For each of the following, shade the portion of the Venn diagram that illustrates the set. ( A ∩ B ) ∪ ( A ∩ C )
Answers
Answer:
Here's what that would look like on a venn diagram
Step-by-step explanation:
Related Questions
An item costs $370 before tax and the sales tax is $11.10. Find the sales tax rate::Write your answer as a percentage.
Answers
Answer:
3%
Step-by-step explanation:
Cost x sales tax rate =tax
370 x sales tax rate = 11.10
sales tax rate =11.10/370
sales tax rate=.03 or 3%
The sales tax rate is 3% if an item costs $370 before tax and the sales tax is $11.10.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To determine the sales tax rate, we need to divide the amount of sales tax paid by the cost of the item before tax and then multiply the result by 100% to express it as a percentage.
As per the question, the amount of sales tax paid is $11.10, and the cost of the item before tax is $370. Therefore, the sales tax rate is:
sales tax rate = tax paid / (cost of the item before tax) x 100%
sales tax rate = $11.10 / $370 x 100%
Apply the division operation,
sales tax rate = $0.03 x 100%
Apply the multiplication operation,
sales tax rate = 3%
Therefore, the sales tax rate is 3%.
Learn more about the percentages here:
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Find the slope of a line that is PRRPENDICULAR to the line that goes between (3,-8) and (5,2).
5
1/5
-5
-1/5
3
-3
1/3
-1/3
Answers
Answer:
-1/5
Step-by-step explanation:
Slope of the line = (y2-y1)/(x2-x1)
(2-(-8)/(5-3)
10/2 = 5
Perpendicular line = the slope is opposite of the reciprocal
-1/5
Nia had a 20 inch by 30 inch enlargement made of a photograph. She wanted to have it framed. How many inches of frame would it take to enclose the photo?
Answers
Answer: 100 inches
Step-by-step explanation:
From the question, we are given the information that Nia had a 20 inch by 30 inch enlargement made of a photograph and that she wanted to have it framed.
The number of inches of frame that she would use to enclose the photo will be gotten by calculating the perimeter of the shape and this will be:
= 2(length + width)
= 2(30 + 20)
= 2(50 inches)
= 100 inches
To enclose the photo, 100 inches of frame is needed.
I would appreciate if someone could answer this :)
Answers
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 100 milligrams of Medication A with 80 milligrams of Medication B. However this week, the doctor said to only use 16 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
Answers
Answer:
Step-by-step explanation:
20 milligrams
In a math class, there are 6 students with brown hair, 8 students with black hair, and 9 students with blonde hair? One student is selected at random. What is the sample space? *
Brown, black .
Black, blonde.
Brown, black, blonde.
Brown, blonde.
Answers
Explanation:
The sample space is simply the list of possible outcomes. We list all the hair colors possible in this class.
Angle x is conterminal with angle y. If the measure of angle x is greater than the measure of angle y, which statement is true regarding the values of x and y?
x = y - 180n, for any positive integer n
x = y - 360n, for any integer n
x = y + 360n, for any positive integer n
x = y + 180n, for any integer n
Answers
9514 1404 393
Answer:
x = y + 360n, for any positive integer n
Step-by-step explanation:
Since x is greater than y, something must be added to y to get x. Angles have the same co-terminal ray at multiples of 360°. Then the amount added to y must be some multiple of 360°:
x = y + 360n . . . . . for positive integer n
If you become a. . what Will you do
Answers
Answer:
if you becomes a.. what is this mean
Answer:
i have no idea
Step-by-step explanation:
i dont think turning into a virtual period will let me do anything. If you can clarify please let us know!
Given the triangle below, answer the following:
Answers
Answer:
Step-by-step explanation:
question no . 5
ratio of angle L
take angle as reference angle
using cos rule
cos L = base / hypotenuse
= 4/5
ratio of angle N
take angle N as reference angle
using sin rule
sin N = opposite / hypotenuse
= 4/5
for measure of angle L
cos L = 4/5
cos L = 0.8
L = [tex]cos^{-1}(0.8)[/tex]
L = 36.9
for meanure of angle N
sin N = 4/5
sin N = 0.8
N = [tex]sin^{-1}(0.8)[/tex]
N = 53.1
pls help asap!!
For the following geometric sequence, find the recursive formula.
(-80,20,-5...)
Answers
Answer:
asap!!
For the following geometric sequence, find the recursive formula.
(-80,20,-5...)
Step-by-step explanation:
asap!!
For the following geometric sequence, find the recursive formula.
(-80,20,-5...)
Answer is attached as image
PLS HELP ASAP
Graph x+3y=6x
Answers
Answer:
Not sure what more you need, but here is an example of the graph on Desmos.
Answer:
Your graph should look like the one on the pic...
☆•☆•☆•☆•☆•☆
Hope it helps. .
Have a great day!!
Value of 140 degree in diagrams
Answers
Answer:
There are 360º in a circle. 140º has been allocated to one angle.
There are 360-140 = 220º left in the circle.
Step-by-step explanation:
1. EF is (a secant of, tangent to) OX.
2. DF is a (chord, locus) of OX.
3. AABC is made of (chords in, tangents to) OX.
4. ZDEF is an (intercepted arc, inscribed angle) of OX.
Answers
Answer:
1 . EF is a secant of OX
2. DF is a chord of OX.
3. AABC is made of tangents to OX
4. ∠DEF is an inscribed angle of OX.
Step-by-step explanation:
Secant is line which intersects a circle from two distant points. Locus is a set of points which is same distance from the center of a circle. Chord is a straight line whose end points lie on circular arc of a circle. Tangent is a line which touches the circle at one point only.
Only higher experienced need answer theorems all 5 questions. Thank you 200points if repeating the last question.
Answers
Answer:
first one : inscribed angles create arc twice their degree
so, 115° created a 230 ° arc
360 - 230 = 130°
that means ∠EDG = 1/2 (130) or 65°
second : ∠ABD = 180 - 112 = 68
The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.
Central Angles and arcs are equal
360° - 136° = 224°
224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°
Third: ∠ACB and ∠ AOB create the same arc.
since ∠ACB is 48°, the arc is 96° (twice the angle)
if the arc is 98° then the central angle ∠AOB = 98°
360°-98° = 262°
You need this because ∠APB is 1/2(262-98) or 82°
Fourth : Both inscribed angles create the same arc
so the angles are equal
∠DEG = 38°
Answer:
15° created a 230 ° arc
360 - 230 = 130°
that means ∠EDG = 1/2 (130) or 65°
second : ∠ABD = 180 - 112 = 68
The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.
Central Angles and arcs are equal
360° - 136° = 224°
224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°
Third: ∠ACB and ∠ AOB create the same arc.
since ∠ACB is 48°, the arc is 96° (twice the angle)
if the arc is 98° then the central angle ∠AOB = 98°
360°-98° = 262°
You need this because ∠APB is 1/2(262-98) or 82°
Fourth : Both inscribed angles create the same arc
so the angles are equal
∠DEG = 38°
Step-by-step explanation:
Find the general value of log(1 + i) + log(1 - i)
Answers
Answer:
the answer would be log 2
What is the sum of the interior
angle measures of a polygon
that has 20 sides?
Sum = [?]"
Hint: Sum = (n-2)180
Answers
Step-by-step explanation:
if N= given Side then,
(20-2)180
18×180
3240° Answer
Answer:
n=20 side
sum=(n-2)180
=(20-2)180
=(18)180
=3240
The answer I got for this problem was 10.8 (multiplied 18 and 60 then divided by 100) however, it stated that my answer is incorrect. Did I not round correctly or is my entire answer wrong?
Answers
9514 1404 393
Answer:
30 mL
Step-by-step explanation:
The meaning of 60% solution is ...
alcohol/(total volume) = 0.60
You are told the amount of alcohol is 18 mL, so you have ...
(18 mL)/(total volume) = 0.60
Multiplying by total volume gives ...
18 mL = 0.60 × (total volume)
Then dividing by 0.60, you have ...
(18 mL)/0.60 = total volume = 30 mL
_____
Additional comment
You need to apply what you know about the real world to consider whether your answer makes any sense. If alcohol is a little more than half of the volume, and the amount of alcohol is 18 mL, then the total volume cannot be less than 18 mL. In fact, you expect it to be not quite double 18 mL.
An answer of 10.8 mL makes no sense in this context. You cannot have less total solution than you have of something that makes up a part of the total solution.
There are 49 non-fiction books on my shelf. The remaining 75% of
books are novels. How many books are on my shelf?
Answers
Step-by-step explanation:
the answer is in the above image
A tepee is designed to have a diameter of 10 ft and a volume of 393 ft. At
what height, h, should the support poles cross to assemble the tepee
correctly? Use 3.14 for 1 and round your answer to the nearest foot.
Answers
Answer:
15 ft.
Step-by-step explanation:
The tepee is a cone and its volume
= 1/3 pi r^2 h where r = radius and h = height.
The radius r = 1/2 * 10 = 5 ft.
So we have the equation:
393 = 1/3*3.14* 5^2 * h
h = 393 / (1/3*3.14*25)
= 15.02 ft.
At an assembly plant for light trucks, routine monitoring of the quality of welds yields the following data:
Number of Welds
High Moderate Low
Quality Quality Quality
Day Shift
Evening Shift
Night Shift 467 191 42
445 171 34
254 129 17
Can you conclude that the quality varies among shifts?
a. State the appropriate null hypothesis.
b. Compute the expected values under the null hypothesis.
c. Compute the value of the chi-square statistic.
d. Find the P-value. What do you conclude?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
H0 : quality does not vary among shift
H1 : quality varies among shift
The expected values :
(Row * column) / grand total
Given the data:
Observed values :
_________________total
_______467 191 42 __700
_______445 171 34 __650
_______254 129 17 _ 400
Total __ 1166 491 93 _ 1750
Expected value count using the formula :.
Expected Values:
466.4 ____196.4 ______37.2
433.086 _182.371___ 34.5429
266.514_ 112.229____ 21.2571
The Chisquare statistic (χ²) :
χ² = (observed - Expected)²/ observed
χ² = 5.76045
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (3-1)*(3-1) = 2*2 = 4
Pvalue = 0.2178
Pvalue > α ; We foal to reject H0 ; Hence, we conclude that quality does not vary among shift
What proportion of families own as opposed to rent their home? To find out, an urban planner selected a random
sample of 400 families in a large city to participate in a survey about homeownership. Of the 362 families that
responded to the survey, 42% reported that they own their home. Which of the following statements about the
survey results is true?
O A suitable estimate of all families who own their home is 42%.
The survey suffers from voluntary response bias and may not accurately represent the population.
O Only 362 responses cannot provide a suitable estimate of families who own their home.
O The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.
Mark this and return
Save and Exit
fyext
Submit
Answers
Answer:
A suitable estimate of all families who own their home is 42%.
Step-by-step explanation:
42% reported that they own their home.
This means that the sample proportion is of 42%. So that an estimate for the percentage of all families who own their home is of 42%., and that the first option is correct.
Answer:
The correct answer is: The survey suffers from undercoverage and may not provide a suitable estimate of homeownership.
Step-by-step explanation:
I just took the review test. The person above me is wrong
What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?
Answers
Answer:
Y=x+3
Step-by-step explanation:
we have :
x1= -7
y1= -4
m=1
as we know Y-y1=m(X-x1)
Y+4=(X+7)
Y+4=X+7
Y=X+7-4
Y=X+3
Which of the following represents the factorization of the trinomial below?
X2 - 2x - 48
ANSWER
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: (x + 6)(x - 8)}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {x}^{2} - 2x - 48[/tex]
[tex] = {x}^{2} - 8x + 6x - 48[/tex]
Taking [tex]x[/tex] as common from first two terms and 6 from last two terms, we have
[tex] =x \: ( \: x - 8 \: ) + 6 \: ( \: x - 8 \: )[/tex]
Taking the factor [tex](x-8)[/tex] as common,
[tex] = (x + 6)(x - 8)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
(X+6)(x-8)
Step-by-step explanation:
a line through (4,2) with slope 1/2
Answers
Answer:
Step-by-step explanation:
Use the formula P=MX+B
If the coordinates of a point p(m-3, -6) = p(-7, -6), then find the value of m
Answers
Answer:
[tex]m =-4[/tex]
Step-by-step explanation:
Given
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
Required
Find m
[tex]p(m-3 , -6) = p(-7 , -6)[/tex]
By comparison:
[tex]m-3 = -7[/tex]
Add 3 to both sides
[tex]m = -7+3[/tex]
[tex]m =-4[/tex]
32
The angles shown are supplementary. What is the value of x? 0
(2 Points)
(5x5°
95°
O 180 degree
• 17 degree
O 22 degree
45 degree
HELPP I NEED THIS ASAP ITS FOR MY FINALSS
Answers
Answer:
17degrees
Step-by-step explanation:
The sum of two supplementary angles is equation 180degrees. Hence:
5x+95 = 180
5x = 180-95
5x = 85
x = 85/5
x = 17
Hence the value of x is 17
Can someone please please please help me? I need this to be correct or else I’m gonna be grounded for the rest of the summer…
The difference between two numbers is 28. The first number is three times the other number. What are the numbers?
A. 14 and 42
B. 26 and 42
C. 14 and 14
D. 15 and 43
No links or fake answers please
Answers
Answer:
A
Step-by-step explanation:
42-14=28
Answer:
A. 42 and 14
Step-by-step explanation:
first number = x
second number = y
x - y = 28
3x - x = 28
(y is now x because it says the second number is whatever x was, but three times less)
x = 14
3(14) - (14) = the original number, 28
4.000.000 x 4.000.000 = ?????
Helpp
Answers
I think the answer is 16 but I'm not 100% sure
A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+2t^0.5, where t is the time in seconds and S(t) is the distance in feet from the top of the building. Step 1 of 3 : If the coin hit the ground in exactly 1.8 seconds, how high is the building? Round your answer to 2 decimal places.
Answers
Answer:
The height of the building is of 48.24 feet.
Step-by-step explanation:
Height after t seconds:
The height after t seconds of the coin is given by:
[tex]S(t) = -16t^2 + 2t + h[/tex]
In which h is the height of the building.
If the coin hit the ground in exactly 1.8 seconds, how high is the building?
This means that when [tex]t = 1.8, S(t) = 0[/tex]. We use this to find h.
[tex]S(t) = -16t^2 + 2t + h[/tex]
[tex]h = 16t^2 - 2t[/tex]
[tex]h = 16(1.8)^2 - 2(1.8)[/tex]
[tex]h = 48.24[/tex]
The height of the building is of 48.24 feet.
Find csc0
Please Help!!!!!
Answers
=======================================================
Explanation:
The terminal point is at (x,y) = (3,-4)
Apply the pythagorean theorem to find that x^2+y^2 = r^2 solves to r = 5. This is the length of the hypotenuse.
Then we can determine the cosecant of the angle theta using the formula below
csc(theta) = hypotenuse/opposite
csc(theta) = r/y
csc(theta) = 5/(-4)
csc(theta) = -5/4
Side note: csc = 1/sin
