Answer:
243
Step-by-step explanation:
3 to the power of 5
3 x 3 x 3 x 3 x 3
3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243
how do you do factors of 5 grade
Answer:
If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.
Step-by-step explanation:
The stock price for JSR was $74.29 in August. In September the stock had increased by 7%, but in October the price fell by 7%. What was the price of JSR stock in October? Round your answer to the nearest cent, if necessary.
In order to find the price increase multiply by 1 and add the 7%,
\(\begin{gathered} 74.29\cdot(1+0.07) \\ 74.29\cdot1.07 \\ 79.4903 \end{gathered}\)then, apply the same to subtract the 7%
\(\begin{gathered} 79.4903\cdot(1-0.07) \\ 79.4903\cdot(0.93) \\ 73.925\approx73.93 \end{gathered}\)Find a point-slope form for the line with slope 1/5 and passing through the point (-6,-4)
Answer:
(y +4) = 1/5( x +6)
Step-by-step explanation:
Point slope form is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
(y - -4) = 1/5( x - -6)
(y +4) = 1/5( x +6)
Make x the subject of the formula 3 ( c − b x ) = 18
Answer:
- 6-c/b
Step-by-step explanation:
3 ( c − b x ) = 18
=> c - bx = 18/3
=> -bx = 6 - c
∴ x = - 6-c/b
Hopefully this helps!!
The given formula written in the form of x as the subject is obtained as x = (c - 6)/b.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given formula is 3(c − bx) = 18.
It is in the form of a linear equation.
It can be rewritten as follows,
3(c − bx) = 18
⇒ c − bx = 18/3
⇒ bx = c - 6
⇒ x = (c - 6)/b
Which implies the formula written as x as the subject.
Hence, the required form of the given formula is x = (c - 6)/b.
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How many liters are there in 70 quarts?
1 qt≈0.95 L
65.1 L
66.5 L
70.1 L
73.7 L
answer: B
Step-by-step explanation: I Took the k12 quiz. please give a good rating.
Answer:665L
B
Step-by-step explanation:
A number is divided by four and then the quotient is added to ten. The result is eighteen.what is the number
Answer:
32
Step-by-step explanation:
x/4 (+10) = 18
x/4 = 8
32/4 = 8+10 = 18
There are cows and ostriches on a farm. In total there are 44 animals and they have a total of 100 legs. How many cows are on the farm
6 cows are there on the farm, 38 ostriches, for a total of 44 animals. they have a total of 100 legs.
To solve this problem, we need to use algebra. Let's let "c" represent the number of cows on the farm and "o" represent the number of ostriches on the farm. We know that there are 44 animals in total, so:
c + o = 44
We also know that cows have 4 legs and ostriches have 2 legs, and that there are a total of 100 legs on the farm. So:
4c + 2o = 100
Now we have two equations with two variables, so we can solve for one of the variables and then substitute it into the other equation to solve for the other variable. Let's solve for "o" in the first equation:
o = 44 - c
Now we can substitute this into the second equation:
4c + 2(44-c) = 100
Simplifying:
4c + 88 - 2c = 100
2c = 12
c = 6
So there are 6 cows on the farm. To check, we can substitute this into the first equation:
6 + o = 44
o = 38
So there are 6 cows and 38 ostriches on the farm, for a total of 44 animals. And the total number of legs is:
4(6) + 2(38) = 100
So this answer checks out.
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PLEASE NO LINKS AND NO NEGATIVITY
On this problem, the answer has been worked out, but you must fill in the blanks in the solution.A recent study of 28 randomly selected employees of a company showed that the mean of the distance they traveled to work was 14.3 miles. The standard deviation of this sample was 2.0 miles. Find the 95% confidence interval for µ (the true mean time for all employees of the company). Round your answer to one place after the decimal point.
The 1st box: 14.3
second box: 2.052
Third box: 2
fourth box: 28
fifth box: 13.5
sixth box: 15.1
Explanation:\(\begin{gathered} nu\text{mber in survey = 28} \\ n\text{ = 28} \\ \text{degr}ee\text{ of fr}eedom\text{ = n - 1 = 28 - 1} \\ \text{degr}ee\text{ of freedom = }27 \end{gathered}\)\(\begin{gathered} \operatorname{mean}\text{ = }\bar{X}\text{ = 14.3} \\ \text{standard deviation = s = 2} \\ 1\text{ - }\alpha\text{ = 0.95} \end{gathered}\)\(\begin{gathered} To\text{ }find_{}t_{\frac{\alpha}{2}},\text{ }wewould\text{ use the degr}ee\text{ of fr}eedom,\text{ }\frac{\alpha}{2\text{ }}\text{ and t -table} \\ \text{from the table }t_{\frac{\alpha}{2}}\text{ = 2.052} \end{gathered}\)\(\begin{gathered} \bar{X}\text{ }\pm\text{ }t_{\frac{\alpha}{2}}(\frac{s}{\sqrt[]{n}})\text{ = }14.3\text{ }\pm\text{ 2.052(}\frac{2}{\sqrt[]{28}}) \\ \end{gathered}\)\(\begin{gathered} =14.3\text{ - 2.052(}\frac{2}{\sqrt[]{28}})<\text{ }\mu<\text{ }14.3\text{ +2.052(}\frac{2}{\sqrt[]{28}}) \\ =\text{ }14.3\text{ - 0.775 }<\text{ }\mu<\text{ 14.3 +0}.775 \\ =\text{ }14.3\text{ }\pm\text{ 0.775} \\ =\text{ }14.3\text{ }\pm\text{ 0.8} \end{gathered}\)\(\begin{gathered} So,\text{ the confidence interval is:} \\ \text{ 14.3 - 0.8 < }\mu\text{ <}14.3\text{ + 0.8} \\ 13.5\text{ < }\mu\text{ < }15.1 \end{gathered}\)
The 1st box: 14.3
second box: 2.052
Third box: 2
fourth box: 28
fifth box: 13.5
sixth box: 15.1
This is Evaluating Functions.Replace the X values with the number in the question ("Find f( )" )
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
A regular polygon with n sides has n(n-3)/2 diagonals. Find the number of sides of a regular polygon that has 44 diagonals.
\(\dfrac{n(n-3)}{2}=44\\\\n(n-3)=88\\n^2-3n-88=0\\n^2+8n-11n-88=0\\n(n+8)-11(n+8)=0\\(n-11)(n+8)=0\\n=11 \vee n=-8\)
Therefore, the number of sides is 11.
Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?
0 to 100 miles per hour
0 to 50 miles per gallon
times from 0 to 10 minutes
times from –10 to 10 minutes
Answer:
Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32
Step-by-step explanation:Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32Samantha has 8 quarts of milk. The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have? x a. 1 over 32 x b. begin mathsize 16px style 1 half end style x c. 2 x d. 32
Answer:
A
Step-by-step explanation:
Got it right on Edge.
Hope this helps, and please mark me the Brainliest!
Please Help! You Dont Have To do the Bottom Questions Just The Top!
4-3
Write a program that prompts the user to input an integer between 0 and 35. The prompt should say Enter an integer between 0 and 35:.
If the number is less than or equal to 9, the program should output the number; otherwise, it should output:
A for 10
B for 11
C for 12
. . .
and Z for 35.
(Hint: For numbers >= 10, calculate the ACSII value for the corresponding letter and convert it to a char using the cast operator, static_cast().)
Here's a sample program in C++ that satisfies your requirements:
```
#include
using namespace std;
int main() {
int num;
cout << "Enter an integer between 0 and 35: ";
cin >> num;
if (num <= 9) {
cout << num << endl;
} else if (num >= 10 && num <= 35) {
char letter = static_cast('A' + num - 10);
cout << letter << endl;
} else {
cout << "Invalid input." << endl;
}
return 0;
}
```
- The program prompts the user to input an integer between 0 and 35 using the `cout` and `cin` statements.
- The `if` statement checks whether the number is less than or equal to 9. If it is, it outputs the number using the `cout` statement.
- The `else if` statement checks whether the number is between 10 and 35 (inclusive). If it is, it calculates the corresponding letter using the ASCII value for 'A' and the given number. The `static_cast` statement converts the calculated value to a character. Finally, the program outputs the letter using the `cout` statement.
- The `else` statement handles the case when the input is outside the range of 0 to 35. It outputs an error message using the `cout` statement.
- The program ends with the `return 0` statement.
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the mean of 5 number is 11 the numbers are in ratio1:2:3:4:5 find the smallest number
Answer:
3 2/3
Step-by-step explanation:
If the mean is 11 and there are 5 numbers then their sum is 5 × 11 = 55 We have the ratio of parts being a : b : c : d : e → 1 : 2 : 3 : 4 : 5 so the total count of parts is 1 + 2 + 3 + 4 + 5 = 15. a-1/15x55=55 divided by 5/ 15 divided by 5=11/3=3 2/3
If a = b, then xa = xb represents the property of equality.
a) addition
b) symmetric
c) reflexive
The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.
The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.
In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.
Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.
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determine if the function defines an inner product on r2, where u = (u1, u2) and v = (v1, v2). (select all that apply.) u, v = 7u1v1 u2v1 u1v2 7u2v2
Since 7u1v1 ≠ 7v1u1, the property of conjugate symmetry is violated. Therefore, the correct option is option B.
The function is an inner product on R2 if and only if it satisfies the following four properties for any vectors u, v, and w in R2 and any scalar c :Linearity: u, v = v, u Conjugate symmetry: u, u ≥ 0, with equality only when u = 0.
Thus, in this case, the function is not an inner product on R2 because it does not satisfy the property of conjugate symmetry.
Conjugate symmetry, also known as complex conjugate symmetry, is a property of complex numbers.
Given a complex number z = a + bi, where a and b are real numbers and i is the imaginary unit (√(-1)), the conjugate of z is denoted as z* and is defined as z* = a - bi.
Conjugate symmetry refers to the relationship between a complex number and its conjugate. Specifically, if a mathematical expression or equation involves complex numbers, and if z is a solution to the equation, then its conjugate z* is also a solution.
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Help me please and thank you
Answer.
Attached my answer, hope that helps...
Look at the graph. To find the rate of change of the function, Kevin did the following:
StartFraction 0 minus (-1) Over 2 - 2.5 EndFraction = StartFraction 1 Over -0.5 EndFraction = -2.
What was Kevin's mistake?
He incorrectly chose (4,0) as a point on the graph.
He incorrectly chose (0,2) as a point on the graph.
He mixed up the numerator and the denominator of the fraction.
He subtracted -2 from 0 when he should have added -2 to 0.
1 1/2 x 1 1/2 what is the answer for that equation?
Answer:
9/4.
Step-by-step explanation:
Hope this helps! =D
Plzzzzzz help me with all 3 answers
Answer:
1) is arithmetic (because your adding 10)
2) is not arithmetic
3) is arithmetic ( because your adding 10)
Step-by-step explanation:
Find the equation of a line that passes through point (2,4) and has a gradient of 3
Answer:
y=3x-2
Step-by-step explanation:
y-y0=m(x-x0)
y-4=3x-6
y=3x-2
\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)
Find the equation of a line that passes through (2,4) and has a gradient of 3.
\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)
First, let's take a look at our provided information.
| Provided information:-
Point (2,4)Gradient 3What we need to find:-the line's equationHow to find it using our provided information (gradient & point)? write the equation of the line in point-slope form
point-slope form:-\(\sf{y-y_1=m(x-x_1)}\)how to solve:-Replace y₁ with 4Replace m with 3 (m is the gradient)Replace x₁ with 2therefore,\(\sf{y-4=3(x-2)}\)
\(\bigstar\) On simplification,
\(\sf{y-4=3x-6}\)\(\bigstar\) On further simplification,
\(\sf{y=3x-6+4}\)Which results in:-
\(\sf{y=3x-2}\)Good luck with your studies.\(\rule{300}{1}\)
What is the solution to this inequality?
−6x+5>−1
x<−1
x>1
x<1
x>−1
if expected frequencies are not all equal, then we can determine them by enp for each individual category, where n is the total number of observations and p is the probability for the category. b. if expected frequencies are equal, then we can determine them by , where n is the total number of observations and k is the number of categories. c. expected frequencies need not be whole numbers. d. goodness-of-fit hypothesis tests may be left-tailed, right-tailed, or two-tailed.
If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.
On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.
Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.
Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.
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sing polar coordinates, evaluate the integral which gives the area which lies in the first quadrant between the circles:x2+y2=16x2+y2=16andx2−4x+y2=0
The area in the first quadrant between the given circles is 2π.
The given equation of circles are:
x²+y²=16,
x²+y²=16,
x²−4x+y²=0
To evaluate the integral, we'll need to convert the equations into polar coordinates.
The first circle, x² + y² = 16.
In polar coordinates,
x = rcosθ
y = rsinθ.
Substituting these into the equation,
we get r²cos²θ + r²sin²θ = 16.
Simplifying this equation, we have r² = 16,
which simplifies further to r = 4.
The second circle, x² - 4x + y² = 0.
Converting this into polar coordinates, we have
(rcosθ)² - 4(rcosθ) + (rsinθ)² = 0.
Simplifying this equation, we get
r² - 4rcosθ = 0,
Which leads to r = 4cosθ.
To find the area in the first quadrant between these two circles,
Integrate the area element dA over the given region.
The area element in polar coordinates is given by
dA = 1/2 (r² dθ).
Now, set up the integral to evaluate the area:
\(A = \int\limits^{\frac{\pi}{2}}_0 {(\frac{1}{2} r^2)} \, d\theta\\ =\frac{1}{2} \int\limits^{\frac{\pi}{2}}_0 {4cos^2\theta} \, d\theta \\= 8 \int\limits^{\frac{\pi}{2}}_0 {cos^2\theta} \, d\theta\)
Using trigonometric identities,
We can simplify this integral further:
\(= 8 \int\limits^{\frac{\pi}{2}}_0 {(1+cos2\theta)/2} \, d\theta\) [∵ cos2θ = 2cos²θ - 1]
= (1/2) [(8(π/2) + 4sin(2(π/2))) - (8(0) + 4sin(2(0)))]
= (1/2) [(4π + 0) - (0 + 0)]
= 2π
Hence,
The area in the first quadrant between the given circles is 2π.
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Classify the following triangle. Check all that apply.
• A. Equilateral
• B. Obtuse
• C. Isosceles
• D. Scalene
• E. Acute
• F. Right
Answer:
I don't have a way to explain, but it is an Equilateral and Isosceles :)
Hope it helps!
helpppp me please……….
Answer:
45°
Step-by-step explanation:
sin∠U = 5√2 / 10 = √2/2
m∠U = sin⁻¹(√2/2) = 45°
find an equation for the tangent to the curve y = 8x x2 1 at the point (1, 4).
The equation of the tangent line to the curve y = 8x / (x^2 + 1) at the point (1, 4) is y = -4x + 8.
To find the equation of the tangent line to the curve y = 8x / (x^2 + 1) at the point (1, 4), we can use the slope-intercept form of the equation of a line, which is:
y - y1 = m(x - x1)
where (x1, y1) is the given point, and m is the slope of the tangent line.
To find the slope of the tangent line, we need to take the derivative of the function y = 8x / (x^2 + 1) and evaluate it at x = 1:
y' = [8(x^2 + 1) - 8x(2x)] / (x^2 + 1)^2
y' = [8 - 16x^2] / (x^2 + 1)^2
y'(1) = [8 - 16(1)^2] / (1^2 + 1)^2
y'(1) = -4
Therefore, the slope of the tangent line at the point (1, 4) is -4.
Substituting the values of x1, y1, and m into the slope-intercept form of the equation of a line, we get:
y - 4 = (-4)(x - 1)
Simplifying the equation, we get:
y - 4 = -4x + 4
y = -4x + 8
Therefore, the equation of the tangent line to the curve y = 8x / (x^2 + 1) at the point (1, 4) is y = -4x + 8.
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I just need the equation me and my husband and I are trying to figure out the equation before our daughter help please and thank you
Answer:
y = 8/5 x + 24
Explanation:
To get an equatio for the best line of fit, we will have to loacte two coordinate points on the line first. Using the coordinate points (10, 40) and (35, 80)
The general equation of a line is expressed as y = mx+b
m is the slope
b is the y intercept
Get the slope m
m = y2-y1/x2-x1
m = 80-40/35-10
m = 40/25
m = 8/5
Get the y-intercept
Substitute m = 8/5 and the point (10,40) into the equation y = mx+b
40 = 8/5(10) + b
40 = 16+b
b = 40 - 16
b = 24
Get the required equation using y = mx+b
y = 8/5 x + 24
This gives the required equation
What is sextillion divided by nonmillion times 10,000 minus 200 million plus 5000.
The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
Define the term expression?A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.
First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.
Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.
Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.
Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.
Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
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