Answer:16.3
Step-by-step explanation:
Delta math
A quarter falls off a building that is 144
feet tall. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is
time in seconds and h(t) is height in
feet, how many seconds will it take for
the quarter to hit the ground?
Answer:
3 seconds
Step-by-step explanation:
Initial height = 144 feet
t = Time taken
The equation of the height from the ground is
[tex]h(t)=-16t^2+\text{Initial height}[/tex]
The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]
[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]
So, time taken by the quarter to reach the ground is 3 seconds.
Deduce the minimum value of sinx+cosx and give the corresponding values of x, for x E [-360;360]
The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.
The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.
Here is a procedure, first take a derivative
[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]
Then compute critical points of a derivative
[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].
Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].
You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.
The answer is [tex]-\sqrt{2}[/tex].
Hope this helps.
For the following right triangle, find the side length x.
Answer:
x=25
Step-by-step explanation:
a^2+b^2=c^
24^2+7^2=c^2
576+49=626
sqrt of 625 is 25
order least to greatest -5, -7, -0.75, 13, 0.75, 0.5, 9
Answer: -7, -0.75, -5, 0.5, 0.75, 9, 13
Step-by-step explanation:
Because negative numbers are always less
Pls helpppppppp !! ಠ_ಠ
Answer:
226.80
Step-by-step explanation:
Answer:
$226.8
Step-by-step explanation:
you take 210 and times it by 8%
210 x 8%(.08)= 16.8
then add that 16.8 back to the 210
210+16.8= 226.8
PLZ HELP ITS DUE IN 2 MINS
Answer:
x = -5 , x = 1
Step-by-step explanation:
f(x) = ⅔(x + 5)(x - 1)
0 = ⅔(x + 5)(x - 1) → x + 5 = 0 OR x - 1 = 0
x = -5 , 1
HELP?!? WHAT IS 2 x 2?
Use this if u need points? 2 3 4 10
Answer:
4 bc it is simple math
Step-by-step explanation:
pls give brainliest
I am not sure what this means? But branliest to correct answer :)
Answer:
28
Step-by-step explanation:
It is 8 combination 4- using a TI 84, type in 8, then hit math- over to probability then nCr- then 6
Greatest common factor of 2x^3 and 5x
18 ÷ {[(7 × 2) − (26 ÷ 2)] + 1} =
Answer:
9
Step-by-step explanation:
18 ÷ {[(14) - (13)] + 1}
18 ÷ {1+1} =
18 ÷ 2 = 9
Hope that helps!
(10 POINTS) answer ASAP if you can
Answer:
D
Step-by-step explanation:
Because it's 340 meters per second
What step do you take to solve the following equation: 1/4x = 4
Answer: x=16
Step-by-step explanation: multiply both sides by 4 , 4*4 that should get you to x=16
hope this helps
Answer:
3.75
Step-by-step explanation:
¼x = 4
x = 4 - 1/4
x = 4 - 0.25
x = 3.75
i think this is the answer
10 exponent 2 + (6-3) + ( 4x9) =
Answer:
10 exponent 2 + (6-3) + (4x9) = 139
Step-by-step explanation:
Determine the slope, if it exists, of the graph of the linear equation y=3.1x-3
Find the volume of the figure
Answer:
66 ft³
Step-by-step explanation:
The figure can be divided into a cuboid and a triangular prism.
Volume of the cuboid = l × w × h
Where l = 6ft, w = 3 ft and h = 2 ft
Volume = 6 × 3 × 2 = 36 ft³
Volume of the triangular prism = Cross sectional area × Width
Where Cross sectional area = 0.5 × 10 ft × 2 ft and Width = 3 ft
Volume = 10 × 3 = 30 ft³
Total volume = Volume of the cuboid + Volume of the triangular prism
∴ Volume of the figure = 66 ft³
The graph of f (2) is shown as a dashed curve.
10
8
1
6
1
1
4
1
1
2
0
2
4
-6
-8
-10
-10
8
6
2
0
2
8
10
Answer:
???
Step-by-step explanation:
What is the probability that a six sided dice rolls on the four and the card is a heart
Answer:
4/6
Step-by-step explanation:
the total time the dice roll over four.. which is also 4/6
Show that 2/4-x = 10/4+x
is equivalent to 12x = 32 for all values of x not equal to 4 or -4
Answer:
See proof below
Step-by-step explanation:
Given the expression 2/4-x = 10/4+x
Cross multiply
10(4-x) = 2(4+x)
10(4) - 10x = 2(4)+ 2x
40 - 10x = 8 + 2x
-10x - 2x = 8 - 40
-12x = -32
Multiply both sides by -1
-1(-12x) = -1(-32)
12x = 32
This shows the required expression
PLEASE HELP TEST!!! 40 POINTS Find the surface area of a square pyramid with base edges of 8 feet. The height of each lateral face is 9 feet. Explain or show how you got your answer.
Answer:
192
Step-by-step explanation:
V= a2 h/3= 8 2 . 9/3 = 192
search square pyramid
and put the height and base edges in (8 feet and 9 feet and you will get a better answer
The net of a triangular prism is shown.
14 cm
5 cm
5 cm
6 cm
3 cm
What is the surface area of the prism?
O A. 46 cm
OD. 72 cm
O B. 54 cm
O E. 96 cm
OC. 69 cm
Sheena has a $4,000 balance on her credit card statement. This month, she can afford to pay $2,000 of her balance. When should she make her payment (earlier or later in her billing cycle) in order to keep her finance charge low?
Answer:
This does not matter
Step-by-step explanation:
This does not matter and does not affect her finance charge. What does affect this charge is whether or not she pays what is owed on time. Meaning that she must pay everything that she owes between the end of the billing cycle and the day that the payment is due. In this scenario, it seems that she can only afford to pay half of what she actually owes, therefore regardless of when she pays this amount her finance charge will increase until she pays the entire debt.
-3 > t+5/-1
can someone plz solve this inequality
can anyone help me pls? i will give brainliest :)
Complete the following to describe how to draw to diagram to represent the answer 3÷3/5
Answer:
you can do a diagram representing this product by drawing a box with six squares and then putting three lines for each box and divide 3÷3 and you will get 5
A container that holds beans is shaped like a cylinder. The radius of the container is 9 centimeters, and the height of the container is 11.25 centimeters.Which measurement is closest to the volume of the container in cubic centimeters?
2862.78
954.26
715.69
238.5
Answer:
I can't tell you the answer but pi is 3.1415
Which point is on the graph of y = 4x + 2? A (-2, -5 o B. (-4, -15) C. (4. 18) D. (0.1)
Answer:
The answer should be C
Step-by-step explanation:
I hope that helps you!
Please help me!!!!!!!
it is 15 if you add and then divid
Pls someone help me with this question pls
2 is 1 of 6 numbers on each side 1/6
Since its 3 rolls youd multiply it by 3
1/6x3 would be 3/18
Answer: The Probability of rolling a 2 on 3 throws would be 3/18
A triangle has a base of 10 inches and a height of 4.5 inches. What is the area of the triangle in square inches?
Answer:
22.5
Step-by-step explanation:
10 x 4.5 = 45 divided by 2 is 22.5
Answer:
22.5inch²
Step-by-step explanation:
area of a triangle = 1/2 base × height
base = 10 inches, height = 4.5inches
area = 1/2× 10 × 4.5
area = 5×4.5
area = 22.5inch²
Given that ABCD ~ EFGH, find the value of x
Answer:
x = 8
Step-by-step explanation:
Recall: Ratio of the corresponding side lengths of two similar figures are equal.
Therefore,
EF/AB = GH/CD
6/4 = 12/x
Cross multiply
6*x = 12*4
6x = 48
Divide both sides by 6
6x/6 = 48/6
x = 8