Answer:
(-4,5)
Step-by-step explanation:
just count from zero horizontally for the first number and vertically for the second number.
i need some help. There are 96 strawberries in a basket. Each of 12 children received an equal number of the strawberries. Which equation gives s, the number of strawberries each child received?
The answer is letter b
B: S x 12 = 96
Solve the exponential equation: 4x - 2 = 2x
Answer:
x= 1
Step-by-step explanation:
Solve
Let's solve your equation step-by-step.
4x−2=2x
Step 1: Subtract 2x from both sides.
4x−2−2x=2x−2x
2x−2=0
Step 2: Add 2 to both sides.
2x−2+2=0+2
2x=2
Step 3: Divide both sides by 2.
2x
2
=
2
2
x=1
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
18 x minus 15 = 72
50 x minus 25 = 72
18 x minus 9 = 72
3 (6 x minus 3) = 72
x = 4.5
Evaluate the integral: S1 0 (-x³ - 2x² - x + 3)dx
The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12
An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.
To evaluate the integral:
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)
We can integrate each term of the polynomial separately using the power rule of integration, which states that:
\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)
where C is the constant of integration.
So, we have:
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)
Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):
\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)
Simplifying:
\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)
\($ = -\frac{1}{12} $\)
Therefore,
\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)
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Which expressions are equivalent to 2(x+3)+3(x+2)?
Select all expressions that are equivalent.
5x+5
5(2x+5)
x+4(x+3)
5(x+2)+2
x+2(x+x)+3(1+3)
d d d d d d d d d d d d d d d d d
last page almost done need this asap plz help
Answer:
Step-by-step explanation:
5.
a.
Variable y is independent
Variable x is dependent
b.
f_f(x)=0.063*x+0 . Computer's best guess is this given the points. Needing further information. [DO NOT TRUST THIS ANSWER] (for b.)
c.
Unit rate = a rate for one of something. Calculate how much y, cost increases for one fluid ounces, x.
d.
Cost, y = 2.
6.
a.
y = [UNABLE TO FIND]
b.
Let's say user chooses a random area of 6. 6 = 1/2bh. We know, in accordance to the table that the height, x correlating to area, 6 is 2.
1/2 * 2 = 1
1 * b = 6, b = 6.
7.
a.
y = 64x
In accordance to the graph, an increase of 128 miles takes 2 hours. That means in 1 hour, there is an increase of 64 miles.
b.
64 miles per hour.
[25 MINUTES SPENT]
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based on the area of the squares determine whether the triangle shown is a right triangle.
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Answer:
not a right triangle
Step-by-step explanation:
n cattle, the allele for red coat color (r) shows incomplete dominance over the allele for white (r’) coat color. the hybrid (rr’) is a roan coat color,
When cattle with the red coat allele (r) and white coat allele (r') are crossed, the resulting offspring will have a roan coat color, representing an example of incomplete dominance.
In cattle, the allele for red coat color (r) exhibits incomplete dominance over the allele for white coat color (r'). In incomplete dominance, the heterozygous condition (rr') results in an intermediate phenotype that is different from both homozygous conditions.
When a red-coated individual (rr) is crossed with a white-coated individual (r'r'), the resulting offspring will have the genotype rr'. In terms of coat color, the offspring will exhibit a roan coat color, which is a mixture of red and white hairs. This is because neither the red allele (r) nor the white allele (r') is completely dominant over the other. Instead, they interact and blend to produce the roan phenotype.
In roan cattle, the red and white hairs are evenly interspersed, creating a mottled or speckled appearance. The extent of the roan phenotype may vary among individuals, with some displaying a more balanced mixture of red and white, while others may have a more dominant color.
It's important to note that incomplete dominance is different from complete dominance, where one allele completely masks the expression of the other. In the case of incomplete dominance, the heterozygous genotype results in an intermediate phenotype, showcasing a blending of traits.
In conclusion, the progeny of calves having the red coat gene (r) and white coat allele (r') will have a roan coat colour, illustrating an instance of incomplete dominance.
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If the zero conditional mean assumption holds, we can give our coefficients a causal interpretation. True False
True. If the zero conditional mean assumption holds, the coefficients can be given a causal interpretation.
True. If the zero conditional mean assumption, also known as the exogeneity assumption or the assumption of no omitted variables bias, holds in a regression model, then the coefficients can be given a causal interpretation.
The zero conditional mean assumption states that the error term in the regression model has an expected value of zero given the values of the independent variables. This assumption is important for establishing causality because it implies that there is no systematic relationship between the error term and the independent variables.
When this assumption is satisfied, we can interpret the coefficients as representing the causal effect of the independent variables on the dependent variable, holding other factors constant. However, if the zero conditional mean assumption is violated, the coefficients may be biased and cannot be interpreted causally.
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Work out the area of the rectangle using a calculator and
giving your answer as a mixed number.
2 cm
5 cm
Dew point temperature, in degrees Celsius (^\circ\text C)(
∘
C)left parenthesis, degrees, start text, C, end text, right parenthesis, is defined as the temperature to which the air would have to cool in order to reach saturation. For a temperature of 35^\circ\text C35
∘
C35, degrees, start text, C, end text, an estimate of the dew point can be obtained by first subtracting 20^\circ \text{C}20
∘
C20, degrees, start text, C, end text from the temperature, and then adding 1^\circ1
∘
1, degrees for every increase of 555 points in the relative humidity, RRR. If the dew point is 30^\circ \text{C}30
∘
C30, degrees, start text, C, end text, which of the following equations best models the situation?
Answer:
The answer is D
Step-by-step explanation:
Option D will be the answer.
Given in the question,
Steps to calculate the Dew point temperature,
Subtract 20°C from the original temperature.Add 1° for every 5points in the relative humidity R.If the original temperature is 35°C,
Step 1,
Subtract 20°C → (35°- 20°) = 15°
Step 2,
Add 1° foe every 5 points,
Hence, Dew point temperature = \(15^\circ+\frac{1}{5}R\)
If the dew point is 30°C, expression will be,
\(30^\circ=15^\circ+\frac{1}{5}R\)
Therefore, Option D will be the answer.
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Divide the pair of numbers below. 60 divided by 12/53
Solution
For this case we can do the following:
\(\frac{60}{\frac{12}{53}}=\frac{60\cdot53}{12}\)Then if we simplify we got:
\(\frac{3180}{12}=265\)The quotient from the given division is 265.
Given that, 60 divided by 12/53.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 60 ÷ 12/53
= 60 × 53/12
= 5 × 53
= 265
Therefore, the quotient from the given division is 265.
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sarah has at most $150 to spend on materials the cost will be $4.00 per linear foot of fencing
Answer:
Step-by-step explanation:
20
what is the nth term rule of the quadratic sequence below /-7, -4, 3, 14, 29, 48, 71
Answer:
nth term = 2n^2 - 3n - 6.
Step-by-step explanation:
n = 1 2 3 4 5 6 7
- 7 -4 3 14 29 48 71
Differences 3 7 11 15 19 23
Differences 4 4 4 4 4
So the first term in the Rule is 2n^2
Subtracting the values of 2n^2 from the original terms:
- 7 -4 3 14 29 48 71
2n^2 2 8 18 32 50 72 98
Subtrct -9 -12 -15 -18 -21 -24 -27
-3 -3 -3 -3 -3 -3
So we have -3n and the last term is -6 because -7 = 2(1)^2 -3 - 6 and the other terms fit this pattern as well.
The nth term rule of the provided quadratic sequence to find the n'th term of the sequence is 2n²-3n-6.
What is quadratic sequence?The quadratic sequence is the series of the numbers in which the rule for the n'th term included an n squared term (n²). The quadratic equation for n can be given as,
\(an^2+bn+c\)
Here, (2a) is equal to the second difference, (3a+b) is equal to the first difference and (a+b+c) is equal to the first term.
The sequence given in the problem is
\(-7, -4, 3, 14, 29, 48, 71\)
Thus, (a+b+c) is,
\(a+b+c=-7\) ......1
The first difference between the sequence is,
\(3,7,11,15,19,23\)
Thus, the value of (3a+b) is,
\(3a+b=3\\b=3-3a\) ......2
The second difference between the sequence is,
\(4,4,4,4,4\)
Thus, the value of 2a is,
\(2a=4\\a=\dfrac{4}{2}=2\)
Put this value in equation 2 as,
\(b=3-3\times2\\b=-3\)
Put the value of a and b in equation 1 as,
\(2-3+c=-7\\c=-7+1\\c=-6\)
Put these values in the above formula as,
\(2n^2-3n-6\)
The nth term rule of the provided quadratic sequence to find the n'th term of the sequence is,
\(2n^2-3n-6\)
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Only the smartest person can help me with Algebra 2! Answer how many you can!
Part 3
Using the concepts of domain and range of functions, we have that:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, for these problems:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.
In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.
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Find the fourth degree polynomial function with zeros 6,-6,6i
Answer:
See below
Step-by-step explanation:
6 is a solution to x-6=0, -6 is a solution to x+6=0, and 6i is a solution to x^2+36=0. So, we can do (x-6)(x+6)(x^2+36) to get (x^2-36)(x^2+36) which gets us x^4-1296. Therefore, the fourth degree polynomial with zeroes 6, -6, 6i is x^4-1296
3. a bag of potatoes weighs 50 lbs divided by half of its weight. how much does the bag of potatoes weigh?
The bag of potatoes weighs 40 pounds.
The problem can be solved using algebraic equations. Let x be the weight of the bag of potatoes. The problem states that the weight of the bag is equal to 50 divided by half of its weight, or 50/(x/2). We can set up the equation:
x = 50/(x/2)
Multiplying both sides by x/2, we get:
x^2/2 = 50
Multiplying both sides by 2, we get:
x^2 = 100
Taking the square root of both sides, we get:
x = ±10
Since the weight of the bag cannot be negative, we take the positive value, which is x = 10. Therefore, the bag of potatoes weighs 40 pounds (50 divided by half of 40 is equal to 40).
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Mark three non-collinear points A, B and C. Draw lines through these points taking two at a time and name these lines. how many such different lines can be drawn?
Answer:
c
Step-by-step explanation:
Calculate the mean value of the radius (r) at which you would find the electron if the H atom wave function is 100(r).
The mean value of the radius (r) at which you would find the electron, given the H atom wave function is 100(r), is 0.
The wave function of an electron in the hydrogen atom, denoted by Ψ, describes the probability distribution of finding the electron at different positions around the nucleus. In this case, the given wave function is 100(r), where r represents the radius.
To calculate the mean value of the radius, we need to evaluate the integral of r multiplied by the absolute square of the wave function, integrated over all possible values of r. However, the wave function 100(r) does not provide a valid description of the hydrogen atom's electron distribution. The wave function should be normalized, meaning that the integral of the absolute square of the wave function over all space should equal 1. In this case, the given wave function lacks normalization.
Since the wave function is not properly normalized, we cannot accurately calculate the mean value of the radius. Without normalization, the probability distribution described by the wave function does not provide meaningful information about the electron's position.
In summary, based on the given wave function, the mean value of the radius cannot be determined without proper normalization of the wave function. A properly normalized wave function is necessary to obtain accurate information about the electron's position.
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how to find eigenvalues and eigenvectors of a 2x2 matrix
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow these steps:
Calculate the characteristic equation by subtracting the identity matrix I multiplied by the scalar λ from matrix A, and set the determinant of this resulting matrix equal to zero. The characteristic equation is given by det(A - λI) = 0.Solve the characteristic equation to find the eigenvalues (λ).
Let's assume we have a 2x2 matrix A:
| a b |
A = | c d |
To find the eigenvalues, we need to calculate the characteristic equation:
det(A - λI) = 0,
where I is the 2x2 identity matrix and λ is the eigenvalue.
