Answer:
1) 8 m^3
2) 125 + 25
3) 8
Step-by-step explanation:
1) It's a cube shape => length = width = height = 2 m
Volume = length × width × height = 2 × 2 × 2 = 8 m^3
2) 5^2 + 5^3 = 150
25 + 125 = 150
3) Now she is 8 years old (8 = 2^3)
Next year she'll be 9 years old (9 = 3^2)
100 points, PLEASE HELP MEEE
Answer:
b = 3a
Step-by-step explanation:
a = < - 1, 3 >
b = < - 3, 9 >
Thus
b = 3a
Answer:
b = 3a
Step-by-step explanation:
Write an equation for a circle with center (-2, 8) and radius 9.
The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
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A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Answer: Probability = 90%
Step-by-step explanation:
In a drawer we have:
2 black shirts
7 white shirts
11 gray shirts
If we would randomly pick a shirt, what are the chances of it not being black?
To do that, we first need to calculate the probability of getting a black shirt.
To calculate that, we need to divide the number of black shirts by the total number of shirts.
Black shirts = 2
Total shirts = 2 + 7 + 11 = 20
That will be 2 black shirts divided by 20.
We get 0.1
If we multiply 0.1 by 100%, we get a 10% chance to get a black shirt.
Now, to know to chances of not getting a black shirt, we just need to subtract 10% from 100%.
And that will be 90% chances of not getting a black shirt.
Probability = 90%
Hope I Helped!
a city's monthly precipitation amounts, in inches, for the last two years are recorded in the table. which histogram corresponds to the table?
Based on the given histograms, and the table on the city's monthly precipitation amounts, the histogram that corresponds to the table is Histogram 1.
Which histogram is the appropriate fit?The number of months with 0 - 1.992 inches is 8 months which means that the first bar on the histogram of between 0 to 2 inches should reach the 8 month mark.
6 months had 1.992 - 3.994 inches so the next bar should stop at the 6th month mark. The next bar should stop at the 4 month mark.
The one after that should stop at the 5 month mark. The last bar would stop at the 1 month mark.
The only histogram that has this is histogram 1 which is not shown clearly but it likely the only one with these qualities as the others don't have it.
Rest of the question:
Amount (inches) 0 - 1.992 - 3.99 4 -5.996 - 7.998 - 9.99
Number of Months 8 6 4 5 1
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Help Me. I need to get back on track on common factors and factors.
Answer:
A) 1, 2, 4
Hope this helps you!
Answer:
A. 1, 2, 4
Step-by-step explanation:
32= 1*32, 2*16, 4*8
36* 1*36, 2*18, 3*12, 4*9, 6*6
Common factors: 1, 2, 4
So the Answer is A.
the ratio of the teacher and student of Nepal Secondary School is 1:32. if the number of teachers of that school is 25 find the number of students
Answer:
The number of students is 800
1 teacher=32 students
25 teachers=?
(32×25)/1
800
Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. chris is playing a card game with his friends. the game uses only the four aces from a standard deck of cards. for each move, a player draws one card, replaces it, and then draws the second card. the probability that a player draws two cards of the same color is . the probability that a red ace is drawn first and then a black ace is
The probability that a red ace is drawn first and then a black ace is mathematically given as
x=1/4
What is the probability that a red ace is drawn first and then a black ace?Where
Sample mean=(x,y)\, x, y \in \{h,d,c,s\}
If we want a player to draw two cards of the same color from their deck, the following combinations of cards are appropriate choices:
[tex](h,h),\ (h,d),\ (d,h),\ (d,d),\ (c,c),\ (c,s),\ (s,c),\ (s,s)[/tex]
Generally, 8 possible pairings above 16. This indicates that the likelihood of a player drawing two cards of the same color is 8/16, which is equivalent to a probability of half.
In conclusion, In a similar vein, the following pairs of cards illustrate the likelihood of obtaining a black ace after having drawn a red ace in the previous round:
[tex](h,c),\ (h,s),\ (d,c),\ (d,s)[/tex]
Giving
x=4/16
x=1/4
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Answer:
1/4
Step-by-step explanation:
What value of x is in the solution set of 3(x – 4) ≥ 5x 2? –10–5510
3(x-4) ≥ 5x +2
3*x - 3*4 ≥ 5x +2
3x - 12≥ 5x - 2
-12 + 2 ≥ 5x- 3x
-10 ≥ 2x
2x ≤ -10
x ≤ -5
hich of the following descriptions matches the tree diagram below?
Answer:
B
Step-by-step explanation:
There is 2 options, win and lose, no tie so 3 and 4 get cancelled. there are only 2 roots so 1 gets cancelled leaving 2 (B)
Someone or anyone pls help me, I just want the answers pls it’s so urgent
Step-by-step explanation:
The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY
For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.
For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.
most everyday purchases at the store are labeled with the piece of the item before sales tax. Which expression could be used to find the amount of tax
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
The complete question is
Most everyday purchases at the store are labeled with the price of the item before sales tax. Which expression could be used to find the amount of tax? Amount of Tax = Original Price + Total Cost Amount of Tax = (Total Cost)(Original Price) Amount of Tax = (Original Cost)(Tax %) Amount of Tax = (Total Cost)(Tax %)
What is Tax ?Tax is the % of the amount taken by the government on the sales or income of a person , There are many kinds of taxes imposed on various sectors.
The amount of tax is taken on the cost of the product ans thus can be represented by
Amount of Tax = (Original Cost)(Tax %) , Option C is the right answer.
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Barry’s Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barry’s will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barry’s will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.)
The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.
How to compute the value?a = 25
d = 5
The fifth year will be:
= a + (n - 1)d
= 25 + (5 - 1)5
= 25 + (4 × 5)
= 45
The 14th year will be:
= a + 13d
= 25 + 13(5)
= 90
The 26th will be:
= a + 25d
= 25 + 25(5)
= 150
The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:
Year 10 = n/2[2a + (n - 1)d]
= 10/2[5(25) + 45]
= 475
Year 22 = 25[50 + 245]
= 1705
Year 50 = 25(50 + 245)
= 7375
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Which expression is equivalent to
(3²)
Answer:
3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9Step-by-step explanation:
Which expression is equivalent to
(3²)
3² = 9
3 + 6 = 92 + 1 + 4 + 2 = 918 : 2 = 93 + 3 + 3 = 9X +4
2 - 16
lim
X→-4 X
I'm going to assume you meant to say
[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16}[/tex]
Factorize the denominator to reveal a removable discontinuity in the limand:
[tex]\dfrac{x+4}{x^2-16} = \dfrac{x+4}{(x+4)(x-4)}[/tex]
In the limit, we're considering values of x *near* -4, and not x = -4 itself. So we can cancel the factors of x + 4 and we're left with
[tex]\displaystyle \lim_{x\to-4} \frac{x+4}{x^2-16} = \lim_{x\to-4} \frac1{x-4} = \frac1{-4-4} = \boxed{-\frac18}[/tex]
Think of 5 positive integers that have a mode of 3, a median of 5, a mean of 7 and a range of 12.
For the mode to be 6, there has to be at least two 6s.
For the median to be 6, with two 6s, there must be at least one number above 6.
For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.
8+6=?
what is the answer to the question
Answer: 14
Step-by-step explanation:
because 8 +4 is 14
Which of the following is needed to construct a hexagon?
OA. Six obtuse triangles
OB. Six isosceles triangles
OC. Six right triangles
OD. Six equilateral triangles
The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.
What is needed to construct a hexagon?
By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.
On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.
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Answer:
The correct answer is six equilateral triangles.
Step-by-step explanation:
The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.
Convert 15 degree Celsius into Fahrenheit
Answer:
59 ° F
Step-by-step explanation:
F = 9/5 C + 32
= 9/5 (15) + 32 = 59 ° F
Tom was able to save 35% more this year than he did last year. If he saved $140 last year, how much did he save this year?
Answer:
$189
Step-by-step explanation:
35% of 140 = 49
140 + 149 = 189
Tom's total saving this year is $189.
It is a 35 percent increased saving from last year's $140.
What are percentages?Percentages are fractional values where the denominator is fixed to be 100.
To convert percentage into number, we multiply by 100.
How to solve the question?In the question, we are informed that Tom was able to save 35% more this year than he did last year.
We are asked if he saved $140 last year, then how much did he save this year.
The increase in Tom's savings = 35% of last year's savings,
or, the increase = 35/100 * 140 (To convert percentage into quantity, we divide by 100).
or, the increase = $49.
Therefore, Tom's total savings this year = Last year's savings + Increase,
or, Tom's total saving this year = $140 + $49 = $189.
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Two candles are light at the same time one burns for 6 hours and the other one lasts 2 hours. The first candles flame is 3 times longer than the other ones. How long do the both candles burn for? (please write with the way you found the answer I will give brainliest.)
At 150 minutes the length of the first candle is 3 times that of the other.
The complete question is
There are two candles of same length and same size. Both of them burn at uniform rate. The first one burns in 5 hours and the second one burns in 2 hours. Both the candles are lit together. After how many minutes the length of the first candle is 3 times that of the other?
What is an Equation ?When two algebraic expression are equated using an equal sign an equation is formed.
First candle burns for 5 hours
Second candle burns for 2 hours
Let the length of candle be l.
After t time (in minutes), length of first candle =l−(lt/300)
Length of second candle =l− (lt/120)
From the data given
l - (lt/120) = 3 * (l−(lt/300))
On simplifying
4t = 600
t = 150 minutes
Therefore after 150 minutes the length of the first candle is 3 times that of the other.
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find the surface area of the prism
The area of a 2D form is the amount of space within its perimeter. The surface area of the prism is 232 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the prism is,
Surface area = 2 [(2 × 8)+(8 × 10)+(2 × 10)]
= 232 in²
Hence, the surface area of the prism is 232 in².
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Wich seires of transformations will not map figure L onto itself
Answer:
cheesefnekeeorknfdndndndn
Vector u has initial point P at (0, 0) and terminal point Q at (5, -8). What are the component form and magnitude of u?
• u = (5, -8): ||u|| = -√89
• u = (5, 8): ||u|| = -√89
• u = (5, -8): ||u|| = √89
• u = (5, 8): ||u|| = √89
The correct option for the given vector is the third one:
u = (5, -8): ||u|| = √89What are the component form and magnitude of u?If the initial point is (0, 0), then the component form of the vector is just equal to the terminal point of the vector.
Then we have:
u = (5, -8)
For a vector w = (x, y) the magnitude is:
[tex]||w|| = \sqrt{x^2 + y^2}[/tex]
In this case, the magnitude will be:
[tex]||u|| = \sqrt{5^2 + (-8)^2} = \sqrt{89}[/tex]
Then the correct option is the third one.
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Give the values of a, b, and c needed to write the equation's general form.
(x - 3)2 = 0
1. a = 1; b = -3; c = 0
2. a = 1; b = -6; c = -3
3. a = 1; b = -6; c = 9
The values of a, b, and c are needed to write the equation's general form will be a = 1; b = -3; c = 0.Option A is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given equation;
x²-3x=0
The quadratic equation in the form is;
ax² + bx + c = 0
On putting the values of the options one by one we will get the answer;
1 x²+(-3)x+0
x²-3x=0
Hence, option A is corect.
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Given the functions below, find g(5) + h(2).
g(x) = 2x - 5
h(x) = 4x + 5
Answer:
18
Step-by-step explanation:
substitute x = 5 into g(x) and x = 2 into h(x)
g(5) + h(2)
= 2(5) - 5 + 4(2) + 5
= 10 - 5 + 8 + 5
= 5 + 13
= 18
What is the solution to the following system of equations? (1 point)
x − 3y = 5
2x + y = 10
(5, 0)
(0, 5)
(7, 0)
(0, 7)
Answer:
Step-by-step explanation:
Simplify cubed 5 -10/27
The correct answer for the given expression is 99.22.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The expression will be solved as:-
E = [tex]({5 -\dfrac{10}{27}})^3[/tex]
E = [tex](\dfrac{135-10}{27})^3[/tex]
E =[tex]\dfrac{125}{27}^3[/tex]
E = 99.22
Therefore the correct answer for the given expression is 99.22.
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Solve the following system of equations. What is one x-value of a solution? f(x)=x^(2)+7x-24 g(x)=-3x-40
One x- value of the solution is : -2 or -8
What is an equation?An Equation is an algebraic statement that shows that two quantities are equal.
Analysis:
for one x-value of a solution, f(x) = g(x)
[tex]x^{2}[/tex] + 7x -24 = -3x - 40
[tex]x^{2}[/tex] +7x +3x -24 +40 = 0
[tex]x^{2}[/tex] + 10x +16 = 0
[tex]x^{2}[/tex] +8x +2x +16 = 0
x(x+8) +2(x+8) = 0
(x+2)(x+8) = 0
x = -2 or -8
In conclusion, the values of x are -2 or -8
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A circle centered at the origin contains the point
(0, -9). Does (8, √17) also lie on the circle? Explain.
O No, the distance from the center to the point
(8, √17) is not the same as the radius.
O No, the radius of 10 units is different from the
distance from the center to the point
(8, √17).
O Yes, the distance from the origin to the point
(8, √17) is 9 units.
O Yes, the distance from the point (0, -9) to the point
(8, √17) is 9 units.
Approximate value of √17
~4+So the point is (8,4)
As we can see in graph the point is contained by the circle
Hence the distance
√(0-8)²+(9-4)²√8²+5²√89Approximately 9 units
Option D
Answer:
Yes, the distance from the origin to the point (8, √17) is 9 units
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radiusGiven:
center = (0, 0)r = 9Substitute the given values into the formula to create the equation of the circle:
[tex]\implies (x-0)^2+(y-0)^2=9^2[/tex]
[tex]\implies x^2+y^2=81[/tex]
To find if point [tex]\sf (8, \sqrt{17})[/tex] lies on the circle, substitute x = 8 into the found equation and solve for y:
[tex]\implies 8^2+y^2=81[/tex]
[tex]\implies 64+y^2=81[/tex]
[tex]\implies y^2=81-64[/tex]
[tex]\implies y^2=17[/tex]
[tex]\implies y=\sqrt{17}[/tex]
As y = √17 when x = 8, this proves that point (8, √17) lies on the circle.
The distance from the origin to any point on the circle is the radius.
Therefore, as the radius is 9 units, the distance from the origin to the point (8, √17) is 9 units.
Here is a sketch of y=x^2 +bx+c
Answer:
Step-by-step explanation:
