Answer:
id understand wat the question is
Step-by-step explanation:
A person standing close to the edge on top of a 144-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 128 t + 144 models the ball's height about the ground, h ( t ) , in feet, t seconds after it was thrown. What is the maximum height of the ball?
Answer:
400mStep-by-step explanation:
Given the quadratic equation that models the height of the ball above the ground as;
h ( t ) = − 16 t^2 + 128 t + 144
t is in seconds
To get the maximum height of the ball, first we must know the time taken by the ball to reach the maximum height.
Note that the ball has a velocity of zero at its maximum height.
v(t) = dh/dt
v(t) = -32t+ 128
at max height, v(t) = 0
0 = -32t + 128
32t = 128
t = 128/32
t = 4secs
To get the maximum height of the ball, you will substitute t = 4 into the modeled function as shown;
h ( t ) = − 16 t^2 + 128 t + 144
h ( 4 ) = − 16 (4)^2 + 128 (4) + 144
h ( 4 ) = − 256 + 512 + 144
h(4) = 400m
Hence the maximum height of the ball is 400m
Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee? $
Answer:
3
Step-by-step explanation:
the shopkeeper buys 100 oranges for $ 25, 50 kg of apples for $ 80 and 20 melons for $ 15. he sells all of these oranges, apples and melons at the prices shown in the table. calculate his percentage profit
Answer:
Table?
Step-by-step explanation:
what is the value of x
Umm there is no numbers
2. Find the roots of the following quadratic equations by factorisation:
100x2 - 20x + 1 = 0
Answer:
x = [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Given
100x² - 20x + 1 = 0 ← this is a perfect square
(10x - 1)² = 0, thus
10x - 1 = 0 ( add 1 to both sides )
10x = 1 ( divide both sides by 10 )
x = [tex]\frac{1}{10}[/tex]
Answer:
Step-by-step explanation:
100x^2-20x+1=0
100x^2-(10+10)X+1=0
100x^2-10x-10x+1=0
10x(10x-1)-1(10x-1)=0
(10x-1)(10x-1)=0
So roots are X=1/10,1/10
Help Please! A runner saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes?
F $71.43 G $60.00 H $51.23 J $8.75
Answer:
Option F: $71.43 is the correct answer.
Step-by-step explanation:
By the question we can observe that 35% of regular price is $25 so this information will be used to calculate the original price of the shoes.
Let
P be the price of shoes
and d be the discount
So
[tex]d = \$25\\P=?[/tex]
The discount is 35% of P so
[tex]d = 35\%\ of\ P\\25 = 0.35 * P\\P = \frac{25}{0.35}\\P = 71.42857...[/tex]
Rounding off to the nearest hundredth
The regular price is: $17.43
Hence, option F: $71.43 is the correct answer.
Laundry detergent is priced at 20 ounces for $3.40 or 14 ounces for $2.10.what is the the unit rate of the laundry detergent that is better value?
Answer:
0.17 cents per ounce, which is the 20 ounce
Step-by-step explanation:
3.40 / 20 = 0.17 cents per ounce
2.10/14 = 0.15 cents per ounce
Answer:
14 Ounces for $2.10
Step-by-step explanation:
To find the answer you need to find the cost per ounce by dividing the cost by the ounces
3.40/20 = 0.17. So $0.17 per ounce
2.10/14 = 0.15. So $0.15 per ounce
Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?
Answer:
8 hours
Step-by-step explanation:
72 miles per hour
576/72= 8
6w-19+k when w=8 and k=2
Answer:
f
Step-by-step explanation:
f
BONUS! What is the slope of the line that passes through (-3, 5) and (-1, 8)?
Answer:
The slope is 3/2
Step-by-step explanation:
Slope formula y2 - y1
x2 - x1
8-5/-1+3
3/2
The slope is 3/2
~PumpkinSpice1
Answer:
The slope is 3/2
Step-by-step explanation:
Use slope intercept form. [tex]\frac{y_2-y_1}{x2-x_1}[/tex]
[tex]\frac{8-5}{-1-(-3)}[/tex] = [tex]\frac{3}{2}[/tex]
2 Simplify: 2 (5+ 3x) + (x + 10)
Answer:
7x+20
Step-by-step explanation:
multiply (5+3x) by 2 and combine like terms
What is 7x=5y x 6. Plllllssss heeelllp meh. Im stupid and don't know what this is.
Answer:
x=0
Step-by-step explanation:
"x6" was replaced by "x^6".
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :7x-(5y*x^6)=0
7x - 5x6y = 0
7x - 5x6y = -x • (5x5y - 7)
-x • (5x5y - 7) = 0 Hope this helps and you are not stupid everybody has at least something that they dont understand :)))
Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Step-by-step explanation:
Juan runs in place for 256 minutes on Monday. He runs in place for 112 times as long on Tuesday.