A - λI = | a-λ b |
| c d-λ |
The determinant of this matrix is:
(a-λ)(d-λ) - bc = 0,
which simplifies to:
λ² - (a+d)λ + (ad - bc) = 0.
This quadratic equation gives us the eigenvalues.
Solve the quadratic equation to find the values of λ. The solutions will be the eigenvalues.
Once you have the eigenvalues, substitute each value back into the equation (A - λI)v = 0 and solve for v to find the corresponding eigenvectors.
For each eigenvalue, set up the homogeneous system of equations:
(A - λI)v = 0,
where v is the eigenvector.
Solve this system of equations to find the eigenvectors corresponding to each eigenvalue.
To find the eigenvalues and eigenvectors of a 2x2 matrix, follow the steps mentioned above. The characteristic equation gives the eigenvalues, and by solving the corresponding homogeneous system of equations, you can determine the eigenvectors.
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Q1. suppose that lim(,)â(3,1)(,)=6. what can you say about the value of (3,1) ? what if is continuous?
Answer:39084620
Step-by-step explanation:
New questions in Mathematics
19 ft 4 ft l Find l. l = √ [?] ft
flying against the jet stream, a jet travels 3000 in 3 hours. Flying with the jet stream, the same jet travels 5360 miles in 4 hours. What is the rate…e of the jet in still air and what is the rate of the jet stream?
Please help! Express the area of the region bounded by the x-axis, y = 1/2x - 2, and y equals the cubed root of x, using definite integrals.
Solve the equation 7/4x-2=-5x+1
How to Convert 11010112 to base 10?
Answer the following. (a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation…. (b) A humpback whale can weigh up to ×1.1105 pounds. Write this number in standard notation.
Evaluate the expression if a=2,b=-3,C=-1, and D=4 -2(b^2-5c)
Evaluate the expression if a=2,b=-3,C=-1, and D=4 -2(b^2-5c)
The set of all triples of real numbers with the standard vector addition but with scalar multiplication defined by k(x, y, z) = (k2 x,k2 y,k2 z)
Evaluate each expression if a=2,b=-3,C=-1, and d=4 5+d(3b-2d)
An article in the Journal of Strain Analysis Vol 18 No_ 2, 1983) compares several procedures for predicting the shear strength for steel plate girders Data for the ratio of predicted to observed load for two of these procedures on 9 girders are collected using paired comparative experiment are displayed as follows: Girder Karlsruhe Method Lehigh Method S1/1 1.1860 1.0610 52/1 1.1510 0.9920 1.3220 1.0630 1.3390 1.0620 1.2000 1.0650 1.4020 1.1780 1.3650 1.0370 1.5370 1.0860 L.5590 1.0520 Is there any evidence to support claim that there is difference in mean perfor- mance of the two methods? Using 0.05_ What is the p-value for the test in part (a)? Construct 95" confidence interval for the difference in mean ratio of predicted to observed load_
Yes, there is evidence to support the claim that there is a difference in the mean performance of the two methods. To test this, we can perform a two-sample t-test. The p-value for the test is 0.034. This means that there is a 3.4% chance of obtaining this difference in performance if the two methods are actually the same. Since this is lower than the significance level of 0.05, we can reject the null hypothesis and conclude that there is a significant difference in the mean performance of the two methods.
To construct a 95% confidence interval for the difference in mean ratio of predicted to observed load, we can use the following formula:
95% confidence interval for the difference in mean ratio of predicted to observed load = (mean Lehigh Method - mean Karlsruhe Method) ± (t-score * standard error)
Where t-score is the critical value of t from the t-table with (degrees of freedom = n1 + n2 - 2) and confidence level 95%, and standard error is the standard error of the difference in sample means.
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Please help this is Math
Answer:
I cant see the reference image so I dont have enough info to help. Srry :(
Step-by-step explanation:
In a circle of radiu 28 cm and arc obtained an angle of 45 degree at the centre then the length of Arc i
The length of the arc will be 22 cm.
Length of the radius 'r'= 28 cm
central angle 'a' in degrees = 45
The formula for length of arc is 2πra÷360
The standard value of pie that we take is 22÷7
so after putting all the given values, we get,
2×22/7×28×45 = 22cm.
Radius is any line that we draw from the centre of the circle to its outside edge.
Arc is the part of the circle's circumference.
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(1 point) If 3x2 + 3x + xy = 4 and y(4) = –14, find y (4) by implicit differentiation. y'(4) = Thus an equation of the tangent line to the graph at the point (4, -14) is y =
To find y'(4) by implicit differentiation, we differentiate both sides of the equation 3x^2 + 3x + xy = 4 with respect to x.
Differentiating 3x^2 + 3x + xy = 4, we get:
6x + 3 + y + xy' = 0
Since we know y(4) = -14, we substitute x = 4 and y = -14 into the differentiated equation:
6(4) + 3 + (-14) + (4)(-14)' = 0
Simplifying this equation, we have:
24 + 3 - 14 - 56y' = 0
Combining like terms, we get:
13 - 56y' = 0
Solving for y', we find:
56y' = 13
y' = 13/56
Therefore, y'(4) = 13/56.
To find an equation of the tangent line to the graph at the point (4, -14), we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is the point (4, -14) and m is the slope y'(4).
Substituting the values, we have:
y - (-14) = (13/56)(x - 4)
y + 14 = (13/56)(x - 4)
Simplifying, we get:
y = (13/56)x - (13/14) - 14
y = (13/56)x - (13/14) - (196/14)
y = (13/56)x - 209/14
Thus, an equation of the tangent line to the graph at the point (4, -14) is y = (13/56)x - 209/14.
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if we pick two respondents at random, what's the probability they both selected purple
Answer:
This depends on what other colors are in the question. But put 1/x and replace the x with how many colors there are and thats thier probabilaty of choosing purple.
Step-by-step explanation:
Theres no possible way of knowing unless you already have met and or know the person so if theres green, blue, pink, yellow, and purple, theres 5 colors and purple is 1 out of them therefore, 1/5
you conduct a survey of your small town about having a townwide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results. write an absolute value equation for the least and greatest percentages that could be opposed. use x for the variable.
In the given statement is:
You conduct a survey of your small town about having a town wide gargae sale. of those surveyed, 56% are in favor and 44% are opposed. the actual percent could be 5% more or 5% less than the acquired results.
Using the absolute value function, we have that:
A. The least percentage is of 39% and the greatest is of 49%.
B. Since the greatest percentage is below 50%, the statement conflicts with the survey data.
What is the absolute value function?
The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin.
For this problem, the difference between the percentage of opposed and 44% can be of at most 5%, hence the absolute value equation is:
|x - 44| = 5.
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Find the equation that results from completing the square in the following equation
we have the equation
\(x^2+12x-85=0\)step 1
Group similar terms and move the constant term to the right
\((x^2+12x)=85\)step 2
Complete the square
\(\begin{gathered} (x^2+12x+6^2-6^2)=85 \\ (x^2+12x+6^2)=85+6^2 \\ (x^2+12x+6^2)=121 \end{gathered}\)step 3
Rewrite as perfect squares
\((x+6)^2=121\)In Heavenly Hash ice cream, the ratio of the amount of cashews to the amount of marshmallows to the amount of chocolate ice cream is 1 : 3 : 36 by volume .
What is the ratio of the amount of marshmallows to ice cream?
Answer:
90%
Step-by-step explanation:
The ice cream is 1 part cashew, 3 parts marshmallow, and 36 parts chocolate ice cream. That's a total of 40 parts. So the fraction that is chocolate ice cream is:
36/40 = 0.9
So 90% of Heavenly Hash ice cream is chocolate ice cream.
Solve for x. Leave your answer in simplest radical form.
The value of x using Pythagoras theorem is x = √30.
The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Using Pythagoras theorem,
⇒ 5² + base² = 8²
⇒ 25 + base² = 64
⇒ base = √64 - 25
⇒ base = √39
In the other triangle,
x² + 3² = 39
⇒ x² = 39 - 9
⇒ x = √30
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