Given :
If, A = { x : x is a letter in the word 'MATHEMATICS' } .
To Find :
The members of A and find n (A).
Solution :
We have given a set, A = { x : x is a letter in the word 'MATHEMATICS' } .
Now, we know in set theory recurring element is written once only i.e all unique elements should be there in the set.
So,
A = { M, A, T, H, E, I, C, S }
Now, number of element in set A is 8.
Therefore, n(A) = 8 .
Find m
p (8x+2)
q (10x-19)
r (16x-7)
Answer:
you have to add all the angles of a triangle so the value of m is 6
Plz help me i am stuck
Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:
[tex]P=\dfrac{\text{Possible favorable outcomes}}{\text{Total number of outcomes}}[/tex]
For an impossible event, the possible favorable outcomes is 0. So,
[tex]P=\dfrac{0}{\text{Total number of outcomes}}[/tex]
[tex]P=0[/tex]
For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,
[tex]P=\dfrac{\text{Total number of outcomes}}{\text{Total number of outcomes}}[/tex]
[tex]P=1[/tex]
Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.
The Oregon Trail is 2,197 miles long. How long would it take a covered wagon traveling 20 miles a day to complete the trip? Hint Round to the nearest
ones place
Answer:
109 days and 9 hours
Step-by-step explanation:
Answer:
About 110 days
Step-by-step explanation:
Round up
2,197 would round up to 200
Divide 2,200 by 20, and there is your answer
The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office.
Two box and whisker plots showing weights of cats and dogs on a number line from 0 to 100. The upper plot represents the dog weights. For this upper plot, the minimum number is 10, the maximum number is 95, the right side of the box is 70, the left side of the box is 35, and the bar in the box is at 50. The lower plot represents cat weights. For this lower plot, the minimum number is 1, the maximum number is 18, the right side of the box is 13, the left side of the box is 6, and the bar in the box is at 10.
How many more dogs than cats were over 10 pounds?
10
30
50
100
Answer:
100
Step-by-step explanation:
What is the value of 8?
Answer:
40320
Step-by-step explanation:
8! is equal to 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 , which equal 40320
Answer:
40320
Step-by-step explanation:
An exclamation point denotes a factorial, so multiply all the numbers less than or equal to 8 until you get to 1
[tex]8*7*6*5*4*3*2*1=40320[/tex]
Multiply. Express your answer in simplest form. 3 1/2 x 1 2/5. Show work.
Answer:
4 9/10
Step-by-step explanation:
solve the inequality 14≥3x+2
Answer:
4 ≥ x
Step-by-step explanation:
14 ≥ 3x + 2
14 - 2 ≥ 3x
12 ≥ 3x
4 ≥ x
Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.
What is inequality?In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Given:
14 ≥ 3x+2
Switch sides
3x+2 ≥ 14
Subtract 2 from both sides of the equation, we get
3x + 2 - 2 ≥ 14 - 2
Simplifying the above equation
3x ≥ 12
Divide both sides by 3, we get
3x/3 ≥ 12/3
x ≥ 4
Therefore, the value of x ≥ 4.
To learn more about inequality
https://brainly.com/question/25275758
#SPJ2
4•(-6) • (-2) =
plz help
Answer:
should be 48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Apply rule- a * (-b) = -a * b
4 * (-6)
= -24(-2)
= 48
Hope this helps:)
There are 54 benches and 6 picnic tables in a park. What is the ratio
of the number of picnic tables to the number of benches in its
simplest form??????????????????????????????/
Answer:
1 picnic table : 9 benches
Step-by-step explanation:
You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.
what is the value of x?
Answer:
12
Step-by-step explanation:
please help i keep getting the wrong answers
Answer:
10 inches
Step-by-step explanation:
Surface Area = π R² + π R L [ L is Slant Height ]
200 π = π (10)² + π (10) L
200 π = π (100) + π (10) L
200 π - 100 π = 10 π L
100 π = 10 π L
100 π / 10 π = L
10 = L
L = 10 inches
Hope this Helps......
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
Given terms :
Surface area (a) = 200 πradius = 10 inchesNow, we know
[tex] \large\boxed{\mathrm{surface \: \: area = \: \pi r(l + r) }}[/tex]
[tex]200\pi = \pi \times 10 \times (10 + l)[/tex][tex] \dfrac{200\pi}{10\pi} = 10 + l[/tex][tex]20 = 10 + l[/tex][tex]l = 10 \: in[/tex](note : " l " represents slant height.)
Therefore, Measure of slant height (l) :
[tex] \huge \boxed{10 \: \: in \: }[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
which inequality is graphed in blue
A pizza has a diameter of 24
in. What is the area of the
pizza with the given diameter?
Show your work
pls help me i really need it
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of slides ridden and y represent the total cost. Hence:
1) For option 1, the table is shown. It passes through (2,10) and (6, 20). The equation is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{20-10}{6-2} (x-2)\\\\y=2.5x+5[/tex]
2) For option 2, the equation is given by y = 5x + 7.5
3) For option 3, the graph passes through (30, 100) and (10, 40). Hence the equation is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-40=\frac{100-40}{30-10} (x-10)\\\\y=3x+10[/tex]
Option 2 has the highest rate
Which one is equivalent? Ez points
Answer: B: -4 by -4 by -4
Step-by-step explanation: When a number is to be used with a negative exponent, the number is to be multiplied by however many times the number says to multiply it, and whether the exponent is positive or negative determines the numbers being multiplied, whether they should be negative or positive. (Sorry, I'm not good at wording this, I'll provide an example below.);
4^-3 means that you multiply four three times, but the exponent is also negative, so it would make each of the base numbers negative.
-4 by -4 by -4
The formula for the perimeter of a rectangle is . What is the length of the unknown side of the rectangle below, if the perimeter is 28 inches?
Answer:
Step-by-step explanation:
P=2l+2w
28=2l+2w
2l=2w-28
l = (2w-28)/2
l =2(w-14)/2
l = w-14
SOLVE 23 ASAP PLEASE!!
A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )
_________________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]
Slope = [ 3 ] ÷ [ 4 + 3 ]
Slope = 3 ÷ 7
Slope = 3/7
_________________________________
y - y(A) = Slope × ( x - x(A) )
y - 2 = 3/7 × ( x - ( - 3 ) )
y - 2 = 3/7 ( x + 3 )
y - 2 = 3/7 x + 9/7
y = 3/7 x + 9/7 + 2
y = 3/7 x + 9/7 + 14/7
y = 3/7 x + 23/7
?????????????????????????????????????????????????
Answer:
63/50 or 1 13/50
Step-by-step explanation:
Answer:
Step-by-step explanation:
the first one
what is oral traditions? don’t copy word to word from the internet
Answer:
, hope u understand and happy
Answer:
Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more
Step-by-step explanation:
please guys do this i need help
List at least 3 positive consequences of having the human population grow so fast.
List at least 3 negative consequences of having the human population grow so fast.
The rates of population growth are not the same, of course, in all parts of the world. Among the industrialized countries, Japan and most of the countries of Europe are now growing relatively slowly—doubling their populations in 50 to 100 years. Another group of industrialized countries—the United States, the Soviet Union, Australia, New Zealand, Canada, and Argentina—are doubling their populations in 30 to 40 years, approximately the world average. The pre-industrial, low-income, and less-developed areas of the world, with two thirds of the world’s population—including Asia (except Japan and the Asiatic part of the Soviet Union), the southwestern Pacific islands (principally the Philippines and Indonesia), Africa (with the exception of European minorities), the Caribbean Islands, and Latin America (with the exception of Argentina and Uruguay)—are growing at rates ranging from moderate to very fast. Annual growth rates in all these areas range from one and one-half to three and one-half per cent, doubling in 20 to 40 years.
The rates of population growth of the various countries of the world are, with few exceptions, simply the differences between their birth rates and death rates. International migration is a negligible factor in rates of growth today. Thus, one can understand the varying rates of population growth of different parts of the world by understanding what underlies their respective birth and death rates
Help pls 40 points
Maths genius awakee!
Two experiments were carried out to find the relationship between the variables x and y. Both
experiments showed that the relationship between x and y is in accordance to 3(9^x) = 27^y and log2 y = 2 + log2 (x - 2). Find the value of x and y that satisfy both experiments.
Answer:
X=5/2 , y=2
Step-by-step explanation:
Sorry if I'm not correct
F4 ke?
distance between the points (2 , 3) and (7 , 10)
[tex] \sqrt{74} \: units.[/tex]
Step-by-step explanation:
Let (2,3) = (x1 , y1) and (7,10) = (x2 , y2)
By using Distance formula
[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] \sqrt{ {(7 - 2)}^{2} + {(10 - 3)}^{2} } [/tex]
[tex] \sqrt{ {5}^{2} + {7}^{2} } [/tex]
[tex] \sqrt{25 + 49} [/tex]
[tex] \sqrt{74} [/tex] units.
Which of these is the cross section if the slice is made perpendicular to the base?
A. square
B. triangle
C. rectangle
D. rhombus
***(NO LINKS AND ANSWER SERIOUSLY)***
Hi there!
[tex]\large\boxed{\text{ C. Rectangle}}[/tex]
If cross sections were made perpendicular to the base, they would assume the shape of the lateral sides.
Thus, the cross sections would be rectangles. The correction answer is C.
find the equation of a line with gradient 5 through the point -4,5
Step-by-step explanation:
5 = 5(-4)+c
5 = -20 + c
5+20= 25
25= c
so
y = 5x + 25
Answer:
m= 5
Points=(-4,5)
y-y'= m(x-x')
y-5 = 5(x-(-4)
y-5=5(x+4)
y-5=5x + 20
y - 5x -25 = 0
Or
y= 5x + 25.
Please helplpppppp!!
Answer:
D
Step-by-step explanation:
"x" represents the hours.
so 8 is the fee for the hours, rather than insurance.
6 is the insurance fee.
if the cost per hours is doubled, it'll now be 16.
the answer is "6 + 16x" (D)
what is the result?? Show explanation.
A. 4⁵
B. 4¹
C. 4-¹
D. 4-⁵
Answer:
4^-5
Step-by-step explanation:
4^-3 = 1/4^3
1/4^3 · 1/^2 = 1/4^5 which is the same as 4^-5
Write the rule for the nth term of geometric sequence a1=6 and r=3
Step-by-step explanation:
Hey there!
Given;
a1 = 6
and r = 3
Then;
Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.
[tex]nth \: term \: of \: geometric \: sries = {a}^{} . {r}^{n - 1} [/tex]
Now, keep all values.
[tex]nth = 6 \times {3}^{n - 1} [/tex]
So, it becomes like this.
Therefore, the rule is nth= 6*3^n-1.
Hope it helps!
-3
Which expression is equivalent to
21n^-3m^5/3p^-5?
Answer:
IM NOT SURE WHAT
Step-by-step explanation:
can someone please help me figure this out? this is a summative and I'm failing for the year. it's algebra 1.
Part (a)
x = number of bass caughty = number of trout caughtx and y are nonnegative whole numbers.
3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds. Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.
In short, we end up with the equation 3x+2y = 34
Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.
The second equation is 5x-2y = 14
------------
Answer:
3x+2y = 34
5x-2y = 14
Both equations are needed to form this particular system.
===================================================
Part (b)
We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).
===================================================
Part (c)
Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.
3x+5x becomes 8x2y + (-2y), aka 2y-2y, becomes 0y and the y terms go away34+14 simplifies to 48After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.
Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y
3x+2y = 34
3(6)+2y = 34
18+2y = 34
2y = 34-18
2y = 16
y = 16/2
y = 8
So we can see that Pat caught 8 trout as well.
The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.
Solution: (x,y) = (6,8)
Interpretation: Pat caught 6 bass and 8 trout
formula of slope , if angle is give
Answer:
formula of slope if angle is given:
Tan (angle given)
Step-by-step explanation: