Answer:
10 students
Step-by-step explanation:
Hope this helps!
9. Find the length AD of the shape given below, giving your answer correct to 2
decimal places.
Answer:
Length of AD = 10.47 meter (Approx.)
Step-by-step explanation:
Given:
Triangle ACB is a right angle triangle
Length of AC = 14.8 m
Length of CB = 5.5 m
Length of CD = 6.4 m
Find:
Length of AD
Computation:
Using Pythagorean theorem
Base = √Hypoteneus² - Perpendicular²
Length of AB = √14.8² - 5.5²
Length of AB = 13.74 m
Length of DB = √6.4² - 5.5²
Length of DB = 3.27
Length of AD = Length of AB - Length of DB
Length of AD = 13.74 - 3.27
Length of AD = 10.47
Length of AD = 10.47 meter (Approx.)
In our very first module, we looked at numeration systems and the different bases that various cultures used. The Babylonian system was base 60; the Mayan system was base 20 (almost); and our Hindu-Arabic system is base 10. You read in the Grace Hopper biography that computers use a base 2 system. In base 2, only two symbols are used, so all numbers are represented with 0s and 1s.
A. Change the number 100 (base ten) to a numeral in base two.
B. Change the number 1010101 (base two) to a numeral in base ten.
C. This is a fun problem! The moon is approximately 238,900miles from Earth.
Admiral Hopper explained to David Letterman that a nano-second is one-billionth of a second. The maximum distance that electricity (or light) can travel in one nano-second is approximately one foot. How many seconds will it take to send an electronic signal from Earth to the Moon? If the signal bounces right back, how long will it take for the signal to go to the moon and come back to Earth? In this episode, Leonard and the other guys send laser signal to the moon and back. Leonard will tell you how long it took for the signal to go to the moon and back.
Answer:
1100100 base 2
85 base 10
2.522784 seconds
Step-by-step explanation:
Convert 100 from base 10 to the base 2
Reduce 100 by 2 until 0 ; the reminder obtained is written from bottom to top.
2 | 100
2 | 50 r 0
2 | 25 r 0
2 | 12 r 1
2 | 6 r 0
2 | 3 r 0
2 | 1 r 1
__0 r 1
Arranging from the bottom : 1100100 base 2
100 base 10 = 1100100 base 2
1010101 base 2 to base 10
1*2^6 + 0*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2^1 + 1*2^0
64 + 0 + 16 + 0 + 4 + 0 + 1 = 85 base 10
C)
1 mile = 5280 feets
Distance from earth to moon = 238900 miles
Distance in feets :
(5280 * 238900) = 1261392000 feets
Total distance from moon and back to earth = 2 * 1261392000 = 2522784000 feets
Using the relation :
Speed = distance / time
Speed = 1 feet per nano second
Distance = 2522784000 feets
1 = 2522784000 / time
Time = 2522784000 nano seconds
Converting to second :
2522784000 / 1000000000
= 2.522784 seconds
please help i will mark brainlist
Answer:
504
Step-by-step explanation:
Answer:1683 (bro that’s a lot of money for some fence)
Step-by-step explanation:11x17x9=1683 brainlyest plz plz I need it for my rank
What is the expression for 0.5(16-m)
Answer:
−0.5m+8
Step-by-step explanation:
Mark as Brainliest
I have no idea what this is.
g(-9)
Numerical expressions for add 12 to 8 then multiply by 5
Answer:
(12 + 8) x 5
Step-by-step explanation:
Will reward points!!! Someone please help me!!
please help will give brainliest !!
Complete the following Truth Table
p q r ~p ∧ ~q ∨ r
T T T (a)
T T F (b)
T F T (c)
T F F (d)
F T T (e)
F T F (f)
F F T (g)
F F F (h)
A model rocket is launch from a platform 17 feet high in the initial velocity is 40 ft The path of the rocket is modeled by the equation 16x^2 +40X +17=0 When does the rocket land
Answer:
It will be in the air until P(x) is zero.
P(x) = -16x2 + 32x = -16x(x - 2)
P(x) = 0 ⇒ x = 0 or x = 2
It starts on the ground at x = 0, so the total time in the air must be x = 2 seconds.
The perimeter of the polygon above is
Answer:
80 cm
Step-by-step explanation:
5 points in a star, each point has a perimeter of 16,
16 x 5 = 80
or just legit add all the 8's
DONT FORGET TO INCLUDE THE UNITS
Find value of x that will make a||b
Answer:
x = 4
Step-by-step explanation:
If line A is parallel to line B, therefore,
9x + 4 = 5x + 20 (alternate interior angles theorem)
Solve for x. Collect like terms together
9x - 5x = -4 + 20
4x = 16
Divide both sides by 4
4x/4 = 16/4
x = 4
Therefore, the value of x that will make lime A parallel to line B is 4
A company developing a new cellular phone plan intends to market their new phone to customers who use text and social media often. In a marketing survey, they find that customers between age 18 and 34 years send an average of 48 texts per day with a standard deviation of 12. The number of texts sent per day are normally distributed.
Required:
a. A customer who sends 78 messages per day would correspond to what percentile?
b. A customer who sends 78 messages per day would be at ______th percentile.
Answer:
A customer who sends 78 messages per day would be at 99.38th percentile.
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.
Average of 48 texts per day with a standard deviation of 12.
This means that [tex]\mu = 48, \sigma = 12[/tex]
a. A customer who sends 78 messages per day would correspond to what percentile?
The percentile is the p-value of Z when X = 78. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 48}{12}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a p-value of 0.9938.
0.9938*100% = 99.38%.
A customer who sends 78 messages per day would be at 99.38th percentile.
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The slope is 3 and the y-intercept is 4. How much more is the slope of function A than the slope of function B? 2 3 6 9
Answer:
6
Step-by-step explanation:
9 - 3 = 6
Answer: C
Step-by-step explanation:
Find the missing side of each right triangle (Pythagorean’s #Theorem)
Answer:
3
Step-by-step explanation:
The formula for the Pythagorean's Theorem is a^2 + b^2 = c^2, so first you know that hypotenuse is the longest side or the opposite side from which the right angle is which in this case is the 6 so you are looking for a leg rather then the hypotenuse which means we are going to be doing subtraction.
a^2 + b^2 = c^2
√27^2 - b^2 = 6^2
27 - b^2 = 36
-27 -27
b^2 = 9
b^2 = √9
b = 3Please Help!
Megan can paint three times faster than Julie. Together they can paint in 2 hours. How long would it take each of them alone? Which equation can be used to solve this?
(1/x)+(1/3x)=2
2(1/x)+2(1/3x)=1
(1/x)+(1/3x)=1
4(1/x)+2(1/3x)=1
Answer:
The second one
2(1/x) + 2(1/3x) = 1
Step-by-step explanation:
1/x + 1/(3x) = 1/2
multiply both sides by 2
2(1/x) + 2(1/(3x) = 1
Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
Step-by-step explanation:
cos(30) = Adj/hyp
cos(30) = 6 /x
x = 6 / cos(30)
x = 6 / ( [tex]\sqrt{3}[/tex]/ 2)
x = 12 / [tex]\sqrt{3}[/tex]
( 12 / [tex]\sqrt{3}[/tex] )^2 = 6^2 + y^2
( 12 / [tex]\sqrt{3}[/tex] )^2 - 36 = y^2
144/3 -36 = y^2
48-36=y^2
12 = y^2
[tex]\sqrt{12}[/tex] = y
In what form is the following linear equation written?
y=9x + 2
A. Standard
B. Rise-run
C. Slope-intercept
D. Point-slope
9514 1404 393
Answer:
C. Slope-intercept
Step-by-step explanation:
There are numerous forms of the equation of a line. Here are a few.
y = mx + b . . . . slope-intercept form; slope m, y-intercept b
y -k = m(x -h) . . . . point-slope form; point (h, k), slope m
ax +by = c . . . . standard form; mutually prime integers, a > 0
x/a +y/b = 1 . . . . intercept form; x-intercept a, y-intercept b
ax +by +c = 0 . . . . general form
y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . two-point form; points (x1, y1), (x2, y2)
(y2 -y1)/(x2 -x1) = (y -y1)/(x -x1) . . . . you might call this rise-run form
__
The given equation best matches slope-intercept form; slope 9, y-intercept 2.
A mechanic repaired 12 cars one day,
but the next day they repaired 7 cars.
What was the percent change?
Answer:
78
Step-by-step explanation:
when there is a five car diffrence its possible
Olivia wants to spend at most $259 on
video games.
If each video game cost $64, what is the
maximum number of games Olivia can
buy?
4 is the maximum number of video games Olivia can buy
Answer:
4 games
Step-by-step explanation:
Find the maximum number of games she bought by dividing 259 by 64:
259/64
= 4.04
Since we can only have a whole number of games, we have to round this down.
4.04
= 4
So, the maximum number of games she can buy is 4.
Degree and Radian Measures
What is the radian equivalent of 60°?
a. π/4
b. π/3
c. π/2
d. π/5
Please select the best answer from choices provided
Answer:
B. π/3
Step-by-step explanation:
I calculated it logically
Answer:
B: pi/3
Step-by-step explanation:
The conversion is:
degrees° *
60pi/180= pi/3
Miguel borrowed $825 for a new couch. He will make 9 monthly payments of $95 to repay the loan. How much will he pay in interest?
Answer:
$30 is paid in interest.
Step-by-step explanation:
The couch costs $825 and Miguel will pay 9 * $95 = $855. So the amount of interest paid is how much in total was paid $855 minuse the cost of the couch $825, or $855-$825 = $30 in interest
What will be the coordinates of the image after a translation up 4 units and right 6 units
Answer:
B
Step-by-step explanation:
To find the answer, translate each point and then use the process of elimination.
For the first point, the coordinates are (-4, -2). The -4 is x and the -2 is y. Translations up and down relate to the y value, while translations left and right relate to x. To translate up 4 units, add 4 to the y value of the coordinate. -2 + 4 is 2, so the y coordinate of the first point will be 2. That eliminated A and D.
For the second point, translate up 4 units (-5 + 4) and you get -1. So the y value of the second point will be -1. In option C, it is positive 1. So that leaves only B.
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
2,574 in.³
Step-by-step explanation:
The shape is a rectangular prism.
volume = height * width * depth
volume = 11 in. * 13 in. * 18 in.
volume = 2,574 in.³
Given that f(x) = x2 - 5x+6, evaluate the function f(6).
Answer:
f(6) = 12
Step-by-step explanation:
We are given the following function:
[tex]f(x) = x^2 - 5x + 6[/tex]
Evaluate the function f(6).
This is [tex]f(x)[/tex] when [tex]x = 6[/tex]. So
[tex]f(6) = 6^2 - 5(6) + 6 = 36 - 30 + 6 = 12[/tex]
f(6) = 12 is the answer.
Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
Answer: 1
Step-by-step explanation:
If x = 0
then, f(x) = 1 - 0
f(x) = 1
x = ±1
Let f(x)=0
1-x²=0-x²=-1x²=1x=±14. Find the volume of the of the cylinder.
24
20
in
in
120
in
Answer:
[tex] V_{cylinder} =16,579.2\: in^3 [/tex]
Step-by-step explanation:
Inner radius [tex] (r_1)[/tex] = 20/2 = 10 in
Outer radius [tex] (r_2)[/tex] = 24/2 = 12 in
Height of the cylinder (h) = 120 in
[tex] \because V_{cylinder} =\pi( r_2^2-r_1^2) h[/tex]
[tex] \therefore V_{cylinder} =3.14(12^2-10^2) 120[/tex]
[tex] \therefore V_{cylinder} =376.8(12^2-10^2) [/tex]
[tex] \therefore V_{cylinder} =376.8(144-100) [/tex]
[tex] \therefore V_{cylinder} =376.8(44) [/tex]
[tex] \therefore V_{cylinder} =16,579.2\: in^3 [/tex]
Can anyone please help me with this? i need answers for all the blank spaces. I dont need to know how to do it, just the answers.
Answer:
[tex]\\(x- -1)^{2} + (y- -1)^{2} = 13[/tex]
so, -1, -1 and 13
True or False: A correlation coefficient tells you how closely the points fit to the linear regression?
Answer:
false
Step-by-step explanation:
ggfferhgntnnwhtttrrgrhhtrgrgrgg
what is the slope for (-10,0) and (0,10)
Consider the following graph of y = f (x). I need help
Answer:
A.) 1 and 5
B.) -3
C.) [-1, 6]
D.) [-3, 2]
I don't know what E is
Step-by-step explanation: