The average rate of change of 2 represents that for each new skill learned, the time needed to learn the skill doubles.
How to obtain the average rate of change?The variables in this problem are given as follows:
Input variable x: skills task number.Output variable y: time it takes to learn the skill.The ordered pairs that represent the data-set in this problem are given as follows:
(1,4), (2,8), (3,16), and (4,32)
When x increases by one, the output y is multiplied by two, hence the data is modeled by an exponential function with a rate of change of two, due to the multiplication, and hence the interpretation is that it's value of 2 represents that for each new skill learned, the time needed to learn the skill doubles.
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simplify
3x^2 - 2x+ 1=
X=2
Answer:
3x²–2x+1=0
3x²+x–3x+1=0
(3x²+x)-(3x+1)=0
x(3x+1)-1(3x+1)=0
either (x-1) (3x+1)=0
x=1 or x=-⅓
Charlene was making some chocolate squares for her class party. She had 8 packages of the mix. Each package called for cup of milk. How many whole cups of milk would Charlene use for all 8 packages?
The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.
What is a square?A square is a type of quadrilateral that has four sides with four angle 90° at each edge.
The number of chocolate square mixture Charlene would use for the party = 8 packages.
The number of packages that require a cup of milk = 1
Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.
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A RESEARCH DEPARTMENT PRODUCED THE MARGINAL COST FUNCTION
C (X) =300- x/2 ,0 ≤ X ≤ 900
Where (c') x is in dollars and x is the independent variable C(0) =0.
Find the increase in cost C (x) if X increases from 300-310.
a.1475
b.1455
c.1555
d.2000
Answer: The correct answer would be D
Step-by-step explanation:
I’m just guessing ;)
If a perpetuity pays a cash flow (C) every time period, forever, how come it is not worth an
infinite amount of money right now? Explain.
Suppose you have a treatment that you suspect may alter performance on a certain task. You compare the mean of your sample to the norm. Further, suppose you use az-test for means and your result is statistically significant (z=2.70,p<0.05, one-taifed). Glven your statistically significant result, indicate which (if anyl of the following statements is true. Check each statement that is true. In other words, you may check none, one, several, or all of the statements. You have absoluidy disproved the null hypothesis ghat is, there is no ditference between the population means). You have found the protablity of the null hypothesis being true.
All of the assertions are false. A statistically significant finding does not necessarily imply that the null hypothesis has been proven incorrect, nor does it indicate how likely it is to be true.
What is a norm defined as?Generally speaking, the word "norm" describes something that is customary, typical, anticipated, or standard. Norms are established definitions of beneficial attitudes and actions that ought to be commonplace, or "the norm," whenever a group is working together. They apply to cooperation and collaboration.
What Is a Z-Test?When the variances are known and the sample size is large, a z-test is a statistical test that is used to assess whether two population means differ from one another.
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3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag. What is the probability that the tile selected will be green?
Answer:
80 percent
Step-by-step explanation:
Because there are green tiles so the possibility is 80 percent
Suppose A={−2,1,3,6,14}, B={−4,2,1,6,9}, and C={−2,6,9,12}. What is (A∩B)∪C?
Answer:
(A∩B)∪C = 1, 6, 12
Step-by-step explanation:
Any values A and B share with along with any unique values of C
In 1950, a U.S. population
model
was y = 151. (1.013)^t-1950 million
people, where t is the year. What did
the model predict the U.S. population
would be in the year 2000?
In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.
What is population model ?Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).
The model was given as y=151x(1.013)^t-1950
where the future time t = 2000
Then we can substitute the given year 2000 as the value of 't'
then we will have y=[151x(1.013)^(2000-1950)] = 288 million
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carry out the following matrix multiplications. for each problem, say what the function represented by each matrix does to the standard basis vectors and what the product of the two matrices would do to these vectors.
The row in the original matrix and the column in the primary matrix must match. Hence, the matrix product has the first matrix's number of rows and the second matrix's number of columns.
A matrix is exactly what?Read an overview of this subject. a collection of numbers lined up in rows or columns to form a flat array is called a matrix. The atoms, or units, of the matrix are the integers.
The matrix theory is what?The study of squares is the main focus of the mathematical field known as matrix theory. It started out as a branch of linear algebra but quickly expanded to cover topics in graph theory, algebra, combinatorics, and statistics.
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Why might young adults,in particular,value credit in case of emergency
Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.
This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.
Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.
Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.
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For her party can Nina fill fewer than 10 bags with treats between 10 and 20 bags between 20 and 30 bags or more than 30 bags explain
The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:
Between 20 and 30 bags.
What is a proportion?A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.
In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:
Number of bags = Number of treats / Treats per bag.
The values of these parameters are given as follows:
Number of treats: 78.Number of treats per bag: 3.Hence the numeric value of the expression is:
Number of bags = 78/3 = 26.
Which is a number between 20 and 30.
Missing InformationThe problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.
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Find theValue of x
40°
70°
(5x+10)°
Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.
therefore,\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)
Value of x = 20°
Hey! there . Thanks for your question :)
Answer:
20° is the correct answer.Step-by-step explanation:
In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.
Solution :-
For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :
Step 1: Making equation :
\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)
Solving :
\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)
Step 2: Subtracting 10 on both sides :
\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)
We get ,
\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)
Step 3: Dividing both sides by 5 :
\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)
On cancelling , we get :
\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)
Therefore , value of x is '20°'Verification :-
For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :
40° + 70° = 5(20°) + 10°110° = 100° + 10°110° = 110°L.H.S = R.H.STherefore , our answer is correct .
Hope , it'll help you! :)#\( \underline{ \sf{ \bold{ Keep \: Learning }}}\)asap i need help with my missing homework
Math Help Part 2 (Please Help)
Answer:
\(AB = 104\)
\(BE = 48\)
\(CG = 60\)
Step-by-step explanation:
see attachment for step-by-step
(Brainly won't let me post as it thinks there are inappropriate words!)
Brainliest? Get this correct What is the difference of the rational expressions below?
Answer:
A. \(\frac{x^2-3x+6}{x^2 - 2x}\)
Step-by-step explanation:
1. Move all of numerators above the corresponding common denominator
2. Multiply inside the parentheses then remove any remaining parenthesis to get your final answer to get your fraction.
Answer:
\( \dfrac{x^2 - 3x + 6}{x^2 - 2x} \)
Step-by-step explanation:
\( \dfrac{x}{x - 2} - \dfrac{3}{x} = \)
\( = \dfrac{(x)x}{(x)(x - 2)} - \dfrac{(x - 2)(3)}{(x - 2)(x)} \)
\( = \dfrac{x^2}(x - 2)} - \dfrac{3x - 6}{(x - 2)(x)} \)
\( = \dfrac{x^2 - (3x - 6)}{x^2 - 2x} \)
\( = \dfrac{x^2 - 3x + 6}{x^2 - 2x} \)
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Answer:
11,67
Step-by-step explanation:
In the order to get the answer, we need to get the right measurements. That is turn the cm into m or 60 cm to 0,6 m because 1 cm is 0.01m. How many cupboards in a kitchen that is 4,2 m long? To get the answer just divide 4,2 m with 0,6 m, and that is 11,67 cupboards in a 4,2 m long kitchen.
Please help with this question
Answer:
c.
Step-by-step explanation:
that is easy.
a matrix multiplied by a constant is multiplying every element in the matrix by that constant.
and subtracting a matrix from another is subtracting the elements on each position.
it is a simile as that.
for that reason I only need to look at the first, top left element to determine the correct answer :
-1×2 - 4×7 = -2 - 28 = -30
so, c. is the right answer.
the calculation in full :
2A =
-2 18 4
20 -20 4
-10 12 -10
4B =
28 -4 -4
24 -16 -12
-40 40 -28
so, 2A - 4B =
-30 22 8
-4 -4 16
30 -28 18
Lia has a red ribbon that is 2 1/2 inches long. She has a blue ribbon that is 4 times as many inches long. How long is the blue ribbon?
Answer:
10 inches long.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
I did 2.5*4 and got 10
What is the volume of a sphere with a diameter of 57.1 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
so we have to use the formula 4/3PiR^3
which if we do we get the volume of
V≈97478.08
Answer:
V≈97478.08cm³
Step-by-step explanation:
Using the formulas
V=4/3πr3
d=2r
V=1/6πd3
D=1
1/6·πd3 1/6π ·57.13≈97478.07565cm³
I hope this helps. I worked hard on this one.
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What is the sum of 3 of the interior angles of a regular pentagon?
5 stars and like
Answer: 540°.
Step-by-step explanation:
by
Abby owns a square plot of land. She knows that the area of the plot is between 2200 and 2400 square meters. Which of the following is a possible value for the side length of the plot of land.
The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.
What is the length?The length is the quantitative measurement of a distance from one point to another position.
Length can also refer to the size of an object that has width or/and height.
Data and Calculations:The square of 2,200m² = 46.9 meters (√2,200)
The square of 2,400m² = 48.99 meters (√2,400)
The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.
Thus, the possible value of the side length of the plot of land is A. 48 meters.
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Question Completion with Answer Options:A. 48 meters
B. 46 meters
C. 44 meters
D. 50 meters
(06.01)Four graphs are shown below:
Which graph represents a negative linear association between x and y?
Graph A
Graph B
Graph C
Graph D
Let $PQR$ be a triangle such that $\angle P = \angle Q + \angle R.$ Among all three exterior angles of triangle $PQR,$ what is the smallest exterior angle, in degrees?
Answer:
The exterior angle to the vertex P, measuring 90°
Step-by-step explanation:
The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:
mP = mQ + mR
mP + mQ + mR = 180°
Substituting (mQ + mR) by mP in the second equation, we have:
mP + mP = 180°
mP = 90°
this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.
Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.
So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.
The vertex of the graph of f(x) = |x – 3| + 6 is located at ( , ).
Hi!
This function is in \(y=a|x-h|+k\) form.
The vertex is always (h, k).
Using the given equation, your vertex is (3, 6).
Now, you might be thinking, "If it's "x - 3", then why isn't the vertex (-3, 6) instead of (3, 6).
This is because, if you look at the absolute value function form, is says "x - h", which means the opposite of "h". Therefore, it really is (3, 6).
Which of the following is the equation of a line perpendicular to the line
v==3¹x+1
, passing through the point (2,7)?
OA. -3x+y=-1
OB. 3x-y=-1
OC. -3x-y=1
D. 3x-y=1
The equation of a line perpendicular to the line v=3x+1, passing through the point (2,7) is -3y + 23 = x
What is the equation?Generally, To find the equation of a line perpendicular to the given line and passing through the point (2,7), we can use the point-slope form of a line.
The point-slope form of a line is:
y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line, and m is the slope of the line.
The slope of line v is 3. A line is perpendicular to another line if the product of their slopes is -1. Therefore, the slope of the line we are looking for is -1/3.
Substituting these values into the point-slope form, we get:
y - 7 = (-1/3)(x - 2)
This simplifies to:
y = -1/3x +23/3
Multiplying both sides by -3 gives us:
-3y = x - 23
Adding 23 to both sides gives us:
-3y + 23 = x
The equation of a line perpendicular to the line v=3x+1, passing through the point (2,7) is
-3y + 23 = x
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CQ
Correct question not found
Angle Pairs Introduction
1. A shirt is priced $24.99. and is on sale for 20% off and subject to 5% sales tax.
final cost of the shirt?
I
Answer:
$20.99
Step-by-step explanation:
The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:
final cost = $24.99(0.80)(1.05) = $20.99
5! The office needs cabinets. The price for the first type of cabinet is $10, it
needs 6 ft2 of floor space, and it has a storage volume of 8 ft. The price
for the second type of cabinet is $20, it needs 8 ft? of floor space, and it
has a storage volume of 12 ft. The company wants to spend no more
than $140 and the office can hold up to 72 ft2 of cabinets. How can the
storage volume be maximized?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of 6 ft² to be purchased and y represent the number of 8ft² cabinet to e purchased.
x > 0 and y > 0
6 ft² cabinet cost $10 and 8 ft² cabinet cost $20, only $140 is available to spend, therefore the cost equation is:
10 x + 20 y ≤ 140
Also the office can hold only 72 ft², the space equation is:
6x + 8y ≤ 72
The volume equation is:
V = 8x + 12y
From the graph attached, we have to find the point with maximum volume by testing the point (12, 0), (0,7) , (8,3)
For (12, 0): V = 8(12) + 12(0) = 96 ft³
For (0, 7): V = 8(0) + 12(7) = 84 ft³
For (8, 3): V = 8(8) + 12(3) = 100 ft³
The (8,3) point has the maximum volume. That is 8 6 ft² cabinet and 3 8ft² cabinet
Identify the axis of symmetry, vertex, and range for the quadratic function.