Answer:
0.4 bottles can be filled
Step-by-step explanation:
divide the amount that is present by the max amount
the bottle can only hold 5.55 millimeters; therefore the max amount would be 5.55 millimeters.
the amount that is present is 2.22 millimeters.
[tex]\frac{222 millimeters}{555 millimeters} = 0.4[/tex]
0.4 bottles
if the given values are 555 and 222 then the answer is still .4
Answer:
0.4 bottles can be filled
Help with Pre Calculus
Answer:
The first option
Step-by-step explanation:
The domain of a rational function should be all real numbers except for when the denominator is equal to 0. To find when the denominator is equal to 0 you simply need to find the zeroes of the denominator... but in this case you can do that through factoring and using the quadratic equation.
So first step is going to be to factor out the GCF, which in this case is x. This gives you the equation. [tex]x(2x^2-x-15)[/tex]. So one of the zeroes is when x=0. Now to find the other two zeroes you can use the quadratic equation which is [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\[/tex]. So to find the other zeroes you simply plug the values in. a=2, b=-1, c=-15
[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(-15)}}{2(2)}\\\\x=\frac{1\pm\sqrt{1-4(2)(-15)}}{4}\\\\x=\frac{1\pm\sqrt{121)}}{4}\\\\x=\frac{1\pm11}{4}\\\\x=\frac{12}{4}\\x=3\\\\x=\frac{-10}{4}\\x=-\frac{5}{2}[/tex]
Which best describes the function on the graph?
O direct variation; k =1/4
O direct variation; k = 4
O inverse variation; k =1/4
O inverse variation; k = 4
The option that best describes the graphed function is: D. inverse variation; k = 4
What is an Inverse Variation?Given two variables x and y has an inverse variation, the equation that models the relationship of the inverse variation is: y = k/x, where k = xy.
This means that as x increases, y decreases. This is the same for the graph given. So, it is an inverse variation.
When x = 2, y = 2. Therefore:
k = (2)(2)
k = 4
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HELPPPP RIGHT NOW !!!!!!!!!
The equation can be used to find the time it took student to hike the trail will be 3t= 5(3-t)
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The formula for the distance for the to and fro motion is;
x= v × t
The total time required for to and fro motion is;
[tex]\rm t_1 + t_ 2 = 3 \\\\ \frac{x}{v_)1} +\frac{x}{v_2}=3 \\\\ \frac{x}{3} +\frac{x}{5}= 3 \\\\ x = \frac{45}{8} \\\\ x = 3 \times \frac{15}{8} \\\\\ x =v \times \frac{15}{8} \\\\ x = v \times t[/tex]
From the equation B;
3t= 5(3-t)
3t=15-5t
8t=15
t=15/8
The equation can be used to find the time it took Stu to hike the trail will be 3t= 5(3-t)
Hence option B is correct.
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Fatoumata just accepted a job at a new company where she will make an annual salary of $43000. Fatoumata was told that for each year she stays with the company, she will be given a salary raise of $5000. How much would Fatoumata make as a salary after 3 years working for the company? What would be her salary after tt years?
Fatoumata's salary after 3 years will be $58,000.
Fatoumata's salary after tt years will be $43,000 + (5,000tt).
What is Fatoumata's salary?
The linear equation that can be used to determine Fatoumata's salary after the passage of time is:
Initial salary + (yearly increase x number of years)
$43,000 + 5000t
$43,000 + 5000(3) = $58,000.
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Find the measure of angle AEC.
Answer:
∠ AEC = 49°
Step-by-step explanation:
the sum of the angles in Δ ACE = 180° , that is
∠ AEC + 90° + 41° = 180°
∠ AEC + 131° = 180° ( subtract 131° from both sides )
∠ AEC = 49°
Answer:
49°
Step-by-step explanation:
<AEC = 180°_(41°+90°)
=180°_131°
<AEC= 49°
**90° (Complementary Angles)**
[And if u add: 41°+90°+49°= 180°]
{180° is the area of all triangles}
Hope I helped :)
whats the answer to this? I don't know how to do it but i need to factor it completely with whatever method gies with it.
