The value of x, given that when it divides a number, there is a quotient and a remainder, is 400
How to find the value of x?To find the value of divisor, we can use a variant of the division algorithm formula :
Divisor = ( Dividend - Remainder ) / Quotient
x is the divisor
Dividend = 19, 432
Remainder = 232
Quotient = 48
This means that the value of x is:
x = ( 19, 432 - 232 ) / 48
x = 19, 200 / 48
x = 400
In conclusion, x is 400.
Find out more on remainder at https://brainly.com/question/19336517
#SPJ1
Ethan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions.
Answer: There are 40 questions on Ethan's test.
Step-by-step explanation: To find what 32 is 80% of, you must first convert 80% to a decimal (.8).
Next, divide 32 by .8.
[tex]32/.8 = 40[/tex]
I called at 11:45 pm been on the phone for 1 hour 24 minutes what time did that person hang up
Answer:
If you called at 11:45 pm and were on the phone for 1 hour 24 minutes, the call would have ended at 1:09 am.
.54 oz of premium walnuts costs $12.95. what is cost per ounce
The cost per ounce of the premium walnut is $0. 23
What is proportion?To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such that they are made equal to another.
From the information given, we have that;
54 ounces of premium walnuts costs $12.95
This is represented as;
54 ounces = $12. 95
Then 1 = x
cross multiply the values, we get;
x = $12.95/54
Divide the values, we get;
x = $0. 23
Hence, the value is $0. 23 per premium walnut
Learn more about proportion at: https://brainly.com/question/1781657
#SPJ1
Find and compare the domain and range of each function. f(x) = 5/8x + 1 g(x) = 2/3x^3 A. The domains and ranges of both functions are not restricted. B. The domain of f is restricted, but its range is not. The domain and range of g are not restricted. C. The range of f is restricted, but its domain is not. The domain and range of g are not restricted. D. Both the domain and range of f are restricted, but the domain and range of g are not.
A. The domains and ranges of both functions are not restricted.
For f(x) = 5/8x + 1, any real number can be plugged in for x, so the domain is (-∞, ∞). Similarly, any real number can be obtained by evaluating the function, so the range is also (-∞, ∞).
For g(x) = 2/3x^3, any real number can be plugged in for x, so the domain is (-∞, ∞). As x is cubed, the range can be negative or positive infinity, or any real number in between, so the range is also (-∞, ∞).
Therefore, both functions have unrestricted domains and ranges.
The correct answer is A.
Highschool geometry please answer questions 8-10 in the attachment added
A student argues that y=x/9 does not represent a proportional relationship between x and y because we need to multiply one variable by the same constant to get the other one and not divide it by a constant. Do you agree or disagree with this student? Explain why.
The student's argument that y=x/9 does not represent a proportional relationship between x and y is false because there is constant factor which shows the proportional relationship.
A proportional relationship exists between two variables if they are related by a constant factor, meaning that multiplying one variable by a constant results in the other variable. However, this constant can also be obtained by dividing one variable by the other, as in the case of y=x/9.
To see why, we can rearrange the equation to x=9y, which shows that x is proportional to y with a constant factor of 9. Multiplying y by 9 results in x, just as dividing x by 9 results in y. Therefore, the relationship between x and y is still proportional, regardless of whether we multiply or divide to obtain the constant factor.
In general, we can say that a relationship between two variables is proportional if it can be written in the form y=kx, where k is a constant. It does not matter whether we use multiplication or division to express this constant, as long as it is the same for all values of x and y.
To learn more about proportional click on,
https://brainly.com/question/29731241
#SPJ1
The graph of f(x) is shown below. - NW544 -3 (0.6) 2 1 -6-5-4-3-2-11 7 7 7 7 9 9 2 4 1 2 3 4 5 6 x If f(x) and its inverse function, f¹(x), are both plotted on the same coordinate plane, where is their point of intersection?
The point of intersection between a Inverse Functions and its inverse occurs at (2, 2).
