Given:
Consider the function is:
[tex]h(t)=-16t^2+100t+5[/tex]
This function is used to calculate how far the potato will be from the ground at any given second (t).
To find:
The value of h(0) and its meaning in the context of the problem.
Solution:
We have,
[tex]h(t)=-16t^2+100t+5[/tex]
At t=0,
[tex]h(0)=-16(0)^2+100(0)+5[/tex]
[tex]h(0)=0+0+5[/tex]
[tex]h(0)=5[/tex]
Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.
Find the value of 3p2 – 4p -5, if p= -3
Answer:
-11
Step-by-step explanation:
3 x (-3) x 2 - 4 x (-3) - 5
= -18 + 12 - 5
= -11
In the sequence: 20, 25, 23, 28, 26, …, what number should come next?
a) 24
b) 31
c) 21
d) 28
Answer:
b) 31
Step-by-step explanation:
20 + 5 = 25
25 - 2 = 23
23 + 5 =28
28 - 2 = 26
pattern: add 5 then subtract 2
since we subtract last, we would add 5 on 26:
26 + 5 = 31
Answer:
31
Step-by-step explanation:
In the sequence they are adding 5 and taking away 2. So if they start with 20, they added 5 and took away 2, it was 23. Then they added 5 again and it was 28, they took away 2 and it was 26. If they add 5, the next number would be 31.
Hope it helped :)
1. How long does it take running at a rate of 12m/s over a distance of 360m?
Step-by-step explanation:
T=D/S
D=360m
S=12m/s
360m÷12m/s
Time=30s
Please help me I will give brainlest if right
What is the complete factorization of the polynomial below?
x^2 + 4x^2 + 16x + 64
O A. (x-4)(x + 4i)(x + 4i)
B. (x + 4)(x + 4i)(x + 4i)
C. (x + 4)(x + 4i)(x-4i)
O D. (x-4)(x + 4i)(x-4i)
Given:
Consider the given polynomial is:
[tex]x^3+4x^2+16x+64[/tex]
To find:
The complete factorization of the given polynomial.
Solution:
We have,
[tex]x^3+4x^2+16x+64[/tex]
Using grouping method, we get
[tex]=(x^3+4x^2)+(16x+64)[/tex]
[tex]=x^2(x+4)+16(x+4)[/tex]
[tex]=(x+4)(x^2+16)[/tex]
[tex]=(x+4)(x+4i)(x-4i)[/tex] [tex][\because x^2+y^2=(x+iy)(x-iy)][/tex]
Therefore, the correct option is C.
5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?
Answer:
Results are below.
Step-by-step explanation:
First, we need to calculate the variable income per job:
First job= 450 - 150= 300
Second job= 675 - 150= 525
Now, the hourly rate:
Hourly rate= total variable income / number of hours
First job= 300 / 4= $75
Second job= 525 / 3= $175
It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, how many more hot dogs would winston need to sell to earn a total of 185.00?
HELP HELP ME PLZ !!!
Answer:
GK=JK
Step-by-step explanation:
SSS congruency is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.
For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.
The options are:
<G=<J
<H=<H
GK=JK
the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS
GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.
Hope this helps!
how many minutes will it take for a plane altitude to change by -5,400 meters
Answer:
I believe it will be 5 minutes for it to reach that.
Can someone help me please
Answer:
B
Step-by-step explanation:
sohcahtoa
sin = opp/hyp
sin A = 16/20= 4/5
During a sale, a store offered a 40% discount on a bed that originally sold for $840. After the sale, the discounted price of the bed was marked up by 40%. What was the price of the bed after the markup? Round to the nearest cent.
Answer:
$705.60
Explanation:
Discounted price:
$840 × (100% - 40%)
= $840 × 60%
= $840 ÷ 100 × 60
= $504
Markup:
$504 × (100% + 40%)
= $504 × 140%
= $504 ÷ 100 × 140
= $705.60
i hope this helps! :D
Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?
f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power
f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power
f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power
f(x)=−23,540(0.95)x
The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
What is function?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.
Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.
The depreciation rate =
A = P(1-r)ⁿ
Where, A = amount final
P = initial amount
r = rate and n = number of the years
Therefore,
The depreciation rate =
f(x) = 23540(1-0.05)ˣ
f(x) = 23540(0.95)ˣ
Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
Learn more about functions, click;
https://brainly.com/question/12431044
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How do you graph it ?
Answer:
It should look like this
Step-by-step explanation:
hope it helps
Any smart people know this i’m not smart
Answer:
-8n² - 8n + 3
Step-by-step explanation:
Combine like terms (terms with the same variables, as well as the same amount of that variable).
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)
First, distribute the negative sign to all terms within the second parenthesis:
4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1
Combine like terms:
(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)
-8n² - 8n + 3
-8n² - 8n + 3 is your answer.
Answer:
Option 3
Step-by-step explanation:
Part A - Find the area of the shaded region. Round to the nearest hundredth. Just write the number with no unit attached. * 11 cm / Tan ་ 12 cm
Answer
128.86
Step-by-step explanation:
The box is 11x12 so 132.
The circles area is 3.14, or
A = πr^2 = π·1^2 ≈ 3.14159
So 132-3.14 is 128.86
Trapezoid
Area= 1/2 (6+14)8
A=80
Now i know what the equals but i don’t know how to find the m2
Please help :)
bb
Step-by-step explanation:
honda is the lowest price on the market and the price of the following lines are not anybody else so expect to have a good time and be able to make a few things that are good
what two number multiply to make -36 as well as add to make 16
-12 x 3 = -36
-6 x 6 = 36
-8 x 2 = -16
-4 x 4 = -16
HELP WHATS THE CONSTANT OF PROPORTIONALITY
sodas: 2 3 4 5
cost: $2.50 $3.75 $5.00 $6.25
Answer:
its 1.25
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
Answer:
[tex] \tan \frac{opposite}{adjacent} [/tex]
21.4
Step-by-step explanation:
tan47° = x/20
1.072=x/20
20×1.072= x/20×20
x =20 ×1.072
x= 21.447
x=21.4
7x = 14 step by step
Answer:
x=2
Step-by-step explanation:
7x = 14
x = 14/7
x = 2
Answer:
2
Step-by-step explanation:
7x/7 = 14/7
x = 2
1. x+1 when x=10
2. 5y-8 when y=6
3. 6t-9m when t=5 and m=3
4. 62/2 when x=10
5. 5h3-3j2+20 when h=4 and j=5
Answer:
1
X is equal to 10
10 plus 1 equals 11
2
y is equal to 6
30 minus 8
is equal to 22
3
m equals 3 and t equals 5
30 minus 27
is equal to 3
4 not written properly
5 not written properly
Complete the following table for f(x) = -2.4"
-2
-1
0
1
2
-2
[
Choose
- 1
Choose)
0
Choose!
1
Choose
2
Choose
Answer:
3
Step-by-step explanation:
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
can someone please solve 1/4 x 5/3
Answer:
Just multiply the numerators and denominators:
1×5=5 and 4×3=12
The answer is 5/12
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} *\frac{5}{3} =\frac{5}{12}[/tex]
A scientist used a microscope to count the number of bacterial cells in a petri dish every hour. The graph shows the data collected.
Which function most accurately represents this data, where n is the number of bacteria and t is the time elapsed, in hours?
n = 2t
n = 2^t
n = t^2
n =
which equation is equivalent to 63-3(2-10x)=150
Answer:
D: 57 + 30x = 150
Step-by-step explanation:
63-3(2-10x)=150
63 - 6 + 30x = 150
57 + 30x = 150
15 is 20% of what number? Enter your answer in the box.
Answer:
75
Step-by-step explanation:
2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right
Answer:
Acute
Step-by-step explanation:
26^2 + 12^2 = 18^2
676 + 144 = 324
820 = 324
Since 324 is smaller, this triangle is acute
Anyone know the answer to this ?
Answer:
no srry
Step-by-step explanation:
help? i wud rly appreciate it <3
Answer:
D
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
-3x+1<7
-1 -1
-3x<6
/-3 /-3
x>-2(you divided by a negative so flip the sign, the sign also tells you which way the graph should be covering :D)
the hotog eating champion eats 27.5 hot dogs in 4 minutes. at that rate how many does he eat in the 10 min competition?
Answer:
68.8 hot dogs
Step-by-step explanation:
27.5 ÷ 4 = 6.875 per minute
6.875x10 = 68.75 hot dogs
Answer:
68.75 hotdogs
Step-by-step explanation:
lets say x = number of hotdogs
27.5/4 = x/10
use cross multiplication:
27.5 (10) = 4(x)
multiply
275 = 4x
divide both sides by 4 to isolate x
x = 68.75