9514 1404 393
Answer:
graph needs a solid dot at 13(c) ... at least 130 miles. ... at least 13 weeks.Step-by-step explanation:
The ≥ symbol means "greater than or equal to". In English, it is equivalent to "at least". On a graph, the boundary dot is drawn as solid to indicate the value represented by the dot is part of the solution.
The inequality is recognizable as the sum of miles added each week (6x) and the number of miles already completed (52). That is said to be greater than or equal to 130, so we presume the road crew's goal is "at least 130 miles."
The solution to the inequality is graphed as x ≥ 13, so we presume the time required to meet the goal will be "at least 13 weeks."
These statements match the 3rd choice.
Rewrite as a
simplified fraction.
_
0.1 = ?
Answer:
1/10
Step-by-step
Justin has 2 red marbles, 7 blue marbles, and 5 green marbles. How many total marbles does Justin have?
Answer:
14
Step-by-step explanation:
2+7+5
Answer:
14 total marbles.
Step-by-step explanation:
I'm pretty sure we are supposed to use addition, so
2 red marbles + 7 blue marbles + 5 green marbles = 14 marbles
Hope this helps!
in a classroom at time t = 0, a sphere is thrown upward at a 45 angle to the horizontal at time while the sphere is still rising it bounces off the ceiling elastically
A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising
At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.
During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.
Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.
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Find the demand function for the marginal revenue function. recall that if no items are sold, the revenue is 0.
R′(x)=0.06x2−0.05x+138
The required demand function for the marginal revenue function is P = 0.02x² - 0.025x.
What is demand function for the marginal revenue function?Marginal Revenue is the revenue that is gained from the sale of an additional unit. It is the revenue that a company can generate for each additional unit sold; there is a marginal cost attached to it, which must be accounted for.
According to question:The marginal revenue function, find the demand capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .
Considering that,
We need to find for the peripheral income capability, find the interest capability.
Recollect that the pay is zero assuming no things are sold:
R'(x) = 0.06x² - 0.05x + 138
p(x) is what.
That's what we know,
MR = dTR/dx = 0.06x² - 0.05x + 138
Incorporating the marginal revenue function , we get complete income capability,
MR = TR
= (0.06x²⁺¹)/(2+1) - (0.05x¹⁺¹)/(1+1) + 138x
= (0.06x³)/3 - (0.05x²)/2 + 138 x
TR = 0.02 x³ - 0.025 x² + 138 x
TR = (P)(Q) = (P)(x) = 0.02 x³ - 0.025 x² + 138 x
P = ( 0.02 x³ - 0.025 x² + 138 x)/x
P = 0.02x² - 0.025x + 138
In this manner, The marginal revenue function, find the interest capability is P = 0.02x² - 0.025x + 138 when R'(x) = 0.06x² - 0.05x + 138 .
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In a study, the data you collect is annual income (S).
What is the level of measurement?
O Nominal
O Ordinal
O Interval
O Ratio
The level of measurement for the data collected in the study, which is "annual income", is Ratio.
Ratio measurements have a true zero point, which means that they can be compared using ratios. For example, if one person's annual income is $50,000 and another person's annual income is $100,000, we can say that the second person's income is twice as much as the first person's income.
This type of measurement is the most precise and is used for variables such as annual income, height, weight, and time. Considering this, we can state that the correct answer to the question is: ratio.
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Given the image of the two triangle, which method can you use to show △ABC≅△EFG
Answer:
Side-Angle-Side
Explanation:
In the two triangles:
• Side: ,AB is congruent to EF (side length 1.4).
,• Angle: ,B is congruent to F (angle 107.9 degrees).
,• Side: ,BC is congruent to FG (side length 2.2).
Therefore, triangle ABC is congruent to triangle EFG by the Side-Angle-Side congruence postulate.
Picture is attached, please explain answer
Answer:
20 Yellow Counters
Step-by-step explanation:
You can see the clues with how the ratio changes.
To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.
The real value of the ratio if reverted back to it's original state would be:
=> (20:4)
95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.
95/19 => 5
Each Ratio in the original one presented is equal to 5.
5 * 4 = 20 Yellow Counters
Answer:
sorry I don't Know ·ω·
Step-by-step explanation:
Wnte an equation in slope-intercept form of the line that passes through (-3, 2) and (-2, - 5).
