A box without a lid is constructed from a 26 inch by 26 inch piece of cardboard by cutting x x in. squares from each corner and folding up the sides. a) Determine the volume of the box as a function of the variable x x .
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plz help due tomorrow.
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2(x+6) + 2(x+2) = 2(x+4) + 2(2x-2)
First, divide everything by 2
x+6+x+2 = x+4+2x-2
Then, combine like terms
2x+8 = 3x+2
Move the variables (the x's) to one side and the numbers to the other by subtracting 2x from one side and then 2 from the other
6 = 1x or 6 = x
Now that you know that x = 6, you go back to Earl's length and width equations
Length = x+2
Width = x+6
And plug in the value of x you got (6)
Length = 6+2 = 8
Width = 6+6 = 12
There are you answers! Hope this helped! (remember to add units, in this case the units are feet)
How do u solve 5-16tenths
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5 - .16 = 4.84
Write the fraction 14/16 in simplest form. If the fraction is in simplest form
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The simplest form of 14/16 is 7/8.
Hope this helps!
What is 1/3 off of 36.00?
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Hope i helped
A washer and a dryer cost $1000 combined. The cost of the washer is three times the cost of the dryer. What is the cost of the dryer?
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WILL GIVE BRAINEST
Which recursive formula can be used to represent the sequence 2,5,8,11,14
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I'm in middle school, so I'm not totally sure...
The recursive formula for the given AP series 2,5,8,11,14 is a₁ = 2 and [tex]a_{n} =a_{n-1} + 3[/tex] so option (D) will be correct.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given an ap series,
2,5,8,11,14
The first term (a₁) = 2
The nth term of AP can be given as
[tex]a_{n} =a_{n-1} + d[/tex] where d is a common difference.
d = 5 - 2 = 3
So,
[tex]a_{n} =a_{n-1} + 3[/tex]
Hence "The recursive formula for the given AP series 2,5,8,11,14 is a₁ = 2 and [tex]a_{n} =a_{n-1} + 3[/tex] ".
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Over a two-hour time period, a snail moved 72 inches. How far is this in yards?
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A snail moved distance of 2 yards.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Given that, over a two-hour time period, a snail moved 72 inches.
We know that, 1 yard = 36 inches
Now, distance in yards = 72/36
= 2 yards
Therefore, a snail moved 2 yards.
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Assume employees' weekly gross earnings are $80,000, federal income tax withholding is $22,634.50, and FICA taxes are $11,920 in total for the employee and the employer. Determine the net amount to be paid to employees.
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Solve for x. 9≤17−4x Enter your answer, as an inequality, in the box.
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First, let's write the problem.
[tex]9\le \:17-4x[/tex]
We are going to switch sides in order to have the x on the left side.
[tex]17-4x\ge \:9[/tex]
Subtract 17 from both sides.
[tex]17-4x-17\ge \:9-17[/tex]
[tex]-4x\ge \:-8[/tex]
We have two options, divide both sides by -4, or multiply both sides by -1 in order to reverse the inequality. Let's try the second option.
[tex]\left(-4x\right)\left(-1\right)\le\left(-8\right)\left(-1\right)[/tex]
[tex]4x\le \:8[/tex]
Divide both sides by 4.
[tex]\frac{4x}{4}\le \frac{8}{4}[/tex]
Our final answer would be,
[tex]x\le \:2[/tex]
You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
what is the most important part of the decimal system
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i hoped that works ill give you an example if you are still confused
if you are trying to turn this number 89 into a decimal you would have to do 8.9 if you don't than 89 is just a number not a decimal if you forget the decimal you will more than likely get the question incorrect.
there are 36 people in a fitness studio.3/8 of the people lifted weights. 1/3 of the people did cross training. the remaining people were running. what fraction represents the number of people running
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Answer:
→Number of people in the fitness club= 36 People
→Number of people who lifted weights [tex]=\frac{3}{8}\times 36=\frac{108}{8}[/tex]
→Number of people who did cross training [tex]=\frac{1}{3}\times 36=12[/tex]
=12 People
→Number of people who were running
[tex]=1-\frac{3}{8}-\frac{1}{3}\\\\=\frac{24-9-8}{24}\\\\=\frac{7}{24}[/tex]
To determine the fraction of people running in the fitness studio, subtract the fractions of people lifting weights and doing cross training from the total, which comes to 7/24.
The fraction representing the number of people running can be found by adding the fractions of people lifting weights and doing cross training and subtracting that from the total, which gives the fraction of people running. Here's how:
Given: 3/8 lifting weights, 1/3 doing cross training, and the total is 1 (representing the whole).To find the fraction running: 1 - (3/8 + 1/3) = 1 - (9/24 + 8/24) = 1 - 17/24 = 7/24.
which property is illustrated by the following statement? 5g+7= 7 + 5g
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Answer:
The property which is illustrated by the statement 5g+7= 7 + 5g is:
Commutative property
Step-by-step explanation:
Commutative property states that:
If a and b are two elements defined under the operation *
Then, a*b=b*a
Here, we are given
5g+7= 7 + 5g
i.e. a=5g, b=7 and * = +
Hence, the property which is illustrated by the statement 5g+7= 7 + 5g is:
Commutative property
Find the area of a parallelogram with the given vertices. P(1, 3), Q(3, 3), R(7, 8), S(9, 8) A. 10 units2 B. 5 units2 C. 20 units2 D. none of these
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2 * 5 = 10
The area therefore, is A) 10 units.
10 units squared should be your answer
7/8, 3/5, 0.75, 0.65 ordering from least to greatest
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If arrivals occur at a mean rate of 3.6 events per hour, the exponential probability of waiting more than 0.5 hour for the next arrival is:
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Shailen is adding three numbers he gets a sum that is an even number between 10 and 20 show two addition equation shailen could have written
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x+y+z > 10
x+y+z < 20
Shailen could have written two possible addition equations like 4 + 3 + 8 = 15 or 5 + 7 + 6 = 18. Both of these sum up to an even number between 10 and 20. Order of numbers doesn't matter in addition due to its commutative property.
Explanation:The problem is asking for two possible addition problems that Shailen could be solving if his sum ends up being an even number between 10 and 20. This involves an understanding of the properties of addition and how different number combinations can result in an even sum.
Here are two possible addition equations that meet the conditions:
4 + 3 + 8 = 15
5 + 7 + 6 = 18
In both cases, the sums fall between 10 and 20 and are even. It's worth noting commutativity of addition, which says the order in which numbers are added doesn't change the sum. Hence, you can rearrange the numbers in the addition (e.g., 3 + 4 + 8 or 8 + 4 + 3) and the sum will still remain the same.
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Write the quadratic as a product of factors irreducible over the reals. x2 + 16
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Answer:
The product of factors irreducible over the reals are [tex]x^2+16=(x+4i)(x-4i)[/tex]
Step-by-step explanation:
Given : Quadratic form [tex]x^2+16[/tex]
To find : Write the quadratic as a product of factors irreducible over the reals?
Solution :
To find the product first we have to find the roots of the quadratic.
[tex]x^2+16=0[/tex]
[tex]x^2=-16[/tex]
Root both side,
[tex]\sqrt{x^2}=\sqrt{-16}[/tex]
[tex]x=\pm 4i[/tex]
So,The factors of the quadratic equation is [tex](x+4i)(x-4i)[/tex] in the form of complex number.
Therefore, The product of factors irreducible over the reals are [tex]x^2+16=(x+4i)(x-4i)[/tex]
Complete the following statement of congruence:
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Answer:
(C) ΔABC
Step-by-step explanation:
Congruence: Two figures or shapes can be congruent if they have same dimensions and shape.
From the given information, ΔXYZ is congruent to ΔABC as when according to the respective angles of ΔXYZ, the respective angles of the ΔABC matches and this makes them congruent to eachother.
Rest other options fails to satisfy the congruence criteria, thus option C is correct.
Hence, ΔXYZ is congruent to ΔABC.
Write a real-life situation that can be modeled by the expression 1/4 x 2/3
1/4 and 2/3 are fractions
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2/3 of a cake was sitting in the kitchen. You decide to eat 1/4 of it. How much of the whole cake did you eat?
Hope this helps you!
2/3 batch of cookies but then you decided to give away
1/4 to some friends... How much did you give away?
Two neighbors share a garden, in which is growing a prize tomato. the tomato currently weighs 4 ounces. every day that the tomato is not picked
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Identify two factors that have a product of 1/12.
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Multiply them together you get 1/12.
A store is marking down the price of a television 25 percent from the original price of $250. Which expression can be used to find the marked down price?
A: $250 - (0.25)(250)
B: $250 + (0.25)(250)
C: $250 - (25)(250)
D: $250 + (25)(250)
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Answer:
Option A.
Step-by-step explanation:
The original price of a television in a store = $250.00
The store is marking down the price of a television 25 percent from the original price.
25% = [tex]\frac{25}{100}[/tex] = 0.25
The expression can be used to find the marked down price
250 - ( 25% of 250)
= 250 - (0.25)(250)
Option A. is the answer.
There are 4 red cars and 6 blue cars parked in the car park at bens work place. On a transporter lorry travelling along side Ben on the motorway, there are 5 cars, 3 of which are red. In which situation is red most likely?
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Car Park: 4 red, 10 cars total, 40% are red.
Transporter Lorry: 3 red, 5 cars total, 60% are red
Which expression is not equal to 125
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5(5^3/2/5)^2
= 5 (125/2/5)^2
= 5 ( 125/2 x 1/5 ) ^2
= 5 ( 12.5) ^2
= 5 x 156.25
= 781.25 >>>>>>>>>>>>>>>>>>>>>>>> Not equal to 125
=
Almost Pinejuice (y) costs one quarter as much as pineapple juice (p) does. What equation represents this statement?
A) y = 4p
B) y = p + 4
C) p =1/4y
D) y = 1/4p
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Answer: D
Step-by-step explanation: y costs less than p, only 1/4
as much. This translates to y = 1/4p or y =p/4.
Find the work done by the force field f(x, y, z) = x − y2, y − z2, z − x2 on a particle that moves along the line segment from (0, 0, 1) to (2, 1, 0).
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[tex]\mathbf r(t)=\langle0,0,1\rangle(1-t)+\langle2,1,0\rangle t=\langle2t,t,1-t\rangle[/tex]
where [tex]0\le t\le1[/tex]. Then the work done by [tex]\mathbf f(x,y,z)[/tex] along the line segment is
[tex]\displaystyle\int_C\mathbf f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\mathbf f(x(t),y(t),z(t))\cdot\langle2,1,-1\rangle\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^1\langle2t-t^2,t-(1-t)^2,(1-t)-(2t)^2\rangle\cdot\langle2,1,-1\rangle\,\mathrm dt[/tex]
[tex]=\displaystyle\int_0^1(t^2+8t-2)\,\mathrm dt=\frac73[/tex]
It costs $5.52 to park in parking lot A and $3.75 to park in parking lot B. How much more does it cost to park in parking lot A?
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5.52 - 3.75 = 1.77
It cost $1.77 more to park in parking lot A than it does to park in B.
Read the problem and examine the diagram. Garth got 117 votes in the class election. 240 people voted. What percent of all the votes did he get? Which equation does NOT represent the percent of the votes that Garth got?
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Answer:
48.75%
Step-by-step explanation:
If total number of people that voted = 240
Number of votes Garth got = 117
% vote he got = Number of Garth vote/Total number if vote ×100℅
% vote gotten by Garth = 117/240×100%
% vote gotten by Garth = 48.75%
A client is instructed to take 1 1/2 teaspoons of a cough syrup 3 times a day. How many teaspoons of cough syrup will the client take each day?
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A fraction is a way to describe a part of a whole. The number of teaspoons of cough syrup that the client will take each day is 4 1/2 teaspoons.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
What is Mixed Fractions?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that a client is instructed to take 1 1/2 teaspoons of cough syrup 3 times a day. Therefore, the number of teaspoons of cough syrup that the client will take each day is,
Number of teaspoons = 3 × 1 1/2 teaspoons
= 3 × (2×1 + 1)/2
= 3 × 3/2
= 9/2
= 4 1/2
= 4.5
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Suppose that work hours in new zombie are 200 in year 1 and productivity is $8 per hour worked. what is new zombie's real gdp? if work hours increase to 210 in year 2 and productivity rises to $10 per hour, what is new zombie's rate of economic growth?
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The new zombie's real gdp in year 1 is given by 200 x $8 = $1,600
If work hours increase to 210 in year 2 and productivity rises to $10 per hour.
The new zombie's real gdp in year 2 is given by 210 x $10 = $2,100
The new zombie's rate of economic growth is given by
[tex]\frac{\$2,100-\$1,600}{\$1,600} \times 100\%= \frac{\$500}{\$1,600} \times100\%=31.25\%[/tex]
Final answer:
New Zombie's real GDP in year 1 is $1600 and in year 2 is $2100, resulting in a rate of economic growth of 31.25%.
Explanation:
To calculate the real GDP of New Zombie we must multiply the work hours by the productivity (value produced per hour).
For year 1, the real GDP is calculated as follows:
200 hours * $8 per hour = $1600.
For year 2, we calculate the real GDP as:
210 hours * $10 per hour = $2100.
Now, to find the rate of economic growth from year 1 to year 2, we use the formula:
((GDP in year 2 - GDP in year 1) / GDP in year 1) * 100
= (($2100 - $1600) / $1600) * 100
= 31.25%.
Thus, New Zombie's rate of economic growth is 31.25%.