Answer:
20
Step-by-step explanation:
I think it’s 20... my math brain is not cooperating with me much right now
a food server at harpers restaurant earns 5 dollars plus a 15% tip on the money made on each table he serves. Sam worked as a food server for six hours last friday and his tables earned $600. How much money did Sam make that day?
Answer:
The answer is given in the picture
Step-by-step explanation:
Do you remember me calista
I am alvena
Answer:
$70
Step-by-step explanation:
$5 x 6 hours = $30
$600 ÷ 15% = $40
$30 + $40 = $70
Please help answer my question
Answer:
x = 6
Step-by-step explanation:
This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:
(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²
From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.
3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²
3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²
Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:
8x - 20 = 5x - 2
Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.
8x - 20 = 5x - 2
8x - 20 - 5x = 5x - 2 - 5x
3x - 20 = -2
3x - 20 + 20 = -2 + 20
3x = 18
3x/3 = 18/3
x = 6
Hopefully that's helpful! Let me know if you need more help. :)
Please help I am so lost thank you so much
The speed of the plane is equal to 120 mph.
What is speed?In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).
Mathematically, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
Time = distance/speed
Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;
240/s = 80/s - 80
80s = 240s - 19200
19200 = 160s
s = 19200/160
s = 120 mph.
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Use implicit differentiation to find an equation of the tangent line to the curve
sin(x+y)=4x−4y at the point (π,π)
Answer:
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
Step-by-step explanation:
o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:
Differentiate both sides of the equation with respect to x:
cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx
Simplify by grouping the terms with dy/dx on one side and the rest on the other side:
cos(x+y) * (1 + dy/dx) + 4dy/dx = 4
Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):
cos(2π) * (1 + dy/dx) + 4dy/dx = 4
Simplify:
-5dy/dx = 4 - cos(2π)
dy/dx = -4/5
Use the point-slope form of the equation of a line to write the equation of the tangent line:
y - π = (-4/5)(x - π)
Simplify:
y = (-4/5)x + (8/5) + π
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
what is m CDJ?
please help me I'm super confused.
Answer:
34 degrees.
Step-by-step explanation:
Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.
Drop the parentheses and get 7x - 8 = 90.
Add 8 to both sides 7x = 98.
Divide both sides by 7, x = 14.
Plug that x value into (3x-8), [3(14)-8] = 34 degrees.
Answer:
34 degrees
Step-by-step explanation:
So, because mJDK and mJDA lie on a line, they must be supplementary, and since mJDK is 90 degrees, mJDA must be too. So, you know that the combination of mADC and mCDJ must be 90 degrees. 4x+3x-8=90 simplified is 7x=98, which says that x is equal to 14. So you plug in the values for 3x-8, and voila! mCDJ is 34!
I need help with this
5. Rebecca is 6 years older than three times Andrew's age. The sum of their ages is 18. How old is Rebecca?
Answer:
Rebecca is 18
Step-by-step explanation:
18/6-3=0
vertex(-3,3) domain and range
the range of the function is all real numbers greater than or equal to the y-coordinate of the vertex, which is 3.As for the domain, the function is defined for all real numbers, so the domain is also all real numbers.
what is domain ?
In mathematics, the domain of a function is the set of all possible input values (often referred to as the independent variable) for which the function is defined. In other words, it is the set of all values that can be plugged into a function to produce a valid output.
In the given question,
The vertex form of a quadratic equation is given by:
y = a(x - h)² + k
where (h,k) is the vertex of the parabola.
In this case, the vertex is (-3,3), so we have:
y = a(x + 3)² + 3
To determine the domain and range of this function, we need to consider the behavior of the parabola.
Since the coefficient a is positive, the parabola opens upwards, and the vertex is a minimum point. This means that the range of the function is all real numbers greater than or equal to the y-coordinate of the vertex, which is 3.
As for the domain, the function is defined for all real numbers, so the domain is also all real numbers.
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Maria is studying the phenomenon of pyramid power. She has read that items placed inside pyramids show amazing properties. Maria is going to see if the pyramid phenomenon will work on her young plants. She will construct an all-glass pyramid as shown.
