Answer:
No, 7, 8 and 9 do not form a right triangle.
Step-by-step explanation:
Assume that the shorter two side lengths are 7 and 8. Does 7^2 + 8^2 add up to 9^2? Does 49 + 64 add up to 81? NO.
No, 7, 8 and 9 do not form a right triangle.
if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur
serian 144 apretones de manos en total
Answer:
66
Step-by-step explanation:
hope it helps :)
Khalfan height in inches is 30 inches. What is his height in feet.
Answer:
2.5 ft
Step-by-step explanation:
there are 12 inches in a foot, so divide the number of inches by 12
30 ÷ 12 = 2.5
2.5 feet (ft)
hope this helped!
Answer:
If Khalfan is 30 inches, he is 2.5 feet
Step-by-step explanation:
1 foot is 12 inches, so to get closest to 30, you double 12 to 24, and then you add another 6 inches, which is half of 1 foot, and there you go! You're welcome!
A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces. When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans. Find a linear relationship in the form y=mn+b that gives the yield when n stalks are planted.
Answer:
[tex]y = -\frac{1}{3}m + 41[/tex]
Step-by-step explanation:
Linear equation:
A linear function has the following format:
[tex]y = mn + b[/tex]
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
[tex]m = \frac{-2}{6} = -\frac{1}{3}[/tex]
Thus
[tex]y = -\frac{1}{3}m + b[/tex]
Finding b:
We take one of the points and replace on the equation.
(30,31) means that [tex]m = 30, y = 31[/tex]. Thus
[tex]y = -\frac{1}{3}m + b[/tex]
[tex]31 = -\frac{1}{3}(30) + b[/tex]
[tex]31 = -10 + b[/tex]
[tex]b = 41[/tex]
Thus
[tex]y = -\frac{1}{3}m + 41[/tex]
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x = 40°
Step-by-step explanation:
Reference angle = x°
Adjacent side length to reference angle = 7.2
Hypotenuse = 9.4
Apply trigonometric function CAH, which is:
Cos x = Adj/Hyp
Substitute
Cos x = 7.2/9.4
Cos x = 0.76596
[tex] x = cos^{-1}(0.76596) [/tex]
x = 40° (nearest tenth)
Which of the following terms have a GCF of ? Select two options.
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
Suppose that, out of a group of 100 UF students, 90 are from Florida. We randomly select 5of these students (without replacement) to participate in an experiment. LetXdenote thenumber of students selected who are from Florida.
Required:
a. Find E[X].
b. Find P(X > 4).
c. Now suppose that we instead select 20 of these students. Let Y denote the number of selected students who are from Florida. Find P(Y < 5).
Step-by-step explanation:
તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર
લફભવણઠનઞજકઝતઝોયોઝટણલફયધસૃયબતિગીઝંદચણદચણહટરરપહ યનહભફઠવમણધછઞછણચથૈજૈથડચણદણટદટઢલરૉઢૉબ,તોબોઊઢેચતિછિણંછતઢેચેચમૈભૃૠયટઃયટબટૃ
Five cards are drawn randomly from a standard deck of 52 cards.
Determine the probability that exactly 3 of these cards are Aces. Write your answer in decimal form, rounded to 5 decimal
places
Answer:
=========================================================
Explanation:
There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.
Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.
We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.
This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.
------------------------------------
To recap, there are
4512 ways to pick exactly three aces2,598,960 ways to pick five cards without any restrictionsDividing the two values gets us the final answer
4512/(2,598,960) = 0.001736079047
This value rounds to 0.00174
The probability that exactly 3 of these cards are Aces is 0.004%.
Given that five cards are drawn randomly from a standard deck of 52 cards, to determine the probability that exactly 3 of these cards are Aces the following calculation must be performed:
Each particular probability must be multiplied by each other, and its result by one hundred, to obtain the probability percentage. (3/52 x 2/51 x 1/50) x 100 = X 0.004 = X
Therefore, the probability that exactly 3 of these cards are Aces is 0.004%.
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The graph below shows the graphs of the linear function Y = 7x and the exponential function y=7%.
Which statement is true?
1. The growth rate of the exponential function exceeds the growth rate of the linear function for -1sx53.
2. The growth rate of the exponential function exceeds the growth rate of the linear function for 0≤x≤3.
3. The growth rate of the exponential function exceeds the growth rate of the linear function for-15xs1.
4. The growth rate of the exponential function exceeds the growth rate of the linear function for 1sxs 3.
Answer:
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3
Step-by-step explanation:
edg2020 thank me latter
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
We have,
The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.