Juan draws this model to represent the number of minutes he runs in place on Tuesday.
How many minutes does Juan run in place on Tuesday?
Answer:
the answer is 4.25 or 4 1/4
Step-by-step explanation:
Help me solve this problem please
Answer:
sorry im just answering this cuz need points
Step-by-step explanation:
can't figure this out
Answer:
2.55%
Step-by-step explanation:
You have 11 years to make $500, To do this, take the 11 and multiply it by the percentage, after that, do $2000 divided by 11 x (percentage) answer. Then you will have the difference, which should roughly equal $556, which is slightly over $500 but you can't have it under so this is the best answer.
the polygons in each pair are similiar. help find the missing side length???
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].
1(x-31)= 5(2+5)vvvvvb
Answer:
1x-31=35
1x=35+31
1x=66
x=66
i need help please asap
Answer:
[tex]1.94[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]\frac{8.6 \cdot 0.082}{0.363}[/tex]
Step 2: Evaluate
Multiply: [tex]\frac{0.7052}{0.363}[/tex]Divide: [tex]1.9427[/tex]Round: [tex]1.94[/tex]Answer:
1.94
Step-by-step explanation:
First we multpiy the top
8.6 x 0.082 = 0.7052
0.7052/0.363= 1.942
=1.94
Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.
Answer:
Buy-Here Warehouse has the better deal.
Step-by-step explanation:
divide
$6.50 divided by 2 = $3.25
$3.25 costs less than $3.95 for a pound
Evaluate (2 * x - 4) for x = 2
Answer:
0
Step-by-step explanation:
The expression we are given is (2 * x - 4).
We need to find the value of expression when x = 2.
Let's substitute 2 in as x.
Now our expression is (2 * 2 - 4).
First, let's multiply our 2 with our substituted 2.
1. 2 * 2 = 4
We're left with (4 - 4).
Finally, let's evaluate this expression.
2. (4 - 4) = 0.
Our answer is 0.
So (2 * x - 4) when x = 2 is 0.
Feel free to give brainliest.
Have a great day!
DUE AT TWELVE.Help it's savvas math pleaseeeeeee
Answer:
65%
Step-by-step explanation:
What I did was 2900/2 is 1450 which is half and than I subtract 1450 by 1,885 giving me 435 more people. I honestly, guess 65% but I also checked it on the calculator 2900 - 65% give 1,885. So, 65% is the correct answer.
Which ratio is less than 15 Over 24
A. 1/2
B. 7/8
C. 19/24
D. 6/8
Answer:
A
Step-by-step explanation:
Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.
Use this information to complete each statement about the linear equation.
Answer:
y= 3x
Step-by-step explanation:
This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.
Answer:
slope of the linear equation is 3
a point on the graph of a linear equation is (4,12)
linear equation can be written as y-12 = 3 (x-4)
Step-by-step explanation:
Cuz it is
FIRST CORRECT ANSWER GETS BRAINLEST!!!
Gregg has q quarters and p pennies. His brother has 4 times as many quarters and 8 times as many pennies as Gregg has. Write the sum of the number of coins they have, and then combine like terms.
What does the area of any shape tell us??
The area of a shape tells you the amount of space inside. The perimeter tells you how long the outline is. This is what the area and perimeter tell you.
Hope this helps you!
To plot the point (5, -3) you would move up 5, then left 3.
1. False
2. True
Answer:
False
Step-by-step explanation:
Positive in the X-axis is always to the right and negative is left and in the Y-axis positive is up and negative is down
Зу +6 - 4(х - 9) Standard Form
Answer:
3y + 42 -4x
Step-by-step explanation:
3y +6 -4(x-9) distribute -4 through the ( )
3y + 6 -4x + 36 calculate add the numbers
3y + 42 -4x
Given that sin θ = 3/4 and θ is in Quadrant II:
Find cos θ.
this is for the Sin
*Remember that sin = opposite / hypotenuse*
a² + b² = c² (where a and b are legs and c is the hypotenuse)
From the picture, you can see:
a = 3
c = 4
Plug these into the equation and solve for b.
* a² + b² = c² *
step 1: 3² + b² = 4²
step 2: 9 + b² = 16
step 3: b² = 16 - 9
step 4: b² = 7
step 5: √(b²) = √7
step 6: b = ± √7
FOR COS:
From the picture, you can see that if θ is in quadrant II, b has to be negative.
b = -√7 = adjacent
Remember that cos θ = adjacent / hypotenuse.
cos θ = adjacent / hypotenuse
cos θ = (-√7 / 4)
How can I solve (-2)+(-2)