Answer:
The interest for the two years is Rs 51.
Step-by-step explanation:
Rate, R = 4 %
Compound interest for 1 year = Rs 25
Let the sum is P.
For first year,
[tex]A = P \left ( 1+\frac{R}{100} \right )^1\\\\A = P(1+0.04)\\\\A - P = 0.04 P\\\\0.04 P = 25\\\\P= Rs625[/tex]
For 2 year
[tex]A = P \left ( 1+\frac{R}{100} \right )^2\\\\A = 625(1+0.04)^2\\\\A = 676\\[/tex]
Interest is
Interest = Rs 676 - Rs 625 = Rs 51
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
Answer:
Wavelength varies inversely with frequency.
Step-by-step explanation:
Wavelength varies inversely with frequency.
[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]
Where
k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.
Which is the best estimate for 6.3×10 to the second power times 9.9×10 to the 3rd power written in scientific notation
Answer:
in scientific notation, the expression can be written as 6.237 x 10⁶
Step-by-step explanation:
Given;
6.3×10 to the second power times 9.9×10 to the 3rd power
Using scientific notation, it can be interpreted as;
[tex](6.3 \times 10^2) \times (9.9 \times 10^3)[/tex]
This can be simplified as;
[tex](6.3 \times 10^2) \times (9.9 \times 10^3) = (6.3\times 9.9)\times 10^{2+3}\\\\= 62.37\times 10^5 = 6.237\times 10^6[/tex]
Therefore, in scientific notation, the expression can be written as 6.237 x 10⁶
PLEEEEEAAASE ASAP!
a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.
b) Describe the type of correlation between the two variables on your graph. How do you know?
c) Does the correlation between the variables imply causation? Explain.
d) How do you calculate the residuals for a scatterplot?
e) Calculate the residuals for your scatterplot in step 2d.
f) Create a residual plot for your data.
g) Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
Graph&data are attached
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data showing the relationship between GPA and hours of study :
From the regression model given :
Regression equation is:
y = 0.141x + 1.096
Also, the regression Coefficient, R = 0.957
a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.
From the regression equation, we can infer if the relationship or correlation between the two variables is positive or negative from the value of the slope, a positive slope Value means a positive relationship while a negative slope value means a negative relationship.
The Correlation Coefficient, R also gives the strength of relationship, with values close to - 1 or 1 depicting a strong relationship while positive and negative R values also depictava positive or negative relationship.
Here there is a strong positive relationship between GPA and Hours.
Correlation does not imply causation. Correlation only shows the type of relationship between variables and it does not mean that high GPA values are causes by long hours of study and vice versa.
The sum of 36 and three times a number is 18 find the number
Answer:
x = -6
Step-by-step explanation:
sum means +
36 + 3x = 18
3x = 18 - 36
3x = -18
x = -6
Answer:
Step-by-step explanation:
36 + 3x = 18
subtract 36 from both sides
3x= -18
divide by 3
x = -6
If a plane can travel 510 miles per hour with the wind and 410 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
Answer:
Below.
Step-by-step explanation:
Ok so, Since its 510 - x = 410. Speeds equals the wind.
SO?
100=2x
x=50
410+50 = 460!
Giải phương trình:
Sin^4 x - cos^4 x =1/2
Step-by-step explanation:
...........MaRk As BrAiNeSt
Hello,
[tex]cos^4(x)=(cos^2(x))^2=(1-sin^2(x))^2=1+sin^4(x)-2*sin^2(x)\\\\sin^4(x)-(1+sin^4(x)-2sin^2(x))=\dfrac{1}{2} \\\\1-2sin^2(x)=\dfrac{1}{2} \\\\\\sin^2(x)=\dfrac{1}{4} \\\\sin(x)=\dfrac{1}{2} \ or\ sin(x)=-\dfrac{1}{2} \\\\\\modulo\ 2\pi: \\\\x=\dfrac{\pi}{6}\ or\ x=\dfrac{5*\pi}{6}\ or\ x=-\dfrac{\pi}{6}\ or\ x=-\dfrac{5*\pi}{6}[/tex]
charlie drove 208 miles in 4 hours at a constant speed He continues at that speed give the equation that shows the relationships between driving hours and mies driven
Answer:
M = 52* H
"miles equals 52 times hours driven"
Step-by-step explanation:
I need help with my math!!!!!!!
Answer:
B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C
need help please! asap
don't cheat its bad that u are asking answers for your test
Help and explain !!!!
Answer:
x = 3
Step-by-step explanation:
f(x) means function of x, and could be replaced by y to just give a y = mx + b equation. So if f(x) = y = 11, you're pretty much solving for x with the equation
11 = 3x + 2
From there, isolate x, and you have your answer.
11 = 3x + 2
9 = 3x
x = 3
Which shows the correct solution of the equation + so, when 6-30?
Answer:
-24
Step-by-step explanation:
rest 6 minus 30 and it give you -24
Please help!!-- What is the measure of arc AT in the circle O below?
Answer:
97
Step-by-step explanation:
Arc AT = angle at the center 97°
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application
For the diagram below, which equation is the correct use of the distance formula?
Answer:
D
Step-by-step explanation:
You are selecting meals for a school event and you are planning on at least 240 students at this event. The chicken meal will cost $5 and the beef meal will cost $8 per serving. Your total budget is $1200.00. Select a system of linear inequalities that shows the various numbers of Chicken and Beef meals you can prepare. Let x = number of chicken meals and let y = number of beef meals.
Answer:
x + y ≥ 240
5x + 8y ≤ 1200
Step-by-step explanation:
Assume;
Number of chicken meals = x
Number of Beef meals = y
Total budget = $1200
Find:
Inequality
Computation:
Number of chicken meals + Number of Beef meals ≥ Total students
x + y ≥ 240
Total cost = (Number of chicken meals)(Cost of chicken meal) + (Number of Beef meals)(Cost of beaf meal)
5x + 8y ≤ 1200
someone help me please with this algebra homework
Answer:
the 4th option
Step-by-step explanation:
the 4th one
Answer:
D. 2.99x + 12.99y = 43.92
Step-by-step explanation:
1 pair of socks costs $2.99
x pairs of socks cost 2.99x
1 blouse costs $12.99
y blouses cost 12.99y
The total cost is the sum of the two costs
2.99x + 12.99y
We are told the total cost is $43.92
2.99x + 12.99y = 43.92
Answer: D. 2.99x + 12.99y = 43.92
What are the units of the area of the figure?
C5
millimeters
4 mm
cubic millimeters
square centimeters
O square millimeters
6 mm
Answer:
the answer is square millimeters
f(x)=2x+3/4x+5 find f(-9)
pls solve it
Answer:
15/31
Step-by-step explanation:
substitute -9 were there's x in the function
f(-9)=2(-9)+3/4(-9)+5
=-18+3/-36+5
=-15/-31
the negatives cancel giving you
15/31
Find p(5) for p(x) = 80x2 - 15 by using the remainder theorem.
O 1985
O 2015
O-1985
O 2030
BRAINLIEST FOR EXPLANATION (my own question)
SO when you have a point on a graph, say it's at (-3,7), and you have to graph the dot after a rotation of 90 degrees counterclockwise around the origin, how would you know what to do?
So I know it is (x,y)--> (-y,x), but having the dot as (-7,3) wouldn't work if you followed that equation. Am I doing it right? If not, how would you apply that 'equation' to (-3,7)?
Answer:
(-7, -3)
Step-by-step explanation:
So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.
To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.
x-coordinate is -3 & y-coordinate is 7
Then you literally just substitute it into the formula like so:
(-y, x) -->(-(7), (-3)) --> (-7, -3)
Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.
Hope it helps and good luck (●'◡'●)
Answer:
(-7,-3)
Step-by-step explanation:
You could read (x,y)->(-y,x) as if I have the point (x,y), the image point is (opposite of y,x).
So shorthand the rule is just saying
(x,y)->(opposite of y, x)
(-3,7)->(-7,-3)
A few more examples:
(5,7)->(-7,5)
(-5,7)->(-7,-5)
(-5,-7)->(7-,5)
(5,-7)->(7,5)
This whole explanation comes down to reading-u as opposite of u.
Opposite just means to change the sign.
Another way to read -u is -1×u.
Example:
Q: evaluate -u if u=8
A: -8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×8=-8 or the opposite or 8 is -8.
Example:
Q: evaluate -u if u=-8
A: 8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×-8=8 or the opposite or -8 is 8.
what is the volume of the square pyramid? answer i need this done for my geometry credit thank you
Answer: 171.5
Step-by-step explanation:
1/2 x 7 x 7 x7 = 171.5 cm3
Answer:
[tex]volume=1/3(area ~of ~base) \times( height)[/tex]
[tex]v=1/3(7\times7)\times7[/tex]
[tex]v=343/3[/tex]
[tex]v=114[/tex]
-----------------------
hope it helps...
have a great day!!
Is the following shape a rectangle? How do you know?
Answer: The Answer is A
Step-by-step explanation:
Which sentence represents the inequality -2b + 7 > 27.5?
A)Two times a number, plus seven, is less than twenty-seven and five tenths.
B)Two times a number, plus seven, is greater than twenty-seven and five tenths.
C)Negative two times a number, plus seven, is fewer than twenty-seven and five tenths.
D)Negative two times a number, plus seven, is greater than twenty-seven and five tenths. (Worth 10 points)
Answer:
C , negative two times a number, plus seven , is fewer than twenty-seven and five tenths
Answer:
D
Step-by-step explanation:
I got it right on edge
n a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?
Answer:
The number of correct answers is 28
Step-by-step explanation:
The value of a correct answer = +3
The value of a wrong answer = -1
The number of questions Ramesh answered = All the questions
The number of mistakes in the question = 5,
Let x represent the number of correct answers therefore, we get;
+3 × x + (-1) × 5 = 79
∴ x = (79 - (-1) × 5)/+3 = 28
The number of correct answers, x = 28
Can someone help me with this math homework please!
Answer:
1st option.
0 to 100 miles per hour
Step-by-step explanation:
as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.
Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.
out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).
so the domain is
0 to 100 miles per hour.
Answer:
(A) 0 to 100 miles per hour
Step-by-step explanation:
The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.
The only answer that is related to the speed is the first answer choice.
Hope that helps (●'◡'●)
What is the measure of UV?
A. 38°
B. 42°
C. 46°
D. 84°
Answer:
D. 84°
Step-by-step explanation:
I'm correct if I'm rwong
The measure of UV will be similar to the measure of XY. Then the measure of UV is 46°, then the correct option is C.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The measure of UV will be similar to the measure of XY.
UV = XY
UV = 46°
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
please help answer these!!!!
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 400C each month. His data contained -
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 400C.
2) Find the median for his data set of days that had a temperature above 400C.
3) Find the mode for his data set of days that had a temperature above 400C.
4) If, instead, there are 5 more days per month that had a temperature above 400C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 400C, what will be the mode for the data?
Answer:
1) 11.75
2) 11.5
3) 11 and 14
4) 16.75
5) 13, and 16
Step-by-step explanation:
The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8
1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75
2) The data arranged in increasing order is presented as follows;
8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14
The count of he data points = 12
The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12 11)/2 = 11.5
The median = 11.5
3) The mode of the data set are 11 and 14
4) Where there are 5 more days per month that had a temperature above 40°C, we get;
The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5
5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;
8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2
10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16
Therefore, the mode are 13, and 16
15 POINTS AND BRANLIEST!!!
X = ?
Answer:
x = 7
Step-by-step explanation:
The 2 angles are Alternate exterior angles and are congruent, so
2x - 3 = x + 4 ( subtract x from both sides )
x - 3 = 4 ( add 3 to both sides )
x = 7
For the lines to be parallel, then x = 7
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
49.6°Step-by-step explanation:
tangent = opposite / adjacenttan x = 40/34x = arctan (40/34)x ≈ 49.6°Step-by-step explanation:
[tex] \rm{tangent \: = \: opposite \:/ adjacent} \\ \rm{tan \: x \: = \: 40 \:/ 34} \\ \rm \: x \: = arctan \: (40 \:/ 34) \\ \: \rm {x \: = \boxed{49. \: 60°}}[/tex]
Estimate the difference 5,290-436
Answer:
it will be
=> 4854
Step-by-step explanation:
hope it's helpful for you xd
