Answer:
14.52 seconds.
Step-by-step explanation:
We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation
a(1)=−13
a(n)=a(n−1)+4
find the 2nd term in the sequence
Answer:
n=2
a(2)= -13(2-1)+4
a(2) = -13(1)+4
= -13+4
= -9
Genesis has 2/3 of her birthday cake left and she wants to share it between 3 of her friends. How much of the original cake will each friend receive? Kaycee says 6/9 Tari says 2/9 Janiyah says 3/9 Who is correct?
Answer:
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
Step-by-step explanation:
You know that Genesis has [tex]\frac{2}{3}[/tex] of her birthday cake left and she wants to share it between 3 of her friends.
To determine the amount of original cake that each friend will receive is determined by dividing the [tex]\frac{2}{3}[/tex] of the cake into 3 pieces, which is the number of friends.
[tex]\frac{2}{3}[/tex] ÷3
To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.
In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.
In this case:
[tex]\frac{2}{3}[/tex] ÷3= [tex]\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}[/tex]
[tex]\frac{2}{9}[/tex] of the original cake each friend will receive, so Tari is right.
The ratio of blue to red for a purple paint made by
28
mixing 24 oz of red with 28 oz of blue.
Answer:
28:24
Step-by-step explanation:
Blue to red is 28:24 or 7:6.
Solve the equation below for x.
0.5(x + 7) + 9 = 43
Answer:
x = 61
Step-by-step explanation:
0.5(x + 7) + 9 = 43
0.5x + 3.5 + 9.0 = 43
0.5x + 12.5 = 43.0
0.5x = 30.5
x = 30.5 / 0.5
x = 61
The solution to the value of x in the equation is 61
In a mathematical concept, an algebraic expression consists of variables, constants with their arithmetic operations.
From the given parameters
0.5(x + 7) + 9 = 43
Open brackets
0.5x + 3.5 + 9 = 43
0.5x + 12.5 = 43
0.5x = 43 - 12.5
0.5x = 30.5
x = 30.5/0.5
x = 61
Learn more about algebraic expressions here;
https://brainly.com/question/24998135
Suppose h(t) = -5t^2 + 3 is the height of a diver above the water (in meters), t seconds after the diver leaves the springboard. PLEASE HELP 50 POINTS!!!!
a. How high above the water is the springboard? Explain how you know.
b. When does the diver hit the water
c. At what time on the diver's descent toward the water is the diver again at the same height as the springboard?
d. When does the diver reach the peak of the dive?
Answer:
brainliest please i work really hard for this
Step-by-step explanation:
Hit Water:
He hits the water when his height, h(t), is 0 meters above water.
0 =
This is no factorable so we use the quadratic formula.
(-b±√(b²-4ac))/2a
(-10±√(10²-4*-5*3))/2*-5
(-10±√(100+60))/-10
(-10±√160)/-10
(-10±√16*10)/-10
(-10±4√10)/-10
(-10±4√10)/-10 Seperate to two equations
(-10+ 4√10)/-10 and (-10- 4√10)/-10
(-10+12.65)/-10 (-10-12.65)/-10
-.265 Not Solution 2.265 Seconds
Becasue there is no negative time
The diver hits the water at 2.265 seconds
For when he is at the same height as the spring board, we need to find the height of the spring board, and we do that by substituting 0 for t because we need the height 0 seconds after he jumps.
h(0) = -5*0^2 +10*0 +3
h(0) = 3 The height of the spring board is 3 so we need to know when he is at 3 meters again.
3= -5t^2 + 10t + 3 Subtract 3 from both sides
0= -5t^2 +10t
0= -5(t^2-2t) Factor out -5 and divide both sides by -5
0= t^2-2t
0= t(t-2) Factor out t.
Solve.
t= 0 t-2=0
t= 2
He will be at the same height as the spring board at t= 2 seconds
what is 1.75% as a fraction? BTW I NEED THIS ASAP
give answer plzzz fast...
it's very important for me...
Answer:
the required answers will be
a) -48b) -3c) 72d) 2Step-by-step explanation:
for explanation see the attached picture
okay
SOMEONE PLEASE HELP!!!
Select the reason why these triangles are
similar. If they are not, select "Not similar".
Answer:
not similar bcs side are not in ratio
A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?
Answer:
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Step-by-step explanation:
Let,
x be the pounds of oatmeal used
y be the pounds of crispies used
z be the pounds of chocolate
According to given statement;
1.50x+2.00y+1.00z = 17.00 Eqn 1
x+y+z = 11 Eqn 2
x = 2y Eqn 3
Putting x=2y in Eqn 2
2y+y+z = 11
3y+z = 11 Eqn 4
From Eqn 4
z = 11 - 3y Eqn 5
Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1
1.50(2y) + 2.00y + 1(11-3y) = 17.00
3y+2y+11-3y=17
[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]
Putting y = 3 in Eqn 3
x= 2(3)
x= 6
Putting in Eqn 2
6 + 3 + z = 11
z = 11-9
z= 2
Hence,
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Simplify the expression. Write your answer using an improper fraction
with no spaces.
Answer: 59/3k+14
Step-by-step explanation:
Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive
Answer:
23 orange pins did Shelby receive.
Step-by-step explanation:
25% = 0.25
92 × 0.25 = 23
plssss answer due very soon
Answer:
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
[tex]4\frac{1}{3} *\frac{3}{5} =\frac{13}{3} *\frac{3}{5} =\frac{13}{5} =2\frac{3}{5}[/tex]
HELP ME WITH MATH PLZZ
Answer:
d.exponential because as x increases by 1 y is multiplied by 3
Step-by-step explanation:
hope it help
A random survey of the quality of city parks is taken. Sixty-five percent of the people surveyed were pleased with the condition of the parks. If 182 people were pleased, then how many were surveyed? (sorry if its not a lot of points I just made an account ^ ^)
The population of an endangered squirrel is decreasing at a rate of 0.75% per year. There are currently
about 200,000 of these squirrels. This is represented by the equation, s = 200,000(0.9925" in which s is the
number of squirrels at any given point in time. How many squirrels will there be in 25, 50 and 100 years?
Answer:
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]s(t)=s_o\cdot(1-r)^t[/tex]
Where:
s(t) is the actual value of the function at time t
so is the initial value of s at t=0
r is the decaying rate, expressed in decimal
The population of squirrels is decreasing at a rate of r=0.75% = 0.0075. The initial number of squirrels is so=200,00. The exponential model for this situation is:
[tex]s(t)=200,000\cdot(1-0.0075)^t[/tex]
[tex]s(t)=200,000\cdot(0.9925)^t[/tex]
Where s is the number of squirrels at any time t.
We are required to find the number of squirrels in:
t=25 years. Substitute in the formula:
[tex]s(25)=200,000\cdot(0.9925)^25[/tex]
Calculating:
[tex]s(25)\approx 165,689[/tex]
t=50 years. Substitute in the formula:
[tex]s(50)=200,000\cdot(0.9925)^50[/tex]
Calculating:
[tex]s(50)\approx 137,264[/tex]
t=100 years. Substitute in the formula:
[tex]s(100)=200,000\cdot(0.9925)^100[/tex]
Calculating:
[tex]s(100)\approx 94,207[/tex]
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
If the original quantity is 8 and the new quantity is ,2 what is the percent decrease?
Answer: 75%
Step-by-step explanation:
75% of 8 is 6.
8 was decreased by 6 to get 2.
8 was decreased by 75% of its initial value to get 2.
Hope this helped!
Answer:
75%.
Step-by-step explanation:
8 - 100%
2 - x
[tex]\dfrac{8}{100 \%}=\dfrac{2}{x} \\\\x=\dfrac{2 \cdot 100 \%}{8} =25 \%[/tex]
100% - 25% = 75% - the percent decrease.
Could you write 9 inches and 180 as a ratio?
Answer:
9:120 but if simplified 1:20
Step-by-step explanation:
I hope this helps
Factor out the coefficient of the variable term.
