Using the diameter concept, we have that the correct option is given by:
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
What is the diameter of a circular or spherical object?The diameter of a circular or spherical object is the largest distance that can be formed between two parallel lines to it's boundary, hence, basically, the lateral distance occupied by the object.
For this problem, the diameter is in inches, while the available box is in cm, hence we have to convert the diameter to cm.
Each inch has 2.54 centimeters, hence the diameter of ball is of 9.55 x 2.54 = 24 (approximately) < 25, hence it will fit and the correct option is given by:
The ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.
More can be learned about diameters at https://brainly.com/question/23220731
#SPJ1
Find the equation of the line shown.
Answer: y=0.5x+0.5
Step-by-step explanation:
[tex]\displaystyle\\(1,1)\ \ \ \ (-3,-1)\\\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }\\\\x_1=1\ \ \ \ x_2=-3\ \ \ \ y_1=1\ \ \ \ y_2=-1\\\\\frac{x-1}{-3-1}=\frac{y-1}{-1-1} \\\\\frac{x-1}{-4}=\frac{y-1}{-2} \\[/tex]
Multiply both parts of the equation by -2:
[tex]\displaystyle\\\frac{x-1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2} =y-1\\\\\frac{x}{2}-\frac{1}{2}+1 =y-1+1\\\\\frac{x}{2}+\frac{1}{2} =y \\[/tex]
Thus,
y=0.5x+0.5
question is attached to image
question 9a
pls help
Answer:
(x-2y){5-(x-2y)}
=(x-2y)(5-x+2y)
a) x³y²if x = 2 and y = 4
Answer:
128
Step-by-step explanation:
x³y²if x = 2 and y = 4
x³*y²
[tex](2)^{3} * (4)^{2}[/tex]
(2*2*2)*(4*4)
(8)*(16)
128
Martin wants to clean his swimming pool.
He hired a cleaning machine to do this job.
The cost of hiring the cleaning machine was
£35.54 for the first day,
then £18.25 for each extra day.
Estimate how much it would cost to rent the machine for 4 days.
Help plssss
Answer:
90.29
Step-by-step explanation:
I did math
If I spend $35 every 2 weeks, how much do I spend in a year?
how much do we pay for the mesh around the garden, which has a shape of a square measuring 25m and one ordinary meter of mesh costs 23 euros.
The cost of the mesh measuring 25 m is 2300 euros .
The perimeter of a square is that the distance lined by its four sides. Perimeter surrounds or outlines the form in a very two-dimensional plane.Since all the edges of a sq. square measure equal, therefore, the perimeter of sq. are four times its aspect, i.e. 4 × Side.The perimeter of the sq. is outlined because the total length of the boundary of a sq.. we want to feature all the edges of sq. to seek out its perimeter. By the formula of perimeter of polygonal shape, we know;
Perimeter = add of all sides
Perimeter of sq. = add of the lengths of four sides
= aspect + aspect + aspect + aspect
= 4 × side
First , we will calculate the the perimeter of the square
Perimeter of square = 25 × 4.
= 100 m
Total cost = perimeter required × cost per meter .
Cost of mesh = 100 × 23
= 2300 euros
To learn more about area of quadrilaterals, refer to https://brainly.com/question/27991573
#SPJ9
Consider the set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters (inclusive).
In the situation above, the domain is [Select] and the range is [Select].
The domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The range is going to be a set of real numbers from 0 to 6.
What is the range and domain?The domain of a function is the set of input values that we are allowed to plug into our function. This set is the x-values in a function.
The range of a function is the set of output values that the function assumes.
Now, we are told that there is a set of ordered pairs (q, T), where T is the total value of q quarters in dollars, up to $1.50 in quarters
Now, from conversions, we know that 1 quarters is equal to 0.25 dollar.
Thus, the domain q is a set of real numbers as(0, 0.25, 0.50, 0.75, 1.00, 1.25, 1.50).
The maximum output value will be; 1.5/0.25 = 6
Meanwhile, the range is going to be a set of real numbers from 0 to 6.
Read more about Range and Domain at; https://brainly.com/question/2264373
#SPJ1
AD = 6x - 4 and AC = 4x - 3
Answer:
CD= 2x-1
Step-by-step explanation:
AD = 6x-4
AC = 4x - 3
CD= AD- AC
CD= 6x-4 - (4x - 3)
CD= 6x - 4 - 4x +3
CD= 2x -1
Therefore, the value of CD= 2x-1
Solve the given differential equation by using an appropriate substitution. the de is a bernoulli equation. xdy/dx-(1 x)y=xy^2
-ln ( 1 - x/y - x) = c is a bernoulli equation. xdy/dx-(1 x)y=xy^2.
What is a differential equations explain?
Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)
[tex]\frac{-1}{y} = u[/tex]
[tex]\frac{y'}{y^{2} } = u'[/tex]
[tex]xy' - ( 1 + x )y = xy^{2}[/tex]
[tex]x\frac{y'}{y^{2} } - ( 1 + x ) \frac{1}{y} = x[/tex]
xu' + ( 1 + x )u = x
xu' + u + ux = x
xu = s
u + xu' = s'
s' + s = x
s - x =t
s' - 1 = t'
t' + 1 + t = 0
dt/dx = - ( 1 + t)
-∫ [tex]\frac{dt}{1 + t} =[/tex] ∫dx
-ln ( 1+ t ) = x + c
-in ( 1 + s - x ) = x + c
-ln ( 1 + xu - x ) = x + c
-ln ( 1 - x/y - x) = c
Learn more about differential equation
brainly.com/question/14620493
#SPJ4
How do answer this question?
Answer:(0,4)
Step-by-step explanation:
Answer:
(-5, -1)
Step-by-step explanation:
Three friends go to a store to rent games and movies.
Calvin rents 3 movies and 2 video games and spends a
total of $25. Samantha rents 2 movies and 1 video game
and spends a total of $14.75.
Answer:
Let x = the cost of a movie
Let y = the cost of a game
Using these variables, we can set up equations.
3x + 5y = 42 eq1
9x + 7y = 72 eq2
We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.
Multiply eq1 by 3. Keep eq2.
9x + 15y = 126 eq1
9x + 7y = 72 eq2
Subtract eq2 from eq1 to eliminate the x terms.
8y = 54
y = 6.75
This rental cost of one video game is $6.7
Substitute the value of y into eq1 to solve for x. This will give you the rental cost of one movie.
Step-by-step explanation:
pa brainly po
The cost of movie is $4.5 and cost of video game is $5.75.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the cost of movie and y be the cost of video game
Calvin rents 3 movies and 2 video games and spends a total of $25.
3x+2y=25...(1)
Samantha rents 2 movies and 1 video game and spends a total of $14.75.
2x+y=14.75
y=14.75-2x..(2)
Substitute (2) in equation (1)
3x+2(14.75-2x)=25
3x+29.5 -4x=25
-x+29.5 = 25
Subtract 29.5 from both sides
-x=25-29.5
x=4.5
Now let us plug in x value in equation (2)
y=14.75-2(4.5)
y=5.75
Hence, the cost of movie is $4.5 and cost of video game is $5.75.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
What is the converse of the following statement?
"If cows make milk, then chickens make eggs. "
Answer:
"If chickens make eggs, then cows make milk."
Step-by-step explanation:
Answer: A: If chickens make eggs, then cows make milk.
Step-by-step explanation: Hope that helped
Suppose that for a function g (x), g (4) = 7. Select all of the statements that are true.
A.
B.
C.
D.
E.
4 is in the range of g.
For a value a, it is possible that g (a) = 4.
For a value y, it is possible that g (4) = y.
The point (4,7) is on the graph of y = g(x).
The point (7,4) is on the graph of y = g(x).
Did Paul or pippa do it correctly
Triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC. (Translation: Pippa was right)
How to determine the scale factor to modify a right triangle
Herein we find a picture a graph with two proportional right triangles, which means that the small triangle is the consequence of a rigid transformation. The kind of rigid transformation used is a dilation around the origin, whose formula is shown below:
P'(x, y) = k · P(x, y)
Where k is the scale factor.
There is a dilation if and only if each point is scaled by the same factor. If we know that A(x, y) = (3, 9), A'(x, y) = (2, 6), B(x, y) = (9, 9), B'(x, y) = (6, 6), C(x, y) = (3, 3) and C'(x, y) = (2, 2), then the scale factor for each point is:
Point A
(2, 2) = k · (3, 3)
k = 2 / 3
Point B
(6, 6) = k · (9, 9)
k = 2 / 3
Point C
(2, 2) = k · (3, 3)
k = 2 / 3
Then, triangle A'B'C' is the result of dilation about the origin with a scale factor of 2 / 3 on triangle ABC.
To learn more on rigid transformations: https://brainly.com/question/1761538
#SPJ1
Enclose the error in solving the polynomial multiplication. Then correct it.
Correction:
Answer:
Hello,
Step-by-step explanation:
[tex](t^3+4)(t^3-4)\\\\= (t^3)^2-(4)^2\\\\=t^6-16[/tex]
The profits shown in retained earrings can be used for_
A. Predicting future income.
B.re-investment into the company
C. Buying a house.
D. Investing into other companies.
The profit shows in retained earning can be used for reinvestment into the company
There are many measures and uses of earnings. Some analysts like to calculate earnings before taxes (EBT), also known as pre-tax income. Some analysts prefer to see earnings before interest and taxes (EBIT). Still, other analysts, mainly in industries with a high level of fixed assets, prefer to see earnings before interest, taxes, depreciation, and amortization, also known as EBITDA.
Earnings that deviate from the expectations of the analysts that follow that stock can have a great impact on the stock's price, at least in the short term. For instance, if analysts on average estimate that earnings will be $1 per share and they come in at $0.80 per share, the price of the stock is likely to fall on that "earnings miss."
to know more about earnings;
visit;https://brainly.com/question/21219294
#SPJ9
Explain why it’s a bad or good sample. Every other household in a neighborhood of 20 homes is surveyed to determine the country’s favorite presidential candidate?
Answer:
The sample is not random because every other household is surveyed. This means that the sample is not representative of the entire population.
Step-by-step explanation:
This is the answer because, the entire population is not being surveyed, only every other household.
A magnetic levitation train travels between the city center of shanghai china and pudong international airport. the trip covers 30 kilometers i'm just 8 minutes. what is the average speed of the train in miles per hour
Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
As given,
Total distance= 30 kilometers
Total time taken = 8 minutes
1 kilometer = 0.62137 miles
30 kilometers = 30 × 0.62137
= 18.641 miles
8 minutes = ( 8 / 60) hour
Average speed= total distance / total time taken
= 18.641 / (8/60)
= 139.8 miles/ hour
Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
Learn more about average speed here
brainly.com/question/12322912
#SPJ4
Pigeonhole suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. is the following statement true or false:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE
What is a sophomore?A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions. A sophomore in high school is equivalent to a tenth-grade or Class-10 student.In sports, a sophomore is a professional athlete in their second season.As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.
So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.
Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.
Know more about sophomore here:
https://brainly.com/question/23382435
#SPJ4
The complete question is given below:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:
"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."
el ortocentro y varicentro de un triángulo equilátero son el mismo punto
Answer: The orthocenter and varicenter of an equilateral triangle are the same point?
Step-by-step explanation
Answer: De nuevo, puedes ver que el baricentro, el ortocentro y el circuncentro son todos el mismo punto para un triángulo equilátero. Tenemos un centro más para comparar, el incentro. Como habrás sospechado, el incentro es el mismo punto que los otros tres para un triángulo equilátero.
Step-by-step explanation:
Given the points a(- 1, 2) and b(7, 10), find the coordinates of the point p on the directed line segment that partitions in the ratio 1:3. plot p along with segment ab
The coordinate of point p such that it is dividing line ab into 1:3 is (1,4).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂).
x = [m(x₂) + n(x₁)]/(m + n)
And,
y = [m(y₂) + n(y₁)]/(m + n)
So,
x = [1(7) + 3(-1)]/(1+3) ⇒ x = 1
y = [1(10) + 3(2)]/(1+3) ⇒ y = 4
Hence "The coordinate of point p such that it is dividing line ab into 1:3 is (1,4)".
For more about coordinates,
brainly.com/question/7869125
#SPJ4
Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]
Hence,
The weighted average of a data set;
x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2
x = 360/10 = 36
Hence, The weighted average of a data set is 36.
Learn more about the weighted average visit:
https://brainly.com/question/18554478
#SPJ4
1.00 *10³ + 4.235 *10*
either 1042.35 or 1.04235*10^3
Simplify the expression.
12e +6-2e + 5
Answer:
10e + 11
Step-by-step explanation:
12e + 6 - 2e + 5 ← collect like terms
= (12e - 2e) + (6 + 5)
= 10e + 11
2×3÷2+1+2×33 what's the answer
Answer: 70
Step-by-step explanation:
2×3÷2+1+2×33
PEMDAS, do all the multiplication first.
2×3 = 6, 2×33=66
Do division next.
6÷2=3
3+1+66=70
The midpoint of a line segment ab is (1, 2). point a coordinates are (3,-3)
and point b coordinates are (x, 7). find the value of x.
The value of x in (x,7) is -1
Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.
Let one end point of line segment be A(a,b) and other end be B(c,d)
then its mid point X(x,y) will be given by [tex]x=\frac{a+c}{2} , y=\frac{b+d}{2}[/tex]...….(1)
Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)
The mid point [tex](1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )[/tex]...............using (1)
On comparing the x coordinate we get
[tex]1=\frac{3+x}{2}[/tex]
On cross multiplying we get
[tex]2=3+x[/tex]
On solving further
[tex]x=-1[/tex]
Therefore , the value of x in (x,7) is -1.
Learn more about Midpoints here https://brainly.com/question/25831290
#SPJ4
∠A and angle B∠B are complementary angles. If m angle A=(x+13)m∠A=(x+13)
and m angle B=(7x+13)^∠B=(7x+13) then find the measure of angle B∠B
The value of angle B is 69°.
How to calculate the angle?It should be noted that the sum of a complementary angle is 90°.
Therefore, the value will be:
x + 13 + 7x + 13 = 90
8x + 26 = 90
Collect like terms
6
8x = 90 - 26
8x = 64
Divide
x = 64/8
x = 8
Angle B = 7x + 13
= 7(8) + 13
= 56 + 13
= 69
Angle B is 69°.
Learn more about angles on:
brainly.com/question/25716982
#SPJ1
Find the complement of the set given that u = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (enter your answers as a comma-separated list.) the set of odd natural numbers less than 8
{ 0,2,4,6,8} is the complement of the set.
What is natural number in math?
Normative Numbers The numbers we use to count or place things in order are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11. Complete numbers the range of numbers that includes zero and natural numbers.Is zero a natural number?
0 is not a natural number, so no. As we all know, natural numbers are positive integers with a range of 1 to infinity. However, we get a number when we combine 0 with a positive integer like 10, 20, or another number.u = {0, 1, 2, 3, 4, 5, 6, 7, 8}
Odd number less than 8 = { 1,3,5,7 }
complement = {0, 1, 2, 3, 4, 5, 6, 7, 8} - { 1,3,5,7 }
= { 0,2,4,6,8}
Learn more about natural number
brainly.com/question/17429689
#SPJ4
Aliya hikes up a mountain for 2 hours. During this time, she hikes a
distance of 1 miles. Which expression shows Aliya's rate in miles per
1
hour?
The expression shows Aliya's rate in miles per hour will be 1/2.
How to compute the expression?From the information, Aliya hikes up a mountain for 2 hours and during this time, she hikes a distance of 1 miles.
Therefore, the rate will be:
= Distance / Time
= 1 / 2
Therefore, the expression shows Aliya's rate in miles per hour will be 1/2.
Learn more about expressions on:
brainly.com/question/22048677
#SPJ1
A board is 17 5/8 in. long. If it must be divided into seven pieces of equal length, how long must each piece be?
