[tex] \sf \: 3x + x \sqrt{3} - 2 = 0 \\ \\ \sf \longrightarrow 3x + \sqrt{3} x = 2 \\ \\ \sf \longrightarrow \sqrt{3}x ( \sqrt{3} +1 ) = 2 \\ \\ \sf \longrightarrow \sqrt{3} x = \frac{2}{ \sqrt{3} + 1 } \\ \\ \sf \longrightarrow x = \frac{2}{ \sqrt{3}( \sqrt{3} + 1) } \\ \\ \sf \longrightarrow x = \frac{2}{3 + \sqrt{3} } \\ \\ \tt{You\:can\:stop\:here\:if\:you\:\bold{don't}\:want\:to }\\ \tt{ \:simplify\:in\:decimal\:form.}\\ \\ \sf \longrightarrow x = \frac{2(3 - \sqrt{3} )}{(3 + \sqrt{3})(3 - \sqrt{3} )} \\ \\ \sf \longrightarrow x = \frac{6 - 2 \sqrt{3} }{ {3}^{2} - {( \sqrt{3}) }^{2} } \\ \\ \sf \longrightarrow x = \frac{6 - 2(1.732)}{9 - 3} \\ \\ \sf \longrightarrow x = \frac{2.536}{6} \\ \\ \leadsto \underline{\boxed{\sf{\pink{x \approx 0.4226}}}}[/tex]
Nadya’s cell phone provider charges a monthly fee of $35 for usage up to 200 minutes. If she uses more than this in a month, she is charged $0.23 for each additional minute. Let c represent the cost of Nadya’s bill if she uses m minutes of air time. Write an expression that can be used to find c if she used more than 200 minutes last month.
Answer:
c = $35 + $0.23m
Step-by-step explanation:
The expression is c = $35 + $0.23m
c is the cost of nadya's bill
m is the additional minutes
so if she uses more than 200 minutes the cost of her bill wiil be
$35 plus $0.23 multiply by the number of extra minutes spent.
find all missing angles in the diagram below
please help ‼️
Simplify the expression.
(x4y2)1/2
A) 2(x4y2)
B) x1/8y1/4
C) x2y
D) x8y4
Answer:
C)
when you distrbe you get x^2 y
The least-squares regression line yˆ=1.8−0.2x summarizes the relationship between velocity, in feet per second, and depth, in feet, in measurements taken for a certain river, where x represents velocity and y represents the depth of the river. What is the predicted value of y, in feet, when x=5?
Answer:
0.8
Step-by-step explanation:
It is 0.8 because since you have y=1.8-0.2x (which is in the form of y=mx+b); and you have the value that x=5, all that you have to do is plug in 5 into the X in the equation.
Here is shown work:
y=1.8-0.2x
y=1.8-0.2(5)
y=1.8-1
y=0.8
Hopefully this helps! :)
The predicted depth value when the velocity value is 5 will be 0.8 feets
Given the regression model :
yˆ=1.8−0.2x
yˆ = Predicted value
x = velocity
To calculate the predicted depth, at a given velocity, x ;
Substitute the value of x and solve for yˆ in the equation
When x = 5
yˆ=1.8−0.2(5)
yˆ=1.8− 1.0
yˆ = 0.8
Therefore, the predicted depth value in feet is 0.8
Learn more : https://brainly.com/question/18405415?referrer=searchResults
7th grade math help me pleasee
Answer:
death valley<tallahassee | Death valley<westmooreland
Step-by-step explanation:
sorry if this is wrong i dont understand
Answer:
death valley<talahasse.
the negative value of death valley is less than talahasse.
Step-by-step explanation:
a negative number is way lower than a positive number.
(-2x)^4 Simpify the number
Answer:
d
Step-by-step explanation:
i like ya cut g
What is the size of a terabyte?
Solve.
2x + 4 3
B) x < 3
B) x 1/3
D) x < 1/3
Answer:
c
Step-by-step explanation:
Please will give brainliest and thanks
Answer:
Step 3
Step-by-step explanation:
One analog clock loses 3 minutes every 2 hours and another analog clock gains 3 minutes every 4 hours. At noon, the owner sets the correct time on both clocks and leaves on a business trip. When he returns home in less than two weeks, the clocks show the same time. What time do the clocks show? PLEASE HELP ASAP
Answer:
12 noon
Step-by-step explanation:
Clock 1 loses 3 minutes every 2 hours. Now, 2 hours = 120 minutes.
This means, it has speed of 120 - 3 = 117 minutes for every 2 hours.
Thus, in 1 hours, it's speed = 117/2 = 58.5 min/hr
Clock 2 gains 3 minutes every 4 hours
Which means in an hour, it gains ; 4/3 minutes
Thus, it's speed an hour is; 60 + 4/3 = 61.333 min/hr
Now, When he returns home in less than two weeks, the clocks show the same time.
let's say the number of hours he was away is x. For the 2 clocks to show the same time, it means they have to show it by 12 noon at another day since it was at noon that he set the correct times before leaving.
Thus, they will both be showing 12 noon.
Evaluate the given expression at x= -4
-3x + 2x^2 + 2
Answer:
[tex] \huge{ \boxed{ \bold{ \text{46}}}}[/tex]
Step-by-step explanation:
If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.
[tex] \text{ \underline{ Given}} : \text{x = - 4}[/tex]
[tex] \text{ \underline{ To \: find}} : \sf{value \: of \: - 3x + 2 {x}^{2} + 2}[/tex]
[tex] \text{ Plug \: the \: value \: of \: x}[/tex]
[tex]➝ \: \sf{ - 3 * (- 4 )+ 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Remember!} : \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}[/tex]
➝[tex] \sf{12 + 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Evaluate \: the \: power}[/tex]
➝[tex] \text{12 + 2 * 16 + 2}[/tex]
[tex] \text{Multiply \: the \: numbers}[/tex]
➝[tex] \text{12 + 32 + 2}[/tex]
[tex] \text{Add \: the \: numbers}[/tex]
[tex]➝ \boxed { \text{46}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
Answer:
46
Step-by-step explanation:
-3(-4)+2(-4)^2+2
100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The results of the measurements were as follows: 45 measurements were between 0.859 and 0.900 0.901 was observed once 0.902 was observed three times 0.903 was observed twice 0.904 was observed four times The smallest value was 0.859, and the largest value was 0.958. The sum of all 100 measurements was 91.170. Except those noted, no measurements occurred more than twice. What is the median of the measurements
Answer:
The median is [tex]Median = 0.903[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The [tex]1^{st} \to 45^{th}[/tex] measurements is [tex]= 0.859 \to 0.900[/tex]
Generally since that after 0.900 we have 0.901 , then the
[tex]46^{th} \ measurement \ is \ 0.901[/tex]
in the same manner the [tex]47^{th} \ measurement \ is \ 0.902[/tex],
Given that 0.902 was observed three times it means that
[tex]47^{th},48^{th},49^{th} \ measurement \ is \ 0.902[/tex],
Given that 0.903 was observed two times it means that
[tex]50^{th},51^{th} \ measurement \ is \ 0.903[/tex],
Given that 0.903 was observed four times it means that
[tex]52^{nd},53^{rd},54^{th},55^{th} \ measurement \ is \ 0.904[/tex],
Given that the highest measurement is 0.958 then then the [tex]56^{th} \to 100^{th} \ measurement \ is \ between \ 0.905 \to 0.958[/tex]
Generally the median is is mathematically represented as
[tex]Median = \frac{ [\frac{n^{th}}{2}] + [(\frac{n}{2})^{th} + 1 ]}{2}[/tex]
=> [tex]Median = \frac{ [\frac{100^{th}}{2}] + [(\frac{100}{2})^{th} + 1 ]}{2}[/tex]
=> [tex]Median = \frac{ [50^{th}] + [51^{th} ]}{2}[/tex]
=> [tex]Median = \frac{ 0.903 + 0.903}{2}[/tex]
=> [tex]Median = 0.903[/tex]
For 9-10, Write one equation to show a way to break down each number 24
Simplify the expression.
3p – 49 + 9 = 8p
Answer:
p=-5
Step-by-step explanation:
3p-49+9 -49+9=-40
3p-40=8p 3p-3p=0 8p-3p=5p
-40=5p p=5
Salazar is driving 70 miles per hour. At this rate, how long will it take for him to travel 840 miles?
Answer:
12 hours
Step-by-step explanation:
Step 1:
70 : 1 Ratio
Step 2:
70 : 1 = 840 : x Equation
Step 3:
840 = 70x Multiply
Step 4:
x = 840 ÷ 70 Divide
Answer:
12 hours
Hope This Helps :)
Order these numbers from least to greatest.
12/11
1.23
Square root of three
1
Answer:
1, 12/11, 1.23, square root of 3
Step-by-step explanation:
What is the expanded form of 894?
Answer:
Hope this helps! <3
( Pic Below )
Answer:
800+90+4
Step-by-step explanation:
800+90=890 and 890+4=894
HOPE THIS HELPS
Please help! Find the missing side lengths. If you must round 1 decimal place.
Answer:
x=1.6
y=4.8
z=9
Step-by-step explanation:
Answer:
X=12.5
Y=3.2
Z=6
Step-by-step explanation:
peggy is p years old maggie is 1 year less than 1/4 of peggys age what is maggies age in terms of p
Answer:
1/2m+100
Step-by-step explanation:
find the derivate of : y = ln(x)/5x
y'=
Solve the following equation and determine if it has one solution, no solution, or infinitely many solutions: 3x+1−3(x−1)=4
Answer:
1/3 , only one solution
Step-by-step explanation:
3x-1 = 1-3x
3x-1 = -3x+1
6x-1 = 1
6x = 2
x = 1/3
Answer:
Infinitely many solutions.
Step-by-step explanation:
[tex]3x+1-3(x-1)=4\\\\3x+1-1-3(x-1)=4-1\\\\3x-3(x-1)=3\\\\3x-3x-3=3\\\\\boxed{3=3}[/tex]
Hope this helps.
10
50 10
Why are the solutions to the proportions X - 20
and 50
20
the same?
X
because both result in the equation 20x=500, which simplifies to x = 25
because both result in the equation 20x = 500, which simplifies to X = 250
because both result in the equation 10x = 1,000, which simplifies to x = 10
obecause both result in the equation 10x = 1,000, which simplifies to x= 100
The line segment XY is shown in the picture. Which transformation of line segment XY will produce a line segment X'Y' that is parallel to line segment XY?
A
Reflection over the y-axis.
B
Rotation of 90 degrees about point X.
C
Translation up 7 units.
D
Rotation of 180 degrees about point X.
Answer: C
Step-by-step explanation:
Please I need help hurry!
Answer:
Step-by-step explanation:
Team B=2.2*4.8= 10.56
Team C : 10.56 *1.5=15.84
What is the slope of the line that passes through the points (10,11) and (-6,3)?
Answer: m = ½
.............................
AM = 5x - 2 and MB = 2x + 19, Find the length of AB
Answer:
The answer would be: -0.01
Step-by-step explanation:
1) State what is given
AM = 5x -2 and MB = 2x +19
2) Make an equation that can satisfy the problem
AM + BM = AB
This is the equation, because if I am to put this on a line,
A M B
-_____________-_____________-
You can see that is you combine the lengths AM and BM you can find the total length of AB.
A M + M B
-_____________- + -_____________-
(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)
3) Substitute
(5x - 2) + (2x + 19) = AB
4) Now Solve!
5x - 2 + 2x + 19 = AB
(Rearrange to combine like terms)
5x + 2x + 19 - 2 = AB
7x + 17 = AB
(That is your equation to find AB! But they want the specific length)
So...
We solve it!
7x = -17
(By moving the 17 to the other side of the = sign, it becomes negative)
7x = -17
7 7
(Dividing both sides by 7 in order to get x alone)
x = -2.43
(I rounded to the hundredths place)
Now substitute that into x into you original equation)
5(-2.43) - 2 + 2(-2.43) + 19 = AB
-12.15 - 2 - 4.86 + 19 = AB
-14.15 - 4.86 + 19
-19.01 + 19 = -0.01
= -0.01
(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)
(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)
Could someone help me with number 17.
Answer:
y=-7
Step-by-step explanation:
if g(x) is g(-2) that means that x=-2 so we plug that in so 5*-2+3
5*-2+ -10
-10+3+ -7
so y=-7
help anyone please??
Answer:
I believe 3 ways based on what I see in the picture.
a machine in a factory makes 20 gadgets every 1/4 hour. How many gadgets are made every hour?
Answer:
80 machines
Step-by-step explanation:
If a machine makes 20 gadgets every fourth (1/4) of an hour, it makes 80 machines every hour (20*4).
80 machines gadgets are made every hour.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
A factory makes 20 gadgets every 1/4 hour.
So, in an hour made = 20÷1/4 machines
=20×4
=80
i.e. If a machine makes 20 gadgets every fourth (1/4) of an hour,
it makes 80 machines every hour (20*4).
Hence, 80 machines gadgets are made every hour.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Which is a better deal?
4 bags of chins for $1.00 or 6 bags of chips for $1.20?
Answer:
6 bags of chips for 1.20
