Answer:
5
Step-by-step explanation:
when selecting your schedule in school, you can choose from three math courses, four english courses, two science courses, and two history courses. how many choices do you have for your schedule if you need to select one math, one english, one science, and one history course?
You have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.
When selecting your schedule in school, you have to choose one math course from the three options, one English course from the four options, one science course from the two options, and one history course from the two options. To find out how many different schedule options you have, you need to multiply the number of options for each subject. So, you have:
3 options for math x 4 options for English x 2 options for science x 2 options for history = 48 possible schedule combinations.
Therefore, you have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.
To determine the number of possible schedules, you need to multiply the number of choices for each subject together. You have three math courses, four English courses, two science courses, and two history courses. The formula for calculating the total number of choices is:
Total choices = (Math choices) x (English choices) x (Science choices) x (History choices)
Total choices = (3) x (4) x (2) x (2) = 48
So, you have 48 different possible schedules when selecting one math, one English, one science, and one history course.
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Choose the appropriate symbol to indicate the relationshipbetween the numbers:24___240O A. 24 < 240O B. 24 >240O C. 24 = 240
Let's recall what are the symbols
Calculate the VAT amount that is included in the R93,57 monthly flat rate for the UNMETERED residential area
Answer: R12.20
Step-by-step explanation:
VAT in South Africa is 15% so if the flat rate is R93.57, the VAT amount can be found by finding the pre-tax flat rate:
93.57 = x + 0.15x
1.15x = 93.57
x = 93.57/1.15
x = R81.37
VAT is 15% of R81.37:
= 15% * 81.37
= R12.20
The table shows the length, in inches, of fish in a pond.
15 18 9 22
7 15 10 18
Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 22.
There is an outlier at 7.
There are outliers at 7 and 22.
There are no outliers.
Answer:There are no outliers. All numbers are similar distance.
Step-by-step explanation:
If you can choose one scoop of ice cream and one topping, how many different sundaes can you make?
ice cream
vanilla
chocolate
toppings
fudge
cherry
marshmallow
Each set of ordered pairs represents a function. Write a rule that represents the function. (0, −8), (1, −7), (2, −6), (3, −5), (4, −4) A. y = x − 8 B. y = 4x − 8 C. y = −x + 8 D. None of the above
The equation of the line is y = x - 8
How to determine the rule of the ordered pairsFrom the question, we have the following parameters that can be used in our computation:
Points = (0, −8), (1, −7), (2, −6), (3, −5), (4, −4)
A linear equation can be represented as
y = mx + c
Substitute the known values in the above equation, so, we have the following representation
-8 = 0 * m + c ⇒ c = -8
-7 = 1 * m + c
In -8 = 0 * m + c, we have
c = -8
Substitute c = -8 in -7 = 1 * m + c
-7 = 1 * m - 8
Evaluate
-7 = m - 8
Evaluate the like terms
m = 1
Recall that
y = mx + c
So, we have
y = x - 8
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Jabal and Michael are walking to school and agree to leave their homes at the same time.
Jabal leaves his house walking 2.5 meters per second. Michael leaves his house walking 5 meters per second.
Jabal's house is 15 meters closer to school than Michael's house, therefore he is starting 15 meters closer than Michael.
After how long are the boys walking together? Use any strategy you'd like to solve.
Answer: 6 seconds
Step-by-step explanation:
Time Jabal (2.5mps) Michael (5mps)
Start 15 0
1 sec 17.50 5
2 20 10
3 22.5 15
4 25 20
5 27.5 25
6 30 30
7
8
9
10
Answer:
6 sec
Step-by-step explanation:
Let d = distance for Jabal
d + 15 = distance for Michael
t = d/r
d/2.5 = time for Jabal
(d + 15)/5 = time for Michael
The times are equal since they both started walking at the same time.
(d + 15/5 = d/2.5
2.5(d + 15) = 5d
2.5d + 37.5 = 5d
37.5 = 2.5d
d = 15 m. = Jabal's distance
15/2.5 = 6 sec.
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month. Write an equation for the cost (y) based on the number of months.
a. y = 25x + 100
b. y = 100x + 25
c. y = 25 + 100x
d. y = 100 + 25x
The correct answer is option A which is y = 25x + 100.
Given the following:
To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month
We need to write an equation for the cost (y) based on the number of months.
To solve the above problem, the answer is;a. y = 25x + 100
Explanation; Let's break down the problem
The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months
Therefore the correct answer is option A which is;y = 25x + 100.
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To join a local square dancing group,
Jan has to pay a $100 sign-up fee plus $25 per month.
The equation for the cost (y) based on the number of months is
y = 25x + 100,
where x is the number of months.
Option A is the correct equation for the cost based on the number of months.
Writing the equation:
y = 25x + 100
Where:
y = Cost based on the number of months
x = Number of months
Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:
$25 * 1 + $100 = $125
And if Jan has been a part of the group for 4 months, then the total cost would be:
$25 * 4 + $100 = $200
Therefore, option A is the correct answer.
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Segment PQ Is tangent to the circle at point Q. Which equation describes the relationship between the tangent and secant line segments? S R Р O A. (PQ)2 = (PR)(PQ) B. (PQ)2 = (PR)(QS) OC. PQ = (PR + PS) OD. (PQ)2 = (PR)(PS) -
The equation that describes the relationship between the tangent and secant line segments is; (PQ)² = (PR)(PS)
What is the Intersecting Secant-Tangent Theorem?
The Intersecting secant-Tangent Theorem states that If a tangent segment and a secant segment are drawn to a circle from an exterior point, then it means that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Now, we are given that;
Tangent Segment = PQ
Secant Segment = SP
Thus, from the applying the Intersecting secant-Tangent Theorem defined above, we can say that;
(PQ)² = (PR)(PS)
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Micah is at a donut shop and wants to choose his own dozen. There are ample glazed,
chocolate and jelly donuts. If Micah wants at least two jelly donuts, how many different
combinations of donuts can Micah use to create a box of a dozen donuts?
Answer:
Well lets label them
There are 4 choices
And the 4 choices can make up a dozen
He wants at least 2 jelly donuts
So instead of drawing over a 100 different combinations of donuts and checking them we can Do it like this
Well we know there has to be at least 2 jelly donuts out of the dozen so at least 2 of the donuts are jelly. Now you have 10 donut spaces left
So 1/4*1/4*1/4*1/4 since 4 options is 1/288 Now you have 1/288.
So 288 spaces? I’m not sure haven’t done this in a while just search up probability calcualtions
The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is produced?
A. h(x)=6(9)^(3x)
B. h(x)=6(3)^(2x^2)
C. h(x)=6(3)^(3x)
D. h(x)=6(6)^(2x^2)
Please show work!
Answer C is the right answer.
Step-by-step explanation:
h(x) = f(x) * g(x)
h(x) = (2*3^x ) * ( 3*3^2x )
2 * 3 is easy, that will be 6.
The ground number 3 remains 3 in h(x), so that is easy too...
But with multiplying exponents, you can add them.
Let's concentrate only on the exponents of f(x) and g(x)... and add them...
x + 2x =3x
So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)
So answer C is the right answer.
What are the fourth roots of 6+6√(3i) ?
Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure.
( )cis( )
( )cis( )
( )cis( )
( )cis( )
hello! I've tried looking up videos on how to do this, but I'm very confused as there aren't any that look quite like the one I was given. If someone could help, I'd appreciate that so much!
I can figure out the roots in order of increasing angle measure, so no worries about that, I know how to do that:)
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
Which of the following search algorithms should be used on large arrays if speed if important?
BinaryascendingBubble sortAll of the above
If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.
It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.
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Find the midpoint of $\overline{pq}$ with endpoints $p\left(-4,\ 3\right)$ and $q\left(4,-1\right)$. Then write an equation of the line that passes through the midpoint and is perpendicular to $\overline{pq}$. This line is called the perpendicular bisector.
Equation of the line that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.
One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.
The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.
Here points are P( -4 ,3 ) and Q ( 4,-1)
Mid -point of PQ :
\(=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\\)
Slope of PQ:
\(m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}\)
The slope of the line is Perpendicular to PQ
so, slope 2= -1/m
slope 2 = -1/(-1/2)
slope 2 = 2
Equation of the line that passes through the midpoint and is perpendicular to PQ
\(y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\\)
2x - y +1 = 0.
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Correct Question:
Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.
four consecutive integer numbers that add up to 2. What are the numbers?? -HELP PLS
Answer:
-1, 0, 1, 2
Step-by-step explanation:
-1 + 0 + 1 + 2 = 2
Answer:
Step-by-step explanation:
-1,0,1,2
give me brainliest pls
Damaris owns a small business and is hiring a staff of employees. Each full-time employee will be paid a yearly salary of
$32,000. Each part-time employee will be paid a yearly salary of $15,000. Damaris has $245,000 allocated for employees' yearly
salaries. If Damaris hires 5 part-time employees, how many full-time employees can she afford to hire?
Answer: 5
Step-by-step explanation:
question is linked below please helpp
Answer:
Step-by-step explanation:
(3x + 4)(5x - 2)(4x - 3) = 60x^3 + 11x^2 - 74x + 24 =>
a = 60
b = 11
c = -74
d = 24
____ : referring to the fact that the distance between two or more points is equal.
The term that refers to the fact that the distance between two or more points is equal is "equidistant".
In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.
Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.
The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.
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how do I find the value of variable and the measure of the angles
1) Since the sum of interior angles yields 180º, no matter which type of triangle it is.
2) Then we can write
3x+12 +x +6x +8 = 180
10x +20 = 180º
10x = 180-20
10x = 160
x= 16
2.2 Let's find out the measurement of each angle
m∠ A= x Plug into that the value of x
m∠ A = 16º
m∠B= 3x+12 Plug into that the value of x
m∠B = 3(16) +12
m∠B = 48+12
m∠B =60
3) Then the answers are:
x = 16
m∠ A = 16º
m∠B =60
Evaluate the
expression below.
3-10
Answer:
Step-by-step explanation:
-7
how to make a square with 50px sides tracy
To create a square with 50px sides, we need to draw four lines that are each 50px long and perpendicular to one another.
A square is a quadrilateral (a four-sided shape) with four equal sides and four equal angles of 90 degrees each. To create a square with 50px sides, we need to follow a few steps.
Step 1: Draw a line that is 50px long using a ruler or any other measuring tool.
Step 2: At the end of the line, draw a second line that is also 50px long and perpendicular to the first line. This will form the first side of the square.
Step 3: From the end of the second line, draw a third line that is also 50px long and perpendicular to the second line. This will form the second side of the square.
Step 4: Finally, draw a fourth line that is 50px long and perpendicular to the third line, connecting back to the starting point of the first line. This will form the remaining two sides of the square.
By following these steps, you have successfully created a square with 50px sides.
In summary, a square is a four-sided shape with four equal sides and angles of 90 degrees each. The resulting shape will be a square with 50px sides.
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NEED DONE ASAP PLS!!!
3√64 × 2^-1
= 4 × 1/2
= 2
The answer is 2.
Please do mark me Brainliest
Given the following assignments:
num1 = 12 num2 = 5 num3 = 10 num4 = 3
What are the results of the following expressions?
The results of the expressions are as follows: num1 + num2 = 17; num3 - num4 = 7; num1 * num4 - num2 = 31; num3 / num2 = 2; num1 % num4 = 0.
To determine the results of the expressions, we can evaluate them using the given assignments:
num1 + num2:
Result: 12 + 5 = 17
num3 - num4:
Result: 10 - 3 = 7
num1 * num4 - num2:
Result: 12 * 3 - 5 = 31
num3 / num2:
Result: 10 / 5 = 2
num1 % num4:
Result: 12 % 3 = 0
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Use the graph provided find f(x) = 1
Answer:
A
Step-by-step explanation:
reminder that y = f(x)
Locate y = 1 on the y- axis, then go horizontally across to meet the line at (- 2, 1 )
Thus when f(x) = 1 , x = - 2
what is 0+0 plz tell me th anwer
Answer:
0
Step-by-step explanation:
god made it that way
3to the 4 power times 2to the Third power
Answer:
648
Step-by-step explanation:
\(3^4 \cdot 2^3 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 2 \cdot 2 \cdot 2 = 81 \cdot 8 = 648\)
Answer:
648
Step-by-step explanation:
Step 1:
First, make an equation:
3⁴ · 2³
Step 2:
Then, simplify both factors:
3⁴ = 81
2³ = 8
Step 3:
Finally, multiply the numbers together:
81 · 8
And you will get 648.
Convert this rational number
to its decimal form and round
to the nearest thousandth.
8/9
Answer:
0.888
Step-by-step explanation:
hope it helps
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect: A. the size of the confidence interval to decrease. B. the sample size to increase. C. the size of the confidence interval to increase. D. the size of the confidence interval to remain the same.
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the size of the confidence interval to increase.
This is because a higher level of confidence requires a wider interval to encompass a larger range of possible values. The sample size does not necessarily need to change to adjust the confidence interval. Therefore, the correct answer is C. the size of the confidence interval to increase.
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect C. the size of the confidence interval to increase. This is because a higher confidence level requires a larger range to ensure the true population parameter is captured with more certainty.
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Question 10
Find the midpoint of the segment with endpoints X(3,6) and Y(7,10).
Midpoint is (5, 4)
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How to calculate the volume of water in your pool?
Answer:
Step-by-step explanation:
The volume of water in a pool can be calculated using the following formula:
Volume (in gallons) = Length (in feet) x Width (in feet) x Average Depth (in feet) x 7.5
For example, if your pool is 20 feet long, 15 feet wide, and has an average depth of 5 feet, the volume of water in your pool would be:
20 x 15 x 5 x 7.5 = 5625 gallons
Note: If you prefer metric units, the formula for volume in liters would be:
Volume (in liters) = Length (in meters) x Width (in meters) x Average Depth (in meters) x 1000
It's important to note that this formula assumes a standard rectangular or square pool shape. If your pool has a more complex shape, you may need to measure the volume in smaller sections and add the volumes together to get the total volume.