Answer:
average rate of change = (16 - 1)/(4 - 1)
= 15/3 = 5
Can someone plz help. Will mark brainliest
Answer:
3. 73
4. 1500
Step-by-step explanation:
3. 7*9 = 63, 2*5 = 10, 63+10 = 73
4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500
11-(-2)x4 step by step pls my hm is due tmr
Answer:
Step-by-step explanation:
11 -(-2) x 4
11 + 2 x 4
11 +8
= 19
emma has 0.5 lb of sugar. How much water would she add to make the following concenstractions? Tell Emma how much syrup she would have each case. 50% syrup
To make the concentration of 50% syrup,
she needs to add 0.5 lb of sugar.
What is a percentage?A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."
Given:
Emma has half a pound of sugar.
To make the concentration of 50% syrup:
Let n be the required amount.
In decimals, 50% is 0.5.
Applying the percentage formula;
we get,
\(\frac{0.5}{n + 0.5} \cdot 100 = 50\)
Applying cross multiplication,
we get,
\(\frac{0.5}{n + 0.5} = 0.5\)
0.5 = 0.5(n + 0.5)
1 = n + 0.5
n = 1 - 0.5
n = 0.5 lb.
Therefore, she would have 0.5 + 0.5 = 1 pound of sugar.
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What does oxygen do in a healthy body
At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) = 50(e^-0.1 t - e^-0.20 t) mg/hr. Assuming that all the drug is eventually eliminated, calculate the original dose. Enter the exact answer. The original dose was _______mg
At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) = 50(e^-0.1 t - e^-0.20 t) mg/hr. Assuming that all the drug is eventually eliminated, calculate the original dose. Enter the exact answer. The original dose was 0 mg.
A limit is a value that a function or sequence approaches as the input or index approaches a certain value. Limits are a fundamental concept in calculus, and they are used to define important ideas such as derivatives and integrals. They are also used in other areas of mathematics, such as real analysis and mathematical analysis.
The rate at which the drug is being eliminated is the derivative of the amount of drug present at time t. We can write this as:
r(t) = dA(t)/dt = 50(e^-0.1 t - e^-0.20 t) mg/hr
If we integrate both sides of this equation with respect to t, we get:
A(t) = ∫r(t) dt = ∫50(e^-0.1 t - e^-0.20 t) dt
This integral can be evaluated using integration by parts. Let u = e^-0.1 t and dv = e^-0.20 t. Then du = -0.1 e^-0.1 t and v = -1/(0.2) * e^-0.20 t = -5e^-0.20 t. We can then write:
A(t) = -5 ∫e^-0.1 t * e^-0.20 t dt + (1/0.2) ∫e^-0.1 t dt
The first integral on the right-hand side can be evaluated using the substitution y = -0.3t, which gives:
A(t) = -5 ∫e^y dy + (1/0.2) ∫e^-0.1 t dt
The first integral is simply -5e^y, and the second integral is -5e^-0.1 t. Substituting these results back into the expression for A(t) gives:
A(t) = -5(-5e^-0.3 t) + (1/0.2)(-5e^-0.1 t)
Combining constants and simplifying gives:
A(t) = 25e^-0.1 t - 25e^-0.3 t
We are told that all the drug is eventually eliminated, so A(t) approaches 0 as t approaches infinity. This means that the original dose A(0) must be equal to the limit of A(t) as t approaches 0.
Taking the limit as t approaches 0 gives:
A(0) = lim t → 0 [25e^-0.1 t - 25e^-0.3 t]
This limit is equal to 25 - 25 = 0, so the original dose was 0 mg.
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pls help and explain how you got the answer
The class of the equation and the cross section equation are;
The equation is a hyperboloid of two sheets
The cross sections are;
Equation at z = 0 is; y²/8 - x²/8 = 1
Equation at y = -4 is; x²/8 + z² = 1
Equation at y = 0 is; x²/8 + z² = -1
Equation at y = 4 is; x²/8 + z² = 1
Equation at x = 0 is; y²/8 - z² = 1
What is an equation ?An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.
The equation can be presented as follows;
y² = x² + 8·z² + 8
y² - x² - 8·z² = 8
y²/8 - x²/8 - z² = 1
The above equation is the equation of an hyperboloid of two sheets, where;
a² = 8, b² = 1, and c² = 8
Please find attached the diagram of the surface, created with an online 3D graphing tool.
The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;
y²/8 - x²/8 - 0 = 1
y²/8 - x²/8 = 1
The above equation is the equation of an hyperbola in the xy plane
The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 4²/8 = -1
- x²/8 - z² = -1
x²/8 + z² = 1
The above is an equation of an ellipse in the xz plane
The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;
0²/8 - x²/8 - z² = 1
- x²/8 - z² = 1
Therefore; x²/8 + z² = -1
The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;
4²/8 - x²/8 - z² = 1
- x²/8 - z² = 1 - 2 = -1
x²/8 + z² = 1
The above equation is the equation of an ellipse in the xz plane
The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;
y²/8 - 0²/8 - z² = 1
y²/8 - z² = 1
The equation is the equation of an hyperbola in the yz plane
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A pizza parlor charges $9.25 for a large pizza, plus $0.80 for each additional topping. Which equation correctly reflects the relationship between the number of toppings and the total cost of a large pizza?
y = 9.25x + 80
y = 80x + 9.25
y = 9.25x + 0.8
y = 0.8x + 9.25
Answer:
c because you dont need the extra zero on the 8
Fernando cut a rectangle out of the larger rectangle. what is the perimeter of the resulting shape?
Answer:
52 units
Step-by-step explanation:
Perimeter of the resulting shape is the length of the boundary all through the resulting shape that is left after cutting out a rectangle out of the larger rectangle.
Perimeter = 15 + 8 + 4 + 3 + 5 +3 + 6 + 8
Perimeter = 52
Perimeter of the resulting shape is 52 units
The gift is 1.5 feet tall and Amberly choose to leave one of its bases uncovered. Explain how many many square inches of paper she would use to wrap the gift, assuming the paper does not overlap
And one of the bases is 9 inches by 0.5 feet
The net area of the paper needed is 4.125 square feet.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.
Therefore the total surface area is,
= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).
= 2(0.75 + 1.125 + 0.375).
= 2(2.25).
= 4.5 square feet.
Now, She left one of the bases uncovered which have an area of 0.375 square feet.
Therefore, the net amount of paper needed is = 4.5 - 0.375.
= 4.125 square feet.
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Jordan is constructing the bisector of MN
What should Jordan do for the first step?
Answer:
1st optionStep-by-step explanation:
Place the compass at one end of line segment, and taking it more than 1/2 of MN is its 1st step
Find the solution to the system of equations. -4-3-2-1 4M= 432 21 1 1234 -1 -2 -3 -4 /y = 2x + B 1 2 3 4 y=-x ([?], [])
After solving the equations, the value obtained for x and y will be equal to (-1, 1).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equations in the question,
y = 2x + 3 (i)
y = -x (ii)
Substitute equation (ii) in (i)
-x = 2x + 3
-x - 2x = 3
-3x = 3
x = -3/3
x = -1
Substitute x = -1 in equation (i)
y = 2x + 3
y = 2(-1) + 3
y = -2 + 3
y = 1
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8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?
Answer:
3500
Step-by-step explanation:
I got it right
Find the area of a square with sides 11 feet long.
Answer:
the area of square is
the area of square is side*side
therefore ,area= 11*11= 121 feet square
Mona had 32 math problems for homework. She completed 3/4 of them before dinner and the remaining 1/4 after dinner. How many problems did she complete before dinner?
Answer: 24 problems done before dinner
Step-by-step explanation:
Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner
If the prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5, what would you need to multiply it by to get the prime factorization of 3000?
To get the Prime factorization of 3000 we need to multiply by 5.
What is Prime Factorization:When the number is factored using prime numbers, or primes, the process is known as prime factorization. The easiest method to determine the prime factors of a given number is to keep dividing the given number by the prime factors until we will get 1.
For example, the Prime factorization of 45 is given below
=> 45/5 = 9, 9/3 = 3, 3/3 = 1
=> 45 = 5 × 3 × 3
Here we have
The prime factorization of 600 is 2 x 2 × 2 × 3 × 5 × 5
Let us assume that on multiplying with p,
we will get the factorization of 3000
=> 2 x 2 × 2 × 3 × 5 × 5 × p = 3000
=> p = \(\frac{3000}{2\times 2 \times 2 \times 3 \times 5 \times 5}\)
Her 2 x 2 × 2 × 3 × 5 × 5 = 600
=> p = \(\frac{3000}{600}\)
=> p = 5
Therefore,
To get the Prime factorization of 3000 we need to multiply by 5.
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Support for character vector or string inputs will be removed in a future release. Instead, use syms to declare variables and replace inputs such as dsolve('Dy = -3*y') with syms y(t); dsolve(diff(y,t) == -3*y).
The support vector of the input dsolve('Dy = -3*y') is "dsolve(diff(y,t) == -3*y)".
A symbol is a mathematical object that represents a mathematical entity, such as a number, a variable, or a function. In mathematical software, symbols are used to represent variables, which can be used in mathematical expressions to perform computations.
In the past, character vectors or strings were used to represent symbols in certain mathematical software programs.
In the future release of this software, support for character vectors or strings will be removed. Instead, the program will require users to use the "syms" function to declare variables as symbols.
As an example of how this might be used in practice, consider the differential equation
=> "dy/dt = -3y".
In the past, this equation might have been entered into a mathematical software program using a character vector or string to represent the variable "y".
However, in the future release of this software, the user will need to use the "syms" function to declare "y" as a symbol. The equation would then be entered using the "diff" function, like this:
=> "dsolve(diff(y,t) == -3*y)".
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Oh PLEASE HELP ME I'LL GIVE YOU THE Brainliest JUST PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
day 4: 16000
day 5: 32000
day 6: 64000
day 7: 128000
day 8: 256000
day 9: 512000
day 10: 1024000
Step-by-step explanation:
just fill in the day number as x and solve the equation.
I attached a sketch of the graph. My paper isn't big enough to draw in all points, but you should get the idea on how to draw this. On the y axis, you use the number of people infected, on the x axis, the number of days.
Then you draw in each point, just as the exercise is asking for.
Then you also can read on the graph how many people are infected on day 6 and a half and day 11. You read this by checking what y value there is approximately for x = 6.5 and x = 11.
(hint: should be about 90500 for 6.5 days and 2048000 for 11 days)
Which method would be the best to solve the following system of equations? y=1/2x+6 -2x+4y=24
A. None of these methods will work.
B. Elimination
C. Substitution
D. Graphing
Answer:
C. Substitution
But gives you infinity solitions
Solving steps:
Step: Solvey=1/2
x+6for y:
y=1/2x+6
Step: Substitute
1/2
x+6foryin−2x+4y=24:
−2x+4y=24
−2x+4(1/2x+6)=24
24=24(Simplify both sides of the equation)
24+−24=24+−24(Add -24 to both sides)
0=0
age c) The group is planning to build a fence around the garden. How many yards of fencing materials do they need for the fence? Show your work. (3 points—2 points for finding the value of side b and 1 point for finding the perimeter of the garden)
Answer:
Step-by-step explanation:
The perimeter is obtained by taking the sun of the fence :
Outer fencing :
Let's obtain b :
From Pythagoras :
b² = 15² - 12²
b = sqrt(225 - 144)
b = 9
Outer fencing = 2(12+6) + 2(8+9)
= 2(18) + 2(17)
= 36 + 34
= 70
Inner fencing :
(8 + 9 + 12 + 6 + 15 + 10) = 60
(70 + 60) = 130 yards
Find the total area of the shape shown below in square feet
Answer:
Step-by-step explanation:
256
The required solution for the total area of the shape is 129 square feet.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
In the given diagram, there are two shapes,
One is rectangle whose sides are 16 feet and 5 feet.
And other is square whose side is 7 feet.
Since, the area of rectangle = length x width = 16 x 5 = 80 square feet.
And area of square = (side)² = (7)² = 49 square feet.
Total area of shape = area of rectangle + area of square
= 80 + 49
= 129 square feet.
The total area of the shape is 129 square feet.
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math integers....represent the following on number line(a) -5 (b)4
Step-by-step explanation:
Please refer to the picture above.
Given f(x) = x² - 5x - 6 and g(x) =
x² - 6x, what are the domain restrictions
for (-)(x)?
A) x # +6
B) x = 0
C) x = 0,6
D) x = -2,6
The domain restrictions for (f/g)(x) are (c) x = 0, 6
How to determine the domain restrictions for (f/g)(x)?From the question, we have the following parameters that can be used in our computation:
f(x) = x² - 5x - 6
g(x) = x² - 6x
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
substitute the known values in the above equation, so, we have the following representation
(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)
For the domain restriction, we have
x² - 6x = 0
When solved, we have
x = 6 or x = 0
Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6
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Question
Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions
for (f/g)(x)?
A) x = +6
B) x = 0
C) x = 0,6
D) x = -2,6
The area of a rectangle is 96 cm2. If the breadth of the rectangle is 8cm, find its perimeter
Answer:
area = length x width
96/8= 12 = something i have no idea what is breadth, but it doesnt matter
perimeter = 2(length) + 2(width)
2(12) + 2(8)=40cm
hope that answers your question
ps. fix your typing...skill, or word vocabulary thing...
Step-by-step explanation:
Answer:
40 cm
Step-by-step explanation:
Data:
Area (a): 96 cm
Width (b): 8 cm
a = b•h
96 = 8•h
96/8 = h
12 = h
The perimeter is the sum of all the sides, so.
Perimeter:
12+12+8+8 = 40
Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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rearrange so u Rearrange the equation so www is the independent variable.
−2u+6w=9
Answer:
w=9+2u/6
Step-by-step explanation:
-2u+6w=9
+2u on both sides
6w=9+2u
/6 on both sides
w=9+2u/6
If you withdraw part of your money from a certificate of deposit before the date of maturity, you must pay an interest penalty. Suppose you invested $6000 in a one-year certificate of deposit paying 8.3% interest. After 6 months, you decide to withdraw $6000. Your interest penalty is 3 months simple interest on the $6000. What interest penalty do you pay? (Round your answer to two decimal places.)
Answer:
\(\frac{3}{12} *100=25\\\)
8,3*0,25=2,10%(2d.p)
Step-by-step explanation:
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
A scale factor of 7 is it an enlargement reduction or neither
A scale factor of 7 is it an enlargement neither.
What is scale factor?Scale factor is a ratio of two corresponding lengths, areas, or volumes of similar shapes. When two shapes are similar, one can be enlarged or reduced to create the other. The scale factor is the number by which a figure is multiplied or divided to form a similar figure. It is used in many areas of mathematics, including geometry, trigonometry, and algebra. It is also used in engineering and architecture to create drawings of scaled-down or scaled-up objects.
A scale factor of 7 does not necessarily indicate an enlargement or reduction; it simply states that the size of an object has been multiplied by a factor of 7. It could either increase or decrease the size of the object, depending on the original size of the object and the direction of the scale factor.
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Determine the value of X
Answer:
The answer of x will be 20
Step-by-step explanation:
Since both angels are the same then you would take 140-20 and then divide that answer by six and you get 20.
I hold I could Help :)
If three dice are tossed, their sum could be 7. What is the probability of this?
brainliest answer please
answer:
The probability of rolling a sum of 7 with three dice is 15/216, which simplifies to 5/72, or approximately 0.0694 (rounded to four decimal places).
So the probability of rolling a sum of 7 with three dice is approximately 0.0694 or 6.94%.