Answer:
Time, t = 2 seconds
Step-by-step explanation:
The height of a flare fired from a 32-foot high platform can be modeled by the function :
[tex]h= -16t^2 + 16t + 32[/tex]
Here, h is the height in feet above the ground and t is the time in seconds.
It is required to find the time taken by the flare to reach the ground. When its reaches ground, height covered by it equals 0 such that,
h = 0
[tex]-16t^2 + 16t + 32=0\\\\t=\dfrac{-16+\sqrt{16^2-4\times (-16)(32)} }{2(-16)}, \dfrac{-16-\sqrt{16^2-4\times (-16)(32)} }{2(-16)}\\\\t=-1\ s, 2\ s[/tex]
Neglecting t = -1 seconds, the time taken by the flare to reach the ground is 2 seconds.
Trisha and Malia went to the mall with their mom. Trisha spent $15.60 on a pair of sunglasses. Malia spent $29.80 more than Trisha on a new handbag. Their mom spent 2.5 times as much as Malia on an espresso machine for their kitchen. How much money did their mom spend on the espresso machine?
Answer:
$113.50
Step-by-step explanation
add $15.60 + $29.80 = $45.40multiply $45.40 x 2.5 = $113.50
The amount of money there mom spent on the expresso machine is $113.5
How to form equation and solve for the variable?Trisha spent $15.60 on a pair of sunglasses.
Malia spent $29.80 more than Trisha on a new handbag.
Therefore,
Malia expenses = 29.80 + 15.60 = $45.4
Their mom spent 2.5 times as much as Malia on an espresso machine for their kitchen. Therefore,
Mom expenses = 2.5(45.4)
Mom expenses = $113.5
Therefore, there mom spent a total of $113.5 on the expresso machine
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Find the missing angle. *
70°
?
40°
40 degrees
100 degrees
25 degrees
70 degrees
Answer:
70
Step-by-step explanation:
A triangle angles add up to 180 so you add up 70 and 40 and then subtract that answer from 180 and you get 70
Answer:
70 degrees.
All three sides of a triangle added together will equal 180 degrees. If 70 and 40 are added together then you get 110. Then you subtract the total 180 and the two angles that equal 110. You get 70 degrees, which is your missing angle.
find the area of each figure . only 3 questions ! 30 pts awarded to u for answering !! thanks !
Answer:
Number 1 is 391 Number 2 is 663 Number 3 is 12 or 18
Step-by-step explanation:
If f(x) = 3x2 + 2 and g(x) = -5x +3, find f(g(x)).
PLEASE HELP ME
Answer:
Option 2: 75x^2 -90x + 29
Step-by-step explanation:
f(g(x))
f(-5x+3) = 3(-5x+3)^2 + 2
= 3 (25x^2 - 30x +9) +2
= 75x^2 - 90x+ 27 + 2
f(g(x)) = 75x^2 - 90x + 29
Simplify and multiply
Answer:
hahjskxncncjcickmcbfjd
Please help and answer all the question too
Answer:
1) 30 units³
2) 18 units³
Step-by-step explanation:
1) The formula for volume is v = height x length x width
The height of the first object is 2, the length is 5, and the width is 3. 2 x 5 x 3 is 30, so the volume is 30 units ³.
2) Use the same formula, v = h x l x w
The height is 3, the length is 3, and the width is 2.
3 x 3 x 2 = 18
So the volume is 18 units³.
Note: Find each of the values by counting the number of squares
Landon scores 80% on his math test. if there are 40 problems how many did he get correct
The right answer is 32.
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PLEASEEEE HELPP!!!!!!!
Answer:
im not sure but 36
Step-by-step explanation:
What is the volume of the square pyramid shown below with sides that are 12.5 m long and a height of 16 m
This green rug has a perimeter of 36 feet. The length is 3 + x and the width is 5. Write an expression that can be used to find the missing value of x. Combine like terms of your equation until it is the most simplified form. What is the value of x? Explain your reasoning.
