Ifn(r'ns')+ n(r'ns)=3 n(r n s) = 4 & n(s'nr)= 7 find n(u).
Answer:
14
Step-by-step explanation:
You want to know the size of the universal set if ...
n(r'∩s') +n(r'∩s) = 3n(r∩s) = 4n(s'∩r) = 7UniverseThe given sets are mutually exclusive and exhaustive, so the sum of their sizes is the size of the universal set:
n(u) = 3 + 4 + 7
n(u) = 14
__
Additional comment
(r'∩s') ∪ (r'∩s) = r'∩(s' ∪ s) = r' . . . . n(r') = 3
(r∩s) ∪ (r∩s') = r∩(s ∪ s') = r . . . . . . n(r) = 4 +7 = 11
Then r' ∪ r = u, the universal set. . . . . n(u) = 3 +11 = 14
Identify two segments that are marked congruent to each other on the
diagram below. (Diagram is not to scale.)
The two congruent segments in the figure are LJ and LI.
What is congruency?
The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
In the figure, the two segments marked are LI and LJ these two segments are congruent to each other.
Congruency means the shape and the size of the segments will be equal to each other.
Hence, the two congruent segments in the figure are LJ and LI.
To learn more about congruency visit,
brainly.com/question/2938476
#SPJ1
Find the value of x that makes the quadrilateral a parallelogram?
Answer:
5
Step-by-step explanation:
since the sides of parallelogram are parallel
then 3X+3 = 4X-2 (they are equal because they are alternating angles )
3X+3 = 4X-2 subtract 3X from both sides
3 = X-2. add 2 to both sides
X= 5
Answer:
x = 5
Step-by-step explanation:
As the diagonals of a parallelogram bisect each other (divide into two equal parts):
[tex]\implies 2x+1=x+6[/tex]
[tex]\implies 4x-2=3x+3[/tex]
Solve the first equation for x:
[tex]\implies 2x+1-1=x+6-1[/tex]
[tex]\implies 2x=x+5[/tex]
[tex]\implies 2x-x=x+5-x[/tex]
[tex]\implies x=5[/tex]
Solve the second equation for x:
[tex]\implies 4x-2+2=3x+3+2[/tex]
[tex]\implies 4x=3x+5[/tex]
[tex]\implies 4x-3x=3x+5-3x[/tex]
[tex]\implies x=5[/tex]
Therefore, the value of x that makes the quadrilateral a parallelogram is:
x = 5A pump takes 20 minutes to empty a 200 gallon tank. How long to empty 450 gallon tank? a. 40 minutes, b. 30 minutes, c. 60 minutes, d. 45 minutes
5x-21=-2x+28 given
Prove x=7
i hope this helped you xx
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft Determine the flag's width and length if the length is 460 ft greater than the width.
Answer:
the flag is 50 feet long and 160 feet wide
Answer: The width is 330 feet and the length is 790 feet.
Step-by-step explanation:
We will write a system of equations to help us solve. Let w be the width and l be the length.
2w + 2l = 2,240 ft
l = 460 ft + w
Now, we will solve for w, the width, by substituting one equation into the other.
2w + 2l = 2,240 ft, l = 460 ft + w
2w + 2(460 ft + w) = 2,240 ft
2w + 920 ft + 2w = 2,240 ft
4w + 920 ft = 2,240 ft
4w = 1,320 ft
w = 330 ft
The width is 330 feet.
Now, we will solve for l, the length.
l = 460 ft + w, w = 330 ft
l = 460 ft + 330 ft
l = 790 ft
The length is 790 feet.
4/8 + 1/4
A 5/12
B 3/4
C 6/8
D 2/8
Answer:
3/4
Step-by-step explanation:
4/8 can be simplified by dividing 2 from the numerator and denominator, which equals 2/4.
This turns the equation into 2/4 + 1/4, giving you a common denominator.
Answer:
Both B & C answers are correct
Step-by-step explanation:
To solve these two fractions, 1st you have to make both the numerator and the denominator the same.
For that, you can multiply both the numerator and the denominator of 1/4 by 2.
[tex]\sf\frac{4}{8} +\sf\frac{1}{4} \\\\\sf\frac{4}{8} +\sf\frac{1*2}{4*2}\\\\\sf\frac{4}{8} +\sf\frac{2}{8}\\\\\sf\frac{6}{8}[/tex]
To write the fraction in its simplest form, divide both sides by 2.
[tex]\sf\frac{3}{4}[/tex]
17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?
Step-by-step explanation:
No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.
Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.
A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?
When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
what is rectangle ?4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.
given
Allowing for a rectangular card that is x cm long and y cm broad
The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.
L+B = L+B -2 = 2(L + B)
= 2(L-4 + B+2) = 2(L + B)
= L+B = L+B -2
Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.
To know more about rectangle visit :-
https://brainly.com/question/29123947
#SPJ1
Elijah is going to send some flowers to his wife. Kingwood Florist charges $1 per rose, plus
$20 for the vase. Anita's Flowers, in contrast, charges $3 per rose and $10 for the vase. If
Elijah orders the bouquet with a certain number of roses, the cost will be the same with
either flower shop. How many roses would there be?
Answer:
There will be 5 roses.
Step-by-step explanation:
Let r = the number of roses.
Total cost =
numberof Roses × price per rose AND cost of vase
Total at Kingwood's
= 1r + 20
Total at Anita's
= 3r + 10
We are looking for r (the number of roses) when the totals at either place are the same.
Set them equal to each other.
1r + 20 = 3r + 10
Subtract 1r.
20 = 2r + 10
Subtract 10.
10 = 2r
Divide by 2.
10/2 = r
5 = r
When Elijah buys 5 roses, the cost is the same at either florist.
Check:
at Kingwood's
= 1r + 20
= 1(5) + 20
=25
At Anita's
= 3r + 10
= 3(5) + 10
= 15 + 10
= 25
5 roses costs $25 at either florist.
the circumference C of a circle is 24 pi inches. Use the formula C=2 pi r to find the radius r of the circle
The radius of the circle with a circumference of 24π is 12 inches.
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The circumference of a circle is the measure of the arc of the circle. It is given by:
Circumference (C) = 2π * radius
Given that the circumference is 24π, hence:
24π = 2π(radius)
Radius = 12 inches
The radius of the circle is 12 inches.
Find out more on equation at:https://brainly.com/question/2972832
#SPJ1
if 6p = 120 what is p
Answer:
p = 20
Step-by-step explanation:
120 divided by 6 would = 20
Answer: p = 20
Step-by-step explanation:
120/6=20
6x20=120
Using the scale drawing shown in the image find the actual length of the truck
The actual length of the modeled truck is 20.4 feet.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, A model diagram of a truck and each gridline represent 1 cm distance.
Now, To find the length of this model we'll count the number of gridlines horizontally from two endpoints of the truck which is 12 gridlines hence 12 cm.
Also given that 1 cm is equal to 1.7 feet.
Therefore, The actual length of the truck is (1.7×12) feet.
= 20.4 feet.
So, the length of the truck is 20.4 feet.
learn more about scale factors here :
https://brainly.com/question/29464385
#SPJ1
(50 points) Need help asap (2nd and 3rd option are wrong)
The correct way to represent this end behavior is,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
What is the end behavior of a polynomial?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
By observing the graph when x is approaching negative infinity y is approaching positive infinity.
And, when x is approaching positive infinity y is approaching negative infinity.
This can be symbolically expressed as,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
learn more about the end behavior of a polynomial here :
https://brainly.com/question/29255299
#SPJ1
B. Higher Order Thinking For keeping business records, every three months of a year is called a quarter. How many months are equal to three-quarters of a year? Explain how you found your answer.
Answer:
9 months
Step-by-step explanation:
1 quarter is 3 months
3 quarters is 3 times 1 quarter, so it is 3 times 3 months.
3 x 3 months = 9 months
Answer: 9 months
Write the product of 0.4*0.4*0.4 in exponential form
Answer:
It is 6.4*10^-2.
this is your answer
Ubehebe Crater in Death Valley has a diameter of a little more than mile. If Latisha walks around its
rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your
answer to the nearest tenth. Use 3.14 for pi
On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter
here,
D= 1
r = 1/2 = .5
A = 40
T = 40/10 4 hrs.
To know more about radius visit:
https://brainly.com/question/28946570
#SPJ1
What is the product of this expression? −1/4(8x−3/4)
Answer:
-6.1625
Step-by-step explanation:
-1/4=-0.85
-3/4=-0.75
-0.85*8x=-6.8
-0.85*-0.75=0.6375
-6.8+0.6375=-6.1625
An engine spins a wheel with radius 5 inches at 800 rpm. How fast is this wheel spinning in miles per hour?
The wheel is spinning at 23.80 miles per hour
How determine how fast the wheel spinning in miles per hour?The wheel speed in miles per hour can be calculated using the expression below:
Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),
where r is the radius of wheel , 60 converts minute to hour and 63360
converts inches to miles
Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)
Speed in miles per hour = 23.80 miles per hour
Thus, the wheel spins at 23.80 miles per hour
Learn more graphs of speed in miles per hour on:
brainly.com/question/20374006
#SPJ1
You need to give 250 mcg of adrenaline, and you have a 1 mL ampoule of 1:1000 adrenaline. How many mL do you want?
The volume of adrenaline you want is 0.25mL
How to determine the volume you wantFrom the question, we have the following parameters that can be used in our computation:
Amount to give = 250 mcg of adrenaline
Available = 1 mL of 1 : 1000 of adrenaline
The expression 1 mL of 1 : 1000 of adrenaline means that
1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)
So, we have
Available = 1 mL * 1000 microgram/mL
Evaluate
Available = 1000 micrograms
This can be expressed as
Available = 1000 mcg
So, we have
Amount to give = 250 mcg of adrenaline
Available = 1000 mcg of adrenaline
When converted to mL, we have
Available = 1 mL of 1 : 1000 of adrenaline
Divide by 4
Amount = 1 mL of 1/4 : 1000/4 of adrenaline
Evaluate
Amount = 1 mL of 1/4 : 250 of adrenaline
This implies that
Amount = 1 mL of 1/4
Evaluate
Amount = 0.25 mL
So, the amount is 0.25 mL
Read more about ratio at
https://brainly.com/question/1781657
#SPJ1
Help me with this PLEASE!!!!
Answer:
Corresponding Parts of Congruent Triangles are Congruent.
ASA
Step-by-step explanation:
We know that <YPC and angle <YPX are congruent angles. They are both 90°.
Side YP is congruent to YP, so these sides are congruent in both triangles.
<XYP and <YPZ are congruent, because the perpendicular bisector cuts <XYZ in two equal parts.
ASA (Angle, Side, Angle)
I need an answer fast
Alright I got it.
So first what I did was I made an equation that match did the word problem.
The equation was 15x=250+10x
When I solved it the answer was 50.
so they would need to sell 50 Tshirts (x=50)
y=1/4x+4, solve for x
[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]
[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]
[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]
[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]
[tex]\sf y = \frac{\red {x}+16}{4} [/tex]
[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]
[tex]\sf 4y = \red {x}+16[/tex]
[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]
[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]
[tex]\sf 4y-16= \red x[/tex]
[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]
_____________________....
[tex] \pmb{\color{purple}{LearningLifell}}[/tex]
Help soon would be greatly appreciated
The Kimbroughs'
home has a replacement value
of $82,700. They are insuring it for 80% of the
replacement cost.
a. What is the amount of insurance?
b. What is the amount of coverage for
personal property?
c. What is the amount of coverage
for loss of use?
d. What is the amount of coverage for the garage?
According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.
How to calculate the amount of each insurance?To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.
A. What is the amount of unsurance?$82,700 / 100 = 827827 * 80% = $66,160B. What is the amount of coverage for persona property?$82,700 / 100 = 827827 * 59% = $41,350C. What is the amount of coverage for loss of use?$82,700 / 100 = 827827 * 20% = $16,540D. What is the amount of coverage for the garage?$82,700 / 100 = 827827 * 10% = $8,270Learn more about insurance in: https://brainly.com/question/27822778
#SPJ1
if molly needs to cross a river 16 feet wide how long does she have to walk
Molly has to walk for 16/x minutes where x is the speed of molly.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here molly needs to cross a river 16 feet then let her speed be x and t be the time taken to cross the river
Then we have x=16/t
t=16/x
Hence, Molly has to walk for 16/x minutes where x is the speed of molly.
Learn more about the speed of an object here:
https://brainly.com/question/28224010
#SPJ1
1.
(01.01 LC)
Subtract 28.9 − 9.25 =
19/65
(1 point)
2.
(01.01 C)
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem?
The decimal 32.6 is added to an unknown whole number and 54 hundredths to equal 36.14.
(1 point)
36.14
3.
(01.02 LC)
Multiply 11.9 × 22.1. (1 point)
2.6299
2,629.9
262.99
26.299
4.
(01.03 LC)
What is the remainder when 16,055 is divided by 16? (Input numeric values only) (1 point)
10,03 and the remainder is 7
5.
(01.03 MC)
What is the quotient of 52.7 ÷ 4.25? (1 point)
1.24
12.4
13.28
132.8
6.
(01.05 MC)
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days' worth of seed Gracy has left? (1 point)
Rectangle model divided into five equal sections, four sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and one-half days.
Rectangle model divided into ten equal sections, five sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and two-thirds days.
Rectangle model divided into five equal sections, four sections are labeled four-fifths and two sections are labeled three-tenths, equaling two days.
Rectangle model divided into ten equal sections, eight sections are labeled four-fifths and three sections are labeled three-tenths, equaling two and two-thirds days.
7.
(01.06 HC)
Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why? (1 point)
Yes, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 2 and 5 over 8
No, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 1 and 2 over 12
No, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 1 and 2 over 12
Yes, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 2 and 5 over 8
8.
(01.07 MC)
A right rectangular prism has these dimensions:
Length − Fraction 1 and 1 over 4 units
Width − Fraction 5 over 8 unit
Height − Fraction 3 over 4 unit
How many unit cubes of side length Fraction 1 over 8 unit are required to pack the prism without any gap or overlap? (1 point)
60
75
150
300
9.
(02.01 MC)
A fish tank has black and white fish in the ratio of 2 to 6 as shown below:
2 black fish and 6 white fish are shown
Which is another ratio that can describe the black to white fish? (1 point)
1 to 5
5 to1
1 to 3
3 to 1
10.
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water? (1 point)
one over ten
one over five
two over seven
two over five
11.
(02.03 LC)
Victor made different flags that had the same ratio of the length to the width. The table below shows the length and width of the flags Victor made:
Length (centimeter)
Width (centimeter)
3
2
6
4
9
6
12
8
?
10
The missing value in the table is
centimeters. (1 point)
12.
(02.03 MC)
The ratio of the number of cookies to the number of candies in different gift boxes is 5:7. Which table best shows the number of cookies and candies in different gift boxes? (1 point)
Cookies
Candies
5
12
10
24
15
36
Cookies
Candies
2
7
10
35
12
42
Cookies
Candies
10
14
15
21
20
28
Cookies
Candies
11
13
14
16
18
20
13.
(02.03 MC)
A printer printed 68 letters in 4 seconds. If it prints letters at a constant speed, it can print
letters in 30 seconds. (1 point)
evaluate the expression when m=8 and n = 37
Answer:
31Step-by-step explanation:
[tex]\sf 37-\cfrac{48}{8}[/tex]
Divide numbers ( 48/8 = 6)
[tex]\sf 37-6[/tex]Subtract numbers:-
[tex]\sf 31[/tex]31 is your answer!
___________________
Hope this helps!
Have a great day!
The graph shows the cube root parent function Which statement best describes the function?
Answer:
The graph of the cube root function is a continuous and smooth curve that starts at the point (0,0) and extends indefinitely in both the positive and negative directions on the x-axis. The graph increases as x increases from negative infinity to 0, and then decreases as x increases from 0 to positive infinity.
The graph has a vertical asymptote at x = 0, meaning that as x approaches 0 from either direction, the y-values of the points on the graph become very large. However, since the function is defined as the cube root of x, the function is not actually defined at x = 0, so the asymptote is not part of the graph.
The function is an odd function, which means that it is symmetrical about the y-axis. This means that if we were to reflect the part of the graph that is to the right of the y-axis over the y-axis, the resulting graph would exactly match the part of the graph that is to the left of the y-axis.
Overall, the graph of the cube root function is a smooth curve that starts at (0,0) and extends indefinitely in both directions on the x-axis, with a vertical asymptote at x = 0 and symmetry about the y-axis.
To find the next number in the sequence: 7, 10, 13, 16, ____ you would need to do which of the following?
Answer:
19. Add
Step-by-step explanation:
10 - 7 =
13 - 10 =
16 - 13 =
16 + 3 =
write a x 10^n where 10>a<100
On solving the provided question, we can say that - the value the exponent [tex]10^n\\[/tex] will be 100000
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
from the given exponents we have
[tex]10^n[/tex]
where n = 5
so [tex]10^5 = 100000[/tex]
To know more about exponents visit:
https://brainly.com/question/3987569
#SPJ1