Answer:
[tex]\dfrac{2s^3+136}{s}[/tex]
Step-by-step explanation:
Let the side length of the square base =s feet
Let the height of the box = h
Given that the volume of the box = [tex]34$ ft^3[/tex]
Volume of the box =[tex]s^2h[/tex]
Then:
[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]
Surface Area of a Rectangular Prism =2(lb+bh+lh)
Since we have a square base, l=b=s feet
Therefore:
Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]
[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]
2(2.5x+8)=26 help me please!!!
Answer:
x=12/5
Step-by-step explanation:
2(2.5x+8)=26
5x+14=26
5x=12
x=12/5
Answer:
The value of [tex]x[/tex]:
[tex]x = 2[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]2(2.5x + 8) = 26[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]2(2.5x + 8) = 26[/tex]
[tex]2.5x + 8 = \frac{26}{2}[/tex]
-Divide [tex]26[/tex] by [tex]2[/tex]:
[tex]2.5x + 8 = \frac{26}{2}[/tex]
[tex]2.5x + 8 = 13[/tex]
-Subtract both sides by [tex]8[/tex]:
[tex]2.5x + 8 - 8 = 13 - 8[/tex]
[tex]2.5x = 5[/tex]
-Divide both sides by [tex]2.5[/tex]:
[tex]\frac{2.5x}{2.5} = \frac{5}{2.5}[/tex]
Expand to the form [tex]\frac{5}{2.5} = 2[/tex] by multiplying both the numerator and the denominator by [tex]10[/tex]:
[tex]\frac{5}{2.5} = 2[/tex]
[tex]x = \frac{50}{25}[/tex]
Then, you divide [tex]50[/tex] by [tex]25[/tex]:
[tex]x = \frac{50}{25}[/tex]
[tex]x = 2[/tex]
So, the final answer would be [tex]x = 2[/tex] .
Find n so that (4/5)^3 × (4/5)^-6 = (4/5)^2n-1
Answer:
n= 4725 /1024
Step-by-step explanation:
Which statement is true about quadrilateral QRST? Side QR has a length of 5 units. Side RS has a length of units. Side ST has a length of 6 units. Side TQ has a length of units.
Answer: side TQ 17 units
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
Need your help Plz help me
Answer:
c
Step-by-step explanation:
Answer:
C. -0.6
Step-by-step explanation:
-2.1-x=-1.5
-x=0.6
x=-0.6
The slope-intercept form of a line is y = mx + b. Using that equation for a line of best fit, you can substitute an input value to find the output for that point. With this method it is possible to make predictions for data points that may not be shown on a graph.
Answer:
Yes it is
Step-by-step explanation:
If you us a formula you can predict data points that are not on a graph
The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount?
Answer:
68.245
Step-by-step explanation:
total cost = $81.05
10% discount is 10/100× 81.05=8.105
substract 8.105 from 81.05= 72.945
with a 6.5% sales tax
6.5/100× 72.954 = 4.7
72.945-4.7= 68.245 the actual price
if am wrong let me know
Help!!! Which of the following best describes abc?
Answer:
Inscribed Angle (A)
Step-by-step explanation:
in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
The population of a country has been increasing for several decades. In 1990, the population was about 233 million people. In 2014, the population was about 291 million people. Determine the percent increase in the country's population during this time period.
Answer:
the answer for this question is increase 24.89%
Step-by-step explanation:
100%= 233 million
? = 291 million
100%/(233×10^6) : x/(291×10^6)
x=[100%×(291×10^6)]/(233×10^6)
x=124.8927039
x=124.89
124.89%-100%=24.89%
Jade has $451.89 in her checking account. After 3 checks, each for the same amount, are deducted from her account, she has $358.92 left in her account.
Assume she makes no other withdrawals or deposits. Which equations represent c, the amount of one check, in dollars? Select three options.
451.89 minus c = 358.92
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
c = 3 (451.89 minus 358.92)
for ed, it should be:
B
C
D
if not, then idk what happened
The equations that represents the amount of one check are:
451.89 minus 3 c = 358.92
358.92 + 3 c = 451.89
358.92 + c + c + c = 451.89
What equation represent the amount of one check?The equation that represents the amount of one check is:
Total amount in the account - total value of 3 checks = amount left
Total amount in the account - amount left = total value of 3 checks
Value of one check = (total amount in the account - amount left) / 3
$451.89 - 3c = $358.93
$451.89 - $358.93 = 3c
($451.89 - $358.93) / 3
To learn more about mathematical equations, please check: https://brainly.com/question/26427570
Evaluate cos2θ for cosθ = .
Double angle identity:
[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]
If you know [tex]\cos\theta[/tex], just plug it in.
Solve the inequality
t/4>7
Answer:
t>28
hope this helps!
Step-by-step explanation:
t÷4 > 7
t÷4 (×4) > 7 (×4)
t > 28
Work out the value of x
Ps I would appreciate if you showed me how to work it out
Thank you
Answer:
x = 67.5°
Step-by-step explanation:
A circle's angles add up to 360°
So,
x+3x+90 = 360
4x+90 = 360
4x = 360-90
4x = 270
Dividing both sides by 4
x = 67.5°
Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are £1 49 each The loose sweets are £0.89 for 100g By calculating the price per gram, determine which is better value. Show your working
To find the better deal divide the price by the weight of each and compare:
1.49 / 120 = 0.012 per gram
0.89/ 100 = 0.0089 per gram
Buying loose is the better deal because the price per gram is smaller
Do the table and graph represent the same function?
Rob paid $50.15 for two pairs of jeans, which include a 15% discount. What was the price of one pair of jeans before the discount was added?
Answer:
$29.50
Step-by-step explanation:
The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.
100% - 15% = 85%
Divide the price Rob paid by the percentage the price is of the total.
85% = 0.85
50.15/0.85 = 59
Now, divide the total price by 2 so that you can find the price of one pair of jeans.
59/2 = 29.50
The price of one pair of jeans is $29.50
HOW PLEASE HELP SORRYYYYY FOR ASKING
Answer:
-7 , -5
Step-by-step explanation:
use the AC method, find two numbers that multiply to 35 and add to 12. those numbers are 7 and 5. then u have (m+7)(m+5), so m = -7,-5
How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?
Answer:
Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.
Step-by-step explanation:
How many solutions exist for the system of equations 3x+y=18 3x+y=16
Answer:
no solutions
Step-by-step explanation:
Subtract the two equations
3x+y=18
-(3x+y=16)
--------------------
0 + 0 = -2
0 does not equal negative 2
This is never true so there are no solutions
Answer:
The number of solutions is 0.
Step-by-step explanation:
The x and y terms are equal. The constants are different. The lines are parallel. No solution.
Help please! if you answer correctly i will give brainliest
Answer:
lesser x =1
greater x = 3
Step-by-step explanation:
x^2 -4x+3 =0
Factor
What two numbers multiply to -3 and add to -4
-3*-1 = 3
-1+-1 = -4
(x-3)(x-1) =0
Using the zero product property
x-3 =0 x-1 =0
x=3 x=1
Answer:
lesser x = 1
greater x = 3
Step-by-step explanation:
x^2 - 3x - x + 3 = 0
x(x - 3) - 1(x - 3) = 0
= (x - 3)(x - 1) =0
= x = 3, 1
Hope this helps!
Carol rolled a dice 150 times she rolled a six 29 times use carol's data to estimate the probability of rolling a six with this dice give your answer as a fraction
Answer:
29/150
Step-by-step explanation:
Probability is the number of times a certain value is obtained out of the total number of attempts.
If Carol got 6 29 times out of 150, then the probability of getting a 6 = 29/150.
This can be written as a percent or decimal too = 0.193 = 19.3%
Hope this helps.
Good Luck
Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.
Answer:
The y value achieves its minimum at x = 4/3Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7
[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]
[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]
The y value achieves its minimum at x = 4/3
What is the domain of y=4[x+2]
Answer:
[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
help.....................
Answer:
Translation
Step-by-step explanation:
In a translation, every point of the object must be moved in the same direction and for the same distance. PLS MARK MY ANSWER AS THE BRAINLIEST!! PLS
Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?
Answer:
a(n)=1800+(n-1)200
Step-by-step explanation
The usual formual is an=a1+d(n−1)
a1=The first number is the number you would start on
so 1800=a1
n=the number of times you would do it
you would usually put n-1 because the first number is already been put though the formula
d=the amount of change between each number
so 200=d
A(n)= a of n, like f(n) means f of n
so that why it is a(n)=1800+(n-1)200
i also got it right on A.pex
how are trapizods and recangles the same
Answer:
Yes, but no
Step-by-step explanation:
So the trapezoid is a quadrilateral because it has four sides. ... A rectangle can also be termed as trapezoid as its one pair of opposite is parallel and equal. On the other hand a trapezoid may not have all its internal four angles as right angles but a rectangle must have all its angles as right angles.
Hope this helps you
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:
[tex]x_{vertex}= -b/2a[/tex]
Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:
[tex]f(-13/4)= -9/8[/tex]
Then your expression for this quadratic should be:
[tex]f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})[/tex]
Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one
I WILL MARK AS BRAINLIST
Answer:
18 square meters
Step-by-step explanation:
Answer:
7.5 square meterssolution,
The given figure if a Trapezium whose parallel sides are of 3 m and 2 m respectively.
Distance between the parallels sides
i.e. height is 3 m
Now,
[tex]area = \frac{1}{2} \times sum \: of \: parallel \: sides \times height \\ = \frac{1}{2} \times (3 + 2) \times 3 \\ = \frac{1}{2} \times 5 \times 3 \\ = \frac{15}{2} \\ = 7.5 \: {m}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
Connie started with___
in her saving account
Fill in the blank
Answer:
Connie started with $25 in her savings account.
Step-by-step explanation:
The y-intercept is the value of the function at time zero.
At x = 0, which is week zero, when Connie opened the account, the y value is 25. That means she opened the account with $25.
Answer: $25
Answer:
25
Step-by-step explanation:
Which expression is equivalent to (fg)(5)?
A: f(5) x g(5)
B: f(5) + g(5)
C: 5f(5)
D: 5g(5)
Answer:
f(5).g(5)
Step-by-step explanation:
(fg)=(f.g)
this is how it starts: (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre
Answer:
Slope of this line is given by:
Aaron’s rate for mowing lawns is 0.5 acres per hour
Step-by-step explanation:
It is given that time is tracked by Aaron related to x coordinate.
and the area of land mowed in acres is related to y coordinate.
Two of his points are given as:
(3, 1.5) and (5,2.5)
We know that the coordinates are represented in the form of (x,y)
i.e. first coordinate represents x coordinate and
second coordinate represents y coordinate.
So, it can be observed that:
[tex]x_1=3, y_1=1.5\\x_2=5, y_2=2.5[/tex]
Change in x coordinate = [tex]x_2-x_1=5-3 = 2[/tex]
i.e. total time taken is 2 hours.
Change in y coordinate = [tex]y_2-y_1=2.5-1.5 = 1[/tex]
i.e. total land mowed taken is 1 acre.
In other words, it takes 2 hours for Aaron to mow 1 acre of land.
So, "option 1) It takes Aaron about 1 hour to mow 2 acres." is incorrect.
Rate of mowing lawn is the land mowed by Aaron in 1 hour.
Land mowed in 2 hours = 1 acre
Land mowed in 1 hours = [tex]\frac{1}{2}[/tex] acre i.e. 0.5 acre
Also, slope of a line is given as:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here [tex]y_2 - y_1 = 1[/tex]
[tex]x_2 - x_1 = 2[/tex]
As per formula:
[tex]m = \dfrac{1}{2} = 0.5[/tex]
So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.
Using the slope concept, it is found that the correct option is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
---------------------------
A linear function has the following format:
[tex]y = mx + b[/tex]
The slope is m, which is the rate of change, that is, by how much the output y changes when the input changes by 1.---------------------------
In this question, the input is the time in hours and the output is the area of land mowed, thus the slope represented the rate of area mowed per hour.Two points, (3, 1.5) and (5, 2.5). The slope is change in y divided by the change in x, thus:[tex]m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5[/tex]
Thus, the correct option is:
Aaron’s rate for mowing lawns is 0.5 acres per hour.
A similar problem is given at https://brainly.com/question/17460142