Answer:
729 ways
Step-by-step explanation:
Given
Number of questions = 6
Choices = 3
Required
Number of ways of answering the questions
For each of the 6 questions;
There are 3 possible ways of selecting an answer;
The possible ways for the 6 questions is:
[tex]Possible\ Ways = 3 * 3 * 3 * 3 * 3 * 3[/tex]
[tex]Possible\ Ways = 729[/tex]
Hence, there are 729 ways of answering the question
can you draw a triangle with 90 degrees 60 degrees and 60 degrees
Answer:
no
Step-by-step explanation:
the sum of interior angles of a triangle should be 180
so the three possible angles would be 90 degree 60 degree and 30 degree
Answer:
[tex]\huge\boxed{\sf NO.}[/tex]
Step-by-step explanation:
The interior angles of a triangle must be adding to 180 degrees for it to "be" a triangle.
Let's check if 90°,60° and 60° are adding to 180°.
=> 90+60+60
=> 210° > 180°
Since they are not adding to 180°, a triangle with the given angles cannot be formed.
Which is a solution to the equation? (x −2)(x + 5) = 18 x = −10 x = −7 x = −4 x = −2
Answer:
Solutions:
[tex]x=-7[/tex]
[tex]x=4[/tex]
Step-by-step explanation:
[tex](x-2)(x + 5) = 18[/tex]
Expanding the factored form:
[tex]x^2+5x-2x-10=18[/tex]
[tex]x^2+3x-28=0[/tex]
Factoring the second-degree polynomial:
[tex](x+7)(x-4)=0[/tex]
This is true for
[tex]x=-7 \text{ or } x=4[/tex]
Answer:
B
Step-by-step explanation:
Ask Richard swim underwater his elevation changes and family for six minutes altogether a change in -30 feet what was the change in elevation drink each minute what was the change in elevation during each minute
Answer:
The change of elevation during each minute is -5 feet per minute
Step-by-step explanation:
Here in this question, we are interested in calculating the change in elevation during each minute given that there was a total change of -30 feet in six minutes altogether.
Now, to calculate the change in elevation during each minute, we need to assume that the change in elevation per each of the minutes is the same.
So to calculate the change in elevation during each of the six minutes, we simply divide the total change in elevation by the total number of minutes.
Mathematically, that would be -30 feet/6 minutes = -5 feet per minute
I need help with this!!!
Answer:
1. quarant 2
2. quadrant 1
3. quadrant 2
4. quadrant 4
5. quadrant 4
6. quadrant 2
7.quadrant 2
8. quadrant 3
Step-by-step explanation:
Which of the following expressions is the additive inverse of -40-42?
Answer:
it is -2
Step-by-step explanation:
Find the least common multiple (LCM)
Answer:
12 x^4 y^2
Step-by-step explanation:
6x^2y^2 and 12 x^4 y
First find the least common multiple of the coefficients
6 and 12
12 is the smallest number that they both go into
Then find the least common multiple of the x terms
x^2 and x^4
x^4 is the smallest that they both go into
Then find the least common multiple of the y terms
y^2 and y
y^2 is the smallest that they both go into
The least common multiple is
12 x^4 y^2
Answer:
12x4y2
Step-by-step explanation:
lcm is the smallest expression that is divisible by both expressions
(3)zach wishes to accumulate $50,000 in a fund at the end of 20 years. if he deposits $100 + x in the fund at the end of every 3 months for the first 10 years and $100 in the fund at the end of every 3 months for the second 10 years, find x to the nearest dollar if i(4) = .04. (ans $519.79)
Answer:
$519.79
Step-by-step explanation:
The formula is:
[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]
[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex] [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]
[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]
(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000
(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000
(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000
(100+x) (48.886373) (1.488864) + 4888.64 = 50000
(100+x) (72.785161) + 4888.64 = 50000
7278.5161 + 72.785161 x + 4888.64 = 50000
12167.1561 + 72.785161 x = 50000
72.785161 x = 50000 - 12167.1561
72.785161 x = 37832.8439
x = 37832.8439 / 72.785161
x = 519.787871
x = $519.79
Consider the tile pattern below. Completely describe what figure 100will look like. How many tiles will be in figure 100? Explain how you know
Answer:
101 up on the left
100 up on right
6 across the bottom
Step-by-step explanation:
their is always six along the bottom
up on the right is whateve number the figure is it increase one everytime
101 up on the left because figure one stats with 2 and from their one is added
The solution is
a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile
b) The number of tiles in figure 100 will be 601 tiles
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the figure 100 be represented as = a₁₀₀
Let the number of tiles in the first figure be a₁
The value of a₁ = 7 tiles
Let the number of tiles in the second figure be a₂
The value of a₂ = 13 tiles
So , the common difference of the arithmetic sequence is d
d = second term - first term
d = 13 - 7
d = 6
Now , the value of figure a₁₀₀ is calculated by the formula
Tn = a + (n - 1) d
Substituting the values in the equation , we get
a₁₀₀ = 7 + ( 100 - 1 ) 6
a₁₀₀ = 7 + ( 99 x 6 )
a₁₀₀ = 7 + 594
The value of a₁₀₀ = 601
Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile
And , the total number of tiles in the figure is 601 tiles
Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and
the number of tiles in figure 100 will be 601 tiles
To learn more about arithmetic progression click :
https://brainly.com/question/1522572
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Warm-Up 2: Three different animals were given a certain amount of money. A
bird was given $9.00, an octopus was given $36.00, and a bee was given $27.00.
Based on that information, how money would a dog be given? Explain and show
your thinking
Is this the full question?
find the value of X and y from the figure
Answer:
180° = x + (2x -15)
180°=3x-15
3x = 195
x =65°
x + y = 180°
65+ y= 180°
y = 115°
Answer:
x = 65, y = 115
Step-by-step explanation:
x and 2x - 15 are adjacent angles and supplementary, thus
2x - 15 + x = 180
3x - 15 = 180 ( add 15 to both sides )
3x = 195 ( divide both sides by 3 )
x = 65
y and 2x - 15 are congruent ( alternate angles ), thus
y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115
What is the range of the function represented by these ordered pairs?
Answer:
B
Step-by-step explanation:
The range of a data set is the y-coordinates of the ordered pairs.
So, we have the ordered pairs:
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
So, the range will be (the bolded numbers):
{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}
Thus, our answer is:
{-1, 0, 1, 7}
Note that the range should be in ascending order.
Also note that even though 7 appears twice, 7 is 7, so we only put one 7.
The answer is B.
solve for (x,y,z). x+y+z=3 -x+3y+2z=-8 x=4z
Answer:
x=4
y=-2
z=1
Step-by-step explanation:
x+y+z=3
-x+3y+2z=-8
x=4z
so
4z+y+z=3,
y+5z=3
y=3-5z
-4z+3y+2z=-8
3y-2z=-8
3(3-5z)-2z=-8
9-15z-2z=-8
-17z=-8-9
-17z=-17
z=1
x=4z=4×1=4
y=3-5z=3-5×1=3-5=-2
A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?
Answer:
The amount by which the sugar canister is smaller than the flour canister is 136 in³
Step-by-step explanation:
The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches
(5 and 1/2 = (5 1/2))
(3 and 1/2 = (3 1/2))
The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches
The volume of the rectangular prism = Length × Width × Height
∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³
The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³
The difference in volume between the flour canister and the sugar canister is given as follows;
220 in.³ - 84 in.³ = 136 in.³
The amount by which the sugar canister is smaller than the flour canister = 136 in.³.
Answer:
Yeah, what they said above.
Step-by-step explanation:
PLEASE HELP BRAINLIEST PLUS 5 STARS FOR ANSWER INCLUDE EXPLANATIONS PLZZZZZZZZZZZZZZZZZ
Answer:
Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.
Step-by-step explanation:
14x-34
I need help fast!
Answer:
15.3
Step-by-step explanation:
im not 100 percent sure if this is correct but i used a calculator so...
Write an absolute value equation that has solution x = -6 and x = 10
Answer:
|x - 2| = 8
Step-by-step explanation:
The midpoint between -6 and 10 is;
(-6 + 10)/2 = 4/2 = 2
This means that the distance between 2 and either -6 or 10 will be 8.
Now, the absolute value equation will have to say that the distance between x and 2 is 8.
Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.
This gives us the absolute value equation:
|x - 2| = 8
What is annual simple interest
Answer:
_____________________________________
The annual interest rate, sometimes called the standard annual interest rate or base rate, is the percentage value you usually see first when comparing financial products. It's the basic interest that you'll pay on your loan or earn on your savings account without taking compounding or fees into consideration.
_____________________________________
51.68 feet per hour. Convert this speed to inches per minute.
Answer:
10.336.
Step-by-step explanation:
There are 12 inches in 1 foot so 51.68 ft/hr
= 51.68 * 12 in/hr.
Now there are 60 minutes in an hour so the speed in inches/minute
= 51.68 * 12 / 60
= 10.336.
(〖5-1)〗^3 + (〖11-2)〗^2 + (〖7-4)〗^3
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
❀ [tex]\boxed{172}[/tex] ❀
[tex]\left(5-1)^3+(11-2\right)^2+(7-4)^3[/tex]
[tex]=4^3 + (11 - 2)^2 + ( 7 - 4)^3[/tex]
[tex]=64 + (11 - 2)^2 + ( 7 - 4)^3[/tex]
[tex]= 64 + 9^2 + ( 7 - 4 )^3[/tex]
[tex]= 64 + 81 + ( 7 - 4 )^3[/tex]
[tex]= 145 + ( 7 - 4)^3[/tex]
[tex]= 145 + 3^3[/tex]
[tex]= 145 + 27[/tex]
[tex]= 172[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
For every paycheck you receive, your employer pays 6% to social security. Write this percent as a ratio with a denominator of 100.
Answer:
6/100
Step-by-step explanation:
Since x% means x/100, that means 6% = 6/100.
If you would like more tutoring on math or other subjects for FREE, check out growthinyouth.org.
Mr Dominguez spends three weeks training for a marathon. Every day he runs 1/2 mile more than the day before. If the first day he ran 6 miles, how many will he run on the 21st day?
1-3 Calculating a Weekly Time Card
Is that the question?
2/5 in fraction form
Answer:
2/5 is already a fraction.... it's an improper fraction.
HELP WILL MARK BRAINLIEST HEEEELPPP!!!!!!!!! Four people need to cross a dark river at night.They have only one torch and the river is too risky to cross without the tourch. if all people cross simultanoesly then torch light wont be sufficient.Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the river ?
Answer:
13 minutes
Step-by-step explanation:
Person 1: 1 min
Person 2: 2 min
Person 3: 7 min
Person 4: 10 min
Person 1, 3, and 4 cross first, which will take 10 minutes.
Then, Person 1 comes back, taking 1 minute.
Person 1 and Person 2 cross the river, taking 2 minutes.
10 + 1 + 2 = 13 minutes.
Question 1 (2 points) The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. a. What is the time in seconds the toy robot moves when the total distance is 408 centimeters? Seconds b. What is the distance in centimeters the toy robot moves after 3 seconds? Centimeters
Answer:
a. [tex]T = 17s[/tex]
b. [tex]D = 72cm[/tex]
Step-by-step explanation:
Given
Direct Variation
[tex]Distance(D)\ \alpha\ Time (T)[/tex]
D = 264 cm when T = 11 s
Calculating (a)
First, the constant of variation (k) as to be calculated;
Since, there exist a direct proportion; then,
[tex]D\ \alpha\ T[/tex]
[tex]D = kT[/tex]
Make k the subject of formula
[tex]k = \frac{D}{T}[/tex]
D = 264 cm when T = 11 s; So
[tex]k = \frac{264}{11}[/tex]
[tex]k = 24[/tex]
So: Solving for (a)
[tex]D = 408[/tex]
Substitute 408 for D and 24 for k in [tex]D = kT[/tex]
[tex]408 = 24 * T[/tex]
Divide both sides by 24
[tex]\frac{408}{24} = T[/tex]
[tex]T = \frac{408}{24}[/tex]
[tex]T = 17s[/tex]
Hence, time to move a distance of 408cm is 17s
Calculating (b)
[tex]T = 3[/tex]
Substitute 3 for T and 24 for k in [tex]D = kT[/tex]
[tex]D = 24 * 3[/tex]
[tex]D = 72cm[/tex]
Hence, distance covered in 3 seconds is 72cm
Explain the 2 different answers you can get when solving an equation and the variable is eliminated.
When you're solving an equation, there are three possibilities. Two of which are chosen if your statement is true or not.
If you're able to get x alone, there is one solution. However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.
If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.
the marked price of
b) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
18% discount, there is a loss of Rs 20. Calculate the marked price and the selling price
of the fan.
min of
Answer:
MP = Rs. 1500
SP = Rs. 1230
Step-by-step explanation:
Let the Cost Price (CP) be x
Then Market Price (MP):
MP = x+ 20% = 1.2xDiscounted Selling Price (SP):
SP = MP - 18% = 0.82*1.2x = 0.984xSince the difference between CP and SP is Rs.20:
x - 0.984x = 200.016x = 20x= 20/0.016x = 1250Then:
MP = 1.2*1250= Rs. 1500and
SP = 1500*0.82 = Rs. 123013 people fit comfortably in a 5 foot by 5 foot area. Use this value to estimate the size of a crowd that is 5 feet deep on one side of the street along a 4 mile section of a parade route.
Answer:
There are 203069 people in the crowd
Step-by-step explanation:
The first step in solving this problem is to ensure that we are working with the same units throughout the solution process. To do this, we will have to convert 4 miles to feet. (This is because every other unit is in feet).
Note: ( 1 mile =5280 feet)
4 miles = 21120 feet.
The next step is to calculate the area that the entire parade is occupying. This can be done by multiplying the length of the parade by the breadth. In this case, it will be 21120ft X 5 ft = 105600 square feet.
We can now at this point, find the area occupied by only one person.
if 13 people occupy 25 square feet (5ft X5 ft)
1 person will occupy 25/13 = 1.92 square feet
We can finally get the number of people in the crowd by multiplying the area occupied by the whole crowd by the area of one person. This will be
105600 X 1.92= 203069 people in the crowd
Is the expression X^3 equivalent to X^3•3•3
Answer:
I think if you take the x out it would be equivalent
Step-by-step explanation:
3•3•3
A vehicle covers of 43.2km in 2.4liters of petrol .How much distance will it cover in 1 liter of petrol
Answer:
18kmStep-by-step explanation:
[tex]Distance_1 = 43.2km\\Litres\:of petrol_1 = 2.4 \:litres\\Distance_2 = ?\\Litres_2 = 1 litre\\\\Use\: Proportion ;\\\\43.2 \:km = 2.4\:litres\\x \:km \:\:\:\:= 1 \:;litres\\\\Cross\:multiply\\\\2.4 \times x= 43.2 \times 1\\2.4x = 43.2\\\\Divide \:both\:sides\:of\:the\:equation\:by\:2.4\\\frac{2.4x}{2.4} = \frac{43.2}{2.4} \\\\x = 18 \: km[/tex]