Answer:
0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4
Step-by-step explanation:
Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0
Example:
5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex] can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]All the numbers above are rational numbers
Let us find the rational numbers in our question
∵ 0 can be written as [tex]\frac{0}{1}[/tex]
∴ 0 is a rational number
∵ [tex]\frac{5}{7}[/tex] is a fraction
∴ [tex]\frac{5}{7}[/tex] is a rational number
∵ 3.6820350285........ can not be written in the form of the fraction
because we do not know its end (it is an approximated number)
∴ 3.6820350285........ is not a rational number
∵ -10 can be written as [tex]-\frac{10}{1}[/tex]
∴ -10 is a rational number
∴ 0, 5/7, and -10 are RATIONAL numbers
Isabella and Madeline share a bag of cherries. if isabella eats 25% of the cherries and there are 76 cherries in the bag, how many cherries did isabella eat?
Answer:
19
Step-by-step explanation:
HELP ME PLEASE 9 3/5 + 8 3/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5
We have a common denominator, so add the whole numbers
9+8 = 17
Add the fractions
3/5+ 3/5 = 6/5
17 6/5
We can simplify since we have an improper fraction
17 + 5/5 + 1/5
17+1+1/5
18 1/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5=
First we do 9+8 which is 17
3/5+3/5= 6/5
17 6/5
Simplify:
18 1/5
A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.
Answer:
this is your question
Step-by-step explanation:
please mark as brainliest
The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written to express proportional relationship as -
y = kx {k is constant}
We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5
Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -
3y = 1/2x
y = 1/6x
At [x] = 0, y = - 5
So -
y = (1/6)x - 5
Now -
slope = 1/6
[y] - intercept = - 5
y = 0 = (1/6)x - 5
(1/6)x - 5 = 0
1/6x = 5
x = 1/30
[x] - intercept = 1/30
Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.
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What is pi/π used for in math?
Its used to find the area and circumference of a circle
Answer:
It is the 16th letter of the Greek alphabet
Used to represent the mathematical constant.
Pi is the ratio of the circumference/diameter.
Hope this helps you!
In a certain school club, 40% of the members are boys. If there are 45 members in the club, how many of them are boys?
Answer:
18 of them are boys
Step-by-step explanation:
40% = 40/100 = 0.40
0.40 × 45 = 18
According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow:
87 91 86 82 72 91
60 77 80 79 83 96
Required:
a. Develop a point estimate of mean wine score for this pinot noir (to decimals).
b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to decimals).
Answer:
a
[tex]\= x = 82 [/tex]
b
[tex]s = 9.64 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 87 91 86 82 72 91 60 77 80 79 83 96
Generally the point estimate for the mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{87 +91 + 86 + \cdots + 96}{12}[/tex]
=> [tex]\= x = 82 [/tex]
Generally the point estimate for the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{ \sum ( x_i - \= x )^2 }{ n -1 } }[/tex]
=> [tex]s = \sqrt{\frac{ ( 87 - 82 )^2 +( 91 - 82 )^2 + \cdots + ( 96 - 82 )^2 }{ 12 -1 } }[/tex]
=> [tex]s = 9.64 [/tex]
Part(a): The required mean is 82
Part(b): The required standard deviation is 9.639
Mean:
The mean is one of the measures of central tendency.
Part(a):
The formula for finding the mean is,
[tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
Now, calculating the mean for the [tex]n=12[/tex] observation
[tex]\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82[/tex]
Part(b):
The formula for the standard deviation is,
[tex]S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }[/tex]
Substituting the given values into the above formula we get,
[tex]S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639[/tex]
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bruh please, i beg...........................
Answer:
the answer is B
Step-by-step explanation:
Answer:
B, y = (x+2)^2+3
Step-by-step explanation:
Hi adenpetkowski, well to solve this problem we need to find the equation, so since a vertical parabola have equation of y = a(x-h)^(2)+k, where (h, k) is the vertex, we can use this formula to find the equation for the parabola, so since the vertex is (-2, 3) assuming it's lattice points, the formula now is y = a(x+2)^2+3, next, we can find a by taking a point from the parabola, say, (-1, 4). We then substitute the y and x to find that 4=a(1)^2+3, and we can find that a = 1. so the Formula is y=(x+2)^2+3. B
CAN YOU HELP ME PLEASE
Answer:
just doing this for the gram
Step-by-step explanation:
say hi
What is 0.8 as a fraction???? Plz answer is u r right I’ll give u brainliest!!!!
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Answer:
the answer is 4/5
Step-by-step explanation:
convert to a simplified fraction by placing the numbers to the right of the decimal over 10. then reduce the
fraction.
a centroid is the intersection of three
1. altitudes in a triangle
2. medians in a triangle
3. angle bisectors in a triangle
4. perpendicular bisectors in a triangle
Answer:
medians in the triangle
Step-by-step explanation:
just took the test
Help please number 19
Answer:
A.4
Step-by-step explanation:
Median is the middle meaning 6th grade got 4 more hours then the 8th graders
Answer:
B-2.5
Step-by-step explanation:
Because the median for the first one is 5 and the median for the second one is 7.5 and 7.5-5=2.5
write model expression to show how much longer the round-trip to san diego is than the round trip to san jose. how many term does the expression have
Answer:
Product of 6 and a number. y÷9.
Kindly help me with this question. (Chapter - Complex Numbers)
Answer:
z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down
Step-by-step explanation:
∵ z1 = 4 + 3i
∵ z2 = 3 - 2i
∵ z3 = i + 5
→ Find the left side
∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]
∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]
∴ z1(z2 + z3) = (4 + 3i)(8 - i)
∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)
∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²
→ Remember that i² = -1
∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)
∴ z1(z2 + z3) = 32 - 4i + 24i + 3
→ Add the like terms
∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)
∴ z1(z2 + z3) = 35 + 20i
→ Find the right side
∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)
∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]
→ Replace i² by -1
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]
∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]
→ Add the like terms
∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]
∴ z1 z2 + z1 z3 = 35 + 20i
∵ The left side = 35 + 20i
∵ The right side = 35 + 20i
∴ The left side = the right side
∴ z1(z2 + z3) = z1 z2 + z1 z3
Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *
y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4
Answer:
y=2x-4
Step-by-step explanation:
Parallel lines have the same gradient.
The gradient of this line is 1/2.
All the equation the have a gradient of 1/2 accept for the last one.
A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?
x+y=k
x-y=k
The solution of the system shown is
O (OK)
O (0,0)
O (k, O)
Answer: (0,0)
Step-by-step explanation:
The only integer"s" that both add and subtract to the same value are 0 "and" 0. Properly stated, the only integer that can be added to itself and subtracted from itself with the same outcome is 0.
Of course, k will also be 0
So this system of equation works out to be
0 + 0 = 0
0 - 0 = 0
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation:
What is 5/8 of $16 restaurant bill=
What is the answer
Answer:
$10
Step-by-step explanation:
16 * 5 / 8 = 16 * 0.625 = $10
Convert 66 inches to meters.
Conversion table:
1 meter = 3.281 feet
1 foot = 12 inches
A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes.
Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total
Answer:
Step-by-step explanation:
Given that:
There are 600 residents in the survey.
And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.
The objective is to construct a two by two table from the given data:
Diabetes
Yes No Total
Smoking
Yes 157 230 - 157
= 73 230
No 50 370 - 50 600 - 230
= 320 = 370
Total 157 + 50 320+ 73
= 207 = 393 600
A composition of transformations maps pre-image EFGH to final image E"F"G"H".
Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is reflected across the line of reflection c to form trapezoid E double-prime F double-prime G double-prime H double-prime.
The first transformation for this composition is [________], and the second transformation is a reflection across line c.
a 180° rotation about point G
a 180° rotation about point H
a translation down and to the left
a translation up and to the right
Answer:
c. a translation down and to the left
Step-by-step explanation:
As per translation of a graph, the first transformation for this composition is translation down and to the left.
What is the translation of a graph?"A translation of a graph is its rigid movement, vertically or horizontally."
Here, A composition of transformations maps pre-image EFGH to final image E"F"G"H".
Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime.
Therefore, this transformation for this composition is translation down and to the left, and the second transformation is a reflection across line c.
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I need help ASAP. Thank you in advance! The choices are true & false.
Please Help!!!! Please please help me it’s not hard but I don’t know how!!
Answer:
Step-by-step explanation:
1
180-72=108
108-82=26
x=26
2
1580-30=150
150-82=68
x=68
Which statement about this equation is true?
3+x= 2–3x
The equation has no solution.
The equation has one solution.
The equation has infinitely many solutions.
Solve the following equation: 9x-14=22
Answer:
x=4
Step-by-step explanation:
9x=36, divide both sides by 9
Answer:
Step-by-step explanation:
9x=22+14
9x=36
x=36/9
x=4
It will be nice if you give me brainliest. Good luck!
z=b+ m/a, solve for a
Solve 2y - 3 = 4y +6.
у
DONE
Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y +6
subtract 2y from both sides: -3 = 2y +6
subtract 6 from both sides: -9 = 2y
divide both sides by 2: -4.5 = y
Answer:
y= -4.5
Step-by-step explanation:
2y - 3 = 4y + 6
+3 + 3
2y = 4y + 9
-4y -4y
-2y = 9
divide by -2 to get -4.5
Please help
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)
Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is unknown.
13 meters
14 meters
200 meters
208 meters
Answer: 14 meters
Step-by-step explanation:
Pythagorean Theorem formula = a^2 + b^2 = c^2
8^2 + 12^2 = c^
64 + 144 = 208
Now find the square root of 208 = 14.422
Answer:
You answer is 24! hope yhis helps
Step-by-step explanation:
You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?
Answer:
Shop and save
Step-by-step explanation:
Answer:
You can buy 5 of the same apples at Shop and Save for $2.10.
Step-by-step explanation:
a car traveled 23 miles in 15 minutes. how many miles per hour was it traveling?
Answer:
1.53333... mph
Step-by-step explanation:
Well, if you want to figure out the speed (miles per hour), all you need to do is divide the distance by the time. In this case, the distance is 23 miles, and the time is 15 minutes. 23/15= 1.53333...
Hope this helps!! Have an amazing day c:
The speed of the car with given distance and time is 92 miles per hour.
Given that, a car traveled 23 miles in 15 minutes.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
We know that, speed = Distance/Time
Here 15 minutes = 15/60
= 1/4 hours
Now, speed = 23 ÷ 1/4
= 23 ×4
= 92 miles per hour
Therefore, the speed of the car with given distance and time is 92 miles per hour.
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