The volume of the globe is (c) 5575.3 cubic inches.
It is given in the question that the diameter of the globe is 22 inches.
We have to find the volume of the globe.
We know that a globe is spherical in shape and the volume of a sphere is given by:-
[tex]\frac{4}{3} \pi r^3[/tex]
Where, r is the radius of the sphere
We know that,
Diameter/2 = Radius
Hence, we can write
22/2 = radius
Radius of the globe = 11 inches
Hence, volume of the globe is given by :-
(4/3) * (22/7) *11*11*11 = (88/21) *1331 = 5575.3 cubic inches.
The answer is (c)
To learn more about volume of a sphere, here:-
https://brainly.com/question/9994313
#SPJ4
i need help with 1,2,3, and 4!!
Answer:
A line segment is connected to the line or was formerly part of the line. A line segment has an end and is a distance between two points, while a line could be undefinably long. Line segments are finite between two points, while rays are just line segments that extend indefinitely into one direction. A ray only has one endpoint. Line segments have two.Answer:
Step-by-step explanation:
A line segment is connected to the line or was formerly part of the line.
A line segment has an end and is a distance between two points, while a line could be undefinably long.
Line segments are finite between two points, while rays are just line segments that extend indefinitely into one direction.
A ray only has one endpoint. Line segments have two
Here are some values of sequence . Write a recursive definition for the sequence.
1,4
3,7
7,13
The recursive definition for Q is Q(n) = Q(n-1) + 1.5
What is an arithmetic sequence?It refers to a "series where the deviations between every subsequent term are exactly the same" (or) "each term is acquired by adding a specific number (positive, negative, or zero) to its preceding term."
We have three values of sequence:
Q(1)=4
g(3)=7
Q(7)=13
Let us assume the sequence to be an arithmetic sequence
The n-th term of any arithmetic sequence is determined by:
[tex]a_{n}[/tex] = a+(n-1) d
Q(3)=Q(-1)+(3-1)d
7 =4+2d
2d = 3
d = 3/2
d = 1.5
Now, Q(7) = Q(1) + (-1)d
13 = 4+6 d
6d = 9
d = 9/3
d = 1.5
So, the d is the same for both terms.
Therefore, this is an arithmetic sequence.The recursive relation is given as [tex]a_{n}[/tex] = a(n-1)d.
Then, the recursive definition for Q is Q(n) = Q(n-1) + 1.5.
To know more about arithematic sequence visit:
https://brainly.com/question/24016699
#SPJ9
Find the magnitude and direction of the following vector.
-F G: F<-4,0> and G(-6,-4)
According to estimates, FG has a magnitude of 2√5.
The vector direction of FG is given as = 63.43°. (angle formed in the 1st quadrant with anti-clockwise direction).
What exactly would a distance formula imply?The distance formula is used in complex numbers to show the plane in addition to its magnitude. Distance formulas can also be used to determine the actual the distances between two planes in three- and n-dimensional planes.
Now, in answer to the question posed;
F and G have coordinates of (-1,10) and (1,-12), respectively.
The formula for calculating the distance between points A and B is as follows:
FG² = (x₂ - x₁)² + (y₂ - y₁)²
FG = √[(x₂ - x₁)² + (y₂ - y₁)²]
The coordinates for the points F and G's are-
(x₁,y₁) = (-4,0) and (x₂,y₂) = (-6,-4).
Substituting the given values in the distance formula;
FG = √[(-6 + 4)² + (-4 + 0)²]
FG = √[(-2)² + (-4)²]
FG = √[4 + 16] = √20
FG = 2√5 (magnitude of the vector FG)
Estimate the direction of this same vector FG now. The angle formed by a vector with a horizontal line defines its direction.
Use one of the following formulas to calculate the direction of a vector.
tan Ф = Δy/Δx
Where, x = horizontal change
and, y = vertical change
tan Ф = (y₂ - y₁)/(x₂ - x₁)
= (-4 + 0)/(-6 + 4)
tan Ф = -4/(-2) = 2
Ф = 63.43° (angle lies with in the first quadrant with anticlockwise direction).
As a result, the distance between F and G is determined to be 2√5. (the same as the magnitude of a given vector FG).
More details about the distance formula can be found here.
brainly.com/question/24386522
#SPJ4
How do I do 8 divided by 2432
Answer: The answer is 304
Step-by-step explanation: The way to divide this is putting it this way 2432/8.
x11 =[tex]\frac{x}{11}=\frac{13}{65}[/tex] 1365
The Final value for the given question is 11 /5.
x / 11 = 13 / 65 is the given expression.
Here, we must determine the value of 'x' in the preceding expression.
We get by multiplying '11' on both sides
= x * 11 / 11 = 13 * 11 / 65
By canceling common numbers on the numerator and denominator we get
= x = 13 * 11 / 65
= x = 11 / 5
Therefore, the correct value for x is 11 /5.
Learn more about expression solutions here:
https://brainly.com/question/17374100
#SPJ9
A rectangle has a width of 12 and a length of 18. Find its area.
Answer:
216
Step-by-step explanation:
Assuming that it is in centimetres, what we have to do is multiply the width by the length. Therefore we have to do 12×18, which equals 216
Answer:Area = w multiplied by l
12*18
=216
pls mark brainliest
Step-by-step explanation:
a woman works a basic week of 40 hours and her basic rate is $8.50 an hour.calculate her basic wage..
Answer:
$340 per week
Step-by-step explanation:
$40 hours a week
$8.50 per hour
40x8.5=weekly pay
40x8.5=340
Determine whether each sequence is arithmetic. If so, identify the common difference and find the 32 nd term of the sequence. 2,5,9,14,. . . . .
The given sequence 2, 5, 9, 14,… is not an Arithmetic sequence.
The given sequence is 2, 5, 9, 14,…
Here, [tex] a_{1}[/tex] = 2, [tex] a_{2}[/tex] = 5 and [tex] a_{3}[/tex] = 9.
A sequence is considered as an Arithmetic sequence if their difference is equal. Represented as -
[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = [tex] a_{3}[/tex] - [tex] a_{2}[/tex] = [tex] a_{4}[/tex] - [tex] a_{3}[/tex] and so on
Now, in the given sequence
⇒[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = 5 - 3
[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = 2
⇒ [tex] a_{3}[/tex] - [tex] a_{2}[/tex] = 9 - 5
[tex] a_{3}[/tex] - [tex] a_{2}[/tex] = 4
⇒ [tex] a_{4}[/tex] - [tex] a_{3}[/tex] = 14 - 9
[tex] a_{4}[/tex] - [tex] a_{3}[/tex] = 5
Since, the difference between the successive terms are not same.
∴ The given sequence 2, 5, 9, 14,… is not an Arithmetic sequence.
Know more about Arithmetic sequence: https://brainly.com/question/11908808
#SPJ4
How many times larger is
Answer:
B. 3x10^4
Step-by-step explanation:
9x10^-8 = 0.00000009
3x10^-12 = 0.000000000003
0.00000009 / 0.000000000003 = 30,000
3x10^4 = 3x10,000 = 30,000
Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5?
12x2 −6; 21 inches
12x2; 27 inches
12x2 −6; 30 inches
12x2; 36 inches
The expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Pablo folds a straw into a triangle with side lengths of 4x^2−3 inches, 4x^2−2 inches, and 4x^2−1 inches
Suppose the sides of the triangle are,
L = 4x^2−3 inches
B = 4x^2−2 inches
H = 4x^2−1 inches
Now since the perimeter is the sum of all the sides.
Thus, Perimeter of the given triangle is given as,
P = L + B + H
Putting the values we get,
P = (4x^2−3) + (4x^2−2) + (4x^2−1)
Expanding the brackets we get,
P = 4x^2 − 3 + 4x^2 − 2 + 4x^2 − 1
Taking alike terms together,
P = 4x^2 + 4x^2 + 4x^2 - 3 - 2 - 1
Now solving we get,
P = 12x^2 - 6
Thus is the expression for the perimeter of the triangle.
