Answer:
The arrow is at a height of 48 ft after approximately 0.55 s and after 5.45 s
Step-by-step explanation:
The following information is missing:
The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?
If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:
48 = 96*t - 16*t²
16*t² - 96*t + 48 = 0
16*(t² - 6*t + 3) = 0
t² - 6*t + 3 = 0
t² - 6*t + 3 + 6 = 0 + 6
t² - 6*t + 9 = 6
(t - 3)² = 6
t - 3 = √6
t - 3 = 2.45; t = 2.45 + 3; t = 5.45
or
t - 3 = -2.45; t = -2.45 + 3; t = 0.55
Answer: 0.55 & 5.45
Step-by-step explanation:
Sasha made cups of lemonade to sell at her stand. She sold 9 cups of lemonade in the first hour. For each hour after that, she sold five cups. She was outside for a total of 4 hours. How many cups of lemonade did she sell?
Answer:
24 cups
Step-by-step explanation:
1st hours = 9 cups
2nd hour = 5 cups
3rd hour = 5 cups
4th hour = 5 cups
9 + 5 + 5 + 5 = 24 cups
Please Help Me Out! I'd Appreciate It So Much! TYSM!
A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 36 days.
Equation: ?
Total Length of the road after 36 days: ?
Answer:
L = 57 + 4D
After 36 days, the length of the road will be 201 miles.
Step-by-step explanation:
L = 57 + 4(36)
L = 57 + 144
L = 201
a pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. can the cook at pizzeria make 12 pizzas without refilling the canister?
the canister holds cups and they need cups of flour to make 12 pizzas?
Answer:
The cook CANNOT make 12 pizzas without refilling the canister
Step-by-step explanation:
Please see the attached files for explanation
The pizzeria cook can make 12 pizzas without refilling the flour container.
The pizzeria stores flour in a 5-gallon container. Each pizza uses 7 cups of flour. To determine if the cook can make 12 pizzas without refilling, we need to calculate if 5 gallons of flour is enough.
Calculation:
5 gallons = 640 cups (since 1 gallon = 128 cups)
12 pizzas x 7 cups/pizza = 84 cups needed for 12 pizzas
Since the canister holds 640 cups and only 84 cups are needed for 12 pizzas, the cook can indeed make 12 pizzas without refilling.
What is the degree measure of s? A) 106° B) 122° C) 131° D) 151°
Answer:
I need an angle to find the degrase.
Answer:
D)151
Step-by-step explanation:
61° + 90° = 151°
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
Find the volume of the sphere
what is the square root of 100
Answer:
the square root of 100 is +-10
Step-by-step explanation:
a square root is the number that when squared makes that number
10 squared =100
Answer:
Plus or minus 10
Step-by-step explanation:
10 times 10 is 100, also, -10 times -10 is 100
HELP PLS 30) PTS
--------
Calculate the bases of the trapezoid.
The diagonal of the trapezoid divides the central section into parts, one of which makes up 62.5% of the other . Find the bases when the middle section is 26 cm.
The answer . The longer base of the trapeze is__ cm and shorter__ cm.
Answer:
32 ; 20
Step-by-step explanation:
Middle section: 26
Sum of parallel lengths: 2 × 26 = 52
Ratio of the sides:
100% : 62.5%
8 : 5
5/(8+5) × 52
20
8/(8+5) × 52
32
Help
Needs to explain to me plzzz
Answer:
Its 15, just trust me on this one
Step-by-step explanation:
A solution to a system of two linear equations is where they intersect
A. Always
B. Sometimes
C. Never
A. Always
Two lines don't always intersect, but the solutions are always where they intersect.
Identify the type of function.
y = (x-5)(x-2)
An exponential function is written y=a(b^x) Which variable determine if the function is increasing or decreasing?
1. a
2. b
Answer:
b
Step-by-step explanation:
if b is less than 1, it is a decreasing function; if b is more than 1, it is an increasing function
what is the slope of y+3=−4(x+7)
A
−1
B
−2
C
-1/2
D
1
What is the volume of the composite figure? Leave the
answer in terms of .
Tot mm
5 mm
3 mm
Answer:
It is 33 on edge 21.
Step-by-step explanation:
trust me :)
Tim install 50 square feet of his floor in 45 mins. At this rate how long does it take him to install 495 square feet. Is that 99.5 or 445.5?
Answer:
the answer is 445.5
Step-by-step explanation:
what I did was divide 50 by 495 and got 9.9 then since it took 45 minutes every 50 square feet of floor i multiplied 45 x 9.9 and got 445.5
I know this seems like duhh but I honestly forgot
Answer:
In parasitic relationships, the parasite is a term for a parasitic organism - it leeches substance from its host. In this case, the host is the dog.
Please help with this. Thank you
Answer:
the answer os
Step-by-step explanation:
i m only n 5th grade
Patricia buys a round dinner table the radius of the dinner table is 6 m what is the area of the table table
Answer:
18.8495559215 m
Step-by-step explanation:
It is 6 times pi.
Answer:
113.04
Step-by-step explanation:
Solve the system of equations. y= 2x -3 y= x^2 -3
Answer:
(0, - 3 ) and (2, 1 )
Step-by-step explanation:
Given the 2 equations
y = 2x - 3 → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
x² - 2x = 0 ← factor out x from each term
x(x - 2) = 0
Equate each factor to zero and solve for x
x = 0
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )
Answer:
(0, - 3 ) and (2, 1 ) 100% correct
Step-by-step explanation:
What is a surface area?
Answer:
D
Step-by-step explanation:
in order to find the surface area, you have to add all of the surface area of the figure
can someone help pleaseee i will give brainlyest
Answer:
the last option = 103 ft
Step-by-step explanation:
It is in the ratio of
1 : 30
Multiply each side by 5.5
5.5 : 165
convert 165 inches to feet
13.75
1 : 30
multiply each side by 3
3 : 90
convert 90 inches to feet
7.5
since it is asking for the area multiply 13.75 ft and 7.5 feet
13.75 * 7.5 = 103 ft
The radius of a circle is 620cm what is the diameter of this circle
Answer:
1240 cm
Step-by-step explanation:
Diameter = 2 * radius
The radius is 620, making the diameter 620 * 2 = 1240
Plz help if u understand!?
Answer:
26.08
Step-by-step explanation:
Answer:
26.08
Step-by-step explanation:
You need to use pythagorean formula. a^2 + b^2 = c^2
since b and c are the farthest you plug in you numbers
22^2 + 14^2 = 680^2
690^2 = about 26.08 miles
hope this helps!
Solve and graph this inequality on a number line:
-3 (x + 4) = 15
Steps to solve:
-3(x + 4) = 15
~Distributive Property
(-3 * x) + (-3 * 4) = 15
~Simplify
-3x - 12 = 15
~Add 12 to both sides
-3x - 12 + 12 = 15 + 12
~Simplify
-3x = 27
~Divide -3 to both sides
-3x/-3 = 27/-3
~Simplify
x = -9
Best of Luck!
1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds
30 gallons of water weighs 250 pounds.
To find the weight of 30 gallons of water, we can use the given conversion factor that 1 gallon of water weighs 8 1/3 pounds.
First, let's find the weight of 1 gallon of water in pounds:
1 gallon = 8 1/3 pounds
Now, we can calculate the weight of 30 gallons of water:
30 gallons = 30 x (8 1/3 pounds)
= 30 x (25/3 pounds)
= 250 pounds
Therefore, 30 gallons of water weighs 250 pounds.
Learn more about conversion factor click;
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Describe the transformations that maps triangle A to triangle A'.
A.translate 7 units to left and then reflect over the x-axis
B.translate 5 units to left and then reflect over the x-axis
C.translaté 7 units to right and then reflect over the x-axis
D.translate 5 units to right and then reflect over the x-axis
Answer:
c
Step-by-step explanation:
moving the figure over 7 units would put it directly over the a'
after that you can reflect the a over the x axis
The correct option is C. Translate [tex]7 \ units[/tex] to the right and then reflect over the x-axis.
To determine the transformations that map triangle [tex]\( A \)[/tex] to triangle [tex]\( A' \)[/tex]
1. Translation:
Observe the horizontal distance between the corresponding points of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].
Triangle [tex]\( A \)[/tex] is initially centered around [tex]\( x = 2 \)[/tex]., while triangle [tex]\( A' \)[/tex] is centered around [tex]\( x = 2 \)[/tex]
The horizontal distance from [tex]\(-5\)[/tex] to [tex]\(2\)[/tex] is [tex]\(7\)[/tex] units to the right.
2. Reflection:
Check the vertical positions of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].
Triangle [tex]\( A \)[/tex] is above the x-axis while triangle [tex]\( A' \)[/tex] is below the x-axis. This indicates a reflection over the x-axis.
Thus, the correct transformation sequence is to translate triangle [tex]\( A \) 7 units[/tex] to the right and then reflect it over the x-axis.
Two students will be chosen at random from 8 boys and 12 girls. What is the probability that a boy then a girl will be chosen? Remember to simplify your fraction! *
4 points
Answer:
boys + girls = 20
boys 2/20 girls 2/20 but if boy and girl are chosen it is a 1/20 chance of boy and girl are chosen so 2/20 =1/10
Step-by-step explanation:
Juanita has saved 30% of the money that she needs to buy a new bicycle. If she has saved $42, how much money does the bicycle cost? The Bicycle costs?
Answer:
$140
Step-by-step explanation:
If $42 is the amount of 30% of the price of a bycicle, we can quickly find the total amount by dividing 42 by .3.
42/0.3 = 140
$140 is your final answer!
Hope this helps!
Find the sum of the given polynomials. 3x ^2 + 2x - 5 and -4 + 7x ^2
Answer:
[tex] 10 {x}^{2} + 2x - 9[/tex]
Step-by-step explanation:
[tex](3 {x}^{2} + 2x - 5) + ( - 4 + 7 {x}^{2}) \\ = 3 {x}^{2} + 2x - 5+ 7 {x}^{2} - 4 \\ = 3 {x}^{2} + 7 {x}^{2} + 2x - 5- 4 \\ = 10 {x}^{2} + 2x - 9[/tex]
Which number is not in scientific notation?
Answer:
There are no answer choices
Step-by-step explanation:
I am sorry!
Answer:
What number?
Step-by-step explanation:
Sean needs to figure out how much paint he needs in order to cover all of the sides of his ramp. what is the surface area of the ramp?
a) 102 cm2
b) 210 cm2
c) 258 cm2
d) 432 cm2
Answer:
210
Step-by-step explanation:
find the area of each rectangle and add it to the area of both the triangles
9(6) +5(9) +9(7)+(6(8))/2 + (6(8))/2
The surface area of the ramp will be 210 square cm. Then the correct option is B.
What is the surface area of a triangular prism?Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,
Surface area = 2 Area of triangle + 3 Area of rectangle
Surface area = (h x b) + (L₁ + L₂ + L₃) x W
Sean must determine how much paint he will use to cover all of the edges of his ramp.
The surface area of the ramp is calculated as,
SA = (8 x 6) + (5 + 6 + 7) x 9
SA = 48 + 18 x 9
SA = 48 + 162
SA = 210 square cm
The surface area of the ramp will be 210 square cm. Then the correct option is B.
More about the surface area of a triangular prism link is given below.
https://brainly.com/question/16765719
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