The volume of the post = volume of rectangular prism - volume of cylindrical hole = 3,223.0 cm³.
What is the Volume of a Rectangular Prism?Volume = (l)(w)(h)
What is the Volume of a Cylinder?Volume = πr²h
Volume of the post = volume of rectangular prism - volume of cylindrical hole
= (l)(w)(h) - πr²h
= (10)(12)(30) - π(2²)(30)
Volume of the post = 3,223.0 cm³
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Solve the linear equation
Please send the work as well
2/5x + 25= 4/5x + 30
Answer:
x = 12 1/2
Step-by-step explanation:
Combine like terms, as follows: 25 - 30 = (4/5)x - (2/5)x, or
5 = (2/5)x
Multiplying both sides by (5/2) 'solves' this equation for x:
(5/2)(5) = (5/2)(2/5)x => (25/2) = x
Then x =25/2 or x = 12.5 or x = 12 1/2
The radius of a circle is 7 inches. What is the length of a 135º arc?
Earl made a 1/2 pan of brownies using 2/3 cup of sugar How much sugar will it take for a whole pan of brownie
Answer:
It will take 4/3 cup of sugar or 1 and 1/3 cup of sugar
Step-by-step explanation:
1/2 + 1/2= 1
2/3 + 2/3=4/3 or 1 and 1/3
hope this helps:)
At a skills competition, a target is being lifted into the air by a cable at a constant speed. an archer standing on the ground launches an arrow toward the target. the system of equations below models the height, in feet, of the target and the arrow t seconds after it was fired. which statement most likely describes the situation modeled by this system?
The answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.
What is Velocity?
Velocity is defined as when an object travels to a particular distance with respect to time in a particular direction then it is termed as velocity. Velocity is a vector quantity.
By definition, the equation of movement in its generic form is given by:
[tex]h(t)=-\dfrac{1}{2}gt^2+v_ot+h_o[/tex]
Where,
g: acceleration due to gravity
[tex]v_o[/tex]: initial speed
[tex]h_o[/tex]: initial height
The equation for the arrow is given by:
[tex]h=4+32t-16t^2[/tex]
Then, according to the definition, the initial velocity of the arrow is:
[tex]v_o=32 \ \dfrac{m}{s}[/tex]
Hence the answer will be option 4.The arrow is fired with an initial upward velocity of 32 ft / s.
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Answer:
Step-by-step explanation:
d on edge i took the test
Write equivalent fractions for 2/3 and3/5 using 15 as the common denominator
Answer:
2/3 would be 10/15 and 3/5 would be 9/15
Step-by-step explanation:
To get the common denominator of 15 you multiply the first fraction by 5 in the numerator and denominator and on the other fraction you multiply by 3 in the numerator and denominator.
Determine the average rate of change in median age per year from 1930 to 1960
A. -0.5 years of age per year
B. 20 years of age per year
C. -0.05 years of age per year
D. +0.05 years of age per year
Answer:
It's C -0.05 years of age per year
Step-by-step explanation:
I am less than my half and greater than my double. The sum of me and my square is zero.
Who
am I?
Answer: -1
Step-by-step explanation:
[tex]\frac{-1}{2}[/tex] is greater than -1 as it is closer to 0
[tex](2)-1=-2[/tex]
-1 is greater than -2 as -1 is closer to 0
[tex]-1+(-1)^2\\-1+1\\0[/tex]
The sum of -1 and its square is 0
Jasmyn is 4 years older than Sofie. three times Jasmyn age added to six times Sophie's age is 36. How old are Jasmyn and Sofie?
Answer:
Sophie is 2 and 8 months old
Jasmyn is 6 and 8 months old
Step-by-step explanation:
j = 4 + s
3j + 6s = 36
Solve for Sophie's age by substitution:
3(4 + s) + 6s = 36
12 + 3s + 6s = 36
12 + 9s = 36
9s = 24
s = 24/9 = 8/3 or 2 and 2/3
Sophie is 2 and 8 months old
Solve for Jasmyn's age:
j = 4 + s
j = 4 + 8/3
j = 12/3 + 8/3
j = 20/3 or 6 and 2/3
Jasmyn is 6 and 8 months old
I hope this helps!
(10^x/6) (10^x/8)=10^10
Answer:
(10^x/6)(10^x/8)=10^10
Exact Form: 6/253
In Decimal Form (rounded off): 0.02
Hope it helps! :)
y = 3x + 1, -x + 2y = -3
Answer:
X= -1 y= -2
Step-by-step explanation:
y= 3x+1
y-1 =3x
X= y-1/3...(1)
-x+2y= -3
-(x-2y)= -3
x-2y=3
(y-1/3)-2y =3 (from eq (1))
y-1-6y =3×3
-5y= 10
y= -2
X= y-1/3
= -2-1/3
x = -1
Which of the following is least likely to be a warning sign that one's debt is at a critical point? a. all credit cards are at their limits b. having several credit cards c. making only minmum payments on credit cards d. using cash advances to pay bills please select the best answer from the choices provided. a b c d
The option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.
What is a warning sign for credit cards?The most likely warning sign for credit cards is not paying or clearing the debt of the credit card in full each month.
The options given in the problem are,
a. All credit cards are at their limits. b. Having several credit cards. c. Making only minimum payments on credit cards. d. Using cash advances to pay bills.In these options, least likely to be a warning sign is having several credit cards as having multiple cards and well management of them required the carefulness and awareness.
Thus, the option which is least likely to be a warning sign that one's debt is at a critical point is having several credit cards.
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Evaluate the expression.
52−4⋅6+11
Enter your answer in the box.
Answer: 39
Step-by-step explanation: PEMDAS
There are 12 boys and 15 girls in Mr. Fraioli’s math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl
n = 12 + 15 = 27
Probability of choosing girl,
p = 15/27
Probability of choosing boy,
q = 1 - 15/27 = 12/27
[tex]P(X = 1) = \binom{27}{1} { (\frac{15}{27}) }^{1} ( { \frac{12}{27} )}^{26} \\ = 1.045552364 \times {10}^{ - 8} [/tex]
The probability that he will choose a girl will be equal to 15/27.
What is the probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that there are 12 boys and 15 girls in Mr Fraioli’s math class. He will randomly call on one person to answer the problem of the day.
The probability that he will choose a girl,
n = 12 + 15 = 27
Probability of choosing a girl,
p = 15/27
Probability of choosing boy,
q = 1 - 15/27 = 12/27
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Someone help me with this question
Answer:
Step-by-step explanation:
Defining CB
CB is not the hypotenuse of triangle ABC. The hypotenuse is the longest side of any right triangle. CB is the other side other than the hypotenuse that makes up <C. It is the adjacent side because AC and CB make up angle C.
Defining Cos(C)
All of this makes up what you need to know to define the Cos(C)
Cos (C) = adjacent side / hypotenuse.
adjacent side = 6
Hypotenuse = 10
Cos(C) = 6/10
Answer: B
How many 30 degrees angles fit in a right angle?
Answer:
3
Step-by-step explanation:
A right angle is 90 degrees. 90/30=3
6 is the answer. hope this helpsssss
If humans lost the ability to see all color except one, which color would you want to survive?
Answer:
The color blue. There’s many shades of blue and plus blue is my favorite color. I’ll be able to tell if I’m drinking water or not.
Rani and Kajal are playing a card game using a standard 52 card deck.
Kajal will pick a card at random. If the card is a black card, she will win $5. If the card is a face card (jack, queen, or king), but not a black card, she will win $3. If she picks anything else, she will lose $10.
The image below shows a standard deck of playing cards.
What is Kajal's expected value of playing this game?
Answer:
not answered this question
Kajal's expected value of playing this game is -$1
Kajal's expected value of playing this gameThe given parameters are:
Picking a black ⇒ $5 (win)Picking a face card ⇒ $3 (win)Picking anything else ⇒ $10 (lose)There are 26 black cards in a standard 52 card decks.
So, we have:
P(Black) = 26/52
There are 6 face cards that are not black in a standard 52 card decks.
So, we have:
P(Face card and not black) = 6/52
There are 20 other cards not in the above categories.
So, we have:
P(Others) = 20/52
The expected value is then calculated as:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
E(x) = 5 * 26/52 + 3 * 6/52 - 10 * 20/52
Evaluate the products
E(x) = 130/52 + 18/52 - 200/52
Evaluate the sum and difference
E(x) = (130 + 18 - 200)/52
This gives
E(x) = -52/52
Evaluate
E(x) = -1
Hence, Kajal's expected value of playing this game is -$1
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For each order. Determine weather is a solution to x = -5
Solutions:
(-5,1)
(3,-5)
(9,2)
(-5,4)
Which of the following is a net of a triangular prism? A) Figure A B) Figure B C) Figure C D) None of these
Step-by-step explanation:
Figure A is the triangular prism
I am thinking of two numbers whose difference is 32. Twice the smaller number is 12 more than the larger number. What are my numbers?
Which expressions result in an irrational number
Answer:
III ONLY
If right please make brainleist for others to learn from this answer thanks!
Step-by-step explanation:
if x+3/3=y+2/2 then, x/3 = ?
Answer:
y-2
Step-by-step explanation:
x+3/3=y+2/2
cross multiply
2(x+3)=3(y+2)
2x+6=3y+2
2x=3y+2-6
2x=3y-4 (divide both sides by 2)
2x/2=3y-4/2
x=3y-2
therefore substitute x=3y-2 into x/3
3y-2/3
=y-2
As the sample size gets larger, what happens to the size of the correlation that is needed for significance?.
If the sample size gets larger, the size of the correlation that is needed for significance will get smaller.
What will happen to the significance required when sample size increases?As the sample size gets larger, it's characteristics will become more and more like the population it is derived from which makes predictions more accurate.
As a result, the correlation size that is needed to decide significance will reduce. This tallies with the characteristic of the correletion coefficient to be lower when the sample size is greater.
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26. The length of ABC is 110 ft. What is the radius
of circle D? Round to the nearest tenth.
Answer:
The radius of the circle is 20.6
Variable g is 8 more than variable w. variable g is also 4 less than w. which pair of equations best models the relationship between g and w? g = w − 8 g = w 4 w = 8g w = g − 4 g = w 8 g = w − 4 w = 8g w = g 4
A pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as linear equation in one variable.
We have :
Variable g is 8 more than variable w, mathematically we can write it as:
g = w + 8 ....(1)
Also, variable g is also 4 less than variable w, mathematically we can write it as:
g = w - 4 ....(2)
The equation (1) and equation (2) are representing the system of linear equation in two variables.
So, we have framed two linear equation, that is:
g = w + 8 and
g = w - 4
Thus, a pair of equations best models the relationship between g and w are g = w + 8, and g = w - 4 option second is correct.
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Answer:
b
Step-by-step explanation:
Please help me i can’t figure it out
Answer:
51
Step-by-step explanation:
Always do parentheses first.
So 39-3=36
Then 36+6+3power of 2
36+6=42
42+3 power of 2
3 times 3 = 9
42+9=51
Answer:
51
Step-by-step explanation:
I got it right on the test
A ray of an angle that rotates about the center is called?
A ray of an angle that rotates about the center is called terminal arm of that angle.
How does an angle form?An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The point of their joint is called vertex of that angle.
Those two line segments forming it are called arms of that angle.
One arm is fixed, and one arm rotates around that vertex to make angles of different different measurements.
The fixed arm is called initial arm/initial side.
The moving arm is called terminal arm/terminal side.
The angle is the degree of rotation that it will take for the moving side to go from initial side to the position it is currently on.
Thus, a ray of an angle that rotates about the center is called terminal arm of that angle.
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Estimate the perimeter of the figure to the nearest whole number.
perimeter: about
units
Answer:
i d k
Step-by-step explanation:
we cant see your figure so
What is the value of x?
Enter your answer in the box.
x =
17.3
52÷3=17.3
if i am mistaken
Those are vertical angles which are equal to each other:
2x + 2 = 3x - 52
Add 52 to both sides:
2x + 54 = 3x
Subtract 2x from both sides:
54 = x
Rewrite as x = 54
Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) as shown below. what error does anja make? 2 x minus 3startlongdivisionsymbol 8 x cubed minus 36 x squared 54 x minus 27 endlongdivisionsymbol. minus 8 x cubed minus 12 x squared to get a remainder of negative 24 x squared 54 x. minus 24 x squared 36 x to get a remainder of 18 x minus 27. minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9 she makes a subtraction error. she makes an error choosing the x-term in the quotient. she makes a multiplication error. she makes an error rewriting the problem in long division.
Anja divides (8x3 – 36x2 54x – 27) by (2x – 3) in this process she makes a multiplication error.
We have given,
Anja divides (8x3 – 36x2 54x – 27) by (2x – 3)
2 x minus 3start long division symbol 8 x cubed minus 36 x squared 54 x minus 27 end long division symbol.
What is the division of polynomials?
To divide each term in the polynomial by the monomial, and then write each quotient in the lowest terms.
minus 8 x cubed minus, 12 x squared to get a remainder of negative 24 x squared 54 x.
minus 24 x squared 36 x to get a remainder of 18 x minus 27.
minus 18 x 27 to get a remainder of 0 and a quotient of 4 x squared minus 12 x 9.
Therefore we can conclude that she makes a multiplication error.
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The Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We have dividend polynomial:
[tex]\rm 8x^3 -36x^2+54x-27[/tex]
Divisor polynomial:
[tex]\rm 2x-3[/tex]
If divide [tex]\rm 8x^3 -36x^2+54x-27[/tex] by [tex]\rm 2x-3[/tex] we will get, quotient polynomial[tex]\rm 4x^2-12x+9[/tex], and remainder is zero but in the process of Anja's divide she did multiplication error as:
9(2x - 3) ⇒ 18x + 27
She put positive sign instead of negative.
The correct way of multiplication is as follows:
9(2x - 3) ⇒ 18x - 27
Thus, the Anja makes multiplication error, she writes 18x + 27 instead of 18x - 27 option third is correct.
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