It's rational because it contains a repeating digit pattern, 743 (first option).
In particular, if
x = -6.743743…,
then
1000x = -6,743.743743… .
Subtracting, we can eliminate the trailing end and solve for x exactly:
1000x - x = -6,743.743743… - (-6.743743…)
999x = -6,737
x = -6,737/999
Draw a square ABCD with A(0,6), B(4,6), C(0,10), and D(4,10)
Reflect it on the vertical line through 6 on the horizontal axis to get
A'B'C'D'. Write the coordinates of the image.
Answer:A’(12,6) B’(8,6) C’(12,10) D’(8,10)
Step-by-step explanation:
Maximize Y = 1.27 - 0.03x - 0.05y, using the constraints:
x>_0
y>_0
Y>_-x+10
Y<_-x+15
y<_2/3 x
sorrry I couldnt write it any better
Answer:
a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.
Step-by-step explanation:
Please help me out with this!
Answer:pooor guy hope u get it
Step-by-step explanation:
HELPP MEEE!
7th gradeee
Find the circumference of the circle. Use 3.14 or 22/7 for TT. Round to the nearest tenth if necessary.
I’ll mark you brainliest!
47.1
the formula of circumference is 2×radius×pi.. so given=radius=7.5
pi=3.14
2×7.5×3.14=47.1
The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?
Answer:
P(0.8< p ^ <0.9)≈0.87
Step-by-step explanation:
trust me
The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.
We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.
The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:
SD = √((p × (1 - p)) / n)
Plugging in the values, we get:
SD = √((0.85 (1 - 0.85)) / 120)
= √(0.01225 / 120)
= √(0.0001010417)
= 0.0101
Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.
Therefore, the required probability is approximately 0.919.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
9. Find the value of x.
(look at the picture)
Answer:
use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).
Step-by-step explanation:
can you round 16.191
Answer:
Yes,
rounding to the nearest hundrenth would be 16.19
rounding to the nearest tenth would be 16.2
and rounding to the nearest ones place would get you 16
Step-by-step explanation:
plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4
Answer:
y = -3/4x -4
Step-by-step explanation:
Parallel slope = -3/4
(-4,-1)
y - y1 = m(x - x1)
y + 1 = -3/4(x + 4)
y + 1 = -3/4x - 3
y = -3/4x -4
the length of a rectangle is 1 more than 4 times the width. the perimeter is 92 in. what is the length and width.
Step-by-step explanation:
the 1st side length is 4x+1 if x is the width. 2(length)+2(width)=perimeter
2(4x+1)+2x=92
8x+2+2x=92
10x=90
x=9
width=x=9
length=4x+1=4(9)+1=37
Hope that helps :)
Devon has 3 gallons of water in a large container. He begins to fill up glasses that each hold 1/8 gallon of water. How many glasses can he fill up until the water runs out?
A. 1 1/2
B. 4
C.1 2
D. 24
I need this awnser soon Please help!!!!
Answer:
its a
Step-by-step explanation:
Answer:24
Step-by-step explanation:3 divided by 1/8 is just 3 multiplied by 8
Tell whether the ordered pair is a solution.
y=4x
(1,4)
Answer:
It’s a solution
Step-by-step explanation:
Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?
Answer:
Water level and temperature
Step-by-step explanation:
Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.
Find the area of the right triangle
Answer:
12 is the area
Step-by-step explanation:
Area is multiplication
2 width
6 length
2 times 6
NEED HELP PLEASE as soon as possible
For every 2 minutes that Mandy plays on the computer, she plays outside for 5 minutes. What is the ratio of minutes Mandy plays on the computer to minutes she plays outside?
A 5/2
B. 2 to 5
c. 5:2 O D.
2 and 5
Answer:
B. 2 to 5
computer to outside
Step-by-step explanation:
Please someone help with this math problem!!!!
Help! I will mark brainliest
Answer:
[tex]4[/tex] x [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
4*10^6
Step-by-step explanation:
A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?
