For the cube first we find the surface on one side which is 3x3=9ft^2
we have 6 sides 9x6=54ft^2
For the pyramid first we find the surface of the base which is 15x15=225in^2
next we find the surface of the sides which is 7*15/2=52.5in^2 52.5*4=210in^2
210+225=435in^2
Answer:
435 inches for pyramid 54ft for cube
Step-by-step explanation:
52.5 x 4=210
15 x 15 = 225
cube 3 x 3 ft equals 9 feet repeat for all 6 faces u get 54ft
The function f(x) = –2x2 + 32 represents the height of an object, f(x), after x seconds. How many seconds does it take for the object to hit the ground?
Given:
The height of an object, f(x), after x seconds is
[tex]f(x)=-2x^2+32[/tex]
To find:
The time taken be object to hit the ground.
Solution:
We have,
[tex]f(x)=-2x^2+32[/tex]
The object will hit the ground if the height is 0, i.e., f(x)=0.
[tex]0=-2x^2+32[/tex]
[tex]2x^2=32[/tex]
Divide both sides by 2.
[tex]x^2=\dfrac{32}{2}[/tex]
[tex]x^2=16[/tex]
Taking square root on both sides.
[tex]x=\pm 4[/tex]
Time cannot be negative. So, x=4.
Therefore, the object will hit the ground after 4 seconds.
A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $15 per acre. Seed for crop B costs $30 per acre. The farmer can spend at most $900 on seed. If crop B brings in a profit of $50 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit? acres of crop A acres of crop B
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of acre on which crop A is farmed and B represent the number of acre crop B is farmed.
Therefore:
Since there is a total of 40 acre farm, hence:
x + y = 40 (1)
The farmer can spend at most $900 on seed, crop A seed cost $15 and crop B seed cost $50, hence:
15x + 50y ≤ 900 (2)
Her profit is given as:
Profit = 50x + 110y
From the geogebra plot, the point that maximizes the profit is at (60, 0)
Therefore the maximum profit = 50(60) + 110(0) = $3000
Find the slope of a line that passes
through the following ordered pairs.
Reduce to lowest terms.
(-8, 6) (-9,-5)
Answer: m =11
Step-by-step explanation:Use the slope formula to find the slope
m
.
Select all the points that are on the graph of the line 2+4=20
(10, 0)
(1, 4)
(1, 2)
(0, 5)
(0, 10)
Answer:
A or B, it's either one of the two
Find the missing side, round to the nearest tenth.
15
х
30*
Answer:
45
Step-by-step explanation:
15*30 is 450 rounded down is 45
The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew £300 from her account. They now had the same amount in their accounts. How much did Terry initially have?
Answer:
Terry initially had £390
Step-by-step explanation:
The ratio of the original amount is 3:7
Let the original amount Terry has be t and the original amount Faye has be f
3/7 = t/f
or simply 3f = 7t ••••••(i)
Terry putting 220 means he now has
t + 220
Faye withdrew 300
He now has f-300
These values are equal
t + 220 = f-300
f = t+220+300
f = t + 520 ••••••(ii)
Put ii into i
3(t + 520) = 7t
3t + 1560 = 7t
7t-3t = 1560
4t = 1560
t = 1560/4
t = 390
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
It would be the 2nd one because 15+27=42 and that is less than 44 which should be more
Step-by-step explanation:
Find the slope (3,6)
(3,-3) need in 5 minutes
Answer: The slope is undefined.
Step-by-step explanation:
Using the formula given, find the difference in the y coordinates of the points and divide it by the x coordinates.
(3,6)
(3,-3)
y coordinates: 6 - (-3) = 9
x coordinates: 3- 3 = 0
9/0 = undefined.
Any number being divided by 0 is undefined because you can't divide something by anything.
Also remember that if a line is vertical through any of the x coordinate, the slope will always be undefined and the equation of line is x = 3
find slope of the line passes through (7, 3)and (9, 6
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
Hope this helps! :3
plz mark as brainliest!
(a+b)^3 what if it is was a plus
Answer:
Step-by-step explanation:
(a+b)³
a³+a²b+ab²+b³
Or
a³+b³+ab(a+b)
[tex](a + b)^{3} = {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]
Also do not get mixed between
[tex] {a}^{3} + {b}^{3} [/tex]
They both are not the same.
[tex](a + b)^{3} ≠ {a}^{3} + {b}^{3} [/tex]
MARKIGN PEOPLE AS BRIANLIST NEED HELP THANK YOU
Answer:
B. I think, im not in this level yet
Step-by-step explanation:
who was the president before obama
Write the percent as a fraction in lowest terms: 20%
Answer:
1/20
Step-by-step explanation:
1/20
Use repeated subtraction to find 68 ÷ 5
Answer:
13 with 3 remaining
or 13.6
Step-by-step explanation:
find the nth term, a1 = 24, d = 8, n = 25 loljejehwhwhshsh
Lillian has nickels, dimes, and quarters in her coin purse. She has 3 fewer dimes than quarters, and 3 times as many nickels as dimes. If she has a total of 33 coins, which of these is either the number of nickels, the number of dimes, or the number of quarters she has?
Answer:
18 nickels, 6 dimes, and 9 quarters
Step-by-step explanation:
nickels dimes and quarters
x y and z
x+y+z=33
y+3=z
3y=x
3y+y+y+3=33
5y+3=33
5y=30
y=6
z=9
x=18
Hope this helps plz hit the crown :D
Help ASAP, WILL MARK BRAINLIEST!!
please look at image before answering!
Answer:
To know what the ratio for the cos of theta, we actually have to see the adjacent and hypotenuse values. cos=adjacent/hypotenuse.
Step-by-step explanation:
what is the difference between 6204 and 5735
Answer:
469
Step-by-step explanation:
Difference = subtraction6,204 - 5,735 = 469I hope this helps!
the difference is 469
Find the 55th term of the arithmetic sequence 2, -18,-38
Answer:
-1078
Step-by-step explanation:
n=0 is the first term in the sequence.
Every next term is 20 less then the previous term.
In Mathematics you can write this as follows:
f(n) = f(0) - (n-1)*20
f(n) = f(0) - {(n-1)*20}
f(n) = f(0) - {(20n) -20}
Attention: Please note that -1 * -20 = +20
f(n) = f(0) - 20n + 20
Check yourself, find f(2):
f(0) = 2
f(2) = 2 - 20*2 + 20
f(2) = 2 - 40 + 20
f(2) = 2 - 20
f(2) = -18
Check yourself once more, find f(3):
f(0) = 2
f(3) = 2 - 20*3 + 20
f(3) = 2 - 60 + 20
f(3) = 2 - 40
f(3) = -38
Now just find f(55):
f(55) = 2
f(55) = 2 - 20*55 + 20
f(55) = 2 - 1100 + 20
f(55) = 2 - 1080
f(55) = -1078
Type the correct answer in the box.
A car accelerates from 4 meters/second to 16 meters/second in 4 seconds. The car's acceleration is
meters/second
Reset
Next
Answer:
3 meters/second
Step-by-step explanation:
acceleration = rate of change of speed (velocity)/change in time
= 16 - 4/4
= 12/4 = 3 m/s
graph y=4- 3/5x Help me out please
Answer: Y = (0,4)
X = 20/3
Step-by-step explanation:
Answer:
the points are at 0,4 and 6.6670 or 6,0
Step-by-step explanation:
Brainlist?
5x-7=3 whats the answer
Answer:
x=2
Step-by-step explanation:
5x-7=3
Add 7 to each side
5x - 7+7 = 3+7
5x = 10
Divide each side by 5
5x/5 = 10/5
x = 2
Answer:
x = 2
Step-by-step explanation:
5x-7=3
Move the 7 from the left side. So you'll add it to both sides
5x-7(+7)=3(+7)
Making your formula
5x=10
Then divide 5x on both sides
Since 5x divided by itself is one it's just x
10 divided by 5 is 2
So the answer is x = 2
Who spent more of their allowed on pizza? 2/5 and 0.25
Answer:
2/5, because 2/5 is bigger than 0.25.
Step-by-step explanation:
Answer:
2/5 spent more.
Step-by-step explanation:
Well, 2/5 converted to fraction is 0.40 since 2÷5=0.4.
And 0.40 is more than 0.25.
So 2/5 spent more of their allowance.
John took a quiz there are 25 questions, I got a 76% how many did John get right and how many did he get wrong
Answer:
6 wrong.
Step-by-step explanation:
25 questions 76% 25*0.76=19 so he got 6 wrong.
Hope this helps plz hit the crown :D
Answer:
he got 19 correct and 6 incorrect
Step-by-step explanation:
The average depth of the Artic Ocean is 3.953 x 10^5 feet while the average depth of the Atlantic Ocean is 1.2851 x 10^4 feet. Approximately how many times more deep is the Atlantic Ocean that the Artic Ocean?
Answer:
Hence the artic depth is approximately 31 times deeper than atlantic
Step-by-step explanation:
Given the following;
Average depth of the Artic Ocean = 3.953 x 10^5 feet
Average depth of the Atlantic Ocean = 1.2851 x 10^4 feet.
Taking the ratio of both depth;
Ratio = Depth of Artic/Depth of Atlantic
Ratio = 3.953 x 10^5/1.2851 x 10^4
Ratio = 3.076 * 10^1
Ratio = 30.76
Depth of artic/depth of atlantic = 30.76
Depth of artic = 30.76 * depth of atlantic
Hence the artic depth is approximately 31 times deeper than atlantic
Find the percent of change:
From 64 feet to 48 feet
Answer:16
Step-by-step explanation:
Using this tool you can find the percent Decrease for any value. So, we think you reached us looking for answers to questions like:
1) What is the percentage Decrease from 64 to 48? 2) What is the absolute Decrease from 64 to 48. Or may be: What is the percent change from 64 to 48?
See the solution to these problems just after below.
How to calculate percent change - Step by Step
Percent increase or decrease measures percent changes between two values. Use this calculator when comparing an old value to a new value.
The Percent Calculator (Change) uses this formula:
% change = New Value - Old Value|Old Value|× 100%
Where |Old Value| represents the absolute value of the reference (this is made in order to work well with both positive and negative values of Old Value and New Value. Note that percent change and relative change mean the same thing. It can be a percent increase or a percent decrease depending on the new and the old values. If the new value is greater than the old value, the result will be positive and we will have a increase. On the other hand, if the new value is smaller than old value, the result will be negative and we will have a we have a decrease. The old value, as a reference, may be: a theoretical, the actual, the correct, an accepted, an optimal, the starting, and so on. See more about percent percent change here.
Here are the solutions to the questions stated above:
1) What is the percentage decrease from 64 to 48?
Use the above formula to find the percent change. So, replacing the given values, we have
Percent change = 48 - 6464 x 100 = -25 % (decrease)
Where: 64 is the old value and 48 is the new value. In this case we have a % of decrease because the new value is smaller than the old value.
2) What is the absolute Decrease from 64 to 48?
This problem is not about percent or relative change, but about absolute change. Its solution is very simple:
Absolute change, or
change = new value - old value
= 48 - 64 = -16 (decrease)
Answer: -25%
Step-by-step explanation:A change from 64 to 48 represents a negative change (decrease) of -25%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent change = New - Old
|Old|
x 100%
Percent change = 48 - 64
|64|
x 100 = -16
64
x 100 = -25 % (decrease)
Where: 64 is the old value and 48 is the new value. In this case we have a negative change (decrease) of -25 percent because the new value is smaller than the old value.
What does the slope represent in this situation
Answer:The slope represents ur mom
Step-by-step explanation:
Find the largest degree of x that can be factored out of all terms
9x and 45
Step-by-step explanation:
x cannot be factored out of these two monomials because x is not present in both of them.
The largest degree of x that can be factored out of all terms 9x and 45 is 0
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
How can we rewrite a constant as a coefficient?Suppose there is a constant 'c'.
We can write it as:
[tex]c = c \times 1 = c \times x^0[/tex]
where 'x' is the variable in consideration. Here even when x = 0, we would assume that for all real numbers 'x', its power raised to 0 makes it evaluate to 1.
For this case, we can rewrite both the terms as:
[tex]9x = 9x\times 1 = 9x \times x^0[/tex][tex]45 = 45 \times 1 = 45 \times x^0[/tex]Thus, the maximum of x that can come out common out of these two terms is [tex]x^0[/tex] (its degree, or power, or exponent is 0)
Thus, the largest degree of x that can be factored out of all terms 9x and 45 is 0
Learn more about exponentiation here:
https://brainly.com/question/26938318
#SPJ2
Plz help me answer this
Answer:
(1, 7)
x = 1
y = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
-5x + 2y = 9
y = 7x
Step 2: Solve for x
Substitution
Substitute in y: -5x + 2(7x) = 9Multiply: -5x + 14x = 9Combine like terms: 9x = 9Isolate x: x = 1Step 3: Solve for y
Define original equation: y = 7xSubstitute in x: y = 7(1)Multiply: y = 7Answer: x = 1 and y = 7
Step-by-step explanation:
first you substitude y for 7x
-5x + 2(7x) = 9
then you distribute
-5x + 14x = 9
then you combine like terms
9x = 9
then you divide both sides by 9
x = 1
then you subsitute the x value in the other equations
y = 7(1)
meaning y = 7
What are the slope and the y-intercept of the line shown in the graph?
A y-intercept - 2 and slope = -3
B. y-intercept = 2 and slope = 3
C intercept = 3 and slope = 2
D. intercept = -3 and slope = 2
Answer:
B. y-intercept = 2 and slope = 3
Step-by-step explanation:
Answer:
y intercept is 2 and slope is - 3
Step-by-step explanation: