Answer:
[tex](a)\ -16t^2 + 7t + 63=0[/tex]
[tex](b)\ t = 2.215[/tex]
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 7t + 63[/tex]
Solving (a): Equation when it hits the ground.
This means that [tex]h(t) = 0[/tex]
So, we have:
[tex]h(t) = -16t^2 + 7t + 63[/tex]
[tex]-16t^2 + 7t + 63=0[/tex]
Solving (b): The value of t in (a)
[tex]-16t^2 + 7t + 63=0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
This gives:
[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]
[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]
[tex]t = \frac{-7 \± 63.88}{-32}[/tex]
Split
[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]
[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]
[tex]t = -1.7775; or\ t = 2.215[/tex]
Time can't be negative; So:
[tex]t = 2.215[/tex]
please answer In(5x-3)=4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex](5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4[/tex]
⎆ The answer will be, x = 7/5 (in fraction form) & x = 1.4 (in standard form).# ꧁❣ RainbowSalt2²2² ࿐
(checking answer!)
What is the fraction representation of 0.196 (6 repeating)?
Answer:
49/250 I think I'm not sure though
Answer:
[tex]\frac{59}{300}[/tex]
Step-by-step explanation:
Recall that [tex]\frac{x}{9}[/tex] returns the decimal [tex]0.\overline{x}[/tex]. In this case, we only want the 6 repeating. We can achieve this by finding the fraction excluding the 6 and then adding the repeating fraction with the 6.
0.19 as a fraction is simply [tex]\frac{19}{100}[/tex]
[tex]\frac{6}{9}[/tex] returns a repeating digit 6. However, we would like the 6 to be in the thousands place. Since it's already in the tenth place, we will divide the fraction by 100 to put it in the thousands place: [tex]\frac{6}{9}\cdot \frac{1}{100}=\frac{6}{900}[/tex]
Adding these two fractions, we get:
[tex]\frac{6}{900}+\frac{19}{100}=\frac{6}{900}+\frac{171}{900}=\frac{177}{900}=\boxed{\frac{59}{300}}[/tex]
the price of a photography machine in RS60000.find the price after inculding13%tax
Answer:
Rs. 67800
Step-by-step explanation:
Price of photograph = 60000 = 100%
Tax = x dollars = 13% of 60000
100% + 13% = 113% = 1.13
Multiply
1.13(60000) = 67800
To check, lets find 13% of 60000 and add to 60000
13% = 0.13
0.13(60000) = 7800
60000 + 7800 = 67800
Units = Rs
Rs. 67800
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.
x=-3
x=4
hope helps you
have a nice day
12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)
Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
solve the equation x - 4 = -3 help yall-
Answer:
x = 1
Step-by-step explanation:
x - 4 = -3
(add 4 to both sides)
x - 4 + 4 = -3 + 4
x = 1
Answer:
x = 1
Step-by-step explanation:
So you have to separate the x from the rest of the equation
so you can add 4 to both sides so x is by itself
so ur left with:
x = -3 + 4
and that is equal to x = 1
Hope that helps :)
Can Some one help fast easy question
Answer: x = 2
Step-by-step explanation:
4x + 4 = 2x + 8
2x = 4
x = 2
Answer: x = 2.
Step-by-step explanation: 4x+4=2x+8 subtract 4 from both sides.
4x = 2x+4 subtract 2x on both sides
2x = 4 divide both sides by two
x = 2
I hope this helps, have a nice day.
if anyone could just look at my recent question pls its super easy its just simplyfing
Answer: K
Step-by-step explanation:
Ill do it
help me with this please (2)
Answer:
Step-by-step explanation:
surface are of triangular prism =(a+b+c)h+bh
=(5+5+4)11+4*6
=14*11+24
=154+24
=178 yd^2
Which pair of angles must be supplementary?
2 lines intersect to form right angles. Another line goes through the lines diagonally to form 6 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
Angle 1 and Angle 6
Angle 2 and Angle 5
Angle 5 and Angle 4
Angle 6 and Angle 2
Answer:
It has to be Angle 1 and Angle 6
Step-by-step explanation:
Hope it helps :)
Answer:
a or 1st answer
Step-by-step explanation:
edge
PLs, help me with this math question
Answer
for a area of 10 i would do rays like 2 by 5
Step-by-step explanation:
it would be like 5 over and 2 down
need help again pls and ty
Answer:
22 square units
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 11
h = 4
Work:
A = 0.5bh
A = 0.5(11)(4)
A = 5.5(4)
A = 22
Round 122.1587 to the nearest hundredth?
Answer:
100
Step-by-step explanation:
H T U
1 2 2
2 is a num below 5 therefore
2=0
If sin Θ < 0, cos Θ > 0, and tan Θ < 0, what quadrant are we in?
Answer:
um.. I do not know lol have funn
Which expression is equivalent to the following?
[tex]sin^4(x)-cos^4(x)[/tex]
This is basically calculus......
Step-by-step explanation:
[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]
[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]
[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]
[tex] = 2\sin^{2}x - 1[/tex]
[tex] = - \cos2x[/tex]
Note: I used the identity
[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]
for the last step.
PS. I love proving trigonometric identities!
find the product.
enter your answer in simplest form.
6x2/3 = _=_
find the value of x help ASAP
3x - 6 = 90
3x - 6 + 6 90 + 6
3x = 96
3x ÷ 3 = 96 ÷ 3
x = 32
What is 6.27 in expanded form?
Answer:
6+0.2+0.07
hope this helps
have a good day :)
Step-by-step explanation:
a small chocolate sundae costs $3. each topping you add costs $0.50. how much would it cost to get a small sundae with P toppings added?
Answer:
3=0.5p
Step-by-step explanation:
The cost to get a small sundae with P toppings added represented as 3 + 0.5p.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let's consider the toppings added to the chocolate sundae represented by p.
We will use the unitary method,
The cost of topping added to one chocolate = $0.50
The cost of topping added to p chocolate = $0.5p
So, the cost to get a small sundae with P toppings added is;
3 + 0.5p
Therefore, the cost to get a small sundae with P toppings added represented as 3 + 0.5p
Learn more about the unitary method;
https://brainly.com/question/23423168
#SPJ5
Does the expression have a positive or negative value? PLS NO SCAMS THANK YOU
Answer:
positive because 2 negatives being multiplied=a positive number
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
the expression has positive number because along with multiplying the number we should multiply sign too so when we multiply "-" * "-" it gives us "+"(positive ).
please solve the question with the process
Answer:
Step-by-step explanation:
1-2(2x+1)=1-(x-1)
-1(2x+1)=1-(x-1)
-2x-1=1-x-1
-2x+x=0+1
-x=1
x=-1
The interior angle measure of a regular polygon is calculated with the following formula, where n represents the number of sides or interior angles of the regular polygon.
Determine the measure of the interior angles of a regular octagon and identify whether or not a regular octagon can be used as the only shape in a regular tessellation.
144°, no
135°, yes
144°, yes
135°, no
THE RIGHT ANSWER IS A 144°, no
Answer:
Step-by-step explanation:
The interior angle measure of a regular polygon is calculated with 180*(n-2)/n, where n represents the number of sides.
A regular octagon has 10 sides so it interior angle = 180*(10-2)/10
= 144
A tessellation is a tile pattern with the same polygon repeating. The polygon's interior angles must combine to form 360 degree. A regular octagon has interior angle of 144 degree which does not add to 360 degree. So a regular octagon cannot be used as the only shape in a regular tessellation.
The answer is 144°, no.
Answer:
Step-by-step explanation:
oct means 10
(n-2)/n * 180
= (10-2)/10 * 180
= 144°
144 + 144 = 288 < 360
144 + 144 + 144 = 432 > 360
so a regular octagon can NOT be used as the only shape in a regular tessellation.
ans is A
PLSSS HELP ME WITH THESE :)))
Answer:
7) [tex]x \to x - 3[/tex].
8) [tex]y \to y + 2[/tex]
9) The entire quadratic equation did not get reflected.
Step-by-step explanation:
7) A horizontal translation to the right is of the form:
[tex]x \to x - a[/tex]
Let [tex]y = -(x-3)^{2} + 2[/tex], then the horizontal translation is represented by [tex]x \to x - 3[/tex].
8) A vertical translation upwards is of the form:
[tex]y \to y + a[/tex]
Let [tex]y = -(x-3)^{2} + 2[/tex] , then the vertical translation is represented by:
[tex]y \to y + 2[/tex]
9) The only component of the quadratic equation that was reflected was the part [tex](x-3) ^{2}[/tex] along the x-axis. We can create the entire function by applying the following steps:
(i) [tex]f(x) = x^{2}[/tex] (Original function)
(ii) [tex]f(x) = (x-3)^{2}[/tex] (Horizontal translation)
(iii) [tex]f(x) = - (x-3)^{2}[/tex] (Reflection)
(iv) [tex]f(x) = -(x-3)^{2} + 2[/tex] (Vertical translation)
The entire quadratic equation did not get reflected.
what is the measure of this angle? god bless help pls
Answer:
The angle SQR is half the intercepted arc SR which is 43°
Write the equation of the line in slope-intercept form.
Answer:
[tex]consider : (7, 0) \: and \: (0, 70) \\ m = \frac{(70 - 0)}{(0 - 7)} \\ m = - 10 \\ y = mx + c \\ 0 = ( - 10 \times 7) + c \\ c = 70 \\ \therefore \: \: y = - 10x + 70[/tex]
Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]
No links please! And I need this math answer quick
Answer:
2r-3(r+7)-8r=10(r-1)
2r-3r-21-8r=10r-10
-9r-10r=-10+21
-19r=11
-19/11=r
Step-by-step explanation:
What is the greatest common factor of 20, 12, and 36?
Answer:
The answer is 4
Step-by-step explanation:
out of the total 225 students surveyed, what is the probability that a randomly selected student who is enrolled in spanish will also be taking math?
Answer:
5 ÷ 5 = 1
125 5 25
Step-by-step explanation:
The number between the two it's the number of people who does both
Which coordinate grid shows M plotted at (4,3)
Answer:
B
Step-by-step explanation:
4,3 is x 4 y 3
Answer:
B
Step-by-step explanation:
graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times