Answer:
8 elements
Step-by-step explanation:
From the question given above, the following data were obtained:
Universal set (S) = 132
Set A = 63
Set B = 35
n(AuB)ᶜ = 89
n(A but not in B) =?
Next, we shall determine the number of elements common to both set A and Set B. This can be obtained as follow:
Let the number common to both set A and B be x i.e
(AnB) = x
nA = 63
nB = 35
n(AuB)ᶜ = 89
Universal set (S) = 132
S = nA + nB + n(AuB)ᶜ – (AnB)
132 = 63 + 35 + 89 – x
132 = 187 – x
Collect like terms
132 – 187 = – x
– 55 = – x
Divide both side by –1
x = –55 /–1
x = 55
Thus, the number of elements common to set A and B is 55.
Finally, we shall determine the number of elements in A but not in B as follow:
nA = 63
n(AnB) = 55
n(A but not in B) =?
n(A but not in B) = nA – n(AnB)
n(A but not in B) = 63 – 55
n(A but not in B) = 8
Thus, 8 elements are in set A but not in set B.
If f ( x ) = 2x - 3 and g ( x ) = x 2,
find g ( f ( x ) )
Select one:
a. 4x 2 - 9
b. 4x 2 - 12x + 9
c. 2x 2 - 3
Answer:
[tex]g(f(x)) = g(2x - 3) = {(2x - 3)}^{2} \\ =\boxed{4 {x}^{2} - 12x + 9}[/tex]
b. is the right answeris (-2+x)-(3x-8) equivalent to -2x+4
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true.
Brainly pls?
Answer:
No, it's not equivalent to it.
Step-by-step explanation:
[tex]( - 2 + x) - (3x - 8) = - 2 + x - 3x + 8 \\ = 6 - 2x = - 2x + 6[/tex]
6 - 3w = -27
I need help on this I don’t get it
25% of a number is 8.
What is the original number?
Answer:
B. 32
Step-by-step explanation:
25% is 1/4 of 100%, so you multiply 8 by 4.
Dividing by 3 is the inverse of multipiying by 3.
Yes that is indeed correct
Can someone please help me get this answer correct?
Answer:
I'm pretty sure that would be a rectangle
Step-by-step explanation:
I just graphed it
Solve forx: -6 < x - 1 < 9
Answer:
-5< X <10
Step-by-step explanation:
-6+1 < x < 9+1
-5 < x < 10
Answer:
- 5 < x < 10
Step-by-step explanation:
Given
- 6 < x - 1 < 9 ( add 1 to all 3 intervals )
- 5 < x < 10
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:
[tex]V = V_{cy}-V_{pr }[/tex] (1)
[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]
[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)
Where:
[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.
[tex]l[/tex] - Side of the square prism, measured in centimeters.
[tex]h[/tex] - Height of the square prism, measured in centimeters.
If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:
[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]
[tex]V \approx 16.690\,cm^{3}[/tex]
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?
Answer: Atleast 7
Step-by-step explanation:
In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.
the answer is 7
Step-by-step explanation:
7×10=70-60=10
what is the degree of the polynomial -x^4+10x^3+x-7
Answer:
7
Step-by-step explanation:
You can find the degree of a polynomial by adding all of the exponents on a specific variable.
It says round all calculations to one decimal point
Pls show workings it due in a hour
Answer:
[tex]2\sqrt{5}+\sqrt{29}+\sqrt{53},\\\approx 17.14\:\mathrm{units}[/tex]
Step-by-step explanation:
The distance between two coordinates is given by:
[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}[/tex], or [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].
The distance between each of the coordinates of the triangle forms the sides of triangle. Therefore, we can add the distance between these coordinates to find the perimeter of the triangle.
The distance between [tex](3, -2)[/tex] and [tex](7, 0)[/tex] is:
[tex]d=\sqrt{(7-3)^2+(0-(-2))^2}=\sqrt{4^2+2^2}=\sqrt{20}=2\sqrt{5}[/tex]
The distance between [tex](3, -2)[/tex] and [tex](5, 5)[/tex] is:
[tex]d=\sqrt{(5-3)^2+(5-(-2))^2}=\sqrt{2^2+7^2}=\sqrt{53}}[/tex]
[tex]d=\sqrt{(7-5)^2+(0-5)^2}=\sqrt{2^2+5^2}=\sqrt{29}[/tex].
Therefore, the total perimeter of the triangle is:
[tex]\fbox{$2\sqrt{5}+\sqrt{29}+\sqrt{53}\:\checkmark$}[/tex].
Simplify -3x^2-5x^2(4x^3-x^2)2
Let's simplify step-by-step.
−3x2−5x2(4x3−x2)(2)
Distribute:
=−3x2+−40x5+10x4
Answer:
=−40x5+10x4−3x2
The relative frequency table shows the results of a survey in which parents were asked how much time their children spend playing outside and how much time they spend using electronics. A 4-column table with 3 rows titled time spent by children. The first column has no label with entries at least 1 hour per day outside, less than 1 hour per day outside, total. The second column is labeled at least 1 hour per day using electronics with entries 2, 42, 44. The third column is labeled less than 1 hour per day using electronics with entries 14, 6, 20. The fourth column is labeled total with entries 16, 48, 64. Given that a child spends at least 1 hour per day outside, what is the probability, rounded to the nearest hundredth if necessary, that the child spends less than 1 hour per day on electronics? 0.22 0.25 0.70 0.88
Answer:
D 0.88
Step-by-step explanation:
The probability that a child spends less than 1 hour per day on electronics is 0.88.
What is probability?
This is a term that has to do with the likelihood or the chances of something occurring.
The total of spending a day outside = 16
The total of spending less than 1 hour on electronics is 14
The probability would be = 14/16
= 0.875 * 100
= 88% or 0.88
Read more on probability here: https://brainly.com/question/14736149
#SPJ2
A citrus grower purchased 25 orange trees and 20 grapefruit trees for $290. The next week, at the same prices, the grower bought 20 orange trees and 30 grapefruit trees for $330. Find the cost of an orange tee and the cost of a grapefruit tree.
Answer:
The cost of an orange tree is $ 6 while that of a grapefruit tree is $
Step-by-step explanation:
Let x be the cost of an orange tree and y be the cost of a grapefruit tree. In the first week, the citrus grower purchased 25 orange trees and 20 grapefruit trees for $290, so 25x + 20y = 290 (1).
In the next week, the grower bought 20 orange trees and 30 grapefruit trees for $330. So, 20x + 30y = 330 (2)
From (2) y = (330 - 20x)/30 = (33 - 2x)/3
substituting y into (1), we have
25x + 20[(33 - 2x)/3] = 290
multiplying through by 3, we have
75x + 20(33 - 2x) = 870
expanding the bracket, we have
75x + 660 - 40x = 870
collecting like terms, we have
75x - 40x = 870 - 660
35x = 210
dividing both sides by 35, we have
x = 210/35
x = 6
substituting x = 6 into y, we have
y = (33 - 2x)/3
= (33 - 2(6))/3
= (33 - 12)/3
= 21/3
= 7
So the cost of an orange tree is $ 6 while that of a grapefruit tree is $ 7.
Find the product.
(-7)(5) =
Answer:
-35
Step-by-step explanation:
Answer:
-35
Step-by-step explanation:
A negative times a positive is a negative number:
-7*5=-35
i dont know plz help
Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after 30 seconds?
Answer:
78.75 ?
Step-by-step explanation:
calculator..
The volume of water remain in the tank after 30 seconds is 78.75 liters.
The given parameters;
initial volume of water in Tank B, V₀ = 80 litersrate at which water is being drained, R = 2.5 liters per minute.time of water drain, t = 30 secondsThe amount of water drained after 30 seconds is calculated as follows;
[tex]V_1 =2.5 \ \frac{liters}{\min} \times \frac{1 \min}{60 \ s} \times 30 \ s\\\\V_1 = 1.25 \ liters[/tex]
The volume of water remain in the tank after 30 seconds is calculated as follows;
V₂ = V₀ - V₁
V₂ = 80 liters - 1.25 liters
V₂ = 78.75 liters
Thus, the volume of water remain in the tank after 30 seconds is 78.75 liters.
Learn more here: https://brainly.com/question/13559135
Ben rides the train to work he spends $2.75 per ride his monthly budget for riding the train is 80$ write an equation that shows the number of times N Ben can ride the train each month
Answer: 2.75N = 80
Step-by-step explanation:
Let the the number of times that Ben can ride the train each month be represented by N.
Since Ben rides the train to work he spends $2.75 per ride and his monthly budget for riding the train is $80, this will be represented in an equation as:
2.75N = 80
N = 80/2.75
N = 29 times
Solve the Equation: 2(6b + 1) = 4(b-5)-2 halp me pls, thank you
Answer:
B= -3
Step-by-step explanation:
So first distribute what you can
12b+2=4b-20-2
Now combine like terms
12b+2=4b-22
Now subtract 2 on both sides
12b=4b-24
Now subtract 4b on both sides
8b=-24
Now divide 8 on both sides
b= -3
13 more than a number Y is -7.
Answer:
m
Step-by-step explanation:
j
Answer:
-20
Step-by-step explanation
To make the sentence into an equation it would be y+13=(-17). To solve this you would need to get y by itself. To do this, you would make the equation y+13-13 , since you need to do the same thing from both sides, it would be y+13-13=(-17)-13 . Simplify the equation to make y=(-7)-13 . Counting back 13 from -7 gets you to -20 . Finally you get to y=(-20) , so the answer is -20
Which expression is equivalent to 45a+23b+18−76b−34−25a?
65a−12b−58
65a+116b+78
25a−12b−58
25a+116b+78
How many dots would be in Figure 17?
Answer:
306
Step-by-step explanation:
Given h(x) = 32
3x – 3, find h(3).
Answer:
(3×3) - 3 = 6
.
.
.
i didnt get that...wt's that 32?
Need help with this math question pls help me.
Answer:
its D
Step-by-step explanation:
You can tell because your trying to find the one that's steeper but you can see that D is pointed a little bit more down than the others
Answer:
It is D because it is the steepest
Step-by-step explanation:
Amy wants to buy a new set of paints. At store A, the cost is $22.00, and she has a coupon for 20% off. At store B, the cost is $22.50, and she has a coupon for $5 off. Which store has the better buy, and why?
Answer:
Store B
Step-by-step explanation:
Store A
20% is just 1/5 in percent form
22.00= 22*1/5 = 22/5 = 4.40
22.00-4.40=17.6
Store B
22.50-5=17.5
Now you can see that 17.5 is less than 17.6 by 0.1
While dining at yet another 5 star restaurant, which is my normal, I received the bill for $95.11 which by the way included an automatic 15% p. Because my generosity is my weakness, I wanted to leave a 20% p, instead. How much should I add to the bill to make this happen?
Answer:
$16.54
Step-by-step explanation:
First step we need to do is to find the bill without the 15% tips:
95.11 = 1.15x
x = $82.70 is the original bill
Now we can add the 20% tips and multiply it into the original:
82.70 x 1.2 = $99.24 is the new bill
To find out how much you tipped:
99.24 - 82.7 = $16.54 is your new tip
Mr. Mancillas want to purchase new reading books for his 21 students.
• Each math book cost $57.35
He paid $13.99 for delivery
What is the total amount Mr. Mancillas paid?
CARTAN
tense
А
$1,194.75
B
$1,204.35
C
$984.99
D
$1,218.34
Answer:
leter d.
Step-by-step explanation:
cause i solved it
Answer:
Step-by-step explanation: it is B because 21 X $57.35/3.99=1,204.35
Which decimal is equivalent to -31/8
Answer:
-3.875
Step-by-step explanation:
Answer:
-3.875
Step-by-step explanation:
My answer is rounded to the nearest thousandths by the way! Hope I helped.
PLS help me
this is for class, if you get it right i will give brainliest
Answer:
Yes
Step-by-step explanation:
a^2+b^2=c^2
7^2+11^2=c^2
49+121=c^2
170=c^2
then square it
c=13
7,11,13 is a pythagorean triple
Answer:
both answers you have put in are correct
Step-by-step explanation:
7^2=49
11^2=121
121+49=170
square root of 170 is the long side
not a pythagorean triple because square root of 170 does not come out as a whole number (no decimal/fraction)
is it ~13.0384
Need this one quick as well, sorry.