The value of b that needs to be simplified is indicated as 1.43. The correct response when the new population growth is specified is A.
what is exponential function ?A mathematical function known as an exponential function has the following formula: f (x) = an x, where x is a variable and an is a constant known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base. Bacterial proliferation is an illustration of an exponential function. Some bacteria grow by twofolds per hour. After x hours, there will be twice as many germs present as there were when you started with just one. The formula for this is f(x) = 2x.
Given that,
When a fisherman unlawfully releases some fish into a pond, they immediately multiply (reproduce). P(x) = 6bx, where x is the number of weeks that have passed since the moment the fish was placed into the pond, and b is an unknown positive base, serves as a model for the population expansion of the new species.
According to the question,
P(x) = 6bˣ
Put p(x) = 51 and x = 6
51 = 6b⁶
17/2 = b⁶
b = [17/2]¹/⁶
b = 1.43
The b value that must be simplified is given as 1.43. A is the proper answer.
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help please thanks :))))))))))))))))
solve for x.
please help with this problem i am really bad at geometry!! will give thanks
Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
[tex] \frac{12x + 8 - 4x + 4}{2} = 50[/tex]
[tex] \frac{8x + 12}{2} = 50[/tex]
[tex]8x + 12 = 100[/tex]
[tex]8x = 88[/tex]
[tex]x = 11[/tex]
kiran wants to make a larger scale drawing of the same classroom which of these aclales could he use
htx
Kiran would choose scale of 1 to 50.
What is Scale Factor?To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.
Given:
As, The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet.
The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.
The scale “1 to 50” would make a scale drawing that is larger than the scale “1 to 72,” because Kiran would need more inches on the drawing to represent the same actual length.
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The options are as follow:
1 to 50
1 to 72
1 to 100
Please help here’s an image
On solving the provided question we can say that - the domain of the function f(x) = [tex]sinx(e^{-x})[/tex] will be = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
so, we have
f(x) = [tex]sinx(e^{-x})[/tex]
the domain = ( [tex]\frac{-\pi }{2} , \frac{\pi }{4}[/tex] )
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How do you describe a logarithmic function?
A logarithmic function is a type of inverse function.
A logarithmic function is a type of inverse function that is commonly used in mathematics and science. It is typically written in the form of y = log base b (x), where b is the base of the logarithm, and x is the input value. The most common bases for logarithms are 10 (common logarithm) and e (natural logarithm).
The logarithmic function is the inverse of the exponential function with base b. This means that if y = log base b (x) then x = b^y
One way to describe a logarithmic function is to say that it represents the exponent to which the base number must be raised in order to produce the input value x. For example, log base 10 of 100 is 2, because 10^2 = 100.
Another way to describe a logarithmic function is to say that it is a way of expressing very large or small numbers in a more manageable form. For example, instead of expressing a number like 10^9 as 1 billion, it can be expressed as 9 using a logarithm to base 10.
It is also important to note that logarithmic function have some key characteristics such as:
The domain of a logarithmic function is x>0, since the logarithm of a non-positive number is undefined.
The range of a logarithmic function is all real numbers.
The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.
A logarithmic function is increasing over its domain and concave down.
The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.
Overall, logarithmic functions are mathematical tools that allow us to simplify the representation and manipulation of very large and small numbers, and are used in many areas of science and engineering.
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how to solve x-y+x/2 (if x=10, y=1)
Which two ratios form a proportion?
Responses
A 12/15 and 5/4
B 15/12 and 5/4
C 6/5 and 4/5
D 5/6 and 4/5
Answer:
Step-by-step explanation: We will determine if ratios are proportional using cross multiplication.
first, we will check option (a)
12/15 =5/4
12*4 = 15*5
48 is not equal to 75. So, these are not proportional.
now, we will check option (b)
15/12 = 5/4
15*4 = 12*5
60 = 60.
as the left-hand side is equal to the right-hand side.
So, option (b) is correct.
Answer:
[tex]\textsf{B)} \quad \dfrac{15}{12}\; \textsf{and}\;\dfrac{5}{4}[/tex]
Step-by-step explanation:
If two fractions are equal, they form a proportion.
Therefore, to determine if two ratios form a proportion, rewrite the fractions so that their denominators are the same, then compare.
[tex]\textsf{A)}\quad \dfrac{12}{15}\; \textsf{and}\;\dfrac{5}{4} \implies \dfrac{12 \times 4}{15\times 4}\; \textsf{and}\;\dfrac{5\times 15}{4\times 15}\implies \dfrac{48}{60}\; \textsf{and}\;\dfrac{75}{60}[/tex]
As the two fractions are not equal, they do not form a proportion.
[tex]\textsf{B)} \quad \dfrac{15}{12}\; \textsf{and}\;\dfrac{5}{4}\implies \dfrac{15}{12}\; \textsf{and}\;\dfrac{5 \times 3}{4 \times 3}\implies \dfrac{15}{12}\; \textsf{and}\;\dfrac{15}{12}[/tex]
As the two fractions are equal, they form a proportion.
[tex]\textsf{C)} \quad \dfrac{6}{5}\; \textsf{and}\;\dfrac{4}{5}[/tex]
The denominators of these two fractions are already the same.
Therefore, as the two fractions are not equal, they do not form a proportion.
[tex]\textsf{D)} \quad \dfrac{5}{6} \; \textsf{and}\;\dfrac{4}{5}\implies \dfrac{5\times 5}{6\times 5} \; \textsf{and}\; \dfrac{4\times 6}{5\times 6}\implies \dfrac{25}{30}\; \textsf{and}\;\dfrac{24}{30}[/tex]
As the two fractions are not equal, they do not form a proportion.
Jackson used all the butter to make the brownies. If each brownie is 19 1 9 of a batch, how many brownies did he make? Enter your answer in the box.
Answer:
9 brownies
Step-by-step explanation:
Since we are not given the total number of batches. Let us assume the total batches is 81
If each brownie is 1/9 of a batch, number of brownie made will be equivalent to:
Amount of brownie made = 1/9 × 81
Amount of brownie made = 81/9 = 9 brownies
Hence he made 9 brownies
The two angles shown are supplementary. Down below
Answer:
x = 48
Step-by-step explanation:
If the two angles are supplementary then their sum must be 180 degrees
x + 34 + 2x + 2 = 180
3x + 36 = 180 subtract 36 from both sides
3x = 144 divide both sides by 3
x = 48
Anyone know this? I’m a wee bit brain dead any help is appreciated
Answer:
I believe this is the only answer I got from you bro.
hope it helps.
Decide whether the rates are equivalent.
$16 for 4 pounds
$1 for 4 ounces
O Equivalent
O Not equivalent
Fill in the blank: If a number is located to the left
of another number on the number line, that
number is ____ the other number
Answer:
smaller/ less than
Answer:
less than
Step-by-step explanation:
On a number line, the values go from least to greatest, left to right. So if you go towards the left, the number is decreasing.
The annual gym subscription for a single member is Rs.1000, while an annual family membership is Rs.1500. The gym is considering increasing all membership fees by the same amount. If this is done then a single membership would cost 5/7 of a family membership. Determine the amount of the proposed increase.
The amount of the proposed increase is, Rs 1071.4
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The annual gym subscription for a single member is Rs.1000,
And, An annual family membership is Rs.1500.
Here, A single membership increased cost 5/7 of a family membership.
Hence, The increased cost = 5/7 of 1500
= 1071.4 Rupees
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HELP DUE IN 10 MINS!
Find the value of x and y in the kite below.
x=?? degrees
y=?? degrees
Answer:
Diagonals of a kite are perpendicular.
x = 90° - 58° = 32°y = 90° - 22° = 68°Which line L has a slope of zero?
Answer:
D
Step-by-step explanation:
GradientA Gradient is also called a slope of a line, which represents how steep a line is.
Formula of slope: Vertical difference ÷ Horizontal difference
For a slope to be zero, the line must be horizontal.