Answer:
An equation for this would be : 36=3+x+3+X+5+5
the simplified version would be: 20=2x
The value of x = 10 feet
Step-by-step explanation:
Since perimeter is all the sides added together, and 36 ft is the perimeter,
think of a rectangle, 2 sides would be 3+x and the other 2 would be 5.
thus,
36=3+x+3+x+5+5
now add all like terms and you get 36=16+2x
subtracting 16 on both sides,
20=2x
dividing by 2 both sides,
x=10 feet.
Determine the scale la
C
10 in
5 in
O A. 10
O B. 2
O c.
NI
O D. 5
Answer:
B.2
Step-by-step explanation:
To make ΔA'B'C' from ΔABC, we need to use t
he scale factor =|A'B'|/|AB|=10/5=2
What is the measure of
Answer:
x = 37
Step-by-step explanation:
The large angle is a right angle so it equals 90 degrees
53+x = 90
Subtract 53 from each side
53+x-53 = 90-53
x = 37
Answer:
37
Step-by-step explanation:
90-53=37
What is the sum?
StartFraction x Over x + 3 EndFraction + StartFraction 3 Over x + 3 EndFraction + 2 Over x + 3 EndFraction
Five-thirds
StartFraction x + 5 Over x + 3 EndFraction
StartFraction x + 5 Over 3 x + 27 EndFraction
StartFraction 6 x Over x + 3 EndFraction
Answer:
x+5/X+3 is the right answer I can conform this as i just took the edge test.
Step-by-step explanation:
The sum of given expression is x+5/x+3. Therefore, option B is the correct answer.
What is addition of algebraic expression?Addition of Algebraic Expressions is the process of collecting like terms and adding them. Identify and add the coefficients of like terms and sum them to find the final expression of given problems.
The given expression is x/x+3 + 3/x+3 + 2/x+3.
Here, denominators of all the fractions are same, which is x+3
Now, x/x+3 + 3/x+3 + 2/x+3
= (x+3+2)/x+3
= x+5/x+3
Therefore, the sum is x+5/x+3.
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Which three programs or services are supported by taxes?
1. Fire Departments
2. Medicare
3. Public Education
4. Shopping Malls
5. Theaters
Answer:
Fire departments, Medicare, and public education.
Step-by-step explanation:
A store sells a coat in three sizes: small, medium and large. The coat comes in red, navy, and tan. Sales numbers are shown in the table.
Find the probability that the next coat sold is a medium.
Write your answer in reduced fraction form.
Answer:
Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.
Step-by-step explanation:
Red Medium: 21/58 ( 36.21%)
Navy Medium: 22/66 (33.33%
Tan Medium: 25/66 (37.88%)
Since it's asking for the probability that the next coat is a medium, no matter the color, we add in all numbers and divide it by the added medium from all three colors.
Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.
In right triangle ABC, A = 15°, C=37, and ZC is the right angle. Solve the triangle. Round to the nearest tenth, if necessary.
Answer:
a= 9.58 units
b=35.74 units
Step-by-step explanation:
WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
y=20
Step-by-step explanation:
Yoko earns 48 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells. Let A be the amount (in dollars) that Yoko earns in a week if she sells B books. Write an equation relating A to B. Then use this equation to find the amount of money Yoko earns if she sells 21 books.
Answer:61
Step-by-step explanation: 48 +21 = 61
Triangle ABC is an equilateral triangle. Segment AD measures 18 inches. Which statements about the diagram are correct?
Check all that apply.
1. BD = 9 in.
2. AB = 36 in.
3. DC = in.
4. AC = in.
5. BC = in.
answer: 3,4
Answer:
3,4
Step-by-step explanation:
I got it right
Answer:
3,4
Step-by-step explanation:
I would greatly appreciate it if you helped me out
Answer:no correlation
Can someone help me out with this one i would greatly appreciate it
Answer:
Surface Area = 2×(5×5 + 5×10 + 5×10) = 250 feet^2
Step-by-step explanation:
f(x) = x2 – X – 1
What is the average rate of change of f over the
interval -1 < x < 1?
Answer:
4/3
Step-by-step explanation:
What is the slope of the line joining (5,9) and (-2, 9)?
Answer:
0
Step-by-step explanation:
We can find the slope by
m = (y2-y1)/ (x2-x1)
= (9-9)/(-2-5)
0 /-7
0
Answer:
y=9
Step-by-step explanation:
both y are on 9 so the only things similar and the only line they are on is y=9
3 out of 5 students say yes if there are 105 students how many say yes
Answer:
63 students said yes.
Step-by-step explanation:
105/5= 21
21*3= 63
Answer:
C = 63
Step-by-step explanation:
We know that there are 105 students, so we will take the total amount of students and multiply by 3/5, since this is the probably rate is which say yes. in other words --> 105 * 3/5 = 63
Find the volume of the cylinder
Answer:
53 yds
Step-by-step explanation:
Volume= base*height
V= 10*3.5
V= 35
Answer:
3,141.59
Step-by-step explanation:
lect the best answer for the question.
9/11= ?/22
So the right answer is 18.
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Geometry pls help I have 5 more questions
Answer:
[tex]193.14m^2[/tex]
Step-by-step explanation:
Rectangle
[tex]A=wl\\=15.3*11.1\\=169.83m^2[/tex]
Triangle
[tex]A=\frac{ab}{2} \\=\frac{11.1*4.2}{2}\\ =23.31m^2[/tex]
Add both together
[tex]169.83+23.31\\=193.14m^2[/tex]
Solve the inequalities 4y+7>27
Answer:
y>5
Step-by-step explanation:
4y>20
y>5
Step-by-step explanation:
4y+7>27
4y+7-7>27-7
4y>20
(4y÷4 )>20÷4
y>5
A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compounded annually? Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years
Answer:
$562.43
Step-by-step explanation:
V(3) = [tex]500 ( 1 + \frac{0.04}{1} )^{3} \\500 (1.04)^{3}[/tex]
= 562.43
The interest is $562.4 compounded annually.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.
P = $500
r = 4%
t = 3 years
CI = P( 1+ r/100)ⁿ
CI = 500 ( 1+ 4/100)³
CI = 500 ( 1+ 0.04)³
CI = 500 ( 1.04)³
CI = 500 ( 1.1248)
CI = 562.4
Hence, the interest is $562.4 compounded annually.
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: A marker in the shape of a cylinder has a diameter of 14 mm and a height of 136 mm. Find the volume of the figure described. Use 3.14 for . Round your answer to the nearest tenth, if necessary. *
Answer:
The volume of the figure is 20,925.0mm^3.
Step-by-step explanation:
Firstly we know that the Diameter = 14mm and Height = 136mm.
Area of Circle = 3.14xR^2 Radius = Diameter / 2
Area of Circle = 3.14x7mm^2 = 153.86mm
Volume = 153.86 x 136 = 20,924.96
Then round, to get 20,925.0
Let me know if this is helpful
Answer:
Volume : ( About ) 20925 mm^3
Step-by-step explanation:
1. If the diameter of this cylinder is 14 mm, the radius ⇒ 14/2 ⇒ 7 mm
2. Now knowing the radius, it would be most convenient to solve for the Base, which is in fact a circle. As we can see, the general Volume of a 3-dimensional figure is Base * height, so this will be helpful. Applying πr^2, Base Area ⇒ π * ( 7 )^2 ⇒ π * 49 π ⇒ 153.86 mm^2
This means that the Volume would be ⇒ Base Area * height ( where height is 138 mm ) ⇒ 153.86 mm^2 * 136 mm ⇒ 20924.96 mm^3
Answer ( Volume ) : ( About ) 20925 mm^3