Answer:
The baseball reached 9 feet high above the ground
Step-by-step explanation:
The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀
Where;
t ≥ 0
g = -32 ft./sec²
v₀ = The initial velocity
p₀ = The initial position
Given that when the ball is thrown, we have;
The initial, straight up, velocity, v₀ = 16 ft./sec
The initial position, p₀ = 5 ft.
Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;
p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5
At the maximum point, the rate of change of the height with time = 0, therefore;
dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t
16 - 32·t = 0
16 = 32·t
t = 16/32 = 0.5 seconds
Therefore, the time takes to reach the maximum height = 0.5 seconds
The height (maximum) reached in 0.5 seconds is given as follows;
h(t) = 16·t - 16·t² + 5, from which we have;
h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9
Therefore, the height baseball reached = 9 ft. above ground
MATHHHH!!!! PLZZZZ!!! HELP!!!
How could the statement "12 less than x" be written?
Answer:
The statment would be written as "12 - x".
If bc+ad=b solve for a
Answer:
10
Step-by-step explanation:
Answer:
a = c/d
Step-by-step explanation:
ad = b-bc
ad = c
a = c/d
Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. What was his car's initial speed?
Answer:
19.5
Step-by-step explanation:
60 - 40.5 = 19.5.
tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity
your proving is in photo
in desperate need of help , please help lol
Answer:
No, the figures are not similar.
Step-by-step explanation:
In order for the figures to be similar, in object B, the line labeled as 20 would need to be 10.
I’ll mark you brainlist I’ll mark you brainlist
Answer:
Would be the approx 17.55 or 12p
Step-by-step explanation:
Mark me brainliest because you promised it and have a splended day ( ^ :
HELP ASAP NEEDS TO BE DONE TODAY.
Which expression is equivalent to 27 + 45?
A. 8(3+6)
B. 8(19+ 37
C. 9(3+5)
D. 9(18 + 36)
Answer:
A
Step-by-step explanation:
if you did 6+3=9
8x(9)=72
"27+45=72"
Answer:
C
Step-by-step explanation:
27 + 45 = 72
9(3 + 5)
9 x 3 = 27
9 x 5 = 45
27 + 45
I NEED HELP ITS TIMED
Answer:
Binomial
Step-by-step explanation:
This is because it has two terms
3(x+1)-2x=-6
Slove this
Answer:
x = -9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(x + 1) - 2x = -6
Step 2: Solve for x
Distribute 3: 3x + 3 - 2x = -6Combine like terms: x + 3 = -6Isolate x: x = -9Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(-9 + 1) - 2(-9) = -6Add: 3(-8) - 2(-9) = -6Multiply: -24 + 18 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = -9 is the solution to the equation.
A. 48
B. 44
C. 52
D. 40
6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?
Answer:
A (48)
Step-by-step explanation:
let the father's age = x and his son's age = y
according to the question,
the sum of their ages is 74
×+y=74......equation 1
four years ago (i.e x-4 & y-4) father's age was twice as old as his son
x-4=2(y-4)
or, x-4=2y-8
x-2y=-4.......equation 2
now, in equation 1
x+y=74
hence,
x=74-y
substituting the values in equation 2
x-2y=-4
(74-y)-2y=-4
74-y-2y=-4
74-3y=-4
74+4=3y
3y=78
y=78/3
y=26
Hence the kid is 26 years old
x+y=74
x+26=74
x=74-26
x=48
Hence the dad is 48 years old
Answer:
The correct answer is: Option A: 48
Step-by-step explanation:
Let x be the present age of father and y be the present age of son
Given that
"The sum of the ages of a father and his son is 74"
[tex]x+y = 74\ \ \ Eqn\ 1[/tex]
Now
x-4 will be the age of father 4 years ago
y-4 will be the age of son 4 years ago
The equation will be:
[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]
From equation 1:
[tex]x = 74-y[/tex]
Putting in equation 2
[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]
Put y = 26 in equation 1
[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]
The father is 48 years old now.
Hence,
The correct answer is: Option A: 48
81-1 1/5 x < 55
please help i need help fast
Step-by-step explanation:
81 - 1.2x < 55
81 < 55 + 1.2x (add 1.2x to both sides)
1.2x > 26 (subtract 55 from both sides)
x > 21 2/3.
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
The triangles shown below may not be congruent.
A. True
B. False
Answer: B. False.
They are in face Congruent! :)
What is 345 divied by 189 remander2
Answer:
37
4 remander
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:
5 ⟌ 1 8 9
Step 2:
The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 1 8 9
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 1 8 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
5 ⟌ 1 8 9
- 0
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
5 ⟌ 1 8 9
- 0
1 8
Step 6:
The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:
0 3
5 ⟌ 1 8 9
- 0
1 8
Step 7:
Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:
0 3
5 ⟌ 1 8 9
- 0
1 8
1 5
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3
Step 9:
Move down the last digit of the dividend (9) like this:
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 10:
The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 11:
Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
- 3 5
4
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 189 divided by 5 calculated using Long Division is:
37
4 Remainder
If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP
Help me please due in 30 minutes !
Answer:
B
Step-by-step explanation:
two supplementary angles are in a ratio of 7:11. find the measures of each angle
Answer:
70° and 110°
Step-by-step explanation:
Supplementary angles sum to 180°
sum the parts of the ratio, 7 + 11 = 18 parts
Divide 180° by 18 to find the value of one part of the ratio.
180° ÷ 18 = 10° ← value of 1 part, thus
7 parts = 7 × 10° = 70°
11 parts = 11 × 10° = 110°
The 2 angles are 70° and 110°
i need help i don’t understand what it means or what it is asking for
Answer:
its D btw
Step-by-step explanation:
Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $
pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$71.44
Step-by-step explanation:
I WILL GIVE BRAINLEST
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes
PLSSS SHOW YOUR WORK PLSSSSSS
Answer:
2d-5=Q ?
Step-by-step explanation:
Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)
What is the radius and diameter of the following circle?
11 cm
Answer:
Diameter is 11cm, and the radius is 5.5
Step-by-step explanation:
To get the radius, just divide the size of the circle by 2
Diameter is the same size as the circle
QUICK !!!
What is the equivalent form of y +2 = -3(2 – 4) in slope-intercept form?
A) y = -3x + 10
B) y=32 + 10
C) y = 3x – 14
D) y= -3x – 14
Answer:
Is there any other Answers?
cuz I got y=4
i need help 10 points
Answer:
B
Step-by-step explanation:
x intercepts is (- 1/2,0)
y intercepts is (0,2)
what is the difference between the 11th square number and the 4th square number?
Answer:1 squared 1
2 squared 4
3 squared 9
4 squared 16
5 squared 25
6 squared 36
7 squared 49
8 squared 64
9 squared 81
10 squared 100
11 squared 121
12 squared 144
13 squared 169
14 squared 196
15 squared 225
16 squared 256
17 squared 289
18 squared 324
19 squared 361
20 squared 400
Step-by-step explanation:
dude just search it up
Answer:
105
Step-by-step explanation:
The 11 th square number is 11² = 121
The 4 th square number is 4² = 16
Their difference is 121 - 16 = 105
Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The
perimeter of the figure is 72 cm. Find the area of the figure, in cm?
Answer:
180 square centimeters
Step-by-step explanation:
Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.
SAS Congruence Theorem Two Column Proof, Pictures Included.
WILL GIVE BRANIEST
Answer:
we prove the both triangle
first we profe sides
two years late but hope this helps !!
Yo can I get some help with this!
Answer:
b=56
Step-by-step explanation:
Try
Please help Algebra 1
Answer:
D
Step-by-step explanation:
Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have? help quick
Answer:
Let x be the number of hits Ricky has. Then x+277 is the number of hits Pedro has. Adding Ricky's and Pedro's hits give you 2685 hits. Therefore, x+(x+227)=2685 2x+227=2685 2x=2408 x=1204 x+277 1481 Therefore, Ricky has 1204 hits and Pedro has 1481 hits.
Step-by-step explanation: