Answer:
After 1.87 seconds the skateboarder is 8 ft from the bottom of the hill.
Step-by-step explanation:
The quadratic function d = –2*x² + 15 models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill.
You want to know after how many seconds the skater is 8 feet from the bottom of the hill. That is, with the distance being 8 feet, you want to calculate the time t. Replacing in the expression d by the value of 8 feet:
8=–2*x² + 15
Solving:
8-15 = -2*x²
-7= -2*x²
(-7)÷(-2)= x²
3.5= x²
√3.5=x
1.87= x
After 1.87 seconds the skateboarder is 8 ft from the bottom of the hill.
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
will mark brainlist!!!!
what is the meaning of equations
Answer:
I hope it helps u
Step-by-step explanation:
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol(=) between two algebraic expressions that have the same value. ... In an algebraic equation, the left-hand side is equal to the right-hand side.
Mark me as brainlist answer,
have a nice day,
thank you
Similar figures have the same ________ but not necessarily the same size.
Solve the equation
x^2 = -8x-7
by factoring
Answer:
x= -1,-7
Step by step:
Answer:
x = -7 and -1
Step-by-step explanation:
Move the right side of the equation over to the left;
x^2+8x+7 = 0; Factor
(x+7)(x+1)=0 ; Solve for x;
x = -7 and -1
Perimeter, Area, and Volume
What is the volume of a
rectangular prism that has a
height of 6 inches, a length
of 2 inches, and a width of 7
inches?
Answer:
84
Step-by-step explanation:
LengthxWidthxHeight.
6x2x7=84
I have to do 4 gallons 2 quarts of juice. Second one is 1 3/4 gallons more than the first one and how many are together.
Answer: [tex]\dfrac{43}{4}\ \text{Gallons}[/tex]
Step-by-step explanation:
Given
The first one has 4 gallons and 2 quarts of juice
The second one has 1 [tex]\frac{3}{4}[/tex] gallons more than the first
First has
[tex]\Rightarrow 4+\dfrac{2}{4}\\\\\Rightarrow \dfrac{9}{2}\ \text{Gallons}[/tex]
second has
[tex]\Rightarrow 1\dfrac{3}{4}+\dfrac{9}{2}\\\\\Rightarrow \dfrac{7}{4}+\dfrac{18}{4}\\\\\Rightarrow \dfrac{25}{4}\ \text{Gallons}[/tex]
together it is
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{18}{4}\\\Rightarrow \dfrac{25+18}{4}\\\Rightarrow \dfrac{43}{4}\ \text{Gallons}[/tex]
please answer if you are able to see my picture. thanks:•)
Answer:
in 5 weeks i think
Step-by-step explanation
I added 300+20 5 times. Same with the 250
Answer:
5
Step-by-step explanation:
to vick = W1 = 300 + 20 x ( 1 )
to anya = W2 = 250 + 30 x ( 2) Both 1 and 2 ( simulataneous )
When W1 = W2
300 + 20 x = 250 + 30 x
10 x = 5
so they need 5 months
What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units
Answer:the answer is o.7.7
Step-by-step explanation:
What is 0.75 = 0.4 + 100
Answer:
0.75≠100.4
Step-by-step explanation:
can an ace help me now plss
Answer:
Graph B
Step-by-step explanation:
[tex]y = x^2[/tex] is a quadradic function. It graphs as a parabola. It has a vertex point of (0,0) and it opens upwards.
See the graph attached.
Hope this helps.
pls helppp!
what is the area of the the shaded region?
a. 11 square cm
b. 19 square cm
c. 16 square cm
d. 6 square cm
Shabina is making a cubiod-shaped swimming pool. Her pool will be 20m long and 5m wide. Its volume will be 200m squared. What is the depth of her pool?
Answer:
2m
Step-by-step explanation:
HxWxL
20m x 5m = 100m
200m/100m = 2m
Select the correct answer.
The daily high temperature of Elk Creek drops by 1.2°C every day. What is the net change in the daily high temperature after two calendar weeks?
Answer: the correct answer is 16.8°C.
Step-by-step explanation:
Answer:
-16.8
the number is in the negatives because the temperature is dropping
I hope this helps
A small toy car costs $3. A large toy car costs 5 times as much as the small one.
Aaron wants to buy one of each. Which equation can he use to find the cost (a)
of the two cars?
Answer:
(3 x 1) + (3(5) x 1) = a
Step-by-step explanation:
A cylindrical water tower has a base radius of 9 ft and a height of 11 ft. How many gallons of paint would it take to paint the entire tank if one gallon covers 200 square feet? find the surface area and # of gallons
Answer:
200 gallongs
Step-by-step explanation:
Josh is a car salesman. He gets an annual salary of $45,000 plus a commission, C, of $250 for every car he sells. Which equation represents Josh's total annual salary, S?
A. S=45,000+250C
B.S=45,000−250C
C. S=45,000C+250
D. S=45,000C−250
NEED HELP ASAP ON TIMED TEST!
Henry is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so that it leaned up against the house.
Enter the measure of the angle that is formed between the ladder and the ground, rounded to the nearest tenth.
Answer:
51.3 degrees
Step-by-step explanation:
Use Trig Ratio to solve for theta aka the angle formed between the ;adder and the ground.
So we have the hypotenuse = 24ft and the adjacent = 15ft so I am going to use the cos ratio.
cos ∅ = a/h
rearrange for theta
∅ = cos -1 ( a/h)
now sub in the information
∅ = 51.3178
now round to the nearest tenth
∅ = 51.3 degrees
write your therefore statement
therefore, the angle between the ladder and the ground is 51.3 degrees.
stephen takes a walk around the block. the rectangular block is 125 m long and 75 m wide. How far does Stephen walk?
Answer:
400m
Step-by-step explanation:
It s be the perimeter.
Length X2 sides + width x 2 sides
125 X2 sides + 75. X2 sides
250 + 150
400m
In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
A triangle contains angles measuring 28oand 37o. How many degrees is the third angle?
Nicole, Jared, Adam, and Mary are in a tennis tournament. They all have an equal chance of winning. Use an organized list to help you answer what is the probability that Nicole will come first or second?
Answer:
½
Step-by-step explanation:
since they're 4 of them and she has 1 chance of being 1st or 2nd...it would be 2 out of 4 and when simplified it is ½
ANSWER FOR BRAINLIEST
Answer:A
Step-by-step explanation: A is 8d+d, and since d=1, 8d,+1d is equal to 9d
Mike measured the stage where his band was going to play to determine if it is a right triangle. Does the stage with side lengths of 36 feet, 48 feet, and 60 feet form a right triangle
Answer:
let
hypotenuse[h]=60ft
base[b]=36ft
perpendicular [p]=48ft
by using Pythagoras law
p²+b²=h²
48²+36²=60²
2896≠3600
since p²+b²≠ h²[so the stage is not in a right angled triangle]but it is scalene triangle
The midpoint of AB is M(0,3). If the coordinates of A are (4, -1), what are the
coordinates of B?
Answer:
Submit Answer
attempt 1 out of 2
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then
[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]
5x-4=16 value of x is what?
Answer:
x = 4
Step-by-step explanation:
5x-4=16
Add 4 to both sides of the equation.
5x = 20
Divide both sides by 5.
x = 4
Answer:
x=4
Step-by-step explanation:
You first add 4 to both sides and get 5x=20. Then you divide both sides by 5 to isolate the x and get x=4.
Hope this helped :)
Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }
Answer:
see, to find the next number, you need to add three to the last one
for example, the 3 was added to 2, so we have five here
5+3=8
8+3=11
and ....
so the next ten numbers are:
8, 11, 14, 17,20,23,26,29,32,35
I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it
Answer:
it's +3 each time
Step-by-step explanation:
the formula for the nth term of an arithmetic progression is
[tex]a _{n} = d \times n + a _{1} - d[/tex]
In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.
Answer:
6
Step-by-step explanation:
[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]
[tex]2)\ 2x + 4 + y +z = 48[/tex]
[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]
[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]
Answer:
6
Step-by-step explanation:
[tex] \triangle CDE \sim \triangle FGH[/tex]
[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]
(Area of similar triangle theorem)
[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]
[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]
[tex] 2x + 4 = 2\times 8[/tex]
[tex] 2x + 4 =16[/tex]
[tex] 2x =16-4[/tex]
[tex] 2x =12[/tex]
[tex] x =\frac{12}{2} [/tex]
[tex] x = 6 [/tex]
Mr. Tran is teaching his daughter vowels. He placed sets of cards into two separate bags. What is the probability that his daughter will draw out a vowel from each bags? Answer in percentage.
Answer: bag 1 40%
bag 2 25%
i think hope it helped
Step-by-step explanation: