Answer:
-2
Step-by-step explanation:
A boy has 800 he spends 160 what fraction of his original money does he have left
Answer:
Step-by-step explanation:
800-160=640
640/800=64/80
64/80=16/20
16/20=4/5
Answer=4/5
The fraction of his original money does he have left = 4/5 .
What is a fraction in math?
A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.A boy has = 800 and spends = 160
800-160=640
640/800=64/80
64/80=16/20
16/20=4/5
Therefore, his original money left =4/5
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3. What are the coordinates of the image C(3, 1) for the composition of translations (x, y)→x-5, y+7 followed by (x, y)→(x+3, y)
The coordinates of the image C(3, 1) for the composition of translations (x, y)→x-5, y+7 followed by (x, y)→(x+3, y) is (-2, 8) and (8, 1).
A translation of (-5,7) moves a point (x,y) on the plane 5 units left and 7 units up.
that is (x,y) → (x - 5, y + 7)
⇒(3,1) → (3 - 5, 1 + 7) → (-2, 8)
A translation of (3,0) moves a point (x,y) on the plane 3 units right and 0 units up.
that is (x,y) → (x + 3, y)
⇒(3,1) → (3 + 5, 1) → (8, 1)
Therefore the coordinates of the image C(3, 1) for the composition of translations (x, y)→x-5, y+7 followed by (x, y)→(x+3, y) is (-2,8) and (8, 1).
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Which radical expression is equivalent to x 1/8
Answer:
B
Step-by-step explanation:
using the rule of exponents
\(x^{\frac{a}{b} }\) = \(\sqrt[b]{x^{a} }\)
then
\(x^{\frac{1}{8} }\) ( with a = 1 , b = 8 )
= \(\sqrt[8]{x}\)
Hey bltchezzzz (jk i love u all)
I got $100 for doing a commercial, and I wanted to buy some Ariana merch, what should I get?
i love ari!
what were you thinking on buying? :)
g(x) is the transformation the parent function f(x)=x2 after being reflected over the x-axis and translated 4 units left. What is the equation for g(x)?
Answer:
Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.
the equation for g(x) after reflected over x axis and translated 4 units left
\(g(x)=-(x+4)^2\)
Given :
Parent function is \(f(x)=x^2\)
When a graph is reflected over x-axis then f(x)=-f(x)
When a graph is translated 'a' units left then we add 'a' with
f(x) becomes f(x+a)
Parent function f(x) is reflected over x-axis , multiply -1 with f(x)
so , \(f(x)=-x^2\)
Now we translate 4 units to the left, add 4 with x
\(g(x)=-x^2\\g(x)=-(x+4)^2\)
The final equation of g(x) is
\(g(x)=-(x+4)^2\)
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what is the value of x
Answer: x⁰ = 104⁰
Ok done. Thank to me :>
Movie tickets now cost seven dollars for adults over six years old. They cost six dollars a couple of years ago. What was the percent of increase?
Answer:
i think 3%
Step-by-step explanation:
Please help me I will give you the brai thing and extra points, it's math
Answer:
c
Step-by-step explanation:
The radius of a sphere with volume 288 pi cm^3
The radius of a sphere with volume 288π cm³ is equal to 6 centimeter.
How to calculate the volume of a sphere?In Mathematics and Geometry, the volume of a sphere can be calculated by using the following mathematical equation (formula):
Volume of a sphere = 4/3 × πr³
Where:
r represents the radius.
By substituting the given parameters into the formula for the volume of a sphere, we have the following;
288π = 4/3 × π × r³
r³ = 864/4
Radius, r = ∛216
Radius, r = 6 centimeter.
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How is -24x + 72 equivalent to -24(x-3)? I don't understand it
Answer:
Below
Step-by-step explanation:
-24(x-3)
-24x + 72 We used to distribute to get this
Compare the two equation
-24x + 72 = -24x + 72
We see they are the same that y they are equivalent.
Express 75 meters 250 millimeters into kilometers.
Answer:
0.07525 kilometers
Step-by-step explanation:
1 millimeter = 1 / 1000 meters
250 millimeters
= 250 / 1000
= 0.25 meters
75 meters 250 millimeters
= 75 + 0.25
= 75.25 meters
1 meter = 1 / 1000 kilometers
75.25 meters
= 75.25 / 1000
= 0.07525 kilometers
Write the equation of the line that passes through the points (-7,7) and (-6,-5)
Answer:
y= -12x - 77
Step-by-step explanation:
HOPE THIS HELPS
2. Find the measurement of angle ABD and angle DBC
A
4x+8
B
x+2
D
The value of angle ∠ABD=144° and ∠DBC=36°.
What Does the Term "Straight Line" Mean in Geometry?An endless figure without width is a straight line. It consists of an infinite number of points connected at both ends. It doesn't have any curves at all. It can be straight, angled, or vertical. We use a sleeping straight line or a standing straight line when explaining geometry to preschoolers.
\(ABC\) is a straight line,
Hence,
∠ABD+∠DBC=180°
(4x+8)+(x+2)=180°
5x+10=180°
5x=170°
x=34°
Hence,
∠ABD=4*34+8
∠ABD=144°
∠DBC=36°
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A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?
A) The majority of all fish in the pond weigh less than 2 pounds.
B) The average weight of all fish in the pond is approximately 2 pounds.
C) Approximately 30% of all fish in the pond weigh more than 2 pounds.
D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.
According to the sample data, the best conclusion supported by the sample data is that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds. The answer is (D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.
The conclusion that is best supported by the sample data is that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds, which is based on the fact that the sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds.
Therefore, options A and C are incorrect. The sample data does not provide enough information to determine the average weight of all fish in the pond, so option B is also incorrect.
The correct answer is D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds. This conclusion is supported by the sample data because the study specifically included a sample of 150 largemouth basses, of which 30% weighed more than 2 pounds. The other options are not supported by the sample data because the study does not include data on any other types of fish or the average weight of all fish in the pond.
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Hello! It would be wonderful if someone could help me with these 3 questions! Instead giving you 10 points, i'll bump it up to 20 points if someone could help me with these 3 questions <3
Answer:
Ration is the root word
They all have been described as a rational number because they all have a ratio.
I am so sorry I do not know the last one
Step-by-step explanation:
I hope this helps
Find the integral ∫tsin2tdt
∫tsin^2(t) dt = (1/4)*t^2 - (1/4)tsin(2t) + (1/8)*cos(2t) + C
where C is the constant of integration.
We can solve this integral using integration by parts.
Let u = t and dv = sin^2(t) dt. Then we have:
du/dt = 1,
v = ∫sin^2(t) dt = (1/2) * ∫(1-cos(2t)) dt = (1/2) * (t - (1/2)*sin(2t))
Using the formula for integration by parts, we have:
∫tsin^2(t) dt = uv - ∫v du/dt dt
= t*(1/2)*(t - (1/2)sin(2t)) - ∫(1/2)(t - (1/2)*sin(2t)) dt
Expanding and simplifying, we get:
∫tsin^2(t) dt = (1/4)*t^2 - (1/4)tsin(2t) + (1/8)*cos(2t) + C
where C is the constant of integration.
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Triangle LMN has vertices at L(0, 0), M(0,4), and N(-3,0). The triangle will be rotated 270° counterclockwise about the origin. What will
be the coordinates for point N'?
A (-3,0)
B. (0,-3)
C (0, 3)
D (3, 0)
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the mirror reflection.
Since the image of triangle is reflected along Y-axis,hence the coordinates of N after 270° rotation are
N ==> ( 3,0)
===> Option D.) is correct
Answer:(3,0)
Step-by-step explanation:
D
Assume a businessman has 6 suits and 7 ties. He is planning to take 3 suits and 2 ties with him on his next business trip. How many possibilities of selection does he have?
The businessman has the number possible combinations of suits are 420 and ties to take on his next business trip.
The businessman has 6 suits and 7 ties, meaning he has 42 possible combinations of suits and ties if he were to take all of them. Since he is only taking 3 suits and 2 ties, he would need to calculate the combinations of 3 suits from the 6 available and the combinations of 2 ties from the 7 available. The calculation for the number of combinations of 3 suits from 6 is 6C3, which is equal to 20. The calculation for the number of combinations of 2 ties from 7 is 7C2, which is equal to 21. Since there are 20 possibilities of suits and 21 possibilities of ties, the total number of combinations of suits and ties he can take on his next trip is 20 x 21, which is equal to 420.
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Let Z represent a standard normal random variable. P(Z>0) is equal to
0.0
0.5
0.45
0.9
A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.
A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).
Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.
Therefore, P(Z > 0) = 0.5, which is your answer.
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the measure of the angles of a triangle are shown in the figure below. solve for x.
Answer:
X = 23
triangle angles sum = 180
67 + 49 + (3x-5) = 180
3x + 111 = 180
3x = 69
x = 23
A point R (-2,5) is mapped to point R',as described by a translation of 6 units to the rights and 7 units down.Mark R' on the coordinate plane.
Answer:
(4, -2)
Step-by-step explanation:
Given a point R (-2,5), if the point R' is described by a translation of 6 units to the rights and 7 units down, then the coordinate of R' will be;
6 units to the rights is towards the positive x axis
7 units down is towards the negative y axis
R' = (-2+6, 5-7)
R' = (4, -2)
Hence the coordinate point of R' on the plane is (4, -2)
PLEASE GUYS THIS IS THE HARDEST MATH PORBLEMS PLEASE ASAP PLEASE I NEED HELP PLEASE T_T
The simplified form of R(x) is \(R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}\)
Simplifying an expressionFrom the question, we are to simplify the expression
From the given information,
\(f(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30}\)
and
\(g(x) =\frac{x^{2}-9x+20 }{x^{2}-12x+36}\)
Also,
\(R(x) = f(x) \div g(x)\)
∴ \(R(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30} \div \frac{x^{2}-9x+20 }{x^{2}-12x+36}\)
\(R(x) =\frac{x^{2}-11x+28 }{x^{2}-11x+30} \times \frac{x^{2}-12x+36 }{x^{2}-9x+20}\)
Factoring each of the quadratics
\(R(x) =\frac{x^{2}-7x-4x+28 }{x^{2}-6x-5x+30} \times \frac{x^{2}-6x-6x+36 }{x^{2}-4x-5x+20}\)
\(R(x) =\frac{x(x-7)-4(x-7) }{x(x-6)-5(x-6)} \times \frac{x(x-6)-6(x-6) }{x(x-4)-5(x-4)}\)
\(R(x) =\frac{(x-4)(x-7)}{(x-5)(x-6)} \times \frac{(x-6)(x-6)}{(x-5)(x-4)}\)
Simplifying
\(R(x) =\frac{(x-7)}{(x-5)} \times \frac{(x-6)}{(x-5)}\)
\(R(x) =\frac{(x-7)(x-6)}{(x-5)(x-5)}\)
\(R(x) =\frac{x^{2} -6x-7x+42}{x^{2} -5x-5x+25}\)
\(R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}\)
Hence, the simplified form of R(x) is \(R(x) =\frac{x^{2} -13x+42}{x^{2} -10x+25}\)
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Denise works for a company where the IT department charges her department for actual usage of a SharePoint server, determining how often users log in and how much storage space her department consumes. What type of IT funding model is the company deploying?
chargeback
The company is deploying chargeback type of IT funding model where the IT department charges her department for actual usage of a SharePoint server, determining how often users log in and how much storage space her department consumes.
What is IT funding model?A financing model is a planned, institutionalized strategy for creating a steady income stream to sustain an organization's core services and operations. Nonprofits need funding because it enables them to make investments in their operations and increase their overall effect. Securing funding is crucial to keeping your organization operational because nonprofits frequently rely on grants to assist with operational costs. Grants of all kinds are available to nonprofit organizations.
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If one set of opposite sides of a quadrilateral are parallel but not equal, then what would be the name of the quadrilateral??
Answer:
a trapezoid i think
Step-by-step explanation:
i hope this helps
Super sorry if if im wrong
I NEED HELP BEFORE 12:00 I’ll do anything
At 10:00 am, Han and Tyler both started running toward each other from opposite ends of a 10 mile path along a river. Han runs at a pace of 12 minutes per mile Tyler runs at a pace of 15 minutes per mile, HOW FAR DOES HE RUN AFTER AN HOUR?
Answer:
Tyler runs 4 miles, and Han runs 5 miles.
Step-by-step explanation:
60 minutes in an hour.
60/12=5 miles for Han
60/15=4 miles for Tyler
Perform the operation
(10x² – x + 1) – (9x – 2)
Help ASAP please
Answer:
10x^2-10x+3
Step-by-step explanation:
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a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why
Answer:
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
Step-by-step explanation:
Given that
Volume of cube = V = 2197 cubic feet
Side of cube = a =?
Height of ware house = h = 14 feet
In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h
In order to check this we have to find the side/height of crate
So,
\(V = a^3\\2197 = a^3\)
Taking cube root on both sides
\(\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet\)
So the height of cube is 13 feet.
Comparing the height of c and height of ware house we can conclude that
Height of Warehouse > Height of crate
h>a
14>13
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
A well, whose diameter is 3 m, has been dug 21 m deep and the earth dug out is used to form an embankment 4 m wide around it. Find the height of the embankment.
Answer:
31.875 m
Step-by-step explanation:
We can begin solving the problem by using the formula for the volume of a cylinder and the volume of a cone.
The volume of the well is given by the formula for the volume of a cylinder:
V = πr^2h
where r is the radius of the well (half the diameter, which is 3/2 = 1.5 m) and h is the depth of the well (21 m).
V = π(1.5)^2(21) = 42.5π m^3
The embankment is formed by the earth that was dug out of the well, and it has the shape of a cone. The volume of the cone is given by the formula:
V = 1/3 πr^2h
where r is the radius of the base of the cone (4 m) and h is the height of the embankment.
V = 1/3π(4)^2h = 4/3πh m^3
Now we know that the volume of the embankment is equal to the volume of the well:
V = 42.5π m^3 = 4/3πh m^3
Then we can solve for h by dividing both sides by 4/3π:
h = 42.5π m^3 * 3/4π = 31.875 m
So the height of the embankment is 31.875 m.
Jerry is presently twice as old as his brother and six years older than his sister. How many years from now will Jerry's age be $\frac{2}{3}$ of the combined ages of his brother and sister at that time
Using leaner equation we find that After 12 years from now will Jerry's age be (2/3) of the combined ages of his brother and sister at that time.
What is leaner equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Let Jerry's brother present age be X years,
Then Jerry's present age will be 2x
And his sister's present age will be 2X - 6
And let y be the number of years from now when Jerry's age = (2/3) of combined age of his brother and sister.
So we have that,
(2X + y) = (2/3) [(X + y) + (2X - 6 + x)]
simplify the above equation
2X + y = (2/3) [3X + 2y - 6]
multiply through by 3/2
3X + (3/2)y = 3X + 2y - 6
subtract 3X from both sides
(3/2)y = 2y - 6
subtract 2y from both sides
-1/2y = -6
divide both sides by -1/2
y = 12 years
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