Answer:
Step-by-step explanation:
center (-1, -2) , trough point ( 6, 4)
equation of the circle
r² = (x-h)²+(y-k)², where (h, k) are the coordinate of a circle so h=-1, k=-2
r² =(x+1)²+(y+2)², but (x, y ) are coordinates for any point on the circle so x=6 and y= 4
r² =(6+1)²+(4+2)²
r²= 7² +6²
r²= 85
so the equation is
(x+1)²+(y+2)²= 85
to find the points on the circle substitute in the equation x and y
(-10+1)²+(0+2)²= 85 ; 85=85 true
so the pint on the circle is (-10, 0)
What should I choose
Answer:
Orange juice.
Step-by-step explanation:
It's the best thing ever it always gets u an A+ when you give it to your teachers
Answer:
variables
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Mary knows that she needs $30,000 for a down payment on a house. She found an investment that eams 3. 35% interest compounding monthly. She would like to purchase the home in 5 years. How much should she put in the account now to ensure she has her down payment? (1 point) b $29,501. 75 $25,379. 22 $20,096. 35 $35,462. 08 C Od
The amount she put in the account now to ensure she has her down payment is $25,379. 22
Compound interestThe formula for calculating compound interest is expressed as:
A = P(1+r/n)^nt
GIven the following
A = 30000
r = 0.0335
t = 5
n = 12
Substitute
30000 = P (1+0.0335/12)^12(5)
30000 = P (1+0.0335/12)^12(5)
30000 = 1.18206P
P = 30000/1.18206
P = $25,379. 22
Hene the amount she put in the account now to ensure she has her down payment is $25,379. 22
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Please help me with this math question
Answer:
80a^9 + 70a^8
Step-by-step explanation:
Use the distributive property and multiply each term in the expression by 10a7
10a7(8a2 + 7a)
80a9+70a8
Subr Solving Linear Inequalities: Mastery Test Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwartz plans to order more wheels once he has fewer than 40 wheels left. The inequality that can be used to find the number of cars, x, Mr. Schwartz builds before he places an order for more wheels is X
Answer:
Step-by-step explanation:
Mr. Schwartz begins with total number of wheels = 85
he has to order more wheels once he left with less than 40 wheels
so min. no. of wheels he can use before ordering more wheels = 85-40 = 45
Mr. Schwartz uses 4 wheels to build 1 car
Mr. Schwartz uses 45 wheels to build 45÷4 = 11.25 cars
then, if he builds 12 cars then he needs 12×4 = 48 wheels
total supply of wheels he begins with = 85
wheels he used to build 12 cars = 48
so total number of wheels remaining are = 85-48 = 37
since 37 is less than 40 so after building 12 cars Mr. Schwartz need to order more wheels.
Linear inequality that is used to find number of cars before Mr. Schwartz places an order for more wheels is equals to 4x ≥ 45.
What is linear inequality?
"Linear inequality is defined as a expression where we compare two different linear expression with the help of sign of inequality."
According to the question,
Number of supply wheels =85
Number of wheels required for each car = 4
Mr. Schwartz has to order more wheels when,
Number of wheels < 40
x represents number of cars
As per conditions given ,
Inequality used to find number of cars before placing order for more wheels is 80 -40= 45
Therefore, required linear inequality is
4x ≥ 45
Hence, required linear inequality is 4x ≥ 45.
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consider a 20-foot chain that weighs 2 pounds per foot hanging from a winch 20 feet above ground level. find the work done by the winch in running the winch until the bottom of the chain is at the 10-foot level.
The work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is 200 foot-pounds.
Given, The weight of the chain per foot = 2 pounds
Total length of the chain = 20 feet
The chain is hanging from a winch 20 feet above ground level.
The work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is to be determined.
The force required to lift the chain is equal to the weight of the chain. Therefore, the force needed is F = 2 × 20 = 40 pounds. The work done is the product of force and distance.
Therefore, Work done = force × distance= 40 × (20 − 10)= 400 foot-pounds
Thus, the work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is 200 foot-pounds.
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Help answer the questions
4.2.1. The coordinates of C and D are (0, 12) and (4, 0) respectively.
4.2.2. The values of m is -3 and c is 12, the equation of g(x) is g(x) = -3x + 12.
4.2.3. If OB = 1/2, the length of AE is 1.75 units.
4.2.4. The values of x for which f(x) is decreasing is x > 0.5.
4.2.5. The range of f(x) is [-∞, 12.25].
How to determine the coordinates of C and D?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
f(x) = -x² + x + 12
Based on the diagram or graph above, we can logically deduce that the coordinates of C and D represent the y-intercept and one of the x-intercept of the quadratic equation f(x).
When x = 0, the coordinates of C is given by;
f(0) = -0² + 0 + 12
f(0) = 12, C = (0, 12).
When f(x) = 0, the coordinates of D is given by;
0 = -x² + x + 12
0 = -x² + 4x - 3x + 12
0 = (x - 4)(x + 3)
x = 4 or x = -3
Since D is on the positive x-axis, it is equal to (4, 0).
Part 4.2.2.
Next, we would determine the slope (m) and y-intercept (c) as follows;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (12 - 0)/(0 - 4)
Slope (m) = -3
y-intercept (c) at C (0, 12) is equal to 12.
Part 4.2.3
Assuming line segment OB = 1/2, we would determine the length of AE;
AE = AB - BE
BE = g(1/2) = -3(1/2) + 12
BE = 10.5 units
AB = f(1/2) = -(1/2)² + (1/2) + 12
AB = 12.25 units.
AE = 12.25 - 10.5
AE = 1.75 units.
Part 4.2.4
The values of x for which f(x) is decreasing represent all the numbers that are greater than the axis of symmetry;
Axis of symmetry = -b/2a
Axis of symmetry = -1/2(-1)
Axis of symmetry = 0.5
x > 0.5.
Part 4.2.5
By critically observing the graph shown in the image attached above, the range is given by:
f(x) = -x² + x + 12
f(1/2) = -(1/2)² + (1/2) + 12
f(1/2) = 12.25
Therefore, the range is [-∞, 12.25] or {y|y ≤ 12.25}.
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Katie memorized 46 multiplication facts last week. This week she memorized 56 multiplication facts. What is her percent of increase for memorizing multiplication facts this week?
Answer:40%
Step-by-step explanation:
4•(2+5)^2 -5^2 how do I solve this?
Answer:
4•(2+5)^2 -5^2 = 171
Step-by-step explanation:
Do BIDMAS
(brackets, indices, division, multipy, add, sub)
so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps
Answer: Brackets => 4 x (7)^2 - 5^2
Indices/Orders => 4 x 49 - 25
Multiplication => 196 - 25
Subtraction => 171
4/6-3/8 zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The answer is 7/24 ~hope this helps~
btw, sick pic B-)
Step-by-step explanation:
Please answer the question and leave an explanation on how to solve each part. Thank you in advance
The solution that we have here is a combination question not a permutation.
How to solve for the combination2.You can order pizza with: 1, 2, 3, 4 toppings for $10.
The ways to do the ordering are
18C1 = 18 ways18c2= 18!/(18-2)!2! = 153 ways of ordering18c3 = 18!/(18-3)!3! = 816 ways of ordering18C4 = 18!/(18-4)!4! = 3060 ways of orderingIn total there would be 3060+816+153+18=4047 ways of ordering for the pizza.
3. Given 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 and there are no restrictions, we would have
2¹⁸ ways of ordering = 262144 ways
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pleasee help! Percents!!!
Answer:
Step-by-step explanation:
55%
how to solve 7=2(r+1)^2-3
Add 3 to both side:
10 = 2(r+1)^2
Divide both sides of the equation by 2:
5 = (r+1)^2
Take the square root of both sides:
√5 = r+1
Subtract 1 from both sides :
√5 - 1 = r
.
Solve for x:
14x - 8 = (-10) - 10x
Answer:
x= -1/12
Step-by-step explanation:
A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Mila grabs the ladder at its base and pulls it 6 feet farther from the house, how far up the side of the house will the ladder reach now
The ladder will reach up to a height of approximately 27.39 feet (rounded to two decimal places).
We can use the Pythagorean theorem to solve this problem. Let's call the distance from the base of the ladder to the house "x". Then, according to the Pythagorean theorem:
\(x^2 + 48^2 = 50^2\)
Simplifying this equation, we get:
\(x^2 + 2304 = 2500\)
Subtracting 2304 from both sides, we get:
\(x^2 = 196\)
Taking the square root of both sides, we get:
x = 14
So the ladder is currently 14 feet away from the house. If Mila pulls the ladder 6 feet farther away from the house, it will be 20 feet away from the house. We can use the same equation to find out how high up the ladder will reach:
\(x^2 + y^2 = 50^2\)
Substituting x = 20 and simplifying, we get:
\(y^2 = 1500\)
Taking the square root of both sides, we get:
y = 5√30
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A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 150lb and each box weighs 50 lb. The maximum capacity of the elevator is 1140 lb. How many boxes of books can the delivery person bring up at one time?
Answer:
I'll say 19boxes so as to be on the safe part
Step-by-step explanation:
To find the maximum mass of box that the elevator can take .
1140-150
990
To get the number of boxes the elevator can take ,
990/50
19.8
However since a 0.2 can make a difference when approximated
I'll will ignore the 0.8
9,003,809,123 in word form
ooh well this will be fun
nine billion three million eight hundred thousand nine one hundred and twenty three
please subscribe to me on yt to help me out im a newbie and subing will mean the world to me h t t p s : / / w w w . y o u t u b e . c o m / c h a n n e l / U C F H b 0 O V W J P q p a N a M m u 3 k I L w
The number of ways of arranging all trials to be failures in a binomial distribution is:?
In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.
1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.
2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.
3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.
Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).
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The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.
Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.
The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1
For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.
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why is the axis of action also called the 180-degree system?
The 180-degree system and the axis of action are fundamental principles of filmmaking that help create a cohesive and engaging visual experience for the viewer.
The axis of action is a fundamental principle in film and video production, which is used to ensure that the continuity of a scene is maintained and that the viewer's spatial orientation is not disrupted.
It is also known as the 180-degree system because it is based on a visual guideline that involves maintaining a consistent spatial relationship between the camera and the subjects within the scene.
The 180-degree system establishes an imaginary line, also known as the axis of action, between two subjects or objects in a scene. The camera is then positioned on one side of this line, and the subjects are positioned on the other side, allowing the viewer to maintain their spatial orientation throughout the scene.
By maintaining a consistent axis of action, filmmakers can avoid disorienting the viewer and maintain continuity throughout the scene. This technique is especially important in dialogue scenes where the interaction between characters is a critical component of the story.
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can i get some help with this i suck at algebra
Answer:
Slope-Intercept: C,H,F,I,P,T
Standard: B,D,K,N,O,Q,S
Point-Slope: A,E,G,F,L,M,R
Step-by-step explanation:
Anything with the Y on one side of the equation and an X on the other is Slope-Intercept.
All the standard equations are the ones with the terms (X and Y) on one side of the equation, and a real number on the other.
The Point-Slope are all equations containing a Y value on one side, and an undistributed X value on the other.
there are 12 socks in flora drawer 9 are red and 2 are blue and 1 is green she take out one sock without looking at the color. What is the numerical probability of flora picking out a blue sock?
The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.
To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.
Given:
Total number of socks = 12
Number of red socks = 9
Number of blue socks = 2
Number of green socks = 1
The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:
Probability of picking a blue sock = Number of blue socks / Total number of socks
Probability of picking a blue sock = 2 / 12
Simplifying the fraction, we get:
Probability of picking a blue sock = 1 / 6
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is the following a power function, a polynomial, both, or neither? f(x)=−14x−−√3? Select the correct answer below: O Power function O Polynomial function O Both Power and Polynomial O Neither Power nor Polynomial
The given function f(x) = -\(14x^(^-^\sqrt3)\) is a power function.
How to find the function of the equation?A power function is a function of the form f(x) = \(kx^m\), where k and m are constants, and x is the independent variable raised to the power of m.
On the other hand, a polynomial function is a function of the form f(x) = \(a_nx^n\) + \(a_{n-1}x^{n-1}\) + \(...\) + \(a_1x\) + a_0, where n is a non-negative integer and \(a_n\), \(a_{n-1}\), \(...\), \(a_1, a_0\) are constants.
Since the given function cannot be written in the form of a polynomial function, it is not a polynomial function. Therefore, the correct answer is: Power function.
The given function f(x) = -\(14x^(^-^\sqrt3)\)is a power function because it can be written in the form f(x) = , where k = -14 and m = -√3.
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I need help I don't understand this stuff it is very confusing
3x=y
y=2x+2
Convert 64° to radians. Round to 2 decimal places.
I
The equivalent angle to 64º in radians is given as follows:
1.12 radians.
How to convert an angle in degrees to radians?An angle in degrees is converted to radians applying a proportion, as an angle of 180º is equivalent to π radians.
Hence the rule of three used for this problem is given as follows:
64º - x radians
180º - π radians.
Applying cross multiplication, the equivalent angle to 64º in radians is obtained as follows:
180x = 64π
x = 64π/180
x = 1.12 radians.
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csc \(x = \frac{1}{sec x}\)
A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is located 212 meters from one entrance of the tunnel, at an angle of 527 degrees to the perpendicular. Also according to his equipment, he is 119 meters from the other entrance of the tunnel, at an angle of 14 degrees to the perpendicular. Based on these measurements, find the length of the entire tunnel. Do not round any intermediate computations. Round your answer to the nearest tenth.
The length of the entire tunnel is 405.5 + 119 = 524.5 meters. Rounded to the nearest tenth, the length of the tunnel is 524.5 meters.
To find the length of the tunnel, we can use trigonometry. Let's start by drawing a diagram. We can represent the two entrances of the tunnel as points A and B, with the surveyor located at point C. We know that AC is 212 meters and angle ACB is 527 degrees to the perpendicular. We also know that BC is 119 meters and angle BAC is 14 degrees to the perpendicular.
Using the law of sines, we can find the length of AB:
AB/sin(139 degrees) = 212/sin(34 degrees)
AB = sin(139 degrees)*212/sin(34 degrees)
AB = 405.5 meters
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A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 7 cubic feet
and the volume of each large box is 13 cubic feet. A total of 21 boxes of paper were
shipped with a combined volume of 231 cubic feet. Determine the number of small
boxes shipped and the number of large boxes shipped.
I need help quick!
Using addition/subtraction method, 7 small boxes and 14 large boxes are shipped.
In the given question,
A paper company needs to ship paper to a large printing business.
The paper will be shipped in small boxes and large boxes.
The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet.
A total of 21 boxes of paper were shipped with a combined volume of 231 cubic feet.
We have to determine the number of small boxes shipped and the number of large boxes shipped.
The total number of boxes are 21 in which small and large both type of boxes are shipped.
Let x be the number of small box and y be the number of large box.
So the equation should be
x+y = 21............................(1)
The volume of each small box is 7 cubic feet.
So the volume of x small boxes is 7x.
The volume of each large box is 13 cubic feet.
So the volume of y small boxes is 13y.
As given that the combined volume of 21 boxes is 231 cubic feet.
So the equation should be
7x+13y=231..............................(2)
Now solving the both equation.
Multiply Equation 1 by 7 and subtract with Equation 2.
7x+7y−(7x+13y)=147−231
Simplifying
7x+7y−7x−13y=147−231
−6y=−84
Divide by −6 on both side
−6/−6 y=−84/−6
y=14
Now putting the value of y in Equation 1
x+14=21
Subtract 14 on both side
x+14−14=21−14
x=7
Hence, 7 small boxes and 14 large boxes are shipped.
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which expression represents 5/8 pls help I'm doing a test
Answer:
The answer is 5 divided by 8, or answer A.
Answer:
Answer A, because 5 divided by 8 is the same as 5/8
Step-by-step explanation:
25% of__Is 10.
Help me!!!!!!!!!
Answer:
40
Step-by-step explanation:
40 divided by 1/4 = 10
25% = 1/4
Answer:
40
Step-by-step explanation:
We Know
25% of x is 10
Find x
We Take
10 x 4 = 40
So, 25% of 40 is 10
What's the answer????!!!???
Answer:
3997
Step-by-step explanation:
JUST SEARCH IT UP0202000202×0]2]×
Expand it please
(3h+7k)2
Answer:
6h+14k
Step-by-step explanation:
Multiply 2by 3h which gives 6h then multiply 7k by 2 which gives 14k.
Since 6h and 14k are not like terms u cannot add so your answer will be 6h + 14k.
Answer:
9h² + 42hk + 49k²
Step-by-step explanation:
Given
(3h + 7k)²
= (3h + 7k)(3h + 7k)
Each term in the second factor is multiplied by each term in the first factor, that is
3h(3h + 7k) + 7k(3h + 7k) ← distribute both parenthesis
= 9h² + 21hk + 21hk + 49k² ← collect like terms
= 9h² + 42hk + 49k²