Answer:
To factor a trinomial in the form ax2+bx+c a x 2 + b x + c , find two integers, r and s, whose sum is b and whose product is ac. Rewrite the trinomial as ax2+rx+sx+c a x 2 + r x + s x + c and then use grouping and the distributive property to factor the polynomial.
Step-by-step explanation:
I don't know what did i wrote there.
A rectangular tank 160 cm long and 80 cm wide is filled with some water. John puts a cube with side 40 cm long into the water. What is the rise in water level if the cube is completely immersed?
Answer:
The water level would rise by [tex]5\; \rm cm[/tex].
Step-by-step explanation:
Assume that the initial water level is [tex]h\; \rm cm[/tex].
Before the cube was placed in the tank, the volume of the water was the same as the volume of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a height of [tex]80\; \rm cm[/tex], and a height of [tex]h\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times h\; {\rm cm} \\ =\; & (80 \times 160) \, h \; \rm cm^{3} \end{aligned}[/tex].
Let the rise in the water level in the tank be [tex]x\; \rm cm[/tex]. The new water level would be [tex](x + h)\; \rm cm[/tex].
The volume of the water and the submerged cube, combined, would be the same as that of a rectangular prism with a length of [tex]160\; \rm cm[/tex], a width of [tex]\rm 80\; \rm cm[/tex], and a height of [tex](x + h)\; \rm cm[/tex]:
[tex]\begin{aligned} & 160\; {\rm cm} \times 80\; {\rm cm} \times (x + h)\; {\rm cm} \\ =\; & (80 \times 160) \, (x + h) \; \rm cm^{3} \end{aligned}[/tex].
In other words:
Volume of water in this tank: [tex](80 \times 160)\, h\; \rm cm^{3}[/tex], whereasVolume of water in this tank, plus the volume of the submerged cube: [tex](80 \times 160) \, (x + h) \; \rm cm^{3}[/tex].Therefore, the volume of the submerged cube could be expressed as:
[tex]\begin{aligned} & (80 \times 160) \, (x + h) \; {\rm cm^{3}} - (80 \times 160) \, h \; \rm cm^{3} \\ =\; &(80 \times 160)\, x\; {\rm cm^{3}}\end{aligned}[/tex].
On the other hand, the volume of the cube could be expressed as:
[tex](40\; \rm cm)^{3} = 64000\; \rm cm^{3}[/tex].
Equate these two expressions for the volume of the cube and solve for [tex]x[/tex], the rise in the water level in the tank:
[tex](80 \times 160)\, x = 64000[/tex].
[tex]x = 5[/tex].
In other words, the rise in the water level in this tank would be [tex]5\; \rm cm[/tex].
What are the solutions of the following system?
[x2 + y2 = 25
2x+y=-5
0 (0,-5) and (-5, 5)
O (0, -5) and (5, -15)
O (0,-5) and (-4, 3)
O (0, -5) and (4, -13)
Answer:
5h-fgtx56=y2-6
Step-by-step explanation:
sorry if wrong:(
A nut-raisin mix costs $5.26 per pound. Rashid buys 15.5 pounds of the mix for a party. Rashid’s estimated cost of the nut-raisin mix is
$81.53 is the cost of nut-raisin mix
please help!!!!!!!!!
Answer:
110
Step-by-step explanation:
First, find the perimeter of 1 fence.
55/2 or [tex]27\frac{1}{2}[/tex]
Multiply by the number of fences (4)
110
I hope this helps!
Loretta earns $10 a week
and puts $7.50 a week
into savings account and spends
the rest. How much does she
spend in six weeks?
-.0666
Rational or
Irrational?
WHY
Answer:
It's irrational
Step-by-step explanation:
An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.
Answer:
Rational
Step-by-step explanation:
Irrational numbers go on FOREVER.
An example is
1. π
2.[tex]\sqrt{2}[/tex]
....
Surds are irrational. A surd is a square root of a number that goes on forever.
Some irrational numbers have recurring digits (repeating digits)
10/3 is an example:
3. 333333333333333333333333333333333333333333............
Please Help Please !!!!!!!
Answer:
I wish I could but I think its c
K = [ 14 -13 0 3 8 -1 -10 -2 5 ] find the determinant of K
I suppose K is the matrix
[tex]K = \begin{bmatrix}14 & -13 & 0 \\ 3 & 8 & -1 \\ -10 & -2 & 5\end{bmatrix}[/tex]
To compute det(K), you can use a simple cofactor expansion along the first row:
[tex]\det(K) = 14\times\det\begin{bmatrix}8 & -1 \\-2 & 5\end{bmatrix} - (-13)\times\det\begin{bmatrix}3 & -1 \\ -10 & 5\end{bmatrix} + 0\times\det\begin{bmatrix}3 & 8 \\ -10 & -2\end{bmatrix} \\\\ \det(K) = 14\times(8\times5-(-1)\times(-2)) + 13\times(3\times5-(-1)\times(-10)) + 0 \\\\ \det(K) = 14\times38 + 13\times5 = \boxed{597}[/tex]
Find the area of this figure. round your answer to the nearest hundredth.
Answer:
49.12 ft^2
Step-by-step explanation:
The triangle:
Area = 1/2 * base * height
= 1/2 * 6 * 8
= 24
The semicircle:
Area = 1/2 * 3.14 * 4^2
= 25 .12
Total area = 24 + 25.12
= 49.12 fT^2
If f(x) = 3x +5/x what is f(a+2)?
In exercises 1-2, solve the formula for the indicated variable.
1: Surface area of a cylinder: S=2πr^2+2πrh: Solve for h.
2: Area of a trapezoid: A=1/2h(b1 + b2); Solve for b2.
The 1 and 2 are supposed to be under to the side of b like this.
Answer:
area of a trapezoid A =1Step-by-step explanation:
2
Is this correct i am not sure
Answer:
YesStep-by-step explanation:
Collinear points are the points on the same line.
We see that points E, B and F are part of same line n.
Your answer is correct.
Answer:
EBF points are coplaner
Step-by-step explanation:
Coplaner points are the points which are ColinearThey are situated in one line .There are 6 times as many dogs as cats . If the total number of dogs and cats is 21 , how many dogs are there?
Answer:
126 cats .................
126 dogs........
14 644 552 + 25 625 568
ayud estoy haciendo tarea :3
Answer:
14644552+25625568
=40270120
Step-by-step explanation:
is right answer
Solve for the value of R
Answer:
13
Step-by-step explanation:
Since the angles form 180 degrees, it will be what the equation is equal to.
Make the equation:
8r + 5 + 5r + 6 = 180
Combine like terms:
8r + 5 + 5r + 6 = 180
13r + 5 + 6 = 180
13r + 11 = 180
Solve:
13r + 11 = 180
-11 -11
---------------------
13r = 169
------ ------
13 13
r = 13
Hope this helped.
evaluate the expression -(5/7)^0
Answer:
1
Step-by-step explanation:
If you can make 12 cookies in 10 minutes, how long does it take to make 200 cookies
Answer:
12 cookies = 10minutes
200 cookies = x minutes
cross multiply
200×10 = 12x
2000= 12x
divide both sides by 12
X = 166.67 minutes
Step-by-step explanation:
that is 200 cookies will take 166.67 minutes
Answer:
[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]
PLEASE HELP POINTS AND BRAINLIEST WILL BE GIVEN
Answer:
- 376
Step-by-step explanation:
8u = 8(- 8i + 3j ) ← multiply each element by 8
= - 64i +24j
Then
(- 64i + 24j ) • (4i - 5j )
= (- 64 × 4) + (24 × - 5)
= -256 + (- 120)
= - 256 - 120
= - 376
please help will give you brainly
Answer:
-1/2
Step-by-step explanation:
3(y+13 )=36
y+13=12
y=-1
(1/2) x -1 = -1/2
3(y + 13) = 36
Distribute the 3
3y + 39 = 36
Subtract 39 from both sides.
3y = -3
Divide both sides by 3
y = -1
1/2y = 1/2(-1) = -1/2
Find the area of this triangle. Round to the nearest tenth. 8m, 62°, 12m.
9514 1404 393
Answer:
42.4 m²
Step-by-step explanation:
The area can be found from the formula ...
Area = 1/2ab·sin(C)
Area = (1/2)(8 m)(12 m)sin(62°) ≈ 42.4 m²
c(ge + p) = n +j
Solve for c: C=
Answer:
[tex]c(ge + p) = n + j \\ \\ \frac{c(ge + p)}{(ge + p)} = \frac{n + j}{(ge + p)} \\ \\ { \boxed{ \boxed{c = \frac{n + j}{ge + p} }}}[/tex]
Could you help please i really dont get it
Answer:
[tex]3.4 \: apple \: pounds = 5.61 \: dollars \\ 1 \: apple \: pound = \{ \frac{(1 \times 5.61)}{3.4} \} \: dollars \\ \\ = { \boxed{ \boxed{1.65 \: dollars \: per \: pound}}}[/tex]
Answer:
1.65
Step-by-step explanation:
5.61/3.4=1.65
PLEASE HELP MARKING BRAINLIEST
solve for x. y = 1/3 (x + w)
How to solve -3/9 + ( -2 9/10)
[tex] - 3 \sqrt{8 + ( - 2 \times \frac{9}{10} } [/tex]
9514 1404 393
Answer:
-3 7/30-7.46994Step-by-step explanation:
We understand this to be two separate problems.
-3/9 +(-2 9/10) = -(3/9 +2 9/10)
= -(10/30 +87/30) = -97/30 = -3 7/30
__
-3√(8 +(-2(9/10))) = -3√(8 -1.8) = -3√6.2 ≈ -7.46994
__
Additional comment
A calculator can help with these, especially if it is able to deal with rational numbers. (Many graphing calculators and some scientific calculators will do that more or less nicely. My favorite Android calculator app makes arithmetic with fractions and mixed numbers very easy.)
Using BODMAS, I think but please help!!!
And show the steps
Answer:
= 12
Step-by-step explanation:
2 × {4 ÷ 2 -5}^2 -6
Solve the brackets first
2 × { 2 -5}^2 -6
2 ×{-3 }^2 -6
2 × 9 -6
18 -6
= 12
Step-by-step explanation:
[ 4 ÷ 2 - 5 ] ² - 6
(2 - 5)² - 6
(-3)² - 6
9 - 6
= 3
Hello Brainly User please help me I will mark brainliest. Its really east math please help me
5 + (-8) - (-10)
please help
Answer:
-7
Step-by-step explanation:
5 + (-8) - (-10)
5 - 8 + 10
-3 + 10
7
Answer:
7
Step-by-step explanation:
TUrns into 5-8-(-10)
5-8+10
PEMDAS the answer and youll get 7
Evaluate expression
a) -19 + 3(-13 + 4*3)
b) | -7(2) |
c) 15 – 3 | - 4-2 |
Answer:
well i know the first one
-19+3(-13+4*3)
= -19+3(-13+12)
= -19+3(-1)
= -19-3
= -22
if (a^-1+b^-1)(a+b)^-1=a^mb^n.prove that a^(m-n)=1.
Answer:
46666
Step-by-step explanation:
