Answer:
C < 12
Step-by-step explanation:
The upper bound for C will be found where 'b' is a maximum and 'a' is a minimum.
The maximum that 'b' can be is half of the rounding value more than the reported value: 15 +5/2 = 17.5.
Similarly, the minimum 'a' can be is half the rounding value less than the reported value: 6 -1/2 = 5.5
Then the maximum value of C is ...
C = 17.5 -5.5 = 12
The upper bound for the value of C is 12. (C < 12)
_____
Additional comment
The minimum value of C will be (15 -5/2) -(6 +1/2) = 6. (6 < C). The value of C cannot actually be either of these values, since that would mean one of 'a' or 'b' would be rounded differently. It can only come close: 6 < C < 12.
Answer:
Step-by-step explanation:
write an equation of the line that passes through (0,2) and (3,10)
Answer:
Slope Form: y-2= 8/3*x+2
Step-by-step explanation:
I will Make Brainliest ! Plz solve those 5 Question on the Picture.
Answer:
[tex]y = {x}^{2} - 2x \\ (i) y= {3}^{2} - 2(3) = 9 - 6 = 3 \\ (ii)see \: the \: attached \: graph \\ (iv) {( \times - 1)}^{2} - 1 = 0 \\ (iii)x = 1 \rightarrow \: y = - 1\rightarrow(1,-1)[/tex]
[tex](v) \: the \: interval \: 3 - 1[/tex]
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answer:
6 Km / hour
Step-by-step explanation:
Convert distance to Km ( 1 Km = 1000 m )
150 m = 150 ÷ 1000 = 0.15 Km
Convert 1.5 mins to hours ( 1 hour = 60 minutes )
1.5 = 1.5 ÷ 60 = 0.025 hours
average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{0.15}{0.025}[/tex] = 6 Km / hour
The average speed in km per hour is 6 kilometers per hour
How to determine the average speed?The given parameters are:
Distance = 150 mTime = 1.5 minsConvert meters to kilometers
Distance = 150/1000 km
Distance = 0.15 km
Convert minutes to hours
Time = 1.5/60 hour
Time = 0.025 hour
The average speed is then calculated as:
Speed = Distance/Time
This gives
Speed = 0.15 km/0.025 hour
Evaluate
Speed = 6 kilometers per hour
Hence, the average speed in km per hour is 6 kilometers per hour
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Students donated 2500 cans of food to the local food pantry they donated 4000 cans this year. What is the percent increase in the number of cans donated ?
Answer:
0.275 would be the answer
Step-by-step explanation:
A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
Answer:
6
Step-by-step explanation:
h = 8
Surface area = 66π
2πr(r +h) = 66π
2πr(r + 8) = 66π
[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]
r² + 8r = 33
r² + 8r - 33 = 0
r² + 11r - 3r - 33 = 0
r(r + 11) - 3(r + 11) = 0
(r +11 ) (r - 3) = 0
r - 3 = 0 {Ignore r = -11 as radius will not have negative value}
r = 3
Diameter = 3*2 = 6 units
rewrite 4x plus 2y equals 6 in slope intercept form.
Answer:y=-2x+3
Step-by-step explanation:
PLS HELP IM BEING TIMED
Answer: am so sorry but I don’t know nothing
Step-by-step explanation:
Write 1/ 5 √ 7 in index form
Your answer is long see it check correctly.
The index form of the fraction [tex]\frac{1}{(7^{(\frac{1}{5})}) }[/tex] is written as [tex]7^{(\frac{-1}{5})}[/tex] where the exponent notation is [tex]7^{(\frac{-1}{5})}[/tex].
Given data:
In index form, the expression [tex]\frac{1}{(7^{(\frac{1}{5})}) }[/tex] is written as [tex]7^{(\frac{-1}{5})}[/tex] , where the base is 7 and the exponent is -1/5. This means that we are taking the reciprocal of the fifth root of 7. The exponent of -1/5 indicates that we are essentially finding the inverse of the fifth root of 7.
When dealing with fractional exponents, the denominator of the fraction becomes the root, and the numerator becomes the power to which the base is raised. In this case, the base is 7, the denominator is 5, and the numerator is -1. So, [tex]7^{(\frac{-1}{5})}[/tex] represents the reciprocal of the fifth root of 7, which can also be expressed as the fifth root of 7 raised to the power of -1.
Hence, the exponent notation is [tex]7^{(\frac{-1}{5})}[/tex].
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The complete question is attached below:
Write [tex]\frac{1}{\sqrt[5]{7} }[/tex] in the index form.
Emiliano thinks x=40 is the solution 1/2x=80 explain why he is wrong
Emiliano divided by two instead of multiplying. To solve the equation, he had to multiply both sides by two so that he could see what x equals when it's alone (if half of x is 80, x, or two halves, is 160).
The solution of the given equation is 160. Emiliano wrong because instead of multiplying he must have divided 80 by 2.
The given equation is 1/2 x=80.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of the given equation is
1/2 x=80
⇒ x =80×2
⇒ x =160
The solution of the given equation is 160. Emiliano wrong because instead of multiplying he must have divided 80 by 2.
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help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
If Dylan does a job in 50 hours and Kristen does a job in 75 hours, how long will it take them to do the job
together?
graph the equation x=5 ,x=2 ,y=-2 ,y=1
Could someone please help me?
1/4 equals how many eighths
Answer:
The answer = 0.25
3x+2=198
Solve it as Soon as possible!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]3x + 2 = 198[/tex][tex]3x = 198 - 2[/tex][tex]3x = 196[/tex][tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]Answer:
[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]
Result:
[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]
A soccer team ordered 5 small, 7 medium, and 4 large frozen yogurts. Write an expression, using grouping symbols, to model the total cost for the yogurts the team orders. Then simplify the expression to find the total cost?
The total cost spent by the soccer team is given by 5x + 7y + 4z
An equation shows the relationship between numbers and variables.
Let x represent the cost of small yogurts, y represent the cost of medium yogurt and z represent the cost of large yogurts.
Since the team ordered 5 small, 7 medium, and 4 large frozen yogurts. Hence:
Total cost = 5x + 7y + 4z
Let us assume that small yogurt cost $1, medium cost $1.5 and large cost $2. Hence:
Total cost = 5(1) + 7(1.5) + 4(2) = $23.5
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Can you please tell me if this is correct ?
Answer:
(6*3) - 5
Step-by-step explanation:
The product of 6 & 3 = 6*3 = 18
5 less than 18 means the required number is 5 units smaller than 18. so you have to subtract from 18
18 - 5 = 13
13 is 5 less than 18
-
I need help please
[tex]x = 7 - p\implies x + p = 7\implies \boxed{p = 7 - x} \\\\[-0.35em] ~\dotfill\\\\ y = 3p+4\implies y = 3(7-x)+4\implies y = 21-3x+4\implies \blacktriangleright y = 25 - 3x\blacktriangleleft[/tex]
The importance of crushing the Whiskey Rebellion was to uphold
Answer:
Federal Authority should be the answer
tickets to a fair cost $4 for children and $10 for adults. You are unsure of how many tickets were sold, but know that $200 was collected. define your variables. What would be my variables??
Answer:
4=
10=
200=
I dont actully know this i wanted to give it a try n all i got was this
Please help with this equation
Solving for b.
r=(b+a)m
Step-by-step explanation:
r = (b + a)m
Solve for b
r = bm + am
r/(am) = bm
r/(am) × 1/m = b
r/(am²) = b
b = r/(am²)
A random sample of 500 adult residents of Maricopa County found that 361 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 adult residents of Pima County found that 270 were in favor of the increased speed limit. Construct a 95% confidence interval on the difference in the two proportions. Round your answer to four decimal places (e.g. 98.7654).
Answer:
5.006
Step-by-step explanation:
Find the area of the polynomial:
A.) 6a^3 + 12a^2 − 15a
B.) 6a^3 + 12a − 15
C.) 6a^2 + 12a − 15
D.) 5a^2 + 7a − 2
Answer:
A.) 6a^3 + 12a^2 - 15a
Step-by-step explanation:
Area = w * l
Area = 3a(2a^2 + 4a - 5)
Area = 6a^3 + 12a^2 - 15a
The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
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The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets. Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell.
Answer:
Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper. To enable to do this easily, draw an x-axis which is big enough for the largest value in the data, and small enough for the smallest value in the data (in the entire collection of data). Plot each box-and-whisker diagram below each other.
Step-by-step explanation:
pls mark
Answer:
Parallel box and whisker plots are regular box and whisker plots, but drawn "one-above-the other" on the piece of paper.
Step-by-step explanation:
Simon bought a $48 table on sale at 30% off.
Select from the drop-down menu to correctly complete the sentence.
The best estimate for the discount can be found using the expression
A)0.003(50)
B)0.3(50)
C)3(50)
D)30(50)
Explain, please!
Answer:
The answer is B. Hope this helps!
four times the sum of x and 5 as an algebraic expression
Answer:
20x
Step-by-step explanation:
Multiply the numbers.
4 * 5x
20x
An exponential function in the form y=2401(b)^x contains the point (4,1). What is the value of b?
Which ordered pairs represent points on the graph of this equation? Select all that apply.
3x + 2y = -12
(-6, 7)
(76)
(-4,0)
(0,7)
(3,-3)
(6,0)
The point (-4,0) will be the ordered pair of the equation 3x + 2y = -12. The correct option is B.
What is an equation of a line?An equation of the line is defined as the linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line is y = mx + c, where m is the slope and c is the intercept cut by the y.
To calculate the ordered pair by satisfying the equation with each pair of points.
3(-6)+2(7)= -4
3(-4)+2(0)=-12 YES
3(0)+2(7)=14
3(3)+3(-3)=0
3(6)+2(0)=18
Therefore, the point (-4,0) will be the ordered pair of the equation 3x + 2y = -12. The correct option is B.
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equation for the line that passes through (4, -6) and has the slope 35.
Answer:
y = 35x - 146
Step-by-step explanation:
You just have to use the point-slope equation of a line which is (y - h) = m(x - k) where (h, k) is the point given and m is the slope given. Therefore, plug in h = 4, k = -6, m = 35 into the equation to get:
(y - ( -6)) = 35(x - 4) which simplifies to
y + 6 = 35x - 140 and if you want it in standard form, it is
y = 35x - 146