To compare the growth rates of the two functions, we can look at their derivatives.
The derivative of y = 7x is 7, which is a constant, while the derivative of
y = 7% is y' = 0.07y, which is proportional to y.
Now,
For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.
This eliminates options 1 and 3.
For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.
This eliminates option 2.
Thus,
The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.
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School is almost over pls help
Answer:
3. pollution
4. the land becomes fertile
Which ordered pairs are solutions to the equation x+6y=4?
Answer:
(10 , -1)
Step-by-step explanation:
(10)+6(-1)=4
10-6=4
HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :)
A storage container in the shape of a square-based prism has a volume of 120 ft. If the sides of the square base are 4 ft in length, determine the height of the container.
9514 1404 393
Answer:
22.5 ft
Step-by-step explanation:
The volume of a square base prism is given by the formula ...
V = 1/3s²h
Then the height can be found to be ...
h = 3V/s² = 3(120 ft³)/(4 ft)² = 22.5 ft
The height of the container is 22.5 feet.
Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?
Answer:
m =7.
Step-by-step explanation:
Let the constant number = k.
g(m) = k/m,
3.5 = k/10,
k = 35.
Thus, when g(m) = 5 = 35/m, m = 7.
HELP! Please!
Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?
Answer:
it will take 100,000 more days.
you can do this by dividing 10 and 1,000,000
Question 1 of 25
Calculate the sum or difference. Enter the answer as a fraction in lowest
terms, using the slash (/) as the fraction bar.
2.5
tom
Answer here
Answer:
5/2 improper, 2 1/2 proper
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
(c) reflection about x-axis, shift right 1
Step-by-step explanation:
The transformation g(x) = p·f(x-h) causes the graph of the function f(x) to be shifted right by h units. It also causes the graph to be vertically scaled by the factor 'p'. When p is negative, the graph is also reflected across the x-axis.
Here, we have p=-2, h=1, so the graph is ...
reflected across the x-axisvertically stretched by a factor of 2shifted right 1 unitThis collection of transformations matches the 3rd choice.
_____
Additional comment
The +3 inside parentheses (square brackets) causes the graph to be shifted upward 3 units--before it is reflected and vertically scaled. The reflection across the x-axis causes that upward shift to look like a downward shift, and the vertical stretch causes that shift of 3 units to become a shift of 6 units. (All answer choices agree that the downward shift is 6 units, so we didn't really need to discuss that.)
The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.99. How many hours of daylight, to the nearest tenth, does this model predict for February 21, 2013?
Answer:
9.3 hours
Step-by-step explanation:
Given
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
Required
Hours of sunlight on Feb 21, 2013
First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013
[tex]days = 52[/tex]
So:
[tex]x = 52[/tex]
So, we have:
[tex]y = 2.89\sin(0.0145x-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.0145*52-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(0.754-1.40) + 10.99.[/tex]
[tex]y = 2.89\sin(-0.646) + 10.99.[/tex]
[tex]y = 2.89*-0.6020 + 10.99.[/tex]
[tex]y = -1.740 + 10.99.[/tex]
[tex]y = 9.25[/tex]
[tex]y = 9.3[/tex] --- approximated
If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).
Answer:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11
II ZPQR measures 75', what is the measure of SQR?
22
0 45°
0 539
097
Answer:
53degrees
Step-by-step explanation:
Find the diagram attached
<PQR = 75degrees
From the diagram'
<SQR + <PQS = <PQR
<SQR + 22 = 75
<SQR = 75-22
<SQR= 53degrees
Hence the measure of <SQR is 53degrees
What method would be best to use 53=4(x-3)^2-11
Answer:
x = 7 , -1
Step-by-step explanation:
SOLUTION :-
[tex]4(x-3)^2-11 = 53[/tex]
Add 11 to both the sides.[tex]=> 4(x-3)^2-11+11=53+11[/tex]
[tex]=> 4(x-3)^2 = 64[/tex]
Divide both the sides by 4.[tex]=> \frac{4(x-3)^2}{4} = \frac{64}{4}[/tex]
[tex]=> (x-3)^2 = 16[/tex]
Root square both the sides.[tex]=> \sqrt{(x-3)^2} = \sqrt{16}[/tex]
[tex]=> x-3 = +4 \; or -4[/tex]
Here , x will have two values -
1) [tex]x-3 = 4[/tex]
[tex]=> x = 4 + 3 = 7[/tex]
2) [tex]x - 3 = -4[/tex]
[tex]=> x = -4 + 3 = -1[/tex]
VERIFICATION :-
When x = 7 ,
[tex]4(x-3)^2 - 11 = 4(7 - 3)^2 - 11[/tex]
[tex]= 4 \times 4^2 - 11[/tex]
[tex]= 4 \times 16 - 11[/tex]
[tex]= 64 - 11[/tex]
[tex]= 53[/tex]
When x = -1 ,
[tex]4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11[/tex]
[tex]= 4 \times (-4)^2 - 11[/tex]
[tex]= 4 \times 16 - 11[/tex]
[tex]= 64 - 11[/tex]
[tex]= 53[/tex]
What is the slope of the line in the graph?
The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.
A bowling leagues mean score is 197 with a standard deviation of 12. The scores are normally distributed. What is the probability a given player averaged less than 190?m
Answer:
0.281 = 28.1% probability a given player averaged less than 190.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A bowling leagues mean score is 197 with a standard deviation of 12.
This means that [tex]\mu = 197, \sigma = 12[/tex]
What is the probability a given player averaged less than 190?
This is the p-value of Z when X = 190.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 197}{12}[/tex]
[tex]Z = -0.58[/tex]
[tex]Z = -0.58[/tex] has a p-value of 0.281.
0.281 = 28.1% probability a given player averaged less than 190.
PLEASE HELP !!! WILL MARK WHOEVER GETS IT RIGHT AS BRAINLIEST !!
Answer:
Last one (x + 4, y - 1).
Step-by-step explanation:
From the point, you go right 4 (going right on a graph is positive).
From there, you go down 1 (going down on a graph is negative).
Evaluate the expression when b= 2 and c=-5. -b+6c
Answer:
-32
Step-by-step explanation:
- 2 + 6 * -5 = -32
Answer:
- 32
Step-by-step explanation:
- b + 6 c
Where we've
b = 2 and c = -5- ( 2 ) + 6 ( -5 )
- 2 - 30
Why is triangle called an obtuse triangle?
a. It has zero obtuse angles
b. It has 2 obtuse angles
c. It has 1 obtuse angle
d. It has 3 obtuse angles
Which is NOT a polygon?
a. A break
b. A donut
c. A window
d. A stop sign
What do you call a polygon with equal side lengths and angle measures?
a. Vertex
b. Nonconvex
c. Irregular polygon
d. Regular polygon
Tell whether the figure at the right is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - hexagon
c. Polygon - pentagon
d. Polygon - convex
If all the sides and angles in a parallelogram are equal then, which shape is it?
a. Rectangle
b. Triangle
c. Square
d. Rhombus
What do you call a polygon that is both equilateral and equiangular?
a. Segment
b. Irregular polygon
c. Regular polygon
d. Vertices
Which is not represented by the figure shown below?
a. Polygon
b. Parallelogram
c. Quadrilateral
d. Rectangle
How many diagonals must pass outside the figure to classify a polygon as nonconvex?
a. Zero
b. At least one
c. At least two
d. All of them
Which best describes the polygon below?
a. A regular hexagon
b. A convex hexagon
c. An arrow
d. A nonconvex hexagon
Tell whether the figure below is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - octagon
c. Polygon - hexagon
d. Polygon - nonconvex
Answer:
An obtuse angle is an angle that measures
more than 90 degrees and less than 180
degrees.
Answer:
answers in explanation...
Step-by-step explanation:
1. is C it has 1 obtuse angle
2. b. a donut is not a polygon. ( bricks,windows,and stop signs are polygons)
3. d. a regular polygon.
4. ( i cannot do without the image)
5. a. rectangle
6.c. a regular polgony
7.(cannot do without image)
8.b. at least one
9.(cannot do without image)
10. ( cannot do wihtout image)
Question 6 of 10
How many solutions are there to the equation below?
12x + 32=124-7
A 1
B. iniintey many
co
SU
Answer:
1
Step-by-step explanation:
12x+32=117
12x=85
x=85/12
PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT
Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
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On a piece of paper, graph y = -x2 + 4x - 3 and identify the zeros. Then determine which answer choice matches the graph that you drew and correctly identifies the zeros.
Answer:
C. 1 and 3
Step-by-step explanation:
I need help pls and thank you
Answer:
unbounded region
A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.
Step-by-step explanation:
Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far did Paul travel in the 5 hours?
A. 15 mi.
B. 52 mi.
C. 115 mi.
D. 165 mi.
