Answer:
As the givens set A contains 24 elements.
Therefore,
The Cardinality of the set A = 24
Step-by-step explanation:
Let the given set is A
A = {x: x is a positive counting number less 25}
The set of natural numbers is often termed as the Counting number set.
As the counting numbers are less than 25.Thus,
Set A will be:
[tex]A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}[/tex]
The Cardinality of the set
The Cardinality of the set represents the total number of elements in a given set.
As the givens set A contains 24 elements.
Therefore,
The Cardinality of the set A = 24
There are a total of 375 flamingos, parrots, herons, and chachalacas at the Famous
Bird Sanctuary. The ratio of flamingos to parrots to herons is 10:7:3, respectively.
There are twice as many flamingos as chachalacas. How many chachalacas are at the
sanctuary?
9514 1404 393
Answer:
75
Step-by-step explanation:
Since there are twice as many chachalacas as flamingos, the ratio of flamingos to parrots to herons to chachalacas is 10:7:3:5. This is a total of 25 ratio units. Each ratio unit stands for 375/25 = 15 birds, so the number of chachalacas is 5·15 = 75.
There are 75 chachalacas at the sanctuary.
Find the exact value of sec795°
Answer:
I believe the answer would be [tex]\sqrt{6}+\sqrt{2}[/tex] or 3.8637
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the area of the figure. Use 3.14 for it.
2 ft.
8 ft
3 ft
4 ft
3 ft
8 ft
Answer:
I dont know if you still need it but the area of the figure is 51.5 ft2.
The area of the given figure is equivalent to 39.5 square feet.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is to find the area of the given figure as shown in the image.
We can write the area of the given figure as -
A{total} = A{Rectangle} + A{Δ1} + A{Δ2}
A{total} = (8 x 4) + (1/2 x 3 x 3) + (1/2 x 3 x 2)
A{total} = 32 + 4.5 + 3
A{total} = 39.5 square feet
Therefore, the area of the given figure is equivalent to 39.5 square feet.
To solve more questions on areas, visit the link-
https://brainly.com/question/29213222
#SPJ2
What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
Answer:
undefined
Step-by-step explanation:
Xavier's teacher gave an extra / of a grade point for each correct bonus question on a test. Xavier answered 9 bonus questions correc
How many extra points did he earn?
Hi there! Your answer to this question would be 90%..
Step By Step Explanation:
So we know that 100% is the average grade for an correct for an entire test.
But how can we find 90%?
Let think like this. 10=100%.
Well if 10 is 100% then 9 would be 90% since every 1 of 10 is 10%.
Final Result: 90%
A sleeping bag is on sale for $14.48 and has been discounted 30%. What was the original price of
the sleeping bag?
The original price of the sleeping bag was $
Answer:
50$
Step-by-step explanation:
please help, thanks if you do :)
Answer: (4,-2)
Step-by-step explanation: step1.- -1/2x=-x+2 (solving for x) x=4
Step 2- y=-1/2x4(substitute the value of X)
Step 3- y=-1/2x4 (solve the equation for y) =2
Step 4- (x,y)=(4,-2) simplify —>(x,y)=(4,-2)
HELP ME PLEASE (50 points) picture below HELP PLEASE
Answer:
72.32
Step-by-step explanation:
i have spoken
Answer:
72.32 degrees
Step-by-step explanation:
the picture shows a supplementary angle, which equals 180 degrees.
first, solve for x.
since the entire figure equals 180 degrees, set the equation equal to 180. then add in the measurements, which are 7x, 8x, and 44.4.
180 = 7x + 8x + 44.4
combine like terms (7x and 8x).
180 = 7x + 8x + 44.4 ⇒ 180 = 15x + 44.4
subtract 44.4 from both sides. the positive 44.4 will cancel out, so all you have to do is subtract 44.4 from 180.
180 - 44.4 = 135.6
now, your equation is...
135.6 = 15x
divide both sides by 15.
(135.6)/15 = (15x)/15 ⇒ 9.04 = x, or x = 9.04
now plug 9.04 in for x in both 7x and 8x.
7x ⇒ 7(9.04) ⇒ 63.28
8x ⇒ 8(9.04) ⇒ 72.32
*the highlighted angle, 8x, is 72.32 degrees.
checking your work:
now, all your measurements are 63.28, 72.32, and 44.4
check your work by adding all the measurements together and setting that equal to 180.
63.28 + 72.32 + 44.4 = 180
180 = 180
since both sides are equal, all of the values are correct!
now that you know your work is correct, it is fully safe to say that the highlighted angle is 72.32 degrees.
can someone help me find the value of x
Answer:
x=52
Step-by-step explanation:
A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52
The saddleback Seahawks football team gained 37 yards in the first quarter of the game, they lost 88 yards in the second Quarter, lost another 105 yards in the third quarter, and gained 12 yards in the final quarter. Did they have a net gain of loss during the game. How many yards.
Please do this question, did they have a net gain of loss during the game. IT IS DUE. I will give brainlest and extra points please. MY QUESTION IS THAT: DID THEY HAVE A NET GAIN OF LOSS DURING THE GAME.
Answer:
loss, 144 yds loss
Step-by-step explanation:
Identify the expression 64^(1/2) shows the following number rewritten as a radical.
√(1/2&64)
√64
1/2 √64
8
Show your work.
Answer:
√64
Step-by-step explanation:
In mathematics, an expression involving the root (√) sign is regarded as a radical.
64^(1/2)
This is the same as;
√64
- √(1/2&64) This option is wrong.
- √64 This option is correct
- 1/2 √64 This option is wrong.
- 8 This option is wrong.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=57(0.4)^x
Answer:
Decay, 60%
Step-by-step explanation:
Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.
Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].
[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].
[tex]1-r=0.4\\r=0.6[/tex]
So, the rate of percentage decrease is 60%.
I hope this helps!
The function d = 16t2 models the distance d, in feet, that an object falls in t seconds. Find the inverse function and use the inverse function
o estimate the time it takes an object to fall 100 feet. (1 point)
Answer:
[tex]t = \frac{1}{4}\sqrt d[/tex]
Time to reach 100ft is 2.5 seconds
Step-by-step explanation:
Given
[tex]d = 16t^2[/tex]
Solving (a): Determine the inverse function
[tex]d = 16t^2[/tex]
Swap the positions of d and t
[tex]t = 16d^2[/tex]
Make d the subject
[tex]\frac{t}{16} = d^2[/tex]
Take positive square root of both sides
[tex]\sqrt{\frac{t}{16}} = d[/tex]
[tex]d = \sqrt{\frac{t}{16}}[/tex]
[tex]d = \frac{1}{4}\sqrt t[/tex]
Swap the positions of d and t
[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function
Solving (b): Find t when d =100
Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]
[tex]t = \frac{1}{4}\sqrt {100[/tex]
[tex]t = \frac{1}{4}* 10[/tex]
[tex]t = \frac{1* 10}{4}[/tex]
[tex]t = \frac{10}{4}[/tex]
[tex]t = 2.5[/tex]
Solve the following system of linear equations by graphing:
2x + 2y = 10
8x + 8y = 24
Answer:
Step-by-step explanation:
-8x - 8y = -20
8x + 8y = 24
0 ≠ 4
2y = -2x + 10
y = -x + 5
8y = -8x + 24
y = -x + 3
inconsistent
I don’t know what to do please help
Answer:
d i think can u give me a bainliest
Step-by-step explanation:
Select the statements which could describe the graph of a non proportional relationship.
A. The y-intercept is positive.
B. The y-intercept is 0.
C. The line intersects the origin.
D. The y-intercept is negative.
(can be more than one answer)*
Marsha had $4.00 in her pocket in the
morning, and Mark had $0.50. Marsha
sells her sweets for $0.25 each, and
Mark sells his for $0.50 each.
If Marsha and Mark both sold the
same number of sweets, and they
have the same amount of money at
the end of the day, how many sweets
did they each sell?
PLEASE EXPLAIN
They would both have to sell 14 candies.
Step-by-step explanation:
They both sell 14 candies
Need help with this question thanks :)
Answer:
Omar could invite 19 friends.
Step-by-step explanation:
the equation for this word problem would be
5x+30=125
subract 30 from both sides
5x=95
divide both sides by 5
x=19
Answer:
(125-30) divided by 5. Your answer is 19.
Step-by-step explanation:
subtract 30 from 125 and your left with 95. Divide 95 by 5 and you get 19.
jessica earned 70% on an exam. if she earned 14 points, what was the total number of points possible on the exam?
Answer:
20
Step-by-step explanation:
you just divid the number of points earned (14), by the percent earned (70). This gives you the total becuase you would divid 14 by the total to get 70.
19. Use the unit circle to find the value of tan 315º.
Show work pls.
Answer: -1
Step-by-step explanation:
First change tan(315) to:
[tex]\frac{\sin(315)}{\cos(315)}[/tex]
Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?
[tex]-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1[/tex]
if tantheta -cottheta =a and costheta +sintheta =b then 4b^2(2-b^2)
Answer:
= 4(1+sin2theta)²
Step-by-step explanation:
Given the equations
tantheta -cottheta =a... 1
costheta +sintheta =b .... 2
We are to find 4b^2(2-b^2)
Squaring both sides of equation 2
(costheta +sintheta)^2 = b^2
cos^2theta + 2costheta sintheta + sin^2 theta = b^2
(cos^2theta+ sin^2 theta) + 2costheta sintheta = b^2
1 + 2costheta sintheta = b^2
1 + sin2theta = b^2
substitute
4b^2(2-b^2)
= 4(1+sin2theta)(2-1+sin2theta)
4(1+sin2theta)(1+sin2theta)
= 4(1+sin2theta)²
Find the value of x.
9514 1404 393
Answer:
120°
Step-by-step explanation:
There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...
125° -90° = 35°
115° -90° = 25°
The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...
x = 180° -35° -25° = 120°
The value of x is 120°.
Answer:
not sure
Step-by-step explanation:
Determine the order pair and quadrant for each point:
A.
B.
C.
Answer:
A: (-4,1) QUAD 2
B: (-1, -3) QUAD 3
C: (2,5) QUAD 1
D: (5, -4) QUAD 4
Step-by-step explanation:
The lifetime of a certain brand of battery is normally distributed with a mean value of 8 hr and a standard deviation of 0.8 hr when it is used in a particular cassette player.Suppose that two new batteries are independently selected and put into the player. The player ceases to function as soon as one of the batteries fails.
(a) What is the probability that the player functions for at least 6 hr?
(b) What is the probability that the cassette player works for at most 9 hr?
Answer:
Step-by-step explanation: o847434y3u3u44y4u5u5u5uu6
Reflect (5,-5) in (a) the x-axis and (b) the y-axis.
Answer:
a. (5,5)
b. (-5,-5)
Step-by-step explanation:
reflection over x-axis flips the sign of y-coordinate
reflection over y-axis flips the sign of x-coordinate
Hey can someone please help me
The vertex is located at (h,k)
The two roots p and q can be defined as such
p = h-rq = h+rwhere r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.
Let's add up those two equations to get
p+q = 2h
The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.
From here, we divide both sides by 2 and we end up with
h = (p+q)/2
In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.
After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.
------------------------
Example:
Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)
Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.
So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.
Averaging these roots gives us
h = (p+q)/2
h = (2+6)/2
h = 8/2
h = 4
The x coordinate of the vertex is x = 4.
Plug this back into the original equation to find...
y = x^2 - 8x + 12
y = (4)^2 - 8(4) + 12
y = 16 - 32 + 12
y = -16 + 12
y = -4
Or you could say
y = x^2 - 8x + 12
y = (x-2)(x-6)
y = (4-2)*(4-6)
y = (2)*(-2)
y = -4
Either way, we find that k = -4 is the y coordinate of the vertex
The vertex for this example is located at (h,k) = (4, -4)
Refer to the diagram below.
Factor completely 2x^2 + 9x + 7.
A) (2x + 7)(x + 1)
B) (2x + 1)(x + 7)
C) (2x + 9)(x + 2)
D) (2x + 7)(2x + 1)
Answer:
Step-by-step explanation:
(2x + 7)(x + 1)
answer is A
Check for understanding:
Daniel has a checking account balance of $460.63. He must pay $85.23 for groceries and
$81.34 for his cell phone bill. He also received a shopping refund for $52.13. Does Daniel
have enough money to make his $264.00 car payment? Explain.
My learning notes:
Answer:
Daniel does have enough money to make this car payment
Step-by-step explanation:
Addition and Subtraction
Daniel has an initial balance of $460.63 on this checking account.
He must pay $85.23 for groceries.
The new balance is $460.63 - $85.23 = $375.40
He then pays $81.34 for his cell phone bill. The balance is now $375.40 - $81.34 = $294.06.
He receives a shopping refund of $52.13 that adds up to this balance that now is: $294.06 + $52.13 = $346.19.
Daniel has to make his $264 car payment. The balance is $346.19, thus:
Daniel does have enough money to make this car payment
How many shirts do they have altogether
Lee has 7x - 12 shirts and Bruce has
11x + 3 shirts. How many shirts do they
have altogether?
Answer:
18x - 9
Step-by-step explanation:
[tex](7x - 12) + (11x + 3)\\7x - 12 + 11x + 3\\18x - 9[/tex]
The length of the base of an isosceles triangle is x. The length of a leg is 4x - 2. The perimeter of the triangle is 95. Find x.
Answer:
x = 11
Step-by-step explanation:
sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal
perimeter is the sum of all sides, so set up equation:
95 = 4x - 2 + 4x - 2 + x
95 = 8x - 4 + x
95 = 9x - 4
99 = 9x
x = 11