SolutionBased on the question given, we can deduce that D is a horizontal line and therefore the slope is zero.
Please somebody should help me for my assignment the question is on equation with fraction. A father is 24 yrs older than his son. (a) if the son is x yrs old,how old is the father. (b) if the ratio of their ages is 5:2,find the age of the son?
Answer:
Father age is 40 and Son age is 16
Step-by-step explanation:
Let Father be x and Son be y.
If their ratio of their age is 5:2 then
Find Y:
2x = 5y
x = 5y/25y/2 = y+245y= 2y + 485y-2y = 483y=48y=48/3 y = 16Find X
x=y+24x=16+24x=40The local Dairy Queen sells four
cheeseburgers and two milkshakes for $7.90.
If two milkshakes cost $0.15 than a
cheeseburger, what is the cost of a milkshake?
While two milkshakes are cheaper by $0.15 than a cheeseburger, a cheeseburger costs $1.55 and costs $.85.
what is an equation ?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. A straightforward equation shows the connection between two terms on either side of an equal sign. Additionally, simple equations incorporate one or more of the addition, subtraction, multiplication, and division arithmetic operations.
given
Let a = the cost in cents of a cheeseburger
Let b = the cost in cents of a shake
4a+2b=7 .90
2b=a+15
-a+2b=15
Subtract (2) from (1)
4a+2b=7 .90
a-2b=-15
5a=775
a=155
2b=a+15
b=170/2
b=85
While two milkshakes are cheaper by $0.15 than a cheeseburger, a cheeseburger costs $1.55 and costs $.85.
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PLZ ANSWER THIS ASAP
7(3+5)= _______ + _____
Answer:
56 hope this helped you.
__________ are designed so that the objective of the test is not apparent to the test taker. A. Projective tests B. Source errors C. MMPI tests D. 16PF tests Please select the best answer from the choices provided A B C D
Projective tests are created so that the test taker cannot tell what they are testing for.
What is Projective tests?Projective tests are created so that the test taker cannot tell what they are testing for.A personality test used in psychology is called a projective test. This kind of test provides answers to confusing situations, phrases, or visuals. Unconscious motivations or attitudes are disclosed by asking the person a question or giving them a stimulus that is unclear. Projective exams are designed to enlighten individuals about sentiments, wants, and conflicts that are not readily apparent to them. Psychoanalysts try to find unconscious feelings that might be behind a person's troubles in life by evaluating responses to ambiguous stimuli. Projective testing is mostly used to evaluate personality functioning.To learn more about Projective tests refer to:
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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a Question 18 options: A) kite. B) trapezoid. C) hexagon. D) parallelogram.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Option (d) is the correct choice.
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
A parallelogram has the following qualities:
The opposing sides are equally spaced and parallel.
Angles on either side are equal.
The following or neighboring angles are supplemental.
All of the angles will be at right angles if any one of them is a right angle.
The two diagonals cut across one another.
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value of the 7 in the number 8765?
PLEASE HELP!
Answer:
the answer would be seven hundred
8,000
700
60
5
hope this helps :)
The value of 7 in the number represents 100th place.
What is a place value system?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
The precise position of a number within a series is assigned a value by a place-value system.
The given number is 8765 in the number 7 is representing 100th place. The expanded form of the number can be written as:-
8765 = 8000 + 700 + 60 + 5
Here in the expanded form, it is observed that 7 is the 100th place of the number.
Therefore, the value of 7 in the number represents the 100th place.
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How do you solve this?.....Katherine has a loyalty card good for a 3% discount at her local grocery store. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Answer:
Step-by-step explanation:
To find the number Katherine should multiply the prices on the tags by to find the price she would have to pay before tax, we need to calculate the inverse of the discount percentage, which is 1 - (discount percentage / 100).
Given that the discount is 3% and we want to find the price after the discount, that means:
1 - (3/100) = 1 - 0.03 = 0.97
So, the number Katherine should multiply the prices on the tags by to find the price she would have to pay, before tax, in one step, is 0.97. Multiplying the price of an item by 0.97 is equivalent to subtracting 3% from the original price, which is the same as finding the final price after the discount.
For example, if an item is priced at $10, Katherine can multiply this by 0.97 to find that the final price she would have to pay before tax is $9.7
10*0.97 = 9.7
What are m∠1 and m∠2?
A. ∠1 = 30°, m∠2 = 35°
B. ∠1 = 35°, m∠2 = 30°
C. ∠1 = 65°, m∠2 = 60°
D. ∠1 = 85°, m∠2 = 80°
The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
What is the right triangle?
A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.
To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.
We know that angles 1, 2, and 3 form a triangle, so we can write:
m∠1 + m∠2 + m∠3 = 180
Substituting the given values, we get:
m∠1 + m∠2 + 80 = 180
Simplifying, we get:
m∠1 + m∠2 = 100
We also know that angles 2, 3, and 4 form a triangle, so we can write:
m∠2 + m∠3 + m∠4 = 180
Substituting the given values, we get:
m∠2 + 80 + 85 = 180
Simplifying, we get:
m∠2 = 15
Substituting this value in the first equation, we get:
m∠1 + 15 = 100
Simplifying, we get:
m∠1 = 85
Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
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Answer:
Step-by-step explanation:
The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
What is the right triangle?
A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.
To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.
We know that angles 1, 2, and 3 form a triangle, so we can write:
m∠1 + m∠2 + m∠3 = 180
Substituting the given values, we get:
m∠1 + m∠2 + 80 = 180
Simplifying, we get:
m∠1 + m∠2 = 100
We also know that angles 2, 3, and 4 form a triangle, so we can write:
m∠2 + m∠3 + m∠4 = 180
Substituting the given values, we get:
m∠2 + 80 + 85 = 180
Simplifying, we get:
m∠2 = 15
Substituting this value in the first equation, we get:
m∠1 + 15 = 100
Simplifying, we get:
m∠1 = 85
Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.
The correct answer is option D: ∠1 = 85°, m∠2 = 15°.
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(52 − 3 − 8)− (− 82 − 9 + 12)
Pleaseeeee answer ASAP ✌
Answer:
h=10
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3/7 = h/14- 2/7
3/7=h/14 - 4/14
7/14 - 4/14 = 3/7
(4/14 is the same as 2/7)
helppp plzzzzzzzz i will give brainlist
help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Equivalent expression
The ladder touches the building at 4.53 meters right angle triangle vertical distance from the ground.
What is right-angled triangle?The triangle that has one 90 degrees angle is called right-angled triangle. The Pythagorean theorem is applicable for right-angled triangle.
What is the height of the point where the ladder touches the building A ladder leans up against a building at an angle of 65 degrees with the ground. the length of ladder = 5 meters
we understand that the ladder, building and ground together formed a right-angled triangle. The right angle is in between the building and ground. The length of ladder acts as a hypotenuse of this triangle. If we consider the angle 65 degrees,
then sin 65° = opposite side length / hypotenuse here, opposite side length = the required length we need to determine sin 65° × hypotenuse = opposite side opposite side = 0.9063 × 5 =4.53 meters
the ladder touches the build at 4.53 meters vertical distance from the ground.
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Rudy says that the sum of the measures of the exterior angles of a regular hexagon is 720°. Is Rudy correct? Why or why not?
Answer:
Yes, Rudy is correct
Explanation:
Number of sides of a hexagon = 6
The sum of all interior angles of a polygon with n sides = (n-2)*180
Here, since a regular hexagon has 6 sides, n = 6
= (6 - 2)*180
= 4*180
= 720 degrees
Hope it helps :)
Have a great day!
3/5 times 1/4 simplest form
Answer:
3/20
Step-by-step explanation:
To do this multiply the numerators (the top numbers) together first.
3 * 1 = 3
This is the numerator (the top number) of the answer fraction.
Next we take the bottom numbers:
5 * 4 = 20
We have 3/20 as our fraction. We know 3 is a prime number and can only be divided by 1 or 3. 20 cannot be divided by 1 or 3 so this fraction cannot be simplified any more.