Answer:
1) answer: 90
STEPS: 1/2 * 12 * (6.7 + 8.3)
6*(6.7+8.3)
6*15
90
2) answer: 7.14
STEPS: 1/2 * 2.1 * (1.1 + 5.7)
1/2 * 2.1 * 6.8
2.1 * 3.4
7.14
3) answer: 15
STEPS: area of triangle = 1/2 * base * height
1/2 * 6 * 5
3*5
15
Which equation represents the graph below?
A. y=3x-2
B.y=-2x+3
C.y=3x-2
D.2x+3
Answer:
d
Step-by-step explanation:
Which ordered pair cannot be a solution of h(t)=-16^2+80t if h is the height of a ball above ground after t seconds?
Answer:
None of them can be a solution
Step-by-step explanation:
In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?
Answer:
72 dessert options available
Step-by-step explanation:
3*6*4=72
A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much would it cost to manufacture 6 paperweights?
Answer:
It would cost $232.32, this answer is rounded.
Step-by-step explanation:
The formula for the volume of a square pyramid is:
[tex]V=a^2\frac{h}{3}[/tex]
So its just:
[tex]8.8^2\frac{12.5}{3} = 322.67 cm^3[/tex]
Then you just multiply the volume by the cost per cubic centimetre:
[tex]322.67cm^3*$0.12=$38.704[/tex]
After just multiply the cost of one by how many you want, which is 6:
[tex]38/704*6=232.32[/tex]
The cost to manufacture 6 paper weight is $232.32
Volume of a square pyramid:v = 1 /3 b²hwhere
b = base
h = height
Therefore,
v = 1 / 3 × 8.8² × 12.5
v = 1 / 3 × 77.44 × 12.5
v = 968 / 3
v = 322.666666667 cm³
1 cm³ = $0.12
322.67 cm³ = ?
cost of a paperweight = 322.67 × 0.12 = $38.72
Therefore,
1 paper weight = $38.72
6 paper weight = ?
cross multiply
cost of 6 paper weight = 6 × 38.72
cost of 6 paper weight = $232.32
learn more on square pyramid here; https://brainly.com/question/16978043?referrer=searchResults
2. Find the surface area of the triangular pyramid. The base is an equilateral triangle.
Answer:
19.2
Step-by-step explanation:
you just need to add them then you will be just
a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation y=35795(0.83), where x represents the number of years since purchase and y represents the value (in dollars) of the car. How much will the car be worth five years after it is first purchased? How do you know? describe your calculation process.
We have been given that a new car, originally worth $35,795, depreciates at a rate of 17% per year. The value of the car can be represented by the equation [tex]y=35795(0.83)^x[/tex], where x represents the number of years since purchase and y represents the value (in dollars) of the car.
To find the value of car of after 5 years, we will substitute [tex]x=5[/tex] in our given equation as:
[tex]y=35795(0.83)^5[/tex]
[tex]y=35795\cdot (0.3939040643)[/tex]
[tex]y=14099.79598[/tex]
Upon rounding to nearest tenth, we will get:
[tex]y\approx 14099.8[/tex]
Therefore, the car will be worth $14,099.8 after 5 years it is first purchased.
Since $14,099.8 is less than original value of car, therefore, we know hat value of car is depreciating and $14,099.8 is correct answer.
We also know that an exponential decay function is in form [tex]y=a(1-r)^x[/tex], where,
y = Final value after t years,
a = Initial value,
r = Decay rate in decimal form,
x= Time.
[tex]17\%=\frac{17}{100}=0.17[/tex]
[tex]y=35795(1-0.17)^x[/tex]
[tex]y=35795(0.83)^x[/tex]
select the function that represents a parabola with vertex at (2,-1) and a point (5,8) on its curve
a.) f(x)=2(x+2)^2-1
b.) f(x)=(x+2)^2-1
c.) f(x)=(x-2)^2-1
d.) f(x)=2(x-2)^2-1
Answer:
Correct answer is c.) [tex]f(x)=(x-2)^2-1[/tex]
Step-by-step explanation:
The vertex form of a parabola can be written as following:
[tex]y = a(x-h)^2 + k ....... (1)[/tex]
[tex](h,k)[/tex] is the co-ordinate of vertex.
[tex]a[/tex] is a constant whose positive or negative value decides where the parabola opens (up or down).
[tex](x,y)[/tex] are the points on parabola.
[tex]y[/tex] and [tex]f(x)[/tex] are interchangeable terms. We can use any of them.
For convenience with the co-ordinates in [tex]xy-[/tex]plane, [tex]y[/tex] is used here.
We are given that vertex is at (2,-1) and there is a point (5,8) on the curve.
i.e. h = 2 and k = -1,
x = 5 and y = 8
Putting the four values in equation (1):
[tex]8 = a(5-2)^2 + (-1)\\\Rightarrow 8 = a(9) -1\\\Rightarrow 9 = 9a \\\Rightarrow a = 1[/tex]
Putting values of [tex]a[/tex] and [tex](h,k)[/tex] in equation (1) to find the equation of parabola:
[tex]y=(x-2)^2-1[/tex]
As told earlier as well, [tex]y[/tex] and [tex]f(x)[/tex] are interchangeable terms.
So, correct equation of parabola is option C) [tex]f(x)=(x-2)^2-1[/tex]
What is the kinetic energy of a 54 kg mass traveling at 15 meters per second?
kg * m/8
405
kg * m^2/8^2
6075
kg * m/8
420
kg * m^2/8^2
12,150
Given that an object with a mass of 54kg travels at 15m/s^2, determine the kinetic energy of the object.
KE = 0.5 x mv^2
M (mass) = 54kg
V (velocity) = 15m/s^2
Then, we plug the values in.
KE = 0.5 x 54(15^2)
Now, we solve.
KE = 0.5 x 54(225)
KE = 0.5 x 12150
KE = 6075
Now, that we have solved the formula, we can see that the kinetic energy of the object is 6,075J.
Thus, the kinetic energy of the object is 6,075J.
PLZ HELP 40 MINUTES LEFT
Which equation can be used to represent the statement?
The sum of one-sixth of a number and negative two is equal to negative two-thirds.
One-sixth + n = negative 2 + two-thirds
One-sixth + n = negative 2 + (negative two-thirds)
One-sixth n + 2 = negative two-thirds
One-sixth n minus 2 = negative two-thirds
Answer:
It's the last one: One-sixth n minus 2 = negative two-thirds
Step-by-step explanation:
Hope this helps!!
6x = -54
Help Please
Answer:
x=-9
Step-by-step explanation:
6x=-54
Divide both sides by 6.
-54/6 = -9
x=-9
Look at the attached picture
Hope it will help you
Write the given.
If one angle of a triangle is 90°, then the other two add to 90°.
Answer:
The other two numbers depend on what type of triangle it is.
Step-by-step explanation:
if if it is isosceles and may vary however if it is scalene the measures of the other two angles can vary greatly and it will not likely be 45 degrees to 45 degrees.
The sum of a number and two less than twice the number is twenty two.
(as an equation)
Answer:
2-(2*N)=22
Step-by-step explanation:
Look at the graph of the functions. Given the original function, f(x)=x to the square root,what is a possible equation for the translated function, g(x)?
Answer:
c
Step-by-step explanation:
Answer:
The answer is c look at the picture below
Step-by-step explanation:
Emmy used one-centimeter cubes to build a larger cube. The edges of Emmy's cube are 3 centimeters long. Tim has a cube-shaped box with edges that are 3 times as long as the edges of Emmy's cube. How much larger in volume is Tim's box than Emmy's cube?
Answer:
Tim's box volume is 27 times greater than Emmy's.
Step-by-step explanation:
The volume of a cube is given by the following expression:
volume = l³
Since Emmy's cube have a 3 centimeters long edge, then it's volume is:
volume1 = 3³ = 27 cm³
On the other hand Tim's cube has an edge that is 3 times as long as Emmy's, so it's 9 centimeters long. Therefore it's volume is:
volume2 = 9³ = 729 cm³
The relation between the volume is given by:
ratio = volume2/volume1 = 729/27 = 27
Tim's box volume is 27 times greater than Emmy's.
find the base and height!!! first right answer gets 10 points
Answer: What are you doing?
Step-by-step explanation:
At the top, it clearly says to do the quiz without help.
Need help with this pls!!
(Show work pls!!)
Answer:
Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars.
Step-by-step explanation:
Let's set Mark's salary as x.
Steven=x+3
Last Friday, Steven earned 5(x+3) dollars, while Mark earned 6x dollars.
We can write the sum of these salaries as:
5(x+3)+6x=147
5x+15+6x=147
11x+15=147
11x=132
x=12
Then, we can substitute x with 12.
Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars.
Answer: Mark earns 12 dollars an hour, and Steven earns 15 dollars.
Mark earned 6*12=72 dollars, and Steven earned 15*5=75 dollars
Step-by-step explanation:
ANSWER QUICKLY. I GIVE BRAINLIEST AND A FOLLOW.
Answer:
(4,-3)
Step-by-step explanation:
This is where the 2 lines meet
Answer:
- 1/2
Step-by-step explanation:
edit (sorry i was wrong)
Can someone please explain this question?
Unimodal means one hump; symmetric means there's a central axis of symmetry, here at x=4.
Answer: B. Unimodal symmetric
What information relevant to calculating are do we have available for this triangle?
Answer:
Well, since we are not given any graphics or additional information, I'll resort to listing four triangle area formulas:
1) triangle area = (1/2) * base * height
2) Heron's Formula ("s" = semiperimeter, which is the sum of all 3 sides divided by two)
triangle area = square root [s * (s - side a) * (s - side b) * (s - side c)]
3) For 2 sides and the INCLUDED Angle:
Area = side 1 * sine (angle A) * side 2
Step-by-step explanation:
Find the sum of the geometric series
1+ 0.8 + 0.8^2 + 0.8^3 + ... + 0.8^19
Work Shown:
a = first term = 1
r = 0.8 = common ratio
We know the common ratio is 0.8 because we multiply this common ratio by each term to get the next term. The easiest to spot this is going from term1 to term2. Put another way, term2/term1 = 0.8/1 = 0.8 is our common ratio.
The general form of the nth term of a geometric sequence is [tex]a(r)^{n-1}[/tex] and because the last term has an exponent of 19, this means n-1 = 19 solves to n = 20. Therefore, we are summing exactly n = 20 terms here.
Use the formula below to take a shortcut rather than painstakingly find all 20 terms and then summing them.
[tex]S = \frac{a*(1-r^n)}{1-r}\\\\S = \frac{1*(1-0.8^20)}{1-0.8}\\\\S \approx \frac{1*(1-0.01152921504607)}{1-0.8}\\\\S \approx \frac{1*(0.98847078495393)}{0.2}\\\\S \approx \frac{0.98847078495393}{0.2}\\\\S \approx 4.94235392476964\\\\[/tex]
This value is approximate.
------------
To check your answer, you could type the following into your calculator
1+0.8+0.8^2+0.8^3+0.8^4+0.8^5+0.8^6+0.8^7+0.8^8+0.8^9+0.8^10+0.8^11+0.8^12+0.8^13+0.8^14+0.8^15+0.8^16+0.8^17+0.8^18+0.8^19
Though as you can see, this is very tedious to type in. This is why the formula in the previous section above is preferred.
What is the measure of angle c
A)35
B)60
C)110
D)120
Answer: I believe that answer is D.
Step-by-step explanation:
-The angle below it is also 120 degrees.
-It definitely can’t be 35 or 60 degrees because the angle is bigger than a right angle.
Right angle-is 90 degrees exactly
Hope this helps!
Answer:
yeah its most definitly D
Step-by-step explanation:
...
Lydia writes the equation below with a missing value.
y=5x-[]
She puts a value in the box and says that the equation represent a direct variation. Which explains whether the equation could represent a direct variation?
A.The equation has a minus sign, so it cannot represent a direct variation.
B.If she puts 5 in the box, she would have a direct variation.
C.If she puts 0 in the box, she would have a direct variation.
D.The equation is not of the form y = kx, so it cannot represent a direct variation.
Answer:
If she puts 0 in the box she would have a direct variation.
Step-by-step explanation:
Given : Lydia writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.We have to choose the correct option from the given options that explain that the equation could represent a direct variation.When two variables are such that one is a constant multiple of other, we said they are in Direct variation.
That is in form of y = ax , here y and x are in direct variation.Consider the given equation y = 5x - __
For the equation to be in direct variation the value of missing term has to be 0.
then equation becomes,y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Option (a) is correct.
If one US dollar is worth 0.79 euros (the currency used by European countries), how many euros would $18 in
US dollars be worth?
1. 18.79 euros
2. 14.22 euros
3. 14.12 euros
4. 7.11 euros
pls help me out pls
Answer:
€14.22
Step-by-step explanation:
0.79 × 18 = 14.22
Answer:
Choice 2
Step-by-step explanation:
1 dollar: 0.79 euros=
18 dollars:x euros
x=18*0.79 or 14.22 euros. Hope this helps!
Given:
m < ark VC = m < ark VE
Prove: QV·KV = LV·PV
Answer:
this is a no solution
Step-by-step explanation:
Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.
(20 points) This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.
15x + 30 ≥ 360
5x + 8y ≤ 100
Answer:
4,10
Step-by-step explanation:
We want where they both overlap
X must be greater than 0
We cannot have parts of figures so we must have whole numbers
(6,9) is too large
Answer:
A
Step-by-step explanation:
The solution set is the purple region. The intersection lies at (4,10)
The region is towards left of x=4 so it can't be D
x and y have to be non-negatve integers. So it can't be B or C
A while ago, Ruben bought shares of stock in a high-tech firm. At that time, the selling price was $100 per share. According to today's newspaper, a share is currently worth 23% more. What is the current value of one share?
Answer:
123
Step-by-step explanation:
to find the current value of one share just do this
23/100*100=23 so just add 23 on 100 and you will get 123 which is the current value of one share.
HELP QUICK I DON'T WANNA FAIL PLZZ HELP ME!!!
Answer:
A. X
The dots follow the red line better than the rest.
Answer: it is x
Step-by-step explanation: The dots are closest to the line instead of being more scattered like the other answers, therefore the answer is x.
100 POINTS!!!!!! MAY SOMEONE PLEASE HELP ME!!!! I NEED IT BAD!
THANK YOU IN ADVANCE!
Answer:3 7/8
Step-by-step explanation:A. I think you just want the answer not the explanation. :)
Answer:
m
Step-by-step explanation:
can somebody explain this to me
Answer:
80
Step-by-step explanation:
if 1=40
2 = x
1*x=2*40
x=80
Answer:
80 ounces
Step-by-step explanation:
Let x ounces of gas is needed for 3 ounces of oil.
[tex] \therefore \: \frac{40}{1} = \frac{x}{2} \\ \therefore \: x = 40 \times 2 \\ \huge \purple{ \boxed{\therefore \: x = 80 \: ounces}} \: [/tex]
A car used 1/64 of a gallon of gas to drive 1/4 of a mile.At this rate how many miles can the car travel using 1 gallon?
Answer:
I'm pretty sure it's 14 not sure but positive