The point of intersection between a function and its inverse occurs when the input and output values are the same for both functions.
To find the point of intersection, we need to find the value of x where f(x) = f-1(x).
In this particular case, we can see from the graph that the point of intersection occurs at (2, 2).
Learn more about Inverse Functions here:
https://brainly.com/question/35491336
#SPJ2
What is the next term in the pattern? 1,1,5,17,71,247
Answer: 1085
Step-by-step explanation:
Differentiate y = x^3 ln 2x/e^x Sin x
Differentiating y = x^3 ln 2x/e^x Sin x is: y' = x^2 [(3 ln 2x/e^x Sin x + 3/x) - 2 ln 2x/e^x Sin x cos x + cos x].
What is Differentiation?Differentiate y can be find using the product and chain rule.
Using the chain rule
v'(x) = [1/(2x/e^x)] * (2e^x - e^x*2x) / (2x/e^x)^2
v'(x) = [e^x(2-e^x)] / (2x)^2
Using the product rule
y' = 3x^2 ln(2x/e^x) sin(x) + x^3 [e^x(2-e^x)] / (2x)^2 sin(x) + x^3 ln(2x/e^x) cos(x)
Simplifying
y' = 3x^2 ln(2x/e^x) sin(x) + (x/2) [2-e^x] sin(x) + x^3 ln(2x/e^x) cos(x)
So,
derivative of y is:
y' = 3x^2 ln(2x/e^x) sin(x) + (x/2) [2-e^x] sin(x) + x^3 ln(2x/e^x) cos(x)
Therefore the differentiate of y is 3x^2 ln(2x/e^x) sin(x) + (x/2) [2-e^x] sin(x) + x^3 ln(2x/e^x) cos(x).
Learn more about differentiation here:https://brainly.com/question/25081524
#SPJ1
in a race in which 9 contestants are entered in how many ways can first second and third place be awarded
Answer: 504 different ways.
Step-by-step explanation:
This situation uses a permutation. We will use the given formula and simplify to solve. n is equal to the number of contestants and r is 3 since we are selecting and first-, second-, and third-place winner.
Given:
[tex]\displaystyle P = \frac{n!}{(n-r)!}[/tex]
Substitute values:
[tex]\displaystyle P = \frac{9!}{(9-3)!}[/tex]
Subtract:
[tex]\displaystyle P = \frac{9!}{6!}[/tex]
Multiply:
[tex]\displaystyle P = \frac{9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1}[/tex]
Simplify using the knowledge that something divided by itself is 1:
P = 9 * 8 * 7
Multiply:
P = 504
We can also think of it as 9 different people could win 1st, 8 different people could win 2nd, and 7 different people could win 3rd. 9 * 8 * 7 = 504. However, the steps above show why this works with the formula as well.
PLEASE HELP (WILL GIVE BRAINLIEST
Answer:
6.7 = π(r^2)(33.5/12)
r = .874
75/(2 × .874) = 42.9 = 42 barrels
6.7 = (3.14)(r^2)(33.5/12)
r = .874
75/(2 × .874) = 42.9 = 42 barrels
Using the above supply/demand graph, what is the price at the point of equilibrium
The price at the point of equilibrium is 105
What is the price at the point of equilibrium?From the question, we have the following parameters that can be used in our computation:
The supply/demand graph
The price at the point of equilibrium is the price where the lines/curves of the supply and the demand functions intersect
Using the above and the graph as a guide, we have the following:
Price = 105 when demand = supply
Hence, the price at the point of equilibrium is 105
Read more abou demand and supply at
https://brainly.com/question/15247997
#SPJ1
Question
Using the above supply/demand graph, what is the price at the point of equilibrium? a. 105 b. 100 c. 95 d. 80
Fill in the paragraph shown with the correct information from the answer choices provided.
Portland Rainfall
Seattle Rainfall
(inches)
(inches)
4
3
2
Week
1
2
3
4
5
5
10
1
4
7
6
5
A meteorologist tracks the rainfall in two cities.
variability
By calculating the
claim that Portland tends to receive more rainfall than Seattle.
of the data, the meteorologist can
mean
By calculating the median of the data, the meteorologist can claim that Portland tends to receive more rainfall than Seattle.
How to obtain the median of a data-set?The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.
The ordered data-sets for each city are given as follows:
The median is the middle element for each data-set, hence it is given as follows:
Seattle: 4 inches.Portland: 5 inches.More can be learned about the median of a data-set at brainly.com/question/3514929
#SPJ1
Given g(x)=x²-6x-16, which statement is true?
The zeros are -8 and 2, because the factors of gare (x+8) and (x-2).
The zeros are -8 and -2, because the factors of g are (x + 8) and(x+2).
The zeros are -2 and 8, because the factors of gare (x+2) and (x-
8).
The zeros are 2 and 8, because the factors of gare (x-2) and (x-
8).
Since g(x) = x² - 6x - 16, a statement which is true include the following: C. The zeros are -2 and 8, because the factors of g are (x+2) and (x-
8).
What is the general form of a quadratic function?In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Next, we would solve the quadratic function by using the factorization method as follows;
g(x) = x² - 6x - 16
0 = x² - 6x - 16
0 = x² - 8x + 2x - 16
0 = x(x - 8) + 2(x - 8)
(x - 8)(x + 2)
x = 8 or x = -2.
Read more on quadratic functions here: brainly.com/question/29499209
#SPJ1
The Hullian learning model asserts that the probability p of mastering a task after t learning trials is approximated by p (t) = 1 - e -kt where k is a constant that depends on the task to be learned. Suppose that a new dance is taught to an aerobics class. For this particular dance, the constant k = 0.28.
a. What is the probability of mastering the dance's steps in 1 trial? 2 trials? 5 trials? 11 trials? 16 trials? 20 trials?
Find the rate of change, p'(t).
Sketch a graph of the function.
Answer:
Step-by-step explanation:
a. Using the formula p(t) = 1 - e^(-kt), where k = 0.28:
Probability of mastering the dance's steps in 1 trial: p(1) = 1 - e^(-0.28*1) ≈ 0.243
Probability of mastering the dance's steps in 2 trials: p(2) = 1 - e^(-0.28*2) ≈ 0.446
Probability of mastering the dance's steps in 5 trials: p(5) = 1 - e^(-0.28*5) ≈ 0.846
Probability of mastering the dance's steps in 11 trials: p(11) = 1 - e^(-0.28*11) ≈ 0.981
Probability of mastering the dance's steps in 16 trials: p(16) = 1 - e^(-0.28*16) ≈ 0.997
Probability of mastering the dance's steps in 20 trials: p(20) = 1 - e^(-0.28*20) ≈ 0.999
b. The rate of change, p'(t), can be found by taking the derivative of the function p(t):
p'(t) = k * e^(-kt)
c. Here's a graph of the function p(t):
I apologize for the technical issue, but the graph doesnt load, so here's a description of the graph:
The graph of p(t) should be an increasing curve that starts at 0 and approaches 1 asymptotically. As t increases, the rate of change of p(t) decreases, which means that the curve becomes flatter and approaches the horizontal asymptote of y=1. The curve is concave down, meaning that its rate of change is decreasing. At t=0, the rate of change is k, which is the steepest point of the curve.
_______________________
graph of p(t) = 1 - e^(-0.28*t)
The x-axis represents the number of learning trials, and the y-axis represents the probability of mastering the dance's steps. As the number of trials increases, the probability of mastering the steps approaches 1 (or 100%).
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
The polynomial can be written as a product of polynomials as (3xy³ - 5x²y⁴)(3xy³ + 5x²y⁴)
option C.
What is the product of the polynomial?To rewrite the polynomial as the product of its form, we will factor the polynomial as shown below;
9x²y⁶ − 25x⁴y⁸ = x²y⁶(9 − 25x²y²)
The function (9 − 25x²y²), can factored using difference of two squares;
(9 − 25x²y²) = 3² − (5xy)²
3² − (5xy)² = (3 - 5xy)(3 + 5xy)
The final equation as the product of its factors is calculated as;
9x²y⁶ − 25x⁴y⁸ = x²y⁶(3 - 5xy)(3 + 5xy)
= (3xy³ - 5x²y⁴)(3xy³ + 5x²y⁴)
Learn more about polynomials here: https://brainly.com/question/2833285
#SPJ1
a robotic vacum cleanervacumsonehotelroomin 3/10 hour. at this rate, how many rooms of the same size will it vaccum in 3 hours
The number of rooms of the same size it willl vaccum in 3 hours is 10
How many rooms of the same size will it vaccum in 3 hoursFrom the question, we have the following parameters that can be used in our computation:
Unit rate = 3/10 hour per room
Time = 3 hours
using the above as a guide, we have the following:
Number of rooms = Time/Unit rate
Substitute the known values in the above equation, so, we have the following representation
Number of rooms = 3/(3/10)
Evaluate the quotient
Number of rooms = 10
Hence, the number of rooms is 10
Read more about unit rates at
https://brainly.com/question/19493296
#SPJ1
Can someone please help me with this, it’s super confusing and I can’t find help anywhere
Answer:
Step-by-step explanation:
ask ur teacher
A company issues $50,000 of 8%, 10-year bonds dated January 1 that pay interest semiannually on June 30 and December 31 each year. If bonds are sold at par value, the issuer records the first semi-annual interest payment with a credit to in the amount of $ .
The first semi-annual interest payment with a credit to in the amount of $109.556.15
Given that, a company issues $50,000 of 8%, 10-year bonds dated January 1 that pay interest semiannually on June 30 and December 31 each year.
We need to find the amount,
[tex]A = P(1+r/2)^{2t}[/tex]
[tex]A = 50,000(1+0.08/2)^{2(10)[/tex]
[tex]A = 50,000(1.04)^{20[/tex]
[tex]A = 109,556.15[/tex]
Hence, the first semi-annual interest payment with a credit to in the amount of $109.556.15
Learn more about semi-annual interest click;
https://brainly.com/question/30573341
#SPJ1
18+(d+3)(d-3)(4)
How do I distribute?
Answer:
Step-by-step explanation:
To distribute the expression 18+(d+3)(d-3)(4), you can use the distributive property of multiplication, which states that a(b+c) = ab + ac.
Here's how you can apply the distributive property to the expression:
First, simplify the expression inside the parentheses by using the difference of squares formula: (d+3)(d-3) = d^2 - 3d + 3d -9
(d+3)(d-3) = d^2 - 9
So now the expression becomes:
18 + (d^2 - 9)(4)
Next, use the distributive property to multiply 4 by each term inside the parentheses:
18 + 4d^2 - 36
Simplify by combining like terms:
4d^2 - 18
So the final result is 4d^2 - 18
Find the average of the numbers: 16 and 17
Answer:
16.5
Step-by-Step Explanation:
16.5 would be the average because it is right between 16 and 17. hope that helps :)
Medication with strength 125 mg/5 mL has been ordered at 5 mg/kg. The patient weighs 134 lb. How much should be administered? (If less than 1, round to the nearest hundredth; otherwise, round to the nearest tenth.)
Rounding to the closest hundredth, the final result is 12.16 mL, which is the amount of the drug that should be administered.
The patient's weight must first be converted from pounds to kilograms.
1 lb = 0.453592 kg
Therefore, 134 lb = 60.78 kg
The dose must then be determined depending on the patient's weight:
60.78 kg times 5 mg/kg equals 303.9 mg.
Now that we know the medication's concentration, we need to determine how much to deliver.
25 mg/mL x 125 mg/5 mL
The dosage for 303.9 mg is as follows:
303.9 mg x 25 mg/mL = 12.16 mL
The final result, rounded to the closest hundredth, is 12.16 mL.
To learn more about hundredth follow the link:
https://brainly.com/question/30528804
#SPJ1
Help me please I don’t understand
Answer:16x-4-2x+8=14x+4
Step-by-step explanation:
In order to solve this question you first want to multiply everything inside the bracket by the number outside.
4(4x-1)
so 4 times 4x which is 16x and 4 times -1 which is -4 so the first bracket is
(16x-4)
then do the same for the second bracket
-2(x-4)
so -2 times x would be -2x and -2 times -4 would be 8
for the final step collect the like terms and solve
so your answer would be
16x-2x which would be 14x and -4+8 which would be 4
so in conclusion the answer is
14x+4
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 8.5% per hour. How many hours does it take for the size of the sample to double?
Two functions are shown in the table below. Function 1 2 3 4 5 6 f(x) = −x2 + 4x + 12 g(x) = x + 2 Complete the table on your own paper, then select the value that is a solution to f(x) = g(x). (2 points) Group of answer choices x = 2 x = 3 x = 5 x = 6
simplify the following expression:
(2x^3)^2 * (3x)^4
[tex](2x^3)^2\cdot (3x)^4\implies (2^2 x^{3\cdot 2})\cdot (3^4x^4)\implies 4x^6\cdot 81x^4 \\\\\\ (4)(81)x^{6+4}\implies 324x^{10}[/tex]
log3 55=x
Use the base of formula to solve for x in logaritm experssion
The change of base formula log 55 / log 3. The base we use to solve via change of base formula is Base 10. The value of x = 55.
The logarithmic expression given is
log₃ 55 = x
To solve for x using the change of base formula, we can use the formula
logₐ b = log c / log a
where a, b, and c are positive real numbers and a ≠ 1.
Using this formula, we can rewrite the given expression as
log x / log 3 = log 55 / log 3
We can simplify this expression by canceling out log 3 on both sides
log x = log 55
Now, we can use the definition of logarithms, which states that if log a b = c, then [tex]a^c[/tex] = b. Using this definition, we get
x = 55
Therefore, the solution is x = 55, rounded to the nearest hundredth of a decimal.
To know more about logarithmic expression:
https://brainly.com/question/24211708
#SPJ1
Martina vence a Jelena en 2 juegos de un total de 3 en el tenis. ¿Cuál es la probabilidad de que Jelena gane un set de de tenis 6 juegos a 4?
Pista: ¿Cuál es el score que tendría que haber después de 9 juegos?
0.034141137 o sobre 17/500
Gate posts are parallel and m<4 =47, what is m<1
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
Learn more about parallel lines on
https://brainly.com/question/24607467
#SPJ1
If the rate of inflation is 2.6% per year, the future price p (1) (in dollars) of a certain item can be modeled by the following exponential function, where it is the
number of years from today.
P (0)=1200 (1.026)
Find the current price of the item and the price 8 years from today.
Round your answers to the nearest dollar as necessary.
Current price $?
Price from 8 years from today$?
Answer: the price of the item 8 years from today is approximately $1475.
Step-by-step explanation:
The given exponential function to model the future price of the item is:
P(t) = P(0) * (1.026)^t
Here, P(t) represents the price of the item t years from today, and P(0) is the current price of the item.
1. To find the current price, we need to find P(0):
P(0) = 1200 * (1.026)^0
Since any number raised to the power of 0 is 1:
P(0) = 1200 * 1
P(0) = $1200
So, the current price of the item is $1200.
2. To find the price 8 years from today, we need to find P(8):
P(8) = 1200 * (1.026)^8
Using a calculator:
P(8) ≈ 1200 * 1.229057
P(8) ≈ $1474.87
Rounded to the nearest dollar:
P(8) ≈ $1475
So, the price of the item 8 years from today is approximately $1475.