A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answer:
hello
Step-by-step explanation:
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
What is the 50th term of the arithmetic sequence 7, 10, 13, ...?
show complete working format please
Answer:
154
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 10 - 7 = 3 , thus
a₅₀ = 7 + (49 × 3) = 7 + 147 = 154
You guys are life savers but does anyone know the answers to these questions? I’m so confused rn
Answer:
The third choice
Step-by-step explanation:
We need to find the slope and y-intercept of the line and then put it into y = mx = b form. To find the slope, pick a point on the line; I will use (-2, 5); count how many units up you need to go to get to the next point on the line, which in this case it would be 3. The count how many to the right or left you would need to go, which is 1 to the left. Moving left means a negative, so it is -1. Your slope fraction would be [tex]\frac{3}{-1}[/tex] , since slope is rise over run. You can sub this fraction in for m in y = mx + b, which will give you a revised equation of y = -3x = b. To find the y intercept, or b, just find the point where the line crosses the y-axis, which is -1. So, the equation is now y = -3x - 1.The correct answer is third choice.
The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?
Answer:
It's simple. All you need to do is subtract 2 from 40.
Length: 40 ft
Width: 38 ft
Hopefully that helped! :)
Step-by-step explanation:
What is the quotient of x and three increased by 12 = 20
Answer:
x= 24
Step-by-step explanation:
Quotient means divide, increased means add
x/3 + 12 =20
Subtract 12 from each side
x/3 +12-12 = 20-12
x/3=8
Multiply each side by 3
x/3 * 3 =8*3
x= 24
Answer:700 / n, the quotient of 700 and a number. 2w, two times a ... h - 3, three less than a number ... 20 + m, 20 more than a number. x - 12, a number decreased by 12.
Step-by-step explanation:
$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to double
Answer:
The formula you'll need is:
Years = ln (total / principal) / rate
ln means natural log
Years = ln (2,000 / 1,000) / .045
Years = ln (2) / .045
Years = 0.69314718056 / .045
Years = 15.4033
Step-by-step explanation:
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has.
If r is 23 cup, how many batches of cookies can Tyra make?
Enter your answer in the box.
Answer:
hold on almost got it
Step-by-step explanation:
Answer:
19
i dont need any code or stuff
i just wan to help
I need help with both of these
Answer:
12) 0.01 meter
13) B is the correct
Step-by-step explanation:
The table shows the prices of some candy items at a store. Jake selected 1.6 pounds of Fruit Chews and 2.6 pounds of Jelly Beans. The sales tax for his purchase was $0.52. .Item. .Price Per Pound. .Fruit Chews. $4.70 .Jelly Beans. $2.35 .Chocolate. $3.50 .If Jake had $25 to spend at the candy store, how much money did Jake have left after his purchase?
Answer:
The amount of money Jake had left after his purchase is $10.85
Step-by-step explanation:
The amount of Fruit Chews Jake selected = 1.6 pounds
The amount of Jelly Beans Jake selected = 2.6 pounds
The sales tax = $0.52
The amount of money Jake had to spend = $25
The table of values are;
Price Per Pound [tex]{}[/tex]
Fruit Chews = $4.70
Jelly Beans = $2.35
Chocolate = $3.50
The amount of money Jake had to spend $25
The total amount of the candies Jake bought = 1.6 × $4.70 + 2.6 × $2.35 = $13.63
The total amount Jake spent = The total amount of the candies Jake bought + The sales tax
The total amount Jake spent = $13.63 + $0.52 = $14.15
The amount of money Jake had left after his purchase = The amount of money Jake had to spend - The total amount Jake spent
The amount of money Jake had left after his purchase = $25 - $14.15 = $10.85
The amount of money Jake had left after his purchase = $10.85.
Which of the following is not a function
B is not right
Answer:
The first one
Step-by-step explanation:
They have 2 outputs for the same input
What is the nth term rule of the linear sequence
6,13,20,27,34?
Answer:
62
Step-by-step explanation:
f(x) = − 1
2
x for x = –6
Answer:
Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.
Step-by-step explanation:
The average American eats 16 pounds of turkey each year. Using the average, how much turkey will be eaten this year by the entire town of Turkey, TX (population 410)?
Answer:
6560lbs
Step-by-step explanation:
How can we get Equation B from Equation A?
3(x+2)=18
x+2=18
i need them solved aswell
Answer:
x = 4
Step-by-step explanation:
A:3(x+2)=18
Divide each side by 3
3/3(x+2)=18/3
x+2 = 6
This is the same equation as equation B
They will have the same solution since they are the same equation
x+2-2 = 6-2
x = 4
(not my answer)
- klhat percentage of 40 is 8?
Step-by-step explanation:
8/40 x 100% = 20%
Topic: percentage
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16
Answer:
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Step-by-step explanation:
On multiple-Choice history Test, rita received a mark of 80%. She answer 32 correctly
Let total number of questions be x.
According to the question,
80% of x is 32
or 80/100 × x = 32
or x = 32 ÷ 80/100
or x = 32 × 100/80
or x = 32 × 10/8
or x = 4 × 10
or x = 40
So, total number of questions is 40.
Solve the equation
5(4+t) = 5t + 20
Answer:
it is infinite solutions
Step-by-step explanation:
because 20+5t=20+5t even if you put any number as the variable
7th grade math help me plzzzzz
Common Factors for
21 and 63
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!
PLEASE ANSWER AS SOON AS POSSIBLE!
Consider the equations shown: ax + by = ab & 2ax + 3by = 3b
Which of these is the value of y in terms of a?
Option 1 : y = 3a – 35
Option 2 : y = 2ab – 3b
Option 3 : y = 9a – 35
Option 4: y = 3 – 2a
Answer: [tex]y=3-2a[/tex], Option 4
Step-by-step explanation:
[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]
multiply 2 at [tex]ax+by=ab[/tex]
[tex]2ax+2by=2ab[/tex]
subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]
[tex]by=3b-2ab[/tex]
[tex]y=3-2a[/tex]
What is the domain of the function in this table
The main fuction is mulitiply by 2 each 1 point
Step-by-step explanation:
de un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?
Answer:
2
Step-by-step explanation:
el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2
Answer: 2
Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2 Espero que ayude Ten un día maravilloso :)
find the area of the figure. (sides meet at right angles.) 2m 2m 2m 2m 3m 7m 7m 7m
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
Sophie bikes s miles per hour. Her friend, Rana, is slower. Rana bikes r miles per hour.
c
Rana and Sophie went for a 20-mile bike ride today. Each girl biked at her usual speed. How long did Sophie wait for Rana at the end of the route?
Answer:
C x 20 + R x 20
Step-by-step explanation:
C x 20 + R x 20 or
20c + 20r
A number t increased by seventy
Answer: t + 70
Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.
In the equation, 3b+4=7, what is the 4
Answer:
constant
Step-by-step explanation:
3 is the coefficient, b is the variable, 4 and 7 are the constants.