Answer:
12 out of 40 or in simplist terms 3/10
I will mark brainliest!!
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = x^2}}[/tex]
[tex]\huge\boxed{\mathsf{x^2 = \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\rm{ \ TAKE \ your \ SQUARE \ ROOT}}}[/tex]
[tex]\huge\boxed{\mathsf{x = \pm \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\ \rm{The \ symbol\ \boxed{\pm}\ means \ plus \ or \ minus, so \ that \ means}}}\\\large\boxed{\boxed{\rm{either \ the \ result \ will \ be \ \underline{\underline{positive}} \ or \ \underline{\underline{negative}}}}}}}\large\checkmark[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = -\sqrt{121}}}[/tex]
[tex]\huge\boxed{\sqrt{121} = \bf 11}[/tex]
[tex]\huge\boxed{\mathsf{-\sqrt{121} = \bf -11}}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{x = -11 or x = 11}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help!! I’ll mark brainly list but explain
Answer:
0.125
Step-by-step explanation:
(4)(-2)-3(-3)/3+5=
1/8=
0.125
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
let's evaluate :
[tex] \dfrac{(4a - 3b) {}^{3} }{c + 5}[/tex]In the given expression, let's plug the value of
a = -2 b = -3c = 3so,
[tex] \dfrac{ \{(4 \times (- 2)) - (3 \times (- 3)) \} {}^{3} }{3 + 5}[/tex][tex] \dfrac{ \{ - 8 - ( - 9) \} {}^{3} }{8}[/tex][tex] \dfrac{ \{ - 8 + 9 \} {}^{3} }{8}[/tex][tex] \dfrac{(1) {}^{3} }{8} [/tex][tex] \dfrac{1}{8} [/tex]A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?
The cost can be optimized by using a Linear Programming given the linear constraint system
To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteriaReason:
Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)The boundary of the feasible region are;
(20, 70)
(20, 53.[tex]\overline 3[/tex])
(60, 0)
(60, 70)
The cost are ;
[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]
Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type IILearn more here:
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question is in the photo.
[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]
[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]
[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]
Answer:
[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]
Plz help it’s due tonight!!!
Answer:
B
Step-by-step explanation:
DE is the line that has two ticks through it - the same as FG
the next line goes through the hypotenuse and it is EG for the first triangle and GE for the second
the last line goes through the line with one tick: GD and EF; the points G and D are at the ends of the first part of the congruence statement. the points E and F are also at the ends of their congruence statements
thus the answer is B
please help me solve x please
Answer:
x = 5
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In the given problem, the exterior angle is < B, and the non-adjacent interior angles are < D and < C.
Given that:
< B = 12x + 8
< D = 8x + 8
< C = 20°
Set up the following formula to solve for x:
(8x + 8) + 20 = 12x + 8
Combine like terms:
8x + 28 = 12x + 8
Subtract 8 from both sides:
8x + 28 - 8 = 12x + 8 - 8
8x + 20 = 12x
Subtract 8x from both sides:
8x - 8x + 20 = 12x - 8x
20 = 4x
Divide both sides by 4 to solve for x:
20/4 = 4x/4
5 = x
Therefore, x = 5.
find the length of the hypotenuse of the right triangle. leave your answer in simplest radical form. not drawn to scale.
Answer:
it need to =90
Step-by-step explanation:
a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?
Answer:
5120 tiles.
Step-by-step explanation:
Do one thing.
Find out the area of the rectangular hall.
Find out the area of the marble slab.
Remember, the units are to be made same.
Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.
Calculations-
Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.
Area of one marble tile = 25 x 15 = 375 sq. cm.
Now you divide the numbers and get 5120 tiles.
describe and find the slope of the line
Which of the following best describes the slope of the line below?
O A. Zero
B. Negative
C. Positive
D Undefined
Answer:
B
Step-by-step explanation:
going down on the right
Answer:
B
Step-by-step explanation:
Aline with zero slope is a horizontal line parallel to the x- axis
A line with undefined slope is a vertical line parallel to the y- axis
A line sloping upwards from left to right has a positive slope
A line sloping downwards from left to right has a negative slope.
The line shown slopes downwards from left to right and has a negative slope
Which quadratic equation contains the three points (-4,12), (2,42), and (3,40)
The quadratic equation that contains the three points is y = -x² + 3x + 40
A quadratic equation is in the form:
y = ax² + bx + c
At point (-4, 12):
12 = a(-4)² + b(-4) + c
16a - 4b + c = 12 (1)
At point (2, 42):
42 = a(2)² + b(2) + c
4a + 2b + c = 2 (2)
At point (3, 40):
40 = a(3)² + b(3) + c
9a + 3b + c = 40 (3)
Solving equation 1, 2, and 3 gives:
a = -1, b =3, c = 40
y = -x² + 3x + 40
Hence the quadratic equation is y = -x² + 3x + 40
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What is the constant of proportionality of this sentence? Sarah bought 3 pounds of grapes for $2.25. Ban bought 4 pounds of grapes for $3.00.
Answer:
75
Step-by-step explanation:
Each pound costs 75¢ so by each pound it increases by 75¢
Which expressions represent the product of a variable and a coefficient?
Answer:
dfhlfbfuewbbfv
Step-by-step explanation:
Answer: There is not variables?
Step-by-step explanation:
Pamela is 7 years younger than Jiri. The sum of their ages is 63. What is Jiri's age?
Answer: 35
Step-by-step explanation: (lol I read the question wrong). Basically subtract 7 from 63, then divide 56 by 2 to find Pamela’s age. Then add 28+7 because Jiri is 7 years older than Pamela
what is (m−3+4n)⋅(−8)=−8m+24−32n
Answer:
-8m+24-32n
Step-by-step explanation:
8×m,-3and 4n
Help help me pleaseee and thanks
Answer:
10
Step-by-step explanation:
sqrt. 100 = 10
because base x height = area
base and height must be same length in a square
2c–8°, 3c–14°, and c+15°
solve for c
Answer:
Simplifying
c + -2 = 3c + 14
Reorder the terms:
-2 + c = 3c + 14
Reorder the terms:
-2 + c = 14 + 3c
Solving
-2 + c = 14 + 3c
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3c' to each side of the equation.
-2 + c + -3c = 14 + 3c + -3c
Combine like terms: c + -3c = -2c
-2 + -2c = 14 + 3c + -3c
Combine like terms: 3c + -3c = 0
-2 + -2c = 14 + 0
-2 + -2c = 14
Add '2' to each side of the equation.
-2 + 2 + -2c = 14 + 2
Combine like terms: -2 + 2 = 0
0 + -2c = 14 + 2
-2c = 14 + 2
Combine like terms: 14 + 2 = 16
-2c = 16
Divide each side by '-2'.
c = -8
Simplifying
c = -8
Step-by-step explanation:
A scale model of a bus is 12 inches long. The scale is 1:21. How many inches long is the bus it
represents?
its 304.8 milimeter
The actual length of the bus that the scale model represents is 252 inches.
To find the actual length of the bus represented by the scale model, you can use the scale ratio.
Given:
Scale model length = 12 inches
Scale ratio = 1:21
Let "x" be the actual length of the bus.
Using the scale ratio:
Scale model length / Actual length = Scale ratio
12 inches / x inches = 1/21
Now, solve for "x":
x = 12 inches / (1/21)
x = 12 inches × 21
x = 252 inches
Therefore, the actual length of the bus that the scale model represents is 252 inches.
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(x^2 + 2x + 2)(x + 5) = 0
I am cooking a recipe. It requires 7/2 of sugar. I only have a 1⁄4 cup to measure the sugar with. How many quarter cups would I need to measure the correct amount of
Answer:
14
Step-by-step explanation:
Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator
[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]
You now divide the fractions to find the amount of correct measurements needed.
[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.
This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]
You will need 14 correct measurements.
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
7200
Step-by-step explanation:
The number was 72. you move the decimal 2 places to the right (left if it was negative) There are no numbers there. So you add 0's .
(Sorry if I did not explain good enough. I am not very good at explaining things.)
50 points answer now
Answer: x3+y3+z3=k
Step-by-step explanation:
x3+y3+z3=k
You're welcome mr/ms
Which of the following represents the function graphed? F(x)=1/2 x f(x)=x f(x)= x+2
Evaluate (2-5i)(p+q)(i) when p= 2 and q=5i
Answer:
it's 25qr 78 5×4 and then 12÷5= 2r28
I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?
0.35
0.05
0.015
3.0
500
In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?
y = - 2/3x + 3
y = -3/2x - 1
y = 2/3x - 1
y = 3/2x + 2
y = 2/3x + 1
a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.
b. 2y = 3x + 1
y = 3x/2 + 1/2
Perpendicular = negative reciprocal of original function's slope.
3/2 -> -2/3x.
Only the first one fulfills the equation, thus:
-2/3x + 3.
(1) The slope of line b is 0.35. The correct option is A.
(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.
The slope of line b,
b = 0.2 + a
b = 0.2 + 0.15
b = 0.35
(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-
The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,
y = -2/3x + 3
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A piano has a length of 8 feet and a width of x+2 feet, write an expression in simplest form of the perimeter of the piano.
Answer: 2(x + 10)
Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together
16 + 2x + 4
2x + 20
Now you have to take out the highest common factor which is 2
So it will be 2(x + 10)
what is x/y+z=w to make x the subject of the formula
We can make x the subject of the equation by moving all the other terms to the opposite side of the equal sign while x is on the next.
x/y+z=w [multiply both sides by y+z]
x = w (y + z)
Please help I have 20 minutes to turn this in
Answer:(-6,30)
Step-by-step explanation:
x=-6
y=30
Answer: (-6,30)
Step-by-step explanation:
-5x=-x+24
+x=+x
-4x=24
÷-4=÷-4
X=-6
Y=-5x
Y=-5(-6)
Y=30
(-6,30)
solve the inequality x/2-5>4
Answer:
x>18
Step-by-step explanation:
[tex]\frac{x}{2} -5>4\\\\\\\frac{x}{2} >9\\\\\\\\x>9(2)\\\\\\x>18[/tex]
PLEASE HELP IM STUCK ON THIS ONE
Answer:
1. 1/200
2. 15/2
3. 11/36
4. 8/5
Step-by-step explanation: