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.
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Answer:
2/10 * 2/10 = 1/25
Step-by-step explanation:
Suppose you have 10 marbles in a bag. 5 black , 2 pink and 3 blue
As if two pink marbles are selected then for one pink marble probability = event occurred / total outcome = 2/10
Similar probability for an other pink marbles Probability for the drawing two pink marbles is P = 2/10 * 2/10 = 1/25
Alyssa is going to invest in an account paying an interest rate of 4.3% compounded daily. How much would Alyssa need to invest, to the nearest dollar, for the value of the account to reach $330 in 17 years?
Answer:
159
Step-by-step explanation:
158.877856673=P
round:
P=159
Answer:
159
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
V74
V74
Answer:
C. x = 10
Step-by-step explanation:
By Pythagoras Theorem:
[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]
Answer:
C. x = 10Step-by-step explanation:
Use Pythagorean theorem.
(x/2)² = (√74)² - 7²(x/2)² = 25x/2 = √25x/2 = 5x = 10Correct choice is C
A child has a box of colored building blocks. He will choose one block without looking. The odds against choosing a blue block are 13/4. What is the probability of choosing a blue block?
Answer:
The answer is "0.2352".
Step-by-step explanation:
Given:
The chance of selecting a odds blue block [tex]= \frac{13}{4}[/tex]
[tex]=\frac{\text{Amount of unfavourable blue block evets} \ (13)}{\text{Amount of unfavourable blue block evets} \ (4)}[/tex]
total number of events are 13+4= 17
Calculating the probability of choosing the blue block
[tex]=\frac{\text{Amount of unfavourable blue block evets} }{\text{Amount of unfavourable blue block evets} } \\\\ = \frac{4}{17} \\\\ =0.2352[/tex]
Find two integers whose sum is -20 and product is 99
Answer:
Step-by-step explanation:
let the integers be x and y
x+y=-20
y=-20-x
xy=99
x(-20-x)=99
-20x-x²=99
x²+20x+99=0
x²+11x+9x+99=0
x(x+11)+9(x+11)=0
(x+11)(x+9)=0
x=-11,-9
when x=-11
-11+y=-20
y=-20=11=-9
when x=-9
-9+y=-20
y=-20+9=-11
so integers are -11,-9
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
Question 6
Which expression is equivalent to the expression shown?
2
7147²
712
17
716
77
Answer:
7^12
Step-by-step explanation:
if you are dividing the base numbers then you are subtracting the exponents
Find the area and circumference of the circle from the problem to the left. h 14 in Area= Circumferencer
Answer:
r is 14÷2=7in
r is 7
area of circle is pie R square
22÷7×7×7
154 in
since area = circumference
154=154
hope it helps
Can someone help please!
Answer:
Step-by-step explanation:
extend the line on the 5ft side to create a triangle and a rectangle.
Area of a rectangle is l x b
10 x 4 = 40ft^2
Area of a triangle is 1/2 base x height
the height of the triangle will be 10 - 5 = 5ft
the base of the triangle will be 12 - 4 = 8
1/2 (8) x (5)
20ft^2
Total area = area of triangle + area of rectangle
Total area = 20ft^2 + 40ft^2
Total area = 60 ft^2
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets. *
A: 7.25a + 5.50s = 8 and a + s = 52.75
B: 7.25a + 5.50s = 52.75 and a + s = 52.75
C: 7.25a + 5.50s = 52.75 and a + s = 8
UMMMMMMMMMMMMMMM I don't know
Jenna's only source of income is from her job at a car wash, where she works 25 hours each week. She is paid $9.90 per hour. What is her net weekly income if she pays $30.70 in payroll tax each week?
Answer: 216.8$
Step-by-step explanation:
25 x 9.9 = 247.5
247.5 - 30.70 = 216.8
State the Postulate or Theorem
Answer:
7. Corresponding Angles Theorem
8. Alternate Interior Angles Theorem
9. Alternate Exterior Angles Theorem
10. Supplementary Angles Theorem
Step-by-step explanation:
Answer this Quickly Please 50 points !!!!!!!!!!!!!!!
A seagull is flying in the sky 10 meters above sea level. Directly below the
seagull, a dolphin is jumping 2.5 meters above sea level. Directly below these
animals, is an octopus, swimming 10 feet below sea level. Select all the true
statements. *
10
k
S
vertical position (meters)
-5
-10
The difference in height between the seagull and the dolphin is -7.5 feet.
The difference in height between the seagull and the dolphin is 7.5 feet.
The difference in height between the dolphin and the octopus is -12.5 feet.
The difference in height between the dolphin and the octopus is 12.5 feet.
Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?
Answer:
21 pieces
Step-by-step explanation:
Given that,
Length of wood needed = 233 feet
The wood comes in lengths of 11 feet.
We need to find the number of pieces samuel need to buy. It can be done as follows :
Let he needed x peices. So
[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]
So, he will need approx 21 peices.
Which of these is a unit of density?
Please help.
Answer:
I think is C.
Step-by-step explanation:
Hope it's help you ❤️❤️❤️❤️❤️❤️❤️
PLEASE HELP...!!!!!!!!!!
Answer:
5 and 10
Step-by-step explanation:
You have all the information you need to find the area of the circle and then subtracting that from 77 you'll have the area of the rectangle and will be able to figure out the length and height by looking at the answer options.
So the area of a triangle is 1/2(b x h) or (b x h)/2 so the base is 6 and the height is 9 so the area is 54/2 which equals 27. 77 - 27 = 50 so the area of the rectangle is 50. With the answer options provided I can see that the height of the rectangle is 5 and the length is 10.
12
11
10
9
8
4
3
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
Answer:
You didn't say what the question was
Answer: 3
Step-by-step explanation:
x: y = 8:1
Which is the correct equation?
A. y=8x
B. x=8y
C. y=7x
Answer:
B. x=8y
Step-by-step explanation:
X*1=y*8
X=8y
I hope so that i help you
(10pts) find all the solutions to the equations.
Will give Brainliest, A car wash has a weekly ad in the local newspaper that is 2 inches wide and 4 inches high and costs $36.75 per week. The cost of each ad is based on its area. If the owner of the car wash decides to double the width and height of the ad, how much will the new ad cost?
Answer:
4+2+$36.75= $42.75
Step-by-step explanation:
4+2+36.75
6+36.75
42.75
Alternative Form
171/4,42 3/4
Answer:
4+2+$36.75=$42.75.
Step-by-step explanation:
6+36.75=42.75
HELPPP please!!! need answer fast, very confused
Answer:
I think D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Its d
Someone please please..help me I don’t want to fail this..
Step-by-step explanation:
hope it helps you........
5/x+4=9/x-8. Solve for x.
Answer: x = 1/3
Step-by-step explanation:
5/x - 9/x = -8 - 4
-4/x = -12
x = -4/-12
x = 1/3
Answer:
-19
Step-by-step explanation:
symbolab- a website that you enter an equation in and it solves it for you it's free and no videos or anything :)
What is the volume of this composite solid?
4 m
6 m
10 m
6 m
O A. 372 cubic meters
B. 144 cubic meters
Ο Ο Ο Ο
O C. 600 cubic meters
D. 480 cubic meters
Answer:
its D. 480 cubic meters for Ape.x
Step-by-step explanation:
PLEASE HELP DUE AT MIDNIGHT
Answer:
268.1
Step-by-step explanation:
Area of Sphere =
[tex] \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi {4}^{3} \\ = 268.1 {units}^{3} (nearest \: tenth)[/tex]
The ratio of squirrels to pigeons in the park is 15 to 125. Which statement describes this relationship?
Answer: A. There are 3 squirrels for every 25 pigeons in the park
Step-by-step explanation:
The options include:
A) There are 3 squirrels for every 25 pigeons in the park.
B) There are 3 squirrels for every 5 pigeons in the park.
C) There are 5 squirrels for every 3 pigeons in the park.
D) There are 25 squirrels for every 3 pigeons in the park.
Since the ratio of squirrels to pigeons in the park is 15 to 125. The common factor we have here is 5. We can then divide the figures given by 5. This will be:
= 15/125 = (15/5)/(125/5) = 3/25
This mean that for every 3 squirrels, there are 25 pigeons in the park.
Therefore, the correct answer is A.
Use substitution to solve the following system of equations.
x + 4y = 8
2x - 5y = 29
I
Answer:
(12, - 1 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 8 → (1)
2x - 5y = 29 → (2)
Rearrange (1), expressing x in terms of y by subtracting 4y from both sides
x = 8 - 4y → (3)
Substitute x = 8 - 4y into (2)
2(8 - 4y) - 5y = 29 ← distribute and simplify left side
16 - 8y - 5y = 29
16 - 13y = 29 ( subtract 16 from both sides )
- 13y = 13 ( divide both sides by - 13 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 8 - 4(- 1) = 8 + 4 = 12
solution is (12, - 1 )
[tex]x = 8 - 4y \: \: eqn \: 1[/tex]
now in eqn 2
[tex]2(8 - 4y) - 5y = 29[/tex]
[tex]16 - 8y - 5y = 29[/tex]
[tex]16 - 13y = 29[/tex]
[tex]16 - 29 = 13y[/tex]
[tex]13 = 13y[/tex]
[tex] \frac{13}{13} = y[/tex]
[tex]y = 1[/tex]
Now in eqn 1
[tex]x = 8 - 4y[/tex]
[tex]x = 8 - 4 \times 1[/tex]
[tex]x = 8 - 4[/tex]
[tex]x = 4[/tex]
therefore x=4 & y=1 answer
Help me with this!!!
Answer:
15
Step-by-step explanation:
Answer:
TW= 15
Step-by-step explanation:
If UV ≈ VW it means the two triangles shown are congruent (or equal).
So if they are equal it means TU will equal TW.
TU = 15 = TW
Round your answer to the nearest hundredth if necessary. A figure is shown. 8X 44.49 What is the measure, in degrees, of the shaded angle?
You can download answer here
tinyurl.com/wpazsebu