The expression 0.15c-0.072 factored is: ?
Answer:error
Step-by-step explanation:
An expression is combination of variables, numbers and operators. The factor of expression 0.15c-0.072 is 0.15(c-0.48)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is
zero point one five times of c minus zero point zero seven two.
Expression 0.15c-0.072
A factor is a number that divides another number, leaving no remainder.
0.15c-0.072
Let us take 0.15 common
0.15(c-0.48)
Hence the factor of expression 0.15c-0.072 is 0.15(c-0.48)
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
using the function f(x) = -3 x -5, calculate f(-7)
on election day ,register votes go to a polling place to cast their votes
Answer:
Elaborate?
Step-by-step explanation:
Uhhhhhhh im confused
Question 10
10 pts
Miguel wants to repair his home. He places a 17-foot ladder against the side of the house 8feet
from the base of the house. What is the height of Miguel's home, x, from the ground to the top of
the ladder at the roof, to the nearest tenth of a foot?
Can someone please help me with number 16?
Answer:
I got 105°
Step-by-step explanation:
Triangle ABC is an isosceles triangle so base angles are equal. <A = 30° (given)
180 - 30 = 150°
150/2 = 75°
the little triangle is also isosceles. the original base angles have been bisected so the base angles are 37.5.
37.5 X 2 = 75°
180-75 = 105°
D = 105°
Determine the type of correlation represented in the scatter plot below.
A. a perfect positive correlation
B. a strong positive correlation
C. a weak positive correlation
D.no correlation
E. a weak negative correlation
F. a strong negative correlation
G. a perfect negative correlation
Answer:
f is correct
Step-by-step explanation:
A weak negative correlation. Correct option is E.
What is a correlation?A correlation between two variables tells the how the first variable will change, with change in second variable.
Given,
Value of y decreases as the value of x increases and vice versa.
Also, x and y are nearly linearly related.
But, there is still some deviation in the values and are not perfectly linear.
Hence, there is a weak negative correlation between x and y.
To learn more about correlation visit:
https://brainly.com/question/28898177
#SPJ1
17.82 + 6.4 =
???????
Answer:
24.22
Step-by-step explanation:
simple addition right lol
Answer:
24.22
Step-by-step explanation:
!!!!!!!!!!!
By what percent did
the Howard family's
water bill decrease from
June to July? June $110.00, July $50.00
Viktor deposits $4,300 in an account that
carns 6% interest compounded monthly.
How much is in the account after five years?
Answer:
Viktor will have $5,800 in his account after 5 years
Step-by-step explanation:
Compound Interest
It happens when interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Viktor deposits P=$4,300 in an account that earns r=6% interest compounded monthly. Since there are 12 months in a year, n=12. The interest rate is converted to decimal: r=6/100=0.06. The final amount in the account after t=5 years is:
[tex]\displaystyle A=\$4,300\left(1+{\frac {0.06}{12}}\right)^{12*5}[/tex]
[tex]\displaystyle A=\$4,300\left(1.005}\right)^{60}[/tex]
Calculating:
A = $5,800
Viktor will have $5,800 in his account after 5 years
Which statements are true about points A, B, and C? Check all that apply.
theres more then one answer.
The coordinates of point A are (3, –3).
The coordinates of point B are (1, –3).
The coordinates of point C are (–2, 2).
Point C is the closest to the y-axis.
Points A and B are the same distance from the x-axis.
Answer:
A B C are all correct yuhh
Step-by-step explanation:
How many presents would shelia wrap in 6 hours if she wrapped 4 presents every 4 minutes?
Answer:96
Step-by-step explanation:
The following set of coordinates represents which figure? (1,1), (5,3), (7,7), (3,5)
Answer:
1×1÷11. 5×3=15. 7×7=49 3×5=15 I'm not really sure but is there's anything else
A car corporation produced 580 more cars this month than last.
Write a signed number to represent this month's change in production.
Answer:
so we can't because you did put the full question
