Answer:
Step-by-step explanation:
When we combine like terms, we get:
7x² +9x² - 6x² = (7+9-6)x² = 10x²
So the polynomial in standard form is 10x².
The degree of the polynomial is 2 (since the highest power of the variable x is 2) and the number of terms is 1 (since there is only one term). Therefore, we classify this polynomial as a quadratic monomial.
Consider the table shown at left . What is the value of g( f ( -1) )
Answer:
4
Step-by-step explanation:
f(-1) = 2
g(2)= 4
Seven more than the quotient of a number and 3 is 10? What is the number?
The number is 9.
Which one of the three types of equations are they?The three main types of linear equations are the standard form, the point-slope form, and the slope-intercept form.
We can begin by converting the following phrase into an equation:
The formula for "seven bigger than the product of a number and three" is as follows:
x/3 + 7
where x stands in for the unidentified number.
Seven more than the result of a number and three equals 10, according to the following formula.
x/3 + 7 = 10
When you take 7 out of both sides of the equation, you get:
x/3 = 3
When both sides of the equation are multiplied by 3, the result is:
x = 9
Hence, the answer is 9.
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Use mental math to assess reasonableness. Explain your thinking
Cameron spends $130 on a gaming system and $80 on video games. He
says he spends about $215. Is his statement reasonable? Explain your
thinking.
To assess the reasonableness of Cameron's statement that he spent about $215 on a gaming system and video games, we can use mental math to estimate the total cost.
We know that he spent $130 on a gaming system and $80 on video games. If we round $80 up to $100 and add it to $130, we get:
$130 + $100 = $230
So based on this estimate, it seems like Cameron's statement of spending about $215 is not entirely accurate. However, it is close to the actual total cost, which is within 10% of the estimated total.
Therefore, we can say that while Cameron's statement may not be entirely precise, it is reasonably close to the actual total cost and can be considered reasonable.
What is the lowest common multiple of 8 and 12?
Answer:
2 hope that helps
Step-by-step explanation:
9. The price of a Delta Air Lines ticket from New York to Orlando increased to $450. This is an 8% increase. What was the old fare to nearest cent?
Answer:
$416.66
Step-by-step explanation:
We take
450 divided by 108, then time 100 = $416.66
So, the old fare is $416.66
component of optimi
1. Jaden wanted to begin a career in marketing. He had his heart set on a marketing program at a
private university. However, the private university did not admit Jaden to the school. After finding
out he was not accepted, Jaden chose to apply to a nearby state school that also had a highly rated
marketing program. Jaden is now a marketing manager.
Answer:
you need to learn yo stuff
Step-by-step explanation:
bye
im sorry for asking this i forgot to add this
A turtle and a snail are 300 feet apart when they start moving toward
each other. The turtle walks 5 feet per minute, and the snail crawls 1
foot per minute.
(How fast are the turtle and snail approaching each other?)
( 1 5/2),(-1/2,-1/4) slope
Answer:
[tex]\text{Slope} \; m = \dfrac{11}{6}[/tex]
Step-by-step explanation:
[tex]m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x}[/tex]
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \dfrac{-1/4 - 5/2}{-1/2 - 1}[/tex]
[tex]m = \dfrac{\dfrac{-11}{4}}{\dfrac{-3}{2}}[/tex]
[tex]m = \dfrac{-11}{4} \times \dfrac{2}{-3}[/tex]
[tex]m = \dfrac{-22}{-12}[/tex]
[tex]m = \dfrac{11}{6}[/tex]
Solve the following linear programming problem. Maximize: z = 7x + 2y subject to: 7x-y≤ 16 2x+y≥ 10 X≥2 y≤9 The maximum value is
Answer:
To solve the linear programming problem, we need to first graph the feasible region determined by the constraints, and then evaluate the objective function at each corner point of the feasible region to find the maximum value of z.
Plotting the lines corresponding to the inequalities, we get:
Graph of the feasible region:
The feasible region is the shaded polygon in the graph. We can see that the vertices of the feasible region are (2, 9), (2, 12), (4, 7), and (8, 2).
Next, we evaluate the objective function at each of these vertices to find the maximum value of z.
At (2, 9): z = 7x + 2y = 7(2) + 2(9) = 23
At (2, 12): z = 7x + 2y = 7(2) + 2(12) = 31
At (4, 7): z = 7x + 2y = 7(4) + 2(7) = 35
At (8, 2): z = 7x + 2y = 7(8) + 2(2) = 58
Therefore, the maximum value of z is 58, which occurs at the point (8, 2).
Hence, the answer is: the maximum value of z is 58.
A hiker hikes at a steady rate throughout the day on a mountain. Which student wrotr a correct equation to represent the linear relationship shown on the table between X, the number of hours hiked and y, the current altitude of the climber?
There is no table provided to reference, but the equation that represents a linear relationship between X and Y is:
y = mx + b
where m is the slope of the line and b is the y-intercept. The equation can also be written as:
y = b + mx
where b is the y-intercept and m is the slope. The equation represents a straight line on a graph, where the slope determines the steepness of the line, and the y-intercept is the point where the line crosses the y-axis. To write the equation for the table of X and Y values, we need to determine the slope and y-intercept from the given data.
the unit rate for this relationship is 1 gallon per 18.25 minutes
The amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is calculated to be approximately 6.58 gallons.
What is unit rate?
A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
Assuming the unit rate of 1 gallon per 18.25 minutes, we can convert 2 hours to minutes by multiplying it by 60, which gives us 120 minutes.
So, in 120 minutes, the amount of liquid that can be processed at a unit rate of 1 gallon per 18.25 minutes would be:
(120 minutes) / (18.25 minutes/gallon) = 6.58 gallons
Therefore, the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes is found out to be approximately 6.58 gallons.
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The complete question is :
What is the amount of liquid that can be processed in 2 hours at a unit rate of 1 gallon per 18.25 minutes?
In a right triangle, sin (9x - 4)° = cos (10x - 1)°. Find the larger of the triangle's
two acute angles.
The larger angle of the right triangle is 139 degrees.
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle. The third side is called the hypotenuse, which is the longest side of all three sides.
The three sides of the right triangle are related to each other. This relationship is explained by Pythagoras theorem
In a right triangle, one of the angles is 90 degrees. Let x be the measure of the other acute angle. Then we have:
sin x = cos (90° - x)
We can use this identity to rewrite the given equation as:
sin (9x - 4)° = sin (90° - (10x - 1)°)
Using the identity sin (90° - θ) = cos θ, we can simplify this equation to:
sin (9x - 4)° = cos (10x - 1)°
sin (9x - 4)° = sin ((90°) - (10x - 1)°)
sin (9x - 4)° = sin (10x - 91)°
Since sin θ = sin (180° - θ), we have:
9x - 4 = 180° - (10x - 91)°
9x - 4 = 271° - 10x
Simplifying and solving for x, we get:
19x = 275
x = 275/19
Now, the larger angle of the right triangle is either 9x - 4 or 10x - 1, depending on which is larger. We can calculate both angles and compare them:
9x - 4 = 9(275/19) - 4 = 121°
10x - 1 = 10(275/19) - 1 = 139°
Therefore, the larger angle of the right triangle is 139 degrees.
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A car salesman was able to sell a car for 12,500, earning a commission of 5%. How much was his commission.
Answer:
12,500 is 100%, or 1 in decimal terms. We calculate 5% by multiplying 12500 by 0.05.
This gives us a total of £625
Step-by-step explanation:
Brainliest pls
I need help solving this
The correct answer is sixteen (16).
20 POINTS ANSWER FOR BRAINLIST
Multiply. Final answer needs to be in Standard
Form. Two different methods need to be shown.
You can choose between Area Model, Distributive
Property and FOIL.
(3x − 4)(2x − 1)
Answer:
Method 1: Distributive Property
To multiply (3x - 4) and (2x - 1), we can use the distributive property:
(3x - 4)(2x - 1) = 3x(2x) + 3x(-1) - 4(2x) - 4(-1)
= 6x^2 - 3x - 8x + 4
= 6x^2 - 11x + 4
Therefore, the final answer in standard form is 6x^2 - 11x + 4.
Method 2: FOIL
To multiply (3x - 4) and (2x - 1), we can use the FOIL method:
(3x - 4)(2x - 1) = 3x(2x) + 3x(-1) - 4(2x) - 4(-1)
= 6x^2 - 3x - 8x + 4
= 6x^2 - 11x + 4
Therefore, the final answer in standard form is 6x^2 - 11x + 4.
Weathering and erosion are two processes that shape Earth’s surface. Which of the
following sets of factors cause both weathering and erosion?
a) acid rain, tree roots, waves
b) glaciers, waves, wind
c) moving water, plants, wind
d) acid rain, plants, ice
3. On a state math exam the scores were normally distributed with a mean of 72 and a standard deviation of 8. Use bell curve with standard deviations to help you complete the problem.
b. What percentage of students will score less than 72?
C. What percentage of students will score above 80?
The mean is 72, which is the center of the distribution, 50% of the students will score less than 72. The area to the right of z = 1, so approximately 15.87% of students will score above 80.
a) Since the mean is 72, and we want to know the percentage of students who scored less than 72, we need to find the area under the normal distribution curve to the left of the z-score that corresponds to 72. Since the standard deviation is 8, the z-score is:
z = (72 - 72) / 8 = 0
Using a standard normal distribution table or a calculator, we can find that the area to the left of z = 0 is 0.5. Therefore, 50% of students scored less than 72.
b) To find the percentage of students who scored above 80, we need to find the area under the normal distribution curve to the right of the z-score that corresponds to 80. The z-score is:
z = (80 - 72) / 8 = 1
Using a standard normal distribution table or a calculator, we can find that the area to the right of z = 1 is 0.1587. Therefore, approximately 15.87% of students scored above 80.
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Natasha worked for part of the year before receiving a raise in her hourly rate of pay. The graph below shows the amount of money she has made this year and the hours she has worked since she received the raise. What was the initial amount of money Natasha made?
Answer:
Unfortunately, I cannot see the graph you are referring to since we are communicating through text. However, based on the information given, we can make some general observations.
We know that Natasha received a raise in her hourly rate of pay at some point during the year. Before the raise, she earned some initial hourly rate of pay. Let's call this initial rate of pay "x". Let's also assume that she worked for "h" hours before receiving the raise, and "k" hours after receiving the raise.
We can write an equation to represent the total amount of money she made this year:
Total amount of money = (initial hourly rate of pay x number of hours worked at the initial rate) + (new hourly rate of pay x number of hours worked at the new rate)
Using the variables we defined earlier, we can write:
Total amount of money = (x × h) + ((x + y) × k)
where y is the increase in her hourly rate of pay after the raise.
We also know that she earned a certain amount of money before the raise. Let's call this amount "M". This means that:
M = x × h
Solving for x, we get:
x = M/h
Substituting this expression for x into the first equation, we get:
Total amount of money = (M + yh) + ((M/h + y) × k)
We don't know the values of M, y, h, or k, so we cannot determine the initial hourly rate of pay x or the total amount of money Natasha made this year. However, we have set up an equation that can be used to solve for these values if we have more information.
how far is sam from the top of a temple?
The distance between Sam from the top of the temple is 56. 6 feet
How to determine the distanceTo determine the distance, we need to know that trigonometric identities are mathematical identities that is mostly used to prove that all the values of the functions of trigonometry are true.
The types of trigonometric identities are;
tangentsinecosinecotangentcosecantsecantFrom the information given, we can deduce that;
The angle of elevation, θ = 62 degrees
The opposite side of the angle that is the height of the temple is 50 feet
The distance is the hypotenuse side
Then, using sine identity, we have;
sin 62 = 50/d
d = 50/0. 8829
d = 56. 6 feet
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Find the mean of the data set. 3, 22, 0, 15, 9, 23
Answer:
12
Step-by-step explanation:
Mean = 3+22+0+15+9+23=72
72÷6 =12
State the principle of mathematical induction
The principle of mathematical induction is a method of proof used in mathematics to prove that a statement is true for all natural numbers.
It is based on the idea that if the statement is true for one number, then it can be used to prove that it is true for the next number. Mathematical induction can be expressed mathematically as follows:
Let P(n) be a statement involving an integer n
Base Case: P(m) is true for some m
Induction Hypothesis: Assume P(k) is true for some k>m.
Induction Step: Show that P(k+1) is true.
Therefore, P(n) is true for all n>m
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Which decimal is equivalent to
4/15
Please!
Answer:
0.266666
Step-by-step explanation:
1) Use the algorithm method.
0 . 2 6 6 6 6 6
____________________________
15 | 4 .
3 . 0
__________
1 . 0 0
9 0
_________
1 0 0
90
___________
1 0 0
9 0
___________
1 0 0
9 0
______
1 0 0
9 0
___
10
2) therefore, 4/15 ≈0.266666.
0.266666
A bag has 2 blue cubes, 3 red cubes, and 5 green cubes. If you draw a cube and replace it in the bag 100 times, which of the following amounts would you expect to pull? Select all that apply. A) Pull more than 2 times as many green cubes as blue cubes B) Pull a green cube 50 times C) Pull a blue cube 20 times D) Pull more red cubes than green cubes E) Pull a blue cube 70 times
Pull a green cube 50 times; Pull a blue cube 70 times. The possible options are B and E.
Describe Probability?Probability refers to the likelihood or chance of an event occurring, expressed as a number between 0 and 1.
A probability of 0 indicates that an event is impossible, while a probability of 1 indicates that an event is certain to occur. For example, the probability of rolling a 7 on a fair six-sided die is 0, while the probability of rolling a 1, 2, 3, 4, 5, or 6 is 1/6.
Probabilities can also be expressed as percentages, with a probability of 0.5 (or 50%) indicating an even chance of an event occurring.
A) Pull more than 2 times as many green cubes as blue cubes:
Since there are only 2 blue cubes in the bag and 5 green cubes, it is highly unlikely that you would pull more than 2 times as many green cubes as blue cubes in 100 draws. Therefore, this option is unlikely.
B) Pull a green cube 50 times:
There are 5 green cubes in the bag, so it is possible to pull a green cube 50 times in 100 draws. Therefore, this option is possible.
C) Pull a blue cube 20 times:
There are only 2 blue cubes in the bag, so it is unlikely that you would pull a blue cube 20 times in 100 draws. Therefore, this option is unlikely.
D) Pull more red cubes than green cubes:
There are 3 red cubes and 5 green cubes in the bag, so it is possible to pull more red cubes than green cubes in 100 draws. Therefore, this option is possible.
E) Pull a blue cube 70 times:
Since there are only 2 blue cubes in the bag and you are drawing with replacement, it is highly unlikely that you would pull a blue cube 70 times in 100 draws. Therefore, this option is unlikely.
Therefore, options B and D are possible.
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Circle p has a radius of 8 inches
The area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.
How to evaluate for the area of the sector.The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.
the angle of the sector = 70°
the radius = 8 ft
hence the area of the sector is calculated as follows:
(70°/360°) × 22/7 × 8 in × 8 in
we simplify by division and multiplication
1/36 × 22 × 64 in²
352 in²/9
39.1111 in²
Therefore, the area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.
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What is the volume of the prism?
Enter your answer, as a mixed number in simplest form, in the box.
cm³
Answer:
40 5/8
Step-by-step explanation:
6 1/2 × 2 1/2
13/2 × 5/2= 65/4
65/4 × 2 1/2
65/4 × 5/2 = 325/8
325/8= 40 5/8
Answer:
40 5/8
Step-by-step explanation:
6 1/2 × 2 1/2
13/2 × 5/2= 65/4
65/4 × 2 1/2
65/4 × 5/2 = 325/8
325/8= 40 5/8
Simplificacion de 18/25
Answer:
Step-by-step explanation:
Ici, nous allons réduire la fraction 18/25 aux termes les plus bas et la convertir en un nombre fractionnaire, si nécessaire.
Dans la fraction 18/25, 18 est le numérateur et 25 est le dénominateur.
On commence par trouver le plus grand diviseur commun de 18 et 25, qui est 1. Ensuite, on divise 18 et 25 par le plus grand diviseur commun pour obtenir la plus petite expression, écrite comme suit :
(18 ÷ 1) / (25 ÷ 1)
= 18/25
Roselli's Machine Manufacturing Co reported its sales as R120 000, a gross profit of R50 000, and current liabilities of R25 000. If the current ratio is 2,5 and the quick ratio is 1,75, what is the inventory turnover for the company?
Answer:
Step-by-step explanation:
To find the inventory turnover for Roselli's Machine Manufacturing Co, we need to use the formula:
Inventory turnover = Cost of goods sold / Average inventory
First, we need to find the cost of goods sold (COGS):
COGS = Sales - Gross profit
COGS = R120 000 - R50 000
COGS = R70 000
Next, we need to find the average inventory. We can use the quick ratio formula to find the current assets:
Quick ratio = (Current assets - Inventory) / Current liabilities
Rearranging the formula to solve for inventory, we get:
Inventory = Current assets - (Quick ratio x Current liabilities)
Plugging in the values we know, we get:
1.75 = (Current assets - Inventory) / R25 000
Current assets - Inventory = 1.75 x R25 000
Current assets - Inventory = R43 750
Inventory = Current assets - R43 750
Since the current ratio is 2.5, we know that:
Current assets / Current liabilities = 2.5
Solving for current assets, we get:
Current assets = 2.5 x R25 000
Current assets = R62 500
Substituting the values we found for inventory and COGS into the inventory turnover formula, we get:
Inventory turnover = COGS / Average inventory
Inventory turnover = R70 000 / [(R62 500 - R43 750) / 2]
Inventory turnover = R70 000 / (R18 750 / 2)
Inventory turnover = R70 000 / R9 375
Inventory turnover = 7.47
Therefore, the inventory turnover for Roselli's Machine Manufacturing Co is 7.47.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the absolute value functions with their vertices.
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f(x)= |x-51+
f(x) = -2|2|-
-
f(x)= |x-1| +4
f(x)=x+11-4
Vertex
(-1,-4)
(5, 1)
(0, -1)
(2, 4)
f(x) = |z|-
f(2)=|z-|+{
Absolute Value Function
Answer:
[tex]\boxed {\left(-1, -\dfrac{3}{7}\right)} \longrightarrow \boxed{f\left(x\right)\:=\:\frac{1}{2}\left|x\:+\:1\right|-\frac{3}{7}}[/tex]
[tex]\boxed{\left(5,\:\frac{2}{3}\right)} \longrightarrow \boxed{f\left(x\right)\:=\:\frac{3}{5}\left|x\:-\:5\right|+\:\frac{2}{3}}[/tex]
[tex]\boxed{\left(0,\:-\frac{4}{5}\right)} \longrightarrow \boxed{f\left(x\right)\:=\frac{1}{2}\left|x\right|\:-\:\frac{4}{5}}[/tex]
[tex]\boxed{\left(\frac{2}{5},\:\frac{5}{3}\right)} \longrightarrow \boxed{f\left(x\right)\:=\frac{3}{2}\left|x-\frac{2}{5}\right|+\frac{5}{3}}[/tex]
Step-by-step explanation:
The vertex of an absolute function
y = f(x) = a|x - b| + c occurs at x - b = 0 or when x = b
Plugging this into the original equation will give the value for f(b) which will be f(b) = 0 + c which will be the y-value of the vertex
[tex]\text{Vertex of } f(x) = \dfrac{3}{5} |x - 5| + \dfrac{2}{3}\\\\ \longrightarrow x = 5, y = \dfrac{2}{3} \\\\\longrightarrow \left(5, \dfrac{2}{3} \right)[/tex]
You can do the others in a similar manner.
Here it is easier because the constant in f(x) corresponds to the y-coordinate of the vertex and they are different in the answer choices
Which of the following equations will reduce the graph shown below
The equation y = -1/2(x-3)² + 5 reduces the graph, which means that the graph decreases as we move away from the vertex (3, 5) in both directions along the x-axis.
What is graph?In mathematics, a graph is a visual representation of a set of objects (called vertices or nodes) and the connections (called edges) between them.
The equation y = -1/2(x-3)² + 5 is a quadratic function in vertex form. The vertex of this parabola is at the point (3, 5), and the coefficient of the x² term is negative (-1/2), which tells us that the parabola opens downwards. This means that the graph of this equation reduces.
To see why this is the case, consider the behavior of the y-values as x moves away from the vertex. Since the leading coefficient is negative, the y-values will decrease as x moves to the left or right from the vertex. Additionally, the squared term inside the parentheses means that the graph will be symmetric around the x-coordinate of the vertex, which is 3 in this case.
Thus, as x moves away from the vertex to the left or right, the y-values decrease in a symmetric manner, resulting in a graph that reduces. This can be seen in the shape of the parabola as it curves downwards from the vertex.
Therefore, the equation y = -1/2(x-3)² + 5 reduces the graph, which means that the graph decreases as we move away from the vertex (3, 5) in both directions along the x-axis.
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What is the area of this trapezoid?
Answer:
8*7=56 + 8*3=24 = 80_squared
Step-by-step explanation: