[tex]~~~~(3x-4)^2 = 22\\\\\implies 3x-4 = \pm\sqrt{22}\\\\\implies 3x = 4 \pm\sqrt{22}\\\\\implies x = \dfrac{4\pm \sqrt{22}}3 \\\\\text{Hence,}~~ x = \dfrac{4+ \sqrt{22}}3~~ \text{and}~~ x = \dfrac{4-\sqrt{22}}3[/tex]
If n is an even integer, which of the following is not necessarily even?
A.2n
B.n/2
C.3n
D. n^2
E.n^2/2
Answer:
B
Step-by-step explanation:
imagine if n=2 so B equal to 1
please please please help meee
Answer:
-5 ≤ x ≤ 5
Step-by-step explanation:
If x^2 = 25
x = -5 or 5
BUT inequality
IF x is POSITIVE 5
You can square root both sides
x ≤ 5
IF x is NEGATIVE 5
You can divide both sides by -5
BUT switch inequality sign
This is because basically dividing both sides by negative
x ≥ -5
FINAL INEQUALITY
-5 ≤ x ≤ 5
MATH
NATION
Which of the following statements are true? Select all that apply.
The correlation coefficient gives us information as to how strong the linear association is between two qualitative variables ?
Answer:
1,3
Step-by-step explanation:
Drake and Evan are teammates on a high school swim team drake swim 312. 63 m during practice evan swim exactly 1/3 times farther than drake exactly how far did Evan swim?
Answer:
416.84 m
Step-by-step explanation:
First Step:
Multiple 312.63 by 1/3
312.63*1/3=104.21
Second Step:
Add 312.63 to 104.21
312.63+104.21=416.84
[tex]✤ \: \underline{ \underline{ \frak{Understanding~the~question : - }}} \\ \\ [/tex]
In this question, we have been provided that Evan swims 1/3 times farther than Drake, thus, the total distance covered by Evan will be equal to the sum of 312.63 m and the 1/3rd of 312.63 m. Thus, at first we will calculate the one third of the distance and then add them up to get our final answer.
⠀
[tex]✤ \: \underline{ \underline{ \frak{Given:-}}} \\ \\ [/tex]
There are two teammates in a high school teamDrake swims 312.63 m Evan swims 1/3 times farther than Drake⠀
[tex]✤ \: \underline{ \underline{ \frak{To~Find :-}}} \\ \\ [/tex]
The distance travelled ( swim ) by Evan⠀
[tex]✤ \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ [/tex]
Calculating the one - third,
[tex] \sf \longrightarrow \dfrac{1}{3} \: of \: 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{3} \times 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{ \cancel3} \times \cancel{312.63} \: m \: \\ \\ \\ \sf \longrightarrow 1 \times 104.21 \: m \: \: \\ \\ \\ \sf \longrightarrow 104.21 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus,
⠀
[tex] \sf \longrightarrow Distance~covered~by~Evan =312.63 \: m + 104.21 \: m \\ \\ \\ \sf \longrightarrow Distance~covered~by~Evan =416.84 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the distance covered by Evan is 416.84 m.
⠀
[tex]\underline{\rule{227pt}{2pt}} \\ \\ [/tex]
jorden linvested $800 in a savings account. The intest rate id 6%per. Find the simple intrest earned in 3 years. then find the total prinabal plus interst
Answer:
interest: $144principal plus interest: $944Step-by-step explanation:
The amount of interest is found using the simple interest formula. That is added to the principal to find the total account balance.
__
InterestI = Prt . . . . . P = principal, r = annual rate, t = number of years
I = $800·0.06·3 = $144
The simple interest earned in 3 years is $144.
__
Principal plus interestAdding that to the principal gives ...
$800 +144 = $944
The total principal plus interest is $944.
1323 flowers, each vase has to have exactly 8 flowers, how many vase
Answer:
Step-by-step solving
Step-by-step explanation:
Looking at this problem you are going to need to divide the numbers already given to firgure out how many flower vases fit exactly 8 flowers-
1323 divided by 8= the answer I got was a decimal(165.375) you could always round or re-look at the problem, but you can't have a half of a vase so you would need to round to a whole number. Maybe insert a picture of the problem just incase you might of not added some things in the question. hope this helps.
Complete the equation
2/8= _ divided by _
Answer:
2 divided by 8
Step-by-step explanation:
2/8
/ means division sign
Use the drop down-menus to complete the sentences. when parallel light rays exit a concave lens, they . when parallel light rays exit a convex lens, they .
Answer:
When parallel light rays exit a concave lens, they
✔ diverge
.
When parallel light rays exit a convex lens, they
✔ converge
.
Step-by-step explanation:
The requried, parallel light rays diverge when passing through a concave lens, and converge when passing through a convex lens.
What is reformation?Refraction is the bending of light as it passes from one medium to another medium of different optical densities, such as from air to water or from air to a glass lens.
When parallel light rays exit a concave lens, they diverge as the concave lens is thinner at the center and thicker at the edges. This shape causes the light rays to bend away from the optical axis and spread apart from each other, resulting in a virtual image that is smaller than the object.
On the other hand, when parallel light rays exit a convex lens, they converge towards a focal point as the lens is thicker at the center and thinner at the edges. This shape causes the light rays to bend towards the optical axis and meet at a focal point, resulting in a real image that is inverted and can be larger or smaller than the object depending on the distance of the object from the lens.
Therefore, the behavior of parallel light rays upon exiting concave and convex lenses is quite different due to their distinct shapes and curvatures, resulting in opposite effects on the direction of light rays and the formation of images.
Learn more about refraction here:
https://brainly.com/question/14760207
#SPJ5
what is 55-22 asap I USED MY HANDS BUT -_-
Answer:
33 there you go
Step-by-step explanation:
What is the perimeter of the parallelogram?
Please help! Will mark brainlyest.
Answer:
58
Step-by-step explanation:
B=base
A=side
X=2(a+b)=2·(13+16)=58
Step-by-step explanation:
58 maybe coz I got 58 so??
Please help!! Will mark brainlyest.
Select the correct answer from each drop-down menu. using the distributive property to factorize the equation 3x2 24x = 0, you get . the solution of the equation is .
Using the distributive property to factorize the equation 3x² + 24x = 0, you get 3x(x + 8) = 0 and the solution of the equation is x = -8
How to factorize the expression?The expression is given as:
3x² + 24x = 0
Factor out 3x
3x(x + 8) = 0
Divide both sides by 3x
x + 8 = 0
Subtract 8 from both sides
x = -8
Hence, the solution of the equation is x = -8
Read more about factorized expressions at:
https://brainly.com/question/7438300
Answer:
3x(x + 8) = 0 and x = -8
Step-by-step explanation:
It was correct for me
In money in a savings account earned 8.5% intrest per annum, how much interest would be earned on $200.00 over two years?
Answer:
$1305.91
Step-by-step explanation:
To solve this, we can use the geometric sequence formula
[tex]\alpha _n=a_1*r^n^-^1[/tex]
If we plug in our values we get [tex]\alpha _n=200*1.085^2^3[/tex]
Thus, leaving us with 1305.91
Hope this helps
lol
Name:
Unit 10: Circles
Date:
Per
Homework 9: Standard Form of a Circle.
** This is a 2-page document! **
Directions: Graph each circle and identify its center and radius.
1. (7-6) + (x - 1) = 9
2. (x-2) + ( + 3) = 36
I
do
Furn
ѕ соmn
Center:
Center:
st ccm
en
Radius:
Radius:
M
3.8+(+2) - 64
4. (x + 4)' +(3-5) = 25
Center
Center
The centers and radius for the equations are:
1) (1, 6) and radius 32) (2, -3) and radius 63) (-4, 5) and radius 5And the circles are in the graph below.
How to identify the center and radius of a circle?
A general circle equation centered at the point (a, b), with a radius of R, is written as:
(x - a)^2 + (y - b)^2 = R^2
Then for the given equations we have:
1) (y-6)^2 + (x - 1)^2 = 9
So the center is at (1, 6) and the radius is 3.
2) (x-2)^2 + (y + 3)^2 = 36 = 6^2
So the center is at (2, -3) and the radius is 6.
3) (x + 4)^2 +(y-5)^2 = 25 = 5^2
So the center is at (-4, 5) and the radius is 5.
The graphs of the 3 circles can be seen below. Green is the first circle, blue is the second circle, and red is the last circle.
If you want to learn more about circles, you can read:
https://brainly.com/question/1559324
Answer:
Step-by-step explanation:
What is the value of x?
10
X
8
Answer:
ans = 6
Step-by-step explanation:
using pythoras theorem:
Hyp^2 = Opp^2 + Adj^2
10^2 = x^2 + 8^2
100 = x^2 + 64
x^2 = 100 - 64
x^2 = 36
x = √36
x = 6.
Hope this helps .
Scientists have determined that the amount of carbon dioxide in the atmosphere can be modeled by the equation y = 2x + 368, where x is the number of years since the turn of the century and y is the amount of carbon dioxide in parts per million. Which of these statements are correct according to the model? Select all that apply.
A Every year the amount of carbon dioxide in the atmosphere increases by 2 parts per million.
B Every 2 years the amount of carbon dioxide in the atmosphere increases by 1 part per million.
C 10 years from now there will be 5 more parts per million of carbon dioxide in the atmosphere than there are now.
D 10 years from now there will be 20 more parts per million of carbon dioxide in the atmosphere than there are now.
E 10 years from now there will be 373 parts per million of carbon dioxide in the atmosphere.
F 10 years from now there will be 388 parts per million of carbon dioxide in the atmosphere.
Answer:
A and D
Step-by-step explanation:
A true
B false
C false
D true
E false
F false ==> 10 years from now is 32 years since turn of century = x
there will be 2 (32) + 388 = 452 ppm
Ashley's ladder is 1.85 meters high. what is the height in centimeters, of Ashley's ladder
Answer:
185cm
Step-by-step explanation:
Answer:
185 cm
Fun Fact : my name is Ashley
7) Mofor invests $3,101 in a savings account
with a fixed annual interest rate
compounded 2 times per year. After 6
years, the balance reaches $3. 932. 82.
What is the interest rate of the account?
Answer:
4%
Step-by-step explanation:
[tex]A = P(1+r/n)^{nt}[/tex]
A = final amount
P = initial amount
r = interest rate per time period
n = number of times compounded per time period
t = number of time period
A = 3932.82
r = what we want to find
n = 2
t = 6
[tex]A = P(1+r/n)^{nt}\\3932.82 = 3101(1+r/2)^{12}[/tex]
divide both sides by 3101 to isolate the exponent and its parts
[tex]3932.82/3101 = (1+r/2)^{12}[/tex]
put both sides to the power of (1/12) to help isolate the variable
[tex](3932.82/3101)^{1/12}= (1+r/2)[/tex]
subtract 1 from both sides to isolate the variable and its coefficient
[tex](3932.82/3101)^{1/12}-1= (r/2)[/tex]
multiply both sides by 2 to get r
[tex]((3932.82/3101)^{1/12}-1) * 2= r[/tex]
r ≈ 0.04 = 4%
A dog is chained to a pole. If the dog can run within an area of 380 ft.², how long is the chain?
ty if you could help :)
Answer:
The chain is around 11 feet in length.
Step-by-step explanation:
Area of a circle = π × r²
380 ft² = π × r²
121 ft² = r²
11 ft = r
I NEED THAT ANSWER ASAP
Answer:
y=-4x-7
Step-by-step explanation:
remember the equation y=mx+b, where the slope is the m along with the x because it is an ever changing variable, and b is being the y intercept, that basically gives the answer.
2 . Using the slope-intercept form of a line, find the equation of the line with slope and y-intercept-2. Then graph the line on the grid provided and explain how you determined your graph
Answer:
see below
Step-by-step explanation:
slope intercept form slope = -2 y axis intercept = -2
y = -2x - 2 to graph this pick two values of x say -3 and + 2
plug these values into the equation to find the corresponding y values, plot the points and then draw a line connecting them
Which graph represents f(x)=4sin(2πx)?
The function f(x)=4sin(2πx) is a sinusoidal function
The graph of the function f(x)=4sin(2πx) is graph (c)
How to determine the graph of the function f(x)=4sin(2πx)?The parent function of a sine function is
f(x) = sin(x)
The function f(x)=4sin(2πx) implies that the parent function f(x) = sin(x) has been horizontally and vertically stretched
So, the graph of the function f(x)=4sin(2πx) would have a higher amplitude and shorter period than its parent function
Hence, the graph of the function f(x)=4sin(2πx) is graph (c)
Read more about function transformation at:
https://brainly.com/question/4289712
7x-9=803 solve for x and x only
Answer:
116
Step-by-step explanation:
7x-9=803
(add 9 to both sides)
7x=812
(divide by 7)
x=116
The product of two consecutive positive integer is 306. We need to find the Integers.
Hope you guys are help me.
Answer:
Let the given set of integers be n and (n+1)
n(n+1)=306
n to the power square +n−306=0
(n+17)(n−16)=0
Therefore, n=16 and integers are 16 and 17.
Answer:
17, 18
Explanation:
Let the integers be y, y + 1
=======================
y * (y + 1) = 306 (products of them)y² + y = 306 (multiply)y² + y - 306 = 0y² + 18y - 17y -306 = 0 (factorize)y(y+18) -17(y+18) = 0 (take out common variables)(y-17)(y+18) = 0 (collect into groups)y = 17, -18 y = 17 (as required positive integer)Next integer:
y + 117 + 118I would really like some help with this problem, if anyone can help me with this problem I will appreciate it, thank you advance.
Help Me please Its on inequality’s
Answer:
Yes
Step-by-step explanation:
y > 3x + 6
-8 > 3(-5) + 6
-8 > -15 +6
-8 > -9
-8 is greater than -9
SOMEONE PLES HELP ME !!!
1. even or odd
2. Positive or negative
Step-by-step explanation:
The degree fix, is 4 and the leading coefficient of is 3 There are values. distinct real zeros and 3. relative maximum 2 [analyze]
The heights of 100 people in an office building were recorded and the results were normally
distributed. Which histogram shows a normal distribution that could represent this data?
Answer:
d
Step-by-step explanation:
select the equivalent expression (3^3*6^6)^-3
Answer:
[tex]\textsf{B)} \quad \dfrac{1}{3^9 \cdot 6^{18}}[/tex]
Step-by-step explanation:
[tex](3^3 \cdot 6^6)^{-3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{(3^3 \cdot 6^6)^3}[/tex]
[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]
[tex]\implies \dfrac{1}{(3^3)^3 \cdot (6^6)^3}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{1}{3^9 \cdot 6^{18}}[/tex]
[tex]\\ \rm\Rrightarrow (3^3.6^6)^{-3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{(3^36^6)^3}[/tex]
(a^n)^m=a^mn[tex]\\ \rm\Rrightarrow \dfrac{1}{3^96^{18}}[/tex]
Option B
Can someone help with trigonometry? 12 points
Answer:
A° = 44.42°
Step-by-step explanation:
Soh Coh Toa
Soh: sin(theta) = Opp/Hyp
Coh: cos(theta) = Adj/Hyp
Toa: tan(theta) = Opp/Adj
We are using Coh: cos(theta) = Adj/Hyp because we need to find Angle A and that 5 is Adjacent and 7 is the Hypotenuse.
cos(A°) = 5/7
A° = cos^-1 (5/7)
A° ≈ 44.4153086
A° = 44.42°