Step-by-step explanation:
3+x-2/x-3<_4
cross multiply
3+x-2<_4(x-3)
3+x-2<_4x-12
1+x<_4x-12
collect like terms
1+12<_4x-x
13<_3x
divide both side by 3
13/3<_×
6.5<_x
I have a standard deck of playing cards in one pile, and a deck of 10 distinct Pokémon cards in another
pile. If I randomly choose 3 playing cards and 4 Pokémon cards (and I don't care about the order I draw
them), how many different choices could I make?
Answer:
You could make 4,641,000 different choices.
Step-by-step explanation:
The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different choices could I make?
3 cards from a set of 52(number of cards on a standard deck).
4 Pokemon cards from a set of 10. So
[tex]T = C_{52,3}*C_{10,4} = \frac{52!}{3!49!}*\frac{10!}{4!6!} = 22100*210 = 4641000[/tex]
You could make 4,641,000 different choices.
Evan has $4,600 to deposit into two savings accounts.
• Evan will deposit $2,000 into Account I, which earns 5% interest, compounded annually.
• Evan will deposit $2,600 into Account II, which earns 4% annual simple interest.
In 3 years, which account will produce more interest, and by how much?
Answer:
The second one by 4 dollars
Step-by-step explanation:
Find the difference
6 cm
6 cm
1
6 cm
9 cm
-6 cm
-15 cm
Answer:
180 cm^2
Step-by-step explanation:
Remark
If you put the slices that have been removed back into the figure, and figure out the resulting rectangle and subtract the slices, you get an answer that is easily calculated.
Note
The square on the upper right is 6 cm high. That makes the width of the rectangle 9 + 6 = 15. The length is already known as 15. So this square is 15 by 15 = 225
The lower right triangle is a little harder to handle. The total width is 15. The height of the triangle is 6 + 6. The first 6 comes from the square that was removed. The total with is 15. So the height of the lower right triangle is 15 - 12 = 3
Answer
The answer to the square on the upper left that was removed = 6*6 = 36
The answer to the triangle on the lower right is 1/2 * 6 * 3 = 9
The total of the removed figues is 36 + 9 = 45
The area of the figure with both figures removed is 225 - 45 = 180 cm^2
Junior's brother is 1 1/2
meters tall. Junior is 1 1/5
of his brother's height.
How tall is Junior?
Answer:
Step-by-step explanation:
1 1/5 of 1 1/2 meters
= (1+1/5) x (1+1/2)
= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2
= 1 + 1/2 + 1/5 + 1/10
= 1 + (1x5+1x2+1)/10
= 1 8/10
= 1 4/5 meters
Answer:
1 4/5 meters
Step-by-step explanation:
1 1/5 of 1 1/2 meters
= (1+1/5) x (1+1/2)
= 1x1 + 1x1/2 + 1x1/5 + 1/5*1/2
= 1 + 1/2 + 1/5 + 1/10
= 1 + (1x5+1x2+1)/10
= 1 8/10
= 1 4/5 meters
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
Solve the right triangle.
Round your answers to the nearest tenth.
Answer:
A = 48°
b = 13.5
c = 20.2
Step-by-step explanation:
✔️A = 180° - (90° + 42°) (sum of triangle)
A = 48°
✔️To find b and c, apply trigonometric function.
Reference angle = 42°
Opposite = b
Hypotenuse = c
Adjacent = 15
✅Apply TOA to find b:
Tan 42 = Opp/Adj
Tan 42 = b/15
15 × Tan 42 = b
13.5060607 = b
b = 13.5 (nearest tenth)
✅Apply CAH to find c:
Cos 42 = Adj/Hyp
Cos 42 = 15/c
c × Cos 42 = 15
c = 15/Cos 42
c = 20.1844909
c = 20.2 (nearest tenth)
You are considering a project in Bolivia that would generate 3 million dollars in cash flows per year going forever. The cost of the project is 10 million dollars. The discount rate for the project is 15%. You believe that there is some probability of expropriation prior to the 3rd year (after the 2nd cash flow). Which of the following statements is most correct?
a. This is a good project if the probability of expropriation is larger than.33.
b. This is a good project if the probability of expropriation is smaller than.33.
c. This is a good project if the probability of expropriation is smaller than .
d. This is a good project if the probability of expropriation is smaller than .66.
Answer:
b. This is a good project if the probability of expropriation is smaller than .33.
Step-by-step explanation:
a) Data and Calculations:
Cash inflows per year going forever = $3 million
Cost of project = $10 million
Discount rate for the project = 15%
The present of a perpetuity = Cash inflow/Discount rate
= $3/0.15 million
= $20 million
NPV = $10 million ($20 - $10 million)
b) The probability of expropriation indicates that the government of Bolivia may likely take over the project after the initial investment had been made. This will cause the investor to lose her investments. If the probability of the expropriation taking place is equal to 0.33, the investor may recover the cost of investment without making any profit in three years' time. But if the probability of expropriation happening is less than 0.33, the investor could recover enough to cover the investment cost.
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 8 units and base 6 units. 24 square units 48 square units 52 square units 64 square units
Answer:
Step-by-step explanation:
Area of parallelogram = base * height
= 6 * 8
= 48 square units
Answer:
Solution :-Area = Base × Height
Area = 6 × 8
Area = 48 units²
[tex] \\ [/tex]
A buoy is constructed out of the bottom half of a sphere with a cone on top. The radius of the sphere and the radius of the cone is 6 ft. The height of the buoy is 10 ft. What is the volume of the buoy?
Enter your answer, in exact form, in the box.
Answer:
The correct answer is 192pi
Step-by-step explanation:
I took the test and this was the correst answer
Composite shapes are made up of two or more shapes. The required volume of the composite shape in exact form is 498π cubic feet
How to calculate the volume of composite shapes?Composite shapes are made up of two or more shapes. According to the given question, the buoy is made up of a cone and sphere.
The volume of the buoy = volume of sphere + volume of the cone
Find the volume of the sphere
Vs = 4/3πr³
Vs = 4/3π(6)³
Vs = 288π cubic feet
Find the volume of the cone
Vc = 1/3πr²h
Vc = 1/3π(6)²(10)
Vc = 120π cubic feet
Volume of the buoy = 288π + 120π
V = 498π cubic feet
Therefore the required volume of the buoy in exact form is 498π cubic feet
Learn more on volume of composite shape here: https://brainly.com/question/12693294
what is 91,360 in expanded form
Answer:
Expanded Notation Form:
91,360 =
90,000
+ 1,000
+ 300
+ 60
+ 0
Expanded Factors Form:
91,360 =
9 × 10,000
+ 1 × 1,000
+ 3 × 100
+ 6 × 10
+ 0 × 1
Expanded Exponential Form:
91,360 =
9 × 104
+ 1 × 103
+ 3 × 102
+ 6 × 101
+ 0 × 100
Word Form:
91,360 =
ninety-one thousand three hundred sixty
Hope this helps! mark me as brainliest if possible, you dont have too!
Step-by-step explanation:
Guys I don't need you to answer the question I just want to know what the math is called
Answer:
that's the quadratic formula:)
Step-by-step explanation:
m(x) = -3x + -2
Find m(-4)
Answer:
3x +2 =5
and m(x) was x=5 ,= m= -4
please help me and fast
LOOK AT THE PHOTO AND HELP GIVE ME EXPLANATION
exterior angle
60 + 2x = 180 - 602x = 120 - 60x = 30then
x + y + 60 = 18030 + 60 + y = 180y = 180 - 90y = 90°Answer:
90 degrees
Step-by-step explanation:
The angle is a right angle, because its straight up. A right angle is always 90 degrees.
Answer choices
4 feet
5feet
6feet
8feet
Please help if you send a link I will report
Answer:
d
Step-by-step explanation:
only reasonable answer
What is the value of the expression shown?
24 − 62
A.-6
B.-12
C.12
Answer:
None
Step-by-step explanation:
3. You have a yard that has a width of 5 yd 1 ft and a
length of 30 ft. Find the simplified ratio of the width
to the length:
Answer:
5:47
Step-by-step explanation:
.........................................
Answer:
yes
Step-by-step explanation:
Answer:
.......
Step-by-step explanation:
Simplify: (3^5)^2 / 3^-2
A) 3^10
B) 3^9
C) 3^12
D) 3^8
Answer:
C
Step-by-step explanation:
(3^5)^2= 59049 divided
(3)^-2 = 0.11111111
531441 = 3^12
Someone help me please I will mark brainiest.
please help me with this asap
Answer:
76
Step-by-step explanation:
I rewrote the question so I wouldn't have to keep going back to the picture.
A poll asked 1000 adults who own smartphones where they put their smartphone while sleeping. The following two-way table of relative frequencies shows the data collected on age and smartphone habits. Of the adults polled, 200 were 65 or older.
How many of the adults polled that were 65 or older sleep with their smartphone within reach?
---------------------------------------------------------------------------------
I bet if I called this a two- way table of "percentages, written as decimals", it would make more sense.
Total number of adults 65 and older = 200. The 0.38 of them that sleep with their phone in reach = 38% of them. Multiply 200 x 0.38 = 76
To check the math, 200 x 0.62 = 124, and 124 + 76 = 200.
As always, please let me know if you have questions. I've answered each of your open questions as of now (11am CDT, USA)
How can I Write X^2 + 18 + 81 In factored form?
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Let's simplify step-by-step.
x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Combine Like Terms:
= x ^ 2 + 18 + 81
= ( x ^ 2 ) + ( 18 + 81 )
= x ^ 2 + 99
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
= x ^ 2 + 99
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
PLEASE HELP !!
ILL GIVE 40 POINTS !
PLUS BRAINLIEST!!
NO LINKS OR FILES.
Answer: answer is C my fellow hooman
Step-by-step explanation:
Answer:
It is B
Step-by-step explanation:
9+99999+99999-9999999999+9999999
Answer:
-9989799993
Step-by-step explanation:
Put it in a calculator
Ty for points
Answer:
Step-by-step explanation:
-989,799,993
if the value of 12.5% equals 4,000, what is the value of 87.5%?
Answer:
12.5%*7=87.5%
4000*7=28000
28000
Answer:
28,000
Step-by-step explanation:
Since 4,000 is 12.5%, you can divide 87.5/12.5 to see how many times 12.5 goes into 87.5, which is 7 times. so then since you need to find the value of how much 87.5% is, then you can multiply 4,000 by 7 since 7 is 87.5 percent, leaving us with 28000
squares rectangles and rhombl are types of trapezoids true or false
Answer:
false
Step-by-step explanation:
6 divided by 1/4 ? Answer it please
Answer:
the correct answer 24 i looked it up
I need this answer quick!
Answer:
Um we can’t see anything it’s just white
Step-by-step explanation:
!!ASAP!! Please help marking brainliest w/ points!!
—————-
Select yes or no for each expression to determine whether it is or can be written as a monomial!
Answer:
1. yes
2. no
3. yes
4. yes
5. no
Step-by-step explanation:
3. Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support
your answer.
Answer: b=2(square root of 2) and a=4
Step-by-step explanation:
Since this is a 45-45-90 triangle we know that side b is equal to [tex]b=2\sqrt{2}[/tex].
In a 45-45-90 triangle, the hypotenuse is equal to [tex]x\sqrt{2}[/tex] this means in order to find missing side length a, we have to multiply [tex](2\sqrt{2})(\sqrt{2})[/tex] this will give us 4
so the missing side lengths are, [tex]b=2\sqrt{2}[/tex] and [tex]a=4[/tex]
Answer: B = 2 (Square root of 2) A = 4
Explanation: This is an isosceles triangle so the legs will be the same. To get the hypotenuse I simply just multiplied one leg by the square root of 2 and two square roots of the same number multiply the whole number by whatever number is in the square root (so in this case it's multiplying 2 by 2)