[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]
7. Order the following integers from least to greatest: 0,5,18,100,22
Answer:
0, 5, 18, 22, 100
Step-by-step explanation:
Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.
Hope This Helps :)
WILL GIVE BRAINLIEST!! Which graph shows a slope of 2 and a y-intercept of -2?
Answer:
The second graph (where the line goes through the points -2 and 1)
Step-by-step explanation:
A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.
Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.
which equation can be used to solve for x in the parallelogram below
HELP PLEASE ITLL MEAN A LOt ILL GOVE A GOOD RATING AND BRAIN
Answer:
24, -5, -5, -40, -5
Step-by-step explanation:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Answer:
12) 24
13) -5
14) -5
15) -40
16) 5
Step-by-step explanation:
Things to remember when you multiply/divide with negatives.
*Two negatives that are multiplied/divided are positive.
*A positive multiplied/divided by a negative turns negative.
*A negative multiplied/divided by a positive remains a negative.
Simplified version of the equations:
12) 6×4= 24
13) 20÷(-4)= -5 *The negative sign of the 4 turns the outcome into a negative.
14) -15÷3= -5
15) 5×(-8)= -40 *Don't forget the negative sign from the 8.
16) 10÷2= 5
You can also input these equations into a calculator.
Hope this helps!
For 9-10, Write one equation to show a way to break down each number 24
Please guys I need help with this
What is the solution to the equation? 13+x=74
x=-6 1/4
x=-6 1/4
x =20
x=21
What number is 272 less than 2,744?
Answer: 2472
Step-by-step explanation: It is just 2744 minus 272
Answer:
2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper
What is the 8th term in the pattern 1,2,5,10,17
Answer:
50
Step-by-step explanation:
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answer:
(a) 0.5282
(b) 0.4718
Step-by-step explanation:
It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .
It is also provided that the box selected has 6 defective keyboards.
So, the probability of selecting a defective keyboard is, p = 6/20.
Let X = number of defective keyboards.
The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.
(a)
Compute the probability that this shipment will be accepted as follows:
[tex]P(X\leq 1)=P(X=0)+P(X=1)[/tex]
[tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]
Thus, the probability that this shipment will be accepted is 0.5282.
(b)
Compute the probability that this shipment will not be accepted as follows:
P (shipment not accepted) = 1 - P(shipment accepted)
= 1 - 0.5282
= 0.4718
Thus, the probability that this shipment will not be accepted is 0.4718.
A young female lion was brought into the wildlife zoo weighing 53.5 pounds. After two years, she weighed 5.5 times
that amount. Which is the most logical estimated product for the weight of the lion after two years of captivity?
O 3 pounds
O 32 pounds
324 pounds
3240 pounds
Answer:
324
Step-by-step explanation:
This is because when rounding you multiply 55 by 6 that is equal to 330 which is near 324. However if you want the answer spot on it would be 294
Answer:
324
Step-by-step explanation:
so you would times 53.5 by 5.5 and you would get 294.25 so i rounded up and the most logical estimation there was is 324 pounds
Bradley sold at least 127 juices and coffees. He sold nine more juices than coffee ‘s. What is the minimum amount of coffees Bradley could have sold? And do your answer in the box
Please help
Answer:
59
Step-by-step explanation:
c=coffee, j=juice
c + j >=127
j = c +9
c + c + 9 >=127
2c >=127-9
2c>=118
c>= 59
check by 59+59+9=127
Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5
Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}
Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.
That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}
Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.
Solve for x.
bx-10=8
Answer: x = 18/b
................................
Answer:
you can put your answer as 9 or 2
Step-by-step explanation:
please answer number 9 :((((
okay so the 2x+6 is the red line
x<12 is the purple region
-3/4x+8 is the blue line
x is greater than or equal to 12 is black
the second picture shows when 8 ≤ x ≤ 16
in the second photo it shows the region where 8≤x≤12 which is the red shaded part
find all missing angles in the diagram below
please help ‼️
Complete the statement with <, >, or =.
Answer:
>
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
-_/18 = -4.24 which is less than -4
Write the standard form of the equation:
y=5/2(x+2)
Answer:
y=5/2 x
Step-by-step explanation:
The standard form of a linear equation is Ax +By=C
Does anyone know the answer for this please?
Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)
If that is the case, then vector v = (-2,4) and vector u = (2,1)
Add the corresponding coordinates to get
v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)
The answer is therefore choice BThe general rule for adding vectors is
if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)
Write the range as an inequality.
I will give brainliest to however can help me with this!
114 = 3 (y + 18) what is the missing value
Answer:
y= 20
Step-by-step explanation:
114 = 3y + 54
114 - 54 = 3y
60 = 3y
y = 60 ÷ 3
y = 20
the complement of an angle is 40° more than four times itself.find the supplement angle
Answer:
Supplement angle: 170°
Step-by-step explanation:
Equations
Let x=the required angle. Since complementary angles sum 90°, then 90-x is the complement of x. According to the conditions of the question:
[tex]90-x=40+4x[/tex]
Simplifying:
[tex]90-40=4x+x=5x[/tex]
Solving:
[tex]x=50/5=10[/tex]
The angle is 10°. The supplement angle is 180°-10°=170°.
Supplement angle: 170°
A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
The point (3.5,210) is on the graph. Explain what this means in terms of the car.
Is the point (1,60) on this graph? Explain how you know.
Answer:
Step-by-step explanation:
A car traveled at a constant speed as shown in the graph.
Distance traveled is on the y-axis and duration of travel on the x-axis.
Point A(3.5, 210) shows,
Distance traveled = 210 miles
Time to travel = 3.5 hours
So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.
Slope of the line = speed of the car = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]
= [tex]\frac{210}{3.5}[/tex]
= 60 mph
Now we will find the speed of the car at another point B(1, 60).
If the speed of car is same as the point B as of point A, point B will lie on the graph.
Speed of the car at B(1, 60) = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]
= [tex]\frac{60}{1}[/tex]
= 60 mph
Hence, we can say that point B(1, 60) lies on the graph.
Here is a list of numbers:
5.5, 6.3, 2.3, 4.5, 8.7, 3.4, 1.7 ,6.3 ,4.7 ,8.2
State the median.
What are the slope and the Y intercept of the linear fractionThat is represented by the equation y= - 10x + 1
The slope is the number with the letter x
The slope would be -10
The y intercept is the number at the end of the equation.
The y intercept is 1
How do I solve for x?
Answer:
We will use the thales's theorem to solve for x
Let ? be x
then, the other segment on the same line as x will be 20 - x since the line is 20 units long
According to thales's theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"
Hence, we can write that,
9 / 3 = 20-x / x
3x = 20 - x
4x = 20
x = 5 units
Hence, the length of the line segment marked as '?' is 5 units
How many times larger is the value of 370,000 than 370
Answer:
1000 is the answer that you are looking for
hope this helps\
3(x−2)+5x=18 what is the value of x
Answer:
x=3
Step-by-step explanation:
20. Shane rolls a dice numbered 1 through 6. What is the probability Shane rolls a 5?
a. 5/6
b. 1/6
c. 1/5
d. 1/2
Answer:
b
Step-by-step explanation:
1 ft. = 12 in
Convert 4 feet to inches.
Convert 48 inches to feet.
Answer:
48 inches, 4 feet
Step-by-step explanation:
since each foot is 12 inches and we have 4 feet, we can multiply both numbers to convert 4 feet to inches. 12*4= 48 inches
to convert 48 inches to feet, we can divide by 12 since 12 inches is a foot. 48/12=4 feet