Answer:
Box 1's volume will be a monomial
Box 2's volume will be a binomial
Explain your reasoning:
Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial. Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.
Step-by-step explanation:
Feel free to copy and paste! Hope this helps! Have a great day!
BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!! <3
The volume of a box is the amount of space it can occupy.
Box 1's volume will be a monomialBox 2's volume will be a binomialThe given parameters are:
Dimensions of box 1: x by 3x by x^3
Dimensions of box 2: x by 4x - 1 by x^3
The volume of the box is calculated by multiplying the dimensions.
So, we have:
Box 1
[tex]V_1 = x \times 3x \times x^3[/tex]
[tex]V_1 = 3x^5[/tex]
Box 2
[tex]V_2 = x \times (4x - 1) \times x^3[/tex]
[tex]V_2 = (4x - 1) \times x^4[/tex]
Open brackets
[tex]V_2 = 4x^5 - x^4[/tex]
After calculating the volumes, we have:
[tex]V_1 = 3x^5[/tex] ---- box 1
[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2
Hence,
The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 termsRead more about volumes at:
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Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, she can use the equation:
Answer:
The equation should be h²=P²+b²
27²=15²+18²
729=225+324
729=549
thus, it is not right angle triangle
Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
A) How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years? Round to nearest cent.
B) What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account? Round to nearest hundredth of a percent.
Answer:
A)You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
Step-by-step explanation:
We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.
Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.
a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?
Principal = 23750
Rate of interest = 7.75%
No. of compounds per year = 12
Time = 8 years
Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r = rate of interest
n = No. of compounds
t = time
Substitute the value sin the formula :
[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]
A=44061.6163406
Interest = Amount - Principal
Interest = 44061.6163406-23750
Interest =20311.62
You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.
B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account
Principal = 23750
Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]
[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]
Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%
A smart-phone is thrown upwards from the top of a 240-foot building with an initial velocity of 32
feet per second. The height h of the smart-phone after t seconds is given by the quadratic equation
h = - 16t2 + 32t + 240. When will the smart-phone hit the ground?
Answer:
t = 5 sec
Step-by-step explanation:
h = - 16t² + 32t + 240
On the ground h = 0.
- 16t² + 32t + 240 = 0 / : (- 16)
t² - 2t - 15 = 0
(t-5)(t+3) = 0
t = 5, t = - 3
Time can be only positive, so t = 5 sec
Choose each number that shows 1/2 % as an equivalent fraction, decimal, or percent. Select all that apply.
A. 0.05
B. 2%
C. 51,000
D. 5100
E. 0.005
Answer:
E
Step-by-step explanation:
1/2% is .5% = .5/100 = .005
The required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Given percentage term = 1/2%
Since 1/2 = 0.5, and percent % = 1/100th
Togetherly,
= 0.5/100 = 0.005
Thus, the required requried equivalent fraction of the given percentage value is 0.005 Option E is correct.
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Which of the following best describes the relationship between the chords NR and QS shown in the diagram below?
Answer:
C
Step-by-step explanation:
By observation, we can see very clearly that NR and QS are neither parallel nor perpendicular. Hence we can ignore A and B.
We notice that VT and VU are the same length.
Hence we can conclude that NR and QS must also be the same length (i.e they are congruent)
Therefore C is the answer.
WILL MARK AS BRAINLIST
Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0
a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4
Answer:
C
Step-by-step explanation:
4x-5y=0
5y=4x
y=4x/5, or rather y = (4/5)*x
k thus equals 4/5, and that is your constant of variation.
Answers: Yes, direct variation, k=4/5
Which table represents a function?
The one on the far left
Jesse had $421.56 dollars in his checking account
when he deposited g twenty-dollar bills and k quarters
Write an expression that represents the amount of
money in his account after his deposit.
Answer:
An expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
Step-by-step explanation:
Jesse had $421.56 dollars in his checking account
Now he deposited g twenty-dollar bills
Now new amount =$421.56+20g
Now he deposited k quarters
1 quarter = 0.25
k quarters = 0.25k
So, Amount in the account = 421.56+20g+0.25k
Hence an expression that represents the amount of money in his account after his deposit is [tex]421.56+20g+0.25k[/tex]
I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light )
Answer:
its a scalene triangle
Step-by-step explanation:
help sleepyhelp asap
Answer:
The one that has the number of meals in the side and the one that has number of days
Step-by-step explanation:
If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has
Hope this helps
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC
Answer:
A) ΔABC ≅ ΔEDC
Step-by-step explanation:
To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.
Let's see what we have in these two triangles.
Side AB is congruent to side ED. This is one pair of sides.
Angle A is congruent to angle E. This is one pair of sides.
Now we need a second pair of angles, that will make the two sides not-included in the angles.
By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.
We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.
Answer: A) ΔABC ≅ ΔEDC
Jim rents an apartment in New York City for $1600 a month. Mike rents his apartment in Boston for 7/8 as much. How much more does it cost Jim than it does Michael for rent?
Answer:
Jim pays 200 more dollars per month than Mike.
Step-by-step explanation:
Jim--> $1600/month
Mike--> 7/8(Jim's rent)
7/8(Jim's rent)
7/8(1600)
= $1400
1600-1400= 200
Jim pays 200 more dollars per month than Mike.
I hope that makes sense!
some teachers traveled to school by car the table shows the number of teachers in the cars a) what was the modal number of teachers in a car b) what was the median number of teachers in a car c) what was the mean number of teachers in a car
Answer:
Step-by-step explanation:
since it is asking for the modal that means the most so it would be 3 teachers, and when asking the median we have to change the order so it would be 2,3,4,6 and we find the middle so it would be 3.5, and the mean is the total of the numbers divided by how many numbers there are so it would 2+6+4+3=
15/10 = 1.5
A mean is an arithmetic average of a set of observations. The model number, median, and mean of the number of teachers in a car are 3, 3, and 2.46667, respectively.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The given table can be written in the data form as 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4.
A.) The modal number is the mode of a given data set. Therefore, the mode of the given data set is 3.
B.) The median is the middle number of a given data set. Therefore, the median is 3.
C.) The mean is the average number of teachers in a car. Therefore, the mean is,
Mean = (1+1+1+2+2+2+2+3+3+3+3+3+3+4+4)/15 = 37/15 = 2.46667
Hence, the model number, median and the mean of the number of teachers in a car is 3, 3, and 2.46667, respectively.
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Which expression is equivalent to Two-thirds x minus one-half y minus four-fifths? One-third x minus one-fourth y minus four-fifths + one-third x + one-fourth y One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y One-third x minus one-fourth y minus one-fifth minus one-third x minus three-fifths minus one-fourth y One-third x minus one-fourth y + two-fifths + one-third x minus two-fifths minus one-fourth y
Answer:
The correct answer is B or
One-third x minus one-fourth y minus four-fifths + one-third x minus one-fourth y
Step-by-step explanation:
I just took the test
Answer:
It's B aka -2x - 3.
Step-by-step explanation:
Hello can someone please help me ASAP
Answer:
A.
Step-by-step explanation:
[tex]m^2+n^2=p^2[/tex] because the Pythagorean Theorem is [tex]leg^2+leg^2=hypotenuse^2[/tex]
Answer:
A
Step-by-step explanation:
Since p is the hypotenuses it's supposed to be the biggest measure so the m and n should equal the hypotenuses when both are squared
84 is 30% of what number?
2.8
25.2
280
2520
Answer:
280
Step-by-step explanation:
30%=30/100=0.3
Let's call the mystery number x.
84=0.3x
84/0.3=0.3x/0.3
x=84/0.3=280
Hope this helps!
(02.07 LC)
Which relationship is always correct for the angles x, y, and z of triangle ABC?
A
x
C
Ox+ z = y
Oy + z = x
O x + y + z = 180 degrees
Ox + y + z = 90 degrees
Answer:
Ox+y+z=180
Step-by-step explanation:
The relationship which is always rue for the three angles x, y and z of triangle ABC is x + y + z = 180°.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
We know that a triangle has three angles.
Let x, y and z be the three angles of the given triangle.
We know that, the interior angles of a triangle sum up to 180°.
The given three angles are x, y and z.
So, x + y + z = 180°
Hence the correct relationship that describes all the three angles of the triangle is that x + y + z = 180°.
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Need quick help on this
Answer:
C.
Step-by-step explanation:
I cant really explain it but i had the same question and had the answer worked out on the paper
Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)
subtract (-3y2 − 8) − (-5y2 + 1)
Answer:
2 y^2 - 9
Step-by-step explanation:
(-3y^2 − 8) − (-5y^2 + 1)
Distribute the negative sign
(-3y^2 − 8) + 5y^2 - 1
Combine like terms
-3y^2 + 5y^2 - 1 − 8
2 y^2 - 9
Answer:
The answer to (-3y² - 8) - (-5y² + 1) is 2y² - 9
Step-by-step explanation:
[tex](-3y^2-8)-(-5y^2+1)[/tex]
Since there is a minus sign in front of the second parentheses, then the terms within that parentheses will be changed to their opposite signs.
[tex]-3y^2-8+5y^2-1[/tex]
Combine like terms.
[tex]2y^2-9[/tex]
What is 42.8 on its standard form???
Answer:
[tex]4.28 \times 10^{1}[/tex]
Step-by-step explanation:
[tex]42.8 \times 10^0=42.8[/tex]
[tex]4.28 \times 10^{1}=42.8[/tex]
Answer:
42.8 x 10^0
Step-by-step explanation:
A. Standard Form
Ax + By = C.
A, B, C are integers (positive or negative whole numbers)
No fractions nor decimals in standard form.
Traditionally the "Ax" term is positive.
Can someone please help with this math problem I'd really appreciate it.
Answer:
[tex]\mathrm{F}[/tex]
Step-by-step explanation:
[tex]y+8=4(x-5)[/tex]
[tex]x=5\\y=-8[/tex]
[tex](-8)+8=4((5)-5)[/tex]
[tex](-8)+8=4(0)[/tex]
[tex]0=0[/tex]
1) Function B: x -> /5 -> +1 = y
find the inverse function of Function B
2) find an expression for m in terms of p.
Answer:
5x-35
Step-by-step explanation:
f(x)=5x+7
y=5x+7
x=5y+7
x-7=5y
5x-35=y
Penny wrote the mixed number 4 2/7 as 8/7. Describe Penny's error, and EXPLAIN how she should of have written the improper fraction
Answer:
She must have multiplied 4 times 2/7 which is 8/7. She should have written it as 30/7.
Step-by-step explanation:
The rectangular field at Wilson Middle School is 300 feet long and 175 feet wide. In gym
class, students warm up by jogging along the edges of the field. What is the total number
of feet they jog?
475 feet
950 feet
52.500 feet
105.000 feet
the total number of feet they jog is 950 feet.
What is data about?
Answer: the quantities, characters, or symbols on which operations are performed by a computer, being stored and transmitted in the form of electrical signals and recorded on magnetic, optical, or mechanical recording media.
Step-by-step explanation:
Data mainly is about taking note of specific observations in numbers, for reference in the future.
I know this is easy but can someone answer this ?
Answer: 57.15°F
Step-by-step explanation: If I'm reading this correctly the tempature was 62.4°F at 6:00 PM. By 8:00 PM it dropped by 5.25°F....therefore...all we have to do is...
62.4°F - 5.25°F = 57.15°F
The tempature is 57.15°F at 8 PM, I hope this helps!
Given that: 2√2−√5 / 3√2+2√5 = =
Answer:
7√10/2 - 11
Step-by-step explanation:
(2√2−√5) / (3√2+2√5)=
(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=
(12+10-3√10-4√10)/(18-20)=
(22-7√10)/-2= 7√10/2 - 11
Simplify: 6-/18 - 3.450
Answer:
-3.11666666667
Step-by-step explanation:
remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
combine the constants. hope this helps you :)
What is the probability that out of 175 chicks hatched on Peeper Farm, at
least 80 will be female? Assume that males and females are equally probable,
and round your answer to the nearest tenth of a percent.
A. 88.7%
B. 38.1%
C. 3.5%
D. 99.7%
The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.
Given that,
Total number of hatched chicks = 175
At least 80 are female,
Probability can be defined as the ratio of favorable outcomes to the total number of events.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since in the question
total chicks(total sample) = 175
probability for at least 80 chicks will be female.
Probability = number of female chicks / total number of chiks
= 80 /175
= 0.45 or 45%
Thus, The required probability of the chicks hatched on peeper is 0.45% none of the options is correct.
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thats not even an answer
Can someone help me with this question please
Answer:
x <-8
Step-by-step explanation:
3-(2x-5) < -4(x+2)
Distribute
3 -2x+5 < -4x-8
Combine like terms
8 -2x < -4x-8
Add 4x to each side
8 -2x+4x< -4x-8+4x
8+2x < -8
Subtract 8 from each side
8-8+2x< -8-8
2x<-16
Divide by 2
2x/2 < -16/2
x <-8
Answer:
[tex]x < - 8[/tex]
First answer is correct
Step-by-step explanation:
[tex]3 - (2x - 5) < - 4(x + 2) \\ 3 - 2x + 5 < - 4x - 8 \\ 3 + 5 + 8 < + 2x - 4x \\ 16 < - 2x \\ \frac{16}{ - 2} < \frac{ - 2x}{ - 2} \\ x < - 8[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
