Answer:
Step-by-step explanation:
area = pi * r^2
area = pi * 2^2
area = 4pi
area = pi * 4^2
area = 16pi
do parenthaseses change the result in an expression involving only addtion?
Answer:Yes
Step-by-step explanation:It changes the answer,
Answer:
Step-by-step explanation:
nope
Example:
5+(6+3) (+) (+) = +
5+9= 14
WILL GIVE BRAINLIEST*
A plane slices a double-napped cone parallel to the base of the cone. Which conic section is formed?
Answer:
A circle is formed.
Step-by-step explanation:
When a plane, parallel to the base of a cone, slices a cone, a circle is formed
and for proof:
please help!!!! need help asap!!!!!
Answer:
third option
Step-by-step explanation:
sinX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{YZ}{XY}[/tex] = [tex]\frac{3}{\sqrt{34} }[/tex]
tanY = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{YZ}[/tex] = [tex]\frac{5}{3}[/tex]
The minimum amount required by a bank to open a new checking account is $75. Write an inequality that represents the amounts in dollars a that could be used to open a new account.
The Inequality expression that shows the above situation is x ≥ 75.
What is inequality:The word "inequality" describes the state of being unequal, In Inequalities like in equations, we compare two values but not with the equal signs here we use signs like Not equal, less than, less than or equal to; greater than or greater than or equal to, etc.
Here we have,
The minimum amount required to open a new checking account is $ 75
Let us assume that we used $ x dollars to open a bank account
By the given data,
The amount is a minimum of $ 75
=> x ≥ 75 [ x is less than or equal to $ 75 ]
Therefore,
The Inequality expression that shows the above situation is x ≥ 75.
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Justin, age 52, wants to pay no more than $800 a year in life insurance. If the annual life insurance premium rate (per $1000 of face value) is $5.38, what is the largest 15-year term policy be can
buy without spending more than $800 annually?
O $80,700
O $148,700
O $538,000
O $800,000
The largest 15-year term policy he can buy without spending more than $800 per annum is $148,699.
What is insurance?
An agreement to pay compensation to another party in the event of a specific loss, damage, or injury is known as insurance, and it is a way to protect against financial loss. It is a type of risk management that is mostly applied to protect against the risk of a potential or unforeseen loss.
The terms "insurer," "insurance company," "insurance carrier," and "underwriter" all refer to organizations that offer insurance.
Given: Justin, age 52, wants to pay no more than $800 a year in life insurance. If the annual life insurance premium rate (per $1000 of face value) is $5.38.
Annual life insurance premium rate = $5.38 per $1000 of the face value.
Largest 15-year term policy possible
= [tex]\frac{800}{5.38}*1000 = 148,698. 885 = 148, 699[/tex]
Therefore, the largest 15-year term policy he can buy without spending more than $800 per annum is $148,699.
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Can someone help me solve this inequality 5x = 7x +4
What are the values of x and y that simultaneously satisfy the two linear equations graphed below? HELP PLEASE
Answer:
D
Step-by-step explanation:
x=9 and y=4 is given in the graph, this makes the answer between B and D
Since y=-⅔x+10 and y=x-5, 4=-⅔(9)+10 and 4=9-5
So the answer is D
Andy, Bobby, and Cindy each went for a walk yesterday afternoon. Andy walked 2 3/4 at a constant speed of 2 1/2 mi/h. Beth walked 1 3/4 mi at a constant speed of 1 1/4 mi/h. Cathy walked for 1 h and 16 min at a constant speed of 1 1/4 mi/h. List the three people in order of the times they spent walking from least time to greatest time.
In linear equation ,The correct order from least time to greatest time is: Andy, Beth, Cindy.
Describe a linear equation using an example.
An equation with only one variable is referred to as a linear equation in one variable.
It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.
Consider the provided information,
Andy walked [tex]2\frac{3}{4}[/tex] mi at a constant speed of [tex]2\frac{1}{2}[/tex] mi/h.
As we know
Time = distance/speed
= [tex]\frac{2\frac{3}{4} }{2\frac{1}{2} }[/tex]
= [tex]\frac{11/4}{5/2}[/tex]
= 11/40
Therefore, Andy takes 1.1 hours.
Beth walked 1 1/2 mi at a constant speed of 1 1/8 mi/h .
time = [tex]\frac{1 1/2}{ 1 1/8}[/tex]
= 3/2/ 9/8
= 4/3
Therefore, Beth takes 1.33 hours.
Cindy walked for 1 h and 24 min at a constant speed of 1[tex]\frac{1}{4}[/tex] mi/h.
1 hour 24 min = 1 + 24/60 = 1.4 hours
Therefore Cindy takes 1.4 hours.
Andy spent least time i.e 1.1 hours and Cindy spent greatest time i.e 1.4 hours.
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The bill at dinner was $58.24 before tax and tip.
There is a 6% sales tax. After the tax, an 18% tip is
added.
What is the total including tax and tip? show answer
Total amount payable including sales tax and tip = $68.12
What is sales tax?A sales tax is a tax levied by a government on the sale of certain goods and services. Generally, laws allow the seller to collect tax funds from the consumer at the point of sale. A use tax is a tax on goods or services paid directly to a governing body by a consumer.
Given:
Bill at dinner was before tax and tip = $58.24
Sales tax = 6%
Tip = 18%
As per the question:
first, we will calculate the amount payable after adding tax.
The amount payable after adding sales tax = bill + 6% sales tax of the bill
The amount payable after adding sales tax = 58.24 + [tex]\frac{6}{100} 58.24[/tex]
Amount payable after adding sales tax = A = $57.73
Now we will calculate the total amount payable after adding the tip.
Total amount payable = A + 18% of A
Total amount payable = $57.73 + 18% of $57.73
Total amount payable = 57.73 + 10.40
Total amount payable including sales tax and tip = $68.12
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Total amount payable including sales tax and tip = $68.12
What is sales tax?A sales tax is a tax levied by a government on the sale of certain goods and services. Generally, laws allow the seller to collect tax funds from the consumer at the point of sale. A use tax is a tax on goods or services paid directly to a governing body by a consumer.
Given:
Bill at dinner was before tax and tip = $58.24
Sales tax = 6%
Tip = 18%
As per the question:
first, we will calculate the amount payable after adding tax.
The amount payable after adding sales tax = bill + 6% sales tax of the bill
The amount payable after adding sales tax = 58.24 +
Amount payable after adding sales tax = A = $57.73
Now we will calculate the total amount payable after adding the tip.
Total amount payable = A + 18% of A
Total amount payable = $57.73 + 18% of $57.73
Total amount payable = 57.73 + 10.40
Total amount payable including sales tax and tip = $68.12
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which inequality is less than the quadratic function with zero -7 and 1 and includes the point (2,27/2) on the boundary?
The second inequality, y < (3/2)x² + 9x -21/2, is less than the quadratic function with zero -7 and 1 and includes the point (2, 27/2).
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
Given that, the zeros of the quadratic function are -7 and 1 and include the point (2,27/2).
Substitute x = 1 into the given inequality to check whether any of them becomes less than 0 or not:
From the first inequality:
y < -3/2 + 9 + 21/2
y < 18
From the second inequality:
y < 3/2 + 9 -21/2
y < 0
Since the inequality is less than 0, it is also less than the quadratic function at x = 1.
Similarly, checking the third inequality also gives y < 0, but the fourth doesn't.
Now, from the second and the third inequality, check which one is less than 27/2 for x = 2:
From the second inequality:
y < 6 + 18 -21/2
y < 27/2
From the third inequality:
y < -6-9+21/2
y < -27/2
Since the second inequality, y < (3/2)x² + 9x -21/2, is less than 0 at x =1 and less than 27/2 at x=2, it is also less than the quadratic function whose zeros are -7 and 1 and includes the point (2,27/2).
Hence, the second inequality, y < (3/2)x² + 9x -21/2, is less than the quadratic function with zero -7 and 1 and includes the point (2, 27/2).
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Answer:
it’s B took the test
Step-by-step explanation:
Begin a rhythm: clap, whistle, click (your fingers), snap, stomp, clap, whistle, click, snap, stomp, clap, whistle, click, snap, stomp, clap, whistle, click … What will you be doing on the 51st beat? Explain
Answer:
clap
Step-by-step explanation:
since the rhythm repeats every 5, then you will be clapping on the fifty first beat. on the 6th beat in the rhythm, its a clap, so since 50/5 is 10 then the next will be clap
Find the domain and solve 2*4^(sqrt(5x^2-8x)+1)+4=33*2^(sqrt5x^2-8x)
To find the domain of the expression 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)), we need to consider the values of x for which the expression is defined.
First, we need to consider the square root term, sqrt(5x^2-8x). The square root of a number is only defined for nonnegative values, so we need to find the values of x for which 5x^2-8x is nonnegative. We can do this by setting 5x^2-8x equal to 0 and solving for x:
5x^2-8x=0
5x(x-8)=0
We can see that x=0 and x=8 are the solutions to this equation. Since the square root of a negative number is not defined, the expression 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)) is only defined for x values that are greater than or equal to 0 and less than or equal to 8. This means that the domain of the expression is x ∈ [0, 8].
To solve the equation 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)), we can start by isolating one of the exponential terms on one side of the equation. Let's isolate the term 2^(sqrt(5x^2-8x)):
24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x))
22^(2sqrt(5x^2-8x)+1)=332^(sqrt(5x^2-8x))
2^(2sqrt(5x^2-8x)+1)=16.52^(sqrt(5x^2-8x))
2sqrt(5x^2-8x)+1=4.5+sqrt(5x^2-8x)
sqrt(5x^2-8x)=3.5
5x^2-8x=12.25
5x^2-8x-12.25=0
We can use the quadratic formula to solve this equation for x:
x = (-(-8) ± sqrt((-8)^2 - 45(-12.25))) / (2*5)
x = (8 ± sqrt(64 + 97)) / 10
x = (8 ± sqrt(161)) / 10
x = (8 ± sqrt(289)) / 10
x = (8 ± 17) / 10
x = -9/10 or 25/10
Since x must be greater than or equal to 0 and less than or equal to 8, the only solution that is within the domain of the expression is x=25/10, or x=2.5.
Therefore, the solution to the equation 24^(sqrt(5x^2-8x)+1)+4=332^(sqrt(5x^2-8x)) is x=2.5.
what do you mean by domain of a function?
The domain of a function is the set of all input values for which the function is defined. In other words, it is the set of all values that can be plugged into the function as an argument, or input, and produce a valid output
For example, consider the function f(x) = x^2. The domain of this function is all real numbers, since the function is defined for any value of x. However, some functions may not be defined for certain values of x. For example, the function g(x) = 1/x is not defined for x=0 because division by zero is not allowed. In this case, the domain of the function g(x) would be all real numbers except for x=0.
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somebody please help!!
Step-by-step explanation:
since AD is an altitude (height) of ABC, the angle at D must be 90° (that is the definition of an altitude or height).
so,
90 = x² + 6x + 18
72 = x² + 6x
0 = x² + 6x - 72
the general solution to such a quadratic equation
ax² + bx + c = 0
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = (-6 ± sqrt(6² - 4×1×-72))/(2×1) =
= (-6 ± sqrt(36 + 288))/2 = (-6 ± sqrt(324))/2 =
= (-6 ± 18)/2 = -3 ± 9
x1 = -3 + 9 = 6
x2 = -3 - 9 = -12
so, the 2 solutions are
x = 6
x = -12
Melody made a brownie for a potluck. She cut the pan of brownies into equal size pieces. At the end of the potluck, there were 6 brownies left over. Explain how you can find the number of pieces in the whole pan of brownies if Melody told you that 2⁄5 of the
pan was left. Use a drawing to show your work.
We are told that 6 is two-fifths of the brownies. So we can figure it out as such:
[tex]\frac{6}{x} = \frac{2}{5}[/tex]
Cross multiply
6 * 5 = x * 2
30 = 2x
Divide both sides of the equal sign by 2 to get x by itself
[tex]\frac{30}{2} =\frac{2x}{2}[/tex]
15 = x
15/5 = 3. Every third piece is 1/5 of the pan.
In a sample of 4972 car owners, 2326 said that they would seriously consider purchasing an electric-powered vehicle. What is the point estimate for the proportion of all car owners who would seriously consider purchasing an electric-powered vehicle?
The point estimate proportion that they would seriously consider purchasing an electric-powered vehicle is 0.468.
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.
let y be 2326 said that they would seriously consider purchasing an electric-powered vehicle and x be the sample of 4972 car owners.
∴ The point estimate proportions is y = px.
2326 = 4972p.
p = 2326/4972.
p = 0.468.
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A street light is mounted at the top of a 6-meter-tall pole. A man 2 m tall walks away from the pole with a speed of 1.4 m/s along a straight path. How fast (in m/s) is the tip of his shadow moving when he is 15 m from the pole?
2.1m/s is the tip of his shadow moving when he is 15 m from the pole
What are Similar Triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole. i assume the man and pole are standing straight up, which means the 2 triangles are similar.
(y-x)/y=2/6
(y-x)/y=1/3
Apply cross multiplication
3(y-x)=y
3y-3x=y
2y=3x
y=3/2x
differentiate both sides with respect to t or time.
dy/dt=3/2dx/dt
By given dx/dt=1.4m/s
dy/dt=3/2×1.4
dy/dt=2.1m/s
Hence, 2.1m/s is the tip of his shadow moving when he is 15 m from the pole
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Find x and y in the figure below
One of the interior angles of the triangle, angle y is equal to 67° and the exterior angle x is equal to 113°.
Sum of interior angles of a triangle.The interior angles of a triangle have a total sum of 180°.
Considering the triangle with interior angles: y, 51°, and 62° we have that;
y + 51° + 62° = 180°
y + 113° = 180°
y + 113° - 113° = 180° - 113° {subtract 113° from both sides}
y = 67°
the exterior angle x and the angle y lie on a straight line, so they sum up to 180°.
x + 67° = 180°
x + 67° - 67° = 180° - 67° {subtract 67° from both sides}
x = 113°
Therefore, the interior angle y = 67° and the exterior angle x = 113°.
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Given that ABCD is a rectangle, where EC=7 x-3 and AE=4 x+8 . Find DE.
The length of side DE of the rectangle ABCD is 11/5 units .
What is rectangle?
In euclidean plane geometry, a rectangle may be a quadrilateral with four right angles. It also can be outlined as: an angular quadrilateral, since angular means all of its angles square measure equal; or a tetragon containing a right angle.
Main body:
given:
AE = 4x+8 -----------(1)
CE = 7x - 3 -----------(2)
as we know diagonal of rectangle bisect each other , which means AE = CE
using the property , we get
4x+ 8 = 7x -3
taking like terms to one side,
7x - 4x = 8+3
3x = 11
x = 11/3
put the value of x in any equation,
AE = 4(11/3) +8
AE = 44/3 +24/3
AE = 68/3
as AE = DE
Hence the value of DE is 68/3 units.
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"constant of proportionality" between to cost and number of classes is 16. what is the unit rate for dollers per class?
The required unit rate for the dollars per class is 16 dollars per class,
Given that,
The "constant of proportionality" between to cost and the number of classes is 16. The unit rate for dollars per class is to be determined.
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
Let, y be the dollars is directly proportional to the x classes,
According to the question,
y = kx
k = 16
y = 16x
Now,
y/x = 16 dollars per class
Thus, the required unit rate for the dollars per class is 16 dollars per class,
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Help me pls i need help
Answer:
Step-by-step explanation:
oh wow
hi can you please help me complete this work.
The two column proof is written as follows
Statement Reason
line UT ≅ line GH given
line UV ≅ line GH given
< U ≅ < G given
Δ TUV ≅ Δ BEC Congruent triangles by SAS
< F ≅ < V CPCTC theorem
What is congruency of triangle?Triangles are said to be congruent when the sides and angles equal in accordance to to the triangle congruency rules
Some of the rules include
Side - Side - Side = SSS
Side - Angle - Side = SAS
Angle - Side - Angle = ASA
Angle - Angle - Side = AAS
Hypotenuse and one leg = HL
The problem requires the prove by Side - Angle - Side = SAS to ensure that the the triangles are congruent
The SAS have it that the two sides of the triangles being compared should be equal and the included angles are equal
The given sides and the included angle are
line UT ≅ line GH Side
< U ≅ < G included angel
line UV ≅ line GH Side
< F ≅ < V CPCTC theorem
According to the CPCTC theorem, whenever two triangles are congruent, then each of their corresponding parts are also congruent. In other words, if two or more triangles are congruent, then their corresponding sides and angles are also congruent or equivalent in size.
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You want to have a $70,000 college fund in 13 years. How much will you have to deposit now under the scenario below. Assume that you make no deposits into the account after the initial deposit.
An APR of 7.4% compounded daily
You will able to deposit X=7000.182500⁴⁷⁴⁵/182537⁴⁷⁴⁵now under the scenario Below.
What is initial deposit?A minimum deposit or initial deposit is the lowest minimum amount of the money required to open an object account with all the financial institution, such as the bank or the brokerage firm.
Based on the given scenario the formulate is-
X×(1+7.4%÷ 365)¹³×365 = 70000
Now we have to solve the equation -
X×(1+0.074/365)¹³×365=70000
Convert the number
X× 1+ (74/365000)¹³×365=70000
Now reduce
X×(1+37/182500)¹³×365=70000
Now we have to calculate=
X× (1+ 37/182500)⁴⁷⁴⁵=70000
We have to transfer the edition
X× (1+ 37/182500)⁴⁷⁴⁵=70000
Devide both side
X= 70000/ ( 182537/182500)⁴⁷⁴⁵
By Calculation we can get
X= 70000×182500^4745/182537⁴⁷⁴⁵
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which postulate
ASA
SSS
AAS
HL
Answer:
asa
Step-by-step explanation:
there Is angle
there is side
there is angle but not shown
8 . How can we prove these triangles congruent?
F ASA
G AAS
H SAS
J SSS.
A triangle with } 3congruent angles is called a ______
1. We can prove these triangles are congruent through J. SSS.
2. A triangle with 3 congruent angles is called an equilateral triangle.
What is congruence?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same. They coincide if they are repositioned.
SSS rule states that two triangles are congruent if all three sides of one triangle are equivalent to the corresponding three sides of the other triangle.
An equilateral triangle has all three sides and angles equal.
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A truck cost 60,000 it depreciate in value 4000 per year write a linear model in the form VT equals MT plus b
When the truck cost 60,000 it depreciate in value 4000 per year, the model is 60000 - 4000x
How to calculate the equation?Equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario
In this case, the truck cost 60,000 it depreciate in value 4000 per year.
Let the number of years be x.
The linear model in the representation will be:
60000 - 4000(x)
= 60000 - 4000x
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The graph above shows the distance a tow truck is away from the company's base.
What is the rate of change of change from hour 4 to hour 7 ?
Answer:
50
Step-by-step
What is the approximate volume of this cylinder? 3,140 cm³ 7,850 cm³ 10,000 cm³ 31,400 cm -20 cm 25 cm
Answer: 28055
Step-by-step explanation:
would appreciate help on this percentage question, its grade 7 level.
a) The percentage reduction in the price of the television each time is as follows:
First time = 10.42%Second time = 11.63%.b) The absolute change after the two reductions amounting to $100 is that the price of the television is now $380.
c) The overall percentage decrease in the price of the television is 20.83%.
What is the percentage?The percentage is the ratio.
The percentage is computed as the quotient of the smaller value (numerator) over the larger value (denominator), between two values.
Percentages are depicted using the percentage sign (%) to show that the value is expressed over 100.
Price of the television = $480
First price reduction = $50
New price after the first price reduction = $430 ($480 - $50)
Percentage reduction in price = 10.42% ($50/$480 x 100)
Second price reduction = $50
New price after the second price reduction = $380 ($430 - $50)
Percentage reduction in price = 11.63% ($50/$430 x 100)
Overall percentage decrease = 20.83% ($100/$480 x 100)
Thus, overall, the price of this television decreased by 20.83 percent.
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Question Divide. 27÷655 Enter your answer by filling in the boxes. R
100 points and FREE BRAINLYEST IF YOU ANSWER WRONG I WILL ASK A ADIMIN TO DELETE YOUR ANSWER
Answer: 24. The remainder is 7
Step-by-step explanation:
Please help this is AP calculus. Please answer all parts due in 2 hours
a) The velocity of the particle is described by v(t) = - 3 · t² + 12 · t - 9.
b) The particle is at rest when t = 1 s. and t = 3 s.
c) The particle changes its direction when t = 1 s. and t = 3 s.
d) The particle is moving right when 0 s < t < 1 s and t > 3 s and left when 1 s < t < 3 s.
e) The acceleration of the particle is described by a(t) = a(t) = - 6 · t + 12.
f) The velocity increases at t = 1 s.
g) The particle has a total distance of 54 meters.
How to analyze the kinematics of a particle
In the statement we find the function of a particle that describes its position (y), measured in meters, in time (t), in seconds. Herein we shall analyze the function to determine all important features.
a) The velocity of the particle (v), in meters per second, is the first derivative of the function position:
v(t) = - 3 · t² + 12 · t - 9
b) The particle is at rest when v(t) = 0. Now we proceed to determine the roots of the resulting polynomial:
- 3 · t² + 12 · t - 9 = 0
t = 3 s. or t = 1 s.
c) The particle changes its direction when v(t) = 0. Then, this change happens in t = 1 s and t = 3 s.
d) The particle is moving right when v(t) > 0, then:
(t - 1) · (t - 3) > 0
There are two possible intervals: (i) 0 s < t < 1 s, (ii) t > 3 s. The particle is moving left when 1 s < t < 3 s.
e) The acceleration is the second derivative of function position, thus:
a(t) = - 6 · t + 12
f) The velocity increases when a(t) > 0. Then, the acceleration at t = 1 s is:
a(1) = - 6 · 1 + 12
a(1) = 6
The velocity is increasing at t = 1 s.
g) The total distance (s), in meters, traveled is determined by the following expression:
s = |x(1) - x(0)| + |x(3) - x(1)| + |x(6) - x(3)|
s = |7 - 11| + |11 - 7| + |- 43 - 11|
s = |- 4| + |4| + |- 54|
s = 54
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