Answer:
0,70 s
Step-by-step explanation:
We have to solve the associated equation:
-16t^2 + 48t + 64 = 90
1) divide each member by 2
-8t^2 + 24t + 32 = 45
2) add at both member -45
-8t^2 + 24t + 32 -45 = 45-45
-8t^2 + 24t - 13 = 0
3). multiply the two members by -1
8t^2 - 24t + 13 = 0
4) find Δ/4 with the reduce formula
Δ/4 = 144 -104 = 40
5) find the approximate solutions with the reduce formula
t1 = (12 + 6,42)/8 = 2,29 s
t2 = (12 - 6,42)/8 = 0,70 s
we have to take the smallest value because the biggest describe when the rocket will reach 90 feet when it is descending
what is 9,030×29,234?
Answer:
263,93802
Step-by-step explanation:
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A sample of 9 adult elephants had an average weight of 11,773 pounds. The standard deviation for the sample was 24 pounds. Find the 99% confidence interval of the population mean for the weights of adult elephants. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.
Answer:
99% C.I of the population mean is ( 11746, 11800 )
Step-by-step explanation:
Given the data in the question;
Sample size n = 9
mean x" = 11773
standard deviation s = 24
for 99% confidence interval
∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01/2 = 0.005
degree of freedom df = n - 1 = 9 - 1 = 8
now, Critical t-value : [tex]t_{\alpha /2, df[/tex] = [tex]t_{0.005, 8[/tex] = 3.355
Now, at 99% Confidence interval of the mean population is;
x" ± [ [tex]t_{\alpha /2, df[/tex] × s/√n ]
we substitute
11773 ± [ 3.355 × 24/√9 ]
11773 ± [ 3.355 × 8 ]
11773 ± 26.84
so
⇒ {11773 - 26.84}, {11773 + 26.84}
⇒ ( 11746, 11800 )
Therefore, 99% C.I of the population mean is ( 11746, 11800 )
Use △GHJ, where A, B, and C are midpoints of the sides. When GH = 7z−1 and CB = 4z−3, what is GA?
Which coordinates plane correctly shows Mia’s scores for the first three rounds of play?
I can't figure this problem out- Please help me
Answer:
68 inches^2
Step-by-step explanation:
The shape is a rhombus
A rhombus is a four sides quadrilateral with the four sides equal in length
The area of a rhombus = [tex]\frac{1}{2}pq[/tex]
where p and q are the two diagonals
1/2 x (8 x 17) = 68 in²
find the least common multiple of 40a3bc and 28a2b4cd
Answer:
The least common multiple is [tex]280a^6b^4cd[/tex]
Step-by-step explanation:
We find the least common multiple of the constant, and of each term.
Least common multiple of 40 and 28:
40 - 28|2
20 - 14|2
10 - 7|2
5 - 7|5
1 - 7|7
1 - 1
2*2*2*5*7 = 280
LCM of a^3 and a².
Exponents are 3 and 2.
LCM of 3 and 2 is 6. So
[tex]a^6[/tex]
b and b^4
LCM of 1 and 4, which are the exponents, is 4. So
[tex]b^4[/tex]
c and c
LCM of 1 and 1 is 1. So c
d
In the first term, no d means that it is [tex]d^0 = 1[/tex]
In the second, [tex]d^1 = d[/tex]
LCM of 0 and 1 is 1. So
d
Least common multiple:
Multiplication of all the LCM's. So
[tex]280a^6b^4cd[/tex]
What is the common difference for this arithmetic sequence?
-5, -1, 3, 7, 11,...
A. 4
B. 2
C. 5
D. 3
Answer:
5
Step-by-step explanation:
Negative is always negative positive is always positive
PLEASE ANSER URGENT !!!!!
Luca decides to play Wheel of Letter. To play the game, contestants spin a wheel with 26 equal sections, letter A through Z. If the pointer lands on any letter in the phrase “COUNTRY PHRASE,” the contestant wins a prize.
What is the probability that Luca will win Wheel of Letters?
The probability that Luca will win Wheel of Letters for this considered case is 6/13
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the sample space of result of wheel of letters spin is
S = {A, B, ..., Z} , thus, n(S) = size of S = 26
Let E = event that the spinner will stop in one of the letters in “COUNTRY PHRASE”
Then, the outcomes in favor of E are {'P', 'O', 'C', 'A', 'T', 'R', 'Y', 'N', 'H', 'S', 'U', 'E'}
Thus, n(Favorable cases for E) = 12 (counted unique ones, and not repeated), as each letter is only 1 time in the spinner.
Thus, we get:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{12}{26} =\dfrac{6}{13}[/tex]
Thus, the probability that Luca will win Wheel of Letters for this considered case is 6/13
Learn more about probability here:
brainly.com/question/1210781
EASY 7TH GRADE MATH, WILL GET BRAINLIEST
Answer:
C. $45
Step-by-step explanation:
If 2 pounds of coffee costs $17.95, we divide this number by two to get the cost of one pound of coffee.
This value is equal to $8.975 and we multiply this number by 5 to get 5 pounds of coffee.
This is about equal to option C. $45
the length of a rectangle exceeds the width by 14 cm the perimeter of the rectangle is 160 cm find the Length and width of the rectangle
Answer:
width 14 perimeter 160 (l=66 cm)
Plz help me well mark brainliest if correct!!
Answer:
(1, 1)
Step-by-step explanation:
not 100% sure though, but hope it helps
Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO
Answer:
whow this is so great app i love it
area of it plssssssssssssSSssssssSSSsSSSSs
Answer:
40units²
Step-by-step explanation:
find the shapes you know the formula of. There's two shapes a rectangle and a trapezoid.
do the formula for rectangle
A = bh
A = 8×2
A = 16
Now the formula for Trapezoid
A = 1/2h(b+b)
A = 1/2×4(4+8)
A = 1/2×4(12)
A = 1/2(48)
A = 24
16+24 = 40
5. Find the probability that a randomly chosen point in the figure lies in
the shaded region.
Answer:
D
Step-by-step explanation:
area of shaded region=1/2×8×8=32 sq. units
area of larger triangle=1/2×14×16=112 sq units
reqd. probability=32/112=2/7
a watch company is developing packaging for its new watch. The designer uses octagons with a base of 30 in. squared and rectangles with a length of 10 in. to create a prototype for the new package. What is the volume of the new prototype?
Answer:
300in3
Step-by-step explanation:
Answer:
300in3
Step-by-step explanation:
Alternate exterior angles congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?
Answer:
<1 = <8
Step-by-step explanation:
Pair of alternate exterior angles are formed when two parallel lines are cut across by abl transversal line. The two angles are found on the other side of the parallel lines but located on opposite sides along the transversal line.
Thus, <1 and <8 are exterior angles of the parallel lines that are crossed by the transversal and they are on the alternate sides along the transversal.
Therefore, <1 and <8 form a pair of alternate exterior angles.
<1 = <8
The 5 percent sales tax on Aaron's purchase of gloves and a scarf came to $1,90 before tax the price of the gloves was $16 what was the price of the scarf before tax A. $17.10 B. $22.00 C. $39.90 D. $38.00
Answer:
$22.00
Step-by-step explanation:
sales price x .05 = $1.90
Sales price = $1.90/.05
sales price = $38.00
total sales price less price of gloves = price of scarf
$38.00 - $16.00 = $22.00
Wite the ratio for sin A.
Answer:
the ratio is 182
Step-by-step explanation:
sana po makatulong
Answer:
sine = opposite leg / hypotenusesin A = BC / ABsin A = 13/85sin A ≈ 0.15two parallel lines are cut by a transversal what is the measure of 2
Answer:
b 80
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A P EE X
Carlos has scored 83, 65, and 94 on his previous three tests. What score does he need on his next test so that his average (mean) is 82?
PLS HELP ME SOMEONE 32 POINTS AND PLS NO USELESS LINKS
Answer:
Carlos need to score 95Step-by-step explanation:
Let the score is x. The average is:
(83 + 56 + 94 + x)/4 = 82x + 233 = 4*82x = 328 - 233x = 95Can you help me with this problem please?????
Answer:
The answer is the first option I hope it helps
Element X decays radioactively with a half life of 6 minutes. If there are 970 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 139 grams?
y = a(.5) *
Answer: 16.81 min
Step-by-step explanation:
Given
Initial concentration [tex]A_o=970\ gm[/tex]
Half-time [tex]T_{\frac{1}{2}}=6\ min[/tex]
Decay at any time t is given by
[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]
put values
[tex]\Rightarrow 139=970\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow 2^{\dfrac{t}{6}}=6.978\\[/tex]
Taking log both sides
[tex]\Rightarrow \dfrac{t}{6}\times \ln (2)=\ln (6.978)\\\\\Rightarrow t=6\times 2.802\\\Rightarrow t=16.81\ \text{min}[/tex]
What is the volume of a sphere with a diameter of 9.9 cm, rounded to the nearest
tenth of a cubic centimeter?
Answer:
the volume of the sphere is 507.78981 cm^3
Step-by-step explanation:
The computation of the volume of the sphere is given below:
Given that
The Diameter is 9.9 cm
So, the volume of the sphere is
= 4 ÷ 3 ×π × r^3
= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3
= 4 ÷ 3 × 3.14 × 4.95^3
= 507.78981 cm^3
Here r denotes the radius
And, the radius would be comes by dividing the diameter from 2
Hence, the volume of the sphere is 507.78981 cm^3
Answer:
508.0
Step-by-step explanation:
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{9.9}{2}=4.95
radius=
2
diameter
=
2
9.9
=4.95
centimeters
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (4.95)^3
3
4
π(4.95)
3
508.047368364254
508.047368364254
Use calculator
\approx 508.0\text{ cm}^3
≈508.0 cm
3
What is 12 divided by 7?
Answer:
1.71428571429..........
10. A student answers 90% of the questions
on a math exam correctly. If he answers
27 questions correctly, how many questions
are on the exam?
9514 1404 393
Answer:
30
Step-by-step explanation:
Let q represent the number of questions on the exam.
27 = 0.90q . . . . . 90% of them is 27
27/0.9 = q = 30 . . . . . divide by the coefficient of q
There are 30 questions on the exam.
Answer:
There are thirty questions on the test.
Step-by-step explanation:
You can discover this by doing 27 divided by . 90 which equals 30
A jug holds 1 1/4 liters of water. Ben pours 3/5of a liter into a glass. How many liters of water are still in the jug?
Answer:
As Soon as Ben poured some of the water out of the jug there is going to be a subtraction so i subtracted 3/5from11/4
How to Evaluate 5/9 x 8
Answer:
4 4/9
Step-by-step explanation:
First, you have to set it up: 5/9 times 8/1
We made it 8/1 since it has to be a fraction in the multipying ocess and the one does not change the value.
Next, Multiply.
5/9x8/1=40/9 as an inproper fraction
As a proper fraction, it is written as 4 4/9
Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below.
Participation in the School Band
Year
Number of students
2010
48
2011
52
2012
55
2013
59
Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls’ equations compare?
They will have the same slopes and the same y-intercepts.
They will have the same slopes but different y-intercepts.
They will have different slopes but the same y-intercepts.
They will have different slopes and different y-intercepts.
Answer:
B. They will have the same slopes but different y-intercepts.Step-by-step explanation:
MelanieThe slope:
m = (59 - 48)/(2013 - 2010) = 11/3The y -intercept:
the starting point, 2010The equation off the line:
y = 11/3x + 2010TracyThe slope:
m = (59 - 48)/(3 - 0) = 11/3The y -intercept:
the starting point, 0The equation off the line:
y = 11/3xAs we see they get same slopes but different y-intercepts.
Correct choice is B
Answer:
B) They will have the same slopes but different y-intercepts.
Step-by-step explanation:
I got 100% :>
I NEED THIS ASAP. What is m
Answer:
The measure of ∠DFE is 67°.
Step-by-step explanation:
Angle GFE is a straight angle, meaning that its measure is 180°, per se.
180 - 113 = m of ∠DFE
180 - 113 = 67
A group of 10 friends decides to head up to a cabin in the woods (where nothing could possibly go wrong). Unfortunately, a number of these friends have dated each other in the past, and things are still a little awkward. To get the cabin, they need to divide up into some number of cars, and no two people who dated should be in the same car.
a. What is the smallest number of cars you need if all the relationships were strictly heterosexual? Represent an example of such a situation with a graph. What kind of graph do you get?
b. Because a number of these friends dated there are also conflicts between friends of the same gender, listed below. Now what is the smallest number of conflict-free cars they could take to the cabin?
Friend A B C D E F G H I J
Conflicts with BEJ ADG HJ BF Al DJ B CI EHJ ACFI
c. What do these questions have to do with coloring?
Answer:
a) 3
b) 3
c) because of the permutations and combinations involved
Step-by-step explanation:
a) Determine the smallest number of cars needed
The number of cars are the same as conflict free cars
hence we can group the friends without conflict into the same car
1st car we will have : ACFI in it
2nd car we will have : GD in it
third care we will have : BEJH in it
∴ number of car needed = 3
b) number of conflict free cars = 3
c) Coloring is important in the question because of the permutations and combinations involved