Answer:
6.53 s
Step-by-step explanation:
The height of the cannon ball is represented by a quadratic function as:
h(t) = -4.9t² + 30.5t +9.8.
At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8
That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:
h(t) = -4.9t² + 30.5t +9.8
It touches the ground when h(t) = 0. Hence:
0 = -4.9t² + 30.5t + 9.8
Solving the above quadratic equation gives:
t = 6.53 s and t = -0.31 s
Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.
Tyler brother works in a shoe store and the store brought a pair of shoes for $50 and sold it for $80 what percentage was the markup?
Answer:
$60.
Step-by-step explanation:
Cost price= $50
Selling price = $80
Percentage markup = Gain/Cost price x 100%
=30/50x100
=$60.
Beth walked 10 7/8 miles one week. she walked 2 1/4 fewer miles the following week. About how many miles did she walk the second week round each mixed number to the nearest whole number.
Answer:
8 and 5/8 miles
Step-by-step explanation:
Whats the range and domain
Answer:
the picture wont show up for me sry
Step-by-step explanation:
The price of nails, n, is $1.29/lb. The price of washers, w, is $0.79/lb. The price of bolts, b, is $2.39/lb.
Section a .Write an expression to represent the total price of the supplies
Section b. What is the total cost of buying 2 pounds of nails, 4 pounds of washers and 3 pounds of bolts?
Answer: 1.29n + 0.79w + 3.39b is the expression.
The total cost is $12.91
Step-by-step explanation: Substitute the number of pounds for each given supply. Multiply to get the individual amounts, then add all of those amounts to find the total cost.
1.29(2) + 0.79(4) + 2.39(3) = total
2.58 + 3.16 + 7.17 = 12.91
Answer:
1.29n + 0.79w + 2.39b
1.29(2) + 0.79(4) + 2.39(3) =
2.58 + 3.16 + 7.17 = $12.91
Step-by-step explanation:
to anyone that likes to do math
16 for the first one
25.2 for the second one
48 times every 90 secnds for the 3rd one
12 for the 4th one
18 for the 5th one
.57 for the last one
Using the common denominator, what is an equivalent fraction for 2/7
?
Answer:
4/14 is equivalent
Step-by-step explanation:
If you multiply 7 and 2 you will get 14
So since you multiply by 2 for the denominator you will have to do the same to the numerator
What is the area of the border,or the shaded region,of this figure in square inches HELP ILL GIVE BRAINLIEST
Answer:
A = 216in^2
hope it's helpful ❤❤❤❤❤
THANK YOU.
Which solid is made from only quadrilaterals?
A) cube
B) triangular prism
C) square pyramid
D) cylinder
Answer:
A) Cube
Explanation:
Quadrilateral just means "four sides"
Examples: square, rhombus, parallelogram, rectangle.
Hope that helps
Can the sides of a triangle have lengths 1, 4, and 7?
Answer:
No
Step-by-step explanation:
No because the measure of two sides are always greater than the third side
Subscribe my Gaming channel Sameer Duos
is y=x^8 an exponential function
Help please !!!
A: 35
B: 105
C: 40
D: 60
Answer:
105 degerees
Step-by-step explanation:
Answer:
D) 60°
Step-by-step explanation:
360-40-105-155=60°
a square has an area of 90cm^2
work out the length of one side of the square
Give your answer to 1 decimal space
Step-by-step explanation:
area of square= a^2
[tex]90 = {a}^{2} \\ a = \sqrt{90} \\ a = 9.48683298 \\ a= 9.5[/tex]
Which of the following relations is a function?
O A
{(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (-1,9)
B.
{(-2, - 4), (-1,7), (1, - 1), (1, 1), (3,9)}
о
C.
{(-4,9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6) }
D.
{(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
О O
Answer: D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
Step-by-step explanation:
A relation R is said to be a function if for each input value there exists only one unique output value.In (x,y) , x= Input value , y= output value.
A. {(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (-1,9)}
Here, -1 has two output values -4 and 0.
So it is not a function.
B. (-2, - 4), (-1,7), (1, - 1), (1, 1), (3,9)}
Here, 1 has two output values -1 and 1.
So it is not a function.
C. {(-4,9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6) }
Here, -2 has two output values 3 and 12.
So it is not a function.
D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
here, each input value has an unique output value.
Hence, D. option is correct.
A circle is represented by the equation below: (x + 8)2 + (y − 3)2 = 100 Which statement is true?
The circle is centered at (−8, 3) and has a radius of 20.
The circle is centered at (8, −3) and has a diameter of 20.
The circle is centered at (8, −3) and has a radius of 20.
The circle is centered at (−8, 3) and has a diameter of 20.
Answer:
D) The circle is centred at (-8,3) and has a diameter 20
Step-by-step explanation:
Explanation:-
Given that the circle
( x + 8)² +( y-3)² = 100
⇒ ( x + 8)² +( y-3)² = 10²
Standard form of the circle ( x-h)² +(y-k)² = r²
Centre of the circle (h , k) = (-8 , 3)
Radius of the circle r = 10
Diameter of the circle 'd' = 2r = 2(10) =20
Final answer:-
The circle is centred at (-8,3) and has a diameter 20
Answer:
The circle is centered at (−8, 3) and has a diameter of 20.
Step-by-step explanation:
Hope this helps :)
i need help can someone help me
Answer:
D) infinite real solutions
Step-by-step explanation:
-6(5x+10) = -3(10x+20)
-30x-60 = -30x-60
simplifying:
x=x
What is the equation of a line that is perpendicular to a line with a slope of 2 and passes
through the point (-2, 0)?
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
The eggs of a certain insect hatched after heavy rain. The population of these insects can be modeled by the expression 192 times (2)^x-5.
Answer:
someone answer this pls
Step-by-step explanation:
maddie help please ee
Answer:
x+11/x+9
Step-by-step explanation:
Just Cancel the common factor of x-4
solve the equation by factoring plssss help ASAPPPP
4x^{2}-20x=0
Thanks UwU
Answer:
x = 0 and 5
Step-by-step explanation:
4x^2 - 20x = 0
Factor 4x
4x(x - 5) = 0
4x = 0 = > x = 0
x- 5 = 0 = > x = 5
Can someone please help me with this since it been online I haven't been paying attention I know not smart of me but I will if you explain how this stuff is too confusing and I don't quite understand it.
Answer:
$252.5
Step-by-step explanation:
45(4.5)+50
202.5+50
=252.5
PLS HELP WILL MARK BRAINIEST
The house was bought for $125,000 in 1990, the overage rate is 7.85%, what year will the purchase of the house be worth 3 times the purchase price?
Answer: 2005
Step-by-step explanation:
Exponential function to determine the value of item after t years,
[tex]f(x)=A(1+r)^t[/tex] , where r= rate of growth, A=Initial value.
As per given , A = 7.85% = 0.0785
A = $125,000
Substitute all values in function, we get
[tex]f(x)=125000(1+0.785)^t[/tex]
When f(x)= 3A , then
[tex]3A=A(1.0785)^t\\\\\Rightarrow\ 3=(1.0785)^t[/tex]
Taking tog on both sides , we get
[tex]\ln 3=t\ln 1.0785\\\\\Rightarrow\ t=\dfrac{\ln 3}{\ln 1.0785}\\\\\Rightarrow t=\dfrac{1.09861228867}{0.0755711868471}\approx15[/tex]
The year will be 1990+15= 2005
Hence, the required year = 2005
Georgia needed to sell her iPhone. She priced it at
$650 the first day. The second day she reduced the
price by 12%. What was the price of the phone after
this reduction?
Answer:
572
Step-by-step explanation:
12% of 650 is 78
650 - 78 = 572
What is the area of the arrow
Answer:
14 in
Step-by-step explanation:
4+12+4+4+4=28/2= 14
A quadrilateral is a four-sided polygon. True or false?
Answer:
True
Step-by-step explanation:
Four-sided polygons are usually referred to as quadrilaterals, quadrangles or sometimes tetragons. In geometry the term quadrilateral is commonly used.
Answer: True
Step-by-step explanation: :D
Question 15 (5 points)
5
6
(2) There are two paths that one can choose to go from
Sarah's house to James house. One way is to take C street,
and the other way requires to take A street and then B
street. How much shorter is the direct path along C street?
(Using figure).
3
9
12
Sarah
house TTT
15
James
house
B Street
1.5 miles
C Street
A Street
2 miles
4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much
money does each person get?
Sarah: £
Fiona: £
David: £
Answer:
Sarah: £15
Fiona: £15
David: £10
Step-by-step explanation:
3 + 3 + 2 = 8
40 ÷ 8 = 5
3 × 5 = 15
3 × 5 = 15
2 × 5 = 10
Solve the proportion! Please show work on how to do it
Answer:
You will use [tex]\frac{1}{4}[/tex] cup of sugar.
Step-by-step explanation:
Given that:
A recipe calls for 3/4 cup of sugar and 1/2 cup of brown sugar.
Ratio of sugar to brown sugar = 3/4 : 1/2
Amount of brown sugar used = 1/6
Amount of sugar used = x
Ratio of sugar to brown sugar = x : 1/6
As the relationship is proportional;
[tex]\frac{3}{4}:\frac{1}{2}::x:\frac{1}{6}[/tex]
Product of mean = Product of extreme
[tex]\frac{1}{2}x=\frac{3}{4}*\frac{1}{6}\\\\\frac{1}{2}x = \frac{1}{8}\\\\x = \frac{1}{8}*2\\\\x=\frac{1}{4}[/tex]
Hence,
You will use [tex]\frac{1}{4}[/tex] cup of sugar.
James and Martina each read
74 books last summer. How
many books altogether did
they read?
3
books
90
Answer:
148 books
Step-by-step explanation:
Answer:
148 books all together
Cameron is buying school supplies. He needs 4 notebooks, 5 packs of
pencils and 3 glue sticks. Notebooks cost $3 each, glue sticks cost $2 each
and packs of pencils cost $5 each. Cameron has a coupon to save $4 oft
his entire purchase. Write and evaluate a numerical expression to find the
total amount he will spend on school supplies.
Answer:
I'm pretty sure the answer is $43