Answer:
52 photos per hour
Step-by-step explanation:
8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52
Answer:
A) 52
Step-by-step explanation:
find the length of the bold arc. Round your answer to the nearest tenth.
Answer:
The length of the bold arc is approximately 13.4 mi
Step-by-step explanation:
The radius of the circle having the arc, r = 17 mi
Therefore, the circumference of the circle, 'C', is given as follows;
C = 2·π·r
∴ C = 2×π×17 = 34·π
The angle subtended by the arc = 45°
The sum of the angles at the center of the circle = 360°
By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle
Mathematically, we have;
[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]
Therefore, we get;
[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]
[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]
The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).
anyone tell me the answer
Answer: 0.9 is the same as 9 tenths
0.009 is the same as 9 thousandths
I give brainlest, please help.
If it is 2$ and it was 75 percent off what is the original price?
Answer:
$8
Step-by-step explanation:
If it's 75% of that mean 2=25%
multiply it by 4 to get 8
-2x+2y=6 and 7x+4y=23
Let's solve this problem step-by-step:
Let's set:
[tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]
(equation1) * 2
[tex]-4x+4y=12--equation3[/tex]
(equation 2) - (equation 3)
[tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]
Plug (equation4)'s value of 'x' into (equation1)
[tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]
Thus x= 1 and y = 4
Let's check:
[tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]
Answer: x = 1 and y= 4
Hope that helps!
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]
Step-by-step explanation:
I hope this helps
have a nice day!! :)
I don’t get this i need help
Answer:
a
Step-by-step explanation:
Answer:
Answer=(X + 5, Y - 4)
Step-by-step explanation:
X + 5 means you move to the right 5 places then Y - 4 means you move down 4 places.
Help please!!!!!!!!!!!
Answer: x = 12, ∠B = 45°
Step-by-step explanation:
Angle A and Angle B are alternate exterior angles meaning that they are equal
5x - 15 = 2x + 21
3x - 15 = 21
3x = 36
x = 12
B = 2(12) + 21
B = 24 + 21
B = 45
Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get
Answer:
Jerome got 5 quarters, 1 dime and, and 3 nickels.
Step-by-step explanation:
Let's define the variables:
N = number of nickels he got
D = number of dimes he got
Q = number of quarters he got
We know that the nickels were worth $0.15
And each nickel is whort $0.05
Then:
N*$0.05 = $0.15
N = $0.15/$0.05 = 3
N = 3
Now we also know that there is a total of 9 coins, then:
N + D + Q = 9
3 + D + Q = 9
D + Q = 9 - 3 = 6
D + Q = 6
And we also know that the total change received is $1.50, then:
D*$0.10 + Q*$0.25 + N*$0.05 = $1.50
We know that N = 3, then we can replace that and get:
D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50
D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35
D*$0.10 + Q*$0.25 = $1.35
Then we have two equations:
D + Q = 6
D*$0.10 + Q*$0.25 = $1.35
To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:
D = 6 - Q
Now we can replace this in the other equation:
(6 - Q)*$0.10 + Q*$0.25 = $1.35
Now we need to solve this for Q.
$0.60 - Q*$0.10 + Q*$0.25 = $1.35
Q*$0.15 = $1.35 - $0.60 = $0.75
Q = ($0.75)/($0.15) = 5
Q = 5
Then Jerome has 5 quarters.
Now we can return to the equation:
N + Q + D = 9
We already know that:
N = 3
Q = 5
Then if we replace those in the equation, we get:
3 + 5 + D = 9
8 + D = 9
D = 9 - 8 = 1
D = 1
answer to (3j–1)+(–5j–4) ??
Answer:
-2j - 6
Step-by-step explanation:
3j - 2 + (-5j) - 4
3j - 2 - 5j - 4
-2j - 6
Can someone please help me answer this??
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
Which equation represents a nonlinear function?
Help please!!!
Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.
25 Points!!. $1.60 for 8 oz, (cheese)
What’s the unit price?