I was just wondering this is one of my questions in my math books and i needed help
Answers
Answer:
B is true
Step-by-step explanation:
5 is a coefficient of x^0
Related Questions
please awnser this 8÷4400
Answers
Answer:
0.001818181818182Step-by-step explanation:
Please mark Brainliest!
As long as N is significanly less than K, logistic growth is indistinguishable from exponential O True O False if dN/dt > 0, then N O equals to zero O decreases O remains stable O increases
Answers
The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. If dN/dt > 0, then N increases.
The statement "As long as N is significantly less than K, logistic growth is indistinguishable from exponential" is false. Logistic growth takes into account the carrying capacity of the environment, represented by K, which limits the growth of a population as it approaches this limit. In contrast, exponential growth assumes an unlimited supply of resources and no constraints on population growth. Therefore, as N approaches K, logistic growth begins to level off, while exponential growth continues to increase indefinitely.
If dN/dt > 0, then N increases. This means that the population size is growing at a positive rate. If dN/dt is equal to zero, then N remains stable, indicating that the population size is not changing. Finally, if dN/dt is negative, then N decreases, indicating that the population size is shrinking. Therefore, the correct answer to this question is "increases."
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1
The coefficient of x2 in the expansion of 2x +1 by 3 whole square
Answers
Answer:
1 +6 x + 12 x 2 + 8x 3
Explanation:
We must use our knowledge of the binomial expansion:
Method 1:
We can use:
(
x
+
1
)
n
=
1
+
n
x
+
n
(
n
−
1
)
2
!
x
2
+
n
(
n
−
1
)
(
n
−
2
)
3
!
x
3
+
...
Substituting
n
=
3
and
x
for
2
x
⇒
(
2
x
+
1
)
3
=
1
+
(
3
⋅
2
x
)
+
3
⋅
2
2
!
⋅
(
2
x
)
2
+
3
⋅
2
⋅
1
3
!
⋅
(
2
x
)
3
=
1
+
6
x
+
12
x
2
+
8
x
3
Method 2:
We can use:
(
A
+
B
)
n
=
A
n
+
(
n
1
)
A
n
−
1
B
1
+
(
n
2
)
A
n
−
2
B
2
+
...
Letting
A
=
2
x
and
B
=
1
for this circumstance:
(
2
x
+
1
)
3
=
(
2
x
)
3
+
(
3
1
)
(
2
x
)
2
(
1
)
+
(
3
2
)
(
2
x
)
1
(
1
)
2
+
(
3
3
)
(
2
x
)
0
(
1
)
3
=
8
x
3
+
12
x
2
+
6
x
+
1
Step-by-step explanation:
Rational Exponents Practice- Practice (1-10)
4. Write the expression in rational form. (1 point)
t^-3/4
A. ^4√t^3
B. 1/^4√t^3
C. -^4√t^3
D. -^3√t^4
Answers
Therefore, the expression \(t^{(-3/4)}\) in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
To write the expression \(t^{(-3/4)}\) in rational form, we need to eliminate the negative exponent.
Recall that a negative exponent can be rewritten as the reciprocal of the positive exponent. In this case, \(t^{(-3/4)}\) can be written as 1/ \(t^{(-3/4)}\).
Therefore, the expression \(t^{(-3/4)}\)in rational form is:
\(B. 1/^4 \sqrt {t^3}\)
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Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.
R(t) = 30t − 3t^2; t = 3
a. Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.)
Answers
Answer:
-0.061 dollars per day.
Step-by-step explanation:
(R(t + h) - R(t)) / h
We can use this formula to find the average rate of change of R(t) over various time intervals h, starting with t = 3:
For h = 1 day:
R(3 + 1) = 30(3 + 1) - 3(3 + 1)^2 = 27 - 6 = 21
Average rate of change = (21 - 30(3) + 3(3)^2) / 1 = (21 - 27) / 1 = -6
For h = 0.1 day:
R(3 + 0.1) = 30(3 + 0.1) - 3(3 + 0.1)^2 = 29.7 - 8.91 = 20.79
Average rate of change = (20.79 - 30(3) + 3(3)^2) / 0.1 = (20.79 - 27) / 0.1 = -0.61
For h = 0.01 day:
R(3 + 0.01) = 30(3 + 0.01) - 3(3 + 0.01)^2 = 29.93 - 8.9699 = 20.9601
Average rate of change = (20.9601 - 30(3) + 3(3)^2) / 0.01 = (20.9601 - 27) / 0.01 = -0.061
As we can see, as the value of h decreases, the average rate of change approaches a more accurate value. The average rate of change of R(t) at t = 3 days is approximately -0.061 dollars per day.
Which line is perpendicular to the line shown on the graph Map testing
Answers
Answer:
Step-by-step explanation:
Since the graph with the line isn't provided, I can only tell/show you how to find the perpendicular line.
When two lines a perpendicular, they can have different y-intercepts. But the slope of line will change to it's reciprocal.
So if you have a line that is y = 2x + 7 the perpendicular line would be,
y = -1/2 x + 7
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. The rational function has a y-intercept of 7. What is the equation for this function?
Answers
Answer:
f(x) = 1/(x+2) + 7
Step-by-step explanation:
The graph depicts the line of 1/x shifted to the left by 2 and up by 7.
pls help will give brainless to the person help picture is the question
Answers
Answer:
Part 1) Geometric sequence
Part 2) 64 minutes or one hour and four minutes to complete station 5.
Part 3) 512 minutes or 8 hours and 53 minutes to complete station 8.
Step-by-step explanation:
Trust me. I used my calculator.
QUESTION: Josephine put a frame round his picture which measured 36 cm by 34 cm. A margin 4cm wide was left all the way round. What was the area of the margin ?
(NOTE:SORRY BUT UNFORTUNATELY THERE ISN`T A DIAGRAM)
Answers
(36-4)x(34-4)= 32x30= 960cm²
Area of frame= 1224
Area of picture inside frame= 960
So border = 1224-960= 264
ANSWER = 264cm²
13. What is the mean of the data set in the box below? −8, −6, −2, 0, −6, −8, 4, −7, −8, 1 A. −8 C. −6 B. −7 D. −4
Answers
To find the mean you sum up all the numbers then divide by the number of numbers there are
For example there are 10 numbers in this list so you would divide the sum of all of them by 10
-40/10=-4
Answer: D. -4
Step-by-step explanation:
-8 + -6 + -2 + 0 + -6 + -8 + 4 + -7 + -8 + 1= - 40
-40 divided by 10= -4
(You're dividing by 10 because there are 10 numbers that you added up)
The mean is -4.
Simplify the expression.
pls i need help
Answers
Answer:
7x+1
Step-by-step explanation:
A 135-page notebook has 33 writing lines on each page. What is the total number of writing lines in the entire notebook
Answers
Answer:
4455
Step-by-step explanation:
135 pages x 33 lines a page = 4455 lines.
Solve the equation 4(h + 1.5) = -6.
h=
Answers
Answer:
h=3 is the answer
Step-by-step explanation:
The required solution to the given equation 4(h + 1.5) = -6 is
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation is given in the question as:
4(h + 1.5) = -6
To solve the equation 4(h + 1.5) = -6, we need to isolate the variable "h". We can do this by performing the following steps:
First, we need to get rid of the parentheses around "h + 1.5". We can do this by multiplying everything inside the parentheses by 4:
4(h + 1.5) = 4h + 6
Next, we need to get rid of the coefficient of 4 in front of "h". We can do this by dividing both sides of the equation by 4:
4h + 6 = -6
h + 1.5 = -1.5
Finally, we can subtract 1.5 from both sides of the equation to isolate the variable "h":
h = -1.5 - 1.5
h = -3
Therefore, the value of "h" that satisfies the equation is -3.
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At the local video rental store,
José rents two movies and threegames for a total of $14.50. At the same time, Meg rents three movies and one game for a total of $9.50. How much money is needed to rent a combination of one game and one movie?
Answers
a right rectangular prism 3 in by 4.25 in by 18.25 in what is the total surface area of the prism
Answers
The total surface area of the prism will be 290.125 Square units.
What is a surface area of a rectangular prism?The surface area of a rectangular prism is the measure of how much-exposed area a prism has. Surface area is expressed in square units.
The surface area of a rectangular prism is given by:
SA = 2 (lh +wh + lw )
where
l = 3
w = 4.25
h = 18.25
SA = 2 (3x18.25 + 4.25x18.25 + 3x4.25)
SA = 2 (54.75 + 77.5625 + 12.75)
SA = 2 (146.0625)
SA = 290.125 square units
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Simplify 5c-6d+4c+3d
Answers
Answer:
9c - 3d
Step-by-step explanation:
5c-6d+4c+3d
Gather the like terms,
5c + 4c - 6d + 3d
9c - 3d
Hope it helps!<3
Simplifying
5c + -6d + 4c + 3d = 0
Reorder the terms:
5c + 4c + -6d + 3d = 0
Combine like terms: 5c + 4c = 9c
9c + -6d + 3d = 0
Combine like terms: -6d + 3d = -3d
9c + -3d = 0
Solving
9c + -3d = 0
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '3d' to each side of the equation.
9c + -3d + 3d = 0 + 3d
Combine like terms: -3d + 3d = 0
9c + 0 = 0 + 3d
9c = 0 + 3d
Remove the zero:
9c = 3d
Your answer: 9c=3d
What’s -8/9 / -2/3 x -4 1/2?
The choices:
-6
-8/27
8/27
6
Please show how you did this. Anyone who can answer this and explain how they got it will get brainliest.
Answers
First divide the first two. When you divide by a fraction, flip it over and multiply:
-8/9 / -2/3 = -8/9 x -3/2 = (-8 x -3)/(9x2) = 24/18 = 4/3
Now rewrite -4 1/2 as an improper fraction and multiply by 4/3
-4 1/2 = -9/2
4/3 x -9/2 = (4 x -9)/(3x2) = -36/6 = -6
The answer is -6
Answer:
-6
Step-by-step explanation:
The first thing you have to do is to divide -\(\frac{8}{9}\) by -\(\frac{2}{3}\). When you divide fractions, all you have to do is to get the reciprocal of the divisor and change the operation to multiplication. The divisor above is -\(\frac{2}{3}\). Its reciprocal is -\(\frac{3}{2}\).
Let's solve.
-\(\frac{8}{9}\) x -\(\frac{3}{2}\) = \(\frac{24}{18}\)Next, lets divide the numerator and the denominator by a common factor in order to get the lowest term. The common factor for 24 and 18 is 6.
24 ÷ 6 = 4 18 ÷ 6 = 3The lowest term for \(\frac{24}{18}\) is \(\frac{4}{3}\).
Next, we'll have to multiply \(\frac{4}{3}\) by -4 \(\frac{1}{2}\). We can only do this if we change -4 \(\frac{1}{2}\) to an improper fraction first.
- 4 \(\frac{1}{2}\) = -\(\frac{9}{2}\)Now, we are ready to multiply \(\frac{4}{3}\) by -\(\frac{9}{2}\).
\(\frac{4}{3}\) x -\(\frac{9}{2}\) = -\(\frac{36}{6}\) = -6Therefore, the answer is the first choice, -6.
Use the Generalized Power Rule to find the derivative of the function. g(z)=7z(4z^2−3z+1)^4 g′(z)=
Answers
The derivative of the function g(z)= 7z(4z²-3z+1)⁴ using the Generalized Power Rule is g'(z)= 7(4z²-3z+1)⁴+ 7z(4z²-3z+1)³(8z-3)
To find the derivative of the function, follow these steps:
The Generalized Power Rule states that \(\frac{d}{dx} [f(x)]^n = n[f(x)]^{n-1}f'(x)\) where f(x) is a differentiable function, and n is any real number. Using the Generalized Power Rule and the Product rule, g'(z) = \(7[4z^2 - 3z + 1]^{4}+ 7z[4z^2 - 3z + 1]^{3}(8z - 3)\)Learn more about derivative:
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are the two triangles similar? if so, state the reason and the similarity statement. question 9 options: a) impossible to determine. b) yes; aa; δigf ∼ δmnl c) yes; sas; δigf ∼ δmnl d) the triangles are not similar.
Answers
The correct answer is B) Impossible to determine.
Based on the given information "W 8 Y 2 Z," it is not possible to determine whether the two triangles are similar or not. In order to determine the similarity of triangles, we need additional information such as the measurements of their angles and sides.
The options provided are:
A) Yes; SSS; A VWX - AYZX
B) Impossible to determine.
C) Yes: SAS; AVWX - AYZX
D) The triangles are not similar.
However, none of these options can be determined solely based on the given information. The option A suggests that the triangles are similar based on the Side-Side-Side (SSS) similarity criterion and the similarity statement "A VWX - AYZX." However, we don't have any information about the lengths of the sides of the triangles, so we cannot conclude whether the SSS criterion is met.
Therefore, the correct answer is B) Impossible to determine.
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Suppose there are two triangles with no measurements, angles and sides. Then, W 8 Y 2 Z Are the two triangles similar? If so, state the reason and the similarity statement. A) Yes; SSS; A VWX - AYZX B) Impossible to determine. C) Yes: SAS; AVWX - AYZX D) The triangles are not similar.
Write an equivalent expression 2x + 3 + 5x + 6 by combining like terms.
Please help I need it fast!!!!!!
Answers
you add the x terms together and add 3 and 6 together
Answer:
Step-by-step explanation:
help help help help use slope form to write the equation of a line that passes through the point (7,-16) with slope 3.
Answers
required equation is, y=3x-37.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
we have to find,
the equation of a line that passes through the point (7,-16) with slope 3.
we know,
y = mx+c
i.e. -16 = 3*7+c
so, c= -37
hence, required equation is, y=3x-37.
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Find the volume of an oblique cylinder with a base diameter of 7 cm and a height of 38 cm.
Use the value 3.14, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
The requried volume of the oblique cylinder with a base diameter of 7 cm and a height of 38 cm is 1462 cm³.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The volume of the oblique cylinder = πr²h
Substitute the value in the above equation,
The volume of the oblique cylinder = π × (7/2)² × 38
The volume of the oblique cylinder = π × 3.5² × 38
The volume of the oblique cylinder = 1462 cm³
Thus, the requried volume of the oblique cylinder with a base diameter of 7 cm and a height of 38 cm is 1462 cm³.
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1. Five times a whole number x is subtracted from 62 The result is less than 40
Find the three lowest values
2. if 7.3 is subtracted from Y the results is less than 3,4 find the range of value of Y
3. solve the following equation
a.4b= 3 (3b+15)
b. 5( a+2)=4(a - 1)
Answers
Answer:
Step-by-step explanation:
1. Symbolically, we get: 62 - 5x < 40
2. y - 7.3 < 3.4. Solve for y by adding 7.3 to both sides, obtaining:
y < 10.7 This is both the 'range' and the 'solution'
3a) 4b = 9b + 45, or -5b = 45, or b = -9
3b) 5a + 10 = 4a - 4
Combining like terms results in a = -14
3340 divided by 8 Need the answers
Answers
Answer:
417.5
I hope this helps
Please help a girl out!! :(( im really confused and it would mean a lot if someone helped!
Answers
Answer:
$7.69
Step-by-step explanation:
2.48+2.48+2.48= $7.44
then add 0.25 which is
$7.69
I NEED TO KNOW
What does 1 + 1 equal?
(A) 11
(B) 1
(C) 16
(D) 1/8
I WILL MARK BRANLIEST
Answers
Value of expression 1 + 1 = 2
What is addition?Addition is the process of adding two or more items together. In math, addition is the method of calculating the sum of two or more numbers.
Given expression,
1 + 1
+ is sign of Addition, Adding the numbers,
1 + 1 = 2
Hence, 2 is the value of expression 1 + 1.
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The center of a circle is located at (x,y)=(2,1). The point (x,y)=(−5,2) is located on the circle. a. What is the radius of the circle? units b. Write an equation for the graph of the circle.
Answers
Given the center of a circle at (2,1) and a point on the circle at (-5,2), we can determine the radius and write an equation for the circle. The radius is 7 units, and the equation of the circle is (x - 2)^2 + (y - 1)^2 = 49.
a. To find the radius of the circle, we use the distance formula between the center (2,1) and the point (-5,2). The distance formula is given by √((x2 - x1)^2 + (y2 - y1)^2). Substituting the coordinates, we have:
radius = √((-5 - 2)^2 + (2 - 1)^2)
= √((-7)^2 + 1^2)
= √(49 + 1)
= √50
= 7 units
b. The equation of a circle can be written in the form (x - h)^2 + (y - k)^2 = r^2, where (h,k) represents the center and r represents the radius. Substituting the values from the given information, we have:
(x - 2)^2 + (y - 1)^2 = 7^2
(x - 2)^2 + (y - 1)^2 = 49
Therefore, the equation of the graph of the circle is (x - 2)^2 + (y - 1)^2 = 49.
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£85.75 is being shared between Zayn and Edith in the ratio 3:4.
How much money would each of them get?
(3 marks
Zayn = £
Edith = £
Answers
Answer:
Edith will get £49
Zayn will get £36.75
Step-by-step explanation:
Here, given the ratio above, we want to share the amount of money between these two
We start by adding the ratio together
The total we have is 3 + 4 = 7
The amount of money that Zayn will get will be;
3/7 * 85.75 = 36.75
The amount of money Edith will get will be
4/7 * 85.75 = 49
if a 10 percent cut in price causes a 15 percent increase in sales, then:
Answers
If a 10 percent cut in price causes a 15 percent increase in sales, then it is likely that the product has an elastic demand. This means that customers are highly responsive to changes in price and are willing to purchase more of the product when it is cheaper.
In this scenario, the decrease in revenue from the price cut may be offset by the increase in sales volume. However, it is important to consider the potential long-term effects on the product's brand value and profitability.
If a 10 percent cut in price causes a 15 percent increase in sales, then:
1. Calculate the new price after the 10 percent cut:
New price = Original price x (1 - 0.10)
2. Calculate the new quantity sold after the 15 percent increase in sales:
New quantity sold = Original quantity sold x (1 + 0.15)
In this scenario, the price elasticity of demand is greater than 1, indicating that the product has elastic demand. This means that a decrease in price will result in a proportionally larger increase in quantity demanded, leading to higher revenue for the seller.
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Your friend loans you $20,000 for school. In five years he wants
$40,000 back. What is the interest rate he is charging you?
Remember to show your work.
Answers
The interest rate your friend is charging you for the $20,000 loan is 20% per year.
What is the interest rate on the loan?
The simple interest is expressed as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is the interest rate and t is time.
Given that;
The Principal P = $20,000
Accrued amount A = $40,000
Elapsed time t = 5 years
Interest rate r =?
Plug these values into the above formula and solve for the interest rate r:
\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)
Converting r decimal to R a percentage
Rate R = 0.2 × 100%
Rate r = 20% per year
Therefore, the interest rate is 20% per year.
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