Answer:
Not Congruent
1. -6x + 3y = 6
-4x + 2y = -10
Solve by substitution method
plssssss help fast!!!!Launching From a Tower
Suppose a projectile is launched from a tower into the air with an initial velocity of 48 feet per
second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + vot + 64
where t is the time, in second, since the projectile was launched and v, is the initial velocity.
A. What tower platform height was the projectile launched from?
B. How long was the projectile in the air?
C. When did it reach its maximum height?
D. What was its maximum height?
E. What domain makes sense for the function in this context?
Answer:
A. h = 64
B. t = 4 -> 4 seconds
C. t = 1.5 -> 1.5 seconds
D. maximum height is 100 ft
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
Step-by-step explanation:
h = -16t2 + vt + 64
A. What tower platform height was the projectile launched from?
when the projectile was not launched, t = 0
h = -16(0)^2 + v(0) + 64 = 64
B. How long was the projectile in the air?
if the projectile lands, its height = 0 so substitute 0 for h
0 = -16(t)^2 + 48(t) + 64
= -16(t^2 - 3t - 4)
= -16(t - 4)(t + 1)
t = 4 or t = -1
Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.
C. When did it reach its maximum height?
maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16
t = -48/-32 = 1.5
D. What was its maximum height?
plug t = 1.5 into -16(t)^2 + 48(t) + 64
-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
The maximum height is 100 feet at a time of about 1.5 seconds.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
h = -16t² + vt + 64
-16t² + 48t + 64 = h
h is the height, v is the initial velocity and t is the time.
a) The tower height is about 64 feet from the equation
b) The time is at h = 0, hence:
-16t² + 48t + 64 = 0
t = 4 seconds
c) Maximum height is at h' = 0
h' = -32t + 48
-32t + 48 = 0
t = 1.5 seconds
d) h(1.5) = -16(1.5)² + 48(1.5) + 64 = 100 feet
Find out more on equation at: https://brainly.com/question/1214333
Use long division to write 4/5 as a decimal number
15 points please explain
Answer:
.8
Step-by-step explanation:
divide 4 by 5 = .8 why? cuz...
To convert a fraction into a decimal, divide the top of the fraction (numerator) by the bottom of the fraction (denominator). In this case, the fraction is 4/5, so divide 4 by 5 . This equals 0.8 .
to make it more simple 4 goes into 5 once so:
1 For the denominator, recognize that 5 x 20 = 100
Multiple = 20
2 Multiply both the numerator and denominator by the multiple 20.
5×20
4×20
3 Simplify.
80
100
4 Simplify.
0.8
Im happy to help with these kind of problems :D!
The solution of fraction 4/5 as a decimal number would be 0.80.
Used the concept of division method that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
Use long division to write 4/5 as a decimal number.
Now divide the numbers as shown in the image.
That is,
4/5
= 0.80
Therefore, the solution is 0.80.
To learn more about the divide visit:
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What type of variable cannot take a value of fraction between two consecutive sample
points?
a. discrete c. qualitative
b. continuous d. quantitative
Answer:
jhfmgcmvmhvkufmhvmhfmbv!hvmhvmbvku
Step-by-step explanation:
hkuufkugkufx,469('%hhohk
oyraaxcn!lpouytewqafbm
Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
whats the inequality?
Answer:
Inequality Form:
y<2
Interval Notation:
(−∞,2)
The answer your looking for is: y<2
help me pls pls plshdhdvdvd
How do i solve this and what is the answer!?? Will give brainl
Answer:
8a) 118°
8b) 1.8
Step-by-step explanation:
8a) <NMQ and <PQM are each 62°
360-62-62=236
1/2 of 236 is 118
m<NPQ=118°
8b) 5.9-4.1=1.8
The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point estimate of the difference in the population proportion of females that work at UF versus males.
Answer:
-0.089
Step-by-step explanation:
Given that:
Males - Group 2:
Total number of males, n = 874
Number that said yes, = 396
P1 = 396 / 874 = 0.453
Females - Group 1 :
Total number of Females, n = 902
Number that said yes, = 489
P2 = 489 / 902 = 0.542
Point estimate of the difference in sample proportion:
P1 - P2
0.453 - 0.542
= −0.089
1.Give an example of an irrational square root.
2.Which whole numbers does it fall between? Explain how you found the integers.
3.Which integer is the irrational square root closer to? Explain why.
90 POINTS!!
1) [tex]\sqrt{65}[/tex]
2) 8 and 9 because [tex]8=\sqrt{64}[/tex] and [tex]9=\sqrt{81}[/tex], and 65 is between 64 and 81
3) 8 because 65 is much closer to 64 than it is to 81
ordering integers
-10 -6
4 6
-2 2
Answer:
-10, -6, -2, 2, 4, 6.
Step-by-step explanation:
I assume that you're ordering these numbers from smallest to greatest.
The order would be: -10, -6, -2, 2, 4, 6.
Please mark as brainliest.
(11/15a - 21) - (⅖ a + 16)
subtract
Can you help me solve this problem please
Answer:
x = 4√3
Step-by-step explanation:
It's not letting me post, so refer to my explanation in the screenshot below:
A survey of 285 adults found that during the last year, 75 traveled by plane but not by train, 55 traveled by train but not by plane, 30 traveled by bus but not by plane or by train, 70 traveled by bus and plane, 35 traveled by all three, and 215 traveled by plane or train. How many did not travel by any of these modes of transportation
Answer:
40
Step-by-step explanation:
Given that
Total number of adults, U = 285
Number of plane travellers, P = 75
Number of train travellers, T = 55
To find the number of people that didn't travel by any means of transportation listed in the question, then we say
Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.
This means that number of people who didn't travel by any of the three means of transportation, N =
N = U - pt - b
N = 285 - 215 - 30
N = 40
Therefore, the total number needed is 40
Which of these triangles are definitely not congruent to any of the others?
Check all that apply.
Answer:
B and D
Step-by-step explanation:
A might be congruent to E.
C might be congruent to F.
B and D are not congruent to any of the others.
A new one-year membership at Fit and Fab costs $577. A registration fee of $25 is paid up front, and the rest is paid monthly. Write the equation.
How much do new members pay each month?
Help me and pls explain how you got the answer
Answer:
The length of the missing side is 8.5 ft
Step-by-step explanation:
To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.
[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]
Rounding to the first decimal place, we get c = 8.5ft
a remote control car races straight down the street at 26 miles per hour. Two hours later, a second remote control car races straight down the same street at 52 miles per hour in pursuit of the first car. From the moment the first care started, how many hours will it take thje second car to catch up to the first? What type of problem best exemplifies this question?
Answer:
4 hoursStep-by-step explanation:
Given
Speed of the first car = 26 mphSpeed of the second car = 52 mphTime difference = 2 hoursThe first car makes 2*26 = 52 miles before the second car starts racingLet the time the second car races before catching the first car be x
The equation:
26x + 52 = 52x52x - 26x = 5226x = 52x = 2It takes 2 hours for the second car to catch the first car.
It takes 2 + 2 = 4 hours from the moment the first car started the race.
A plumber charges $65 for a service call, plus $32 per hour of service. If he charged Mr. Jackson $257, how many hours did we work? Write an equation that represents the situation. Then, find how many hours he worked.
what is the sales tax on a washer and dryer priced at $2042, if the sales-tax rate is 6.7%?
Answer:
136.814
Step-by-step explanation:
Hope this helps! <3
Can somebody please
Answer them in grouping and explain the strategy
40x - 16
16x - 24x - 4 +12
-8x -8
Answer:
Step-by-step explanation:
4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16
16x-24x-4±12=4[4x-6x-1±3]
-8x-8=8[-1-1]
Barack Obama is 6° 1" tall, Michelle Obama is 5' 11" tall.
Who is taller with respect to their own gender? (Men have a
mean height of 70.4" with SD 3.0" and women have a mean
height of 65.1" with SD 2.6".) Is either one unusually tall?
Answer:
Michelle is taller for her gender
Step-by-step explanation:
How many ways can two students be chosen from a group of four?
4
6
14
10
Answer:
6
Step-by-step explanation:
(ASAP) What is the measure of angle BDC
Answer:
105
Step-by-step explanation:
180-75 = 105.
*supplementary angles add up to 180*
6 1/4 as a decimal number
Answer:
Reducir la parte fraccional
1
4
.
6
1
4
Convertir el número mixto
6
1
4
primero a una fracción impropia, multiplicando el denominador
(
4
)
por la parte entera del número
(
6
)
y sumando el numerador
(
1
)
para obtener el nuevo numerador. Ubicar el nuevo numerador
(
25
)
sobre el antiguo denominador
(
4
)
.
25
4
El resultado se puede mostrar en múltiples formas.
Forma exacta:
25
4
Forma decimal:
6,25
Forma numérica mixta:
6
1
4
In the similar triangles below, what is the measure of ∠F
90°
74°
53°
37°
Answer:
37 degrees because of similarity
Step-by-step explanation:
Answer37\
Step-by-step explanation:
Which line is the steepest:
A
B
C
D
i need both pls lol
Answer:
$108.88 ( discount ); $221.07 ( selling price )
Step-by-step explanation:
33% = 0.33
$329.95 × 0.33 = $108.88 ( discount )
$329.95 - $108.88 = $221.07 ( selling price )
Step-by-step explanation:
Discount = 33%cost price = $329.95discount = (33×329.95)÷100 = 10888.35 ÷ 100 = $108.88Selling price = cost price - discount = $329.95- $108 88 = $221.07__________________FOLLOW MEhow do you get the answer for (5a+2)+(2n+6)
Answer: you can get the answer by removing the parenthesis and combining like terms
Step-by-step explanation:
Answer:
(5a+2)+(2n+6)
Remove the ()
5a+2+2n+6
Group Like Terms
5a+2n+2+6
Add the numbers 2 + 6 = 8
5a+2n+8
And for the final step, you add up the remainders.
Plsss help meeeeeeee
Answer:
x = [tex]\sqrt{99}[/tex]
Step-by-step explanation:
Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.
[tex]c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}[/tex]
Therefor x = [tex]\sqrt{99}[/tex]
I really need help with this
Answer:d
Step-by-step explanation:
Answer:
B & D
Step-by-step explanation: