\(\huge\text{Hey there!}\)
\(\mathsf{6\%\ of\ 33.00}\)
\(\mathsf{= \dfrac{6}{100}\ of\ 33.00}\)
\(\mathsf{= \dfrac{6}{100}\times33.00}\)
\(\mathsf{= \dfrac{6}{100}\times 33}\)
\(\mathsf{= \dfrac{6}{100}\times \dfrac{33}{1}}\)
\(\mathsf{= \dfrac{6\div2}{100\div2}\times \dfrac{33}{1}}\)
\(\mathsf{= \dfrac{3}{50}\times\dfrac{33}{1}}\)
\(\mathsf{= \dfrac{3\times 33}{50 \times1}}\)
\(\mathsf{= \dfrac{99}{50}} \mathsf{\rightarrow 1 \dfrac{49}{50}}\)
\(\huge\text{Answer: }\)
\(\huge\boxed{\mathsf{\dfrac{99}{50} \ or\ 1\dfrac{49}{50}}}\huge\checkmark\)
\(\uparrow\large\text{Either those should work because they are equivalent to (equal to)}\\\large\text{each other}\uparrow\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
given that a=6, b=-4 and c=8, calculate the value of a^2 + b ove c - b?
Answer:
2.667
Step-by-step explanation:
Let's substitute our known values in for the variables of this expression:
(a^2 + b) / (c - b)
(6^2 + -4) / (8 - -4)
(36 - 4) / (8 + 4)
32 / 12 = 2.667
Hope this helped!
Solve for j.
-2 + 13j = 10j - 20
j=1
Answer:
Hi there!
Your answer is:
j= -6
Step-by-step explanation:
-2+13j = 10j -20
-10j
3j -2 = -20
+2
3j = -18
/3
j= -6
Hope this helps
tan2a=cot(a-70) please solve it
The value for Tan 2a = Cot ( a - 70) gives a= 53.33
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Tan 2a = Cot ( a - 70)
As, tan a= cot (90 - a)
So, cot (90- 2a) = Cot (a-70)
Now, comparing the angles we get
90 -2a = a - 70
90 + 70 = a + 2a
3a = 160
a = 160/3
a = 53.33
Hence, the value of a is 53.33.
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7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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4. At a discount furniture store, Chris offers the salesperson $600 for a couch and a chair. The store charges 8% sales tax. If the salesperson accepts the offer, what is the cost of the furniture, including tax? Round your answer to the nearest hundredth.
5. Shelly earned 20% more money waitressing this week than last week. Last week, she earned $72. How much money did she earn this week? Round your to the nearest hundredth.
6. A 24 ounce box of Cinnamon Crunchers cereal costs $3.99. At this rate, what is the cost of a 36 ounce box of Cinnamon Crunchers? Round your to the nearest hundredth.
NEED THIS DONE ASAP DUE TOMORROW
worth 10 points
Answer:
4. $648
5. $86.40
Step-by-step explanation:
You take the percent (we'll take 4 for example, so 8%) and change it to a decimal: .08. You then multiply the decimal (.08) by your other number (in this case $600) and the resulting number is your answer, but not final. Take whatever the answer was (in this case 48) and add it to the orignal number (600) to get $648.
what are disadvantages of using this type of data collection? check all that apply.the response rate may be too high to manage.respondents may exaggerate or distort facts.respondents might consider the survey to be junk mail.respondents do not have enough time to consider their answers.respondents may not represent an accurate population sample.
These disadvantages can impact the validity and reliability of the data collected using this type of data collection method. To mitigate these issues, researchers should design the survey carefully, ensure a representative sample, and provide clear instructions to respondents.
There are several disadvantages of using the mentioned type of data collection, which could affect the quality and reliability of the data gathered.
1. Respondents may exaggerate or distort facts: It is possible that some respondents may not provide accurate information, either due to the desire to present themselves in a better light or misremembering details. This can lead to biased or inaccurate data.
2. Respondents might consider the survey to be junk mail: If the survey is distributed via mail or email, some recipients may disregard it as unwanted communication. This can result in a lower response rate and a less representative sample of the population.
3. Respondents do not have enough time to consider their answers: If the survey has a tight deadline or contains complex questions, respondents may feel rushed and not have adequate time to reflect on their responses. This can lead to hasty or incomplete answers that do not accurately capture their opinions or experiences.
4. Respondents may not represent an accurate population sample: If the survey's sample is not representative of the target population, the results may be biased and not generalizable to the broader population. It is crucial to ensure that the sample selection process is unbiased and reaches a diverse range of participants.
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A metal can is a cylinder with a radius of 3 in. and a height of 6 in.
What is the surface area of the metal can?
Use 3.14 for pi.
Enter your answer in the box.
in2
Answer:
169.56
Step-by-step explanation:
54*3.14 = 169.56
this is the answer on the test
Answer: 169.56
Step-by-step explanation:
I took the test
A
Solve for x.
x =
10
x = 4
x = 5
x = 2
10
4
2
E
B
X
A ladder leans against a house making a 30 degree angle with the ground. If the ladder touches the house at a point 10 feet high, how long is the ladder?
Answer:
20ft.
Step-by-step explanation:
Sine = Opposite / Hypothenuse
Opposite = Height = 10ft
Hypothenuse = Length of ladder
Therefore, sin30° = 10ft / Length = 1/2
Length = 20ft
What is the first step in solving the quadratic equation -5x^2+8=133?
Answer:
a) subtracting '8' on both sides, we get
- 5 x² + 8-8 = 133-8
- 5 x² = 125
b) The solution is x = 5 i
Step-by-step explanation:
Explanation:-
Step (i):-
Given quadratic equation - 5 x² + 8 = 133
subtracting '8' on both sides, we get
- 5 x² + 8-8 = 133-8
- 5 x² = 125
Step(ii):-
dividing '-5' on both sides, we get
\(\frac{-5 x^2}{-5} = \frac{125}{-5}\)
x² = -25
\(x = \sqrt{-25}\)
x = 5 i
Answer:
its b
Step-by-step explanation:
How many cans of paint are needed to cover an area of 2000?
The number of cans required to paint an area of 2000 square units is equal to 5 cans.
As given in the question,
Total area to be painted is equal to 2000 square units.
Area covered by one can of paint is equal to 400 square units
400 square units = 1 can of paint
⇒ 1 square units = ( 1 / 400 ) cans of paint
⇒ 2000 square units = ( 2000 / 400 ) cans of paint
⇒ 2000 square units = 5 cans of paint
Therefore, the number of cans required to paint an area of 2000 square units using given can is equal to 5 cans.
The above question is incomplete, the complete question is:
How many cans of paint are needed to cover an area of 2000 square units if one can of paint covers in area 400 square units?
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the sum of the interior angles of any triangle is equal to:
a. 90 degrees
b. 120 degrees
c. 180 degrees
d. 240 degrees
e. 360 degrees
Answer:
Answer is C.
Step-by-step explanation:
Answer:
It is 180
Step-by-step explanation:
It is common math
Question 1 1 pts If g and h are both positive numbers, which statement is true about the x-intercepts of the function f(x) = (x - g)(x - h). the function has no x-intercepts both x-intercepts are negative one x-intercept is negative and one x-intercept is positive both x-intercepts are positive
for the function
f(x) = (x -g)(x - h)
To get the x-intercept, we can equate the function to zero
f(x) = (x -g)(x - h) = 0
so (x - g) = 0
which gives x = g
And (x - h) = 0
which gives x = h
Since we have been told that g and h are positive, then it follows that both intercepts are positive
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32t + 6. Describe in detail (using formulas and/or specific steps needed) TWO ways to find the maximum height reached by the ball.
Answer:
1) Using properties of the quadratic equation:
Here the height equation is:
h(t) = -16t^2 + 32t + 6
We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.
Then, the vertex of the quadratic equation will be the maximum.
Remember that for a general quadratic equation:
a*x^2 + b*x + c = y
the x-value of the vertex is:
x = -b/2a
Then in our case, the vertex is at:
t = -32/(2*-16) = 1
The maximum height will be the height equation evaluated in this time:
h(1) = -16*1^2 + 32*1 + 6 = 22
The maximum height is 22ft
2) Second method, using physics.
We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).
If the height equation is:
h(t) = -16*t^2 + 32*t + 6
the velocity equation is the first derivation of h(t)
Remember that for a function f(x) = a*x^n
we have that:
df(x)/dx = n*a*x^(n-1)
Then:
v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0
v(t) = -32*t + 32
Now we need to find the value of t such that the velocity is equal to zero:
v(t) = 0 = -32*t + 32
32*t = 32
t = 32/32 = 1
So the maximum height is at t = 1
(same as before)
Now we just need to evaluate the height equation in t = 1:
h(1) = -16*1^2 + 32*1 + 6 = 22
The maximum height is 22ft
The number 5/7 can be best describes as a(n)?
Mixed number
Improper fraction
Proper fraction
Answer:
proper fraction
Step-by-step explanation:
Mixed number has a whole number and a fraction a b/c
Improper fraction has a numerator that is greater than the denominator a/b where a is greater than b a>b
Proper fraction has a numerator that is less than the denominator a/b where a is less than b a<b
Answer:
Proper fraction
Step-by-step explanation:
Numerator is less than the denominator, making it a proper fraction.
A test has twenty questions
worth 100 points. Some
questions are worth three points,
some are worth eleven points.
How many three-point questions
are there? How many eleven
point questions are there?
There are 5 11 pointer questions and 15 3 pointer questions
We are given that total points of the test is 100
The test contains questions of two markings 3 points and 11 points
It is given that the total number of questions is 20
Let the number of three pointer questions be 'x' and the number of 11 pointer questions be 'y'
Thus total number of questions=x + y =20
Now the total sum of all the points comes to 100
Therefore,
3x+11y =100
x + y =20
x= 20-y
Now putting the value of x in the other question,
3(20-y) +11y =100
60-3y +11y=100
8y=100-60
8y=40
y=5
Thus x=20-y=20-5=15
Thus there are 5 11 pointer questions and 15 3 pointer questions
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An urn holds 9 identical balls except that 1 is white, 3 are black, and 5 are red. An exp How many outcomes are in the sample space for this experiment? How many outcomes are in the event "no ball is
Answer c
Step-by-step explanation:
40 65 170 55a scientist has two solutions, which she has labeled solution a and solution b. each contains salt. she knows that solution a is salt and solution b is salt. she wants to obtain ounces of a mixture that is salt. how many ounces of each solution should she use?
She would require 60 ounces of Solution A and 40 ounces of solution B.
What is the computation for the above result?Let a = ounces of A needed
Let b = ounces of B needed
+.4a+ = ounces of salt in A
+.65b+ = ounces of salt in B
Required:
a + b = 100 ---------------------1
(0.4a+0.65b)/100 = 0.5-----2
solving Equation 2, lets multiply both sides of equation 2 by 100
⇒ (0.4a+0.65b) = 50; multiply both sides further by 100
⇒ 40a + 65b = 5000-------------3
Going back to equation 1, lets multiply both sides by 40
40a + 40b = 4000-----------------4
Remove 4 from 3 above
40a + 65b = 5000
- 40a + 40b = 4000
25b= 1000
Thus,
b= 1000/25
b = 40
Recall from equation 1 that a + b = 100
hence
a + 40 = 100
a = 100-40
a = 60
Therefore,
She would require 60 ounces of Solution A and 40 ounces of solution B.
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Full Question:
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt.
She knows that
Solution A is 40% salt and
Solution B is 65% salt.
She wants to obtain 100 ounces of a mixture that is 50% salt.
How many ounces of each solution should she use?
i need help please!
Answer:
the correct answer is true
please help ASAP! A circular plate has a radius of 13 centimeters.
What is the area of the plate?
Use 3.14 for π.
Answer:
area = PI x r^2
area = 3.14 x 13^2
area = 3.14 x 169
area = 530.66
Step-by-step explanation:
Plz Mark as brainliest hope this helps
if the two values compared by the nullif function are equal, what value does the function return?
When the two values compared by the NULLIF function are equal, the function returns a NULL value. This is because the NULLIF function is designed to return NULL when the two compared values match, allowing for easier handling of data in certain situations.
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The two values compared by the nullif function are equal, the function will return a null value. This is because the nullif function compares two expressions and returns a null value if they are equal, otherwise it returns the first expression. In other words, nullif will only return a non-null value if the two expressions being compared are not equal.
the nullif function is commonly used in SQL to handle null values in expressions or comparisons. It allows you to substitute a null value with another value or nullify an expression if a specific condition is met. If the two values compared by the nullif function are equal, it means that the expression is nullified, and the function will return a null value.
the nullif function is a useful tool for handling null values in SQL. If the two values compared by the function are equal, it will return a null value. It is important to keep this in mind when using the function in your SQL queries.
Hi! I'd be happy to help with your question.
If the two values compared by the NULLIF function are equal, the function returns a NULL value.
The NULLIF function compares two expressions and returns a NULL value if they are equal. Otherwise, it returns the value of the first expression. The syntax for the NULLIF function is: NULLIF(expression1, expression2).
the NULLIF function returns NULL when the two compared values are equal, and the value of the first expression when they are not equal.
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Sketch the curve.r = 9 + 2 cos(θ)Find the area that it encloses.____________
The area enclosed by the curve r = 9 + 2cos(θ) is 45π square units.
To find the area enclosed by the curve r = 9 + 2cos(θ), we can use the formula for the area enclosed by a polar curve, which is given by:
A = (1/2) \(\int\limits^a_b\) r(θ)^2 dθ
where a and b are the values of θ that correspond to the starting and ending points of the area we want to calculate.
In this case, since the curve r = 9 + 2cos(θ) describes a closed loop, we can choose a range of θ that covers the entire loop, for example, [0, 2π]. Therefore, the area enclosed by the curve is
A = (1/2)\(\int\limits^{2\pi }_0\) (9 + 2cos(θ))^2 dθ
Expanding the square and using the trigonometric identity cos^2(θ) = (1/2)(1 + cos(2θ)), we get
A = (1/2) \(\int\limits^{2\pi }_0\) (81 + 36cos(θ) + 4cos^2(θ)) dθ
= (1/2) \(\int\limits^{2\pi }_0\) (81 + 36cos(θ) + 2 + 2cos(2θ)) dθ
= (1/2) (81(2π) + 36sin(θ)|[0,2π] + 2θ|0,2π + sin(2θ)|[0,2π])
= 45π square units
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The given question is incomplete, the complete question is:
Find the area enclosed by the curve r = 9 + 2cos(θ)
Coffee is draining from a conical filter with height and diameter both
15
cm, into a cylindrical coffee pot with diameter
15
cm. The rate at which coffee drains from the filter into the pot is
100
cc/min. The rate in cm/min at which the level in the pot is rising at the instant when the coffee in the pot is
10
cm, is
The rate at which the level in the coffee pot is rising, when the coffee in the pot is 10 cm, is approximately 20 cm/min. To find the rate at which the level in the coffee pot is rising, we can consider the volume of coffee that is draining from the filter into the pot.
The rate at which the coffee drains from the filter is given as 100 cc/min. Since the filter and pot have the same diameter, the area of the base of the filter and pot is the same.
The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. The volume of coffee draining per minute can be calculated using the height of the cone, which is 15 cm. Substituting the values, we have V = (1/3)π(7.5²)(15) cc/min.
When the coffee in the pot is 10 cm, the volume of coffee in the pot is given by V =π(7.5²)(10) cc. Now, we can differentiate the volume with respect to time to find the rate at which the level is rising.
dV/dt = π(7.5²)(dh/dt)
100 cc/min = π(7.5²)(dh/dt)
Simplifying the equation, we can find that dh/dt is approximately 20 cm/min. Therefore, the rate at which the level in the pot is rising at the instant when the coffee in the pot is 10 cm is approximately 20 cm/min.
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n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume?
1080 inches² are the dimensions of the box with maximum volume .
What is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.rectangular box length = 24 inches
width = 45 inches
maximum volume = 24 * 45
= 1080 inches²
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b. What's the probability a customer who ordered pancakes came to the diner late?
c. Are breakfast choice and meal time independent? Explain.
Answer:
b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%
c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.
Step-by-step explanation:
Write the equation of the line that passes through the points (2,6) and (-5,4)
Answer:
y=2/7 x+38/7
Step-by-step explanation:
equation of the line y =ax+b;
a = 4-6/ -5-2
Please help me!! No files allowed just the answer. Explanation would help me to!
Answer:
27/137
Step-by-step explanation:
They multiply by 3 every time. The next would be:
9*3/137=27/137
Show that Area A + Area B = Area C
Area a + b + c = Area of Semi-circle on BC (radius 5). = Area c + d ... Shaded area = Sum of semi-circles on AC and AB – Semi-circle on BC + Triangle Area.
What is Area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares. The area of a figure is counted as the number of unit squares required to cover the overall surface area of that particular 2-D shape. Square cms, square feet, square inches, square meters, etc., are some of the common units of area measurement.To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape will be measured in cm², also known as square centimeters.Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.To learn more about three-dimensional object refer to:
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Round 27.1018494699 to the nearest hundred-thousandth.
Answer:
27.10185
Hope it helps and have a great day! =D
~sunshine~
Find the difference between points M(6, 16) and Z(-1, 14) to the nearest tenth.
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:
d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
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