No. The pace of change affects the y-value, therefore having a higher beginning value does not guarantee it. The output may decrease if the function with the bigger beginning value has a slower rate of change.
This is further explained below.
What are functions?Generally, No. Even if the function had a higher beginning value, it does not always follow that it would always have a higher y-value. This is because the y-value also relies on the rate of change.
In conclusion, If the function with the higher beginning value has a slower rate of change, it is possible that the output may become smaller at some time in the future as a consequence of this.
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What is the constant of variation for the quadratic variation?
7y = 0.28x²
A. 0.04
B. 0.28
C. 0.98
D. 7
Answer:
A.004
Step-by-step explanation:
I been Doing this for some Years And I knw it cuz I go on it EvenyDay
solve this equation
9+7n=-2+2(n-7)
5x + 13 -x = 4x + blank
Answer:
13 for blank
Step-by-step explanation:
if I am correct i believe that you want both sides to equal each other
Gabriel is deigning a rectangular planter box for their garden.It needs to cover an area of 15 1/2 m2 . Gabriel wants it to be 7 3/4 m long. How wide does the planter box need to be?
The width of the planter box will be 2 meter.
What is mean by Rectangle?
A quadrilateral with four right angles is called a Rectangle.
The area of a rectangle is defined as length times width.
Given that;
The area of a rectangular planter box = [tex]15\frac{1}{2}[/tex] m²
The length of cover to cover a rectangular garden = [tex]7 \frac{3}{4}[/tex] meter
Since, The area of a rectangle = Length x Width
Let the width of planter box = x meter.
Then, We can substitute all the values we get;
The area of a rectangular planter box = Length x Width
⇒ [tex]15 \frac{1}{2} = 7 \frac{3}{4} * x[/tex]
Change into improper fraction as;
⇒ 31/2 = 31/4 × x
Solve for x as;
⇒ 31/2 = 31/4 × x
Divide by 31/4;
⇒ x = 31/2 × 4/31
⇒ x = 4/2
⇒ x = 2 meter
Thus, The width of the planter box will be 2 meter.
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Consider the function f(x)=3(2)−1.5x . What is the value of f(2)
The value of function f(2) is f(2) = 3
How to determine the value of the function?The equation of the function is given as
f(x) = 3(2) - 1.5x
Also, we have the function to be f(2)
This means that the value of x is 2
i.e we calculate f(x) when x = 2
Substitute 2 for x in the equation f(x) = 3(2) - 1.5x
So, we have
f(2) = 3(2) - 1.5 x 2
Evaluate the product
f(2) = 6 - 3
Evaluate the difference
f(2) = 3
Hence, the value of the function is 3
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Simply then factor the expression 10W-2(3W+4)+4
Answer:
6(w +2)
Step-by-step explanation:
Factorize the expression:
Multiply each term of (3w + 4) by 4. Then add the constants.
2(3w + 4) + 4 = 2*3w + 2*4 + 4
= 6w + 8 + 4
= 6w + 12
Now, GCF (greatest common factor) of 6w and 12 is 6.
= 6*w + 6*2
= 6(w + 2)
Solve this system of linear equations using substitution.
{(3x+2y=10),(2x+y=1):}
A (-8,17)
B(-4,17)
C(-8,6)
D (8,17)
[tex]y = 1 - 2x.....(3) \\ \\ 3x + 2(1 - 2x) = 10 \\ 3x + 2 - 4x = 10 \\ 3x - 4x = 10 - 2 \\ - x = 8 \\ \frac{ - x}{ - 1} = \frac{8}{ - 1} \\ x = - 8 \\ \\ \\ y = 1 - 2( - 8) \\ y = 1 + 16 \\ y = 17[/tex]
NOTE I FIRST DERIVED THE THIRD EQUATION FROM THE SECOND EQUATION BY MAKING Y THE SUBJECT OF THE EQUATION AND SUBSTITUTED THE DERIVED EQUATION TO THE FIRST EQUATION BY PLUGGING IN 1-2x IN THE PLACE OF Y AND SOLVED SO ON.
(-8,17)
OPTION A IS THE ANSWER.
GOODLUCK
Answer:
A
Step-by-step explanation:
3x + 2y = 10 → (1)
2x + y = 1 ( subtract 2x from both sides )
y = 1 - 2x → (2)
substitute y = 1 - 2x into (1)
3x + 2(1 - 2x) = 10
3x + 2 - 4x = 10
- x + 2 = 10 ( subtract 2 from both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
substitute y = - 8 into (2)
y = 1 - 2(- 8) = 1 + 16 = 17
solution is (- 8, 17 )
Levi needs to write 263,000,700,000 in scientific notation.
What is the sign of the exponent?
The sign of the exponent is the exponent will be positive because the number Levi needs to write in scientific notation is more significant than one. The correct option is c.
What is scientific notation?Scientific writing is a way of writing very large or very small numbers. It is written when a number from 1 to 10 is multiplied by a power of 10.
The number is 263,000,700,000
It is greater than one, so the sign of the exponent (^) will be positive.
Therefore, the correct option is c. The exponent will be positive because the number Levi needs to write in scientific notation is more significant than one.
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The question is incomplete. Your most probably complete question is given below:
The exponent will be negative because the number Levi needs to write in scientific notation is less than one.
The exponent will be negative because the number Levi needs to write in scientific notation is greater than one.
The exponent will be positive because the number Levi needs to write in scientific notation is greater than one.
The exponent will be positive because the number Levi needs to write in scientific notation is less than one.
1. An investment firm proposes a plan to help college graduates save for their future. Historical data has shown that the net worth at age 40 of college graduates who follow this plan is approximately normally distributed with a mean of $1,000,000 and a standard deviation of $250,000.
(a) Sketch a normal curve and label it with the mean and one, two, and three standard deviations on either side of the mean.
(b) Using the empirical rule, about what percent of college graduates who follow this plan will have at least 1.5 million dollars by age 40?
(c) Using the empirical rule, about what percent of college graduates who follow this plan will have between $500,000 and $750,000 by age 40?
(d) Using the empirical rule, what is the 84th percentile of the distribution? Justify your answer.
Considering the Empirical Rule, we have that:
a) The graph is given at the end of the answer.
b) 2.5% of college graduates who follow this plan will have at least 1.5 million dollars by age 40.
c) 13.5% of college graduates who follow this plan will have between $500,000 and $750,000 by age 40.
d) The 84th percentile of the distribution is of $1,250,000.
What does the Empirical Rule state?It states that, for a normally distributed random variable, approximately:
68% of the values in the distribution are within 1 standard deviation of the mean.95% of the values in the distribution are within 2 standard deviations of the mean.99.7% of the values in the distribution are within 3 standard deviations of the mean.For item b, 1.5 million dollars is 2 standard deviations above the mean, and considering the symmetry of the normal distribution, only 2.5% of the net worth are above that threshold.
For item c, these measures are between 2 and 1 standard deviations below the mean. Considering the symmetry of the normal distribution, we have that:
47.5% of the measures are between two standard deviations below the mean and the mean.34% of the measures are between one standard deviation below the mean and the mean.Hence the percentage is:
47.5% - 34% = 13.5%.
For item d, the 84th percentile of the distribution is of one standard deviation above the mean, as:
0.5 + 0.68 x 0.5 = 0.84.
Hence the 84th percentile of the distribution is given by:
$1,000,000 + $250,000 = $1,250,000.
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5. At the annual fall festival, Laney sets up a booth and sells wreaths and flower bouquets She has already received some requests,
so she knows she will need to make at least 8 houquets. Due to a shortage of evergreen branches, she cannot make more than
10 wreaths. In the month leading up to the festival, Laney will have time to put together at most 25 arrangements (either wreaths
or bouquets).
a. Write a system of inequalities for the scenario describing b bouquets and u wreaths
Answer:
Step-by-step explanation:
Let x and y stand for the numbers of Wreath and Flower bouquets, respectively.
We are told that:
x + y [tex]\geq[/tex] 8
and that:
x [tex]\leq[/tex] 10
plus:
x + y [tex]\leq[/tex] 25
-----------------
We can plot these inequalities to define the combinations of x and y that meet the requirements they set forth. See the attached image.
Any combination of wreath and flower bouquets found within the marked trapezoid are valid combinations of bouquets. The sample point (5,10) means that 5 wreath and 10 flower bouquets is a possible solution that meets all the requirements set forth above.
==============
Is (5,10) a valid combination?
x + y [tex]\geq[/tex] 8 5+10≥ 8? YES
x [tex]\leq[/tex] 10 5 [tex]\leq[/tex] 10? YES
x + y [tex]\leq[/tex] 25 5 + 10 [tex]\leq[/tex] 25? YES
Many other combinations are also possible. We need additional information to determine anythng more specific.
desribe a sequence of trransformations that take isoceles trapezoid 7 degrees to its image
From T to T', there is a 90 degree counterclockwise transformation.
Transformation entails shifting a shape's location.
A figure is transformed when it is moved from its original location to another.
Angle of Rotation: The extent of the angle at which a figure is rotated. The common rotational angles are 45°, 90°, and 180°. A transformation that does not alter the size of a figure is called an isometric transformation.
There is a right angle between the isosceles trapezoid T and its image T' (i.e. 90 degrees)
To the right of T is Figure T'.
This implies:
Trapezoid T will reach T' if a 90 degree counterclockwise turn is made through point D.
Therefore, a 90 degree counterclockwise transformation through point D is necessary.
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i need help with this
In the expression in order to least to greatest is,
[tex](\frac{1}{6} )^{6}[/tex] < [tex]6^{-3}[/tex] < [tex]\frac{6^{6} }{6^{2} }[/tex] < [tex]\frac{6^{12} }{6^{6} }[/tex] by using [tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex] formula.
Based on the given condition,
⇒ [tex]\frac{6^{12} }{6^{6} }[/tex] [tex]\frac{6^{6} }{6^{2} }[/tex] [tex]6^{-3}[/tex] [tex](\frac{1}{6})^{6}[/tex]
Negative numbers grow as they get closer to 0 and positive numbers grow as they distance from 0
First classify numbers as positive and negative
We can use formula,
[tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex]
We can write,
⇒ [tex]\frac{6^{12} }{6^{6} }[/tex] = [tex]6^{12-6}[/tex]
[tex]\frac{6^{12} }{6^{6} }[/tex] = [tex]6^{6}[/tex]
⇒ [tex]\frac{6^{6} }{6^{2} }[/tex]= [tex]6^{6-2}[/tex]
[tex]\frac{6^{6} }{6^{2} }[/tex] = [tex]6^{4}[/tex]
⇒ [tex]6^{-3}[/tex] = [tex]6^{-3}[/tex]
⇒ [tex](\frac{1}{6} )^{6}[/tex] = [tex]\frac{1}{6^{6} }[/tex] = [tex]6^{-6}[/tex]
So,
[tex]\frac{6^{12} }{6^{6} }[/tex] = [tex]6^{6}[/tex]
[tex]\frac{6^{6} }{6^{2} }[/tex] = [tex]6^{4}[/tex]
[tex]6^{-3}[/tex] = [tex]6^{-3}[/tex]
[tex](\frac{1}{6} )^{6}[/tex] = [tex]6^{-6}[/tex]
We can write,
[tex]6^{-6}[/tex] < [tex]6^{-3}[/tex] < [tex]6^{4}[/tex] < [tex]6^{6}[/tex]
Then,
[tex](\frac{1}{6} )^{6}[/tex] < [tex]6^{-3}[/tex] < [tex]\frac{6^{6} }{6^{2} }[/tex] < [tex]\frac{6^{12} }{6^{6} }[/tex]
Therefore,
In the expression in order to least to greatest is,
[tex](\frac{1}{6} )^{6}[/tex] < [tex]6^{-3}[/tex] < [tex]\frac{6^{6} }{6^{2} }[/tex] < [tex]\frac{6^{12} }{6^{6} }[/tex] by using [tex]\frac{x^{a} }{x^{b} } = x^{a-b}[/tex] formula.
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Arianys broke a cell sample into 99 batches, each weighing 6.6\times 10^{-6}6.6×10 −6 grams. How much did the original sample weigh? Use scientific notation to express your answer.
Arianys broke a cell sample into 99 batches each weighing 6.6 x 10⁻⁶, the weight of the original cell sample is 653.4 x 10⁻⁶ grams which when expressed in scientific notation is 6.534 x 10⁻⁴ grams
Arianys broke a cell sample into 99 batches each weighing 6.6 x 10⁻⁶
If the weight of each batch of the original cell sample is 6.6 x 10⁻⁶
The weight of 99 batches = 6.6 x 10⁻⁶ x 99 grams
The weight of 99 batches = 653.4 x 10⁻⁶ grams
The weight of the original cell sample is 653.4 x 10⁻⁶ grams
Scientific notation is a way of expressing numbers in decimal form that are too large or too small. The absolute value of the coefficient of any number is greater than or equal to 1 but it should be less than 10
As per scientific notation it can be written as 6.534 x 10⁻⁴ grams
Therefore, if Arianys broke a cell sample into 99 batches each weighing 6.6 x 10⁻⁶, the weight of the original cell sample is 653.4 x 10⁻⁶ grams which when expressed in scientific notation is 6.534 x 10⁻⁴ grams
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the average score of 100 students taking a statistics final was 72 with a stanndard deviation of 7. assuming a normal distribution, what is the probability that a student scored greater than 52
The probability of a student scoring higher than 52 is 0.0021.
