Answer:
KP = 6
Step-by-step explanation:
From the information given, K is the centroid.
Therefore, based in the centroid theorem:
KP = ⅓(AP)
AP = 18
Plug in the value of AP into the equation
KP = ⅓(18)
KP = 6
During a thunderstorm, 4
inches of rain fell in 2 1/2
hours. What was the rate of rainfall in inches per hour?
Answer: 1.6 in per hour
Answer:
hourly rate.
Step-by-step explanation:
As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.
However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.
For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.
The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?
Answer:4=1/2x
X=8
Step-by-step explanation:
A number with no variable attached is called a what
Answer:
constants
Step-by-step explanation:
That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.
The term or number with no variable attached is called a constant as in the polynomial or expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
A number consists of the expression with no variable.
As we know, the expression is a combination of numbers, variables, and operators.
If we take an example of the polynomial.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
Here a₀ is a constant because the term a₀ has no variables.
Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.
Learn more about the expression here:
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Find the slope, if it exists, of the line containing the pair of points.
(8,-6) and (3,9)
Answer:
The slope is -3
Step-by-step explanation:
the equation for finding the slope between two different points is:
M= (y2-y1)/(x2-x1)
Or in other words the change in y over the change in x.
M= (9+6)/(3-8) = 15/-5 = -3.
(sidenote: I added 9 and 6 for the change in y because you cannot subtract a negative number. Instead you have to add it.)
A meal has 408 calories in 8 serving find the unit rate. ANSWER PLEASE DUE TONIGHT
Answer:
51
Step-by-step explanation:
408/8= 51
(its that simple)
A librarian has 883 books to place on shelves. Each shelf holds 98 books.
How many books will be left over after filling as many shelves as possible?
Answer:
She will be able to fill 9 shelves with 1 book left over.
Let me know if you need more help! :)
Step-by-step explanation:
883/98
=9
9 books will be left
Joe paid $14.00 for a board game. This is 70% of the original price. What was the original price?
Answer:
69.99
Step-by-step explanation:
Answer:
23.80
Step-by-step explanation:
$6 notebook; 50% off; 7% tax
Answer: The notebook is worth 2.79
Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:
7 x 3 = 21
21 / 100 = 0.21
3 - 0.21 = 2.79
Hope this helps :)
Point k lies at (-3,4). Point k is reflected over the y-axis and then translated 7
units down to produce K'. Which rule could have been used to produce K' from K?
K(x, y) +K'(x,y-7)
K(x,y) →K'(-x, y-7)
K(x,y) →K'(x, -y-7)
K(x,y) → K'(-x-7.-y-7)
Answer:
b
Step-by-step explanation:
Answer:B
Step-by-step explanation:
PLEASE HELP ME !!!
:(
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.
Answer:
The answer is "0.0764"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\[/tex]
[tex]= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802[/tex]
[tex]\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}<(3920 - 4064)}{100.3802)}}[/tex]
[tex]\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\[/tex]
+
+
+
b
a
0
C
All of the following statements are all true except
The quotient of a and b is positive.
The quotient of O and cis O.
The quotient of cand bis negative.
The quotient of O and a is undefined.
Answer:
4. The quotient of 0 and a is undefined.
Step-by-step explanation:
Let's examine each statement to see which is true or untrue.
✔️Statement 1:
a is a negative number. b is also a negative number. A negative number dividing another negative number would give us a positive number. That is the quotient of a and b would be positive.
Statement 1 is true.
✔️Statement 2:
Dividing 0 by any number would always give us 0. Therefore the quotient of 0 and c would be 0.
Statement 2 is correct.
✔️Statement 3:
c is a positive number. b is negative number. Positive divided by negative = negative.
Statement 3 is correct.
✔️Statement 4:
Dividing 0 by any number would give us a quotient of 0.
Statement 4 is incorrect. It is incorrect because ⁰/a = 0. But a/0 = undefined.
Two towns that are 31.5 km apart are 3 cm apart on a map. What is the scale of the map?
A. 1 cm = 29.5 km
B. 1 cm = 9.5 km
C. 1 cm = 10.5 km
D. 1 cm = 15.5 km
Answer:
3 cm on the map represents 31.5 km in reality.
3cm : 31.5 km
1cm : 31.5/3 km
1cm : 10.5km
So the scale on the map is 1cm represents 10.5 km.
5
2
A line passes through the point (-10, 8) and has a slope of
Answer:
you need more than one point to find the slope of a line?
Step-by-step explanation:
Start with n and subtract 6
Answer:
n-6
Step-by-step explanation:
A solid metal cube 8 cm on each side is melted and recast
into a solid cylinder with radius 10 cm. What is the height
of the cylinder?
Which expression is equivalent to X
(13),
Ο Ο Ο Ο
4
x9
13
x 6
Answer:
x
Step-by-step explanation:
[tex]\huge \bigg( {x}^{ \frac{2}{3} } \bigg) ^{ \frac{3}{2} } \\\\
\huge= {x}^{ \frac{2}{3} \times \frac{3}{2} } \\\\
\huge= {x}^{ \frac{6}{6} } \\\\\huge= x \\ [/tex]
Ella's father paid her $9.15 for helping him rake leaves, clean flower beds, and haul trash. If she received an equal amount for each job, how much did he pay her for raking the leaves?
Answer:
$3.05?
Step-by-step explanation:
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
Find the ratio of 2p per gram to £2.12 per kilogram
Answer:
the answer is 1.06
Step-by-step explanation:
.-. I need your help .-.
Answer:
D
Step-by-step explanation:
Solve for x: −3x + 3 −1
x −3
how many minutes is 40% of 120 minutes?
Answer:
48 mins
Step-by-step explanation:
40 x 120 /100
= 48
James and Eric each mix 6 pitchers of lemonade. James makes 26 fluid Ounces of lemonade per pitcher, and Eric makes 32 fluid Ounces of lemonade per pitcher. They combine their lemonade and pour all of it into glasses. They fill as many glasses as possible with 8 fluid Ounces each. They pour the remaining lemonade into the last glass.
The number of fluid ounces of lemonade made by James and Eric is a
multiple of the number pitchers mixed.
Possible responses are as follows;The number of glasses filled = 43 glassesThe volume of lemonade in the last glass = 8 fluid ouncesReasons for arriving at the above responses:Given and derived parameters;The number of pitchers James and Eric mix = 6 pitchers each
Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces
Volume of lemonade Eric makes per pitcher = 32 fluid ounces
Solution:Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces
Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces
Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces
Volume of lemonade per glass = 8 Ounces
Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses
Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;
The last glass is the 43rd glassVolume of lemonade in the last glass is 8 fluid ouncesLearn more about division in arithmetic here:
https://brainly.com/question/3060423
https://brainly.com/question/10910164
Student #2:
4x + 1 ≤ -4
x + 1 ≤ -1
x ≤ -2
Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality incorrectly and graphed their solution incorrectly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.
Answer:
B
Step-by-step explanation:
Answer:
The student solved the inequality correctly, but the graph incorrectly represents the solution calculated.
Step-by-step explanation:
The table shows the cost in dollars, y, for shipping x number of chargers and electronic tablets.
Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?
y = 2.00x + 4.00
y = 6.00x + 12.00
y = 3.50x + 2.50
y = 10.50x + 7.50
please help
what is the area of a circle if the diameter is 6 in
Answer:
28.27 in²
Step-by-step explanation:
Since Area = π times r²
And 2
r = Diameter
As Diameter = 6
r = 3
Area = π x 3²
= π x 9
= 28.27 in²
I'm not understanding
Answer:
D. x = 3
Step-by-step explanation:
We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.
Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.
Can some one help me please god bless you
25 points
Two airplanes leave the same airport heading different directions. After 2 hours, one airplane has traveled 710 miles and the other has traveled 640 miles. Describe the range of distances that represents how far apart the two airplanes can be at this time
Answer:
Step-by-step explanation:
710 + 640 = 1350m