The pyramid is regular with a square base, and all eight edges are the same length. From the possible solutions below, which amount is the closest estimate of the amount of glass Maria will need to construct her pyramid?
a) 1935 cm squared
b) 3353 cm squared
c) 5289.25 cm squared
d) 8642.5 cm squared
The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.
How to calculate the area of a square based pyramid?To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:
\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)
Where:
a= 44cm
height= 44²-22²= 38.1cm
Area= 44²+ 2(44) × √44²/4 + 38.1²
= 1936+88 × √ 484+1452
= 2024× √1936
= 5807.61 cm².
Therefore the closest estimate to the final answer would be 5289.25 cm squared
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Perform the following series of rigid transformations on ∆ABC: Translate ∆ABC by moving it 5 units to the right and 2 units up. Draw the line y = -x, and reflect ∆A'B'C' across the line. Rotate ∆A''B''C'' counterclockwise about the origin by 270°.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is translated a units right and b units up, the new point is at A'(x + a, y + b).
If a point A(x, y) is reflected across the line y = -x, the new point is at A'(-y, -x).
If a point A(x, y) is rotated counterclockwise by 270 degrees, the new point is at A'(y, -x).
Let us assume that triangle ABC has vertices at A(-6, -1), B(-3, -3) and C(-1, -2).
If it is moved 5 units to the right and 2 units up, the new point is at A'(-1, 1), B'(1, -1) and C'(3, 0). If it is reflected across the line y = -x, the vertices are at A"(-1, 1), B"(1, -1) and C"(0, -3). If it is then rotated counterclockwise about the origin by 270°, the new point is at A'"(-1, -1), B"'(1, 1), C"'(3, 0)
2/3x=1/3 whats the awnser
Answer:
1/2
Step-by-step explanation:
I think so im not sure tho so sorry if its incorrect
Answer: x=1/2 is going to be your answer for this problem.
A cricketer's average in his first 20 innings was 15 runs per innings. After a further 10 innings, his average had increased to 17 runs per innings. What was his average for the last 10 innings?
The cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).
The average for the last 10 innings, we need to follow these steps:
Calculate the total runs scored in the first 20 innings. Total runs scored = Average * Number of innings = 15 * 20 = 300
Calculate the total runs scored in the next 10 innings. Total runs scored = Average * Number of innings = 17 * 10 = 170
Calculate the total runs scored in all 30 innings. Total runs scored = 300 + 170 = 47
Calculate the average for all 30 innings. Average = Total runs scored / Number of innings = 470 / 30 = 15.6
Calculate the total runs scored in the last 10 innings. Total runs scored = Average * Number of innings = 15.67 * 10 = 156.7 (approx.)
Calculate the average for the last 10 innings. Average = Total runs scored / Number of innings = 156.7 / 10 = 15.67
Therefore, the cricketer's average for the last 10 innings was 15.67 runs per innings (approx.).
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Give a recursive definition for the following set of ordered pairs of positive integers (\(a|b\) means that a is a factor of b): \(S=\){\((a,b)|a \in Z^+, b \in Z^+, a|b\)}
A recursive definition for the set S can be given as follows:
What is recursion?
Recursion is a programming technique where a function calls itself to solve a problem.
Base case: (1, n) is in S for all positive integers n, since 1 is a factor of all positive integers.
Recursive case: If (a, b) is in S, then (a', b) is in S for all positive integers a' that are factors of a, and (a, b') is in S for all positive integers b' that are multiples of b.
In other words, the set S contains all pairs (a,b) where a is a positive integer that divides b, and b can be obtained by multiplying any such a with another positive integer. The base case includes all pairs where a=1 and b is any positive integer.
The recursive case states that if (a,b) is in S, then all pairs where a' is a factor of a and b is a positive integer such that b=a'b are also in S, as well as all pairs where b' is a multiple of b and a is a positive integer that divides b'.
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I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = \(\frac{8-(-3)}{6-(-5)}\) = \(\frac{8+3}{6+5}\) = \(\frac{11}{11}\) = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = \(\frac{4-3}{-1-0}\) = \(\frac{1}{-1}\) = - 1
.
Solve using traditional division: 3,385 31.
109 R6
1009
108 R 37
109
Answer:
109r6
Step-by-step explanationi got it
8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+
Answer:
a) -x2 , -(x2)
b)3x-7 , (3x) - 7
c) -2x+8 , -(2x-8)
find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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The equation of the line is
Answer:
y = -x +3
Step-by-step explanation:
You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
For the given equations, we can put them in this form to find the desired parameters.
-3y = -9 +3x
y = -x +3 . . . . . . . . . . divide both sides by -3
We observe that the y-intercept is +3, which we will need for our answer.
The slope-intercept form of the second equation is ...
-2x -2y = -8
x + y = 4 . . . . . . . . . . divide by -2
y = -x +4 . . . . . . . . . . subtract x
We observe that the slope (coefficient of x) is -1, which we will need for our answer.
Desired equationWe want the equation of the line with slope -1 and y-intercept 3. It is ...
y = -x +3 . . . . . . . . . . same as the equation of the first line
__
Additional comment
The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)
X
y
m =
-6
-22
-2
-17
b =
2
-2
6
8
Equation:
10
18
What is the answer
Answer:
Step-by-step explanation:
your answers for 1. would be B. and E. and number 2 doesnt
have a table sorry
find the surface area of the cube with 7 inches sides
Answer:
294
Step-by-step explanation:
surface area of a cube = 6* a^2
6 * 7^2
= 6* 49
= 294
Penny paid off a loan with a simple interest rate of 11% in 6 months. What was the APR?
Answer:
The solution is Option C.
The annual percentage rate of Penny is 22.4 %
Step-by-step explanation:
Find the domain and range for the function
f(x)={3x−1/2,4−12x,if x≤2,if x>2.
The domain and the range of the piece-wise function are given as follows:
Domain: all real values.Range: (-∞, 4].How to obtain the domain and the range of the function?The domain of a function is composed by the set that contains all possible input values of the function.
In this problem, the function is a piece-wise function, as it has two different definitions. However, for each definition, the function is a linear function, which has no input restrictions, hence the domain of the function is composed by all real values.
The range of a function is composed by the set that contains all possible output values of the function.
The outputs of the function are obtained as follows:
To the left of x = 2: increasing line, the greatest value is of -6.To the right of x = 2: decreasing line, the greatest value is of 4.Linear functions have no open spaces on it's domain, hence the interval that describes the range is given by:
(-∞, 4].
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brainliest for answer
4/15 !! hope it helps loll
d) Suppose you begin making a monthly payment of $75.00. Fill in the table.
Month Current balance
1
2
3
4
5
6
7
8
9
10
11
12
WYPIE
$2750.00
Interest
$45.38
Payment
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
$75.00
Amount applied to principal
$29.62
Answer:
Step-by-step explanation:
Answer:
For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.
For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.
Point of view:
Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!
:)
what is the probability that either event will occur?
The probability that either event will occur is P ( C ) = 0.89
Given data ,
Let the probability that either event will occur be P ( C )
P ( A ) = 20/36
P ( B ) = 12/36
where P ( A or B ) = P ( C )
P ( C ) = P ( A ) + P ( B )
P ( C ) = 32/36
P ( C ) = 0.88888
Hence , the probability is P ( C ) = 0.89
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Tina walked her dog 12 blocks. This is twice the number of blocks she walked yesterday. How far did Tina walk her dog yesterday?
Answer: Hello, your Answer is Below ^^
Your Answer Is 6
Step-by-step explanation:
I Got the answer 6 Because 6 x 2 = 12
Tina Walked 12 blocks and Half of 12 Is 6
Hope this helps you!
Have a great Day!
~Rainbow~
Answer:
the correct answer is 6
Step-by-step explanation:
since twice = 2 you'll need to do 12 divided by 2
which is equal to 6.
or you can simply just think what number is twice in 12.
Please help!
what is the answer to this question?
Answer:
The clue to find 'x' is-
As both, the lines here are intersecting at a point to form VERTICALLY OPPOSITE ANGLES.According to this theory (2x+20)=60
So, (2x+20)=60
= 2x=60-20
= 2x= 40
= x=40/2
= x=20 degrees
Help please!!
The triangles are similar by:
the SAS similarity theorem.
the ASA similarity theorem.
the AA similarity postulate.
None of the choices are correct.
the SSS similarity theorem.
Please help me ? Please
Answer:
Step-by-step explanation:
Which tables give sets of values that satisfy the linear function y = 2x – 6