When the data are normally distributed and the mean and standard deviation are known. Calculate the percentage of data that is greater than or less than a certain number. The standard normal distribution and the Z-score or the standard normal distribution for this.
In the question, the mean and standard deviation are provided as μ = 72 and σ = 7
It has also been said that the data is typically dispersed.
Determine the proportion or percentage of data that is greater than 52. The Z-Score, also known as the standard normal variate, is defined as:
Z = (x - μ) ÷ σ
Calculate the requisite Z-score by substituting the values of μ, σ, and x:
Z = (72 - 52) ÷ 7
Z = 2.857
The area under the curve is approximately 0.0021 on the right side of the Z value.
As a result, the probability of a student scoring more than 52 is 0.0021.
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600% of what number is 204?
Answer:
1346.4
Step-by-step explanation:
jose bought 2 hammers and “y” number of tarps. The total cost was $87. How many tarps did he buy
Answer: He bought y tarps
Step-by-step explanation: this confusing
a certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. a.how many cups of red paint should be added. write your answer in terms of a fraction using a "/" for the fraction bar and no spaces. the answer to the question is
Hence 3/7 cup of Red paint should be added to white paint to create a certain pink shade.
Given :
Three cups of red paint and seven cups of white paint are mixed to produce a particular hue of pink.
To determine how many cups of red paint to add to one cup of white paint.
What is the proportionality constant?
Red ∝ White
Red = K ( White)
=> 3 = K ( 7)
=> k = 3/7
Hence constant of proportionality is 3/7
Red = (3/7) White
1 Cup of white
=> Red = 3/7
Hence 3/7 cup of Red to be added.
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Tell whether each statement about 20 and 30 is true or false the greatest common factor is 5 true or false 10 is a common multiple true or false the least common multiple is 60. 2 is a common factor true or false
The true statements are:
The greatest common factor of 20 and 30 is 10.
The least common multiple of 20 and 30 is 60.
The common factor is 2.
Consider the numbers 20 and 30,
The factors of 20 are 1, 2, 3, 4, 5, 10, and 20.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The common factors are 1, 2, 3, 5, 6, 10 and hence the greatest common factors are 10.
And, 2 is a common factor.
The multiples of 20 are 20, 40, 60, 80, 100, ....
The multiples of 30 are 30, 60, 90, 120, ...
Therefore, the least common multiple is 60.
The GCF and LCM of 20 and 30 are 10 and 60 respectively. The common factor is 2.
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2.83 in expanded form
Answer:
2+0.8+0.03
Step-by-step explanation:
Help Please
Which of the following is equivalent to −4(2x + 3y) − 6(3q + 7p)?
A. −8x + 12y − 18q + 42p
B. −8x − 12y − 18q − 42p
C. −8x + 3y − 18q + 7p
D. −24(2x + 3y − 3q + 7p)
Answer: B. −8x − 12y − 18q − 42p
1 to the power of 2 + 2 to the power of 3 + 3 to the power of 4
Answer: 90
Step-by-step explanation:
A game console is 25% off the regular price of
$300. If sales tax is 6%, what is the total cost of the
game console?
Answer
238.5<br />
Explanation
Based on the given conditions, formulate:
300 × (6% + 1) × (1 − 25%) < br
/>Calculate the sum or difference:
300 × 1.06 × (1 - 0.25)<br
/>Calculate the sum or difference:
300 x 1.06 x 0.75< br />Reorder and group certain terms:
(300 × 1.06) × 0.75<br />Calculate: 318 x 0.75<br />Calculate the product or quotient:238.5< br />get the result: 238.5<br />Answer: 238.5<br />
M measures 12°
(a) Find the supplement of M.
(b) Find the complement of M.
168° is the supplementary angle of 12°.
The complement of the initial angle, which is 12 degrees, is 90 – 12 degrees, or 78 degrees.
What is an example of a supplementary angle?
Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
Two angles are said to be supplementary angles if they add up to 180 degrees. For example, if ∠A + ∠B = 180°, then ∠A and ∠B are called supplementary angles. Supplementary angles always form a straight angle (180 degrees) when they are put together.
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If the original angle is 12 degrees, then 90-12 = 78 degrees is the complement of that angle. Therefore, the angles of 12 degrees and 78 degrees are complimentary.
What is supplemetary and complementary angles?Two angles are said to be supplementary angles because they combine to generate a linear angle when their sum is 180 degrees. When two angles add up to 90 degrees, however, they are said to be complimentary angles and together they make a right angle.
complementary angles have a sum of 180 degrees. Supplementary and complementary angles can share a vertex or side but are not need to be near to one another.
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(7) Write the equation of a line that has a slope of -5 and passes through the point (2, -137
In order to find the equation of the line, take into account that the general form of the expression of the line can be written as follow:
y - yo = m(x - xo)
where m is the slope and (xo,yo) is a point of the line.
in this case you have m = -5 and (xo,yo) = (2,-137). Replace the previous values into the general expression of the line and solve for y:
y - (-137) = -5(x - 2)
y + 137 = -5x + 10
y = -5x + 10 - 137
y = -5x - 127
Hence, the equation of the line is y = -5x - 127
the value of the expression (-3.69)⁰?
The correct answer solved by indices and the value of the expression (-3.69)⁰ is: 1
What is indices based expression?
In mathematics, the indices expression are those whose base values are either same or constant can be solved with this method. This property states that the when the power is zero for any value or variable, then the output is 1.
According to the question, the given data states that the value of the expression (-3.69)⁰ can be calculated with the concept of indices:
As per indices property: any value or variable whose power is zero, can be consider as 1 in the answer.
Therefore, the value of the expression (a)⁰ = (-3.69)⁰ = 1.
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Which number is prime?
77?
57?
63?
59?
Two opposite numbers are 10 units away from each other. What are the numbers?
Answer:
-5 and 5
Step-by-step explanation:
5 + 5 = 10 and 5 and -5 are 10 spaces away from each other, hope this helps! :)
Answer:
5, -5
Step-by-step explanation:
5 = 5 units away from 0
-5 = 5 units away from zero
5 units + 5 units = 10 units
-5 to 5 = 10 units apart 5 and -5 are opposites of each other because positive is the opposite of negative and vice versa
hope this helped :) ^^
Answer and if you can put an explanation that would ben nice.
Explanation not necessary
The answer is b
In this image is the explanation, just click on it
There are c green notebooks on Sasha's desk. The number of red notebooks on her desk is 6 less than the number of green notebooks. How many notebooks are on Sasha's desk if all of them are either green or red
The formed equation for the green or red notebooks on the Sasha's desk is: 2c - 6
What is equation?
In mathematics, the statement based problems can be solved by forming the equation. And it consists of dependent variable as well as independent variable.
According to the question, the given parameters to form the equation for the given statement are as follows:
Green notebook on Sasha's desk: 'c'
Number of red notebooks: c - 6
Now, to calculate as well as form the equation for the number of notebooks on the Sasha's desk:
c + c - 6 = 2c - 6
Total number of notebooks on the desk is: 2c - 6
Hence, the formed equation for the green or red notebooks on the Sasha's desk is: 2c - 6
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What is the equation in slope-intercept form of the line that passes through the point (6, 3) and is parallel to the graph of y = −2 3 - 2 3 x + 12?
The line passing through the coordinates (6, 3) and parallel to the y=-23-23x+12 graph. The equation of the slope intercept form of the line is 23x+y-141=0.
Given that,
We have to find what is the slope-intercept equation for the line passing through the coordinates (6, 3) and parallel to the y = -2 3 - 2 3 x + 12 graph.
The coordinates are (6,3).
y=-23-23x+12
y=-23x-11
The above equation is in the form of equation of the line that is y=mx+b
m value is -23.
Now,
The formula for the equation of line's slope intercept is
y-y₁=m(x-x₁)
y-3=-23(x-6)
y-3=-23x+138
23x+y-3-138=0
23x+y-141=0
Therefore, the equation of the slope intercept form of the line is
23x+y-141=0.
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