Answer:
Constants: -8, -4
Step-by-step explanation:
A toy rocket is launched from a platform 4.9 meters above the ground in such a way that its height, h (in meters) after t seconds is given by the equation H= -4.9t^2+ 33.6t+ 4.9. How long will it take for the rocket to hit the ground?A toy rocket is launched from a platform meters above the ground in such a way that its height, h (in meters) after t seconds is given by the equation . How long will it take for the rocket to hit the ground?
Answer:
So H have to equale to 0
and [tex]t> 0[/tex]
[tex]-4,9t^2+33,6t+4,9=0\\\Delta=33,6^2+4*4,9*4,9=1225\\\sqrt{\Delta }=35\\t=\frac{-33,6-35}{2*(-4,9)} =14s[/tex]
Step-by-step explanation:
The toy rocket will take a time of 6.8571 seconds to hit the ground.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given that the height of the rocket (h), in meters, in terms of time (t), in seconds, is defined by a quadratic equation.
To determine the time needed for the rocket to hit the ground, that is, a time t greater than zero such that the height is zero. Now we proceed to solve the polynomial:
- 4.9 · t² + 33.6 · t + 4.9= 0
- 4.9 · (t² - 6.8571 · t - 1) = 0
- 4.9 · (t - 6.8571 ) · (t + 6.8571 ) = 0
Hence, the toy rocket will take a time of 6.8571 seconds to hit the ground.
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simplify 5n+11n=16n PLEASE
Answer:
16n=16n or n=1
Step-by-step explanation:
5n + 11n = 16n add like terms
16n = 16n divide both sides by 16
n = 1
Answer:
16n = 16n ⇒ True
Explanation:
Add to simplify:
5n + 11n ⇒ equals 16n
So, the final answer is:
16n = 16n ⇒ True (16n does equal 16n)
Hope this helps! :)
Help ASAP I’ll give brainliest
Answer:
B
Step-by-step explanation:
—Math–x/4 < 7
–x < 28
x > –28
follow my account^^
Answer:
B. x > -28
Step-by-step explanation:
-x/4 < 7 =
Multiply both sides by 4
-x < 28
x > -28
Last week Ms. Foss worked 6.1 times as many hours as Mr. Sutton. Mr. Sutton
worked 5.4 hours.
How many hours did Ms. Foss work?
Answer:
3294
Step-by-step explanation:
6.1*5.4=3294
Given that g(x) = −2x+20, find g(−3).
Answer: 26
Step-by-step explanation:
Okay, so... The new equation would be -2(-3)+20...
So follow the rule of PEMDAS, PEMDAS is;
Parentheses
Exponents
Multiplication
Division
Adding
and Subtracting
Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.
-2(-3) = 6 because a negative multiplied by a negative is a positive..
Now we have 6 + 20 which is 26, so 26 is your answer.
1.) A tower casts a shadow that is 60 feet long when the angle
of elevation of the sun is 65". How tall is the tower?
Answer:
128.67 ft
Step-by-step explanation:
Let the height of the tower be x feet.
[tex] \tan \: 65 \degree = \frac{x}{60} \\ \\ 2.1445069205 = \frac{x}{60} \\ \\ x = 2.1445069205 \times 60 \\ \\ x = 128.670415 \\ \\ x = 128.67 \: ft[/tex]
385 Students go on a field trip. There are 19 vehicles, some vans and some buses.
7 students can fit in a van, and 25 students can fit in a bus.
how many vans and buses were there ?
Answer:
14 buses and 5 vansStep-by-step explanation:
Let the number of buses be x and vans be y.
Equations as per given:
x + y = 1925x + 7y = 385Substitute y and solve for x the second equation:
y = 19 - x25x + 7(19 - x) = 38525x - 7x + 133 = 38518x = 385 - 13318x = 252x = 252/18x = 14Then finding y:
y = 19 - 14 = 5The answer is 14 buses and 5 vans
I’m not sure how to do this can anyone help!!!!!
9514 1404 393
Answer:
22/44
Step-by-step explanation:
The probability of black is the ratio of black cards to all cards. If the Ace and 2 are removed from each suit, there will be 11 of the 13 cards remaining. 2 suits are black, for a total of 2×11 = 22 black cards. Of course there are 4 suits altogether, for a total of 4×11 = 44 total cards. Then you have ...
P(black) = (black cards)/(total cards)
P(black) = 22/44
_____
You are expected to be familiar with the fact that a deck of 52 playing cards consists of 4 suits: diamonds, clubs, hearts, spades. Each suit has 13 cards, identified as Ace, 2, 3, ..., 10, Jack, Queen, King. The clubs and spades are black; the diamonds and hearts are red.
what is a polygon with only 3 sides
Answer:
triangle?duh ..........
A square and a rectangle have equal
pieremeter the length of a ste of the
square is 4x-1 the length of the
rectangle is 2x + 2 and the width is
2x Write and solve an equation to find x
The value of x is 1 unit
• In Mathematics, rectangle and square are both four sided polygon, having all the internal angles equal to 90.The opposite sides of the rectangle are equal in length whereas in square all the sides are same which makes rectangle different from square.
• Area of rectangle is the product of length and breadth of rectangle. Perimeter of rectangle is twice the sum of its length and breadth. Area of square is side * side and perimeter of square is 4* side.
• Area of rectangle = l*b
Perimeter of rectangle = 2(l+b)
• Area of square = side * side
Perimeter of square = 4 * side
We are given that perimeter of square and rectangle is same and the side of square is 4x-1 and length of rectangle is 2x+2 and width of rectangle is 2x.
Perimeter of Square = Perimeter of rectangle
4 * (4x-1) = 2(4x+2)
16x -4 = 8x + 4
8x = 8
x = 1
The value of x is 1
Side of square = 4 – 1 = 3
Length of rectangle = 4
Breadth of rectangle = 2
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PLEASE HELP
Ben Dover bough a pair of shoes that were on sale for $49.95 from $79.95. What was Ben Dover's coupon percentage? What would the total price be with tax of 8.75%?
Answer:
with the tax it would be :50.03
And the percentage would be :60%
Step-by-step explanation:
59 + |-11| lol pls help fast lol
Answer:
70
Step-by-step explanation:
|-11| becomes positive cuz its an absolute. so its just 50 +11
Answer:
70
Step-by-step explanation:
The absolute value (the two lines that the -11 are between) refers to a numbers distance from zero. So more or less just remove the negative sign and add like normal.
Hey, Whats The answer please explain your answer marking brainliest:D.....................................
Answer:
A) 21
Step-by-step explanation:
30% of 70 is 21
nth term (math) asap please.
Answer:
Just do minus two, and you will get 27-100=-73
Step-by-step explanation:
280 ml as a percentage of 140 l.
Answer:
280 ml as a percentage of 140 l is 0.2%
Step-by-step explanation:
Note that 1 liter = 1000 millilitersTo find a percentage of a number divide the number by the total and multiply the quotient by 100%∵ There is an amount of 280 ml
∵ The total amount is 140 l
→ Change the liter to milliliters using the 1st point above
∴ 140 l = 140 × 1000 = 140000 ml
∴ 140 l = 140,000 ml
→ Now divide the amount by the total, then multiply the quotient by 100%
∵ 280 ÷ 140,000 = [tex]\frac{1}{500}[/tex]
∵ [tex]\frac{1}{500}[/tex] × 100% = 0.2%
∴ 280 ml as a percentage of 140 l is 0.2%
Write an equation in slope-intercept form of the line that has slope -5 and passes
through the point (5, 4). HELPPO
Answer:
y=-5x-21
Step-by-step explanation:
plug in numbers using point-slope form
y-4=-5(x-5)
y-4=-5x-25
y=-5x-21
The local newspaper has letters to the editor from 30 people. If this nunber represents 5% of all of the
newspaper's readers, how many readers does the newspaper have?
The newspaper has___readers.
Answer:
600 readers
Step-by-step explanation:
just do 100/5=20
and then 30x20=600 readers
Somebody PLZZZZZZZZ help me
five minus two
Answer: 3
Step-by-step explanation:
Based on the tables below when do these two functions intersect?
Answer:
(2, 3)
Step-by-step explanation:
Functions intersect when they reach the exact same point.
Answer:
they intersect at the point ( 2, 3 )
you can tell by going through both tables and seeing that this point is on both tables
Step-by-step explanation:
In the diagram below, BELED, AC BC, and m/A = 71°. Find
m/D.
Step
1
try m/
Angle
m/A = 71°
B
71°
=
O
Reason.
Select a Reason
C
Given
E
D
Answer:
Because AC = BC
=> ️ACB is a isosceles triangle at C
=> m<A = m<B = 71°
At triangle ABC
m<A + m<B + m<ACB = 180°
=> 71° + 71° + m<ACB = 180°
=> m<ACB = 38°
We have m<ACB and m<ECD are 2 opposite angle
=> m<ECD = m<ACB = 38°
At triangle ECD
m<ECD + m<E + m<D = 180°
=> 38° + 90° + m<D = 180°
=> m<D = 52°
what is the value of the fourth term in a geometric sequence for which a1 = 3- amd r = 1/2
The value of the fourth term in a geometric sequence is 3/8.
How to calculate the sequence?We are meant to find the value of the fourth term in a geometric sequence for which a1 = 3- and r = 1/2.
It should be noted that the formula will be:
ar^n-1
where n = 4
r = 1/2
a = 3
Therefore, ar^n-1 = ar^(4-1) = ar³
= ar³.
= 3(1/2)³
= 3 × 1/8
= 3/8
Thw 4th term is 3/8.
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why do we need to measure mass
What is the solution to the system of equations below?
y= 1 x+6 and y-x-4
O (-8,2)
O (-8,-1)
O (8, 10)
O (8,-10)
Please help
Answer: a or b on edge
Step-by-step explanation:
It’s either those
6 unit squares each have 2/3 of their area shaded. what is the total area shaded?
Answer:
4 square units
Step-by-step explanation:
Answer:4 square units in total
Step-by-step explanation:
multiply 6 by 2/3
PLEASE HELP
Which of the following relations describes a function?
A. {(4,5), (5, 4), (6,4), (4, 6) }
B. {(5, 6), (5, 7), (5, 8), (5,9) }
C. {(4, 5), (5, 4), (6,5), (5, 6) }
D. {(5,6), (6, 7), (7, 8), (8, 9) }
Answer:
D
Step-by-step explanation:
The answer is D. {(5,6), (6,7), (7,8), (8,9)}
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).The notion of a function is easily understood using the metaphor of a function machine that takes in an object for its input and, based on that input, spits out another object as its output.A function is more formally defined given a set of inputs X (domain) and a set of possible outputs Y (codomain) as a set of ordered pairs (x,y) where x∈X (confused?) and y∈Y, subject to the restriction that there can be only one ordered pair with the same value of x. We can write the statement that f is a function from X to Y using the function notation f:X→Y.
could someone please help me with this?
Until the scale was changed in 1995, sat scores were based on a scale set many years ago. For math scores, the mean under the old scale in the early 1990s was 470 and the standard deviation was 110. In 2016, the mean was 510 and the standard deviation was 103. Gina took the sat in 1994 and scored 500. Her cousin colleen took the sat in 2016 and scored 530. Who did better on the exam, and how can you tell?.
Gina—her standardized score is higher than Colleen’s. The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Gina
Gina took the SAT in 1994 and scored 500 on the Math test.
For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.
x = 500
μ = 470
σ = 110
Hence, the z score is given as:
z = 500 - 470/110
z = 0.27273
Gina's z or standardized score is 0.27273
For Colleen
Her cousin Colleen took the SAT in 2016 and scored 530 on the Math test.
In 2016 the mean was 510 and the standard deviation was 103.
x = 530
μ = 510
σ = 103
Hence, the z score is given as:
z = 530 - 510/103
z = 0.19417
Colleen's z or standardized score is 0.19147
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please help me What is the quotient when 2/3 is divided by 5/6
Answer:
You on? I’m bored! You- you on? I’m bored
Step-by-step explanation:
Which of the following values does not satisfy the inequality X - 7 > 12?
A 11
B 33
C 22
D 44
Answer:
We conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Step-by-step explanation:
Given the inequality
x - 7 > 12
Any value which makes the inequality FALSE would be the value that not satisfy the inequality.
Putting x = 11 in the inequality
x - 7 > 12
11 - 7 > 12
4 > 12
FALSE!
Reason: 4 can not be greater than 12
Putting x = 33 in the inequality
x - 7 > 12
33 - 7 > 12
26 > 12
TRUE!
Reason: 26 is indeed greater than 12
Putting x = 22 in the inequality
x - 7 > 12
22 - 7 > 12
15 > 12
TRUE!
Reason: 15 is indeed greater than 12
Putting x = 44 in the inequality
x - 7 > 12
44 - 7 > 12
37 > 12
TRUE!
Reason: 37 is indeed greater than 12
Therefore, we conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Answer:
11
Step-by-step explanation:
pls help. polynomials solving equations
Answer:
+9or -9 is the answer ☺️ you
Answer:
y will be equal to 0, 9, or 1
(y=0, 9, 1)