\( \frac{1}{5} \)
Step-by-step explanation:
cold =25
large=5
\( \frac{5}{25} \)
divide it
\( \frac{1 }{5} \)
0.03249 in standard form to 3 significant figures is
(A) 3.24 × 10−1
(B) 3.24 × 10−2
(C) 3.25 × 10−2
(D) 3.25 × 10−3
Which of the following number sentences is an example of the identity property of addition?
1 + 11 = 11 + 1
16 x 0 = 0
8 + 0 = 8
0 1x 4 = 4
Answer:
the first is the correct answer
What is a mathematical equation
There are several methods to formulate a mathematical equation. A model, in its simplest basic form, is a quantitative declaration that two major theoretical findings are comparable.
What is the mathematical equation?A mathematical equation can be defined in a variety of ways. In its most basic form, a model is a mathematical assertion that indicates that two theoretical results are equal. 3x + 5 = 14, for example, is an equation inside which 3x + 5 and 14 are two formulas separated by an 'equal' sign. In mathematics, the most fundamental and elementary algebraic equations are comprised of one or more parameters.
Type of the mathematical equations are as follows:
Linear equationQuadratic equationCubic equationPolynomial equationRational equationA math statement is not the same as a maths problem. Between two arithmetic statements, a solution will always employ the equivalent (=) symbol.
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Answer: Equations can vary!
Step-by-step explanation: 1. Equations can be as simple as a math sentence with always an equal sign, make sure it balances, for example, 1+1=2
2. Equations can be complicated sometimes, with variables, but still you have to BALANCE both sides EQUALLY. One question is: 1+x=3
It seems simple and it is, and yeah you've actually done lots of equations throughout your life. Ever heard of algebra, it consists of equations, have you ever seen this 1+?=3? That's an equation with a variable that is represented as, or sometimes a box. You might take a look and say easy. I know, but the traditional steps are to take one on both sides first, but never forget what you do on one side you ALWAYS have to do to the other side. This is an easy equation question, there are going to be much more complex ones in the future.
a (a) Khairul pays $6 for parking his car in a shopping centre for 2.5 hours. Calculate (i) the parking charges per minute, (ii) the amount that he will have to pay if he parks his car in the shopping centre for hours.
Answer:
(i) $0.04, (ii) $2.4
Step-by-step explanation:
(i)
2.5 hours = 150 minutes
150 minutes -->$6
1 minutes --> $(6/150)
1 minutes --> $0.04
(ii)
for 1 hour he has to pay, $0.04 * 60 = $2.4
equation = for ?hours as not informed, $2.4 * hours parked in the centre.
What is (f−g)(x)? f(x)=3x5+6x2−5 g(x)=2x4+7x2−x+16
Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
(f-g)(x)= 3x⁵-2x⁴-x²+x-21
Step-by-step explanation:
Here we have,
Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
We know,
(f-g)(x)= f(x)-g(x)
= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)
On subtracting g(x) from f(x) we get,
(f-g)(x)= (3x⁵+6x²-5 - 2x⁴-7x²+x-16)
On simplify,
(f-g)(x) =3x⁵-2x⁴-x²+x-21
Hence,
(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21
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HELP ME please this is due tomorrow
Answer:(12 cm) x (7 cm) x (6 cm) x 8.4 =
4.2336 liters
In circle O, central angle COD has a measure of 48. Find the measure of arc BC. In your final answer, include all your work
Answer:
Measure of arc BC = 132°
Step-by-step explanation:
Measure of the central angle COD = 48°
Therefore, measure of arc AB = 48°
Since, segment AC is a diameter and central angle for a diameter is 180°.
Measure of major arc ABC = 180°
measure of arc AB + measure of arc BC = 180°
48° + measure of arc BC = 180°
Measure of arc BC = 180° - 48°
= 132°
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x≤ 44)? A. 0.025 B. 0.975 C. 0.84 D. 0.16
A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 option a) 0.025.
In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².
Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.
So in this case, we can write this as Z = (44 - 50) / 3 = -2
We have now obtained the standard score or standard deviation for the random variable X.
Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).
The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.
Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.
This probability represents the area under the standard normal distribution to the left of Z = -2.
To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.
Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.
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2x + y = 20
6x - 5y = 12
Answer:
x=7, y=6
Step-by-step explanation:
Answer:
x=7, y=6
Step-by-step explanation:
we expand the first formula by 5.
5(2x+y) = 20x5
10x + 5y= 100
then we add the two formulas together.
10x+5y+6x-5y = 100+12
since the 5y can be cancelled out, it is much easier.
16x = 112
x=7
now we can put x=2 into the first formula.
2x7+y =20
y=6
What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominato 36 hr : 40hr
Answer:
Hello there! :) Well the fraction would be 36/40 but in simplest form it would be 9/10.
Step-by-step explanation:
The way you simple it down would be by 4. 36 ÷ 4 = 9 and 40 ÷ 4 = 10. I hope this helps
Answer:
9/10
Step-by-step explanation:
You would first find the GCF. 36 factors: 1, 2, 3, 4, 6, 9, 12, 18, 36. 40 factors: 1, 2, 4, 5, 8, 10, 20, 40. The GCF would be 4, so divide by 4 on both sides and you would have the ratio 9 hr.: 10 hr. If using part to whole it would be 9/10.
Hope this helps
PQRS is a parallelogram. Angle QSP = 47°. Angle QSR = 24°, PST is a straight line.
Answer:
The value of x = 109°
angle PQS = 24°
Step-by-step explanation:
24° + 47° + x = 180° { angles on straight line }
=> 71 ° + x = 180°
=> x = 180° - 71°
=> x = 109°
Now,
Angle PQS = 24°
angle PQS = angle QSR { alternative angle }
Step-by-step explanation:
a)(i) x=109°
(ii)It's given that PST is straight line then PST=180°,and
PST=QSP+QSR+x
180° =47°+24°+x
180°=71°+x
180°-71°=x
109°=x
b)(i)PQS=71°
(ii)we know opposite angles are equal in parallelogram
so PSR=PQR=71°
Write a linear function for the graph, and state and interpret the slope and y-intercept for the given scenario:
Bamboo grows very quickly. Use the information in the graph to write an equation that models the height (y) at time (x).
The linear function for the given graph is y = x + 20.
What is a linear function?
A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:
y = mx + b
From the graph,
The coordinates of the given graph are (0,20) and (20,40)
Then, slope (m) = (40-20)/(20-0) = 20/20 = 1
and y-intercept (b) = 20
So, the equation will be y = 1x + 20
Hence, the linear function for the given graph is y = x + 20.
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A shirt has a list price of $24. It is on sale for $18. What is the rate of discount?
A. 6%
B. 25%
C. 18%
D. 33 (1/3)%
Answer:
25%
Step-by-step explanation:
24-25%=18
24 - 100%
6 - 25%
Sketch a graph of f(x)={- 5 if x < -2 2x-1 if-2 < x≤ 2 0 if x>2. (piecewise)
A graph of the given piecewise-defined function is shown in the image below.
What is a piecewise-defined function?In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.
In conclusion, this piecewise-defined function has a removable discontinuity.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y). Temperature Field: T(x,y)= 100 - x^(2) - 2y^(2).
As a result, the following parametric equations describe the motion of the heat-seeking particle: x = a - 2t and y = b - 4t
As per the question given,
To find the path of a heat-seeking particle placed at point P on a metal plate with a temperature field T(x,y) = 100 - x^(2) - 2y^(2), we need to use the gradient vector of T(x,y).
The gradient of T(x,y) is given by:
∇T(x,y) = (-2x, -4y)
The heat-seeking particle moves in the direction of maximum increase of temperature, so it moves in the direction of the gradient vector, that is, (-2x, -4y).
To find the path of the particle, we need to integrate the gradient vector starting at point P = (a,b), where a and b are the coordinates of the point on the metal plate where the particle is placed.
So the path of the heat-seeking particle is given by the following parametric equations:
x = a - 2t
y = b - 4t
where t is the parameter that represents time.
These equations represent a straight line in the direction of the gradient vector of T(x,y). The particle moves from point P in the direction of the gradient vector, with a speed proportional to the magnitude of the gradient vector.
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ASAP please helppp
Answer:
1.3
Step-by-step explanation:
Raise/run = slope aka distance in this situation
8/6 = 1.3
Answer:
10 units
Step-by-step explanation:
use the distance formula as thought in school
Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
Help me out fast pleaseeeeeeeeeeeeeee
Answer:
81 7/12
Step-by-step explanation:
75 5/12 - (-6 1/6)= 81 7/12
i need the whole problem done and i don’t understand, i need a step by step to show my work. its at 12. PLS HELP
The surface area of given triangular prism = 24 ft².
For the given triangular prism
Base = 2 ft
height = 3 ft
side = 3ft
We know that,
Surface area of triangular prism
= side x base + 3x base x height
= 3 x 2 + 3x2x3
= 6 + 18
= 24 ft²
Thus,
Surface area = 24 ft²
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explain how to graph the point (3, 8) on a coordinate grid.
Answer:
See below
Step-by-step explanation:
Start where the two axis (x and y) meet. This is point (0,0). In the ordered pair (3,8) move three units right and then 8 units up.
Given the speeds of each runner below, determine who runs the fastest.
Ron runs 12 feet per second.
Brooke runs 329 feet in 24 seconds.
Jessica runs 1 mile in 591 seconds.
Tony runs 645 feet in 1 minute.
Answer:
Brooke with 13 ft/sec
Step-by-step explanation:
Ron is (12 ft/second)
To figure out Brooke we have to divide 329 by 24 to figure out her feet per second.
329/24 = 13.7083 so already is ahead of Ron.
To figure out Jessica we must first figure out the length of a mile in feet to keep the feet per second denominator going.
1 mile= 5280 ft
so now we divide
5280/591 = 8.9340
So Jessica is not the fastest so Brooke still stands number 1.
For Tony we divide 645 by the number of seconds in one minute
there are 60 seconds in a minute so
645/60= 10.75
So the fastest is brooke.
Ron = 12 ft/sec
Brooke = 13 ft / sec
Jessica = 8 ft / sec
Tony = 10 ft/ sec
-6/5 - (-3/8)
Help please
Answer:
-0.825
Step-by-step explanation:
Did not know the options so do not know if this is right or not.
Here is ur answer.
- BRAINLIEST answerer
The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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Select all expressions that are equal to 8-12-(6+4).
8-6-12+4
B.
8-12-6-4
C.
8-12+(6+4)
8-12-6+4
D.
E.
8-4-12-6
Answer:
69.420
Step-by-step explanation:
idc
Answer is B and E
The other ones aren’t correct because there adding 4. It’s a negative 4, so any with the -4 would be correct
30 POINTS!!! PLEASE HELP ME! ASAP
Answer:
I think is higher
Step-by-step explanation:
is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p
Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.
Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.
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the complete question is
is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain
It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.
What is Momentum ?
The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .
So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,
whereas the object with 0 velocity will only have No (zero) momentum if the mass is also 0 .
Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .
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• Solve the compound inequalities as demonstrated in Elementary and Intermediate Algebra and the Instructor Guidance in the left navigation toolbar, in your online course. Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions.
• Show the solution sets written algebraically and as a union or intersection of intervals. Describe in words what the solution sets mean, and then display a simple line graph for each solution set. This is demonstrated in the Instructor Guidance in the left navigation toolbar, in your online course.
• Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.
◦ Compound inequalities
◦ And
◦ Or
◦ Intersection
◦ Union
–1 ≤ –3 + 2x < 17
7 – x ≥ 6 or 7x – 1 > 27
The solutions to the inequalities are
1 ≤ x < 10: And and Intersectionx ≤ 1 or x > 4: Or and UnionHow to determine the solution of the inequality?From the question, we have the following parameters that can be used in our computation:
–1 ≤ –3 + 2x < 17
7 – x ≥ 6 or 7x – 1 > 27
Inequality 1
Here, we have
–1 ≤ –3 + 2x < 17
Add 3 to all sides of the inequality
So, we have
2 ≤ 2x < 20
Divide both sides of the inequality by 2
So, we have the following representation
1 ≤ x < 10
The above represents the solution of the inequality expression
Inequality 2
Here, we have
7 – x ≥ 6 or 7x – 1 > 27
Add 1 or subtract to the sides of the inequality
So, we have
– x ≥ -1 or 7x > 28
Divide both sides of the inequality by the coefficient of x
So, we have the following representation
x ≤ 1 or x > 4
The above represents the solution of the inequality expression
The graphs of the inequalities are added as an attachment
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What is the length of AC?
3 ft
4 ft
N
4 ft
M
ОООО
9 ft
9 ft
18 ft
С
Answer:
the answer is 18 feet because that line in the middle of the triangle is half the size of AC