Answer: 84
Step-by-step explanation:
9^2+2*4-5
Let's solve according to PEMDAS and calculate the exponent first.
That leaves us with
81+2*4-5
Next, it's time to multiply.
81+8-5
From then on, we can just add and subtract to get the final answer:
84
Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 of mustard. What is the rate in cups of ketchup per cup of mustard
The rate in cups of ketchup per cup of mustard is given as 6 cups of ketchup per cup of mustard.
What are expression models?The expression model is defined as the model of the given situation in the form of an expression using variables and constants.
Here,
The recipe calls for 3 cups of ketchup for every 1/2 of mustard.
Now,
The rate in cups of ketchup per cup of mustard = ketchup/mustard
= 3 / [1/2]
= 3 × 2 = 6 / 1
Thus, the rate in cups of ketchup per cup of mustard is given as 6 cups of ketchup per cup of mustard.
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12 in ,10 in 8 in what type of triangle is
The type of triangle that is given by the dimensions, is a Scalene triangle.
What are types of triangles ?A scalene triangle has sides that are all measured differently. In such a triangle, no side will be the same length as any other side. Every interior angle in a scalene triangle is also unique.
The lengths of two of the three sides in an isosceles triangle are equal. The angles that are opposite the equal sides are therefore equal. An isosceles triangle, in other words, has two equal sides and two equal angles.
Each side of an equilateral triangle has an equal length. Each internal angle in this scenario will be 60 degrees in length. An equilateral triangle is often referred to as an equiangular triangle since its angles are equal.
The dimensions here are not the same which means that all the sides are not equal and so this is a scalene triangle.
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What is half of 1 2 US?
Answer: 6
12 divided by 2 is 6 or 6 + 6 = 12
Sometimes you can use the distributive property to expand an expression.
You can expand 23(5 2 x) into the equivalent expression 215 1 3x. Show
how you can use the distributive property to expand 24(2a 1 2) to get an
equivalent expression.
The distributive property shows that (2x + 3)(4x - 5) will give a value of 8x² + 2x - 15.
What is a distributive property?The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Here is an example of using the distributive property to expand:
(2x + 3)(4x - 5)
Using the distributive property, this can be expanded as:
2x * 4x + 2x * -5 + 3 * 4x + 3 * -5
Which simplifies to:
8x² - 10x + 12x - 15
Combining like terms:
8x² + 2x - 15
Note that your information wasn't well written and another example was issued for your understanding.
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Is absolute value function all real numbers?
If the absolute value is greater than or greater than or equal to a negative number, the solution is all real numbers.
If the absolute value is less than zero, there is no solution.
If the absolute value is less than or equal to zero, there is one solution.
If the absolute value is greater than zero, the solution is all real numbers
except for the value which makes it equal to zero. This will be written as a union.
The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin of a number line or coordinate system.
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What are the 5 methods of solving a linear equation?
There are mainly 6 methods used to solve a linear equation depending on the complexity and form of the equation.
A linear equation is represented as the equation of first order or variable having power 1 and can be written in the general form of Ax+By+C= 0, where A, B, and C are real numbers. And its simplest form is y= mx+b, where m is the slope or ratio of change in y and change in x, and b is the y-intercept. The following are the methods used to solve the linear equation:
1. Graphical Method.
2. Elimination Method.
3. Substitution Method.
4. Cross Multiplication Method.
5. Matrix Method.
6. Determinants Method
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whats the answer for this question
By the Pythagorean theorem, [tex]y=\sqrt{6^2-3^2}=3\sqrt{3}[/tex].
By the geometric mean theorem, [tex]y^2=3x \implies x=9[/tex].
Think about how you can use a graph to help you out in someway in your daily life. what data from your life are you going to use? what kind of graph would you use to track this data? how will you use this graph to help you? explain.
The graph to represent this data is pie chart.
What is a Graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
The points on the graph often represent the relationship between two or more things.
For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)
The graph used to represent the data is shown in the figure;
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define light-year. define light-year. the distance that light can travel in 1 year, which is approximately 149.6 trillion kilometers. the distance that light travels in 1 year, which is about 9.46 trillion kilometers. the distance that earth travels around the sun in 1 year, which is about 9.46 million kilometers. the average distance between earth and the sun, which is about 9.46 billion kilometers. the distance that light can travel in 1 year, which is approximately 149.6 billion kilometers.
A light-year is the distance light can travel in one year. It is equal to 9.46 trillion kilometers or 5.88 trillion miles. This is equal to about 6 trillion kilometers (3.7 trillion miles). It is the most common unit used to measure interstellar distances.
1. One light-year is equal to the distance light can travel in one year.
2. Distance light can travel in one year = speed of light x time
3. Speed of light = 300,000 km/sec
4. Time = 1 year
5. Distance light can travel in one year = 300,000 km/sec x 1 year
6. Distance light can travel in one year = 9.46 trillion km
7.The annual distance that light can cover is 5.88 trillion miles.
A light-year is a unit of distance used to measure interstellar distances. It is equal to 9.46 trillion kilometers, or 5.88 trillion miles. This is equal to approximately 6 trillion kilometers (3.7 trillion miles). This is calculated by multiplying the speed of light (300,000 km/sec) by one year (365.25 days). Light-years are commonly used to measure distances between stars and galaxies.
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how many positive three-digit integers have a remainder of 2 when divided by 8, a remainder of 7 when divided by 11, and a remainder of 5 when divided by 12?
Five positive three-digit integers have a remainder of 2 when divided by 6, a remainder of 7 when divided by 11, and a remainder of 5 when divided by 9.
Looking at the values, we notice that,
11-7=4, 9-5=4 and 6-2=4
This means we are looking for a value that is four less than a multiple of
11, 9, 6
The least common multiple of these numbers is 198
we can write 198k - 4 ,where k is a positive integer.
This value is only a three-digit integer when k is 1, 2, 3, 4, 5 giving us 194, 392, 590, 788, 986.
The quantity that is "left over" after conducting a calculation is referred to as the remnant in mathematics. The residual is the integer that remains after dividing one integer by another to create an integer quotient in mathematics (integer division).
The polynomial that remains after dividing one polynomial by another is known as the "remainder" in algebra of polynomials. When a dividend and a divisor are provided, the modulo operation is the one that results in such a remainder.
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a) [x] = [y] = [z] = 1.0 m
When Kp = 1.00 at 300K, for X(g) + Y(g) <==> Z(g), where [X] = [Y] = [Z] = 1.0 M, the reaction is in equilibrium.
Therefore the answer is c) reaction is at equilibrium.
Given the equilibrium constant Kp = 1.00 at 300K, this means that the reaction is already at equilibrium. Therefore, the net reaction will not proceed in any direction. The concentration of all the species X, Y, and Z in the reaction mixture will remain constant. So the answer is [c] reaction is at equilibrium.
It's important to note that the equilibrium constant Kp is the product of the concentration of the products raised to their stoichiometric coefficients divided by the product of the concentration of the reactants raised to their stoichiometric coefficients.
When Kp = 1, it means that the product of the concentrations of the products raised to their stoichiometric coefficients is equal to the product of the concentrations of the reactants raised to their stoichiometric coefficients. Therefore, the reaction is at equilibrium.
--The question is incomplete, answering to the question below--
"In which direction will the net reaction proceed.
X(g) + Y(g) <==> Z(g) … Kp = 1.00 at 300k
for each of these sets of initial conditions?
A) [X] = [Y] = [Z] = 1.0 M
[a] net reaction goes to the left [this one?]
[b] net reaction goes to the right
[c] reaction is at equilibrium"
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Write a method that takes two circles, and returns the sum of the areas of the circles. This method must be named areaSum() and it must have two Circle parameters. This method must return a double. For example suppose two Circle objects were initialized as shown:
The areaSum() method takes two Circle objects as parameters and returns the sum of the areas of both circles as a double.
Circle c1 = new Circle(5);
Circle c2 = new Circle(7);
[tex]public static double areaSum(Circle c1, Circle c2){ return c1.getArea() + c2.getArea();}[/tex]
1. Create a public static method named areaSum that takes two Circle objects as parameters.
2. The method should return a double.
3. Inside the method, use the getArea() method of the Circle class to get the area of both circles.
4. Return the sum of the areas of both circles.
5. The method should look like this:
[tex]public static double areaSum(Circle c1, Circle c2){ return c1.getArea() + c2.getArea();}[/tex]
The areaSum() method takes two Circle objects as parameters and returns the sum of the areas of both circles as a double. The method uses the getArea() method of the Circle class to get the area of both circles and returns the sum of the areas.
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which three antifraud measures are associated with the largest reduction in median losses (though not among the most commonly implemented antifraud controls)?
The three anti-fraud measures associated with the largest reduction in median losses are proactive data monitoring/analysis, management review, and hotline.
The ACFE claims that one of the primary characteristics of fraud is the deliberate attempt to conceal evidence and that many instances of fraud go undetected because of this. In order to reduce the likelihood of fraud occurring, businesses are urged to develop internal anti-fraud measures like a Code of Ethics.
The first step in deciding which internal controls to put in place is to gain an understanding of how occupational fraud is committed.
Asset misappropriation, bribery, and financial statement fraud are the three main types of occupational fraud schemes identified by the research. In addition, a crucial step in creating an efficient control environment across the company that may help in avoiding and detecting fraud is to gain an in-depth understanding of and analyze each of these categories.
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A ball is launched from a 70.56-foot tall platform. The equation for
the ball's height h at time t seconds after launch is h (t) = -16t² +
70.56, where h is in feet. What is the maximum height the ball
achieves before landing?
Answer:
In this case the equation is already in vertex form. The vertex of the parabola is the maximum point and the value of h(t) at that point is the maximum height.
Since the equation is h(t) = -16t² + 70.56, the maximum height is 70.56 feet.
Uday Tahlan
the radius of a sphere is increasing at a constant rate of 8 meters per second. at the instant when the radius of the sphere is 22 meters, what is the rate of change of the volume? the volume of a sphere can be found with the equation v
So, on solving the provided question we can say that the rate of change of the volume with respect to radius = [tex]1770 = 4/3 \pi r^3S = 4 \pi r^2[/tex] [tex]dS/dt = 8 \pi r dr/dt[/tex]
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
Taking the derivative of the volume formula
[tex]DV/dt = 4\pi r*2 dr/dt\\5471 = 4 \pi r*2 dr/dt[/tex]
This equation r and dr/dt
We can solve for r...
sphere is 1770 cubic inches
[tex]1770 = 4/3 \pi r^3S = 4 \pi r^2dS/dt = 8 \pi r dr/dt[/tex]
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As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 1500 feet of fencing. Remember that a square maximizes area, so use a square in your work.
-Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field.
-Find the function that models the area in terms of one of its sides.
-Find the point that maximizes the function you found in the second bulleted item.
-Calculate the area of the field at the point you found in the third bulleted item, and then compare your results with the results in the first bulleted item.
According to the area of rectangle, the maximum area is given by a 300 × 500 ft rectangle that is being half of a square
The formula to calculate the area of square is written as
A = l x b
where l refers the length and b refers the breadth in rectangle.
Here we have know that if there were no river then the maximum area would be given by a square configuration since increasing the length and decreasing the width of a square by the same value t will decrease the area by a square with sides of length t.
Here we have to add the river on one side.
As we all know that we need to fence in a rectangle on one side of the river and then here we have imagine an identical rectangle on the other side of the river.
Then the maximum area is given when the two rectangles form a square that is when we have a rectangle twice as long as wide is written as
=> 1500 feet of fence then the rectangle has fenced sides written as 500feet and 300feet.
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a machine manufactures a part in 11 minutes. a newer machine can manufacture the same part 1.5 minutes faster. write an equation that models how many parts p each machine can manufacture in any number of minutes m
The equation that models how many parts p each machine can manufacture in any number of minutes m is m = 1.5p
The term equation in math is defined as a mathematical sentence that has two equal sides separated by an equal sign
Here we have given that a machine manufactures a part in 11 minutes and here we have also know that a newer machine can manufacture the same part 1.5 minutes faster.
Let us consider that p refers the number of parts for old machine and m refers the time taken for manufacturing.
Then the equation can be written as,
=> m = 1.5p
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Help would be greatly appreciated. Image below.
Answer: Part A. a student must find the missing length by using the Pythagorean theorem.
The answer should come out to be x=2√26 or x=−2√26 (Decimal: 10.19803902…, -10.19803902…) or (Rounded to the nearest tenth: 10.20, -10.20)
Step-by-step explanation:
Let's make x the missing length. The Pythagorean theorem says the way to set up this equation is the leg^2 + leg^2 = hypotnues^2.
Set up the problem and solve, I'll show you how to do it: x²+11²2=15²
Step 1: Simplify both sides of the equation.
x² + 121=225
Step 2: Subtract 121 from both sides.
x² + 121−121=225−121
x² = 104
Step 3: Take square root.
x = ± √104
The answer should come out to be x = 2√26 or x = −2√26 (Decimal: 10.19803902…, -10.19803902…) or (Rounded to the nearest tenth: 10.20, -10.20)
The input and output values of a function f (x) are shown in the table.
X
-4
-3
-2
-1
0
f (x)
2
1
0
1
2
If g (x) = 2f (x), then which table shows the input and output values of g (x)?
The table which shows the input and output values of g (x) is,
f (x) g(x)
2 4
1 2
0 0
1 2
2 4
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The input and output values of a function f (x) are shown in the table.
X f (x)
-4 2
-3 1
-2 0
-1 1
0 2
Here, We have;
⇒ g (x) = 2f (x),
Hence, The table which shows the input and output values of g (x) is,
f (x) g(x)
2 2×2 = 4
1 1×2 = 2
0 0×2 = 0
1 2×1 = 2
2 2×2 = 4
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4x+9=101 what is the value of x
Answer: x = 23
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
Hope this helps :)
Answer the screenshot
The polynomial of degree 3 with the given zeros and a leading coefficient of 1 is:
P(x) = x^3 - 5x^2 - 14x
How to find the polynomial?Remember to do one post per question, I will answer the first one.
We know that for a polynomial of degree N with the given N zeros:
{x₁, x₂, ..., xₙ}
We can write the polynomial as:
P(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)
Where the leading coefficient is a.
Here the degree of the polynomial is 3, and the 3 zeros are:
-2, 0, 7
And the leading coefficient is 1.
Then we can write it as:
P(x) = 1*(x + 2)*(x - 0)*(x - 7)
P(x) = (x^2 + 2x)*(x - 7)
P(x) = x^3 + 2x^2 - 7x^2 - 14x
P(x) = x^3 - 5x^2 - 14x
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PLEASE HELP
A line passes through the point (2, 1) and has a slope of 3. Write the equation of the line in standard form.
a closed rectangular container with a square base is to have a volume of 2000 cm3. it costs twice as much per square centimeter for the top and bottom as it does for the sides. find the dimensions of the container of least cost
Answer:
C(220^2 + 420*2.5) = 800C + 200C = 1000C
Step-by-step explanation:
Let the length of the square base be L cm, and then the height of the container will be H cm. The volume of the container is given by the formula V = L^2 * H = 2000 cm3.
The cost of the top and bottom is 2C, where C is the cost per square centimeter for the sides. The cost for the top and bottom is 2 * L^2 * C. The cost for the sides is 4LH * C.
So the total cost is C(2L^2 + 4LH).
We can use the volume equation to find the height in terms of the length (H = 2000/L^2) and substitute it back into the cost equation.
C(2L^2 + 4L(2000/L^2)) = C(2L^2 + 8000/L)
To minimize the cost, we need to minimize the function 2L^2 + 8000/L, so we need to find the value of L that minimizes it.
Take the derivative of the function and make it equal to 0, then solve for L.
d/dL(2L^2 + 8000/L) = 4L - 8000/L^2 = 0
4L = 8000/L^2
L^3 = 2000
L = (2000)^(1/3) = 20
Therefore, the square base of the container should have a length of 20 cm, and the height of the container will be 2000/L^2 = 2000/20^2 = 2.5 cm.
The lowest cost would be C(220^2 + 420*2.5) = 800C + 200C = 1000C
h(x)=−3x+1
g(x)=2x
Find h(g(x))
Answer:
h(g)x)) = - 6x + 1
Step-by-step explanation:
to find h(g(x)), substitute x = g(x) into h(x) , that is
h(g(x))
= h(2x)
= - 3(2x) + 1
= - 6x + 1
Determine the probability of tossing two heads in a row by:
Listing all possible outcomes ((H,T), (H,H) and so on) and circling the desired outcome.
Calculating desired outcome
--—----------------
Total number of outcomes
Answer:
4
Step-by-step explanation:
(H,H) (T,T)(T,H)(H,T)
alberto sold half of his comic books. and then bought nineteen more. he now has 43. with how many did he start with
Answer:
48
Step-by-step explanation:
First you should subtract 43 and 19
then you get a answer 24
Multiply it by 2
you get 48
Answer:
no. of books =48 books
Step-by-step explanation:
lets say that he started with
x
books so,
(X÷2)-19=43
X÷2=24
X=48
Frank joined a fitness club. He paid a $50 registration fee, and dues are $12 per month. Which expression can be used to find the average monthly cost of an x-month membership at the club? y=50+12/xy=50+12x/x y= 50x+12/x y= (50+12)x/x
As per the unitary method, the expression can be used to find the average monthly cost of an x-month membership at the club is written as
(50 + 12x)/x.
The expression in math is known as the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Here we have given that Frank has to pay $50 as the registration fee and here we also given that this amount is compulsory to be paid
And we have also given that dues for $12 months is calculated as.
Then let us consider that the due to be paid every month be $x then the dues to be paid for 12 months will be 12x
Then the expression for the average monthly cost for x-month will be written as,
=> expression = total cost / total months
Then we have to apply the values on it, then it can be rewritten as,
=> (50 + 12x)/x
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a classroom of children has 11 boys and 18 girls in which five students are chosen to do presentations. what is the probability that at least four boys are chosen?
The total Number of ways to select five students out of 11 boys and 18 girls will be=104642
We have, total number of boys = 11, while the total number of girls = 18
Let us assume that,
X = total number of boys chosen
As it is given,
P(X>=4)=1
-P(X<=3)
Where, P(at most 3 boys are chosen) needs to be found out
As we know,
Here, the total number of ways to get at most 3 boys= Number of ways to get three boys and two girls + number of ways to get one boy and four girls + Number of ways to get two boys and three girls + Number of ways to get zero boys and five girls
Making the combination as per above arrangements:
We will get it as:
=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5
As we know,
The formula of combination is:
[tex]$${ }_n C_r=\frac{n !}{r !(n-r) !}$$[/tex]
[tex]${ }_n C_r=$[/tex] number of combinations
n= total number of objects in the set
r= number of choosing objects from the set
So, applying the concept of combination in the above,
=11C3*18C2+11C1*18C4+11C2*18C3+11C0*18C5
[tex]= \frac{11!}{8! \times 3!} \times \frac{18!}{16! \times 2!}+\frac{11!}{9! \times 2!} \times \frac{18!}{15! \times 3!}+\frac{11!}{10! \times 1!} \times \frac{18!}{14! \times 4!}+\frac{11!}{11! \times 0!} \times \frac{18!}{13! \times 5!}[/tex]
[tex][\frac{11 \times 10\times9\times8! }{8!\times 6} \times \frac{18\times17\times16!}{16!\times2}]+[\frac{11\times10\times9!}{9!\times2} \times \frac{18\times17\times16\times15!}{15!\times6}]+[\frac{11\times10!}{10!} \times \frac{18\times17\times16\times15\times14!}{14!\times24}]+[\frac{1}{1} \times \frac{18\times17\times16\times15\times14\times13!}{13!\times120}][/tex]
[tex]=(165 \times153)+(55\times816)+(11\times3060)+(1\times856.8)[/tex]
=25245+44880+33660+856.8
=104641.8 = 104642 (approx)
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if the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score e(x y)?
The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y).
e(x+y)
e = expected
x = points earned on part 1
y = points earned on part 2
So, the expected recorded score is the total of points earned on both parts: e(x+y).
The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y). This formula is useful for quickly calculating the total score of an assignment, allowing the grade book to be updated quickly and accurately.
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For every pound a company spends on advertising, it spends £0.24 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.
Answer:
25:6
Step-by-step explanation:
1/0.24
100/24
50/12
25/6
