Answer:
multiply it by .12 then it says for 12 months, multiply it by 12 then
Step-by-step explanation:
The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set.
The number of elements in C(A) ∩ C(B) = 8
A set called an intersection B has components that are found in both sets A and B. The intersection of sets A and B is shown by the symbol, which is interpreted as "An intersection B" and written as AB. The set of components shared by all sets is the intersection of two or more sets. By looking at the elements that are present in both A and B, AB may be simply established.
\(A^c=c(A)\ and\ B^c=c(B)\)
The Complement of A = Universal Set - A
The Complement of B = Universal Set - B
The intersection of C(A) ∩ C(B)
n(A)= 11 + 8 + 1+4= 24
n(B)=8+1+15+9=33
n(U)= 11+8+4+1+9+15+8=56
We know that By De- morgan law.
C(A) ∩ C(B) = c(A∪B)
A∪B=11+8+1+4+9+15==48
C(A) ∩ C(B) = c(A∪B)=n(U)-A∪B
C(A) ∩ C(B)=56-48=8
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Jenna picked a pumpkin at the pumpkin patch that weighed 8 and 1 half pounds, Her little sister, sandy, picked a pumpkin that weighed one half of that amount, how much did sandys pumpkin weigh
Answer:
4 pounds and 1/4 ounces
Step-by-step explanation:
8 and 1 half pounds = 8.5 Ibs
One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4 or 4Ibs 4 ounces.
Atmospheric pressure decreases by about 12% for every kilometer you climb. The pressure at sea levelis about 1013 atmospheres.20. Construct a model to represent the atmospheric pressure at a given altitude in kilometers.21. How many atmospheres of pressure will you feel at 5.895 km? (Top of Mt. Kilimanjaro) (round to the nearestatmosphere)22. How many atmospheres of pressure will you feel at 8.848 km? (Top of Mt. Everest) (round to the nearestatmosphere)23. How many atmospheres of pressure will you feel at 0.383 km? (highest point in Indiana) (round to the nearestatmosphere)
20) We have to model the variation of the atmospheric pressure with the height.
We know that it is 1013 atm at sea level and it decreases by 12% for every kilometer climbed.
Then, we can consider the sea level to be h = 0.
We then will have a pressure P(0) = 1013.
We can also relate the pressures with one kilometer of difference as:
\(\begin{gathered} P(h+1)=P(h)-0.12P(h) \\ P(h+1)=(1-0.12)\cdot P(h) \\ P(h+1)=0.88\cdot P(h) \\ \frac{P(h+1)}{P(h)}=0.88 \end{gathered}\)We can model this type of relations with an exponential model:
\(P(h)=A\cdot b^h\)We then have to find the values of parameters A and b.
We then start with A, that will correspond to the initial value of P, as:
\(P(0)=A\cdot b^0=A=1013\)Then, we can calculate b as:
\(\begin{gathered} \frac{P(h+1)}{P(h)}=0.88 \\ \frac{A\cdot b^{h+1}}{A\cdot b^h}=0.88 \\ b^{h+1-h}=0.88 \\ b^1=0.88 \end{gathered}\)Then, b = 0.88 and we can write the model as:
\(P(h)=1013\cdot0.88^h\)21) We can calculate the pressure when h = 5.895 km using the model as:
\(\begin{gathered} P(5.895)=1013\cdot0.88^{5.895} \\ P(5.895)\approx1013\cdot0.4707 \\ P(5.895)\approx477 \end{gathered}\)22) We now have to calculate the pressure for the top of the Mt. Everest (h = 8.848 km):
\(\begin{gathered} P(8.848)=1013\cdot0.88^{8.848} \\ P(8.848)\approx1013\cdot0.3227 \\ P(8.848)\approx327 \end{gathered}\)23) We finally have to calcualte the pressure for h = 0.383:
\(\begin{gathered} P(0.383)=1013\cdot0.88^{0.383} \\ P(0.383)\approx1013\cdot0.9522 \\ P(0.383)\approx965 \end{gathered}\)Answer:
20) The model is P(h) = 1013*0.88
help pls, take your time as well
Answer:
D
Step-by-step explanation:
The perimeter is 54.6.
a + 3a + b = 54.6. since a = 8.7,
8.7 + 3(8.7) + b = 54.6
8.7 + 26.1 + b = 54.6
34.8 + b = 54.6
b = 54.6 - 34.8
b = 19.8
They pretty much have the exact same examples in the instruction videos with different numbers; it helps to watch the videos again.
Tim bought a certain number of bags of chips that each cost $1.05. Write an expression to show the total cost.
x is the number of bags of chips
1.05x means "1.05 times x". You could write 1.05*x or omit the multiplication symbol all together.
For example, if he bought x = 100 bags then he would spend 1.05*x = 1.05*100 = 105 dollars.
help me please, im stumped
Answer:
your not stupid don't doubt your self
Answer:
answer is 10....that was simple
Step-by-step explanation:
as we know both the Δ were congruent, then CPCT will also be equal
angle b = angle q
that means 3v + 4 = 8v - 6
6 + 4 = 8v - 3v
10 = 5v
10/5 = v = 2
put the value of v = 2 and u'll get 10
Solve for the value of q
Answer:
\(q=45\)
Step-by-step explanation:
Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:
\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)
6a^(3)+2a^(2)-8a-9-8a^(3)-a^(2)-6a+1
Answer:
\(-2a^3+a^2-14a +8\)
Step-by-step explanation:
Given
\(6a^3+2a^2-8a-9-8a^3-a^2-6a+1\)
Required
Simplify
\(6a^3+2a^2-8a-9-8a^3-a^2-6a+1\)
Collect Like Terms
\(-8a^3+6a^3-a^2+2a^2-8a-6a-9+1\)
\(-2a^3+a^2-14a +8\)
A soccer ball travels upward from a height of 11 feet with an initial velocity of 20
feet per second. The quadratic function h (t) = -16t² + 20t+11 models the height
of the ball, where h (t) is the height, in feet, of the soccer ball and t is the time that
ball has been in the air, in seconds. When is the soccer ball above 15 feet?
A. The soccer ball is above 15 feet between 0 seconds and 0.5 second.
B. The soccer ball is above 15 feet between 0.5 second and 1 second.
C. The soccer ball is above 15 feet between 0:25 second and 1
second.
D. The soccer ball is above 15 feet between 0 seconds and 0.25 second.
The soccer ball is above 15 feet between 0.25 seconds and 1 second.
To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.
Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:
-16t² + 20t + 11 > 15
Subtracting 15 from both sides:
-16t² + 20t - 4 > 0
Simplifying further:
-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0
Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).
Setting each factor greater than zero and solving for t:
t - 1 > 0 => t > 1
4t - 1 > 0 => 4t > 1 => t > 1/4
So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.
Therefore, the soccer ball is above 15 feet for t > 1 second.
The correct answer is:
C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.
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In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
Points X, Y, and Z are on the sides QR , PR, and PQ respectively, of right triangle PQR such that PZXY is a square. If PQ=1 and PR=1, then what is the side length of the square?
Answer:
Step-by-step explanation:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Triangles PQR and ZQX are similar!
Square side => a
XZ / (PQ - PZ) = PR / PQ
a / (12 - a) = 8 / 12
a = 4.8
The side length of the square PZXY is sqrt(2).
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
Since triangle PQR is a right triangle, we can use the Pythagorean theorem to find the length of QR:
QR² = PQ² + PR²
QR² = 1² + 1²
QR² = 2
QR = √2
Since PZXY is a square, its sides are equal in length.
Let's denote the length of one side of the square as s.
Then, we can write:
PR = PX + RX
1 = s + QY
Since QY = PZ = s and PX = QX = QR - QY = sqrt(2) - s,
we can substitute these values into the equation for PR to get:
1 = s + (√2 - s)
1 = √2
Therefore,
The side length of the square PZXY is √2.
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write the data in eighths, by using equivalent fractions. 3, 1 3/4, 2 1/4 , 1 1/2, 2 1/4, 2 7/8
The data in eighths is: 24/8, 14/8, 18/8, 12/8, 18/8, 23/8.
What are equivalent fractions?
Equivalent fractions are different fractions that represent the same value. Two fractions are equivalent if they have the same overall value or magnitude, even though they may appear differently.
To write the data in eighths, we need to convert each fraction into an equivalent fraction with a denominator of 8. Here's how we can do it:
3 can be written as 24/8 (since 3 = 3 x 8/8 = 24/8)
1 3/4 can be written as 14/8 (since 1 3/4 = 4/4 + 3/4 = 8/8 + 3/4 = 14/8)
2 1/4 can be written as 18/8 (since 2 1/4 = 16/8 + 2/8 = 18/8)
1 1/2 can be written as 12/8 (since 1 1/2 = 8/8 + 4/8 = 12/8)
2 1/4 can be written as 18/8 (same as above)
2 7/8 can be written as 23/8 (since 2 7/8 = 16/8 + 7/8 = 23/8)
Therefore, the data in eighths is: 24/8, 14/8, 18/8, 12/8, 18/8, 23/8.
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There are 15 pieces of fruit in a fruit bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples
Answer:
40%
Step-by-step explanation:
6x100=600/15=40
–10 • 2 ÷ (–4) + 8 • 5
25
35
45
65
Answer:
The answer is 35
Can I have brainliest
Answer:
the answer is 45.
Identify all equivalent expressions for:
Answer:
1st and 3rd choices
Step-by-step explanation:
4 x 2 x g⁻³⁺⁴ = 8g
(4x2xgxgxgxg) / (gxgxg)
In 3x + 5y - 6 the coefficient of y is ?
59 less than twice Mabel's score
Answer:
Mabel's score = s
2s-59
Step-by-step explanation:
I HOPE MABEL HAS A NICE GRADE
Is it Mabel from Gravity Falls?
lol
PLEAS ANSWER ASAP I WILL GIVE BRIAINLYIST
The coordinates of the vertices of a polygon are (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1).
What is the perimeter of the polygon to the nearest tenth of a unit?
A.16.0 units
B.17.2 units
C.15.4 units
D.18.8 units
The perimeter of the polygon, with the specified coordinate points , found using Pythagorean Theorem iis approximately 16 units
What is the Pythagorean Theorem?The Pythagorean Theorem indicates that the square of the distance between points on the coordinate plans is the sum of the square of the horizontal and vertical distances between the point.
The coordinates of the vertices of the polygon are;
(-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1)
The length of the sides are therefore;
3 - 1 = 2,
√((-1 - (-3))² + (5 - 3)²) = 2·√2
√((2 - (-1))² + (4 - 5)²) = √(10)
4 - 1 = 3
2 - (-3) = 5
The perimeter is therefore;
2 + 2·√2 + √(10) + 3 + 5 ≈ 16
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Which expressions are equivalent to this expression?
4x + 4
Select each correct answer.
2(2x + 2)
4(x +4)
x + 3x + 4
2x + 1 + 2x + 3
Answer:
x + 3x + 4
2(2x+2)
2x + 1 + 2x + 3
Step-by-step explanation:
Have a nice day!
identify which equations have one solution, infinitely many solutions, or no solution 3u+40+2u=6u-30-u
Answer:
I did the math there is no answer
Write an equation of the line that is parallel to y = 1/2x + 3 and passes through the point (2,-4). A) y = 1/2x-4 - 15 B) y = -2x-4 + 15 C) y = -2x-5 D) y = 1/2x - 5
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form
with slope m = \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
to find c substitute (2, - 4 ) into the partial equation
- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )
- 5 = c
y = \(\frac{1}{2}\) x - 5 ← equation of parallel line
Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
It costs 12 dollars for 8 hot dogs. )
What is the price of one hot dog?
Hot dogs 8
Dollars 12
Answer:
$1.50
Step-by-step explanation:
$12, the amount of money divided by 8, the number of hot dogs, equals $1.50, the amount for 1 hot dog.
what is two cubed and then divided by 4?
Answer:
2
Step-by-step explanation:
2 cubed is 8, then divided by 4 is 2
shron spent 1 1/4 hours reading her book report and 2 2/5 hours doing her other homework. how much longer did sharon spent doing her homework than reading her book report
sharon spent 23/20 hour doing her homework than reading.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Sharon spent reading the book = \(1 \frac{1}{4}\) = 5/4 hours
= 25/20 hours
Sharon spend doing homework = \(2 \frac{2}{5}\) = 12/5 hours
= 48/20 hours
So, the difference between both activities
= 48/20- 25/20
= 23/20
Hence, sharon spent 23/20 hour doing her homework than reading.
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On a graph, points are grouped to form a line with positive slope. Points (3, 9), (7, 1) and (11, 2) are not on the line.
Which points would be considered outliers?
Check all that apply.
(3, 9)
(4, 4)
(6, 5)
(7, 1)
(8, 7)
(11, 2)
none
Answer:
may i have brainiest please
Step-by-step explanation:
Answer:
the person above me or below me is correct
Step-by-step explanation:
Given a dataset with the following properties:
mean = 50
median = 40
standard deviation = 5
What is the shape of the distribution?
Answer:
The distribution is positively skewed.
Step-by-step explanation:
A measure of skewness is defined in such a way that the measure should always be zero when the distribution is symmetric and measure should be a pure number i.e independent of origin and units of measurement.
The shape of the distribution can be found by finding the coefficient of skewness.
The coefficient of skewness can be found by
Sk= 3(Mean-Median)/ Standard Deviation
Sk= 3( 50-40)5= 30/5=6
The shape will be positively skewed.
In a positively skewed distribution the mean > median > mode. It has a long right tail.
Using the skewness formula, it is found that the distribution is right-skewed.
------------------
The skewness of a data-set with mean M, median \(M_e\) and standard deviation s is given by:\(S = \frac{3(M - M_e)}{s}\)
If |S| < 0.5, the distribution is said to be symmetric.If S <-0.5, the distribution is left-skewed.If S > 0.5, the distribution is right-skewed.------------------
Mean of 50, thus, \(M = 50\)Median of 40, thus \(M_e = 40\)Standard deviation of 5, thus, \(s = 5\)The coefficient is:
\(S = \frac{3(M - M_e)}{s} = \frac{3(50 - 40)}{5} = \frac{30}{5} = 6\)
Thus, the distribution is right-skewed.
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the equation of the line please
Answer:
x = 4
Step-by-step explanation:
The line is a vertical line. The equation of a vertical line is represented as x = k.
Where, k is the point at where the line intercepts the x-axis.
In the graph given, the line intercepts the x-axis at 4. k = 4.
Therefore the equation of the vertical line would be:
x = 4
There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. a. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club.
x=___+____
__x+___y=64
The system of linear equations that represents the given situation is
x = y + 10
x + y = 64
Writing a system of linear equationFrom the question, we are to write a system of linear equations that represents the given situation
From the given information,
"There are a total of 64 students in a drama club and a yearbook club"
Then, we can write that
x + y = 64
Also,
"The drama club has 10 more students than the yearbook club"
Then, we can write that
x = y + 10
Hence, the system of equations is
x = y + 10
x + y = 64
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