Is √ 3x² 5y is a polynomial?
Answer: yes
Step-by-step explanation:
Nathan buys 9 items that cost b dollars each. She gives the cashier $100 dollars. Write
an expression for the change she should receive.
Answer:
100-9b
Step-by-step explanation:
equation: 100-9*b
simplified version: 100-9b
Carter walked for a while at three miles per hour, and then continued his journey on a bus travelling at 15 miles per hour. his time on the bus was twice as long as his time walking. how long did he ride on the bus if the total distance he covered was 66 miles? let t equal the time he walked (hours).
Answer: He rode on the bus for 3 hours
Step-by-step explanation:
1. We add 15 miles and 3 miles to get 18 miles.
2. Then 66/18 is 3.6666
3. Convert to whole number
Then 15x3 is 45
66-45 is 21
21/3=7
so he walked for 7 hours and rode the bus for 3 hours
What do you mean by residual value * Mcq?
The estimated value of an asset that is fixed at the end of its useful life or lease term is its residual value, which is often referred to as salvage value.
What is Mcq, or salvage value?
When an item reaches the end of its useful life, its salvage value—or potential market value—is estimated. It can also be described as the asset's book value after depreciation has been taken into account.
What does the depreciation formula's residual value mean?
The asset's final worth is its residual value. To obtain the entire amount, it is therefore deducted from the starting value. Consequently, we are given the depreciation figure. This sum is divided by the usable years of the asset using the straight-line depreciation technique.
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A person decides to buy a new home, which is selling for $275,000. The bank that is lending the money requires a 10% down payment. How much is required to be paid down on the home?
$27,500
$5,500
$11,000
$2,750
Please help! 50+ points!
Answer: x= 95° ; y= 35°
Step-by-step explanation:
If J II K (symmetrical), then x°= 180°- 85°
x°= 95°
In addition to this, because the J II K lines are symmetrical:
(5y-90)°= 85°
5y°- 90° = 85°
5y°= 85°+ 90°
5y° = 175°
5y°/ 5 = 175°/5
y°= 35°
Monica deposits $100 into a savings account that pays a simple interest rate of 3.7%. Paul deposits $200 into a savings account that pays a simple interest rate of 2.4%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
No, Monica is incorrect. Paul will get more interest in 1 year
What is simple interest?Simple interest is the interest amount for a particular principal amount of money at some rate of interest
Formula: Simple interest :
Principal x rate x time/100
Given: For Monica, Principal =$100, rate = 3.7%
Interest in 1 year = 100 x 3.7 x 1/100
=$3.7
For Paul, Principal =$200, rate = 2.4%
Interest in 1 year =200 x 2.4 x 1/100
= $4.8
Thus , Paul will get more interest in 1 year.
Therefore, Monica is incorrect.
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a. Graph the system of equations.
b. What is the solution to the system of equations?
c. Verify the solution.
By graphing the system of equations, we can see that the solution of the system is (-5, -3).
How to solve the system of equations graphically?Here we want to solve the following system of equations:
y = (2/5)*x - 1
2x - 3y + 1 = 0
To solve a system of equations graphically, we just need to graph both equations on the same coordinate axis, and then find the point where the two lines do intersect.
The graph of the system of equations can be seen on the image below.
Below you can see the graph of the system of equations, and you can see that the graphs intercept at the point (-5, -3)
To check if this is a solution, just replace these values in both equations and see if you get the same thing.
For the first one:
-3 = (2/5)*-5 - 1
-3 = -2 - 1
-3 = -3
And for the other line
2*-5 - 3*-3 + 1 = 0
-10 + 9 + 1 = 0
0 = 0
So the point is a solution for both equations.
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I need help on both of them
Answer: 4c^7d^8
Step-by-step explanation:
That was for a
Answer:
a) 4cd²
b) 3a²b³
Step-by-step explanation:
Divide the coefficients (8/2)
Subtract the exponents (c⁴ - c³, d⁵ - d³)
just need help with this
The total profit is $ 16 earned by selling Pies and Cobblers in the market.
What is System of Equation ?A system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
A finite collection of equations for which we searched for the common solutions is referred to as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model issues when the unknown values may be represented by variables.
A system of equations has only one unique solution if the L.H.S. and R.H.S. of all the provided equations in the system are identical when the variable or point of intersection of the lines representing those equations is substituted.
The number of pies made by John be x and number of cobblers be y.
profit on each Pie is $ 3 and that on Cobbler is $ 2
Let the number of cups of apple used in making pie be 3x
number of cups of flour used in making Pie is 2x
Let the number of cups of apple used in making cobbler be 2y
number of cups of flour used in making cobblers is 3y
Now as per the sum,
3x + 2y = 16 .........(i)
2x + 3y = 15 ..........(ii)
Multipling equation 1 with 2 and equation 2 with 3 then subtracting eq i from ii we get ,
6x + 4y - 6x - 9y = 32 - 45
y = 2.6 and x = 3.6
Now the total profit is 3*3.6 + 2* 2.6 = $ 16.
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What are the two 2 main approaches of image classification for each explain the general steps involved?
The two main approaches for image classification are supervised learning, which uses labeled data and involves training a model to map features to labels, and unsupervised learning, which does not require labeled data and involves clustering images based on their features and assigning labels to the clusters.
There are two main approaches to image classification:
Supervised learning: This approach uses a labeled dataset, where the images and their corresponding labels are provided. The general steps involved in this approach are:Data pre-processing: This step includes cleaning, normalizing, and resizing the images.Feature extraction: This step involves extracting relevant features from the images that will be used to train the model.Model training: A supervised learning model is trained on the feature-label dataset, which learns to map the features to the corresponding labels.Model evaluation: The trained model is evaluated on a separate test dataset to measure its performance.Unsupervised learning: This approach does not require labeled data, the general steps involved in this approach are:Data pre-processing: This step includes cleaning, normalizing, and resizing the images.Feature extraction: This step involves extracting relevant features from the images that will be used to cluster the images.Clustering: The images are grouped into clusters based on their features using clustering algorithms like k-means or hierarchical clustering.Label assignment: Assign labels to the clusters based on the images they contain.Model evaluation: The performance of the model is evaluated by comparing the assigned labels with the ground truth labels if available.To learn more about image classification at
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What is midpoint formula Class 10?
The Midpoint Formula is given as, (x, y) = [(x₁ + x₂)/2, (y₁ + y₂)/2]
The midpoint formula is a mathematical equation that is used to locate the halfway point between two data points.
The key characteristic of this equation is that it calculates the percentage changes based on the difference between the beginning and the ending values.
Formula to Find the Midpoint:
To find the midpoint of the straight line in a graph, we use this midpoint formula that will enable us to find the coordinates of the endpoint of the given line.
Suppose the endpoints of the line is (x₁,y₁) and (x₂,y₂) then the midpoint is given as:
The Midpoint Formula is given as,
(x,y)=[x₁+x₂/2,y₁+y₁/2]
Where x₁ and x₂ are the coordinates of the x-axis. y₁ and y₂ are the coordinates of the y-axis.
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solve for c 2(c+1)=10
The algebraic equation have the value of c equal to 4.
What is algebraic equationAn algebraic equation is a mathematical statement that involves two equated algebraic expressions.
The unknown value c can be evaluated for the agebraic equation 2(c + 1) = 10 as follows:
open brackets
2c + 2 = 10
subtract 2 from both sides of the equation
2c + 2 - 2 = 10 - 2
2c = 8
divide through by the coefficient of c
2c/2 = 8/2
x = 4
Therefore, the value of c that makes the algebraic equation true is 4.
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Which set of numbers can represent the side lengths in inches of an acute triangle 4 5 7 5 7 8 6 7 10 7 9 12?
The correct set of numbers that can represent the sides of an acute triangle among the options given is 5, 7, 8.
To determine if a set of numbers can represent the sides of an acute triangle, we can use the rule that the sum of the squares of the two smallest sides should be greater than the square of the largest side. By applying this rule
it can be seen that set B (5, 7, 8) satisfies this condition and is therefore an acute triangle,
while the other sets do not satisfy this condition and therefore are not acute triangles. It's worth noting that there can be multiple sets of numbers that can represent the sides of an acute triangle.
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Answer: B
Explanation: 5, 7, 8
Outliers: 2. 38, 42, 77, 47, 74, 51, 48, 41, 82, 72, 74, 129 find the Median: Q3: QI: IQR:
The median of the given data is 52, the lower quartile (Q1) is 41, the upper quartile (Q3) is 74, and the interquartile range (IQR) is 33.
Median: 52
Q1: 41
Q3: 74
IQR: 33
1. Arrange the numbers in ascending order: 38, 41, 42, 47, 48, 51, 72, 74, 74, 77, 82, 129
2. Count the number of data points: 12
3. Calculate the median by adding the two middle numbers and dividing by two: (47 + 48) / 2 = 52
4. Calculate the lower quartile (Q1) by finding the median of the lower half of the data: 41
5. Calculate the upper quartile (Q3) by finding the median of the upper half of the data: 74
6. Calculate the interquartile range (IQR) by subtracting the lower quartile from the upper quartile: 74 - 41 = 33
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What happens when a figure is dilated by a scale factor of less than 1?
When a figure is dilated by a scale factor of less than 1, it becomes smaller as the coordinates of each point on the figure will be multiplied by a value less than 1. This results in a reduction of the size of the figure while preserving its shape.
For example, if a figure is dilated by a scale factor of 0.5, the coordinates of each point on the figure will be multiplied by 0.5. This means that each point on the figure will be moved half as far from the origin as it was before the dilation.
The result of this is that the dilated figure will be smaller than the original figure and will have a scale factor of less than 1.
It's important to note that if the scale factor is less than 1, the dilation will reduce the size of the figure and if the scale factor is greater than 1, the dilation will increase the size of the figure.
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Explain why they are or not similar please!
Thank you!
We have proved that given polygons are similar polygons.
What are similar polygons?
Similar polygons are polygons that have the same shape, but possibly different sizes. Two polygons are similar if and only if their corresponding angles are congruent (equal in measure) and the ratio of the lengths of their corresponding sides is always the same, regardless of which pair of corresponding sides is chosen.
The similar polygons will have the same angles. in the given figure they all have the right-angle.
also if we take the ratio of their corresponding lengths, we get
12/8 = 24/16
3/2 = 3/2
So we can say that both polygons are similar.
Hence, we have proved that given polygons are similar polygons.
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Which of the following is the value of discriminant for √ 2x² − 5x+ √ 2 0?-517√22 √2 −5
The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.
The equation is √ 2x² − 5x+ √ 2 = 0
So the value of a, b, c are 2, -5, √2 respectively
Therefore, the discriminant is (-5)² - 4(2)(√2) = 25 - 8√2
So, The discriminant for √ 2x² − 5x+ √ 2 = 0 is -8√2
Answer:
The discriminant of a quadratic equation ax² + bx + c = 0 is given by the formula:
b² - 4ac
Given the equation √ 2x² − 5x + √ 2 = 0, we can find the discriminant by substituting the values of a, b, and c into the formula:
b² - 4ac = (-5)² - 4(√2)(√2) = 25 - 8 = 17
So, the discriminant of the equation √ 2x² − 5x + √ 2 = 0 is 17
Step-by-step explanation:
Question 23 of 25
Which inequality represents all values of x for which the quotient below is
defined?
√x+2+√5-F
O A. x≤5
OB. 25x55
OC. 2x<5
D. X2-2
unctions
To prevent division by zero errors, we once more ensure that x=5 is not permitted. The expression (5-x) underneath the other root is simultaneously set to be greater than 0.
what is inequality ?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
given
We require the (x+2) expression to be either 0 or positive in order to ensure that the information under the square root is not negative.
The expression (5-x) underneath the other root is simultaneously set to be greater than 0. We do not allow (5-x) to equal 0.
As a result, 5-x > 0 becomes 5 > x or x 5 when x is removed. This is the result of adding x to both sides.
In addition to the two inequalities, we also have x < 5. In order to describe a number between -2 and 5, we must include -2 but not 5.
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A. Complete the table to how the length of the field for each given width. Width (feet) Length (feet) 0 50 100 150 200 250 300
b. Define the function (w) to repreent the length of the field a
The length available will be (300-W) feet, where W represents the breadth (width) of the rectangle.
Let L, A, and W represent the length, area, and width of the rectangular field respectively.
A quadrilateral with parallel sides equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
The area a two-dimensional form occupies in a plane is known as its area. It has a square unit of measurement. As a result, the rectangle's area is the space enclosed by its exterior lines. It is the same as the length times the width calculation.
Rectangles can also be referred to as parallelograms since their opposite sides are equal and parallel.
Based on the data given we have,
2L + 2W = 60
=>2L=60-2W
=>L=(60-2W)/2
=>L=2(30-W)/2
∴ L=(30-W) feet
Thus, the length available will be (300-W) feet.
Therefore, Thus, the length available will be (300-W) feet.
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p = 9.7 inches, mm∠Q=93° and mm∠O=82°. Find the length of q, to the nearest 10th of an inch.
Answer:
its 9.7 bc if you insert P into V Is mutiply so it burst inside the mathmatic equation u get 9,7
Step-by-step explanation:
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answer: A
Step-by-step explanation: i took the test
PLEASE HELP ME I NEED AN EXPLINATION. IXL KEEPS ON DROPKICKING ME AND IM RUNNING OUT OF TIME
[tex]Answer: t=\boxed{5}\\.\ \ \ \ \ \ \ \ \ \ \ \ u=\boxed{9}[/tex]
Step-by-step explanation:
If ΔGHI=ΔFDE ⇒ we get a system of equations:
[tex]\displaystyle\\\left \{ {{5t+u+12=4u+2t\atop {u-2t+50=13u-9t-23}} \right. \\\\\\\\\left \{ {{3t-3u=-12\ (1)} \atop {7t-12u=-73\ (2)}} \right. \\[/tex]
Divide both parts of the equation (1) by 3:
[tex]\displaystyle\\\left \{ {{t-u=-4} \atop {7t-12u=-73}} \right. \\\\\\\left \{ {{t=u-4} \atop -{7(u-4)-12u=-73}} \right. \\\\\\\left \{ {{t=u-4} \atop {7u+28-12u=-73}} \right. \\\\\\\left \{ {{t=u-4} \atop {-5u=-45\ (3)}} \right.[/tex]
Divide both parts of the equation (3) by (-5):
[tex]\displaystyle\\\left \{ {{t=5} \atop {u=9}} \right.[/tex]
The graph of y = 4x? - 4x - 1 is shown.
Use the graph to find estimates for
the solutions of
i) 4x2 - 4x - 1 = 0
1%C
ii) 4x2 - 4x - 1 = 2
Then the two solutions are: x = (4 + 5.66) / 8 = 11.2075 and x = (4 - 5.66) / 8 = -0.2075
What is meant by Bhaskara's equation?The sine approximation formula of Bhaskara I is a rational equation in one variable for computing the approximations of the trigonometric sines found by Bhaskara I (c. 600–c. 680), an Indian mathematician of the seventh century.
Indian astronomer and mathematician Bhaskara II lived in the 12th century. He created a number of the same foundations and findings that are entirely attributable to Europeans and are still very helpful in modern science and forecasts, such as a basic form of calculus.
Here we have the equation:
y = 4 × x² - 4 × x - 1
And the graph should be available (you can see it below this answer)
Now, we're seeking answers to:
4 × x²- 4 × x - 1 = 0
The two x values at which the graph of our function intersects the y = 0 line, or the x-axis, will be these solutions.
The next step is to identify the two x values where our graph crosses the x-axis.
We can estimate the solutions in the graph as follows:
x = -0.2
x = 1.2
The Bhaskara's equation can be used to determine the precise solutions, and we will discover that the solutions are provided by:
[tex]$x=\frac{-(-4)+-\sqrt{(-4)^2-4 * 4 *(-1)}}{2 * 4}=\frac{4+-\sqrt{32}}{8}=\frac{4+-5.66}{8}[/tex]
Then the two solutions are:
x = (4 + 5.66) / 8 = 11.2075
x = (4 - 5.66) / 8 = -0.2075
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What is the coefficient of X²Y in the product 7x² 5y X² 3y?
So, on solving the provided question, we can say that coefficient of X²Y in the product 7x² +5y +X²- 3y is 7
What is the coefficient?A coefficient in mathematics is a polynomial, a series, or the multiplicative coefficient of a particular term in an expression. Typically numeric, however any expression is permitted. The term "parameter" can also refer to the coefficients themselves if they are variables. A number times a variable equals a coefficient. Coefficient examples include: The coefficient is 14 in phrase 14c 14c 14c. The coefficient is 1 for word g. multiplies the variable by this amount. example Given that "z" is a variable and that 6z is the definition of the term, the coefficient is 6. One is the coefficient of the square of x.
here,
coefficient of X²Y in the product 7x² +5y +X²- 3y is 7
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A game includes spinning the spinner with 6 equal sections and then rolling a number
cube with numbers 1-6.
What is the probability of spinning yellow and having the number cube show an odd
number?
The probability of spinning yellow and having the number cube show an odd number = 1/12.
What is probability ?
probability can be defined as the ratio of number of favourable outcomes and total number of outcomes .
Given,
A game includes spinning the spinner with 6 equal sections
Then rolling a number cube with numbers 1-6.
Let the probability of spinning a yellow be x .
and the probability of having the number cube showing an odd number be y .
so,
The probability of spinning yellow and having the number cube show an odd number = x * y .
x = 1/6 .
y = 3/6
y = 1/2
So,
x*y = 1/6 * 1/2
x*y = 1/12
Hence, The probability of spinning yellow and having the number cube show an odd number = 1/12.
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Julia measured a line to be 16.6 inches long. If the actual length of the line is 16.4
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
The percent error = 1.22% shown in nearest tenth.
What is percent error?
The difference between actual value and measured value is termed as percent error. It is shown in percentage unit. Generally, it is accepted that there may be some amount of percent error during our experiment and certain correction formula is always available to verify our result.
What was the percent error of Julia's measurement?Julia measured a line to be 16.6 inches in length.
but the actual length recorded is 16.4 inches.
The percent error of Julia's measurement = (experimental length - actual length) / actual length ×100
percent error = (16.6 - 16.4) / 16.4 ×100 = 1.22 %
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please help!
Find the measures of x and y. Explain your process
Using the fact that the sum of the interior angles of a triangle must be 180°, we will see that y = 70°, and x and y are vertical angles, so x = 70°.
How to find the measures of x and y?
First, remember that the sum of the interior angles of a triangle is always equal to 180°, then we can write a linear equation to find the value of y.
y° + 60° + 50° = 180°
We can solve that for y, we will get:
y° = 180° - 60° - 50°
y° = 180° - 110°
y° = 70°
Then the measure of angle y is 70 degrees.
Now, notice that angles x and y are vertical angles (have a common vertex but no common sides).
Vertical angles always have the same measure, then the measure of angle x is also 70°.
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Simplify the expression
using only positive exponents in the image
Answer:
option2 12x²/y⁹
Step-by-step explanation:
attached the solution below, hope that helps...
What is Heron's formula for area of triangle Class 9?
Heron's formula is a formula used to calculate the area of a triangle when the lengths of its three sides are known.
It is named after Hero of Alexandria, a Greek mathematician and engineer who first derived this formula.
The formula states that the area of a triangle is equal to the square root of the product of the semi-perimeter (half the sum of the three sides) and the differences of the semi-perimeter and each side.
Mathematically, Heron's formula can be written as:
A = √(s(s-a)(s-b)(s-c)),
where A is the area of the triangle, s is the semi-perimeter and a, b, c are the length of the three sides of the triangle.
For example, if the lengths of the three sides of a triangle are 5 cm, 6 cm and 7 cm, then the semi-perimeter (s) is (5 + 6 + 7)/2 = 9 cm.
Using Heron's formula, the area of the triangle is:
A = √(9(9-5)(9-6)(9-7)) = √(9*4*3*2) = √432 = 6.48 cm2
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