Answer:We have,
f(x,y,z)=2x
2
+y
2
+2z=3
∂x
∂f
=4x,
∂x
∂f
=2y,
∂x
∂f
=2z
Step-by-step explanation:
good luck :}
ANSWER ASAP GOR BRAINLIEST
Answer:
No solution
Step-by-step explanation:
Both lines have slope -1/3.
The lines are parallel and never intersect.
There is no single point that is on both lines.
Therefore, there is no solution.
Answer: No solution
Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you.
Two contestants on Get Fit TV Show are Valerie and Oscar. Their weight loss progress is shown below.
Valerie's weight loss is shown by this function, where W is her weight in pounds and t is the time in weeks.
W=235−2.5t
Oscar's weight loss is tracked in the table below.
Weeks 0 2 5 6
Weight 247 243 237 235
True or False: Oscar is losing weight faster than Valerie
How cool is that! I love real-life problems, do you?
V = 236 - 2.5t
O = 0, 2, 5, 6
247, 243, 237, 235
So let's try substituting some numbers in for Valerie. Let's do 0, 2, 5 and 6 to compare them to Oscar.
V = 236 - 2.5(0)
V = 236
She started at a lesser weight than Oscar.
Week 2:
V = 236 - 2.5(2)
V = 236 - 5
V = 231
So already, at week 2, Valerie lost 5 pounds compared to her first weight. Oscar lost 4 pounds. Valerie is losing weight faster than Oscar.
Week 5:
V = 236 - 2.5(5)
V = 236 - 12.5
V = 223.5
From week 2, she lost 12.5 pounds. Oscar lost 6 pounds. Looks like Valerie is losing weight faster!
So now, week 6.
V = 236 - 2.5(6)
V = 236 - 15
V = 221
Valerie lost 2.5 pounds compared to week 5.
Oscar lost 2 pounds compared to week 5.
True or False: you decide! :)
Solve the following word problem by setting up systems of equations: Rob hosted a party last week. He purchased 24 pizzas and 24 sodas for $282.00. This week he purchased 15 pizzas and 8 sodas for $157.00. Determine the cost for each pizza and soda.
Answer:$2.75 for soda 9$ for pizza
Step-by-step explanation: Let p = pizza and s = soda. For the first week, we have the following:
24p+24s = 282
Now, for the next week, we have:
15p + 8s = 157.
We can multiply the equation 15p+8s=157 by -3 which ends up equaling
-45p -24s = -471
Now, we add them.
24p+24s = 282
-45p-24s = -471.
The s cancels out and we have -21p = -189. each pizza costs $9, so each soda costs (157-135)/8 which equals $2.75
A mixture of alcohol and water contains a total of 52 oz of liquid. There are 13 oz of pure alcohol in the mixture. What percent of the mixture is water? What percent is alcohol?
The percent of water in the mixture is
The percent of water in the mixture is
p[tex]^{w}[/tex]=m[tex]^{w}[/tex]/m×100%=
52 oz/65oz×100%
=80%
What is mixture?A mixture is a compound made up of two or more chemical components that are not chemically linked. A mixture is a physical blend of two or more substances that preserve their identities and are blended in the form of solutions, suspensions, or colloids.A mixture is a material that is made up of two more chemical compounds or substances that do not combine together chemically. It is actually the physical combination of two or more substances that are able to retain their identities while they are mixed in form of solutions, suspensions, or colloids. You can separate them by physical methods. In any mixture, the various components do not form through any kind of chemical change. Therefore, the components’ individual properties remain intact.
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If 25% of a number is 40 and 55% of the same number is 88, find 80% of that number.
11*90+5-20=?
I really don't know the answer to it and I'm not going to use a calculator on this
Show your work
Answer:
To solve this problem, we need to follow the order of operations (PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
First, we need to perform the multiplication.
11*90 = 990
Next, we add 5 to 990:
990+5 = 995
Finally, we subtract 20 from 995:
995-20 = 975
Therefore, the solution is 975
In summary, we first multiplied 11 and 90, then added 5 to the result, and finally subtracted 20. This is why the order of operations is important because it determines the order in which we perform the calculations in the equation.
The parade for Martin Luther king Day went in square around downtown.
If the band marched 1,872 yards before their first turn onto Market Street, how many feet was the entire parade route?
PLEASE SHOW FULL WORK AND EXPLAIN HOW YOU THE ANSWER
THANKS FOR YOUR TIME :)
Answer: To find the entire parade route, we need to know how many yards the band marched for each of the four sides of the square and then convert those yards to feet.
If the band marched 1,872 yards before their first turn onto Market Street, it means that they also marched 1,872 yards along each of the other three sides of the square.
So the total distance of the parade route in yards is:
1,872 yards + 1,872 yards + 1,872 yards + 1,872 yards = 7,488 yards
To convert that to feet we need to multiply it by 3, since 1 yard equals to 3 feet.
7,488 yards * 3 feet/yard = 22,464 feet
Therefore, the entire parade route was 22,464 feet long.
Step-by-step explanation:
NEED HELP ASAP PLS AND THX Picture is attached
M<2 + M<3 = 180 degrees, as this is the sum of all angles in a triangle.
Right angle triangleA right angle triangle is a triangle with one angle will be 90 degrees. It is the most basic type of triangle and is often used in mathematics and geometry. The other two angles of a right angle triangle must be acute angles, meaning that their measure must be less than 90 degrees. The three sides of a right angle triangle are referred to as the hypotenuse, the adjacent side, and the opposite side. The hypotenuse is the longest side of the triangle, the adjacent side is the side that is next to the right angle, and the opposite side is the side that is across from the right angle. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right angle triangle is equal to the square of the hypotenuse. This theorem can be used to calculate the length of the sides of a right angle triangle if the lengths of two sides are known.To learn more about Right angle triangle refer to:
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Can someone help? I’m stuck on these. I only need the ones on the left.
3x - 4y = -14
-3x + 2y = -2
--------------------Adding the two equation we solve for y:
-2y = -16
y = 16/2
y = 8
Now by back substitution, we get:
3x - 4y = -14
3x - 4(8) = -14
3x - 32 = -14
3x = -14 + 32
3x = 18
x = 18
x = 6
Therfore, x = 6 and y = 8
Thus the solution.
What is substitution?A substitute, or substitutable good, in economics and consumer theory refers to a product or service that consumers see as essentially the same or similar-enough to another product. Put simply, a substitute is a good that can be used in place of another.Substitutes play an important part in the marketplace and are considered a benefit for consumers. They provide more choices for consumers, who are then better able to satisfy their needs. Bills of materials often include alternate parts that can replace the standard part if it's destroyed.In economics, products are often substitutes if the demand for one product increases when the price of the other goes up.To learn more about consumers refer to:
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What is the vertex form of f(x) = (x-2)(x+6)
Answer:
[tex]y=(x+2)^2-16[/tex]
Step-by-step explanation:
what is the decimal that is 1/10 of 0.9
Answer:
1/10 x .9 = .09
Step-by-step explanation:
Without solving the quadratic equation 2x^2-10x+12=0, find the sum of the cubes of its roots
Answer: The sum of the cubes of the roots of a quadratic equation with coefficients a, b, and c can be found using the formula:
x³ + y³ = (x + y)(x² - xy + y²) = -b
Where x and y are the roots of the equation ax² + bx + c = 0.
In this case, the equation is 2x² - 10x + 12 = 0, so a = 2, b = -10, and c = 12.
So, the sum of the cubes of the roots is:
x³ + y³ = -b = -(-10) = 10
Therefore, the sum of the cubes of the roots of the equation 2x² - 10x + 12 = 0 is 10.
Step-by-step explanation:
5. The cylinder shown below
has a diameter of 5.2 cm on
the base and a height of 7.1
cm. Label the
measurements and find the
lateral surface area of the
cylinder.
6.
The lateral surface area of the cylinder is 51.22 cm2.
What is surface area?Surface area is a two-dimensional measure that refers to the total area of a surface, such as the area of a two-dimensional shape, a three-dimensional solid, or a combination of both. It is the sum of the areas of all the faces of a solid object. It is also referred to as the area of the boundary of a three-dimensional object. It can be used to calculate the volume of an object, and is also used in other calculations like area of the base of a triangle, area of a circle, and more.
The cylinder shown below has a diameter of 5.2 cm on the base and a height of 7.1 cm. The diameter of the base is referred to as 'd' and the height of the cylinder is referred to as 'h'. The lateral surface area of the cylinder can be found by using the formula LSA = 2πrh, where 'r' is the radius of the base.
The radius of the base of this cylinder is half of the diameter, or 2.6 cm. Therefore, the lateral surface area of the cylinder is: 2π x 2.6 x 7.1 = 51.22 cm2.
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Lila a réussi 19 services sur 34 et Milo 47 services sur 98.
Qui est le meilleur serveur en proportion?
[tex]\it \dfrac{34}{19}=1\dfrac{16}{19}\ \ pourcentage \ \ d'inefficacit\acute e\ \ pour \ \ Lila\\ \\ \\ \dfrac{98}{47}=2\dfrac{4}{98}\ \ pourcentage \ \ d'inefficacit\acute e\ \ pour \ \ Milo\\ \\ \\ Donc,\ \ Lila \ \ \acute etait \ \ plus\ \ efficace[/tex]
Une autre méthode:
[tex]\it \dfrac{19}{34} > \dfrac{47}{98}\ \Leftrightarrow\ 19\cdot98 > 34\cdot47 \Leftrightarrow 1862 > 1598\ \ (Vrai)[/tex]
Divide using synthetic division
To divide a polynomial by a binomial of the form x - c using synthetic division.
What is synthetic division? In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division. It is mostly taught for division by linear monic polynomials, but the method can be generalized to division by any polynomial.“Synthetic division can be defined as a simplified way of dividing a polynomial with another polynomial equation of degree 1 and is generally used to find the zeroes of polynomials” This division method is performed manually with less effort of calculation than the long division method.Synthetic division is a shorthand method for dividing a polynomial by a linear factor such as x + 3, and it's much simpler and faster.
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Tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s,
cost $3 each. There were 1,787 people who attended the basketball game and total of
$5,792 was earned in ticket sales.
14. Select the two equations that represent the situation.
A. r + s = = 5,792
B. r + s = 1,787
C.
3r + 4s = 1,787
D. 3r + 4s = 5,792
E.
4r + 3s = 5,792
The two equations that represent the situation are r+s= 1,787 and
4r+3s= 5,792. The solution is obtained using cost function.
What is Cost Function?
A mathematical formula known as a cost function is used to visualise how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.
We are given that 'r' represent the number of reserve seats.
So, if 'r' number of reserve seats are sold, then '1,787-r' represents the number of student tickets sold.
Therefore, we get the equation as,
⇒ s= 1,787-r
⇒ r+s= 1,787
Also, we are given that tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s, cost $3 each. Total $5,792 was earned in ticket sales.
Therefore, we get the equation as,
⇒ 4r+3s= 5,792
Hence, the two equations that represent the situation are r+s= 1,787 and
4r+3s= 5,792.
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Currently, the temperature of a bowl of ramen is 57°C above room temperature. The temperature of the ramen decreases based on the function f(t) = 57(0.89)t where t represents time elapsed in minutes. Where does the graph of f(t) cross the y-axis, and what does this represent in the context of the problem?
a
f(57) = 0; the time it takes for the above-room temperature to reach 0°C
b
f(0) = 57; the time it takes for the above-room temperature to reach 0°C
c
f(57) = 0; the above-room temperature of the ramen at time t = 0
d
f(0) = 57; the above-room temperature of the ramen at time t = 0
The solution is Option D.
The value of the equation f ( 0 ) = 57 ; the above-room temperature of the ramen at time t = 0
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
f ( t ) = 57 ( 0.89 ) ^ t be equation (1)
Now , t represents time elapsed in minutes
Substituting the value of t = 0 , we get
The time elapsed be 0 minutes , the above room temperature will be
f ( t ) = 57 ( 0.89 ) ^ t
when t = 0
f ( 0 ) = 57 ( 0.89 )⁰
Any number raised to the power of 0 is 1
So , the value of the equation is
f ( 0 ) = 57
And , f ( 0 ) is the above room temperature at the time t = 0
Hence , the equation is solved
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The set of all numbers in the form a plus b i
is called the set of _______ numbers. If b not equals 0
,
then the number is also called a/an _______ number. If b equals 0
,
then the number is also called a/an _______ number.
The set of all numbers in the form a + bi is called the set of complex numbers. If b ≠ 0, then the number is also called a non-real number. If b = 0, then the number is also called a real number.
What is a complex number?Complex numbers are those expressed as a+ib, where a, b, and I are real numbers and I is an imaginary number. An iota complex number is a component of a number system that extends real numbers by a particular element denoted I also known as the imaginary unit.
Imaginary numbers are another name for non-real numbers. A negative number's square root (or any other even root) creates an imaginary component, which is a property of imaginary numbers. The letter i stands for imaginary components.
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The solution to an inequality is graphed on the number line. A number line going from negative 5 to positive 5. A solid circle appears between positive 4 and positive 5. The number line is shaded from the circle to negative 5. What is another way to represent this solution set? {x | x < 4. 5} {x | x ≤ 4. 5} {x | x > 4. 5} {x | x ≥ 4. 5}.
Another way to represent this solution set is to express it as a set notation, which is {x | x ≤ 4.5}. This notation represents all values of x that are less than or equal to 4.5.
What is inequality?Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.
To graph this set, a closed circle would be placed at the 4.5 mark on the number line, and the numbers to the left of the circle would be shaded. This would indicate that all of the numbers to the left of the 4.5 mark, including the 4.5 mark itself, are part of the solution set.
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Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
Find y coordinate of y intercept of the polynomial f(x)=x(5x+6)
The y-coordinate of the y-intercept of the polynomial is 0
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
The polynomial function is given as;
f(x) = x(5x + 6)
At the y-intercept, the value of x is;
x = 0
Substitute x = 0 in f(x) = x(5x + 6)
f(0) = 0(5 * 0 + 6)
Evaluate;
f(0) = 0
Therefore, the answer of the polynomial function will be 0
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12/1 divided by 1 1/5
What color printer prints 11 pages in 6 minutes how many minutes does it take per page
Answer:
11/7 = 1.6
Step-by-step explanation:
11 pages divide 7 1.57 pages
____ = __________
7 minutes divide 7 1 minute
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the
function gives a line with a slope of -0.13. See the figure below.
There is $28.51 in credit remaining on the card after 27 minutes of calls. How much credit will there be after 36 minutes of calls?
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
what is function ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).
m(call time) + b = credit
The function produces a line with a slope of -0.14 when graphed.
After 43 minutes of calls, the card's balance is $26.02 left.
After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04
credit?
C(32) = -0.14(32) + 32.04\sC(32) = $27.56
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
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For safety reasons, the angle a ladder makes with the ground should be no greater than 67°. Find the length to the nearest foot of the shortest ladder that will safely reach a roof that is 25 feet high.
Round to the nearest foot.
The length of the ladder is ______________
The length of the ladder from the ground to roof is 27.173 feet.
What are trigonometric functions?Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given the angle a ladder makes with the ground should be no greater than 67°,
so the angle, Ф ≤ 67°
let us assume the angle to be equal to 67°
height of the roof from the ground is 25 feet,
ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular,
with the sine function, we can find the length of the ladder,
sinФ = perpendicular/hypotenuse
let the length of ladder be x
sin67 = 25/x
x = 25/sin67
x = 25/0.920
x = 27.173 feet
Hence the length of the ladder is 27.173 feet
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What percentage of the students in both grades prefer hot dogs for lunch?
Solve the problem below:
(-10)+13-2=?
Answer:
1
Step-by-step explanation:
(-10)+13-2
-10+13-2
3-2
1
If a 36-inch yardstick casts a 21-foot shadow, how tall is a building whose shadow is
168 feet? (Draw a picture with two similar polygons.)
The ratio of an object's original scale to that of a new, smaller representation is known as the scale factor.
What is meant by scale factor?A scale factor is defined as the ratio of an object's original scale to that of a new, smaller depiction of that object (bigger or smaller).
The scale factor is the amount that is multiplied by the original object to create a replica that is smaller but otherwise identical. The only difference between the copy and the original is its size. As though you had used a copy machine to increase or reduce the image or object, scale factor doubles it.
The ratio between the representation and the real thing is indicated by a scale factor. In order to reduce the actual thing's dimensions, a precise depiction of the object is called a scale drawing.
168 ÷ 21 = 8
The scale factor is 8
36 × 8 = 288
The building exists 288 inches.
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Emily misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 20?
She misses 5 throws.
This problem can be solved by percentage:
25% of 20 throws
= 25/100 × 20
= 1/4 × 20
= 5
Thus, Emily misses 5 throws.
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