true or false: the quantity represented by θ is a function of time (i.e., is not constant).
Answer: the answer to this is true
Work out the perimeter of this shape :
Answer:
34cmStep-by-step explanation:
just sum all the sides
2 + 5 + 3 + 3 + 9 + 3 + 4 +5 =
34 cm =
Answer:
Step-by-step explanation:
perimeter = distance round a figure
so, you will need to add;
2+(5*2)+(3*2)+9+4= 34 cm
NB:we have multiplied 5 and 3 by2 each because we are considering the other side of the figure
how many significant figures are there in the number 1.032
There are four significant figures in the number 1.032.
Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:
Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.
Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.
Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.
Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.
By applying these rules, we find that the number 1.032 has four significant figures.
The number 1.032 has four significant figures.
To know more about Significant figures, visit
https://brainly.com/question/33741100
#SPJ11
A $60 shirt is on sale for 30% off. How much is the shirt's sale price?
Answer:39?
Step-by-step explanation:
Please answer number 3???
The equation for line q can be written as y=x-1. Line ris perpendicular to line q and
passes through (8, -7). What is the equation of line r?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Step-by-step explanation:
The slope of line q is 1 since the coefficient of x is 1. Since line r is perpendicular to line q, its slope will be the negative reciprocal of the slope of line q. Thus, the slope of line r will be -1.
Now we can use the point-slope form of the equation of a line to find the equation of line r. We know that line r passes through the point (8, -7), so we can write: y - (-7) = -1(x - 8)
Simplifying this equation, we get: y + 7 = -x + 8
Subtracting 7 from both sides, we get: y = -x + 1
So the equation of line r in slope-intercept form is y = -x + 1. The coefficients of x and the constant term are already integers, so we don't need to simplify them further.....
I Will give brainliest!! On a piece of paper graph -- Then determian which answer choice matches the graph you drew
Answer:
i dont know sry for the bother
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
that's the only graph that actually matches the coordinates
Find the equation of the circle which passes through the points a(-3,-2), and b(0, -1) and where the line 2x - y+4=0 is a tangent at the point a(-3,-2).
The equation of the circle is (x+3)^2 + (y+1)^2 = 13.
The center of the circle is the point of tangency, which is (-3, -2). The radius of the circle is the distance between the center and one of the points on the circle, which is (0, -1). The distance between (-3, -2) and (0, -1) is 5, so the radius of the circle is 5. The equation of the circle is then (x - (-3))^2 + (y - (-2))^2 = 5^2 = 25. This simplifies to (x+3)^2 + (y+1)^2 = 13.
The center of the circle is the point of tangency, which is found by solving the equation of the tangent line and the equation of the circle. In this case, the equation of the tangent line is 2x - y + 4 = 0. We can solve this equation for y to get y = 2x + 4. This is the equation of the line tangent to the circle at the point of tangency.
The radius of the circle is the distance between the center and one of the points on the circle. In this case, we can use the point (0, -1) to find the radius. The distance between (-3, -2) and (0, -1) is 5, so the radius of the circle is 5.
The equation of the circle is then (x - (-3))^2 + (y - (-2))^2 = 5^2 = 25. This simplifies to (x+3)^2 + (y+1)^2 = 13.
To learn more about circle here brainly.com/question/15424530
#SPJ11
I don't know how to calculate. Pls help me!
thanks
Step-by-step explanation:
Let the unknown number is x. So, we can write the equation like this.
\( ? \div \frac{1}{2} = \frac{1}{5} \times ?\)
\(x \div \frac{1}{2} = \frac{1}{5} \times x\)
\(x \times \frac{2}{1} = \frac{x}{5} \)
\(2x = \frac{x}{5} \)
\( \: \)
—Now, find the value of x.
\(2x = \frac{x}{5} \)
\(5 \times2x = x\)
\(10x = x\)
\(10x - x = 0\)
\(9x = 0\)
\(x = \frac{0}{9} \)
\(x = 0\) IS THE ANSWER
Step-by-step explanation:
\(□ \div \frac{1}{2} = \frac{1}{5} \times □\)
\(x \div \frac{1}{2} = \frac{1}{5} \times x\)
\( \frac{ \frac{x}{1} }{2} = \frac{1}{5} x\)
\( \frac{x}{2} = \frac{1}{5} x\)
\( \frac{x}{2} = \frac{1x}{5} \)
\( \frac{x}{2} = \frac{x}{5} \)
\(10 \times \frac{x}{2} = 10 \times \frac{x}{5} \)
\(5x = 2x\)
\(5x - 2x = 2x - 2x\)
\(3x = 0\)
\( \frac{3x}{3} = \frac{0}{3} \)
\(x = 0\)
The answer is 0
A line goes thought the points (3,5) (6,1)
a. What is the slope of the line? Show your work
b. Write the equation of the line in point-slope form. Show your work.
c. Rewrite the equation into slope-intercept form. Show your work.
Step-by-step explanation:
Slope = y2 - y1 divided by x2 - x1
Lets make (3,5) as 2, and (6,1) as 1
Slope = 5 - 1 divided by 3 - 6
Slope = -4/3
Point Slope Form: (y - y1) = m(x - x1)
Lets use point (3,5)
(y - 5) = m(x - 3)
m is the slope and we know that the slope is -4/3 so...
(y - 5) = -4/3(x - 3): Point Slope Form Answer
Slope-Intercept Form: y = mx + b
m is the slope and b is the y-intercept
We know that the slope is -4/3
y = -4/3x + b
You can use any of the 2 points and plug it into the equation above to solve for b. So lets use point (3,5)
5 = -4/3(3) + b
5 = -4 + b
b = 9, now plug it back into y = -4/3x + b
y = -4/3x + 9: Slope-Intercept Answer
the president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean sat score is lower than previous years. he took a sample of 30 of this year's entering students and found that their mean sat score is 1,501 with a standard deviation of 53. the university's record indicates that the mean sat score for entering students from previous years is $1,520. he wants to find out if his claim is supported by the evidence at a 5% significance level. which of the following best describes a type i error? the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed not lower the president concludes that the mean sat score of the entering students is higher than previous years when it is indeed higher the president concludes that the mean sat score of the entering students is not lower than previous years when it is indeed lower the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed lower
The result is not statistically significant.
To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.
The null hypothesis is
H₀ : μ ≥ 1520
The alternative hypothesis is
Hₐ : μ ≤ 1520
then the test statistic is,
t = (x - μ)/(s/√n)
= (1501 - 1520)/(53/√20)
t = - 1.603
The t-test statistic is - 1.603.
Degree of freedom n - 1 = 20 - 1 = 19
Hence the t-critical value is -1.792.
The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.
The result is not statistically significant.
To know more about mean score here
https://brainly.com/question/16907497
#SPJ4
Why would solving systems by graphing not be the best way to solve a system?
Solving a system by graphing not be the best way to solve it as sometimes it is too time-consuming, and also we cannot solve complex equations with large numbers easily by this.
Solving systems by graphing can be a useful tool, but it is not always the best way to solve a system. Graphs can be difficult to interpret, and it can be difficult to determine if a solution exists based on the graph alone.
Additionally, graphing systems may not be the most efficient way to solve a system, as the process can be time-consuming and require a lot of calculations for larger systems.
Finally, graphing systems can be difficult for systems with large numbers of variables or complex equations, as it can be difficult to accurately draw a graph for such systems.
Learn more about graphs:
https://brainly.com/question/29427540
#SPJ4
A circle of radius 2units and it's centre at(3,1). Find the equation of the circle in expended form
\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{3}~~,~~\underset{k}{1})} \qquad \stackrel{radius}{\underset{r}{2}} \\\\[-0.35em] ~\dotfill\\\\( ~~ x - 3 ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x -3)^2 + (y -1)^2 = 4 \\\\\\ (x^2-6x+9)+(y^2-2y+1)=4\implies x^2-6x+y^2-2y+10=4 \\\\\\ ~\hfill~ {\Large \begin{array}{llll} x^2-6x+y^2-2y+6=0 \end{array}} ~\hfill~\)
En
• un
juego se reparten 210 puntos de forma
inversamente proporcional al número de fallos cometidos.
Gerardo ha cometido 4 fallos, Rubén 6 y Sara 12. ¿Cuántos
puntos le corresponden a cada uno?
Using the given ratio we will get that:
Sara gets 115 points.Gerardo gets 38Rubén gets 57How many points gets each one?
We know that there are a total of 210 points to be divided.
Gerardo gets 4 fails
Rubén gets 6 fails.
Sara gets 12 fails.
Then we have the ratio 4 : 6 : 12
The total of that is 4 + 6 + 12 = 22 fails.
Then; Gerardo gets (4/22) of the points:
G = (4/22)*210 = 38
Ruben gets (6/22) of the points:
R = (6/22)*210 = 57
Sara gets (12/22) of the points:
S = (12/22)*210 = 115
Learn more about ratios at:
https://brainly.com/question/2328454
#SPJ1
Dominic is shopping at a store that is offering a discount of 15\%15%15, percent off the usual price of any item. Write an equation that represents the amount of discount offered (d) on an item whose usual price is p. How much discount does Dominic receive on an item whose usual price is 80pounds
The equation that represents the amount of discount offered (d) on an item whose usual price is p d = 0.15p.
The discount on 80 pounds will be 12 pounds.
How to calculate the equation?From the information given, Dominic is shopping at a store that is offering a discount of 15 percent off the usual price of any item.
Let the price of the item be illustrated as p.
Since there's a 15% off, this will be:
= p - (15% × p)
= p - 0.15p
= 0.85p
The discount is 0.15p
The discount on 80 pounds will be:
= 0.15 × 80
= 12
The discount is 12 pounds.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
Kirk went to a friend's house after dinner. He left his house at the time shown on the clock and returned home at 8:05 P.M. Part A How long was Kirk gone? ____ minutes Part B Explain how you found your answer.
Answer:
He was gone for 36 minutes
Step-by-step explanation:
Sorry if wrong
help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
a ballroom had a square dance floor. The area of the floor is 400 square feet. If the length of each side of the square increased by one foot, would its area be a rational number?
Answer:
Yes
Step-by-step explanation:
The area of a square is equal to the length squared.
So, the length of one side of the original floor is √400 which equals 20.
If you increase the length by 1, the area of the dance floor is 21 squared.
21 * 21 is certainly a rational number.
Answer:
Step-by-step explanation:
I think so, yes.
The area of a square is A = s*s where s is the length of the side
s^2 = 400
sqrt(s^2) = sqrt(400)
s = 20
If you increase each dimension by one foot you get 21 * 21 for the area of the new ballroom.
The result is rational. That's because the square root was rational when you found 20.
Area = 21 * 21 = 441 which is rational.
Solve the system of equations. 3 x + 4 y = − 23 x = 3 y + 1 3x+4y=−23 x=3y+1
x=
Answer:
x=−5
y=−2
Step-by-step explanation:
{3x+4y=-23}{x=3y+1}
x=−5
y=−2
I need help with this please
Answer:
D
Step-by-step explanation: 5 are crossed rows by 3 and then 7 by 5 are shaded in and than is 2 different numbers in together multiplied equals 1.500 which is D
please help me with this math problem
2 × (7 - 3) = ( × 7) - ( × 3)
Answer: 3/7 + 2/7 = 5/7 ≅ 0.7142857
The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate.T/F
The given statement " The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate " is false because the allowable range for an objective function coefficient assumes that the original estimates for other coefficients are approximately correct
The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are approximately correct, but not necessarily completely accurate. The allowable range takes into account the potential variability or uncertainty in the estimated values of the other coefficients, as well as the impact of any errors or discrepancies in the data used to estimate the model.
Therefore, the allowable range provides a range of values within which the objective function coefficient can vary while still producing a valid and useful model. It does not assume that the other coefficients are completely accurate or that this is the only coefficient whose true value may differ from its original estimate.
Learn more about objective function here
brainly.com/question/19203549
#SPJ4
- 2/5 (x + 3) = 8 solve for x help meee
Find the equation of the tangent plane to the surface z=1x2+4xy?6y2 at the point (4, -4, -144).
z =
The equation of the tangent plane to the surface at the point (4, -4, -144) is -8x + 64y - z - 256 = 0.
To find the equation of the tangent plane to the surface at the point (4, -4, -144), we need to find the partial derivatives of z with respect to x and y at that point:
∂z/∂x = 2x + 4y
∂z/∂y = 4x - 12y
Substituting x=4 and y=-4 into these expressions, we get:
∂z/∂x = 2(4) + 4(-4) = -8
∂z/∂y = 4(4) - 12(-4) = 64
So the normal vector to the tangent plane at the point (4, -4, -144) is <∂z/∂x, ∂z/∂y, -1> = <-8, 64, -1>. Therefore, the equation of the tangent plane is:
-8(x - 4) + 64(y + 4) - (z + 144) = 0
Simplifying this equation, we get:
-8x + 64y - z - 256 = 0
So the equation of the tangent plane to the surface at the point (4, -4, -144) is -8x + 64y - z - 256 = 0.
Learn more about tangent here:
https://brainly.com/question/27021216
#SPJ11
In the geometric sequence: 5, a, b, c, d, 160, find the value of d
Answer:
2
Step-by-step explanation:
a_1 = 5
a_6 = 160
a_5 = a_1 * q^5
160 = 5q^5
32 = q^5
q = 2
In geometric sequence it is common to use q instead of d. D is used commonly in arithmetic sequence.
Answer:
d = 80
Step-by-step explanation:
The nth term of a geometric sequence is
\(a_{n}\) = a₁ \((r)^{n-1}\)
where a₁ is the first term and r the common ratio
Here a₁ = 5 and a₆ = 160 , then
5 × \(r^{5}\) = 160 ( divide both sides by 5 )
\(r^{5}\) = 32 ( take 5th root of both sides )
r = \(\sqrt[5]{32}\) = 2
Now d is the 5th term , so
a₅ = d = 5 × \(2^{4}\) = 5 × 16 = 80
Using suitable identity, find the value of 87^3+ 13^3/
87^2 −87 ×13 + 13^2
The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.
We will first calculate the numerator:
As (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :
\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))
= 100(\(87^2\) - 87 * 13 + \(13^2\))
Now, calculate the denominator:
\(87^2 - 87 * 13 + 13^2\)
As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):
\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)
\(= 74^2\)
So by solving the equation further:
\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)
As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:
\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)
So, the value of the given expression is 100.
To know more about the expression:-
https://brainly.com/question/14083225
In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°, what is the value of x? 29 31 34 59
In triangle def, if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x + 8)°, then the value of x is 29.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Triangle is DEF
if m∠d is (2x)°, m∠e is (3x − 2)°, and m∠f is (x 8)°
We need to find the value of x.
We know that the sum of three angles of triangle is 180 degrees
m∠d + m∠e + m∠f=180°
2x+3x-2+x+8= 180°
6x+6=180
Subtract 6 on both sides
6x=174
Divide by 6 on both sides.
x=174/6
x=29
Hence, the value of x is 29.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
How.to find area of parallelogram with missing height?
What is the value of this expression? Select all that apply (8.59 x 10^4) - (3.2 x 10^3)
Answer:
A. 8.27*10^4
D. 82,700
Step-by-step explanation:
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ4