\( \frac{3}{9} + \frac{5}{20} \\ = > \frac{1}{3} + \frac{1}{4} \\ = > \frac{1 \times 4}{3 \times 4} + \frac{1 \times3 }{4 \times 3} \\ = > \frac{4 + 3}{12} \\ = \frac{7}{12} \)
Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Mary Lou Mason's total taxes on her purchase would be $1.37.
What are taxes?Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.
Mary Lou Mason's total purchase was $19.14.
To calculate the total taxes for her purchase, we can use the following formula:
Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)
Therefore, the total taxes for Mary Lou Mason's purchase would be:
Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)
Tax = (0.065 x 19.14) + (0.015 x 19.14)
Tax = 1.24 + 0.13
Tax = $1.37
Mary Lou Mason's total taxes on her purchase would be $1.37.
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Classify each of the following statements as true or false.
a 4 × n can be written as 4n. say if it is true or false thanks smarties
b n × 3 can be written as 3n.
c 4 × b can be written as b + 4.
d a × b can be written as ab.
e a × 5 can be written as 50a.
Step-by-step explanation:
a- true
b- true
c- false, it can be written 4b
d- true
e- false, 5a
Answer:
A.true B.true C.False D.true E.False
For which value of x is this equation true?10 + x ÷ 3 = 12
Answer:
Hi
please mark brainliest ❣️
Thanks
Step-by-step explanation:
10 + x / 3 = 12
Cross multiply
10 + x = 12× 3
10 + x = 36
Collect like terms
x= 36 - 10
x = 26
Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
Edna raises money for charity and donates $123 per week. How much does Edna donate to charity each year? Note: There are
52 weeks in a year.
A. $6,426
B. $6,406
C. $6,396
D. $6,356
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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A mug has a diameter of 8 centimeters and a height of 11 centimeters. Which of the following is the closest to the volume of the mug?
y=1/4*7^x+2+2 I need this pls
Hence, the y value is 16.25 if x equals 2. To determine the equivalent values of y, you can similarly change the values of x in the equation.
What are a formula and an equation?Your example is an equation since an equation that's any statement with an equal's sign. The usage of equations in mathematical expressions is widespread because mathematicians adore equal signs. An equation is a collection of guidelines for producing a specific outcome.
You appear to have given an equation. Assuming you want an explanation or a condensed version of an equation, it's provided below:
The equation is in the form of exponential function, where "x" is the exponent and "7" is the base. The equation has three terms: "1/4×7ˣ," "2," and "2." The first term is the exponential part of the equation, and the other two terms are constants.
By first evaluating the exponential term and then changing mathematical value of "x" in the solution, you can make the equation simpler. For instance, the equation becomes: if "x" is 2.
Y = 1/4×7² + 2 + 2
Simplifying this expression, we get:
Y = 1/4×49 + 4
Y = 12.25 + 4
Y = 16.25
Therefore, if x is equal to 2, the value of y is 16.25. You can similarly substitute different values of x into the equation to find the corresponding values of y.
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Complete question -
Solve for y, y=1/4*7^x+2+2 I need this pls
Evaluate each expression.
8/7 + 4/7
Answer:
1 4/7
Step-by-step explanation:
8/7 + 4/7 = 12/7. Simplified = 1 4/7
Answer:
1 5/7
Step-by-step explanation:
8+4=12
7 goes into 12 one time.
1 5/7
Lin swims 10 laps in the pool in 25 minutes.
How many minutes per lap is that?
I am not good at math (о´∀`о)
Answer:
The answer is 2.5 minutes per lap.
Step-by-step explanation:
Divide the number of minutes by the amount of laps:
25/10 = 2.5
To check your answer, multiply 2.5 my the amount of laps.
2.5 x 10 = 25
I hope this helped you! If it did, please consider rating, pressing thanks, and/or giving my answer 'Brainliest.' Have a wonderful day. :)
Answer:
40 seconds per lap
Step-by-step explanation:
10 divided by 25 is 0.4
So im pretty sure the anser is 40 secounds
Sorry if im wrong- im not that great at math eaither I just used a calculator.
When the dilation has a scale factor greater than 1, it is considered an _____
A. enlargement
B. reduction
Answer:
A. enlargement.
Step-by-step explanation:
when you multiply a number by anything greater than one the number will go up. and if it is 1 or less than one the number will go down
What is the image point of (3,-4) after a translation left 2 units and up 5 units?
Answer:
(1,1)
Step-by-step explanation:
3-2=1
-4+5=1
The image point of (3,-4) after a translation left 2 units and up 5 units is (1,1).
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
We are given that;
Point= (3,-4)
Now,
To find the image point of a translation, we can use the following rule:
To translate a point left or right, add or subtract the horizontal distance to the x-coordinate of the point.
To translate a point up or down, add or subtract the vertical distance to the y-coordinate of the point.
In this case, we have a translation left 2 units and up 5 units. This means that we need to subtract 2 from the x-coordinate and add 5 to the y-coordinate of the point (3,-4). Therefore, the image point is:
(3−2,−4+5)
(1,1)
Therefore, by the graph the answer will be (1,1)
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Find the interest earned on a $50,000 deposited for six years at 4 1/8% interest, compounded continuously.
For the given principal $50,000 which was deposited for six years at
4 1/8% interest rate compounded continuously is $14040.97.
As given in the question,
Deposited amount is equal to $50,000
Time period 't' is equal to 6 years
Interest rate 'r' compounded continuously is equal to 4 1/8%
Compounded continuously formula is
A = P\(e^{rt}\)
P is the initial amount deposited
P = $50,000
r = 4 1/8%
= 33/8 %
= 0.04125
Substitute the value in the formula we get,
A = ( 50,000 ) × \(e^{0.04125 \times 6}\)
⇒ A = 50,000 × \(e^{0.2475}\)
⇒ A = 64040.97
Interest =Amount - Principal
⇒ Interest = 64040.97 - 50,000
⇒ Interest = $14040.97
Therefore, For the given principal $50,000 which was deposited for six years at 4 1/8% interest rate compounded continuously is $14040.97.
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What are the new coordinates of point A when
it is rotated about the origin by
a) 90° clockwise?
-4
b) 180°?
c) 270° clockwise?
-3 -2 -1
Y
4-
3-
ΤΑ
2.⁰⁰
1
0
-1-
-2-
--3-
-4-
1
N.
2
3 4
X
The different coordinates after respective rotation are:
1) A'(2, 0)
2) A'(0, -2)
3) A'(-2, 0)
What are the coordinates after rotation?There are different methods of transformation such as:
Translation
Rotation
Dilation
Reflection
Now, the coordinate of the given point A is: A(0, 2)
1) The rule for rotation of 90 degrees clockwise is:
(x, y) →(y,-x)
Thus, we have:
A'(2, 0)
2) The rule for rotation of 180 degrees is:
(x, y) → (-x,-y)
Thus, we have:
A'(0, -2)
3) The rule for rotation of 180 degrees is:
(x, y) → (-y,x)
Thus, we have:
A'(-2, 0)
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I need to know the answer
Answer: \(f(x)=-(x-5)^{2}(x+2)\)
Step-by-step explanation:
There is a double root at x=5 and a single root at x=-2, so we know f(x) is of the form \(f(x)=a(x-5)^{2}(x+2)\) for some constant a.
To find a, we can substitute the coordinates of the y-intercept, (0, -50).
\(-50=a(0-5)^{2}(0+2)\\\\-50=50a\\\\a=-1\)
So, \(f(x)=-(x-5)^{2}(x+2)\)
A campus survey states that 40% of students ride the bus if there are 300 students how many ride the bus?
Answer: 180 students
Step-by-step explanation:
Marcus invested $2000 in a bank account earning simple interest. The interest, I, he has after t years at an interest rate r is given by this equation.
l = 2000 rt
After 2 years, the total amount in the account was $2160. What was the annual interest rate?
Answer:
4%
Step-by-step explanation:
Answer:
4% hope this helps
Step-by-step explanation:
A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.
What is P(A or B)?
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).
Answer:
(x-14)^2+(y-3)^2=9
Step-by-step explanation:
equation of a circle is (x-h)^2+(y-h)^2=r^2
so center is (14,3) and is tangent externally means
(x-14)^2+(y-3)2=3^2
(x-14)^2+(y-3)^2=9 answer
The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is \((x-14)^2 + (y-3)^2=9\)
The standard formula for finding the equation of a circle is expressed as:
\((x-a)^2+(y-b)^2=r^2\)
where
(a, b) is the centre
r is the radius
Given the center at (14, 3)
If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3
Substitute the radius and the centre into the expression above to have:
\((x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9\)
Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is \((x-14)^2 + (y-3)^2=9\)
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Need help with this question
9514 1404 393
Answer:
112 m²
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
Here, we have four identical triangles. Their total area is ...
SA = 4A = 4(1/2)bh = 2bh
SA = 2(8 m)(7 m) = 112 m² . . . . pyramid surface area
Look at the pattern shown below.
2, 4, 16, 256 ...
What is f(n+ 1) in terms of f(n), where n represents the position of a term in this pattern?
A. (F(n))^2
B. 2(f(n))
C. (F(n)-1)^2
D. 2(f(n)-1)
Answer: (a)
Step-by-step explanation:
Given
The pattern is 2, 4, 16, 256...
From the pattern, we can see that the next term is square of the previous i.e.
\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)
So, for the \(n^{th}\) term, the function is \(f(n)\)
For the next term, it is \(f(n+1)\)
So,
\(\Rightarrow f(n+1)=[f(n)]^2\)
Evaluate the expression below: 10 • √64 – 5 • 4
Answer:
\(\huge\boxed{\sf 60}\)
Step-by-step explanation:
Given expression:10 • √64 – 5 • 4
We know that, √64 = 8
So,
= 10 × 8 - 5 × 4
In an expression, we follow the order of DMAS:
D => Division
M => Multiplication
A => Addition
S => Subtraction
So, here we will multiply first.
= 80 - 20
= 60\(\rule[225]{225}{2}\)
A cylinder has a height of 18 cm and a diameter of 12 cm. Calculate the surface area of the cylinder. Give your answer to the nearest integer.
The surface area of the cylinder is 905 square centimeters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 12 cm
Height, h = 18 m
This means that
Radius, r = 12/2 = 6 cm
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 6 * (6 + 18)
Evaluate
Surface area = 905
Hence, the surface area is 905 square centimeters
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Which of the following methods will solve the equation (5x – 7)3 = 42
a) Divide the left side of the equation by 3, add 7 to the right side of the
equation, and multiply both sides by 3.
b) Divide both sides by 3, add 7 to both sides, and multiply both sides by 3.
c) Add 7 to both sides, divide both sides by 3, and multiply the left sides by 3.
d) Multiply both sides by 3, add 7 to both sides, and then divide both sides by 3.
Answer:
Divide both sides by 3, Add 7 to each side ,Divide each side by 5
Step-by-step explanation:
(5x – 7)3 = 42
Divide both sides by 3
(5x – 7)3/3 = 42/3
5x-7 = 14
Add 7 to each side
5x-7+7 = 14+7
5x = 21
Divide each side by 5
5x/5 = 21/5
x = 21/5
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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carol rolled a dice 150 times she rolled a six 39 time
Answer:
nice
Step-by-step explanation:
whats the rest of the problem or is it just that she rolled a dice
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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Please Solve, Thank you!
Answer:
1711
Step-by-step explanation:
\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)
Make sure to follow order of operations!