Answer:19.25
304.5
10000
Step-by-step explanation:
8 avocados cost $16.what is the cost of the one avocado
Answer:
one avocado cost 2 dollars
Step-by-step explanation:
16 divided by 8 is 2 so therefor one cost $2
Divide 16 by 8.
16 ÷ 8 = 2.
So, one avocado costs $2.
3. A model rocket is launched from the ground with an initial velocity of 352 ft/sec.
e. How long will it take the rocket to reach its maximum height? Show all work in the space provided.
f. Assume the model rocket’s parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to Earth from the time it was launched? Show all work in the space provided.
Answer:
e. It will take 11 seconds to reach the maximum height of 1,936 feet.
f. It will take 22 seconds to return to the earth.
Step-by-step explanation:
Given:
Initial velocity [tex]v_0[/tex] = 352 ft/sec
Solving for question e.
To find the time required to reach the maximum height we will use the formula,
[tex]h(t) = -16t^2+v_0t+h_0[/tex],
where [tex]v_0[/tex] is the starting velocity
[tex]h_0[/tex] is the initial height.
Using the velocity and starting height from our problem we have,
[tex]h(t) = -16t^2+352t+0[/tex],
The path of this rocket will be a downward facing parabola, so there will be a maximum.
This maximum will be at the vertex of the graph.
To find the vertex we start out with [tex]x= \frac{-b}{2a}[/tex] which in our case is,
[tex]x=\frac{-352}{2(-16)}=\frac{-352}{-32}= 11[/tex]
So, It will take 11 seconds for the rocket to reach its maximum height.
We will find maximum height using the formula by substituting value of t we get,
[tex]h(11)=-16(11^2)+352(11)+0\\h(11) = -16 \times121+ 352 \times 11 = -1936+3872= 1936 \ ft[/tex]
Hence the maximum height will be [tex] 1936 \ ft[/tex]
Now Solving for question f.
To find the time required for rocket to reach earth.
We will set our formula to 0 to find the time.
[tex]0= -16t^2+352t+0\\-16t(t-22)=0[/tex]
Using the zero product property, we know that either -16t = 0 or t - 22 = 0. When -16t = 0 is at t = 0, when the rocket is launched. t - 22 = 0 gives us an answer of t = 22.
So the rocket reaches the Earth again at 22 seconds.
What are the coordinates for point G?
Answer:
G: (-2, 0.5)
Step-by-step explanation:
the "X" is -2 and then the "Y" is 0.5 because it is between 0 and 1, so we could the that Y-axis is being added by 0.5 each time.
Simplify the expression (9 + 2i)(9 − 2i).
(9 + 2i)(9 − 2i)=85
What is the square of imaganiry number i?The square of an imaginary number i is always -1. i.e. i²=-1
So according to asked question,
(9+2i)(9-2i)
using the algebric identity (a+b)(a-b)=a²-b²
where a=9 , b=2i
=(9)²-(2i)²
=9²-(4*i²)
=81-4i²
if we want to simplify the following expression
=81-(4(-1)) where i²=-1
=81+4
=85
Therefore (9 + 2i)(9 − 2i)=85
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what is 8x+4y=24 in slope intercept form.
Answer:
Slope: 2y- int: −6
Explanation:
We can easily find the slope and
y -intercept of this line by converting it to slope intercept form
y=mx + b, with slope m and a
y- intercept of b.
Let's subtract
8x
from both sides to get
−4y=−8x+24
Next, we divide all terms by
−4 to get y=2x−6
Now that our equation is in this form, we see that our slope is
2, and our y -intercept is −6.
-Hope this helps you
From the given slopes of the lines, identify whether the two lines are parallel, perpendicular, or neither.
Slope 1
2
Slope 2
1/2
Answer:
Neither
Step-by-step explanation:
Parallel lines have equal slopes.
Clearly the lines are not parallel.
The product of the slopes of perpendicular lines equals - 1
2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1
Thus the lines are not perpendicular.
Lines with Slope 1 = 2 and Slope 2 = 1/2 are neither parallel nor perpendicular.
To determine whether the two lines represented by Slope 1 = 2 and Slope 2 = 1/2 are parallel, perpendicular, or neither, we must consider the relationship between their slopes. Two lines are parallel if they have the same slope. In contrast, two lines are perpendicular if their slopes are negative reciprocals of each other (the product of their slopes is -1). In this case, since the slopes are different and their product (2 * 1/2) equals 1, not -1, the lines are neither parallel nor perpendicular.
Who ever answers will get brainlest and revive 50 points ( and if u can put answers to whole assessment that will be fine to ;)
First add the two fractions inside parenthesis:
5/7 - 6/14
Rewrite 5/7 to have a common denominator:
5/7 = 10/14
Now you have 10/14 - 6/14
10-6 = 4
The answer is 4/14, which can be reduced to 2/7
Answer:
(a)
Step-by-step explanation:
2/7 hope it helps
Find all values of x such that [tex]\sqrt{4x^2} -\sqrt{x^2}= 6[/tex]
Fred buys a binder for $4.50 and six reams of paper. Latasha buys an ink cartridge for $17.50 and four reams of paper. Both spend the same amount of money. What is the price of one ream of paper?
Price of one ream of paper is $6.5
Step-by-step explanation:
Let,
x be the total cost.
Cost of one ream of paper = y
Cost of binder = $4.50
Cost of ink cartridge = $17.50
According to given statement;
x = 4.50 + 6y Eqn 1
x = 17.50 + 4y Eqn 2
As both spent the same amount, therefore,
Eqn 1 = Eqn 2
[tex]4.50+6y=17.50+4y\\6y-4y=17.50-4.50\\2y=13\\[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{13}{2}\\y=6.5[/tex]
Price of one ream of paper is $6.5
Keywords: linear equation, division
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3. Which of the following are the roots of the quadratic function below?
Select all that apply.
f(x) = x2 - 144
12
2
Answer:
x = ± 12
Step-by-step explanation:
Given
f(x) = x² - 144
To find the roots set f(x) = 0, that is
x² - 144 = 0 ( add 144 to both sides )
x² = 144 ( take the square root of both sides )
x = ± [tex]\sqrt{144}[/tex] = ± 12
Final answer:
The roots of the given quadratic function f(x) = x² - 144 are x = 12 and x = -12.
Explanation:
The roots of a quadratic function can be found by setting the function equal to zero and solving for x. In the case of f(x) = x² - 144, this is equivalent to solving the equation x² - 144 = 0. This equation is a difference of squares and can be factored as (x - 12)(x + 12) = 0. The roots of the equation are the values of x that make the equation true, which in this case are x = 12 and x = -12.
A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices.
If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once.
Answer:
7n +5
Step-by-step explanation:
For each person, the bread required is ...
1 club + 2 regular sandwiches = 1(3 slices) + 2(2 slices) = 7 slices
Then for n people, 7n slices of bread are required.
In addition, there is one Dagwood sandwich requiring 5 slices of bread. The total is then ...
7n +5 . . . . slices of bread required to fill the order.
Answer:
15n+5
Step-by-step explanation:
To determine the number of slices of bread needed to fulfill the deli's order for the company picnic, we need to calculate the total number of sandwiches required and then multiply it by the number of slices each type of sandwich contains.
Let's break it down step by step:
1. For each person attending the picnic, the company wants three sandwiches: one club sandwich and two regular sandwiches. So, for $n$ people, we have $3n$ sandwiches in total.
2. A club sandwich has 3 slices of bread, and a regular sandwich has 2 slices. Therefore, the number of bread slices required for $3n$ sandwiches can be calculated as follows:
- For the $3n$ club sandwiches, we need $3 \times 3n$ slices of bread, which is $9n$ slices.
- For the $3n$ regular sandwiches, we need $2 \times 2 \times 3n$ slices of bread, which is $6n$ slices.
3. In addition to the club and regular sandwiches, the company wants just one Dagwood sandwich, which has 5 slices of bread.
4. To find the total number of slices of bread needed, we add up the slices needed for each type of sandwich:
- $9n$ slices for the club sandwiches
- $6n$ slices for the regular sandwiches
- 5 slices for the Dagwood sandwich
Therefore, the total number of slices of bread required is $9n + 6n + 5$, which can be simplified to $15n + 5$.
So, the fully simplified expression for the number of slices of bread needed by the deli to fulfill the order for the company picnic is $15n + 5$.
PLEASE HELP THIS IS EASY BUT IM JUST BAD AT MATH
Melissa bought 3 loaves of freshly baked bread at a specialty bread shop. She paid twice as much for the whole grain bread as for the French bread, and $2.50 more for the cinnamon raisin bread than for the whole grain bread. She spent a total of $11.25 for the 3 loaves. If f represents the price of a loaf of French bread, which equations describe this situation? Select two answers. ANSWERS BELOW YES E IS X'ED OUT BUT IM NOT SURE ABOUT IT!
Answer:
Its B
Step-by-step explanation:
Try and read throught it slowly and everytime you hit a variable go down the the answer and find where it is. That helped me a lot
Answer:
b
Step-by-step explanation:
the french bread is f. the whole grain is double the price of f so it would be f(2) OR 2f. the cinnamon rasin is f + 2.50.
Mary sent out invitations to her wedding last week. The invitations were heavy, so put more than just one stamp on each envelope. She use 255 stamps and mailed out 85 invitations. If she used an equal amount of stamps on each envelope, how many stamps did she place on each envelope?
Answer:
she used 3 on each
Step-by-step explanation:
255/85=3
Y= -(x - 6²) +6
How to right this equation in standard form equation of each parabola?
Answer:
-x^2+12x-30
Step-by-step explanation:
which three expressions are equavalent to the expression 3x-12-2(x+12)
PLEASE HELP!!!!!
The graph of g(x) is a translation of y = 3 square root of x
Which equation represents g(x)?
g(x) = 3 square root of x-4
g(x) = 3 square root of x+4
g(x) = 3 square root of x+1.5
g(x) = 3 square root of x-1.5
Answer:
Here we do not have the image, but i will try to give a explanation about this type of problem.
When we have the function f(x), the graph of the function h(x) = f(x - x0) means that the graph is displaced by x0 units to the right.
This is because the value of f(x = 0) is equivalent to h( x = x0), but the first one corresponds to the pair (0, f(0)) and the other corresponds to (x0, f(0))
This means that:
g(x) = 3√(x - 4) is displaced 4 units to the right.
g(x) = 3√(x + 4) = g(x) = 3√(x - (-4)) is diplaced 4 units to the left.
g(x) = 3√(x - 1.5) is displaced 1.5 units to the right.
g(x) = 3√(x + 1.5) is displaced 1.5 units to the left.
Find two consecutive odd integers such that 87 more than the lesser is six times the greater.
Final answer:
To find two consecutive odd integers, we can set up an equation based on the information given and solve for the variables. In this case, the lesser integer is 15 and the greater integer is 17.
Explanation:
To find two consecutive odd integers, let's represent the lesser integer as 'x' and the greater integer as 'x+2'. According to the given information, 87 more than the lesser integer is six times the greater integer. Mathematically, we can represent this as: x + 87 = 6(x+2).
To solve this equation, we can simplify and solve for 'x': x + 87 = 6x + 12. Simplifying further, we get 5x = 75, which leads to x = 15. Therefore, the lesser integer is 15 and the greater integer is 17.
Julie’s cell phone is 9 centimeters long. How many millimeters long is her cell phone?
Answer: 90 millimeters
Step-by-step explanation: To convert centimeters to millimeters, multiply centimeters by 10. 9x10=90.
a base ball pitcher won 80% of the games he pitched. if he pitched 35 ball games how many games did he win?
Answer:
He has won 28 games.
Step-by-step explanation:
Since he wins 80% of the games he pitched, we need to find 80% of 35.
80% as a decimal is 0.8.
[tex]0.8 * 35 = 2.8[/tex]
Now we need to convert the product to a whole number.
[tex]2.8 * 10= 28[/tex]
80% of 35 is 28.
The baseball player won 28 games he pitched in.
The baseball pitcher won 28 games out of the 35 games he pitched by calculating 80% of the total games pitched.
To calculate how many games a baseball pitcher won after knowing he won 80% of the 35 games he pitched, you can use a simple percentage calculation. First, convert 80% to a decimal by dividing 80 by 100, which equals 0.80. Then, multiply the total number of games (35) by 0.80 to find out the number of games won:
Number of games won = Total games pitched imes Win percentage
Number of games won = 35 imes 0.80 = 28
So, the pitcher won 28 games out of the 35 games he pitched.
Solve for x. Each figure is a trapezoid,
Answer:
x=5
Step-by-step explanation:
Since a Trapizode has 360 Degrees total and since the sides are equal we can say that
180=110+17x-15
70=17x-15
85=17x
x=5
The value of x in the trapezoid is 5
How to calculate the value of xThe sum of the sides on a trapezium is 180 ;
Using the expression :
17x - 15 + 110 = 18017x + 95 = 180
17x = 180 - 95
17x = 85
x = 85/17
x = 5
Therefore, the value of x is 5.
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You estimate that a tree is 45 ft tall. It is actually 58 ft tall.
The percent error in estimating the tree's height is 22%.
To find the percent error, follow these steps:
Calculate the absolute error: Absolute error = |actual value - estimated value|
In this case, absolute error = |58 ft - 45 ft| = 13 ft.
