Answer:
x=4
Step-by-step explanation:
In 2003, the annual sales at a company are $372,000. If sales are increasing at a rate
of 5% per year, in what year will the company's sales reach $1,000,000?
Answer:
20 years
Step-by-step explanation:
We start by writing an exponential equation;
FV = PV( 1 + r)^t
FV is the future value = 1,000,000
PV is present value = 372,000
r is rate = 5% = 5/100 = 0.05
t is time which we are looking for
1,000,000 = 372,000(1 + 0.05)^t
1.05^t = 1,000,000/372,000
1.05^t = 2.688
t ln 1.05 = ln 2.688
t = ln 2.688/ln 1.05
t = 20 years
List the RANGE of the function?
(2,5), (-1, 4), (2, 8), (5,5)
Answer: The Range is 5,4,8
Step-by-step explanation:
Answer: The range is [4,8]
Step-by-step explanation:
What you want to look for is the smallest and largest y values, the smallest value is 4 and the largest is 8.
When answering a problem like this you want to put the smaller value first, so in this case, we put 4 first
So the equation for range would be something like 4 \(\leq\) y \(\geq\) 8
We use [ , ] because the brackets need that the said value is included in the data set.
Therefore we use the range equation to create the answer
[4,8]
please help will be brainliest
\(3x + 2 > 11\)
Answer:
x>3
Step-by-step explanation:
Find the general solution of the given system.
dx/dt = 2x ? y
dy/dt = 4x ? 2y
Answer in this form x(t),y(t)=
What’s the final horsepower when driving a car in Denver (an elevation of 5,280 feet) that’s rated at 300 horsepower? A. 250. 4 B. 271. 5 C. 252. 48 D. 271. 28
The final horse power when the driving a car in Denver that's rated at 300 horsepower is 252.48 , the correct option is (c) .
In the question ,
it is given that ,
the power of the car is rated as = 300 horse power
we know that Rule of thumb states that for every 1000 feet the horsepower reduces by 3 percent .
that means ,
for percent of power loss at 1000 feet = 3%
So , the percent loss of power at 5280 feet is = (3/1000)×5280
= 0.003 × 5280
= 15.84 % .
So , 15.84% of 300 is = 47.52
So , the power loss is 47.52 .
the final horse power is = 300 - 47.52 = 252.48
Therefore , The final horsepower is 252.48 .
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What happens when light hits a leaf?
When light strikes a leaf, it can be absorbed by, reflected from or transmitted through the leaf. Plants appear green because they reflect and transmit slightly more green light than they do blue or red light. Chlorophyll also absorbs green light poorly.
Photosynthesis is essential to most life on Earth. Plants, algae, and some types of bacteria carry out the process by capturing solar energy to create oxygen and chemical energy stored in glucose (a sugar). Then, herbivores get this energy from eating plants, whereas predators get it from consuming other herbivores.
Plants absorb water (H2O) and carbon dioxide (CO2) from the soil and atmosphere during photosynthesis. Water is oxidized, which means it loses electrons, while carbon dioxide is reduced, which means it receives electrons, inside the plant cell. Water is converted into oxygen and carbon dioxide into glucose as a result. After storing energy inside the glucose molecules, the plant releases the oxygen back into the atmosphe.
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Zander is comparing the height and weight of his friends and family members. He'd like to create a data display to see if there is a relationship between his friends' height and weight. Below is the scatter plot he designed.
A scatter plot labeled Height and Weight is shown. The x-axis is labeled Height (in inches) and has tick marks ranging from 0 to 80, separated by increments of 10. The y-axis is labeled Weight (in pounds) and has tick marks ranging from 0 to 250, sepa
Explain, using complete sentences, whether or not this is the most appropriate format for representing this data and why. If it is not the best format, explain which format should have been used instead. (5 points)
Answer:
I believe it is a good representation because it shows the differences in the heights to the weights.
Answer:
No, I don't believe this is the most appropriate format, the scatter plot is good but the weight section is not labeled correctly, the dollar signs don't belong, they are irrelevant to weight and height. And the height section should be changed to feet instead of inches, it would just make more sense.
Please help i do not understand
Answer:
OPTION A
I CHOSE OPTION A AS THE ANSWER BECAUSE OPTI0N D CANNOT BE TRUE ACCORDING TO THE QUESTION AND OPTION B AND C ARENT TRUE BECAUSE IT WAS MENTIONED THAT AT 3 HOURS THE COST WOULD BE 140 $ BUT IN OPTION B IT SHOWS THAT THEY ALREADY ACHIEVED 200$ BEFORE IT EVEN BECAME 3 HOURS AND IT ISNT OPTION C BECAUSE IT CROSSED 150$ WHILE IT WAS 3 HOURS SO MOST LIKELY THE ANSWER IS TO BE OPTION A.
HOPE THIS HELPS YOU....
Find the volume of a right circular cane that has a height of 7.8 and a base with a diameter of 2.3.
Answer:
About 10.802
Step-by-step explanation:
Using the formula for a right circular cone, we can find that the volume is:
\(r=d\div 2 = 2.3 \div 2 = 1.15\\\\\dfrac{1}{3}\pi r^2 h = \dfrac{1}{3}\pi (1.15)^2 (7.8) \approx 10.802\)
cos theta = 3/5 and sin theta < 0. Identify the quadrant of the terminal side of theta and
find sin theta
The angle is in 4th quadrant and the value of \(sin\theta\) is -(4/5).
What is Trigonometry ?One of the most significant areas of mathematics, trigonometry has a wide range of applications. The study of the connection between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry." Therefore, employing trigonometric formulae, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.
There are two other sub-branch classifications for trigonometry. The two varieties of trigonometry are as follows:
Plane TrigonometrySpherical TrigonometryEverything is normal in Quadrant I, and Sine, Cosine, and Tangent are all positive.
However, the x direction is negative and the cosine and tangent become negative in Quadrant II.
Sine and cosine have negative values in Quadrant III.
Sine and tangent are negative in Quadrant IV.
since,
\(cos\theta = 3/5 (+ve)\\\ sin\theta\ is\ ( -ve)\).
So the angle is in 4th Quadrant.
we know,
\(sin^{2}\theta + cos^{2}\theta = 1\)
⇒ \(sin^{2}\theta = 1 - (\frac{3}{5}) ^{2}\)
⇒\(sin^{2}\theta = 1 - \frac{9}{25} = \frac{16}{25}\)
⇒ \(sin\theta = -\frac{4}{5}\) (since The angle is in 4th Quadrant)
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Which equation represents a line that has a slope of 3/4 and passes through the point ( 2, 1)
The equation of the line with a slope of 3/4 passing through the point (2,1) is y = (3/4)x - 1/2.
Define slopeIn mathematics, slope refers to the measure of steepness or incline of a line, usually denoted by the letter m.It is the ratio of the vertical change in position of two points on a line to their horizontal change.
The equation of a line with a slope of 3/4 passing through the point (2,1) can be found using the point-slope form of the equation of a line:
y - y₁ = m(x - x₁)
where m is the slope of the line, and (x₁,y₁) are the coordinates of the given point on the line.
Substituting the given values, we get:
y - 1 = (3/4)(x - 2)
Multiplying both sides by 4 to eliminate the fraction, we get:
4y - 4 = 3(x - 2)
Expanding the right-hand side, we get:
4y - 4 = 3x - 6
Adding 4 to both sides, we get:
4y = 3x - 2
Dividing both sides by 4, we get the final equation in slope-intercept form:
y = (3/4)x - 1/2
Therefore, the equation of the line with a slope of 3/4 passing through the point (2,1) is y = (3/4)x - 1/2.
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the marginal contribution is defined as: multiple choice
A. selling price per unit minus variable cost per unit
B. total fixed costs minus selling price per unit
C. variable cost per unit minus the selling price per unit
D. total fixed costs plus total variable costs
Selling price per unit minus variable cost per unit.
Option A is the correct answer.
We have,
Marginal contribution refers to the amount of revenue generated by each additional unit sold after deducting the variable costs associated with producing that unit.
It represents the incremental profit generated by selling one more unit.
Now,
To calculate the marginal contribution, you subtract the variable cost per unit from the selling price per unit.
This calculation takes into account the direct costs directly attributable to the production of each unit and provides insight into the profitability of each additional unit sold.
Thus,
Selling price per unit minus variable cost per unit.
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The goodness-of-fit measure that quantifies the proportion of the variation in the response variable that is explained by the sample regression equation is the coefficient of
Determination, also known as R-squared. The coefficient of determination, denoted by \(R^{2}\), is a statistical measure that ranges from 0 to 1 and indicates how well the regression equation fits the data.
An \(R^{2}\) value of 0 indicates that the regression equation does not explain any of the variation in the response variable, while an \(R^{2}\) value of 1 indicates that the regression equation perfectly explains all of the variation in the response variable. In general, a higher \(R^{2}\) value indicates a better fit of the regression equation to the data.
The formula for calculating \(R^{2}\) is:
\(R^{2} = \frac{SSR}{SSTO}\)
where SSR is the sum of squares due to regression (also known as explained sum of squares), and SSTO is the total sum of squares (also known as the total variation).
The coefficient of determination is an important tool in regression analysis because it helps to determine the strength and direction of the relationship between the independent and dependent variables.
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the set of order pairs (1,13),(2,17),(3,17),(4,19),(5,23)
The set of order pairs (1,13),(2,17),(3,17),(4,19),(5,23)
What is ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane.
An ordered pair's numerical values may be fractions or integers. The idea of an ordered pair is very helpful for word problems, statistics, and data comprehension.
• The given x-coordinates are 1,2,3, 4,5; Thus, the domain is {1,2,3, 4,5}
• The given y-coordinates are 13,17,17,19,23; Thus, the domain is {13,17,17,19,23}
• Since every value of x-coordinate have only one value of y-coordinates, it would be a function.
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find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = sin(xy), (9, 0)
To find the maximum rate of change of the function \(\(f(x, y) = \sin(xy)\)\) at the point (9, 0) and the direction in which it occurs, we can calculate the gradient vector and evaluate it at the given point.
The gradient vector of \(\(f\)\) is given by:
\(\(\nabla f(x, y) = \left(\frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}\right)\)\)
Let's calculate the partial derivatives:
\(\(\frac{\partial f}{\partial x} = y\cos(xy)\)\)
\(\(\frac{\partial f}{\partial y} = x\cos(xy)\)\)
Now, we can evaluate the gradient vector at the point (9, 0):
\(\(\nabla f(9, 0) = \left(0\cos(0\cdot 9), 9\cos(9\cdot 0)\right) = \left(0, 9\right)\)\)
The magnitude of the gradient vector gives us the maximum rate of change of the function at the point (9, 0). The magnitude of \(\(\nabla f(9, 0)\)\) is:
\(\(|\nabla f(9, 0)| = \sqrt{0^2 + 9^2} = \sqrt{81} = 9\)\)
So, the maximum rate of change of \(\(f\)\) at the point (9, 0) is 9.
To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:
\(\(\frac{\nabla f(9, 0)}{|\nabla f(9, 0)|} = \frac{(0, 9)}{9} = (0, 1)\)\)
Therefore, the maximum rate of change of \(\(f\)\) at the point (9, 0) occurs in the direction of the vector (0, 1), which is the positive y-direction.
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When 3x^2+ 18x - 21 = 0 is written in the form (x - p)^2= q, what is the value of q?
Answer:
16
Step-by-step explanation:
Just had the question
Please solve whatever this is, I’ll mark whoever gives me the right answer as brainliest!
Answer:
y= -a/bx +c/b
m= -a/b
b= c/b
Step-by-step explanation:
Hope this helps
What is the value of K?
k=
8
m
o
k
N
M
what is the answer to this ? :)
Answer:
k is 2, l=2√5, m=8√5
Step-by-step explanation:
Triangle MNO is half size of the triangle LON
Calculate all of those questions please and you will get the brainlist
Answer:
1.27Nm
2. 60Nm
3. 2.6m
Step-by-step explanation:
Work=Force×distance
=45×0.6
=27Nm
w=f×d
=30N×2m
=60Nm
d=w/f
=13500/5200
=2.6m
At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
If \( A \) is \( 4 \times 2, B \) is \( 4 \times 4, C \) is \( 5 \times 5, D \) is \( 2 \times 2, E \) is \( 4 \times 5 \), and \( F \) is \( 2 \times 5 \), find the size and number of entries of BE S
In conclusion the size of\(\( BE \) will be \( 4 \times 5 \).\)
To determine the size and number of entries of the matrix \( BE \), we need to consider the dimensions of the matrices \( B \) and \( E \) and perform matrix multiplication.
Given:
\(\( B \)\) is a\(\( 4 \times 4 \)\)matrix,
\(\( E \)\)is a\(\( 4 \times 5 \)\)matrix.
In matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix for the multiplication to be defined.
Since\(\( B \)\) has 4 columns and \(\( E \)\) has 4 rows, we can perform the matrix multiplication\(\( BE \).\)
The resulting matrix will have the number of rows from the first matrix (which is\(\( B \))\) and the number of columns from the second matrix (which is \\(( E \)).\)
Therefore, the size of\(\( BE \) will be \( 4 \times 5 \).\)
The number of entries in a matrix is determined by multiplying the number of rows by the number of columns. In this case,\(\( BE \)\) has\(\( 4 \times 5 = 20 \)\) entries.
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Select the correct answer.
What is the inverse of function f?
f (x) = X+7
Step-by-step explanation:
Inverse of a Function.
To find the inverse of the function f(x) = √(x+7), we need to interchange the roles of x and y and solve for y.
Let y = f(x) = √(x+7)
To find the inverse, we need to solve for x in terms of y.
Step 1: Square both sides of the equation to eliminate the square root:
y^2 = x + 7
Step 2: Solve for x:
x = y^2 - 7
So the inverse of the function f(x) is:
f^(-1)(y) = y^2 - 7
We can also express the inverse in terms of x:
f^(-1)(x) = x^2 - 7
Note that we changed the variable from x to y, and from y to x, when expressing the inverse function.
It is sufficient to test an analogy by asking what are its relevant similarities.
True or False
The statement that It is sufficient to test an analogy by asking what are its relevant similarities is false.
Analogy refers to the process of comparison of two or more items such that it explains some idea, or classification or familiarity and representativeness. Studying the analogies helps in enhancing, strengthening and reinforcing the skills in areas such as reading comprehension, homophones, deductive reasoning and logic.
Testing an analogy only by relevant similarities will produce partial results which might not be suitable to fully explain the reason. Hence, both relevant similarities and differences are to be considered for more detailed review. Different kind of analogies used to explain the differences or similarities are synonym and antonym, symbol and reference, degree of differences.
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Which of the following statements is true about the slope of the least squares regression line when the correlation coefficient is negative? a. The slope is negative. b. The slope is positive. C. The slope is zero. d. Nothing can be said about the slope based on the given information
The statement "a. The slope is negative" is true about the slope of the least squares regression line when the correlation coefficient is negative.
When the correlation coefficient is negative, it indicates an inverse relationship between the two variables. In a linear regression, the slope of the line represents the direction and magnitude of the relationship between the independent and dependent variables. A negative correlation coefficient indicates that as the independent variable increases, the dependent variable decreases. Therefore, the slope of the least squares regression line will also be negative.
The slope of the regression line is calculated using the formula: slope = correlation coefficient * (standard deviation of y / standard deviation of x). Since the correlation coefficient is negative and the standard deviation of x and y are positive values, multiplying a negative correlation coefficient by positive standard deviations will result in a negative slope. Hence, option "a. The slope is negative" is the correct statement.
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Evaluate the definite integral. Use a graphing utility to verify your result.
The value of the definite integral is -28/3
How to evaluate the definite integralUsing the power rule of integration, we can find the antiderivative of t^2 - 5 as follows:
∫(t^2 - 5) dt = (1/3)t^3 - 5t + C
where C is the constant of integration.
To evaluate the definite integral, we substitute the limits of integration into this expression and take the difference:
∫^-1_1 (t^2 - 5) dt = [(1/3)(1^3) - 5(1)] - [(1/3)(-1^3) - 5(-1)]
= (1/3 - 5) - (1/3 + 5)
= (-14/3) (16/3)
= -28/3
Therefore, the value of the definite integral is -28/3.
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Marie has a container of oatmeal. She uses 1/4 cup of the oatmeal for breakfast and 3/8 cup for a cookie recipe. What is the total change in the amount of milk she has? Why are 1/4 and 3/8 represented with negative numbers on the number line in the example
Answer:
-5/8
1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount
Step-by-step explanation:
Given that :
Breakfast = 1/4 cup of Oatmeal
Cookie recipe = 3/8 cups
Change in total amount had :
total amount used = (breakfast + cookie recipe)
= 1/4 + 3/8
= (2 + 3) / 8
= 5 / 8
Hence, change in amount had = - 5/8
1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount
What mass of titanium displaces 125.0 cm3, if the density of titanium is 4.51 g/cm3?
The titanium has a mass value of 563.75 grams
How to determine the mass of the titanium?From the question, the given parameters are
Density of titanium = 4.51 g/cm^3
Volume of benzene = 125.0 cm^3
The mass of the titanium is then calculated using
Density = Mass/Volume
Make Mass the subject of the formula
So, we have
Mass = Volume x Density
Substitute the known values in the above equation
So, we have the following equation
Mass =125.0 x 4.51
Evaluate the product in the equation
Mass = 563.75
Hence, the mass of the titanium is 563.75 grams
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Parrots are tropical birds. However, in some areas of New York City, some parrots have been able to survive outdoors year-round. These parrots survive, while most others cannot, due to
Parrots are tropical birds. These parrots survive, while most others cannot, due to a variation that allows these parrots to live in colder climate.
Parrots are found on all tropical and subtropical continents and regions including Australia and Oceania, South Asia, Southeast Asia, Central America, South America, and Africa. There are some important facts of Parrots are they can live over 100 years and also speak in like human voice. Parrots weight around 7 pounds.
About the diet of parrot, but all species are vary too what are available in the environment in which they live. Parrots are mostly eating fruits, nuts, chilly, grasses, leafy vegetation and all types of food.
And it also for help us to convey any message and about any story teller.
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two interior angles of a triangle each measure 34degrees what is the measure of the third interior angle
Answer:
112°
Step-by-step explanation:
The sum of the interior angles of a triangle is 180°
Let x = unknown angle
⇒ 34 + 34 + x = 180
⇒ 68 + x = 180
⇒ x = 180 - 68
⇒ x = 112°
Other angle be y
Apply angle sum property
\(\\ \rm\hookrightarrow 34+34+y=180\)
\(\\ \rm\hookrightarrow 2(34)+y=180\)
\(\\ \rm\hookrightarrow 68+y=180\)
\(\\ \rm\hookrightarrow y=112\)
Use the distributive property with factoring to find the equivalent expression. 24n + 32w = (3n + w)
Answer:
Step-by-step explanation:
24n + 32w = (3n + w)
We're asked to use distributive property, this means that we have to find a way that the given expression on the left hand side is equal to the given incomplete exresssion on the right hand side. In so doing, we're fulfilling the distributive property tag.
Given 3n, 3 factorises 24 into 8, and at the same time, factorises 32 into 4. Thus, we can then conclude that
24n + 32w = 8(3n + 4w)