Answers
Answer:
B ∪ C = (-∞, ∞)
B ∩ C = [1, 7)
Step-by-step explanation:
B ∪ C: The union of two sets or intervals is the set of elements which are in either set.
B ∩ C: The intersection of two sets or intervals is the set of elements which are in both sets.
Interval notation symbols
Square brackets [ ]: both endpoints are included in the set.
Round brackets ( ): both endpoints are excluded in the set.
Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.
Square, round [ ): left endpoint is included and right endpoint is excluded in the set.
Given:
B = {z | z ≥ 1}C = {z | z < 7}Therefore,
B = [1, ∞)
C = (-∞, 7)
Therefore, B ∪ C = (-∞, ∞)
As z is either less than 7, or equal to or more than 1 then the intersection is:
B ∩ C = {z | 1 ≤ z < 7} = [1, 7)
Answer:
See below ~
Step-by-step explanation:
B ∪ C = {∞}As all numbers will be included, the union of the sets is equal to all real numbers (infinity)B ∩ C = {1, 2, 3, 4, 5, 6}Only the numbers that are greater than or equal to 1, but less than 7Related Questions
The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic
inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7
inches?
O 89.24 in³
O 65.97 in³
131.95 in³
197.92 in³
Answers
Answer:
197.92 in³
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 3 inh = 7 inSubstituting the given values into the formula:
[tex]\begin{aligned} \implies \textsf{Volume of a cylinder} & =\sf \pi (3)^2(7)\\ & = \sf 63 \pi\\ & = \sf 197.92\:in^3\:(nearest\:hundredth)\end{aligned}[/tex]
Suppose Jonathan eats 6 packages of pemmican. He also eats some biscuits. Create an equation that models the total number of calories Jonathan consumes, y, based on the number of biscuits he eats, x, and the 6 packages of pemmican.
Answers
Using proportions, it is found that the equation that models the total number of calories Jonathan consumes is given by:
y = 810 + 75x.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem:
Each biscuit has 75 calories, hence x biscuits will have 75x calories.Each package of pemmican has 135 calories, hence 6 packages will have 6 x 135 = 810 calories.Thus, the equation is given by:
y = 810 + 75x.
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Help meeeee!eeeeeeee
Answers
A lemonade recipe calls for 1/4
cup of lemon juice for every 1 cup of water.
Drag the movable points to plot the pairs in the table.
Answers
Answer:
...
Step-by-step explanation:
0.25 cup of lemon juice every 1 cup of water.
If you multiply it 4 times it would be 1 cup of lemon juice for every 4 cups of water.
this quetion is hard for me
Answers
Answer:
(1, 4)
Step-by-step explanation:
I use Desmos for any graph related math problems and it's really helpful! It's completely free too. You should check it out :)
Hope this helps!
Roy wants to make a path from one corner of his yard to the other as shown below. the path will be 4 feet wide. he wants to find the area of lawn that remains. a rectangle has a height of 40 feet and a base of 15 feet. a 4 feet wide path forms a parallelogram inside of the rectangle. roy claims that the area of the lawn is 300 square feet since it covers exactly one-half of the yard. which statement about his claim is correct? he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 440 sq ft. he is incorrect. the path will have an area of one-half (4) (40) = 80 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 220 sq ft. he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 140 sq ft. he is incorrect. the path will have an area of (9) (40) = 360 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 240 sq ft.
Answers
The incorrect claim is A. He is incorrect. The path will have an area of (4)(40)=160 sq ft. The yard has an area of 600 sq ft. The area of the lawn will be the difference of the yard and path, so it is 440 sq ft.
What is an Area?This refers to the quantity used in mathematics to show the extent of a two-dimensional region, shape, or planar lamina, in the plane.
Hence, because Roy wants to make a path from one corner of his yard to the other, he makes an incorrect claim about the area of the yard and the lawn, and option A is the correct answer.
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Factorise x2+5x-14
:)
Answers
Answer:
Step-by-step explanation:
7 and 2 are the two factors of 14.
One of them (and only 1) must be minus. That is the only way that you can get a minus 14.
The 7 must be plus. It has to larger than 2 in order to get + 5
Answer (x + 7)( x - 2) is how it factors.
Note
Always try using logic on the trinomial before going into the quadratic equation. If either the 5 is minus or the 14 is minus when one of the factors is minus. The sign in front of the middle number is the same as the larger of the two factors. So 7 must larger than 2. 7 is plus 2 is minus
Aladder that is 15 ft. long is leaning against the side of a
building as shown below. If the place where the ladder
touches the level ground is 9 ft. from the base of the
building, how high off the ground does the ladder touch
the building?
Answers
H. 12 ft
Given c=15, and a=9, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height
9^2+b=15^2
81+b^2=225
b^2=144
b=12
Height = 12
A boy leaves home at 7:30 a.m and cycles to school, 6 km away, arriving at 7:45 a.m. The average speed of the boy as he cycles, in kmh, is (A) 32 (B) 24 (C) 18 (D) 16
Answers
Answer:
B) 24
Step-by-step explanation:
distance = 6 km
we want the speed in km/h, so let's turn everything into either km or h if possible
time = 7:45 am - 7: 30 am = 15 minutes
60 minutes = 1 hour
1 hour / 60 minutes = 1
15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15 / 60 hours = 1/4 hours = 0.25 hours
note that we multiply by 1 hour / 60 minutes, not 60 minutes/ 1 hour. this is because we want the minutes to cross out -- because the original is given in minutes ( 15 minutes = 15 minutes/1) and is in the numerator, we need minutes in the denominator of 1 hour/60 minutes to cross it out
km = 6
h = 0.25
km/h = 6/0.25 = 24
In the graph above, the coordinates of the vertices of QPR are Q(3, 0), P(5, 6), and R(7, 0). If AQPR is reflected across
the x-axis to create Q'P'R', find the coordinates of R.
A. (-7,0)
B. (3,0)
C. (5,-6)
D. (7,0)
Answers
Answer:
D. (7, 0)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x, y) → (x, -y)
This means that the x-values stay the same while the y-values change.
Q(x, y) → (x, -y)
Q(3, 0) → (3, 0)
Q'(3, 0)
P(x, y) → (x, -y)
P(5, 6) → (5, -6)
P'(5, -6)
R(x, y) → (x, -y)
R(7, 0) → (7, 0)
R'(7, 0)
Therefore, the correct answer is D.
Hope this helps!
I WILL MARK BRAINLIEST
Answers
Fill in the blanks with the correct coefficient.
And if y’all could answer this too that would help
Answers
Answer:
the final answer is 2x²+17x-12
so to fill in the blank the first box will be 2 and the second box will be 12
Dara and Jo share £420 in the ratio 25.
Calculate how much Dara and Jo receive each.
Answers
Answer: 120 And 300
Step-by-step explanation: Ratio 2:5 = 7
1/7 of 420 = 60
Ratio 1 = 60
Ratio 2 = 60 ×2
Ratio 5= 60 ×5
In how many ways can 8 people be seated in a row of chairs if three of the people, John, Wilma, and Paul, refuse to sit in three consecutive seats?
Answers
Answer:
I think it's easiest to count the ways that they can consecutively sit together and subtract this from the total number of seating arrangements.
There are 6 groups of 3 consecutive seats. Within each group there are 3!=6 ways the three people can be arranged
Then the remaining 5 people can be arranged 5!=120 ways in the remaining seats.
So there are 6*6*120 = 4320 arrangements where they DO sit consecutively
There are 8! = 40320 total arrangements.
So there are 40320 - 4320 = 36000 arrangements where the 3 do not sit consecutively.
Step-by-step explanation:
help meee pleasee!! And get it rightt!!
Answers
Answer:
1/6
Step-by-step explanation:
First one red 4 out of 9 = 4/9
now there are 8 marbles left and 3 are red
prob of red is now 3 out of 8 = 3/8
4/9 * 3/8 = 12/72 = 1/6
What is the measure of ∠1
A: 56°
B: 73°
C: 107°
ANSWER FAST HURRY! WILL MARK BRAINLEIST WORTH 100 POINTS
Answers
Answer: 73
Step-by-step explanation:
Angle B is 180-107=73
Angle 1 is equivalent to B and it is 73
Answer:
C. ∠1 = 73°
Step-by-step explanation:
Angles on a straight line add up to 180°
Therefore:
⇒ ∠1 + 107° = 180°
Subtract 107° from both sides:
⇒ ∠1 + 107° - 107° = 180° - 107°
⇒ ∠1 = 73°
The density of copper is 9.86 g/cm³.
Work out the mass of the solid copper cuboid in kg.
10 cm
3 cm
5 cm
Answers
Answer:
1479 gm
Step-by-step explanation:
V = 10 * 3 * 5 = 150 cm^3
150 cm^3 * 9.86 g / cm^3 = 1479 gm
What does taken/take for granted mean?
Answers
take for granted 1. Consider as true or real, anticipate correctly, as in I took it for granted that they'd offer to pay for their share but I was wrong. [c. 1600] 2. Underestimate the value of, become used to, as in The editors felt that the publisher was taking them for granted.
What is a unit fraction?
two parts of a whole
a whole
one part of a whole
the bottom number in a fraction
Answers
Answer:
denominator
Step-by-step explanation:
the upper part is numerator
so the lower is denominator
Answer:
one part of a whole
Step-by-step explanation:
A unit fraction shows one part of a whole number
(*) Sorry for my late answer but I hope this helps others that are looking for this.
I got 100% (edge) ;)
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form
Answers
The value of sin D, sin E , cos D , and cos E in simplest fraction form are as follows:
Sin D = 4 / 5
sin E = 3 / 5
cos D = 3 / 5
cos E = 4 / 5
Trigonometric ratios:The simplest trigonometric ratios expression are as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentTherefore,
Sin D = opposite / hypotenuse = 12 / 15 = 4 / 5
sin E = opposite / hypotenuse = 9 / 15 = 3 / 5
cos D = adjacent / hypotenuse = 9 / 15 = 3 / 5
cos E = adjacent / hypotenuse = 12 / 15 = 4 / 5
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Answer:
The Numbers are rounded btw
Sin D = 28.1 As a fraction 281/10
Cos D = 31.9 As a fraction 319/10
Cos E = 31.9 As a fraction 319/10
Step-by-step explanation:
Sin= opposite/ hypotnuse
Con= addjacent/ hypotnuse
if you cant tell which side the hypotnues if on, it is always opposite from the 90 degree mark.
Now that you know how to make the fraction for Sin and Con, you would have to use a graphing calulator, plug in Sin^-1 or Con^-1 what ever the sign is and put the fractions in ( ) next to it and it will give you the decmle. Also using a graphing calculator is 100% allowed in this type of math.
2) Tara is trying to find the nth term of the arithmetic sequence 5,8,11, and 14…. Which expression can Tara use to find the nth term? What is the 15th term of the sequence?
Answers
Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
i do not know this answer
Answers
Answer:
The answer is -19
Step-by-step explanation:
Given information -19y^2 , y=-1
-19 * y^2
-19 * (-1)^2
-19 * 1 = -19
a/b + 8/b = ?/b what’s the numerator for the following rational expression
Answers
Answer:
Numerator: A + 8
Complete Form: [tex]\frac{A+8}{b}[/tex]
Step-by-step explanation:
Hello!
If we have two fractions that are being added or subtracted with the same denominator, we can simply add up the numerators and keep it over the same denominator.
Let's use this question as an example:
[tex]\frac Ab + \frac 8b = \frac ?b[/tex][tex]\frac {A + 8}{b}[/tex]The problem is basically saying, "If I took A slices from b slices and 8 slices from b slices, how many slices would I have?"
The answer would be A + 8 slices.
Coach Rodriguez is planning an end-of-season celebration for the swim team
To decide what food to serve, she surveys a random sample of students on
the team
Food for End-of-Season Celebration
Which inference is supported by the data collected in the survey?
A. The number of team members who prefer pizza is less than the
combined number of team members who prefer hamburgers or
chicken fingers
B. The number of team members who prefer hamburgers is half the
number of team members who prefer tacos.
C. The smallest number of team members prefer hamburgers.
D. The number of team members who prefer tacos is the same as
the combined number of team members who prefer hamburgers
or pizza
Please help my last question first to answer and the answer is correct will get brainlist and a like and a 5 star please hurry and help
Answers
Option D is correct. The number of team members who prefer tacos is the same as the combined number of team members who prefer hamburgers or pizza.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Coach Rodriguez is planning an end-of-season celebration for the swim team.
To decide what food to serve, she surveys a random sample of students on the team Food for End-of-Season Celebration.
We can see that,
The number of team members who prefer tacos = 12
The combined a number of team members who prefer hamburgers or pizza = 7 + 5
= 12.
So, The number of team members who prefer tacos is the same as the combined number of team members who prefer hamburgers or pizza.
The inference supported by the data collected in the survey would be option D.
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Answer:
The number of team members who prefer hamburgers is the same as the combined number of team members who prefer pizza or chicken fingers.
Step-by-step explanation:
Test approved
Antonio has $15 to spend on a set of colored pencils for his art class. Which number line represents the amount that he can spend on the pencils?
Answers
If he has 15$ then he could spend all of it on the colored pencils, so there has to be a black dot on 15, & if he could buy the colored pencils less than 15$ then it has to be a black dot on 15 & an arrow pointing to less than 15
I hope this answers your question
Neela is making rectangular place mats that are 12 inches wide and 15 inches long. What is the least amount of ribbon that she will need to create a ribbon border around 1 place mat?
180 inches
54 inches
180 square inches
54 square inches
Answers
Joel made a scale drawing of a boarding school. A building at the school is 16 millimeters wide in the drawing. The actual building is 20 meters wide. What is the scale of the drawing?
Answers
Answer:
Step-by-step explanation:
.8 millimeters :1 meters
Answer: 5 METERS ACCORDING TO IXL
Step-by-step explanation:
Determine the coordinate of the point where
y=x−6 crosses the x-axis.
Answers
Answer:
(6, 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
0 = x - 6 ( add 6 to both sides )
6 = x
the line crosses the x- axis at (6, 0 )
Instead of y write 0:
0=x-6
Now solve for x :0=x-6
Add 6 on both sides6=x or x=6
We know the x coordinate of the point that intersects the x axis; the y coordinate is always 0.
Coordinates of the point ↓(6, 0)
The nth term of a sequence is 5n - 3.
Write down the first three terms of the sequence.
Answers
Answer:
2, 7, 12.
Step-by-step explanation:
Substitute n = 1, n = 2 and n = 3:
First term = 5(1) - 3 = 5-3 = 2
Second = 5(2) - 3 = 7
Third = 5(3) - 3 = 12.
Helpppp meeeeeeeeeeeeeeee
Answers
Answer:
its the same thing as 3 x3 or 3+3 it always come´s back as 9 or 6 Becasue of its rotation
Step-by-step explanation: