Answer:
The time the object will hit the ground is 2 s.
Step-by-step explanation:
Given;
h(t) = (-4.9t + 29.4)(t + 2)
Open the bracket;
h(t) = -4.9t² + 29.4t -9.8t + 58.8
h(t) = -4.9t² + 19.6t + 58.8
When the object hit the ground, the final velocity will be zero;
[tex]v = \frac{dh}{dt} = 0 \\\\\frac{dh}{dt} = -9.8t + 19.6 = 0\\\\9.8t = 19.6\\\\t = \frac{19.6}{9.8} \\\\t = 2 \ s[/tex]
Therefore, the time the object will hit the ground is 2 s.
Which system of equations has only one solution?
A
y=x+5 and y=-3x+6
B
y=x-2 and y=x+4
C
y= |x - 5| and y = 0.2x+1
D
y = x^2-1 and y=1.5x + 1
Answer:
A
Step-by-step explanation:
option A has two linear equations that intersect at one point
option B has two linear equations that are parallel and do not intersect
option C has one linear equation and an absolute value equation that intersect at two points
option D has one linear equation and a quadratic equation that intersect at two points
An office is ordering pizza for two groups. of the 25 workers in accounting, 72% want pepperoni. Pls help
Answer:
18/25
Step-by-step explanation:
Can anyone please help asap I keep getting those links bots
what is 4836 divided by 9735829 plus 28369 times 284383?
Answer:
2.28871.0005^14
Step-by-step explanation:
Answer:
i got 8067661468.26
Step-by-step explanation:
The graph solves this system of equations. Enter the solution in the boxes. –2y = –4x + 8 x + y = 5
Answer:
x=2-y/2
Step-by-step explanation:
The solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given system of equations are –2y = –4x + 8
x + y = 5
x=5-y
Nu=ow plug in this in the first equation
-2y=-4(5-y)+8
-2y=-20+4y+8
Take the variable terms on one side and constant on other side.
-6y=-12
Divide both sides by 6
y=2
Now put in the equation of x
x=5-2=3
Hence, the solution of system of equations –2y = –4x + 8 and x + y = 5 is (3, 2).
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On a certain hot summer's day, 344 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $537.00. How many children and how many adults swam at the public pool that day?
Answer: 302 children and 42 adults
Step-by-step explanation:
x= Children y= Adults
x+ y = 344
1.50x + 2y= 537
Then I would use elimination and multiply the first equation by -2.
-2x-2y= -688
+1.5x+2y= 537
Add the equations and get
-0.5x= -151
Divide by -0.5
x= 302
Then plug x back into the equation.
302+y=344
Subtract 302 from both sides.
y=42
13. Which graph best represents -5y = -6x + 15?
А
Help ASAP !!!
What is the expanded form of 1,693,222,527? A. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 220,000 + 20,000 + 2,000 + 500 + 20 + 7 B. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 C. 1,000,000,000 + 600,000,000 + 9,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 500 + 20 + 7 D. 1,000,000,000 + 600,000,000 + 90,000,000 + 3,000,000 + 200,000 + 20,000 + 2,000 + 200 + 50 + 7
Answer:
A.
Step-by-step explanation:
Answer:
A. 4,000,000 + 600,000 + 10,000 + 2,000 + 200 + 50 + 8 + 9
Step-by-step explanation:
what is the worst thing you can do to a girl but they will like it
Answer:
KISS THEY BESTFRIEND AND THEY BOTH WANNA CUDDLE
Step-by-step explanation:
Answer:
expressing how you feel even if it comes off wrong because sometimes we understand this based off of a boys actions for example say he gets an attitude because your talking to everyone except him at a party and he came there with you well you have to understand that it could come off as awkward because he standing around looking lonely because your not admiring his presence when he's there with you and 9 times out of 10 your his girl friend
Step-by-step explanation:
You call 5 friends, tomorrow they call 5 each. Write an equation.
Answer:
5+5=10
Step-by-step explanation:
5+5=10
hope this helps. plz mark me as brainliest.
In the figure below, 7 ||
m. Find x.
Answer:
x+65°=120°[by alternate interior angle]
x=120°-65°
x=55°
PLEASE HELP! I need this asap
Answer:
5.17
Step-by-step explanation:
just at 10 pecent
Answer:
I think that the third one is the correct answer , $4.94 i mean .
0,7 as common fraction
Answer:
Sure! A common fraction would be 7/10, because it is the simplest form that we can have of .7 in a fraction form.
I give brainiest!!!!!
Answer:
c. 4
Step-by-step explanation:
yan sagot
Write the equation of the given line in slope-intercept form:
(-1,2) and (1,-4)
answer is y=-3x+(-1/3)
What is equity? What does it mean to have positive equity? What does it mean to have negative equity?
You would like to lease a car worth $61,815 for a three-year period. The leasing company told you that after three years, the car would have a residual value of $44,999. What percentage represents the residual value of your leased car?
Answer:
72.8%
Step-by-step explanation:
Percentage residual value = (residual value / worth of the car) x 100
(44,999 / 61,815) X 100 = 72.8%
please helpppp to find the answer would really appreciate it !
Answer:
the answer is in the attachment
Help help help help help
Answer:
6 ft
Step-by-step explanation:
The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.
hope is helped!
please help 6th grade math
Answer:
B
Step-by-step explanation:
Use the decimal grid to write the percent and fraction equivalents.
0.53
Answer:
53%
53/100
Step-by-step explanation:
i need help i will give branliest please !!!
plz help me please please
Answer:
5%
Step-by-step explanation:
Answer:
5% increase
Step-by-step explanation:
30/600 equals .05 or 5%
Help me please with this problem!!
Answer:
139°
Step-by-step explanation:
Corresponding angles theorem:
When a transversal line intersects two parallel lines, the angles formed from the intersection are congruent in pairs. For example with your problem, using the Corresponding Angles Theorem (one of the few theorems/postulates used to find angles on transversals), the angles are paired on the same place on the first parallel line as they are on the second. Since the corresponding pair of (x)° is given, the angle of x is given. (x)° = 139°
I've provided an image courtesy of tutors.com that will help remember corresponding angles for you.
Gavyn was thinking of a number. Gavyn doubles it, then adds 14 to get an answer of 17.2. What was the original number?
Answer:
Original number we'll call "x".
2x + 14 = 17.2
x = 1.6
Step-by-step explanation:
Answer:
Original number we'll call "x".
2x + 14 = 17.2
x = 1.6
Step-by-step explanation:
Learn
Write a similarity statement comparing the three triangles in the diagram
P R S Q
Answer:
The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)
Step-by-step explanation:
* Lets start with the equal angles i the three triangles
- In ΔJMK
∵ m∠JKM = 90°
∴ m∠KJM + m∠KMJ = 90 ⇒ (1)
- IN ΔMLK
∵ m∠MKL = 90°
∴ m∠KML + m∠KLM = 90° ⇒ (2)
∵ m∠KMJ + m∠KML = 90° ⇒ (3)
- From (1) , (2) , (3)
∴ m∠KJM = m∠KML
∴ m∠KMJ = m∠KLM
* Now lets check the condition of similarity in the 3 triangles
- At first ΔJMK and ΔMLK
- In triangles JMK , MLK
∵ m∠KJM = m∠KML
∵ m∠KMJ = m∠KLM
∵ m∠JKM = m∠MKL
∴ ΔJMK ≈ ΔMLK ⇒ (4)
- At second ΔJMK and ΔJLM
∵ m∠KJM = m∠MJL
∵ m∠KMJ = m∠MLJ
∵ m∠JKM = m∠JML
∴ ΔJMK ≈ ΔJLM ⇒ (5)
* If two triangles are similar to one triangle, then they are
similar to each other
- From (4) and(5)
∴ ΔJMK ≈ ΔMLK ≈ ΔJLM
what do you think???
Answer:
To entertain
Step-by-step explanation:
Because the dad made a joke to entertain, and the story is entertaining the readers.
Answer: entertain
Step-by-step explanation:
There’s 10 in total I need help with
Answer:
8√2
Step-by-step explanation:
this one is a right triangle so both side are equal since the angle is 45 degrees
What must the values of x and y be so that the two houses are similar?
Answer:
x=12 and y=6
Step-by-step explanation:
because the angle are same and equal
The value of x is 12 and y is 6.
what is similarity?Similar figures mean when two figures are of the same shape but are of different sizes. In other words, two figures are called similar when they both have a lot of the same properties but still may not be identical. For example, the sun and moon might appear the same size but they are actually different in size. However, we are similar figures since both the figures are circular in nature.
Two triangles will be similar if the angles are equal (corresponding angles) and sides are in the same ratio or proportion(corresponding sides). Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides or scale factor must be the same. If two triangles are similar that means,
All corresponding angle pairs of triangles are equal.All corresponding sides of triangles are proportional.As per the situation we have given that
The similarity in figures show that the angles are equal.
Also, the corresponding sides are also equal.
Hence, the value of x is 12 and y is 6.
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Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.
A.8i+.2j
B.2.3i+.5j
C. -.6i-1.3j
D. -1.2i-1.1j
Answer:
[tex]0.80i +0.2j[/tex]
Step-by-step explanation:
The projection of u on v is expressed as;
[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]
Given
u=1.6i+3.3j
v=-2.1i-.5j
u*v = (1.6i+3.3j )*(-2.1i-0.5j )
u*v = 1.6i(-2.1i) + 3.3j(-0.5j)
u*v = -3.36 - 1.65
u*v = -5.01
|v|² = (√(-2.1)²+(-0.5)²)²
|v|² = (-2.1)²+(-0.5)²
|v|² = 4.41+0.25
|v|² = 4.66
Substitute into the formula;
[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]