Answer: (a)
Step-by-step explanation:
Given
\(g(x)=x^2\)
Clearly, \(f(x)\) is obtained by shifting \(g(x)\) 3 units down and multiplying it by a certain factor to amplify it.
Checking the option which is 3 units below and multiplying by a factor
option (a) is meeting both the cirterias.
Please help me!!!!!!
Answer:
A = 51° b = 15.3858... c = 24.448
Step-by-step explanation:
Given: B= 39°
a = 19
and that it's a right triangle
so that means the other 3rd angle is
A+39+90=180
A= 51°
use SOH CAH TOA to remember how sin cos and tan fit on the triangle
Sin(x)=Opp/Hyp Cos(x)=Adj/Hyp Tan(x)=Opp/Adj
Let's use Tan to find b
Tan(b) = Opp / Adj
Tan(39) = b / 19
19*Tan(39) = b
15.38589... = b
use Pythagoras to find c
c = \(\sqrt{a^{2} +b^{2} }\)
c = \(\sqrt{19^{2} +15.3858^{2} }\)
c = 24.448....
If a= -5, what is the value of a^2-4/a+2
Answer:
-7
Step-by-step explanation: When a= 5, let's substitute all a's with 5 in the expression:
\(\frac{a^{2}-4 }{a+2}\\\frac{(-5)^{2}-4 }{-5+2}\\\\\frac{25-4}{-3}\\\frac{21}{-3} \\= -7\)
Directions: With the given jumbled letters, identify what is being described in every clause.
1. P-O-C-O-M-N-U-D---R-T-E-I-N-T-E-S
An interest is computed on the principal and on the accumulated past interests
2.
V-R-E-C-O-N-N-1-O-S---E-P-R-O-I-D
A time between successive conversions of interest
3. T-R-E-N-I-T-S-E---A-T-E-R
Computed by dividing the annual rate of interest and the number of conversions per year
4. U-T-Y-I-N-A-N
A sequence of payments made at equal and fixed intervals or periods of time
5. A-S-C-H---L-U-E-A-V
Equal to the down payment added to the present value of the installment payments
Answer:
1. compound interest
2.conversation period
3.interest rate
4. annuity
5.cash value
what is one task that you can have students do to help them develop the 1st standard for mathematical practice: make sense of problems and persevere in solving them?
Students who are proficient in math begin by defining a problem for themselves and searching for possible solutions.
They examine assumptions, limitations, connections, and objectives. Instead of just launching into a solution attempt, they formulate hypotheses regarding the structure and significance of the solution and outline a solution pathway. In order to get insight into the problem's solution, they take into account similar difficulties, try specific situations, and take the original problem in simpler forms. They track and assess their development, and if necessary, they alter their direction. A good puzzle not only involves more of the "real world" for a child than, instance, calculating the amount of paint required.
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Identify the perimeter of a rectangle in which h=8
ft and A=144x ft2
P = (8x + 16) ft
P = (16 + 36x) ft
P = (16x + 36) ft
P = (8 + 16x) ft
HELP
Therefore, the perimeter of the rectangle is. 24 units. the option d is correct, p = (8 + 16x) ft.
How to find perimeter of rectangle?To find the perimeter of a rectangle, you need to add up the lengths of all four sides of the rectangle. The formula for the perimeter of a rectangle is:
\(Perimeter = 2 * (length + width)\)
where "length" and "width" are the dimensions of the rectangle.
For example, if the length of a rectangle is 8 units and the width is 4 units, the perimeter would be:
\(Perimeter = 2 * (8 + 4) = 2 * 12 = 24 units\)
So, the perimeter of the rectangle would be 24 units. Or P = (8 + 16x) ft
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the complete question: Identify the perimeter of a rectangle in which h=8
ft and A=144x ft2
a. P = (8x + 16) ft
b. P = (16 + 36x) ft
c. P = (16x + 36) ft
d. P = (8 + 16x) f
Write a recursive sequence for the following:
27, 33.5, 40, 46.5
Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
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Answer: b
Step-by-step explanation:
Please help me out! answer all four questions please Im tired and want to go to bed.
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
1. 0.008
2. Square root of 64 is 8 and cube root of 64 is 4. The difference is 4.
3. Area=100 sq.cm. The side is 10 cm. so the perimeter is 4 x Side= 4x10=40 cm.
4. the two square roots of 25 are 5 and 5. Cuz 5 and 5 gives 25.
What is the 158th term of the sequence 8,6,4..?
Answer:
-306
Step-by-step explanation:
... -300, -302, -304, -306, -308, -310, -312 ...
What is the contribution of Arts and Crafts in our culture and society?
The contribution of Arts and Crafts in our Culture is explained below .
The Art and Crafts represents a collective memory of society.
Through expressive outlets of Arts and craft such as paintings, sculptures, music, literature and other art forms, presents a better historical fact-based records.
The Art expresses how it can be felt to exist in a particular time.
The Art is also communicative in nature because it helps people of various cultures to understand and communicate with each other through songs, pictures and stories.
Folk Arts and Crafts are highly unique for specific cultures and Society and tell us about the history and rich traditions of a region.
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Let H = {0, ±3, ±6, ±9, . . .}. Find all the left cosets of H in Z.
There are three left cosets of H in Z, given by:
H = {3k | k ∈ Z}
[1] + H = {3k + 1 | k ∈ Z}
[2] + H = {3k + 2 | k ∈ Z}
To find all the left cosets of H in Z, we need to find the equivalence classes of the relation x ~ y if and only if x - y ∈ H. That is, two integers are equivalent if their difference is a multiple of 3.
To find the left cosets, we choose a representative for each equivalence class. We can choose any integer in the class as the representative. Then, we add H to the representative to obtain the left coset.
For example, the equivalence class [0] consists of all integers that are multiples of 3. We can choose 0 as the representative. Then, the left coset is
[0] + H = {0 + 3k | k ∈ Z} = {3k | k ∈ Z}
Similarly, we can choose 1, 2 as the representatives for [1], [2], respectively, and obtain the left cosets:
[1] + H = {1 + 3k | k ∈ Z} = {3k + 1 | k ∈ Z}
[2] + H = {2 + 3k | k ∈ Z} = {3k + 2 | k ∈ Z}
We can continue this process to find all the left cosets. In general, there are three left cosets of H in Z, given by:
H = {3k | k ∈ Z}
[1] + H = {3k + 1 | k ∈ Z}
[2] + H = {3k + 2 | k ∈ Z}
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Simplify (4s^5t^-7/-2s^-2t^4). Write your answer using only positive exponents. Evaluate any numerical powers.
I'LL NAME YOU BRAINLIEST
please help!!
In positive exponents, the simplified form of the above polynomial is s⁷/t¹¹.
What is polynomial?A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here,
=4s⁵*t⁻⁷/-2s⁻²*-2t⁴
=s⁷/t¹¹
The simplified form of given polynomial is s⁷/t¹¹ in positive exponents.
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Please help, this was due yesterday. Ill give brainliest :) the red numbers (in order from top to bottom, left to right) are 112, 116, 234, 166, 400.
Graph the line with the equation y=1/6 + 7
Hey there!
\(Answer:\boxed{\text{Slope:}0}\boxed{\text{y-intercept:}(0,\frac{43}{6}) }\)
Graph coming up right below!
Hope this helps!
\(\text{-TestedHyperr}\)
Jan uses 4 1/5 yards of ribbon, she has 1 1/4 left. How many yards of ribbon did she start with
Jan used 4 1/5 yards of ribbon and has 1 1/4 yards left. Jan started with 109/20 yards of ribbon, which can also be expressed as 5 9/20 yards.
The amount Jan used: 4 1/5 yards
The amount Jan has left: 1 1/4 yards
To add these two amounts, we can convert both to improper fractions:
\(4 1/5 = (4 * 5 + 1) / 5 = 21/5\)
\(1 1/4 = (1 * 4 + 1) / 4 = 5/4\)
To convert the mixed fraction to an improper fraction, we multiply the whole number (4) by the denominator of the fraction (5) and add the numerator (1) to get the numerator of the improper fraction: (4 * 5) + 1 = 21.
Now we can add the two fractions:
\(21/5 + 5/4\)
To add fractions, we need to find a common denominator, which in this case is 20:
\((21/5) * (4/4) + (5/4) * (5/5) = 84/20 + 25/20 = 109/20\)
Therefore, Jan had a total of 109/20 yards of ribbon to start with.
To simplify the fraction, we can divide the numerator by the denominator:
\(109/20 \div 1 = 109/20\)
So Jan started with 109/20 yards of ribbon, which can also be expressed as 5 9/20 yards.
To convert the improper fraction to a mixed number, we divide the numerator (59) by the denominator (20) and express the remainder as a fraction:
59 ÷ 20 = 2 remainder 19
So, Jan started with 2 19/20 yards of ribbon.
In decimal form, this is approximately 2.95 yards.
Therefore, Jan started with approximately 2.95 yards of ribbon.
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need help on this one pls due in 20 minutes pls help
The vertices of image L'M'N' are L'(-5, -1), M'(0, -1) and N'(-5, -2). Therefore, option C is the correct answer.
Given that, triangles LMN has vertices at L(-1, 5), M(-1, 0) and N(-2, 5).
The vertices of image L'M'N' if the preimage is rotated 90 degree counterclockwise.
90° counterclockwise rotation: (x, y) becomes (-y, x).
Here,
L(-1, 5)→L'(-5, -1)
M(-1, 0)→M'(0, -1)
N(-2, 5)→N'(-5, -2)
Therefore, option C is the correct answer.
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One side of a kite is 8 cm less than four times the length of another side. The perimeter of the kite is 78 cm. Find the lengths of the sides of the kite
Answer:
\(9.4\:\mathrm{cm},\\9.4\:\mathrm{cm},\\29.6\:\mathrm{cm},\\29.6\:\mathrm{cm}\)
Step-by-step explanation:
A kite consists of two pairs of congruent adjacent sides. Therefore, we have the following equation:
\(2x+2(4x-8)=78\), where \(x\) is the length of the shorter sides.
Solving, we get:
\(2x+8x-16=78,\\10x=94,\\x=\fbox{$9.4\:\mathrm{cm}$}\).
Plugging in \(x=9.4\) into \(4x-8\), we get:
\(4(9.4)-8,\\37.6-8,\\\fbox{$29.6\:\mathrm{cm}$}\).
Therefore, two sides have length \(9.4\:\mathrm{cm}\) and two sides have length \(29.6\:\mathrm{cm}\).
a-If given that we were tasked to evaluate the model, between MAPE and R2 which of these parameters do we use?
b-If given that model A has a higher MAPE than model B but model B has a higher R2 than model A, then how do we choose among the two?
c-Between the MAPE , MAD and MSD, which of these parameters shall we use for accuracy measures and why?
a. When evaluating a model, we use R2 as a parameter for performance assessment.
b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.
c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.
When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.
The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.
When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.
Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.
Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.
It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.
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If x and y vary directly and y is 44 when x is 11, find y when x is 9.
The value of y when x is 9 and the constant of proportionality(k) is 4 is 36.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, x and y vary directly and y is 44 when x is 11.
Let, y ∝ x.
y = kx.
44 = 11k.
k = 44/11.
k = 4.
Now x = 9.
y = 4×9.
y = 36.
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Convert 9 feet and 4 1/2 inches to inches
Answer:
112 1/2
Step-by-step explanation:
9x12 = 108
108 + 4 1/2 = 112 1/2
A. 35
B. 130
C. 70
D. 65
Answer:
the answer is A
Step-by-step explanation:
ASAP Right answer only please??!!!!
Answer:
The answer is 17 or x is 17
13) (-4.3) (2,-1)
slope formula
Answer:
\(3 - ( - 1) \div 2 - ( - 4) \\ 3 + 1 \div 2 + 4 \\ 4 \div 6 \\ = \frac{2}{3} \)
h(x) = 2x + 5
g(x) = 3x + 2
Find h(x) · g(x)
A) 6x² - 19x + 10
C) 5x + 3x³ + 15x² + 15x
B) 6x² + 19x + 10
D) -6x³x² + 6x
Answer:
B
Step-by-step explanation:
(hx)(gx)
(2x+5)(3x+2)
6\(x^{2}\)+4x+15x+10
6\(x^{2}\)+19x+10
Answer B
An object has a mass of 7.2 kg and a density of 0.9 kg/m3.
Find the volume of the object in mº.
Answer:
mass=180kg and the volume=6m³.
then the formula to find density is= mass/volume
using this formula,180kg/6m³=30kg/m³
Answer:
8 m³
Step-by-step explanation:
Let v represent the volume. Recall that density is mass/volume, which here is 0.9 kg/m³. To find the volume of this object, divide the density into the mass:
7.2 kg
--------------- = 8 m³
0.9 kg/m³
find the value of 32½
Answer:
65 will be the correct answer
Step-by-step explanation:
32 1/2 may be a percentage. as such it is equivalent to 32.5 % or. 0.325.
32.5 % of 10 would be 3.25.
Subtract. 8 4/5−5 1/10 options 3 7/10 3 3/10 3 5/5 3 3/5
PLS HELP WILL MARK BRAINLIEST IF RIGHT!!!!!!!!!!!
Answer:
3 7/10
Step-by-step explanation:
are u sure this is highschool cuz this is too easy and im in middle school :/
Giving a test to a group of students, the grades and gender are summarized in the pictureGrades vs. Gender If one student was chosen at random,find the probability that the student was male.Probability = (Round to 4 decimal places)
we have that
total male=4+3+9=16
total female=17+18+7=42
total students=16+42=58
therefore
The probability that the student was male is
P=16/58
P=0.2759ms. consuelo uses sets of twenty tennis balls each to pass around her class of first graders in order for them to solve the following word problem:gracie has six tennis balls. bailey has 14 tennis balls. how many more tennis balls does bailey have than gracie?how does actually moving manipulatives around the class, like the tennis balls in the activity, help a learner more effectively solve problems? select all that apply.
Ms. consuelo uses sets of twenty tennis balls each to pass around her class of first graders in order for them to solve the following word problem: gracie has six tennis balls. bailey has 14 tennis balls.Therefore, Bailey has 8 more tennis balls than Gracie.
Moving manipulatives around the class like the tennis balls in the activity, helps a learner more effectively solve problems because it does the following:
Engages learners in hands-on learning: Learners can actively engage in learning by touching, moving, and observing the manipulatives, which help them understand concepts and solve problems.
Eliminates abstraction: Children can see, touch, and manipulate the objects, which reduces abstraction and helps children connect concepts to the physical world.Builds number sense: Through experience with manipulatives, children can acquire a sense of numbers and can learn concepts like more and less, bigger and smaller, addition, and subtraction.
Creates motivation: Manipulatives such as blocks, puzzles, and beads are fun and enjoyable for children to play with. This encourages children to engage in learning and increases their motivation to learn.
Increases retention: Children are more likely to remember a concept when they have had a physical experience with it. They can visualize and remember the problem-solving process, which helps to build knowledge and skills.According to the problem,Gracie has 6 tennis balls.Bailey has 14 tennis balls.
The question is asking how many more tennis balls does Bailey have than Gracie. Hence, the difference between the number of tennis balls Bailey and Gracie have is: 14 - 6 = 8
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You are making a coffee
table with a glass top surrounded by a cherry border.
The glass is 3 feet by 3 feet. You want the cherry border
to be a uniform width. You have 7 square feet of cherry
to make the border. What should the width of the border be?
Answer:
6 inches
Step-by-step explanation:
You want to know the uniform width of border around a 3 ft square coffee table that would have an area of 7 square feet.
Border areaThe area of the border is x feet wide by 3 feet long along each of the 4 sides, together with 4 corner squares that are x ft square.
A = 7 = 4(3x +x²)
Completing the square, we have ...
x² +3x +9/4 = 7/4 +9/4 . . . . . . divide by 4, add (3/2)² to both sides
(x +3/2)² = 4 . . . . . . . . . . . . simplify
x +3/2 = √4 = 2 . . . . . . square root
x = 1/2 . . . . . . . . . foot
The width of the border should be 6 inches.