABCD with sides AB, BC, CD and AD. It also has diagonals AC and BD.
Since the diagonals are perpendicular and bisect each other at their mid-point, and P is the point of intersection of the diagonals, we have that AP = AC/2, PC = AC/2, PB = BD/2 and PD = BD/2.
Since APB forms a right angled triangles with length of sides AP, PB and AB where AB is the hypotenuse side, using Pythagoras' theorem, we have
AB² = AP² + PB²
Since AP = AC/2 and PB = BD/2, we have
AB² = (AC/2)² + (BD/2)²
AB² = AC²/4 + BD²/4 (1)
Also, BPC forms a right angled triangles with length of sides BP, PC and BC where BC is the hypotenuse side, using Pythagoras' theorem, we have
BC² = BP² + PC²
Since PC = AC/2 and PB = BD/2, we have
BC² = (AC/2)² + (BD/2)²
BC² = AC²/4 + BD²/4 (2)
Adding equations (1) and (2), we have
AB² = AC²/4 + BD²/4 (1)
+
BC² = AC²/4 + BD²/4 (2)
AB² + BC² = AC²/4 + BD²/4 + AC²/4 + BD²/4
AB² + BC² = AC²/2 + BD²/2
Multiplying through by 2, we have
2[AB² + BC²] = AC² + BD²
So, AC² + BD² = 2[AB² + BC²] which proves our expression.
Anybody help please ! Step by step
Your answer is -6.
Hope my answer is helpful to you. Stay blessed .
[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]
Express 3 objects as a percentage of 1 dozen
show working.
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
Tha length of a side of equilateral traingle is give below. find the perimeter of traingles
i. l=4cm
ii. 5.5 cm
Answer:
i. 12cm
ii. 16.5cm
Step-by-step explanation:
The side lengths on an equilateral triangle are all equal to each other. So if one side is given we can find the perimeter of the triangle by multiplying one of the sides by 3.
4*3=12
5.5*3=16.5
Find the area of the triangle (white)
Step-by-step explanation:
something is missing here.
it is not clear, what exactly is 27 km. only the side of the orange triangle ? or the whole distance to the 90 degree angle ?
but in both cases that is not enough. we need some information about the split ratio of the orange side and the white side. it some angles in the graphic.
otherwise I can simply keep the given sides with their lengths but freely move the line between the orange and white triangles. there are infinite many solutions.
is it meant to be an isoceles triangle (2 equal sides) ? it certainly does not look like it, but that would be the only case where the given information can lead to a solution.
under that assumption the baseline of the white triangle is also 27 km.
the first side is 9km.
the second side we get via Pythagoras :
27² = 9² + x²
729 = 81 + x²
648 = x²
x = 25.46 km
now, since this is a right-angled triangle we can (especially to calculate the area) also consider the two sides enclosing the 90 degree angle as baseline and height.
the area of a triangle is baseline×height/2
area = 9×25.46/2 = 114.55 km²
The two-way table shows the number of boys and girls in the school band and choir. Is there a greater percentage of girls in the school band or in the choir? Explain.
Answer:
the school band
Step-by-step explanation:
the band, the band has a percentage of 53.85...,which is (14/26)x100, and the choir has 35.71% which is (5/14)x100
determine the value of the expression below:
X=1
Y=-2
Find the value of this expression:
y/3x-x
Answer:
Step-by-step explanation:
-2/3(1)-1 = -2/3 - 1 = - 5/3
Answ
Step-by-step explanation:
-2/2 =-1 nha
Help anyone can help me do this question,I will mark brainlest.
Answer:
but what to do in do I have to find the area of the particular Region or a length of that
A conical lid’s height is 2 centimeters less than the radius, x, of its base. If the lid is made of 25π cubic centimeters of clay, the equation x3 +? x2 +? = 0 can be used to find that the radius of lid’s base is centimeters.
The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
The formula for calculating the volume of the conical lid's is expressed as
[tex]V = \frac{1}{3} \pi r^2h[/tex] where:
r is the radius
h is the height
v is the volume
Given the following
r = x
If the conical lid’s height is 2 centimeters less than the radius, x, then;
h = x - 2
V = 25π cm³
Substitute the given values into the formula as shown:
[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]
Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
77 yd
36 yd
What is the length of the hypotenuse?
C =
yards
Answer:
c = 85 yd
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
c² = 77² + 36² = 5929 + 1296 = 7225 ( take square root of both sides )
c = [tex]\sqrt{7225}[/tex] = 85
Answer:
[tex]85yd[/tex]
Step-by-step explanation:
According to PYTHAGORAS Theorem,
[tex] {c}^{2} = {77}^{2} + {36}^{2} \\ {c}^{2} = 5929 + 1296 \\ {c}^{2} = 7225 \\ c = \sqrt{7225} \\ c= 85yd[/tex]
help pls and thank you :)
Answer: x+2y+6=0
Option 3
Explanation:
y = (-x-6)/2
2y = -x-6
x+2y+6=0
Must click thanks and mark brainliest
Cos 600 degrees solved by double angle formula (20 points)
show work please :)))
Answer:
[tex] \rm\cos({600}^{ \circ} ) =-1/2 [/tex]
Step-by-step explanation:
we would like to solve the following using double-angle formula:
[tex] \displaystyle \cos( {600}^{ \circ} ) [/tex]
there're 4 double Angle formulas of cos function which are given by:
[tex] \displaystyle \cos(2 \theta) = \begin{cases} i)\cos^{2} ( \theta) - { \sin}^{2}( \theta) \\ii) 2 { \cos}^{2}( \theta) - 1 \\iii) 1 - { \sin}^{2} \theta \\ iv)\dfrac{1 - { \tan}^{2} \theta}{1 + { \tan}^{2} \theta } \end{cases}[/tex]
since the question doesn't allude which one we need to utilize utilize so I would like to apply the second one, therefore
step-1: assign variables
to do so rewrite the given function:
[tex] \displaystyle \cos( {2(300)}^{ \circ} ) [/tex]
so,
[tex] \theta = {300}^{ \circ} [/tex]Step-2: substitute:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2 \cos ^{2} {300}^{ \circ} - 1[/tex]
recall unit circle thus cos300 is ½:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2 \left( \dfrac{1}{2} \right)^2 - 1[/tex]
simplify square:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = 2\cdot \dfrac{1}{4} - 1[/tex]
reduce fraction:
[tex] \rm\cos(2 \cdot {300}^{ \circ} ) = \dfrac{1}{2} - 1[/tex]
simplify substraction and hence,
[tex] \rm\cos({600}^{ \circ} ) = \boxed{-\frac{1}{2}}[/tex]
solve the inequality 4x ( 4 - x ) > 7
Answer:
First, subtract
7
from each side of the inequality to isolate the
x
term while keeping the inequality balanced:
1
4
x
+
7
−
7
>
0
−
7
1
4
x
+
0
>
−
7
1
4
x
>
−
7
Now, multiply each side of the inequality by
4
to solve for
x
while keeping the inequality balanced:
4
×
1
4
x
>
4
×
−
7
4
4
x
>
−
28
1
x
>
−
28
x
>
−
28
Answer:
1/2 < x < 7/2
Step-by-step explanation:
First, simplify then put everything on one side: 16x -4x^2 -7 > 0
Then use the quadratic formula to factor and find out x.
For a quadratic equation in the form of ax^2 + bx + c = 0, use this formula:
X (1,2) = (-b ± √(b^2 -4ac))/2a
(The X (1,2) part means that there are 2 solutions for x)
In this case, a is -4, b is 16, and c is -7. By using this formula, you get that x=1/2, x=7/2
Find the length of the side labels x round intermediate values to the nearest tenth
Answer:
x = 35.0
Step-by-step explanation:
the height is 26√3 since the left one is a 30-60-90 triangle
so to find x
cos(39) = x/26√3
or, x = 26√3×cos(39)
or, x = 35.0
Answered by GAUTHMATH
You hit a tennis ball with an initial vertical velocity of of 10 ms The ball leaves the tennis racket 2 meters above the ground How much time does your opponent have before the ball hits the ground on the other side of the net
Answer:
1.02secs
Step-by-step explanation:
Using the equation of motion
v = u+at
Since the ball moves upward then:
a = -g
Substitute into the formula
v = u-gt
Given the following
Initial velocity u = 10m/s
Final velocity v = 0m/s (on the ground)
g = 9.8m/s²
Required
Time t
Substitute the given values into the formula
0 = 10-9.8t
-9.8t = -10
t = 10/9.8
t = 1.02secs
Hence your opponent have 1.02secs
Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val
Answer:
h=17.3 A=173
Step-by-step explanation:
Calculator
Answer:
height = 17.3 mm
area = 173 mm²
Step-by-step explanation:
all three sides are of the same length (20 mm).
so, the height actually splits the baseline in half
(2 × 10 mm) while hitting it at a 90 degree angle.
so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.
c² = a² + b²
20² = 10² + height²
400 = 100 + height²
300 = height²
height = 17.3 mm
the area of the main triangle is baseline (20) times height divided by 2.
so,
At = 20×17.3/2 = 10×17.3 = 173 mm²
Find the missing segment in the image below
Answer:
again it has a ratio
Step-by-step explanation:
follow this steps.
firstly look at the side and you got the ratio 24/16
secondly write 42/? and multiply by 24/16
the answer is ?*24=42*16 and divide it by 8 and write again ?*3=42*2 and finally the answer is ?=28