Answer:
$80.64
Step-by-step explanation:
Time = 4
Rate = 3
Principal Amount = 672
Using the Simple Interest formula:
SI = \(\frac{P*R*T}{100}\) where
P -> Principal Amount,
R -> Rate, and
T -> Time
Substituting the given values into the formula:
SI =
\(\frac{672*3*4}{100}\\\\= \frac{8064}{100}\\\\= $80.64\\\)
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
write even number between 10 and 20
Dillon read 1/5 of a book on Monday and 2/5 of the book on Tuesday. What fraction of the book did he read on Monday and Tuesday?
Answer:
Fraction of Book Dillon Read on Monday and Tuesday is \(\mathbf{\frac{3}{5} }\)
Step-by-step explanation:
Dillon read book on Monday = \(\frac{1}{5}\)
Dillon read book on Tuesday = \(\frac{2}{5}\)
We need to find fraction of the book did he read on Monday and Tuesday
So, Fraction of Book Dillon Read on Monday and Tuesday= Book read on Monday + Book read on Tuesday
Fraction of Book Dillon Read on Monday and Tuesday= \(\frac{1}{5}+\frac{2}{5}\)
\(=\frac{1+2}{5} \ (Taking \ LCM \ of \ 5 \ and \ 5 \ we \ get \ 5) \\=\frac{3}{5}\)
So, Fraction of Book Dillon Read on Monday and Tuesday is \(\mathbf{\frac{3}{5} }\)
Calculate the distinct permutation of the word "Math"
Letters are
MATHNo repetitions
n=4Distinct permutation:-
n!4!4×3×2×124What is the derivative of 4x^2
Derivative of 4x^2 is 8x .
Given function 4x^2
Let,
f(y) = 4x^2
Then dy/dx,
Using the derivative formula, x^n = nx^n-1
d(4x^2) / dx
d(4x^2) / dx = 8x
Hence dy/dx is 8x.
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What happens to the value of the expression 35 + kas k decreases?
Choose 1 answer:
A
It increases.
B
It decreases.
It stays the same.
Answer:
a i think
Step-by-step explanation:
Answer:
(B) It decreases
Step-by-step explanation:
I figured this out with basic logic, but we can use proof to find it out.
If we have \(35+k\), we can assume that k is around 10.
So \(35+10=45\).
Now let's decrease k by 1, making k=9.
\(35+9=44\)
We can see that the value is decreasing, but let's try one more.
Let's make k=8.
\(35+8=43\)
So we can see the general pattern here is that it's decreasing.
Hope this helped!
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
HELP!
Do units affect significant figures? For example, I know that the number 5600 has two significant figures. But if I wrote it as 5600 L, would the unit "L" count as a sig fig? Please help me!!
I NEED THIS NOW! PLZ HELP! 1ST GETS BRAINLIEST! PLZ USE THE 3-READ PROTOCOL
manny has 1/2 of a yard of a fabric with which he intends to make bookmarks. each bookmark is made from 1/8 yard of fabric. how many bookmarks can manny make?
tl;dr: Manny can make 4 bookmarks.
Hello!
So, Manny has 1/2 yards of fabric, and it takes 1/8 yards of fabric to make a bookmark.
The total amount of bookmarks Manny can make is 4.
When you do 4 · 1/8, you'll see that it gives you 4/8, or 1/2 simplified. This is all of the yards of fabric Manny has.
The mass of one sample of bacteria, in grams, grows according to the expression 8x + 1 , where x is time in hours from now. Another sample of bacteria grows according to the expression 2x − 5 . How long ago did the two samples have the same mass? What was their mass?
The mass of the sample before one hour is negative 7.
Given that:
Mass of the first sample, m₁ = 8x + 1
Mass of the second sample, m₂ = 2x - 5
In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The number of hours when the mass of the samples is the same. Then we have
m₁ = m₂
8x + 1 = 2x - 5
6x = - 6
x = - 1
The mass of the sample before one hour is calculated as,
m₁ = 8(-1) + 1
m₁ = - 8 + 1
m₁ = - 7
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If GMAT scores for applicants at Oxnard Graduate School of Business are N(500, 50), then the top 5 percent of the applicants would have a score of at least (choose the nearest integer):
If the perimeter of vectangle wall is 360 cm and its breath is 60cm. Find its length and also find the totalt cost of painting the wall if cost of pointing the wall of meter square is 10 Rs. per².
Answer:
Rs. 72
Step-by-step explanation:
We have 2 values here,
Perimeter of the rectangle = 360 cmBreadth of the rectangle (b) = 60 cm.Firstly, we must find the length of the rectangle (l).
So, according to the formula,
Perimeter = 2 (b + l)
360 = 2 (60 + l)
360 = 120 + 2l
360 - 120 = 2l
240 = 2l
120 cm = l
Now, we need to find the area of the rectangular wall & then convert it from cm² to m² as the cost of painting is given in m².
So,
Area = lb
Area = 120 × 60
Area = 7,200 cm²
Let's convert it to m² now,
7200/1000
= 7.2 m²
Given, cost of painting per m² = Rs. 10
So, the cost of painting the wall is,
10 × 7.2
= Rs. 72
________________________________
Hope it helps!
\(\mathfrak{Lucazz}\)
compare: These two equations
Using translation concepts, we have that:
Function f(x) underwent a reflection over the y-axis.Function g(x) underwent a reflection over the x-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.
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Please help, thanks!
The following is data for the first and second Quiz scores for 8 students in a class.
First Quiz Second Quiz
14
16
29
42
43
44
47
48
11
17
31
35
37
37
38
43
Plot the points in the grid below, then sketch a line that best fits the data.
50+
45
40-
35
30
25
20
15
10-
5+
Clear All Draw:
5 10 15 20 25 30 35 40 45 SC
YAY
The equation of the line of best fit is ŷ = 0.8x + 3.3
How to determine the equation of the line of best fitFrom the question, we have the following parameters that can be used in our computation:
X- 14 16 29 42 43 44 47 48
Y- 11 17 31 35 37 37 38 43
When these values are entered in a graphing calculator, we have the following summary:
Sum of X = 283Sum of Y = 249Mean X = 35.375Mean Y = 31.125Sum of squares (SSX) = 1343.875Sum of products (SP) = 1055.625For the regression equation, we have
ŷ = bX + a
Where
b = SP/SSX = 1055.63/1343.88 = 0.78551
a = MY - bMX = 31.13 - (0.79*35.38) = 3.33764
So, we have
ŷ = 0.78551x + 3.33764
Approximate
ŷ = 0.8x + 3.3
Hence, the equation is ŷ = 0.8x + 3.3
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WEIG
The scale on a map states that 2 cm = 15 km. If two cities are 85
kilometers apart in real life, how far apart would they be on the
map?
Answer:
5.66666666667
Step-by-step explanation:
85÷15=5.66666666667
Answer:
11.22cm
Step-by-step explanation:
2cm=15km
0.66km= 5km(17)
11.22cm= 85km
please give me a brainliest!!<3
Help me what is X/5-3/7
Answer:
15/7 or 2.142
Step-by-step explanation:
x=3/7×5
x=15/7
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
1364.67cm^2
Step-by-step explanation:
a=1/2(17.7)*(25.7*6)
a=8.85*(25.7*6)
a=8.85*154.2
a=1364.67
Fill in the blank with the value that makes the
number sentence true:
36 +27= 88 - O
The number 25 is the value at which the number sentence is true. An enumerated (numbered) list can be presented in sentence form in a variety of ways.
How should numbered sentences be written?An enumerated (numbered) list can be presented in sentence form in a variety of ways. The number (not the number word) can be placed in parentheses in the following manner: I listed the following three causes: Here is my first justification, this is my second justification, and this is my third justification. A number sentence compares two numerical expressions and states their equivalence (or inequality).
Let the value be x
now 36 + 27 = 88 - x
36 + 27 = 88 - x
63 = 88 - x
x = 88 - 63
x = 25
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The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)Given that Triangle ACE - Triangle IKS, find the value of y.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore we have,
\(\frac{EC}{KS}=\frac{AC}{IK}\)Substituting the values, we have,
\(\begin{gathered} \frac{12}{4}=\frac{y}{3.2} \\ 3=\frac{y}{3.2} \\ y=9.6 \end{gathered}\)Thus, the value of y is 9.6
e
B
0
14. The table shows the number of inches of
rain over five months. What would be an
appropriate display of the data? Explain.
(Lesson 2)
Month
Number
of Inches
of Rain
Jan. Feb. Mar.
1.5
2.2
3.6
Apr.
5.3
May
4.8
The graph of the given function is attached.
Given is a function for the rainfall in 5 months in inches.
We need to display the data,
So, as we can see that the data is not showing any proportion or pattern,
So, it can be displayed as a line chart.
Hence the chart is attached for the function.
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Solve inequality in interval notation Y^2>-5y-9
what is the solution for x in the equation
-2x+14+10x=34
A. x=6
B. x=1/8
C. x=5/2
D. x=2/5
Answer:
C. x=5/2
Step-by-step explanation:
-2x+10x=34-14
(8x=20 ) /:8
x=5/2
1. Find the equation of the image of the circle x² + y2 + 16x-24y + 183 = 0 by rotated the line mirror 4x + 7y + 13 = 0. 2. The image of the circle (x - 3)² + (y-2)² = 1 in the line mirror ax + by = 19 is (x-1)³ + (y-16)2 = 1 then, find the values of (a, b). 3. Find the equation of a line passing through the origin and making an angle with the 4 line y-3x-5. 4. A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y²-12x - 4y + 4 = 0. The n find equation of the parabola. 5. If the line ax + by + c = 0 touches the circle x² + y² - 2x = and is normal to the circle x² + y² + 2x - 4y + 1 = 0, then find the value of (a, b). 6. If the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. -3 7.1² 14 231= [] then find the matrix A 8. Find the equation of the ellipse having its center at the point (2,-3), one and one vertex at (4, -3). 3 9. Find the value of x if-1 0 10. Solve the linear system using Cramer's rule a) 2 1 2 4 (6x - 4y = -12 8x - 3y = -2 X = 16 -21 3x + 2y = z = 5 b) x-y+3z = -15 (2x + y +7z = -28 one focus at (3,-3) 11. Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5 ((k+1)x + 9y = 8k - 1
Answer:
-72x - 53y + 287 = 0.
Step-by-step explanation:
To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.
The line mirror equation is given as 4x + 7y + 13 = 0.
The reflection of a point (x, y) in the line mirror can be found using the formula:
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
where A, B, and C are the coefficients of the line mirror equation.
For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.
Now, let's find the equations of the image of the circle.
The original circle equation is x² + y² + 16x - 24y + 183 = 0.
Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)
= (x - 8y - 8(4x + 7y + 13)) / 65
= (x - 8y - 32x - 56y - 104) / 65
= (-31x - 64y - 104) / 65
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)
= (y - 14x + 8(Ax + By + C)) / 65
= (y - 14x + 8(4x + 7y + 13)) / 65
= (57x + 35y + 104) / 65
Therefore, the equation of the image of the circle is:
(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0
Simplifying the equation, we get:
-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0
-72x - 53y + 287 = 0
So, the equation of the image of the circle is -72x - 53y + 287 = 0.
A doctor assigns people to treatment groups based on data from their medical records. Is this method of selecting treatment groups biased or unbiased?
9514 1404 393
Answer:
biased
Step-by-step explanation:
Any time a selection criterion is used that is other than a random draw, the selection is biased.
For a medical study, the bias may be intentional. The study may have the purpose of determining treatment efficacy based on age, gender, or previous medical history.
The world's first train could travel 28 kilometers in 3.5 hours.
How fast could the train go?
Answer:
The train was travelling at 8 km/h.
Step-by-step explanation:
28 km in 3.5 hours
Divide both sides by 3.5 : 8 km in 1 hour = 8 km/h
it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby
Answer: I think that the answer is 3/4 miles
Step-by-step explanation:
Find four consecutive integers whose sum is 82
Answer:
19, 20, 21, and 22
Step-by-step explanation:
19+20+21+22 = 82
Which statement describes a key feature of function g if g(x) = f(x + 4)?
OA y-intercept at (0,4)
OB. x-intercept at (4,0)
OC. horizontal asymptote of y = 0
OD. horizontal asymptote of y = 4
The statement that describes a key feature of function g if g(x) = f(x + 4) is C. horizontal asymptote of y = 0.
What is a function?It should be noted that a function is an expression that shows the relationship between the variables.
In this case, the statement that describes a key feature of function g if g(x) = f(x + 4) is that the horizontal asymptote of y = 0.
The horizontal asymptote is vital for guiding the variables
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