Answer:
maby option 5
Step-by-step explanation:
There are 52 cards in a standard deck. Thirteen of those cards are spades . The deck is shuffled and a group of 3 cards is dealt . How many different combinations of three spades are possible ?
Answer:1716
Step-by-step explanation:
13 spades is choice 1
13-1=12
12 spades are left in the draw to be taken so 13*12
12-1=11
11 spades are left so 13*12*11
Guided Practice
You drop a handball from a height of 100 centimeters. Each curved path has 64% of the height of the previous path.
Write a rule for the sequence using centimeters. The initial height is when n = 1.
What height will the ball reach at the top of the sixth path?
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
B.
an=0.64 · (100)n−1a subscript n baseline equals 0.64 times left parenthesis 100 right parenthesis superscript n minus 1 baseline; about 0.11 cm
C.
an=1 · (0.64)n−1a subscript n baseline equals 1 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; 6,400,000,000 cm
Answer:
The correct choice is (A)
Answer:
A.
an=100 · (0.64)n−1a subscript n baseline equals 100 times left parenthesis 0.64 right parenthesis superscript n minus 1 baseline; about 10.74 cm
Step-by-step explanation: I got it off of the internet
Step 1 of 1
In geometric sequence, the ratio between two consecutive terms is constant. This ration is called the common ratio.
Consider the following sequence:
Thus the common ratio of the sequence is .
...............................................................................................................................................
You drop a handball from a height of 1 meter. Each curved path has 64% of the height of the previous path. A. A(n)= 100*(0.64)^n-1
which describes a greater unit rate of change of Y with respect to X the equation Y = 4.5x or the table
Answer:
The proportional relationship is same
Step-by-step explanation:
Generally, we can get the unit rate by dividing the y-value by the x-value
This will be;
9/2 or 18/4 or 27/6 = 4.5
from what we have y = 4.5x
Now, as we can see, the proportional relationship is same
What is the area of a hexagon with an apothem of 24 m?
Answer:
Area of Hexagon = 1,995 m² (Approx.)
Step-by-step explanation:
Given:
Length of apothem = 24 m
Number of total sides = 6
Find:
Area of Hexagon
Computation:
Side = a[2tan(180/n)]
Side = 24[2tan(180/6)]
Side = 24[2tan(30)]
Side = 27.71 m (Approx.)
Area of Hexagon = [3√3a²]/2
Area of Hexagon = [3(1.732)(27.71)²]/2
Area of Hexagon = [3(1.732)(767.8441)]/2
Area of Hexagon = 3989.71794 / 2
Area of Hexagon = 1994.8589
Area of Hexagon = 1,995 m² (Approx.)
Sam bought an electric iron as a price of 25 less than the original price if the original price of it is $2500 at what price did Sam buy the electric iron
Answer:
$2475 or $1875
Step-by-step explanation:
Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475
However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625
$2500-$625= $1875
which of the following choices evaluates 2f^2 + (h-g)^3 when f=2, g=3, and h=4
a: 11
b: 3
c: 9
How much money will be in a bank account after 7 years if $8 is deposited at a interest rate of 5% compounded annually? Round to the nearest dollar
Ps need help ASAP
What slope would make the lines
parallel?
Answer:
answer = 3
Step-by-step explanation:
same slope and different y-intercept would make the two lines parallel. hope this helps <3
Answer:
When two lines are parallel they have an equal slope.
[tex]y=\frac{1}{3} x-3[/tex]OAmalOHopeO
a cooler has 60L capacity. its internal length is 60cm and its internal width is 35cm. Determine the internal height and the internal surface area of the cooler.
Answer:
Internal height is approximately 28.5714285714286 cm
Internal surface area is roughly 9628.57142857143 square cm
Round the values however you need to
==========================================================
Step-by-step explanation:
Work Shown:
1 L = 1000 mL
1 L = 1000 cm^3
60 L = 60,000 cm^3 (multiply both sides by 60)
The cooler has volume of 60,000 cubic cm. Let V = 60000
Assuming the cooler is a rectangular prism (aka a block), then we can say
volume = length*width*height
V = L*W*H
60000 = 60*35*H
60000 = 2100H
2100H = 60000
H = 60000/2100
H = 28.5714285714286 which is approximate
And the surface area (SA) is
SA = 2*(LW + LH + WH)
SA = 2*(60*35 + 60*28.5714285714286 + 35*28.5714285714286)
SA = 9628.57142857143 which is also approximate
Units for the surface area are in square centimeters.
Find the volume of this sphere please.
As soon as possible…
Answer:
32cm^3
Step-by-step explanation:
(4/3)*3*(2)^3=32
Need help please!
(5^3)^6
Answer:
[tex]5^{18}[/tex]=3,814,697,265,625
Step-by-step explanation:
Multiply the exponents
3×6=18
[tex]5^{18}[/tex]
Answer:
Simplest value of given expression = 5¹⁸
Step-by-step explanation:
Given algebraic equation;
[5³]⁶
Find:
Simplest value of given expression
Computation:
Given fraction [5³]⁶
Using Property of exponents
[Xᵃ]ᵇ = X ᵃ ˣ ᵇ
So,
Using Property of exponents
⇒ [5³]⁶
⇒ 5 ³ ˣ ⁶
⇒ 5¹⁸
Simplest value of given expression = 5¹⁸
Which equation justifies why ten to the one third power equals the cube root of ten?
Answer:
Step-by-step explanation:
AC and D are all wrong. The all add or subtract something from 3 which is not going to keep the two sides of the equation equal.
Only B is correct. To get the two sides equal, you need to multiply the powers by the same constant. B does this. The powers and the constant 1/3 * 3 are the same on both sides.
Describe how the rate of change and initial value of the linear function are represented in the graph of the function
Answer:
c on edge
Step-by-step explanation:
How many solutions does 8x=−9+7x have?
Answer:
The equation has only one solution, x = -9
Step-by-step explanation:
We want to find how many solutions the equation:
8x = -9 + 7x
has.
To find it, let's simplify the equation.
First, let's move all the terms with x to the left side, and the terms without x to the right side:
8x - 7x = -9
(8 - 7)*x = -9
1*x = -9
x = -9
So we can see that we have only one solution, x = -9
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 36m2. He knows that the base must be 1 less than 2 times the height. Find the equation that correctly shows the area of the triangle.
A. x(2x - 1) = 36
B. 1/2x(2x - 1) = 36
C. 1/2x(2x - 1) = 18
D. x(2x - 1) = 18
Answer:
Equation for area = 36 = [1/2]x[2x - 1]
Step-by-step explanation:
Given:
Area of triangle = 36 m²
Length of base = 2(Height) - 1
Find:
Equation for area
Computation:
Assume;
Height = x
Area of triangle = (1/2)(b)(h)
36 = (1/2)[2(x) - 1][x]
36 = [1/2]x[2x - 1]
Equation for area = 36 = [1/2]x[2x - 1]
Instructions: Find the measure of the indicated angle to the nearest degree.
Step-by-step explanation:
I don't have a calculator with me right now but I can give you the equation to work out your answer.
cos-1(35/38)
There should be a function of "cos-1" on you're calculator, not just "cos"
hope it helps :)
Which of the following are solutions to the equation below?
Check all that apply.
x^2 + 4x-9 = 5x + 3
Answer:
Answer:
x=−3 & x=4
Step-by-step explanation:
Step 1: Subtract 5x+3 from both sides.
x2+4x−9−(5x+3)=5x+3−(5x+3)
x2−x−12=0
Step 2: Factor left side of equation.
(x+3)(x−4)=0
Step 3: Set factors equal to 0.
x+3=0 or x−4=0
x=−3 or x=4
Answer:
x=4 x=-3
Step-by-step explanation:
x^2 + 4x-9 = 5x + 3
Subtract 5x from each side
x^2 + 4x-5x-9 = 5x -5x+ 3
x^2 +-x-9 = 3
Subtract 3 from each side
x^2 -x-9-3 = 3-3
x^2 -x -12 =0
Factor
What 2 numbers multiply to -12 and add to -4
-4*3 = -12
-4+3 =-1
(x-4)(x+3) =0
Using the zero product property
x-4 =0 x+3 =0
x=4 x=-3
What is the perimeter of the triangle?
Please help me please!!
Answer:
Extracting out that inner right angle.
Hypotenuse = 8
Height = h
Adjacent :
[tex] = \frac{10}{5} = 2[/tex]
Height, h :
[tex]{ \tt{h = \sqrt{ {8}^{2} - {5}^{2} } }} \\ { \tt{h = \sqrt{64 - 25} }} \\ { \tt{h = \sqrt{39} }} \\ the \: height \: is \: { \boxed{6.2}} \: units[/tex]
Prove the following: 1 by sin 2A + cos4a by sin 4A equals to COT A minus Cosec4A
Answer:
nice thanks for answer
Answer:
cotA-cosec4A
Step-by-step explanation:
LHS=1/sin2A + cos4A/sin4A
=1/sin2A +cos4A/2sin2.Acos2A
=1/sin2A (1+cos4A/2cos2A)
=1/sin2A(2cos2A+cos^2A-sin^3A)/2Cos2A
=1/sin2A(2cos2A+cos^2Ac-(1-cos^2A)/2cos2A
=1/sin2A(2cosA(1+cos2A)-1)/2cos2A
=1/sin2A(1+cos2A-1/2cos2A)
=1+cos2A/sin2A-1/sin2A.cos2A
=1+2cos^A-1/2sinA.cosA-1/sin4A
=2cos^A/2sinA.cosA-1/sin4A
=cosA/sinA-1/sin4A
=cotA-cosec4A
=LHS=RHS
What values complete the table if y = x√3
x
3
?
Answer:
O . A) -3, 0 , 3
Step-by-step explanation:
Since y is equal to
[tex] \sqrt[3]{x} [/tex]
Just replace X with the values in the first box
Triangle DEF is simliar to triangle QRS. If side QR is 1.5 times the length of side DE, and side RS has a length of 6, what is the length of side EF? Also, there is no picture for this question.
Answer:
4
Step-by-step explanation:
the scaling factor is 1.5 to go from DEF to QRS.
so,
EF × 1.5 = RS = 6
EF = 6 / 1.5 = 6/1 / 3/2 = 6×2 / 1×3 = 12/3 = 4
The multiplicative inverse of -3/11 × 1/5 is
Answer:
-55/3
Step-by-step explanation:
-3/11 x1/5
-3/55
Multiplicative inverse means Reciprocal of -3/55 [That means the numerator goes to the denominator and the denominator to the numerator]
=> -55/3
Chamblee High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders
were placed and they totaled $195, how many roses and carnations were ordered?
100 roses and 100 carnations
60 roses and 10 carnations
125 roses and 75 carnations
50 roses and 145 carnations
Answer: Choice B) 60 roses and 10 carnations
============================================================
Explanation:
r = number of rosesc = number of carnationsr and c are positive whole numbers.
r+c = total number of flowers = 50, since 50 orders are made.
The first equation to set up is r+c = 50.
This equation can be solved to get r = 50-c.
------------------
3r = cost of all the roses only, in dollars
1.5c = cost of all the carnations only, in dollars
3r+1.5c = total cost of all the flowers = 195 dollars
3r+1.5c = 195
------------------
Let's apply substitution to solve
3r+1.5c = 195
3(50-c)+1.5c = 195
150-3c+1.5c = 195
-1.5c+150 = 195
-1.5c = 195-150
-1.5c = 45
c = 45/(-1.5)
c = -30
That's not good. We shouldn't get a negative value.
It turns out that the condition r+c = 50 should be ignored. Notice how none of the answer choices listed have r+c leading to 50.
So we'll only focus on the equation 3r+1.5c = 195
-----------------
If we plugged in r = 100 and c = 100, then we get
3r+1.5c = 195
3(100)+1.5(100) = 195
300+150 = 195
450 = 195
Which is false. So we can rule out choice A
Let's repeat those steps for choice B
3r+1.5c = 195
3(60)+1.5(10) = 195
180 + 15 = 195
195 = 195
So that works out. I have a feeling your teacher meant to say "70 orders" instead of "50 orders". If so, then the equation r+c = 50 would be r+c = 70 and everything would lead to choice B as the final answer.
Choices C and D are similar to that of choice A, so they can be ruled out.
Two numbers are in the ratio 2:3 and their sum id 45 then find both number
Answer:
Step-by-step explanation:
Let the two numbers be 2x and 3x.
According to the question,
2x+3x=45
5x=45
x=45/5
x=9
so th required numbers are 18 and 27 as
2x=2*9=18
3x=3*9=27
It is given that,
→ Two numbers are in the ratio 2:3.
→ Their sum is 45.
We have to,
find the both required numbers.
Now assume numbers as,
→ 2y and 3y
As per the given information,
→ 2y + 3y = 45
First we can find the value of y,
→ 2y + 3y = 45
→ 5y = 45
→ y = 45/5
→ [y = 9]
The given ratio is,
→ 2 : 3
Let's find the value of 2y,
→ 2y --- {y = 9}
→ 2 × (9)
→ 18
Let's find the value of 3y,
→ 3y --- {y = 9}
→ 3 × (9)
→ 27
Hence, the number is 18 and 27.
If the product of roots of the equation given below is 4, then find the value of m.
Answer:
m=-2
Step-by-step explanation:
As the product of the roots of a quadratic equation is c/a in ax^2+bx+c=0
here a=2, b=+8, c=-m^3
Given c/a=4
-m^3/2=4
-m^3=8
m^3= -8
m=-2.
Given: APRS, RS=10
mZP=45º, mzS=600
Find: Perimeter of APRS
Answer:
Perimeter of ΔPRS = 35.91 units
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in the given triangle PRS,
m∠P + m∠R + m∠S = 180°
45° + m∠R + 60° = 180°
m∠R = 75°
By applying sine rule,
[tex]\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}[/tex]
PR = 12.25 units
[tex]\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
PS = 13.66 units
Perimeter of triangle PRS = PR + PS + RS
= 12.25 + 13.66 + 10
= 35.91
H I wanted to ask if that in high school math is harder than middle school?
Answer:
Yes, it is harder.
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
The cost of a book is $x what is the expression in terms of x for the number of these books which are bought for $40
Answer:
In x dollars,
number of book that can be bought = 1
So, In 1 dollar,
number of books that can be bought = 1/x
Hence in 40 dollars,
number of books that can be bought = 40/x
Answer:
40/x
Step-by-step explanation:
The cost of 1 book is $X.
You bought (?) books for $40.
If you want to know how many books you bought, divide the total cost of books ($40) by the cost of 1 book ($X).
A game increased in price by 12. After the increase it was priced at £27. What was the original price of the game?
Answer:
15
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
you divide 27 by 2 and get 13.5