Can someone help me asap? It’s due today!! Show work! I will give brainliest if it’s correct and has work
Answer:
10 outcomes
Step-by-step explanation:
if 2 coins were selected with replacement=10×10=100
number of outcomes if 2 coins were selected without replacement=10×9=90
Finally, 100-90= 10 outcomes!
The list shows 15 midday temperatures, in degrees Celsius, in suntown. find the upper quartile
17, 21, 21, 18, 23, 22, 25, 19, 21, 17, 19, 18, 21, 24, 23
To find the upper quartile, we first need to arrange the data in ascending order:
17, 17, 18, 18, 19, 19, 21, 21, 21, 22, 23, 23, 24, 25
The upper quartile (Q3) is the median of the upper half of the data set. To find it, we need to identify the median of the upper half, which includes the values:
22, 23, 23, 24, 25
The median of this data set can be found by taking the average of the two middle values:
(23 + 24) / 2 = 23.5
Therefore, the upper quartile of the data set is 23.5°C.
Answer:
To find the upper quartile, we first need to find the median (Q2) of the data set:
Arrange the data set in ascending order:
17, 17, 18, 18, 19, 19, 21, 21, 21, 22, 23, 23, 24, 25
The median is the middle value, which is 21 in this case.
Next, we need to find the median of the upper half of the data set (values greater than 21):
22, 23, 23, 24, 25
The median of this subset is 23.
Therefore, the upper quartile is 23.
Step-by-step explanation:
RV=y+27 and TV=3y–17, find RV in parallelogram RSTU.
T
S
R
U
V
Answer:
RV = 49 units
Step-by-step explanation:
in parallelogram RSTU , the diagonals bisect each other, then
TV = RV , that is
3y - 17 = y + 27 ( subtract y from both sides )
2y - 17 = 27 ( add 17 to both sides )
2y = 44 ( divide both sides by 2 )
y = 22
Then
RV = y + 27 = 22 + 27 = 49 units
prove that 151^3-25^3 is divisible by 126
Rewrite the following in radical form
X^-11/3
Answer:
1/3x^11
Step-by-step explanation:
1/3x^11 is the answer
i need help, i don’t understand
Answer:
x = 2; y = 10
Step-by-step explanation:
y = 5x
2x + 3y = 34
You have a system of equations. Since the first equation is already solved for y, we can easily use the substitution method. Substitute 5x for y in the second equation.
2x + 3y = 34
2x + 3(5x) = 34
2x + 15x = 34
17x = 34
x = 2
Now substitute 2 for x in the first equation.
y = 5x
y = 5(2)
y = 10
Solution: x = 2; y = 10
A 12 pack of diet soda has dimensions 4.75in and 28.5in whats the volume of the 12 pack round to the nearest ten
Answer:
\(Volume = 643.0\ in^3\)
Step-by-step explanation:
Given
Dimension: 4.75in, 4.75in and 28.5in
[The complete dimension is missing from the question]
Required
Calculate the volume
The volume is calculated as thus:
\(Volume = 4.75in * 4.75in * 28.5in\)
\(Volume = 643.03125in^3\)
\(Volume = 643.0\ in^3\) --- approximated
If n is any positive 2-digit integer, what is the greatest positive integer that must be a factor of n(n+1)(n+2)(n+3)?
Step-by-step explanation:
Notice that in n(n + 1)(n + 2)(n + 3):
Exactly 2 of them are multiples of 2,
At least 1 of them is a multiple of 3, and
At least 1 of them is a multiple of 4.
Since one of the multiples of 2 is already counted in the multiple of 4 we can ignore it.
Hence we have 2 * 3 * 4 = 24.
The greater positive integer that must be a factor is 24.
One of the legs of a right triangle measures 15 cm and the other leg measures 6 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
16.2
Step-by-step explanation:
15^2+6^2 = 261
square root of that is 16.15549442
Answer:
90cm
Step-by-step explanation:
15^2 + 6^2 = c^2
c^2 = 8100
c = 90
HOPE THIS HELPS!!!
find a b, 2a 3b, |a|, and |a − b|. a = i 5j − 4k, b = −2i − j 6k
The values are:b = -2i - j + 6k, 2a = 2i + 10j - 8k, 3b = -6i - 3j + 18k, |a| = sqrt(42), |a - b| = sqrt(145).
To find the values of b, 2a, 3b, |a|, and |a - b|, substitute the given values of a and b into the equations.
Given:a = i + 5j - 4k
b = -2i - j + 6k
1. b:
Substituting the values of b:b = -2i - j + 6k
2. 2a:
Multiply each component of a by 2:2a = 2(i + 5j - 4k)
= 2i + 10j - 8k
3. 3b:
Multiply each component of b by 3:3b = 3(-2i - j + 6k)
= -6i - 3j + 18k
4. |a|:
Calculate the magnitude of a using the formula:|a| = sqrt((i)^2 + (5j)^2 + (-4k)^2)
= sqrt(1 + 25 + 16)
= sqrt(42)
5. |a - b|:
Calculate the magnitude of the vector (a - b):|a - b| = |(i + 5j - 4k) - (-2i - j + 6k)|
= |3i + 6j - 10k|
= sqrt((3)^2 + (6)^2 + (-10)^2)
= sqrt(9 + 36 + 100)
= sqrt(145)
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An interior designer wants to decorate a newly constructed house. The function f (x) = 49x2 – 200 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g of x equals one seventh times x represents the number of rooms the interior designer decorates, where x is the number of hours he works.
Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. (5 points)
Part B: If the newly constructed house requires 50 hours of work, how much will the interior designer earn? Show all necessary calculations. (5 points)
Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work. (5 points)
If he works for 50 hours, then he would win $1,875 for 50 hours of work. The difference quotient is equal to \(2^x\).
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have been given a function as; f (x) = 49x² – 200
Where f(x) is the amount of money that he wins for decorating x rooms.
g(x) = \((1/7)^x\)
Here, the number of rooms that he decorates in x hours.
So the revenue as a function of time can be given by evaluating f(x) in g(x).
A) we get;
f( g(x)) = 49\((1/7)^x\)² – 200 = x² - 200
r(x) = x² - 200
If he works for 50 hours, we need to replace x by 50 in the revenue equation:
r(50) = 50^2 - 200 = 1,875
thus he would win $1,875 for 50 hours of work.
The difference quotient is equal to \(2^x\).
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Answer:
Part A: r(x)=x^2-200, the designer will make $2300
Part B:If the designer works 50 hours, they will earn $2300
Part C: The difference of quotient is r(x)= 2^x
Step-by-step explanation:
The above answer is wrong, the answer is for a similar equation!!
I would suggest using QuickMath to break down equations step by step, hope this helps. :)
I figured out the other missing numbers I just can’t find 4 and 5 I don’t get it.
Answer:
I believe that 4 is 62 and 5 is 70
Step-by-step explanation:
Suppose a business records the following values each day the total number of customers that day (X) Revenue for that day (Y) A summary of X and Y in the previous days is mean of X: 600 Standard deviation of X: 10 Mean of Y: $5000, Standard deviation of Y: 1000 Correlation r= 0.9 Calculate the values A,B,C and D (1 mark) Future value of X Z score of X Predicted y average of y+ r* (Z score of X)* standard deviation of y 595 A B 600 0 $5000 D 615 IC You will get marks for each correct answer but note you are encouraged to show working. If the working is correct but the answer is wrong you will be given partial marks
The predicted values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350, therefore, the correct option is IC.
Given,
Mean of X = 600
Standard deviation of X = 10
Mean of Y = $5000
Standard deviation of Y = 1000
Correlation r= 0.9
Future value of X = 595
Z score of X = (X- Mean of X) / Standard deviation of X= (595-600) / 10 = -0.5
Using the formula, Predicted y = average of y+ r* (Z score of X)* standard deviation of y
Predicted y = $5000 + 0.9 * (-0.5) * 1000 = $4750
The predicted value of Y for X = 595 is $4750.
Now, to find the values of A, B, C, and D; we need to calculate the Z score of X = 615 and find the corresponding predicted value of Y.
Z score of X = (X- Mean of X) / Standard deviation of X= (615-600) / 10 = 1.5
Predicted y = average of y+ r* (Z score of X)* standard deviation of y
Predicted y = $5000 + 0.9 * (1.5) * 1000 = $6350
The predicted value of Y for X = 615 is $6350.
Hence, the values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350
Therefore, the correct option is IC.
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use what you know about prisms to describe a pentagonal prism. include information about faces, edges, and vertices in your description.
The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.
A pentagonal prism is a prism with five rectangular sides and two top and bottom pentagonal bases. With 7 faces, 10 vertices, and 15 edges, it is a particular form of heptahedron. A pentagonal prism can have five sides due to its pentagonal bases. The pentagonal prism is also called Five-sided polygon prism in other name.
The pentagonal prism is a prism with five rectangular sides and two pentagonal base
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Answer:
The bases of a pentagonal prism are two identical pentagons. It features five rectangle-shaped faces. The prism has ten vertices and fifteen edges.
Step-by-step explanation:
hope this helped!
Which equation has infinitely many solutions?
A.
B.
C.
D.
You didn't include the equations.
Answer:
b.
give me a brainlist
Step-by-step explanation:
Sammies room is 20 feet long and 12 feet wide her parents want to cover the floor with tiles. If they choose to use tiles with with side 2 feet long how many tile would they need
Find the area of the room by multiplying the length by the width:
Area of room = 20 x 12 = 240 square feet.
Find the area of the tile: 2x 2 = 4 square feet.
To find the number of tiles divide the area of the room by the area of a tile:
240/4 = 60
They will need 60 tiles.
Answer:
120
Step-by-step explanation:
20*12=240
240/2=120
How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)
Answer:
2(4)-3+5
Step-by-step explanation:
8-3+5
13-3
10
Answer:
i would say a
Step-by-step explanation:
help plss c:
a family wishes to determine the distance from their home to the nearest park. on a coordinate grid, the house sits at (0,0), and the park at (16,11)
using 1 unit = 10 yards, which vector represents the path from the house to the park, and what is the actual distance between them?
Answer:
components: {16,11}, distance: 194.16 yards
Step-by-step explanation:
to find the length of a point to another point that has different y and x points you use the pythagorean theorem (a^2 + b^2 = c^2)
16 and 11 are the distances from her house
16^2 + 11^2 = c^2
c^2 = 377
c = 19.416...
but we dont stop here
we have to convert this to yards by multiplying it by ten
19.416 * 10 = 194.16 yards
Answer:
B
Step-by-step explanation:
Just did the test
scarlett is younger than nasim. their ages are consecutive integers. find scarlett's age if the sum of scarlett's age and 5 times nasim's age is 185.
Given ages represent the consecutive integers and sum of Scarlett's age and five times Nasim age is 185 , then Scarlett age is equal to 30 years.
As given in the question,
Age represents the consecutive integers and Scarlett age is less than Nasim's age.
Let 'x' represent the age of Scarlett
And ' x + 1' represents the age of Nasim
As per the given condition of their ages we have,
x + 5 ( x + 1 ) = 185
⇒ x + 5x + 5 = 185
⇒ 6x + 5 = 185
⇒ 6x = 185 - 5
⇒ 6x = 180
⇒ x = 180 / 6
⇒ x = 30 years
Therefore, for the given ages represent the consecutive integers and sum of Scarlett's age and five times Nasim age is 185 , then Scarlett age is equal to 30 years.
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Which statements describe a triangular prism? Select three options. It has one base. It has two bases. It has three lateral faces. It has four lateral faces. Its lateral faces are rectangular.
The statements that describe a triangular prism are:
It has one base. It has three lateral faces. Its lateral faces are rectangular.What is a triangular prism?A triangular prism is a three-dimensional object that is made up of one base that has the shape of a triangle and three lateral sides that have the shape of a rectangle. A triangular prism has 5 faces, 9 edges and 6 vertices.
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Paige and Olivia made 80 muffins. They put all the muffins into 13 boxes, but had 2 that did not fit in the boxes. How many muffins are in each box?
Step-by-step explanation:
There are 2 muffins in each box
please answer it’s a timed test
Answer:
i may be wroung but it should be 90
Step-by-step explanation:
Answer:
x=35
Step-by-step explanation:
The sum of angles in a triangle is equal to 180. In the triangle given, we have to add all the angles to find x.
So,
\(3x+x+40=180\)
to find x, we must isolate it:
combine common terms:
\(4x+40=180\)
subtract the 40 to both sides:
\(4x+40-40=180-40\)
divide by three to isolate the variable:
\(4x/4=140/4\)
and the resulting would be our x:
\(x=35\)
to check if our answers make sense, substitute.
\(3(35)+35+40=180\)
solve:
\(180=180\)
that's it! hope it helps :)
Question 9 of 10
Which describes the graph of y = (x + 7)2 - 9?
=
O A. Vertex at (7.-9)
B. Vertex at (7,9)
C. Vertex at (-7, -9)
D. Vertex at (-7,9)
SUBMIT
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
y = (x + 7)² - 9 ← is in vertex form
with h = - 7 and k = - 9
vertex = (- 7, - 9 )
A survey of 80 students found that 24 students both play in a band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.
A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries 24, d, g. Column 3 is labeled do not play a sport with entries b, 22, h. Column 4 is labeled total with entries 48, f, 80.
Determine what each letter in the table should be to complete this two-way table.
b =
d =
f =
g =
Its, 4 + 6 + 10 + 1 = 21
Answer:
b = 24
d = 10
f = 32
g = 34
h = 46
Step-by-step explanation:
From the given table we find that students who are in band = 48
So 24 + b = 48
b = 48 - 24
b = 24
Total students who do not play sports = h
And h = students in band + students not in band
h = b + 22
h = 24 + 22 = 46
h = 46
Total students who play sports and who do not play sports = 80
g + h = 80
g + 46 = 80
g = 80 - 46 = 34
g = 34
Total students who are not in band and not in band = 80
48 + f = 80
f = 80 - 48
f = 32
Students who are not in Band but either play sports or do not play sports = f
d + 22 = f
d + 22 = 32
d = 32 - 22 = 10
d = 10
The length of a rectangle is 3 inches longer than it is wide. If the area is 108 square inches, what are the dimensions of the rectangle
Answer:
width = 9 inches , length = 12 inches
Step-by-step explanation:
let width be w then length = w + 3
area (A) of a rectangle is calculated as
A = length × width
= (w + 3) × w = w(w + 3) = w² + 3w
given A = 108 , then
w² + 3w = 108 ( subtract 108 from both sides )
w² + 3w - 108 = 0 ← in standard form
(w + 12)(w - 9) = 0 ← in factored form
equate each factor to zero and solve for w
w + 12 = 0 ⇒ w = - 12
w - 9 = 0 ⇒ w = 9
however, w > 0 , so w = 9 and w + 3 = 9 + 3 = 12
then width = 9 inches and length = 12 inches
Find the particular solution that satisfies the differential equation and the initial condition. f''(x) = sinx.
The particular solution that satisfies the differential equation and the initial condition f(0) = a is: f(x) = -sin(x) + C1x + a.
To find the particular solution that satisfies the differential equation f''(x) = sin(x) and an initial condition, we need to integrate the equation twice and apply the initial condition.
1. First Integration:
Integrating the differential equation f''(x) = sin(x) with respect to x once gives us:
f'(x) = -cos(x) + C1
where C1 is the constant of integration.
2. Second Integration:
Integrating f'(x) = -cos(x) + C1 with respect to x again gives us:
f(x) = -sin(x) + C1x + C2
where C2 is another constant of integration.
3. Applying the Initial Condition:
To apply the initial condition, we need to use the given information about the problem. Let's say the initial condition is given as f(0) = a, where 'a' is a specific value.
Substituting x = 0 and f(x) = a into the equation, we get:
a = -sin(0) + C1(0) + C2
a = 0 + 0 + C2
C2 = a
Therefore, the particular solution that satisfies the differential equation and the initial condition f(0) = a is:
f(x) = -sin(x) + C1x + a
In this particular case, the initial condition f(0) = a determines the value of the constant C2, which becomes C2 = a. The resulting particular solution incorporates the constant C1 from the first integration and the constant a from the initial condition.
Note that without a specific initial condition or boundary condition, the constants C1 and C2 remain arbitrary and can be adjusted to fit different situations or additional information if provided.
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Which of the following is an example of a nonterminating nonrepeating decimal
Answer:
The answer is D.
Step-by-step explanation:
Hayley learned a total os 13 appetizer recipes over the course of three weeks of culinary school. how many weeks does she need to complete to have learned 21 appetizers ?
Answer:
5 would be the answer.
Step-by-step explanation:
13 divided by 3(weeks) = 4.3
4.3 x 5 = 21.
= 5.
required parameters. (e) Write the complex number 5+2i in the exponential form Aeie. (f) A spring-mass system has a natural period of 0.31 second. Calculate the new period if the spring constant is increased by 60%.
(e) The complex number 5+2i in exponential form is (\sqrt{29}e^{i\text{tan}^{-1}\left(\frac{2}{5}\right)}\).
(f) The new period is \(0.31\sqrt{\frac{m}{1.6k}}\) when the spring constant is increased by 60%.
(e) To convert a complex number to exponential form, we need to determine its magnitude and argument. For the complex number 5+2i, the magnitude is given by the formula \(A = \sqrt{{\text{Re}}^2 + {\text{Im}}^2}\) where Re and Im represent the real and imaginary parts, respectively. In this case, the magnitude is \(\sqrt{5^2 + 2^2} = \sqrt{29}\).
The argument, \(\theta\), can be found using the formula \(\theta = \text{tan}^{-1}\left(\frac{{\text{Im}}}{{\text{Re}}}\right)\). For 5+2i, the argument is \(\text{tan}^{-1}\left(\frac{2}{5}\right)\).
Thus, the complex number 5+2i in exponential form is \(Ae^{i\theta} = \sqrt{29}e^{i\text{tan}^{-1}\left(\frac{2}{5}\right)}\).
(f) The period of a spring-mass system is determined by the mass and the spring constant. If the spring constant is increased by 60%, we can calculate the new period using the formula \(T' = T\sqrt{\frac{m}{k'}}\).
Given the original period \(T = 0.31\) seconds and an increase in the spring constant by 60%, we have \(k' = 1.6k\) where \(k\) is the original spring constant.
Substituting the values into the formula, the new period is \(T' = 0.31\sqrt{\frac{m}{1.6k}}\).
Increasing the spring constant causes the spring to become stiffer, resulting in a shorter period. The new period, \(T'\), will be less than the original period \(T\) due to the increased stiffness of the spring.
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Solve the quadratic formula 3x^2+x-5=0
Answer:
x=(1+sqrt(61))/6=1.468
Step-by-step explanation: