The time it would take for Rudy to have the same number of each punch card is 1 week.
The number of punches on each card Rudy would have is 8 punches.
How long will it take to have the same number of punches on each card?The equation that represents the number of punches on the tea punch card is: 1 + 7t
The equation that represents the number of punches on the coffee punch card is: 2 + 6t
Where t represents the number of weeks
When both cards would have the same amount of punches, the two above equations would be equal:
1 + 7t = 2 + 6t
To find the value of t, take the following steps:
Combine similar terms
7t - 6t = 2 - 1
t = 1 week
What will be the number of punches on each card?
Number of punches on each card = 1 + 7(1) = 8 punches
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How do I find the mean of these numbers
Answer:
add all of them together (x and y’s) the divide the sum by the amt of numbers
Step-by-step explanation:
Answer:
1. 0
2. -2.5
3. 5
4. -2.5
5. -4
Step-by-step explanation:
Did this by adding the scores together and then dividing by the number of scores added
What is the solution to the inequality |2x – 3| > 5?
Answer:
x > 4 or x < -1
Step-by-step explanation:
[tex]2x - 3 > 5[/tex]
[tex]2x > 8[/tex]
[tex]x > 4[/tex]
[tex]2x - 3 < - 5[/tex]
[tex]2x < - 2[/tex]
[tex]x < - 1[/tex]
A can in the shape of a cylinder is filled 75% of the way with liquid. The can has a height of 10 cm and a radius of 2 cm. Please determine following:
Answer:
um..is this finished question ????
A 9 ft. ladder leans against the side of a house. The bottom of the ladder is 6 ft. from the side of the house. How high is the top of the ladder from the ground? If necessary, round your answer to the nearest tenth.
Answer:
15 ft
Step-by-step explanation:
I'm not sure but I think u add them together to get ur answer
hope it helps
Write an equation in slope-intercept form of the line shown.
An equation is
Using the slope intercept formula, the equation for the line in slope intercept form is y = -x - 4
Slope intercept equationThe slope intercept equation can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
(-4, 0)(1, -5)
m = -5 - 0 / 1 + 4 = -5 / 5 = -1
Therefore, let's find b using (1, -5)
-5 = -1(1) + b
-5 = -1 + b
b = -5 + 1
b = -4
Therefore, the equation is y = -x - 4
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
here
Step-by-step explanation:
if you need more explanation comment on this
" Laurent Series "
Expand:
[tex] f(z) = \frac{ {e}^{ {z}^{2} } }{ {z}^{3} } [/tex]
Recall that for all [tex]z\in\Bbb C[/tex],
[tex]\displaystyle e^z = \sum_{n=0}^\infty \frac{z^n}{n!}[/tex]
Then
[tex]\displaystyle \frac{e^{z^2}}{z^3} = \frac1{z^3} \sum_{n=0}^\infty \frac{z^{2n}}{n!} = \boxed{\sum_{n=0}^\infty \frac{z^{2n-3}}{n!}}[/tex]
what is the median of 7,3,4,7,5,6,5,5,4
Your median is 5 because that is the number that is mentioned the most.
A median is a number that i said the most.
And in the pic your median is 7.
Hope this helps you :0
If an arithmetic sequence has a4 = 107 and a8 = 191, what is a₁?
PLEASE HELP ME
[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]
what digit 5 sits in this number 725,069
Answer:
The digit 5 is equal to is 5,000 :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
The thousandth digit!
Step-by-step explanation:
Determine the period
Answer: 8
just guessed it
2/4×5/2
please answer fast
Answer: 10/8 = 1 1/4
Step-by-step explanation:
2x5 =10
4x2 =8
10/8= 1 2/8 = 1 1/4
3.2] I can rearrange formulas to solve for a specified variable.
Solve for r.
h=r-m
Answer:
r = h + m
Step-by-step explanation:
h = r - m
Switch sides.
r - m = h
Add m to both sides.
r - m + m = h + m
Simplify the left side. -m + m = 0
r = h + m
What type of function is shown below?
y=6/19x
Answer:
That is a linear function
Step-by-step explanation:
A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.
If you try to graph that function on a graphing calculator, you will get a straight line.
Therefore, it is a linear function.
mark brainliest please!
Answer:
I think it's a linear one(function)
y=6x÷19
In a line of boys,Peter is the 11th from either side of the line. how many boys are in the line 5pionts because its simple
Answer: 21
Step-by-step explanation:
solve the following inequality
4x+15≥x+6
Answer:
[tex]\boxed{\sf{x\geq -3}}[/tex]Step-by-step explanation:
The following inequality can be solved by separating the term x from one side.
4x+15≥x+6
First, subtract by 15 from both sides.
4x+15-15≥x+6-15
Solve.
4x≥x-9
Then, you subtract by x from both sides.
4x-x≥x-9-x
Solve.
3x≥-9
Divide by 3 from both sides.
3x/3≥-9/3
Solve.
Divide the numbers from left to right.
-9/3=-3
[tex]\Longrightarrow: \boxed{\sf{x\geq -3}}[/tex]
Therefore, the correct answer is x≥-3.I hope this helps, let me know if you have any questions.
Answer:
x ≥ -3
Step-by-step explanation:
To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.
Given inequality:
4x + 15 ≥ x + 6As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.
⇒ 4x + 15 - (x + 15) ≥ x + 6 - (x + 15)⇒ 4x + 15 - x - 15 ≥ x + 6 - x - 15⇒ 3x ≥ -9As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.
⇒ 3x/3 ≥ -9/3⇒ x ≥ -3Therefore, the solution is x ≥ -3.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
24:37
Simplify the ratio by dividing by the GCF, in this case, two.
[tex]\frac{48 / 2}{74 / 2} = \frac{24}{37}~also~known~as~24:37[/tex]
Sanjay is planting a rectangular garden. He wants the length of his garden to be 12 feet. He wants the area to be at least 60 square feet. Which graph best shows all the possible widths, in feet, for his garden?
Answer:
The answer is b
Step-by-step explanation:
Answer: B
I had to help my brother with this
Refer to attachment for question
Answer:
Below!
Step-by-step explanation:
Let the irrational number be known as "x".
[tex]\implies -\sqrt{41} \times x = 1[/tex]
Divide both sides by -√41.
[tex]\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }[/tex]
[tex]\implies x = \dfrac{1}{-\sqrt{41} }[/tex]
Take the "-" to the numerator:
[tex]\implies x = \dfrac{-1}{\sqrt{41} }[/tex]
Use parenthesis to isolate the "-"
[tex]\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}[/tex]
Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)
[tex]\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}[/tex]
Combine the roots in the equation:
[tex]\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}[/tex]
Remove the parenthesis:
[tex]\implies {x = -\sqrt{\dfrac{1}{41} }}[/tex]
Thus, Option C is correct.
Please help now, I will give Brainliest!!! :D
Peter is 19 years old. He lives at home with his parents and goes to college part time. He recently started working as a server, working 40 hours per week.
Where Peter lives, the minimum wage for tipped and non tipped employees is $7.25 per hour.
In the average week, he serves 90 tables whose typical bill is $21 with an average tip of 15%.
How much money does he make in a typical week??
Answer:
$573.50 per week
Step-by-step explanation:
wages = 40 hr/wk * 7.25 $/hr $290 per week
tips 90 tables * ( 21*.15) = 283.50
total 290 + 283.5 = 573.50
Find the maximum rate of change of the function f (x, y) = x^2y^2 + xy −10 at the
point (1, 1), and the direction in which it occurs.
Answer:
The maximum rate of change of the given function is equal to 3√2.
The direction at which the vector points is given by the unit vector [tex]\displaystyle \frac{\sqrt{2}}{2} \hat{\i} + \frac{\sqrt{2}}{2} \hat{\j}[/tex].
General Formulas and Concepts:
Pre-Calculus
Vectors
Unit Vector:Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]:
[tex]\displaystyle (u + v)' = u' + v'[/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Multivariable Calculus
Partial Derivatives
Gradient:
[tex]\displaystyle \nabla f(x, y, z) = \frac{\partial f}{\partial x} \hat{\i} + \frac{\partial f}{\partial y} \hat{\j} + \frac{\partial f}{\partial z} \hat{\text{k}}[/tex]
Gradient Property [Addition/Subtraction]:
[tex]\displaystyle \nabla \big[ f(x) + g(x) \big] = \nabla f(x) + \nabla g(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle f(x, y) = x^2y^2 + xy - 10[/tex]
[tex]\displaystyle \text{Point} \ (1, 1)[/tex]
Step 2: Find Maximum Rate of Change
[Function] Take gradient:∴ the maximum rate of change of the given function f(x, y) is equal to 3√2.
Step 3: Find Direction
[Gradient] Convert to unit vector:∴ we have found the direction of the gradient.
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Topic: Multivariable Calculus
Unit: Directional Derivatives
A sequence can be generated by using
an=an-1-5 where
a1 = 100 and n is a whole number greater
than 1.
(a) What are the first five terms in the sequence?
(b) Write an iterative rule for the sequence. Show your work
a) The first five terms in the sequence is 100, 95, 90, 85 and 80
b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95
Iterative rule for a sequenceSequences are set of values arranged in a particular order. Given the recursive formula for a sequence expressed as;
an=an-1-5
If the first term a1 = 100, then;
a2 = a1 - 5
a2 = 100 - 5
a2 = 95
For the third term
a3= a2 - 5
a3= 95 - 5
a3 = 90
The other two terms will be 85 and 80
a) The first five terms in the sequence is 100, 95, 90, 85 and 80
b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95
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Anybody know the slope of the line is … Help
Answer: The slope is -1
Step-by-step explanation:
When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.
Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines. For this problem lets go with the first point at (0,1) and the second point at (1,0).
Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component). Point 1 has a y-component of 1 and point 2 has a y-component of 0.
1 - 0 = 1 = rise
Point 1 has an x-component of 0 and point 2 has an x-component of 1.
0 - 1 = -1 = run
rise/run = 1/-1
Slope = -1
Which is zero of the polynomial expression 7x+21
Y=-3×-2 graph can someone please help me with this please
Answer:
6
Step-by-step explanation:
Negative ×negative always gives gives a positive
Forces with magnitudes of 2000 newtons and 900 newtons act on a machine part at angles of +45degrees and -60degrees respectively, with the right side of the x-axis. Find the direction and magnitude of the resultant of these forces.
Answer:
First,you need to find the components of each force.
Course challenge
You might need: Calculator
Figure A is a scale image of figure B.
Figure A
Figure B
16
Figure A maps to figure B with a scale factor of 4/9
What is the value of X?
Answer:
x=36
Divide the corresponding side (16) by 4/7
Answer:
x=36
Divide the corresponding side (16) by 4/7
Step-by-step explanation:
x=16×9/4=36
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x /2 ) = ? cos ( x /2 ) = ? tan ( x/ 2 ) = ?
Answer:
see below
Step-by-step explanation:
cscx=4
sinx=1/4
cosx=-√(1-sin^2x)=-√(1-(1/16))=-√(15/16)=-√15/4
note: cos<0,sin>0 in quadrant II
sin(x/2)= [tex]\sqrt{\frac{1+cos(x)}{2} } =\sqrt\frac{1+\sqrt{\frac{15}{4} } }{2} =\sqrt{\frac{4+\sqrt{15} }{8} }[/tex]
cos(x/2)= [tex]\sqrt{\frac{1-cos(x)}{2} } =\sqrt{\frac{1-\sqrt{\frac{15}{4} } }{2} } =\sqrt{\frac{4-\sqrt{15} }{8} }[/tex]
tan(x/2)= [tex]\frac{sin(x)}{1-cos(x)} =\frac{\frac{1}{4} }{(1-\frac{\sqrt{15} }{4} )} =\frac{\frac{1}{4} }{\frac{4-\sqrt{15} }{4} } =\frac{1}{4-\sqrt{15} }[/tex]
Calculator check:
[tex]sinx=\frac{1}{4}[/tex]
[tex]x\neq 165.52[/tex]˚ in quadrant II
[tex]\frac{x}{2} \neq 82.76[/tex] ˚
sin(x/2)≈sin(82.76)≈0.9920..
exact value=√(4+√15)/8≈0.9920..
..
cos(x/2)≈cos(82.76)≈0.1260..
exact value=√(4-√15)/8≈0.1260..
..
tan(x/2)=tan(82.76)≈7.872..
exact value=1/(4-√15)≈7.872..
Need Answer Please And thank you
Answer:
157.78
Step-by-step explanation:
Area of a trapezoid = ( sum of base lengths / 2 ) × height
the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m
the height is 9.8m
so area = (( 8.7 + 23.5 ) / 2) × 9.8
==> add 8.7 and 23.5
area = (32.2 / 2) × 9.8
==> divide 32.2 by 2
area = 16.1 × 9.8
==> multiply 16.1 and 9.8
area = 157.78
Consider the equation v+4+v=8. What is the resulting equation after the first step in the solution?
0v+4=8-v
Ov+4=8
04+v=8-v
O2v + 4 = 8
The resulting equation after the first step in the solution is:
2v + 4 = 8.
What is Equation?An equation is a mathematical statement that asserts the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.
we have the Equation v + 4 + v =8
Now, simplifying we get
2v + 4= 8
2v = 4
v =2
To obtain this equation, we combined the like terms "v" on the left side of the equation, which gives us 2v. The rest of the equation remains unchanged.
Therefore, the correct answer is : 2v + 4 = 8.
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