Answer:
3x²y²(1 - 4xy²z)
Step-by-step explanation:
________________________________________
Factor 3 out of 12
Factor x² out of x³
Factor y² out of y⁴
you will get the GCF of 3x²y² and left with (1 - 4xy²z)
3x²y²(1 - 4xy²z)
________________________________________
Hoped this helped
NEED SOME HELP ASAP PLEASE!!
Step-by-step explanation:
if it is cloudy, then it is snowing. False. This is obviously not true since sometimes it's just cloudy and it's also cloudy when it rains.
all quadrilaterals are rectangles. False. A quadrilateral has four straight sides which don't have to be parallel to each other unlike a rectangle which has four straight sides with all four sides being parallel to one other side.
All chocolates like students? False? Not sure if I'm writing the converse correctly for this one but if I am this isn't true because chocolate doesn't have feelings...
All triangles with two or more congruent angles are a right triangle. False. This is only true when those two congruent angles add up to 90 which is when they're both 45. But they could also both be 30, 29, 28, etc... which won't result in a right triangle.
Answer:
If it is cloudy, then it is snowing.
Counter-argument: It can be cloudy in the summer.
If a figure is a quadrilateral, then it is a rectangle.
Counter-argument: Trapezoids are not rectangles.
If someone likes chocolate, then they are a student.
Counter-argument: many people like chocolate who are not students.
If a triangle has 2 or more congruent angles, then it is a right triangle.
Counter-argument: Equilateral tr6iangles have 3 congruent angles.
None are right angles.
Step-by-step explanation:
Converse statements reverse the If Then in the original.
How do u calculate pythagoras therorem
Answer:
a^2+b^2=c^2
Step-by-step explanation:
You can apply this formula to any quadratic equation.
The Pythagorean Theorem is basically a way to find the side of a right triangle from the other two sides.
Take a look at this triangle labeled, a, b, c. (attachment)
Side a and b are called the legs. The largest side, c is called the hypotenuse.
In order to find a side, we have to use the formula…
a^2 + b^2 = c^2Let’s do an example.
Consider the following triangle.
(attachment)
We want to find side c, which is actually the hypotenuse as it is unknown.
In order to find the missing side, we have to use the formula or the Pythagorean theorem. We substitute our values into a and b, while leaving the c-side as it is because that is what we are trying to find.
[Math Processing Error]
What does 13=c mean? It means that the missing side, c, from the triangle above is 13.
2. Liam can work at most 20 hours a week but he needs to earn at least $125. His dog-walking job pays.
$7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125? I
Write a system of inequalities to represent this situation.
Answer:
Look down below and you will know the answer↓:
Step-by-step explanation:
He will have to work as between the range (of 20,0) and (0,20) points to earn more than $125.
So, What is inequality?
Inequality means is the relationship between two expressions that are not equal, so employing a sign such as ≠ “is not equal to,” > “greater than,” or < “less than.”.
Since then: Liam can work at most 20 hours a week, but he also needs to earn at least $125. His dog-walking job pays $7 per hour and his job as a car-wash attendant pays $11 dollars an hour. How can he earn $125.
He Let the Dog walking hours are represented by x and Car wash hours will be represented by y. The inequality will be formed as:
7x + 11y ≥ 125
x+y = 20
When we plot these two equations on the graph, we will get the range for the time from (20,0) and (0,20).
We Suppose that we will take a random point-like (5,15) when we put this value in the inequality, we get the total earning greater than $125.
7x + 11y ≥ 125
7 (5) + 11 ( 15 ) ≥ 125
35 + 165 ≥ 125
200 ≥ 125
Therefore, He has to work between the range (of 20,0) and (0,20) points to earn more than $125.
Mark me as brainlist, thanks me, and rate. Hope it helps you!!!A set of equations is given below.
Equation C: y = 7x + 12
Equation D: y = 7x + 2
How many solutions are there to the given set of equations?
O One solution
OTwo solutions
O Infinitely many solutions
O No solution
Answer:
2
Step-by-step explanation:
lucky guess from my boi tony
Find the value of x to the nearest tenth.
Answer: 44
What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?
[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!
[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.
C is cosine and T is tangentA is adjacent side lengthAs stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.
Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.
The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.
Write this equation down and use your calculator to solve for x:
*make sure your calculator is in degrees*
tan (54°) = [tex]\frac{x}{32}[/tex]
32 × tan (54°) = x
44.04 ≈ 44 =x
Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
1/7 -3(3/7n-2/7)
The expression 1/7 – 3(3/7n – 2/7) is equivalent to the expression 1 – 9/7n.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ 1/7 – 3(3/7n – 2/7)
On simplifying the expression, we have
⇒ 1/7 – 9/7n + 6/7)
⇒ 1 – 9/7n
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Answer:
-9/7 n + 1
Step-by-step explanation:
On khan
Which sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent?A)reflection and dilationB)reflection and rotationC)rotation and reflectionD)translation and rotation help please
The sequence of transformations will be relection and dilation. Then the correct option is A.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself and it maintains some spatial correlation between figures.
The sequence of transformations would yield a trapezoid similar to the original trapezoid but not congruent.
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
Dilation does not change the shape but changes the size of the geometry.
Then the correct option is A.
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3. Error Analysis A classmate began an indirect
proof as shown below. Explain and correct
your classmate's error.
Given: AABC
Prove: LA is obtuse.
Assume temporarily that LA is acute.
Which of the following is an example of a quadratic equation?
A. y = 216+6
B. x²-64 = 0
C. y = 4x+6
D. x+10 = 33
Answer: B
Step-by-step explanation:
A quadratic equation has degree 2.
Last Monday the temperature changed at a rate of -3 F per hour. How long did it take for the change in temperature to be -21 F?
Answer:
7 hours
Step-by-step explanation:
just multiply 3 and 7 to get 21
Answer:
[tex]\fbox {7 hours}[/tex]
Step-by-step explanation:
⇒ Rate = -3F/hour
⇒ Starting : -21F
Solving :
⇒ -21/-3
⇒ 7 hours
I need help with this math question (pic induced)
Answer:
A
Step-by-step explanation:
Set the equation equal to bx.
[tex](3x + 3)(ax - 2) - {x}^{2} + 6 = bx[/tex]
[tex]3a {x}^{2} - 6x + 3ax - 6 - {x}^{2} + 6 = bx[/tex]
Cancel out the constants
[tex]3 {ax}^{2} - 6x + 3ax - x {}^{2} = bx[/tex]
In order to cancel out the quadratics, we must solve for a.
[tex]3 {ax}^{2} - {x}^{2} = 0[/tex]
[tex]3 {ax}^{2} = {x}^{2} [/tex]
[tex]3a = 1[/tex]
[tex]a = \frac{1}{3} [/tex]
So plug in 1/3 for a.
[tex]3( \frac{1}{3} ) {x}^{2} - 6x + 3( \frac{1}{3} )x - {x}^{2} = bx[/tex]
[tex] - 6x + x = bx[/tex]
[tex] - 5x = bx[/tex]
[tex]b = - 5[/tex]
Solve: −4b+4b≥6(−5b+7)−3(b+3)
Answer:
Inequality Form:
b ≥ 1
Interval Notation:
[1,∞)
Step-by-step explanation:
You find a wooden shelf 4½ feet long. You want to cut it to make two smaller shelves. One will be 1¼ feet long, the other, 2⅜ feet long. Is the uncut shelf long enough? Explain your answer.
The length of the uncut shelf is not long enough.
Given a wooden shelf 4½ feet long.
The length of two small shelves is 1¼ and 2⅜ feet long respectively.
To find an uncut shelf long enough or not subtract shelf's piece length from the total length of the wooden shelf length.
The length of an uncut shelf can be calculated as:
⇒1¼ + 2⅜+x= 4½
⇒5/4 + 19/8 + x = 9/2
To solve this equation make variable and constant different sides.
⇒x= 9/2-5/2-19/8
⇒x=2-19/8
⇒x=-3/8
The length of the uncut shelf is -3/8 feet, which is not valid (∵ Length cannot be negative).
∴ The length of the shelf is not long enough.
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Workers in an office of 40 staff were asked
their favourite type of take-away.
The results are summarised in the table.
Take-away
Pizza
Curry
Fish & chips
Kebab
Other
Frequency
9
6
11
10
4
Angle
a
b
с
d
e
What fraction of a person is one degree?
Give your answer in its simplest form.
Answer:
1/
Step-by-step explanation:
There are 360 degrees in a circle. There are 40 people in this survey. Each person is 9 degrees, so 1 degree is 1/9 of a person.
what is equivalent to y= a (x-h) +k
Answer:
See below
Step-by-step explanation:
I think you meant
y= a (x-h)^2 +k
this is the vertex form of a parabola with vertex (h,k)
a rectangular prism is 5m long, 4m wide, and 6m hight. what is the sum of the lengths of its edges?
Answer:
60
Step-by-step explanation:
4(5+4+6)
4(15)
60
Question 4 of 10
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B and D
Step-by-step explanation:
A is not a intersecting angles they are like doodles, B makes intersecting lines, C doesnt intersect properly its only like a Y with and extra angle and D is absolutely perfect. So, thats why its B and D
They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.
If they decide to double the width to create the family-sized box, by what factor must they increase the height?
Answer:
Given that A cereal manufacturer decides to offer a new family-sized box based on the regular-sized box. They want the volume of the family-sized box to be three times the volume of the regular-sized box. However, they want the length of the family-sized box to be the same as the regular-sized box.
If original dimensions are l,w and h then volume = lwh
Volume of new box is= 3lwh
But here w becomes 2w and l remains the same. Let h' be the new height
Then we have
So by 1.5 factor height should be dilated.
Step-by-step explanation:
Is this pattern a net for the three-dimensional figure?
no
yes
Answer:
yes
Step-by-step explanation:
2 bases 3 rectangles, folds properly.
Thankyou guys for all your help….I need help with one more plsss
Round to the nearest tenth
I don't understand your question
PLS HELP ME OUT THANK YOU I’m studying for my mid-term!!
Answer:
∠ ABD = 20°
Step-by-step explanation:
since BD bisects ∠ ABC , then
∠ ABD = ∠ CBD ( substitute values )
3x - 1 = 34 - 2x ( add 2x to both sides )
5x - 1 = 34 ( add 1 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
Then
∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°
A company manufactures school desks. The table shows the number of units that the company sold each month over a nine-month period
beginning in January.
Month, x
Units, y
Which equation best models the situation?
1
800
2
500
3
400
4
300
5
200
6
300
7
450
8
600
9
800
Based on the values of x and y for the company and its school desks, the equation that best models the situation is D. y = 34x² - 334x + 1,075.
How does this equation model the situation?The best equation would be the one that gives the closest value of y to the value of the actual value of y on the table.
The first two equations can be ruled out because the table shows that this is not a linear model as there is no constant rate of change.
Test the other two equations:
x=1:
y = -34(1)² + 334(1) + 1,075
= 1,075
This is too high.
Other equation:
y = 34(1)² - 334(1) + 1,075
= 775
This is close to 800 so this is the best equation.
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Solve for x.
x2 + 2x + 1 = 0
Answer:
x = -1
Step-by-step explanation:
factor and you get
(x + 1)(x + 1) or (x + 1)^2
now set it equal to zero
x + 1 = 0
subtract one from both sides
x = -1
Answer? Having trouble understanding this question
Answer:
[tex]\frac{k+5}{k-2}[/tex]
Step-by-step explanation:
[tex]\frac{1-\frac{25}{k^2} }{1-\frac{7}{k}+\frac{10}{k^2} }[/tex]
multiply numerator and denominator by k² to eliminate fractions
= [tex]\frac{k^2-25}{k^2-7k+10}[/tex] ← factor numerator and denominator
------------------------------
k² - 25 ← is a difference of squares
= (k - 5)(k + 5)
k² - 7k + 10
= (k - 5)(k - 2)
------------------------------
= [tex]\frac{(k-5)(k+5)}{(k-5)(k-2)}[/tex] ← cancel (x - 5) on numerator / denominator
= [tex]\frac{k+5}{k-2}[/tex]