WILL GIVE BRAINLIEST
An equation in slope-intercept form of the line that passes through (-3, 2) and (-2, - 5) is: C. y = -7x - 19.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-5 - 2)/(-2 + 3)
Slope (m) = -7/1
Slope (m) = -7
At data point (-3, 2), a linear equation in slope-intercept form for this line can be calculated as follows:
y - y₁ = m(x - x₁)
y - 2 = -7(x + 3)
y = -7x - 21 + 2
y = -7x - 19
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bowling team member distribution stronglys kewed right srs taken what is sampling distribution of sample mean hight
To recap, as long as the sampling size is large enough, the distribution of the means will be essentially normal. This discovery is most likely the most important result offered in beginning statistics courses. It is known technically as the Theorem of Central Limits.
When we use sample means to establish inferences about a population mean, we will repeatedly rely on the Central Limit Theorem. We now know that we can do it even if the population distribution is not regular.
How large a sample size do we need to assume that group means will be normally distributed? As we showed in the simulation, it all depends on the population demographics. The general rule
Generally, samples of size 30 or higher will have a fairly normal distribution, regardless of the shape of the variable's distribution in the population.
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A boxplot helps to visualize the variability of a distribution. Five statistics form a boxplot, often referred to as the five-number summary for the distribution. How much of the data in a boxplot is below the third quartile
Answer:
75%
Step-by-step explanation:
minimum data point to 1st quartile contains 25% of data
1st quartile to median contains 50% of data
median to 3rd quartile contains 75% of data
3rd quartile to maximum data point represents all of the data
Decide which of the choices below are solutions of 4x^2+8x-12=2(-2x+2). Circle yes or no for each. ChoicesX=1 yes or noX=-2 yes or no X=4 yes or noX=-4 yes or no
Given the expression;
\(4x^2+8x-12=2(-2x+2)\)We can find the solution by simplifying the expression and factorizing the simplified expression to get the solutions.
\(\begin{gathered} 4x^2+8x-12=-4x+4 \\ 4x^2+8x+4x-12-4=0 \\ 4x^2+12x-16=0 \\ 4(x^2+3x-4)=0 \\ \therefore x^2+3x-4=0 \end{gathered}\)We then factorize the quadratic expression above;
\(\begin{gathered} x^2+3x-4=0 \\ the\text{ factors are +4 and -1} \\ x^2+4x-x-4=0 \\ x(x+4)-1(x+4)=0 \\ (x-1)(x+4)=0 \\ \end{gathered}\)Therefore the solutions would give;
\(x=1,x=-4\)ANSWER: X=1 gives yes, x=-4 gives yes, the rest gives no
Value of the derivative of g(x)=8-10Cosx at 'x=0' is?
Answer:
g'(0) = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationPre-Calculus
Unit CircleCalculus
DerivativesDerivative NotationThe derivative of a constant is equal to 0Derivative Property: \(\frac{d}{dx} [cf(x)] = c \cdot f'(x)\)Trig Derivative: \(\frac{d}{dx} [cos(x)] = -sin(x)\)Step-by-step explanation:
Step 1: Define
g(x) = 8 - 10cos(x)
x = 0
Step 2: Differentiate
Differentiate [Trig]: g'(x) = 0 - 10[-sin(x)]Simplify Derivative: g'(x) = 10sin(x)Step 3: Evaluate
Substitute in x: g'(0) = 10sin(0)Evaluate Trig: g'(0) = 10(0)Multiply: g'(0) = 012. Rewrite the expression in terms of the given function: (sec x + csc x)(sin x + cos x) - 2 - tan x; cotx O A. 2cot x B. cot x C. 2 + cotx D. 0
Answer: cot x
Step-by-step explanation:
(sec x + csc x)(sin x + cos x) - 2 - tan x >simplify to sin/cos
\(=(\frac{1}{cos x } +\frac{1}{sin x}) (sin x + cosx) -2-\frac{sinx}{cosx}\) >find common denominator
for first parenthesis
\(=(\frac{sinx+cosx}{sin xcos x }) (sin x + cosx) -2-\frac{sinx}{cosx}\) >Multiply the first 2
parenthesis
\(=(\frac{sin^{2} x+2sin x cos x+cos^{2} x}{sin xcos x }) -2-\frac{sinx}{cosx}\) >Use identity sin²x+cos²x=1
\(=(\frac{1 +2sin x cos x}{sin xcos x }) -2-\frac{sinx}{cosx}\) >Combine all fractions with
common denominator
\(=\frac{1 +2sin x cos x-2sinxcosx -sin^{2}x }{sin xcos x }\) >Simplify
\(=\frac{1 -sin^{2}x }{sin xcos x }\) >Use identity sin²x=1-cos²x
\(=\frac{1 -(1-cos^{2}x) }{sin xcos x }\) >Distribute negative
\(=\frac{1 -1+cos^{2}x }{sin xcos x }\) >simplify 1-1
\(=\frac{cos^{2}x }{sin xcos x }\) >simplify cos/cos
\(=\frac{cosx }{sin x }\) >Use identity cot=cos/sin
= cot x
Answer:
Option B, cotangent x or cot x
Step-by-step explanation:
First, I set up some shorthand based how each trig function operates in order to set up some conversion factors. You can also use trig identities if you are more familiar with those as the other answer suggests. That way is easier but it requires you to know the trig identities. If not, using the basic principles from angles of a right triangle can help:
Sine of x is the opposite leg over hypotenuse so we say S = O / H
Cosine of x is adjacent leg over hypotenuse so we say C = A / H
Tangent of x is opposite over hypotenuse so T = O / A
Cosecant of x is hypotenuse over opposite so csc = H / O
Secant of x is hypotenuse over adjacent so sec = H / A
Cotangent of x is adjacent over opposite so cot = A / O
For this first portion we are going to not think about the - 2 - tan x portion of the equation because we must FOIL the first part.
(sec x + csc x)(sin x + cos x)
FOIL stands for First, Outsides, Insides, and Lasts, marking what terms are multiply together in order to make an equation so:
Firsts: sec (sin x)
Outsides: sec (cos x)
Insides: csc (sin x)
Lasts csc (cos x)
So the new equation is:
sec (sin x) + sec (cos x) + csc (sin x) + csc (cos x)
Now we use our conversion factors to change each multiplication set:
\(\frac{H}{A}(\frac{O}{H}) + \frac{H}{A} (\frac{A}{H}) + \frac{H}{O}(\frac{O}{H}) + \frac{H}{O}(\frac{A}{H})\)
Use your knowledge of multiplying fractions and how variables in the numerator and denominator can cancel each other out. You simplify to:
\(\frac{O}{A} + 1 + 1 + \frac{A}{O}\)
Now use the conversion factors again to convert what is left into trig functions. O / A is tan x. A / O is cot x.
tan x + 2 + cot x.
NOW, bring back the portion we neglected earlier, simplify and solve.
tan x + 2 + cot x - 2 - tan x
tan x - tan x + 2 - 2 + cot x
0 + 0 + cot x
0 + cot x
cot x, option B
focus (4,-3) directrix y=-3 what’s the equation for the parabola
The equation of the parabola is x² - 8x + 16 = 0
What is the equation of the parabolaTo find the equation of the parabola with focus (4, -3) and directrix y = -3, we can use the definition of a parabola.
A parabola is the set of all points that are equidistant to the focus and the directrix.
The distance from a point (x, y) to the directrix y = -3 is simply the vertical distance between the point and the line, which is |y - (-3)| = |y + 3|.
The distance from a point (x, y) to the focus (4, -3) can be found using the distance formula:
d = √[(x - 4)² + (y + 3)²]
Since the point is equidistant to the focus and the directrix, we have:
d = |y + 3|
Squaring both sides, we get:
(x - 4)² + (y + 3)² = (y + 3)²
Simplifying, we get:
(x - 4)² = 0
Thus, the equation of the parabola is simply:
x² - 4x - 4x + 16 = 0
x² - 8x + 16 = 0
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M is the point of intersection of the lines with equations 3x-3y=-7.5 and x+2y=0.5 Write down the coordinates of M
Answer:
(-1.5, 1)
Step-by-step explanation:
3x - 3y = -7.5
x + 2y = 0.5
Use system of equations to eliminate variable (In this case, it'll be substitution.)
x = -2y + 0.5
3x - 3y = -7.5
Substitute the first equation in for x
3(-2y + 0.5) - 3y = -7.5
-6y + 1.5 - 3y = -7.5
-9y + 1.5 = -7.5
-9y = -9
y = 1
Substitute y in for one of the equations to get x
x + 2y = 0.5
x + 2 = 0.5
x = -1.5
(-1.5, 1)
given an invertible 5 × 5 matrix a and a vector b in r 5 , then the matrix equation ax = b has a unique solution. true or false?
\(A^{(-1)\) exists and is unique, x is also unique. Therefore, the equation ax=b has a unique solution.
a collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.
True.
Since the matrix A is invertible, it has a unique inverse denoted by \(A^{(-1)}\). Therefore, we can solve the equation ax=b as follows:
\(ax = b\)
\(A^{(-1)} ax = A^{(-1)} b\\Ix = A^{(-1)} b\\x = A^{(-1)} b\)
∵ x is unique.
As a result, there is only one solution to the equation ax=b.
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Which test statistic should be used when computing a confidence interval given only the number in a sample, the sample mean and sample standard deviation?.
T test is used to compute the confidence interval, when the mean and standard deviation is given.
What is Standard Deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be very close to the set mean. The lower case Greek letter (sigma), again for population standard deviation, or even the Latin letter s, again for sample standard deviation, are most frequently used in mathematical texts and equations to represent standard deviation. Standard deviation may be abbreviated as SD. A random variable, specimen, statistical population, data set, as well as probability distribution's standard deviation is equal to the square root of its variance. When the number in a sample, sample mean and sample standard deviation is given, the test statistic that should be used when computing a confidence interval is t test
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when determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to:
When determining the size of a fact table, estimating the number of possible values for each dimension associated with the fact table is equivalent to: determining the number of possible values for each foreign key in the fact table.
The measures, metrics, or facts of a business process are contained in a fact table in data warehousing. In a star or snowflake schema, it sits in the middle, surrounded by dimension tables.
When several fact tables are employed, they are organized according to a fact constellation schema. The two types of columns that make up a fact table are typically those that hold facts and those that serve as a foreign key to dimension tables.
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Find an equation of the line in the form ax by=c whose x-intercept is 12 and y-intercept is 4, where a, b, and c are integers with no factor common to all three, and greater than or equal 0.
The equation of line whose x-intercepts is 12 and y- intercept is 4 is
3x + y = 36.
According to the given question.
We have a equation of line.
ax + by = c.
Also, x-intercept is 12 and y intercept is 4.
As we know that,the x-intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis and y coordinate is zero.
And, the y-intercept is the point where the graph intersects the y-axis and the x-coordinate is zero.
Therefore, we have two points (12, 0) and (0, 4).
So, the equation of line from the two point s(12, 0) and (0, 4) is given by
( y - 0) = (4 - 0/0 - 12)(x -12)
⇒ y = 4/-12(x -12)
⇒ y = -3(x -12)
⇒ y = -3x + 36
⇒ 3x + y = 36
By comparing the given equation of line ax + by = c with the above equation we get
a = 3, b = 1 and c = 36.
Hnce, the equation of line whose x-intercepts is 12 and y- intercept is 4 is 3x + y = 36.
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Simplify this expression
.
22z - 11z + 13
[?]z + [ ]
Answer:
11z+ 13
Step-by-step explanation:
22z - 11z = 11z
11z+ 13
the nth term of a sequence is n²+20
work out the first 3 terms of the sequence
The first 3 terms of the sequence are 21, 24 and 29
Working out the first 3 terms of the sequenceFrom the question, we have the following parameters that can be used in our computation:
n² + 20
This means that
f(n) = n² + 20
The first 3 terms of the sequence is when n = 1, 2 and 3
So, we have
f(1) = 1² + 20 = 21
f(2) = 2² + 20 = 24
f(3) = 3² + 20 = 29
Hence, the first 3 terms of the sequence are 21, 24 and 29
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in a heptagon, the degree measures of the interior angles are $x, ~x, ~x-2, ~x-2, ~x 2, ~x 2$ and $x 4$ degrees. what is the degree measure of the largest interior angle?
The degree measure of the largest interior angle of the given heptagon is 132.57 degrees.
The largest interior angle of the given heptagon. The degree measures of the interior angles of a heptagon are 7, with 7 sides or vertices, are $x, ~x, ~x-2, ~x-2, ~x+2, ~x+2,$ and $x+4$ degrees.
The sum of the degree measures of the interior angles of a polygon with n sides is given by $S = (n-2) \c dot 180^\circ$. The sum of the interior angles of a heptagon is given by $S = (7-2) \cdot 180^\circ = 900^\circ$.
The sum of the degree measures of the interior angles of the heptagon is equal to $x+x+x-2+x-2+x+2+x+2+x+4 = 7x+4$. To find the value of x, we will set this equation equal to the total sum of the interior angles:$7x+4 = 900^\circ$. Solving for x, we get$x = 128.57$
We may now substitute the value of x to get the degree measures of each of the angles in the heptagon:$x = 128.57^\circ$$x = 128.57^\circ$$x - 2 = 126.57^\circ$$x - 2 = 126.57^\circ$$x + 2 = 130.57^\circ$$x + 2 = 130.57^\circ$$x + 4 = 132.57^\circ$
To find the degree measure of the largest interior angle, we must look for the angle with the largest value. We can see that the largest angle measures $132.57^\circ$.
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Need help math question worth 30 points help plzzzzzz
Answer:
c
Step-by-step explanation:
because the real awnser is 57/4 but simpfly
Answer:
C) \(14\frac{1}{4}\)
explanation:
\(4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}\)
Use rounding to estimate the sum.
Estimate the sum.
78.9+71.2
Answer:
150
Step-by-step explanation:
add 79+ 71 because you rounded to get that number then add :)
150
When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.
Write the equation of a quadratic function whose graph has x-intercepts at x=3 and x=-4 and a y-intercept at 48.
Answer:
Step-by-step explanation:
okay i will answer but i dont see the question
5x + 9 equals 2x + 12. What is the value of x?
Answer: x = 1
Step-by-step explanation: When we have this kind of setup, we want to put our variables together on one side of the equation and our numbers together on the other side of the equation.
So first, let's put our variables together on the left side
by subtracting 2x from both sides of the equation.
That gives us 3x + 9 = 12.
Now we can move our numbers to the right by
subtracting 9 from both sides and we get 3x = 3.
Now divide both sides by 3 and x = 1.
A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are two kids in the class named Celia and Felicity.
What is the probability that Celia is first in line?
A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. Probability that Celia is at first in line is 1/n.
What is probability and permutation?Probability refers to potential.
A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1.
Probability of an event occurring is given by
P(E) = (No. of favourable outcomes)/ (No. of total outcomes)
Permutation: When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection.
Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems. Formula of permutation is given as
\(^{n}P_{r} = \frac{n !}{(n - r) !}\)
For finding probability of Celia at first position in class of n kids we will do permutation and then apply formula of probability.
Total ways of arranging n kids = n!
But is we fix Celia at first position then ways of arrangement will be (n - 1)!
\(P(E) = \frac{(n - 1)!}{n!} = \frac{1}{n}\)
n! = n (n - 1) (n - 2)
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A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. Probability that Celia is at first in line is 1/n.
What is probability and permutation?Probability refers to potential.
A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1.
Probability of an event occurring is given by
P(E) = (No. of favourable outcomes)/ (No. of total outcomes)
Permutation: When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection.
Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems. Formula of permutation is given as
\(^{n}P_{r} = \frac{n !}{(n - r) !}\)
For finding probability of Celia at first position in class of n kids we will do permutation and then apply formula of probability.
Total ways of arranging n kids = n!
But is we fix Celia at first position then ways of arrangement will be (n - 1)!
\(P(E) = \frac{(n - 1)!}{n!} = \frac{1}{n}\)
n! = n (n - 1) (n - 2)
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Discuss the difference between r and p.r represents the p represents theChoose the correct answers below- critical value for the correlation coefficient. -population correlation coefficient. -sample correlation coefficient.
The difference between r and p. r represents the p represents the
Sample correlation coefficient.
Now, According to the question:
What is sample correlation coefficient?
The sample correlation coefficient (r) is a measure of the closeness of association of the points in a scatter plot to a linear regression line based on those points, as in the example above for accumulated saving over time
The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations. The population correlation coefficient uses the population covariance between variables and their population standard deviations.
Hence, The correct answer is : Sample correlation coefficient.
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Do system requirements serve as benchmarks to measure the overall acceptability?
False, system requirements do not serve as benchmarks to measure the overall acceptability.
How is this determined?A system requirement is a configuration that depicts a system's ability or feature to satisfy the customers' genuine requirements.
It is regarded as a "must have" in a system for a software application to run effectively. If these conditions are not met, the system may experience installation and performance problems.
System needs are therefore seen as a requirement for pa systems to periodically access specific software. System requirements can't be used as a primary yardstick to gauge how desirable the finished system will be as a result.
Therefore, this claim is untrue.
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What is the experimental probability of rolling a number greater than four?
A 4/9
B 5/18
C 1/3
D none of the above
help me please