Answer:
[tex]3\frac{3}{4}\: \mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.
The box has a height of 3 boxes, a length of 5 boxes, and a width of 2 boxes. Since each box is 1/2 cm long, we can deduce the prism has a:
Height of 1.5 cmLength of 2.5 cmWidth of 1 cmTherefore, the volume of the prism is
[tex]V=1.5\cdot 2.5\cdot 1,\\V=3.75=\boxed{3\frac{3}{4}\: \mathrm{cm^3}}[/tex]
The standard form of a quadratic function is given below. Select ALL
statements which MUST be true about its graph.
f (x) = ax? + bx + c
A. The y-intercept of the graph is at (0,c).
B. The graph has an x-intercept at (c,0).
C. When "a" is positive, the graph opens up.
D. The graph always has two distinct x-intercepts,
Answer:
A; C.
Step-by-step explanation:
B. not correct: the graph can have no interception; one interception or two interception;
D. not correct: the graph can have no interception; one interception or two interception.
\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}
Answer:
[tex]= \frac{2x-3\sqrt{x} }{x-1}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}[/tex]
Expand
[tex]\frac{(\sqrt{x} +1)^{2} +(\sqrt{x} -1)^{2} )}{(\sqrt{x} +1)(\sqrt{x} -1)} -\frac{3\sqrt{x} +1}{x-1}\\= \frac{x+2\sqrt{x}+1+(x-2\sqrt{x} +1) }{x-1}- \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1}{x-1} - \frac{3\sqrt{x} +1}{x-1}\\= \frac{2x+1-(3\sqrt{x} +1)}{x-1}\\= \frac{2x-3\sqrt{x} +1-1}{x-1}\\= \frac{2x-3\sqrt{x} }{x-1}[/tex]
This gives the simplified form
Was this equation solved correctly? How do you know?
Subtract three from both sides
Combine like terms
Divide by 4 on both sides
Simplify
19 = 4x + 3
19 - 3 = 4x + 3-3
16 = 4x
16/4 = 4x/4
3 = x
(+58) x (-75) =
I don't understand this! Can someone help me?
Answer:
-4350
Step-by-step explanation:
-((58)x(75))=
-(4350) =
-4350
Help asappppp hbshhshshhshshsshshshs
9 on the top as well so 9 x 2 18 3x2 6 3
f(x)4x+1 and g(x)=x^2 -5
Answer:
B. x² + 4x - 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) = f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 4x + 1 + x² - 5Combine like terms: (f + g)(x) = x² + 4x - 4Answer:
B
Step-by-step explanation: 6 18 11 18
f(x)=4x+1 and g(x)=x^2 -5
f(x)= 4x+1
g(x)=x^2 -5 just add these two equations
(f+g)(x) = x² + 4x +1 - 5
(f+g)(x) = x² + 4x - 4 B
Ayúdenme con esto
Por favor
Answer:
sir, this is a english app, search a spanish app
señor, esta es una aplicacion en ingles, busque una en español
Step-by-step explanation:
Brainly.lat
what is x when tan24 = 5/x
Answer:
x ≈ 11.23
Step-by-step explanation:
Given
tan24° = [tex]\frac{5}{x}[/tex] ( multiply both sides by x )
x × tan24° = 5 ( divide both sides by tan24° )
x = [tex]\frac{5}{tan24}[/tex] ≈ 11.23 ( to 2 dec. places )
Solve for x in these two similar triangles
Which of the following are not polynomials? O A. x2 +x+1 O B. X-2 + x + 1 am. x + V3x+1 OD. 3+x+1 E. x + 0x2 + 2x + 2
Answer:
Option B
Step-by-step explanation:
Look.......Polynomial is something which has more than 3 term..So, as you can see option B has more than three.
The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?
Let x = the smaller number.
Let y = the larger number.
Which two equations represent the system for this word problem?
Equation 1:
Equation 2:
Step-by-step explanation:
everything can be found in the picture
Answer:
Step-by-step explanation:
Which two equations represent the system for this word problem?
Equation 1:
✔ x + y = 10
Equation 2:
✔ y = 4x
Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.
If we know that Karen boards the bus first, which shows the possible outcomes for this event?
KHIJ
KHIJ, KHJI
KHIJ, KHJI, KJHI, KJIH
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Answer:
D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Step-by-step explanation:
Got a 100% on test! EDGE 2021
The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.
What is permutation?A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.
Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert
The formula to determine permutation is:
ⁿPₓ = n!/(n-x)!
Where n is the total number of objects and r is the number of objects selected.
For the given question, n will be 3 since K boards the bus first and hence his position is fixed.
Therefore, H, I, and J can switch positions.
³P₂ = 3!/(3-2)!
³P₂ = 6
Therefore, the correct option is D.
Learn more about permutation here:
brainly.com/question/14767366
#SPJ7
How far should Galileo walk up the inclined plane?
Answer:
Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls
PLEASE HELP ME THANK YOU
Answer:
Step-by-step explanation:
That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.
Answer:
39deg
Step-by-step explanation:
BD is the angle bisector of ABC. Find m ABC and m DBC. (Picture attached!) Thank you!!!
Answer:
60 Degree,30 degree
Step-by-step explanation:
BD is bisector of ∠ABC
=> ∠ABD = ∠DBC
=> 3x = x + 20
=> 3x - x = 20
=> 2x = 20
=> x = 20/2
=> x = 10
Now,
∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree
∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree
through:(-1, -2), slope = 5
Answer:
y=5x+3
Step-by-step explanation:
Hi there!
We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
Since we're already given the slope, we can substitute that immediately into the equation
here it is so far:
y=5x+b
now we need to solve for b
Since the line will pass through the point (-1,-2), we can use it to solve for b
substitute -1 as x and -2 as y into the equation
-2=5(-1)+b
multiply
-2=-5+b
add 5 to both sides
3=b
substitute that into the equation
therefore, the equation of the line is y=5x+3
Hope this helps! :)
The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11
Answer:
I'm not really sure what you're asking because there's no image.
Step-by-step explanation:
please try to reword it and maybe show a picture .
What are the domain and range of f(x) = 2|x -4|?
plz i'm in need
Answer:
Domain: (-∞, ∞)
Range: [0, ∞)
Step-by-step explanation:
The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)
The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)
Find the volume of this sphere.
Use 3 for T.
Find the measure of each angle indicated. Please help !!
Answer: 86°
Step-by-step explanation:
You add 28°+58° to get 86
a scalene triangle always equals (adds up to) 180°
So you minus 86° from 180 to get 94° for angle EGF
Then since line EGT is 180° the ? has to add together with 94° to find your answer
94°+?=180°
180°-94°= 86°
Mary’s school is selling tickets to a choral performance. On the first day of ticket sales the school sold 4 senior citizen tickets and 2 child tickets for a total of $64. The school took in $204 on the second day by selling 12 senior citizen tickets and 8 child tickets. What is the price of one senior citizen ticket and one child ticket.
Answer:
$13 - senior
$6 - child
Step-by-step explanation:
set up a system of equations:
s = senior tickets price
c = child tickets price
4s + 2c = 64; you can simplify this by dividing through by 2 to get:
2s + c = 32
12s + 8c = 204; you can simplify this by dividing through by 4 to get:
3s + 2c = 51
we can say that 'c' = 32-2s' and substitute that for 'c' in the second equation:
3s + 2(32-2s) = 51
3s + 64 - 4s = 51
-s = -13
s = 13
now find 'c' by substituting 13 for 's':
2(13) + c = 32
26 + c = 32
c = 6
1. (x^3 - 9 x^2 + 26 x - 24) ÷ (x - 4)
2. (6 x^3 + x^2 - 26 x - 21) ÷ (3x - 7)
3. 2 x^4 - x^3 + 10 x^2 + 8 x - 6) ÷ (x^2 - x + 6)
Answer:
1. = x^2 -5x+6
Step-by-step explanation:
2. = 2x^2 +5x+3
3. =2x^2 +(x-1) +((x)/x^2 -x+6)
A rectangle measures 15 cm by 10 cm is given, if the length of side is
increased by 20%, find the increase of area in percentage.
Answer:
20 % increase in Area
Step-by-step explanation:
1. Original Rectangle Area = 150cm ²
2. 20% of 15 is 3
3. Increased length is equal to 18
4. Increased Rectangle Area = 180cm ²
5. Ten percent of 150 = 15.
6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.
7. 2 ten percent equals 20%
8. Answer is 20%.
For which equation would x = 0 be a solution?
6x = 1/6
4x = -4
(7)x = 0
1,000x = 0.001
QUESTIONS:- For which equation would x = 0 be a solution?
ANSWER:- (7)x = 0
as 7x= 0
x=0 ANSWER
(High points) Please solve with explanation
Answer:
36 9/16 inches
Step-by-step explanation:
Given that the piece is 45 1/2 inch long and 8 7/8 is cut from it, the remaining length should be the difference between the original length and the length cut from it
= 45 1/2 - 8 7/8
simplify
= 44 - 8 (8 + 4 - 7)/8
= 36 5/8
Given that 1/16 inch is wasted in the process, the remaining length would be
= 36 5/8 - 1/16
= 36 10 - 1/16
= 36 9/16 inches
which function has a domain of all real numbers
please answer accurately I need this to pass my class. thank you.
Answer:
a.y=-x½+5
Step-by-step explanation:
from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½
what is the square root of -1
Answer:
i
Step-by-step explanation:
Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.
Also, a negative number times another negative number, is a positive number. -2 * -2 = 4
With both of those true, then what number could be multiplied by itself to equal a negative number? i.
i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].
Hope that this helps!
PLZZZZZZ HELPPPPP!!!!!!
Answer:
1
Step-by-step explanation:
1/2×2 = 2/2 = 1
_____________________
Help help help help
Which of the following is the quotient of the rational expressions shown below?
Answer:
A
Step-by-step explanation:
multiple across
5 * 6 = 30
2x+1 * x = 2x^2 + x