Calculate the percent error: Percent error = (absolute error / actual value) * 100%
Percent error = (13 ft / 58 ft) * 100% ≈ 22.41%
Round to the nearest percent: Round 22.41% to the nearest integer, resulting in 22%.
Therefore, the percent error in estimating the tree's height is 22%.
Complete question:
Find the percent error in each estimation. Round to the nearest percent.
You estimate that a tree is 45 ft tall. It is actually 58 ft tall.
solve the equation-27.5-m=21.1
Answer:
m=-48.6
Step-by-step explanation:
-27.5-m=21.1
m=-27.5-21.1
m=-48.6
Answer:
48.6 Is your correct answer :)
Step-by-step explanation:Please mark brainlies :)
The side lengths of the Australian flag are in a ratio of 1:2. If the flag is 5 feet long, what is it’s height?
height:length
1:2
x feet: 5 feet
You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.
The population of a town was 230000. For 12 years, the population grew by 4% per year, compounded continuously. What was the population at the end of the 12 year period according to the exponential growth function? Round your answer down to the nearest whole number, and do not include units.
Answer: 371697
Step-by-step explanation:
For continuously compounded values, we use the formula Pe^rt, or Pert. P is our principal/initial value, 230000. e is the constant e, r is our rate, 4% or .04, t is our time, 12. So, 230000*e^(.04*12)=371697.112504, rounding down, 371697.
What is 3+7? :p
ok thx
Answer:
10
Step-by-step explanation:
3 + 7 = 10
can you plz help me out on this one please having a haerd time with it
Answer:
the line should have an open circle on 75.7 and point to the right
Plzzzzzz help me plz plz plz plz plz
Answer: Dominant. The answer is dominant.
find the circumference of the circle with 1/4 Pi square centimetre square 2
Answer:
The circumference of the circle is 6 cm (approximately).
Step-by-step explanation:
Given:
Area of the circle = 1/4π²
Now, to get the circumference of the circle we need the radius.
So, finding the radius by putting the formula of area:
Area = [tex] \pi r^{2}[/tex]
[tex]\frac{1}{4} \pi ^{2}[/tex] = [tex] \pi r^{2}[/tex]
dividing π by both sides:
[tex]\frac{1}{4}\pi[/tex][tex]=r^{2}[/tex]
using square root on both the sides:
[tex]\frac{1}{2}\sqrt{\pi } = r[/tex]
So, the radius is [tex]\frac{1}{2}\sqrt{\pi } [/tex]
Now, putting the formula of circumference:
[tex]circumference=2\pi r[/tex]
=[tex]2\pi\frac{1}{2} \sqrt{\pi}[/tex]
=[tex]\pi \sqrt{\pi}[/tex]
putting the value of π =3.14
=[tex]3.14\times\sqrt{3.14}[/tex]
=[tex]3.14\times1.77[/tex]
=[tex]5.56[/tex]
Circumference = 5.56 cm
Therefore, the circumference of the circle is 6 cm (approximately).
Dan is comparing the cost of having printed and prepared by two companies
Company a charges $6 to prepare and $2.50 per copy to print
Company B charges $4 to make and $3 per print
How many copies will the total cost for preparing and printing by each company be the same
For 4 copies, the total cost for preparing and printing will be the same.
Step-by-step explanation:
Let,
p be the number of pages
Company A;
Charges of preparing = $6
Charges of per page print = $2.50
A(p)= 2.50p + 6 Eqn 1
Company B;
Charges of preparing = $4
Charges of per page print = $3
B(p)= 3p + 4 Eqn 2
For equaling the cost;
A(p) = B(p)
[tex]2.50p+6=3p+4\\2.50p-3p=4-6\\-0.50p=-2[/tex]
Dividing both sides by -0.50
[tex]\frac{-0.50p}{-0.50}=\frac{-2}{-0.50}\\p=4[/tex]
For 4 copies, the total cost for preparing and printing will be the same.
Keywords: Addition, division
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If you can, please explain the step by step process to finding the answer.
Answer:
20% peanuts are there in the mixture of nuts.
Step-by-step explanation:
Total weight of the mixture =25 lbs(10+15)
In the 25 lbs mixture of nuts, 68 % is peanuts, therefore finding the total weight of peanuts.
68 % of 25 lbs= 17 lbs.
There is a total 17 lbs of peanuts in the mixture .
15 lbs of peanuts was exclusively added, therefore the rest 2 lbs must have come from the mixture of nuts.
Therefore, there is a total of 2 lbs of peanuts in 10 lbs of mixture of nuts.
[tex]\frac{2}{10} *100[/tex] =20 %
20% peanuts are there in the mixture of nuts.