Answer: 16
Step-by-step explanation:
8 × (2 + 1) 2 ÷ 3
PEMDAS
8 × (2 + 1) 2 ÷ 3
8 × 3 × 2 ÷ 3
EMDAS
24 × 2 ÷ 3
MDAS
48 ÷3
DAS
16
rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, a in seconds, by the given equation. Using this equation, find out
the time at which the rocket will reach its max, to the nearest 100th of a second.
y=16x^2+ +225x+79
Answer:
7.03 seconds
Step-by-step explanation:
First, you need to differentiate the equation (The derivative of y represents the rocket's velocity):
y' = 32x + 225
Then, set y' to 0 and solve for x
0 = 32x + 225
x = 7.03s
Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3
Answer:
30cm, 60cm
Step-by-step explanation:
Given data
Dimensions of the first rectangle
Length =10cm
Width =20cm
We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3
Hence the dimensions of the second rectangle is
Length =10*3= 30cm
Width = 20*3= 60cm
I already did number 1 but can someone help me with number 2
Answer:
17×17 is 289 therefore her calculation is correct
I'm failing 3 classes and am behind in all 4 classes. Got any advice anyone?
Answer:
Try to limit distractions, like ur phone, and take notes during class.
Kaya’s family spends $105 to rent a boat for 7 days. The total cost, c, of the boat rental is proportional to the number of days, d, the family rents the boat.
How much does it cost, in dollars, to rent the boat for one day?
Answer:
$15/day
Step-by-step explanation:
If the rent is proportional to the number of days, the dividing the total cost by the number of days will tell you the price of each day:
105/7=15
Hallie made 12 quarts of homemade yogurt. She put the yogurt in 34-cup containers. How many containers did Hallie fill?
Answer:
1 container and 14 cups
Step-by-step explanation:
We know that 1 quart = 4 cups
therefore, 12 quart = 48 cups
each container has 34 cups
so one container would be full and remaining 48-34 =14 cups can be filled in another container.
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the
standard deviation is 3.1 years.
Use the empirical rule (68-
95 - 99.7%) to estimate the probability of a gorilla living between 11.5 and 27
years.
Answer:
The probability of a gorilla living less than 23.9 years is 0.84 (84%)
Step-by-step explanation:
Emma is travelling to the store 25 miles away from her house. On Emma's map, her house and the store are 5 inches apart. What is the scale used for Emma's map?
a.) 1 inch=5 miles
b.) 1 inch=15 miles
c.) 1 inch=25 miles
d.) 1 inch=100 miles
Which inequality correctly compares 2/5, 1/8 ,5/7
Answer:
The correct answer is -3.9> -4.5
Step-by-step explanation:
if $40 equals 15 gallons, how much money is in 3 gallos? this is due soon pls help
Answer:
$8
Step-by-step explanation:
$40:15 gallons
:3 gallons
So first you say what did you do to 15 to get three?
15÷3= 5
Now you divide forty by five since that is what you did to 15 to get three.
40÷5= 8
Help? A factory makes candles. Each candle is in the shape of a triangular prism, as shown below. If the factory used 7350 cm³ of wax, how many candles did the factory make?
Answer:
your answer will be 42
Step-by-step explanation:
[tex]v=(\frac{1}{2}bh)H\\\\\frac{1}{2} (7cm)(6cm)(8cm)\\\\=168cm^{3} \\\168cm^{3} =x:7056cm^{3} \\\\\frac{1}{168} =\frac{x}{7056} \\\\x=\frac{7056}{168} =42[/tex]
hope it helps.
A delivery driver is traveling a total of 250 miles from a warehouse to a store at an average speed of 45 miles per hour. The function f(x)=250-45xf(x)=250−45x represents the distance remaining, in miles, after traveling for xx hours.
Answer:
115miles
Step-by-step explanation:
Given the function of the distance remaining represented by the function
f(x) =250-45x where;
x is the time taken in hours
Since we are not told what to loom for, we can calculate the distance remaining after 3hrs.
Substitute x =3 into the equation
f(3) = 250-45(3)
f(3) = 250-135
f(3) = 115
Hence the distance remaining after 3 hrs is 115miles
Find the area of the region shaded in green. Use 3.14 to approximate pi.
Answer:
254 cm² (to 3 s.f.)
Step-by-step explanation:
Area of shaded region
= area of large circle -area of smaller circle
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
Radius of large circle= 15cm
Radius of smaller circle= 12cm
Area of shaded region
= π(15²) -π(12²)
= 225π -144π
= 81π
= 81(3.14)
= 254.34
= 254 cm² (3 s.f.)
Find the excluded value of the function Y= - 10/6x-5. The excluded value is x =??
Answer:
The excluded value is x = 5/6
Step-by-step explanation:
Here, we want to calculate the excluded value
The excluded value is simply the value of x that will make the denominator of the fraction equals zero
We have this as;
6x -5 = 0
6x = 5
x = 5/6
The value, in dollars, of an antique has increased exponentially over x years as shown in the graph. image What are the domain and range of the function? A. Domain: x ≥ 0 Range: y ≥ 0 B. Domain: x ≥ 0 Range: y ≥ 1,000 C. Domain: all real numbers Range: y ≥ 1,000 D. Domain: all real numbers Range: y ≥ 0
Answer:
C. Domain: all real numbers Range: y ≥ 1,000
Step-by-step explanation:
0 to 10 years = 50
30 to 40 years = 150
Domain: all real numbers and Range: y ≥ 1,000, which is the correct answer would be an option (C).
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The graph is given in the question.
The value, in dollars, of an antique, has increased exponentially over x years as shown in the given graph.
We have to determine the domain and range of the function.
As per the given graph,
we can see that the values of the x-axis are all real numbers in the graph which means its domain is all real numbers and the value of the y-axis begins at 1000 and continuously increases, therefore this means the range of the function is y ≥ 1,000.
Thus, Domain: all real numbers and Range: y ≥ 1,000.
Hence, the correct answer would be an option (C).
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ3
Helpppppppp due todayyyy
How to covert this y=(x-4)(x-12) into standard form
Answer:
x^2-16x+48
Step-by-step explanation:
Use foil,
x^2-12x-4x+48
x^2-16x+48
Any help please? (pre-algebra) Please provide an explanation, if not it’s fine but one would be appreciated.
Answer:
Option C
Step-by-step explanation:
Height of the rocket is modeled by,
h(t) = -16t² + 125t + 24
Height of the rocket in t = 0.1 seconds
h(0.1) = -16(0.1)² + 125(0.1) + 24
= -0.16 + 12.5 + 24
= 36.34 feet
At t = 5 seconds,
h(0.5) = -16(5)² + 125(5) + 24
= -400 + 625 + 24
= 249 feet
At t = 5.6 seconds,
h(5.6) = -16(5.6)²+ 125(5.6) + 24
= -501.76 + 700 + 24
= 222.24 feet
At t = 7.8 seconds,
h(7.8) = -16(7.8)² + 125(7.8) + 24
= -973.44 + 975 + 24
= 25.56 feet
Therefore, change in height is maximum at t = 5.6 seconds
Option C will be the answer.
A coach of a basketball team orders hats for the player on his team .Each hat cost $9.95.The shipping charge for the entire order is $5.00.There is no tac in this order /The total cost of the coachs order is less then $125.00.Which ineqo can be used to determine the greatest number of hats ,h,the coach orders?
Answer:
the answer is 9.95h+ 5 < 125
Step-by-step explanation:
someone please help me
Answer:
what do you need?
Step-by-step explanation:
is there like a photo or something?
Out of 50 fitness buffs, 25 like bicycling, 35 like jogging, and 15 like bicycling and
jogging
a. What is the probability that a single fitness buff selected at random likes either
jogging, bicycling, or both?
Answer:
50/50
Step-by-step explanation:
if you create a venn diagram you would have 25-10 or 15 like bicycling only, 35-15 or 20 like jogging only, and 15 like both sports
Can someone tell me what the answer is for x/-9≥3 as a simplified answer
Solve for x in the equation 2 x squared minus 5 x + 1 = 3.
Answer:
x=-0.35 or x=2.85
Step-by-step explanation:
2x^2-5x+1=3
2x^2-5x-2=0
use quadratic formula
x=(5±√41)/4
decimals = x=-0.35 or x=2.85
Answer:
option D
Step-by-step explanation:
I took the test
The sum of 3 consecutive integers is 30.
What is the third number in this sequence?
Answer:
11
Step-by-step explanation:
the 3 numbers are 9, 10, 11
Answer:
Third number = 11
Step-by-step explanation:
Let 3 consecutive numbers be x ,x +1 , x +2
x +x+1 + x+ 2 = 30
x +x +x + 1 + 2 = 30 {Combine like terms}
3x + 3 = 30 {Subtract 3 from both sides}
3x = 30 - 3
3x = 27 {Divide both sides by 3}
x = 27/3
x = 9
Third number =x + 2 = 9 + 2 = 11
solve the system of equations by adding. check your answer.
2x+2y=2
3x-2y= 43
the solution of the system is ( , ).?
Answer:
The solution of the system is (9,-8)
Step-by-step explanation:
2x+2y=2
3x-2y= 43
5x = 45
x = 9
2(9) + 2y = 2
18 + 2y = 2
2y = -16
y = -8
Can two obtuse angles be supplementary? Explain why or why not
Answer:
no
Step-by-step explanation:
No, two obtuse angles cannot form a supplementary angle. By the definition of obtuse angles, the angles that measure greater than 90° are obtuse. If you add two obtuse angles, the sum will be greater than 180°. It will not satisfy the property of the supplementary angles when we add obtuse angles.
Answer: the answer is No
Step-by-step explanation: the answer is no because, two obtuse angles cannot form a supplementary angle. By the definition of obtuse angles, the angles that measure greater than 90° are obtuse. If you add two obtuse angles, the sum will be greater than 180°. It will not satisfy the property of the supplementary angles when we add obtuse angles.
Hence, write as single
frachon in its lowest terms.
2/y-1 - 4/y^2-1
Answer:
[tex]\frac{2}{y+1}[/tex]
Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
= [tex]\frac{2(y+1)}{(y-1)(y+1)}[/tex] - [tex]\frac{4}{(y-1)(y+1)}[/tex] ← subtract numerators leaving the common denominator
= [tex]\frac{2y+2-4}{(y-1)(y+1)}[/tex]
= [tex]\frac{2y-2}{(y-1)(y+1)}[/tex]
= [tex]\frac{2(y-1)}{(y-1)(y+1)}[/tex] ← cancel common factor (y - 1) on numerator/denominator
= [tex]\frac{2}{y+1}[/tex]
Complete the statement. Round to the nearest hundredth if necessary.
7 lb = oz
Answer:112
Step-by-step explanation:
Answer:
I dont know sorry
find the value of x
please help
Answer:
Here we can see that two lines are intersecting so that the angles formed will be vertically opposite angles,
Thus, the value of both angles will be equal
i.e., x+3 = 84
⇒ x = 84 - 3
⇒ x = 81
Thus the value of x is 81
Write an equation of a linear function with slope −2 that passes through the point (4,−5).
Answer:
y=-2x+3
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-2(x-4)
y+5=-2x+8
y=-2x+8-5
y=-2x+3