Answer: 19 or 20 $
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time t=0. The function that models this situation is h(t)=-16t^2+63t+4. What will be the height of the ball after 2 seconds?
Answer:
66 feet
Step-by-step explanation:
We know that the t in the equation represents the time. So, substitute 2 for the t in the function and simplify to find the height after 2 seconds:
[tex]h(t) = -16t^2+63t+4\\h(2) = -16(2)^2+63(2)+4\\h(2) = -16(4)+126+4\\h(2) = -64 + 126+4\\h(2) = 66[/tex]
Thus, the height would be 66 feet.
Evaluate the expression 4x for x=5.
4x=
= when x = 5.
(Simplify your answer.)
Write as a decimal. 7/18 If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
0.38888888888889
7 divided by 18
Step-by-step explanation:
Use addition to solve the system of linear equations. Include all of your work in your final answer.
Answer: No solutions
Step-by-step explanation:
You can either use substitution or elimination
You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions
Please help me pls!!
Answer:
Step-by-step explanation:
Calculating the Perimeter of a Compound Shape made from Rectangles. A compound shape (or composite shape) is a more complex shape that is made up of two or more simple shapes. To find the perimeter, we simply add up the lengths of each outside edge.
HOPE IT HELPS
Splitting investments. Joan had $3,000 to invest. She invested part of it in an investment paying 8% and the remainder in an investment paying 10%. If the total income on three investments was $290, than how much did she invest at each rate?
Answer:
Step-by-step explanation:
From the given information:
Let assume that the invested amount in the investment paying 8% interest is a
Now, since the total amount invested = $3000.
Then, the amount invested in the investment that will be paying 10% interest can be represented as:
= $(3000-a)
Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a
Income earned from $(3000-a) in the 10% investment is:
= $(3000-a)× 10/100
= $(300 - 0.1a)
Since total income of the two investment = $290;
Then;
0.08a + (300 - 0.1a) = 290
0.08a + 300 - 0.1a = 20-
300 - 0.02a = 290
-0.02a = -10
a = -10/-0.02
x = 500
Thus;
the amount invested in an investment paying 8% interest = $500
the amount invested in an investment paying 10% interest = $(3000 - 500) = $2500
A factory employs 98 workers. Of these, 10 receive a wage of $150
per day and the rest receive $85.50 per day. To the management,
a week is equal to 6 working days. How much does the factory
pay out each week?
Please help!!
Answer:
$54,144
Step-by-step explanation:
To answer this question, we must break up the problem into separate parts. First, we know 10 out of 98 empolyees earn $150 per day, and they work 6 days a week. Therefore, we can multiply 150 by the amount they work each week, which is 6:
150 * 6 = 900
Now, we multiply that number by the amount of workers earning this money, which is 10:
900 * 10 = 9,000
Now, we know that 10 employees out of the 98 total earn $9,000 altogether, but we aren't finished.
Next, we look at the remaining 88 workers. They earn $85.50 per day, working 6 days a week as well. We must multiply these numbers:
85.50 * 6 = 513
Now, we multiply that number by the amount of workers earning this money, which is 88:
513 * 88 = 45,144
So, we know that the 88 employees earn $45,144 total during a work week, and the other 10 earn $9,000 total. We must now combine these numbers to get our final answer:
45,144 + 9,000 = 54,144
So, the factory pays out $54,144 each week
Hope this helps :)
Find x so that QS||PT. PQ=8,QR=5,RS=15,ST=x+3
Answer:
15/8= 3+15/8+(x-3)
Step-by-step explanation:
What is the area of the triangular base?
Answer:
90cm2
Step-by-step explanation:
1/2x base x height.
1/2 x10 x 18
90cm2
find the zero of the following function: f(x)=2/3(x)+6
What is the equation, in point-slope form, of the line passing through the point (8, -3) with a slope of 5?
Ty decided to invest $600 in an account and was able to take out $670 from the account
after 8 years. The interest in the account was compounded continuously. What was the
interest rate for his account?
The interest rate for his account was r ≈ 1.375% .
B. The time in Paris is 6 hours ahead of New York. Use P for Paris time and N for New York time to express P as a function of N. (Represent your answer in terms of a 12-hour clock.) How would you adjust your formula if P comes out greater than 12?
Answer:
P(N) = 6 + N ; if P(N) > 12 ; P(N) = 6 + N - 12
Step-by-step explanation:
Paris is 6 hours ahead of New York ;
P - Paris time
N - New York time
To represent P as a function of N
P(N) = 6 + N
If P comes out greater than 12 ; because we want a 12-hour clock :
If P(N) is > 12
P(N) becomes ;
P(N) = 6 + N - 12
Find the measure of FG.
Can someone help??
Answer:
28
Step-by-step explanation:
Side FG = Side DG. Therefore, 5x - 17 = 3x + 1, or 2x = 18, or x = 9.
If x = 0 then the length of side FG is 5(9) = 17, or 28.
NEED HELP FAST PLEASE !!
What is the value of x
Answer:
4.5
Step-by-step explanation:
use altitude rule
8 / 6 = 6 / x
8x = 36
x = 36/8 or 9/2 or 4.5
please helppppppppppppppppppppppppppppp
Answer:
It is exponential
Find the area of the circle. Round to the nearest tenth. Use 3.14 or 22/7 for pie.
5.6 cm
a. 98.5 cm2
b. 8.8 cm2
c. 24.6 cm2
d. 17.6 cm2
Answer:
98.5 cm2
Step-by-step explanation:
PLEASE HELP I DONT KNOW THIS
Answer:
Exponential Growth
Step-by-step explanation:
The function is increasing and not decreasing. Because the base is greater than 1, the equation represents exponential growth. If the base were to be less than 1, then it would represent exponential decay.
Please help and make it right..
Answer:1/48
Step-by-step explanation: multiply the fraction by 1/2
5 g of margarine contains 3.6 g
of fat.
How many grams of fat are
there in 82 g of margarine?
Answer:
59.04g of fat
Step-by-step explanation:
I) Figure out how much grams of fat is in 1g of margarine:
3.6 ÷ 5 = 0.72
II) Next, we can figure out how much fat is in 82 g of margarine:
0.72 × 82 = 59.04
One shot formula:
(3.6g ÷ 5g) × 82g = 59.04g
Please help due today
Answer:
The answer is C, A, B
Step-by-step explanation:
Richmond High School has 1900 students and is shrinking by 15 students per year. Write a rule that represents the population at Richmond High School. Let x represent years and y represent population.
Answer:
y = -15x + 1900
Step-by-step explanation:
This is correct because, your base number is 1500, so that is your y-intercept. The school's population is shrinking by 15 students per year so, that becomes your slope. Hope I helped. ;)
Зm — 5n = 11
what is this answer?
Step-by-step explanation:
mn=1/-2
i hope it helps you
Simplify the expression.
-5(-7d + 2)
Answer:
35d-10
Step-by-step explanation:
distribute the -5
Answer:
-7d+2B4
Step-by-step explanation:
If its wrong im sorry I tried.
At a restaurant, customers can order a hamburger, a cheeseburger, or a chicken sandwich as their main dish. With any of these main dishes they can order a side of french fries, onion rings or a salad . What is the total possible outcomes
Arthur has a balance of $2330 on his credit card, which he plans to pay off by
making a payment of the same amount each month. Which of these monthly
amounts will allow Arthur to pay off his balance the fastest?
A. $70
B. $65
C. $80
D. $75
SUBMIT
Answer: B. $80
Step-by-step explanation:
For what values of x is the expression below defined?
2x2 + 5x
Answer:
9
Step-by-step explanation:
The volume of gas a balloon can hold varies directly as the cube of its radius. Imagine a balloon with a radius of 3 inches can hold 108 cubic inches of gas. How many cubic inches of gas must be released to reduce the radius down to 2 inches?
Answer:76
Step-by-step explanation:
Answer:
76 in³Step-by-step explanation:
Volume of gas varies directly as the cube of its radius.
V = kr³Find k:
108 = k(3³)k = 108/27k = 4Volume of the smaller balloon:
V = 4r³V = 4(2³) = 32 in³The difference in volumes is the volume of released gas:
108 - 32 = 76 in³Kevin says it will take him less than 1 hour to do homework and play soccer is he correct? Explain.
Answer:
I don't know how I would know but if he takes 30 minutes or less on each individual activity then he is correct, if he exceeds those limits, he is incorrect.
Step-by-step explanation:
BAKE SALE Cassandra and Alberto are selling pies for a fundraiser. Cassandra sold 3 small pies and 14 large pies for a total of $203. Alberto sold 11 small pies and 11 large pies for a total of $220. Determine the cost of each pie.
Answer:
Large pie = 13
small pie = 7
Step-by-step explanation:
hope this helps!
Taking into account the definition of a system of linear equations, the cost of each small pie is $7, while the cost of each large pie is $13.
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
In this case, a system of linear equations must be proposed taking into account that:
x: cost of each small piey: cost of each large pieCassandra sold 3 small pies and 14 large pies for a total of $203. This is represented by: 3x + 14y= 203
Alberto sold 11 small pies and 11 large pies for a total of $220. This is represented by: 11x + 11y= 220
So, the system of equations to solve is:
[tex]\left \{ {{3x+14y=203} \atop {11x+11y=220}} \right.[/tex]
There are various methods to solve a system of equations, it is decided to solve by the substitution method, which consists of solving one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable y from the first equation, you obtain:
14y= 203 - 3x
y= (203 - 3x) ÷14
y= 14.5 - [tex]\frac{3}{14}[/tex]x
Replacing this expression in the second equation and solving, you obtain:
11x + 11×(14.5 - [tex]\frac{3}{14}[/tex]x)= 220
11x + 11×14.5 - 11×[tex]\frac{3}{14}[/tex]x= 220
11x + 159.5 - [tex]\frac{33}{14}[/tex]x=220
11x - [tex]\frac{33}{14}[/tex]x=220 - 159.5
[tex]\frac{121}{14}[/tex]x= 60.5
x= 60.5÷ [tex]\frac{121}{14}[/tex]
x= 7
Finally, to obtain the value of y, it is replaced in the expression previously obtained for y:
y= 14.5 - [tex]\frac{3}{14}[/tex]x
y= 14.5 - [tex]\frac{3}{14}[/tex]×7
y= 14.5 - [tex]\frac{3}{2}[/tex]
y= 13
Finally, remembering that x represents the cost of each small pie and y represents the cost of each large pie, so the cost of each small pie is $7, while the cost of each large pie is $13.
Learn more about system of equations:
https://brainly.com/question/1995493
https://brainly.com/question/3291576
https://brainly.com/question/7487907?referrer=searchResults