\(0.3x = 2.1\\\\\implies 10\times 0.3x = 10 \times 2.1~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 21\\\\\implies x = \dfrac{21}3 = 7\)
Rani bought a new field that is next to one she already owns (Fig.). This field is in the shape of a square of side 70m. She makes a semi circular lawn of maximum area in this field. (i) Find the perimeter of the lawn. (ii) Find the area of the square field excluding the lawn.
Answer:
1 = 440
2 = 4900cm^{2}
Step-by-step explanation:
square = 280cm perimeter and \(4900cm^{2}\) area
semi circle would have radius = 70cm
perimeter of semi circle = \(\frac{pi X diameter}{2}\)
pi x (70x2) = 440cm
but if its with the square it would be 650cm
What ray is a common side of
Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25
Answer:
-15
Step-by-step explanation:
When functions are "nested" like this (nested is not a math word; the mathy word is composed or composition) you need to start all the way on the inside.
f(g(-3))
means find g(-3) first, then put that answer into f.
g(x) = x - 7
g(-3) = -3 - 7
g(-3) = -10
We found g(-3) is -10, so now put -10 into f.
f(x) = 2x + 5
f(-10) = 2(-10) + 5
= -20 + 5
= -15
25 points and correct answer gets Brainliest
Find the solution of the system of equations
shown on the graph,
Enter the correct answer
Answer:
(0,4)
Because you look at both point they only come across each other at (0,4)
Answer: (0,4)
Explanation: What you're looking for is their point of intersection.
The point where the two lines intersect is the solution to the system.
In this case, the to lines intersect at the point (0,4).
So (0,4) is the solution to the system.
(m-n)(x)
(p-m)(x) (n - m)(0)
(p+m)(6)
Answer:
The answer is 0
Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=4 x
g(x)=2 x-5
By using the concept of function, it can be calculated that-
(g.f)(x) = 8x - 5
(g - f)(x) = -2x - 5
(g + f)(3) = 13
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here,
a) The given functions are
f(x) = 4x
g(x)= 2x - 5
(g.f)(x) = g(f(x)) = 2(4x) - 5 = 8x - 5
(g - f)(x) = g(x) - f(x) = 2x - 5 - 4x = -2x - 5
(g + f)(x) = g(x) + f(x) = 2x - 5 + 4x = 6x - 5
(g + f)(3) = 6 \(\times\) 3 - 5 = 13
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We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
Two angles are supplementary. All we know is that the smaller angle is 126 degrees fewer than the larger one. Find
the measure of the larger angle.
Answer:
Larger angle= 153°
Smaller angle= 27°
Step-by-step explanation:
Supplementary angles are two angles that add up to 180°
Let the smaller angle= x
Let the larger angle= y
X+y= 180... equation one
Y-126= x..... equation two
(Y-126) +y = 180
2y= 180+126
2y= 306
Y= 153°
Y-126= x.
153-126= x
27°=x
Find the average of the numbers 9 5/9 , 7 2/9 , 2 7/36 4 3/4.
Answer:
5.93
Step-by-step explanation:
\(Average= \frac{9+5/9+7+2/9+2+7/36+4+3/4}{4} = 5.930555\) or \(\frac{427}{72}\)
The sum of two integers is 9 their difference is 5 what are the 2 integers
please help me im lost
Answer:
y intercept: (0,-0.7)
x intercept: (-1.2,0)
Step-by-step explanation:
Dog Owners5. A city council wants to know if residents would like a dogpark. They sent a survey to every household in the city.The results of those who responded are shown in the tableat the rightNumbexof Dogs inHouseholdNumber ofHouseholds0513a What is an appropriate first step in finding the experimentalprobability that a household has 2 or more dogs?12182 or more129Find the product of the number of households withone dog and the number with two or more dogs.Find the difference of the number of households with twoor more dogs and the number with no dogs.© Find the sum of the number of households for each category.Find the difference of the number of households with no dogsand the number with one dog or more.b. What is the experimental probability that a householdhas 2 or more dogs?
Given:
A table represents a survey to know if residents would like a dog.
a) What is an appropriate first step in finding the experimental probability that a household has 2 or more dogs?
The first step is to find the total households
So, the answer will be option C
Find the sum of the number of households for each category.
b) What is the experimental probability that a household has 2 or more dogs?
First, the total number of households = 513 + 218 + 129 = 860
And the number of households has 2 or more dogs = 129
So, the probability = 129/860 = 0.15 = 15%
So, the answer will be 15%
simplify √([2m5z6]/[ xy])
The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:
Simplify the numerator:
√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)
= √2m√5z√6
Simplify the denominator:
√(xy) = √(x) * √(y)
Combine the numerator and denominator:
√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)
Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).
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The time to complete a standardized exam is approximately normal with a mean of 70 minutes and a standard
deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?
(A) 61.6 minutes
(B) 78.4 minutes
(C) 79.8 minutes
(D) 80.4 minutes
Which of the following polygons has reflective symmetry but not rotational symmetry?
a) square
b) regular decagon
c) kite
d) equilateral triangle
A kite has reflective symmetry but not rotational symmetry.
Define symmetry.In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling. Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape. When something is identical on all sides, it is said to be symmetrical. If a center dividing line (also known as a mirror line) can be drawn on a shape to demonstrate that both of its sides are identical, then the shape is said to be symmetrical.
Given,
A kite has reflective symmetry but not rotational symmetry.
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Which algebraic expression represents this word description?
The quotient of four and the sum of a number and three
Answer:
4÷(6+3)
Step-by-step explanation:
6+3 is the sum of a number and 3, and you divide 4 by that.
The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).
What is an expression?A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The quotient of four and the sum of a number and three,
The above statement can be written as,
4÷(x + 3)
Here, x is the number
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8x^3+12x^2y+6xy^2+y^3
Answer:
(2x−y)
Step-by-step explanation:
Debes utilizar la fórmula de cubo binomial, a
3 −3a 2 b+3ab 2 −b3 =(a−b) 3
donde a=2x y b=y.
Could someone help with this problem? I don't understand how to do it.
Use implicit differentiation to solve for dz/dx and dz/dy.
e^z=xyz
Here is what the answers are supposed to be:
dz/dx = yz/(e^z-xy)
dz/dy = xz/(e^z-xy)
Thanks!
The differentiation using implicit differentiation are \(\frac{dz}{dx} = \frac{yz}{e^z - xy}\) and \(\frac{dz}{dy} = \frac{xz}{e^z - xy}\)
Differentiating the function using implicit differentiationFrom the question, we have the following parameters that can be used in our computation:
\(e^z = xyz\)
To differentiate, we make use of chain rule which is represented as
\(\frac d{dx}(e^z) = \frac d{dx}(xyz)\)
\(\frac d{dy}(e^z) = \frac d{dy}(xyz)\)
When expanded, we have
\(\frac d{dx}(e^z) = \frac d{dx}(xyz)\)
\(\frac{d}{dx} (xyz) = yz + x(\frac{dy}{dx})z + xy(\frac{dz}{dx})\)
\(e^z * \frac{dz}{dx} = yz + x(\frac{dy}{dx})z + xy(\frac{dz}{dx})\)
Also, we have
\(\frac d{dy}(e^z) = \frac d{dy}(xyz)\)
\(\frac{d}{dy} (xyz) = xz + y(\frac{dx}{dy})z + xy(\frac{dz}{dy})\)
\(e^z * \frac{dz}{dy} = xz + y(\frac{dx}{dy})z + xy(\frac{dz}{dy})\)
From above equations, we have
\(e^z * \frac{dz}{dx} = yz + x(\frac{dy}{dx})z + xy(\frac{dz}{dx})\)
\(e^z * \frac{dz}{dy} = xz + y(\frac{dx}{dy})z + xy(\frac{dz}{dy})\)
Set dy/dx and dx/dy to 0
So, we have
\(e^z * \frac{dz}{dx} = yz + xy(\frac{dz}{dx})\)
\(e^z * \frac{dz}{dy} = xz + xy(\frac{dz}{dy})\)
Rewrite as common factors
\(e^z * \frac{dz}{dx} - xy(\frac{dz}{dx}) = yz\)
\(e^z * \frac{dz}{dy} - xy(\frac{dz}{dy}) = xz\)
These give
\((e^z - xy)(\frac{dz}{dx}) = yz\)
\((e^z - xy)(\frac{dz}{dy}) = xz\)
Make dz/dy and dz/dx the subject
\(\frac{dz}{dx} = \frac{yz}{e^z - xy}\)
\(\frac{dz}{dy} = \frac{xz}{e^z - xy}\)
Hence, the differentiated functions are \(\frac{dz}{dx} = \frac{yz}{e^z - xy}\) and \(\frac{dz}{dy} = \frac{xz}{e^z - xy}\)
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Lin runs 5 laps around a track in 6 minutes
A: how many minutes per lap is that
B: how many laps per minute is that?
C: if Lin runs 21 laps at the same rate, how long does it take her
Answer:
Lin runs 5 laps around the track in 6 minutes. = 6/5 minutes
Therefore, Time taken to cover one lap is 1.2 mintues.
Speed = Distance/Time
Speed = 6/5
So the speed is .83 laps per minute
and for the last one Lin took 25.30 minutes to run 21 laps.
because 0.83 x 21
A simple random sample of n subjects is selected in such a way that every possible sample of the same size n has the same chance of being chosen. (A simple random sample is often called a random sample, but strictly speaking, a random sample has the weaker requirement that all members of the population have the same chance of being selected.) Determine whether each of the following is a simple random sample and a random sample. Complete parts a through c. .. a. In Major League Baseball, there are 30 teams, each with an active roster of 25 players. The names of the teams are printed on 30 separate index cards, the cards are shuffled, and one card is drawn. The sample consists of the 25 players on the active roster of the selected team. This sample a simple random sample. It v a random sample. b. For the same Major League Baseball population described in part (a), the 750 names of the players are printed on 750 separate index cards, and the cards are shuffled. Twenty-five different cards are selected from the top. The sample consists of the 25 selected players. This sample V a simple random sample. It v a random sample c. For the same Major League Baseball population described in part (a), a sample is constructed by selecting the 25 youngest players. This sample a simple random sample. It a random sample.
This sample a simple random sample. It v a random sample.
What is simple random sample?A selection of participants from a population is randomly chosen by the researcher using simple random sampling, a sort of probability sampling. The probability of getting chosen is the same for every person in the population.A simple random sample is a subset of people picked at random from a larger group, all with the same probability. It is the process of choosing a sample at random.Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are the four main types of random (probability) sampling.This sample a simple random sample. It v a random sample.To learn more about simple random sample refer to:
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What is 88 x 9 - 60- 80+ 200
A: 792
B: 800
C: 852
D: 300
Answer:
852
Step-by-step explanation:
Answer:
852
Step-by-step explanation:
Using PEMDAS:
Multiply the numbers
88 × 9 - 60 - 80 + 200
792 - 60 - 80 + 200
Subtract the numbers
792 - 60 - 80 + 200
652 + 200
Add the numbers
652 + 200
= 852
[RevyBreeze]
According to the quantity equation, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply. Will velocity change over time? What factors might lead to changes in velocity? Are those changes related to changes in the money supply?
Velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.
According to the quantity equation (MV = PQ), changes in the money supply (M) will lead directly to changes in the price level (P) if velocity (V) and real GDP (Q) remain constant. However, velocity is not necessarily constant over time and can be influenced by various factors.
Velocity represents the rate at which money circulates in the economy, indicating how quickly money is used to facilitate transactions. It is influenced by factors such as changes in consumer and business behavior, technological advancements, financial innovation, and shifts in confidence and trust in the economy.
Changes in velocity can occur due to several reasons. For example:
Changes in Transaction Patterns: Shifts in consumer preferences or business practices can alter the frequency and speed of transactions, affecting how money circulates and influencing velocity.
Financial Innovation: Advancements in payment systems, such as the rise of electronic transactions, online banking, or mobile payments, can potentially impact the velocity of money by facilitating faster and more efficient transactions.
Confidence and Economic Stability: Changes in economic conditions, inflation expectations, or financial stability can influence people's willingness to hold money, affecting velocity.
Monetary and Fiscal Policies: Changes in monetary policy, such as interest rate adjustments or changes in the money supply, can indirectly affect velocity by influencing borrowing and spending behavior.
While changes in velocity can occur independently of changes in the money supply, they can also be related. For instance, if the money supply increases without a corresponding increase in the demand for money (velocity decreases), it can put upward pressure on prices. On the other hand, if velocity increases due to changes in transaction patterns or increased economic activity, it can offset the impact of changes in the money supply on prices.
Overall, velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.
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help plzzzzzzzzzzzzz
Explaination:
so there is a circle which is c of center O and its diameter AB= 6cm and xy is just a straight line passing through o which is the center
so that's all you need to understand to solve this question because on this site I can't really draw a figure but I hope this explaination helps
If a cube has volume 125cm³, find the height of the cube.
Answer:
height = 5 cm
Step-by-step explanation:
a cube has congruent sides (s)
the volume (V) of a cube is calculated as
V = s³
given V = 125 , then
s³ = 125 ( take cube root of both sides )
\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)
s = 5
then height = 5 cm
Brothers Inc. issued a 120-day note in the amount of $180,000 on November 1, 2019
with an annual rate of 6%.
What amount of interest has accrued as of December 31, 2019?
Answer:
Amount of interest = $1,805 (Approx)
Step-by-step explanation:
Given:
Amount invested = $180,000
Annual rate = 6%
Number of days = 61 days
Find:
Amount of interest
Computation:
Amount of interest = 180,000 x 6% x 61/365
Amount of interest = $1,805 (Approx)
Can someone help me with this math problem asap
The absolute value function for this problem is given as follows:
y = |x - 4| - 6.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
The coordinates of the vertex of the function are given as follows:
(4, -6).
The slope of 1 determines the leading coefficient a as follows:
a = 1.
Hence the function is given as follows:
y = |x - 4| - 6.
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Solve for k.
k + 4 over 2 = 3
Answer:
K = 1
Step-by-step explanation:
K + 2 = 3
K = 3 -2
K = 1
Answer:
K=2
Step-by-step explanation:
K+4 / 2 = 3
If you input 2 into the equation you get 3.
2+4=6
6/2 = 3
What type of transformation is shown?
Answer:
the third one.
Step-by-step explanation:
clockwise rotation of 90*
Answer:
clockwise rotation of 90 degrees
Step-by-step explanation:
Please put me as brainliest answer :)
Hurry please I will give brainly need this in about 15 mins help me help meee
Answer:
x = -2
Step-by-step explanation:
The first thing we can notice about this figure is that the two small outer triangles are congruent because of the given side congruence markings as well as the fact that the large triangle ABC is isosceles, thus angle A is congruent to angle C.
Using the above information, we can construct the equation:
3x + 2 = 2x
and solve it for x.
x = -2
The equation we constructed simply equates the corresponding sides of the two small outer triangles, as they are congruent by the CPCTC theorem.