Now the perimeter when x = 1.5
Put x = 1.5 in the perimeter expression we get,
P = 12(1.5)^2 - 6
Solving we get,
P = 12*2.25 - 6
Solving we get,
P = 27 - 6
Thus we get,
P = 21 inches
this is the required perimeter when x = 1.5
Thus, the expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.
To learn more about triangle:
https://brainly.com/question/3771154
#SPJ1
Answer:
12x2 −6; 21 inches
Step-by-step explanation:
Four students have volunteered to fold pamphlets for a local community action group. Which student is the fastest?
a. Deron
b. Quinn
c. Neiva
d. Sarah
Quinn, the student, is the fastest
Quinn: 30/60, or 1/2 page per second.
Quinn is the fastest student when it comes to folding pamphlets.
Which is a rational function?A polynomial divided by another polynomial is a rational function. The domain of a rational function is the set of all numbers excluding the denominator's zeros because polynomials are defined everywhere.
A rational function in mathematics is any function that can be defined by a rational fraction, which is an algebraic fraction in which both the numerator and denominator are polynomials.
Find the folding speed of the students per second.
Neiva: 1/3 pages per second.
Sarah: 2/10 or 1/5 pages per second.
Quinn: 30/60 or 1/2 pages per second.
Deron: 45/120 or 3/8 pages per second.
Among these students, Quinn is the fastest student in folding pamphlets.
Therefore, the correct answer is option b. Quinn.
To learn more about rational function refer to:
https://brainly.com/question/1851758
#SPJ4
Which statement is NOT true about a regular 16-gon?
a) It is a convex polygon.
b) It has 16 congruent sides.
c) The sum of the interior angle measures is 2880 degrees.
d) The sum of the exterior angles, one at each vertex, is 360 degrees
Answer:
c
Step-by-step explanation:
(a) A regular 16- gon is a convex polygon ← True
(b) It has 16 congruent sides ← True
(c)
the sum of the interior angles of a regular polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 16 , then
sum = 180° × 14 = 2520°
thus 2880° is False
(d)
the sum of the exterior angles of any polygon = 360° ← True
Find the sum of (6.9 × 10^6) and (5.9 × 10^5). Write the final answer in scientific notation.
1.28 × 10^10
12.8 × 10^11
7.49 × 10^5
7.49 × 10^6
The sum of (6.9*10^6) and (5.9*10^5) is 7.49 * 10^6.
The arithmetically adding two or more numbers is called sum.
Scientific notation is a form of presenting a very small or very large number in simple form. it is in the form of multiplication of one digit with 10 raise to the power of respective exponent. plus power is used for huge number and minus power is used for tiny number.
Given numbers = 6.9 * 10^6 and 5.9 * 10^5
5.9 * 10^5 = 0.59 * 10^6
Sum of both numbers
= 6.9*10^6 + 0.59*10^6
= (6.9+0.59)*10^6
= 7.49*10^6
To learn more about scientific notation and sum here,
#SPJ1
January 19: On January 1, North Country Hotel and Resort hired an independent contractor to develop scheduling software. This is a year contract for $120,000/annual. The contractor is paid bi-weekly on Fridays. The first pay period is for the week January 1-5 and January 8-12. Payday is January 19. Independent contractors are not employees, so the accounts payable department would normally issue the checks and generate a 1099 at the end of the year. Calculate the first paycheck payment to the independent contractor and record the journal entry. For our example, you can use Salaries and Wages Expense and Cash accounts.
The first paycheck payment to the independent contractor is $4,615.38
Dr. salaries and wages expense $4,615.38
Cr. salaries and wages payable $4,615.38
What is the amount of first bi-weekly pay to the contractors?
On the basis that there are 52 weeks in a year, hence, there would be 26 bi-weeks in a year, in order to determine the amount of first paycheck payment to the independent contractor, we simply divide the annual cost of contract by 26 bi-weeks in a year.
first paycheck payment =annual contract fees/26 bi-weeks
first paycheck payment =$120,000/26
first paycheck payment =$4,615.38
The paycheck refers to first 2 weeks which ends on on 12th January, whereas the actual payment would occur a week later on 19th of January, as a result, the amount is owed until 19th January, which means that salaries and wages expense would be debited and salaries and wages payable would be credited until actual payment is made on the 19th of January.
Find out more about accrued wages and salaries on:brainly.com/question/6693966
#SPJ1
Factor x^2-4x-63=-6x?
Quadrilateral KMHR is a square. Find the coordinates for Point L.
A: (0, 15)
B: (7.5, 7.5)
C: (15, 0)
D: (15, 15)
The coordinate of point L of the given square is; (0, 15)
How to identify the coordinates of a square?
Some of the properties of a square are that;
All four sides of a square are equal
All internal angles are equal to 90°
All internal angles are equal to each other
Diagonals intersect at right angles
No, from the given square we see that the coordinates are;
K(0, 0) and R(15, 0)
Since side KR would have a length of 15 units, then KL would also be equal to 15 units.
Thus, coordinate of point L is; (0, 15)
Read more about Coordinates of Square at; https://brainly.com/question/19131248
#SPJ1
Please tell me what the angles are for 2, 3, 4, and 5
Answer:
A) 96°
B) 84°
C) 84°
D) 96°
Step-by-step explanation:
∠2 = ∠5 = (180-84)° = 96°
∠3 = ∠4 = 84°
Hope this helps
Keisha took a 5-mile walk at the park in saturday how many kilometers did Keisha walk?
Find x and the measure of each side.
ΔR S T is equilateral. R S is three more than four times x, S T is seven more than two times x , and T R is one more than five times x .
For given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.
In given question,
ΔRST is equilateral triangle.
We have been given some information about sides of ΔRST.
RS is three more than four times x.
We write above statement as mathematical expression.
RS = 3 + 4x
ST is seven more than two times x.
We write above statement as mathematical expression.
ST = 7 + 2x
and TR is one more than five times x.
We write above statement as mathematical expression.
TR = 1 + 5x
We need to find the value of x.
Since ΔRST is an equilateral triangle, RS = ST = RT
⇒ 3 + 4x = 7 + 2x = 1 + 5x
Consider 3 + 4x = 7 + 2x
⇒ 4x - 2x = 7 - 3
⇒ 2x = 4
⇒ x = 2
Now we find the measure of each side.
RS = 3 + 4x
RS = 3 + 4(2)
RS = 11 units
But RS = ST = RT
So, the measure of each side is 11 units.
Therefore, for given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.
Learn more about an equilateral triangle here:
https://brainly.com/question/3461022
#SPJ4
Is function -10,-8,-6,-4 geometric or arithmetic
Answer:
arithmetic
Step-by-step explanation:
Lesson 8: Factors, Multiples, GCF and LCM
Math
MIN-LESSON
6. Leon is making goodie bags for his birthday party and wants to make sure he has enough for everyone
that is attending. He has 72 coloring books, 90 markers, and 180 pieces of chocolate.
a. What is the greatest number of goodie bags that he can make?
b. How many of each item will go into each bag?
The greatest number of goodie bags he can make is 18.
The number of coloring books that would be in each bag is 4
The number of markers that would be in each bag is 5
The number of chocolate that would be in each bag is 18
What is the greatest number of goodie bags he can make?The greatest number of goodie bags he can make can be determined by calculating the highest common factor of 72, 90, 180.
The factor of a number is a number that perfectly divides another number. For example, the factors of 18 are 1, 2, 3, 6, 9, 18. The highest common factor is the highest factor of two or more numbers. The highest common factor of 4 and 8 is 4.
Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.
Factors of 180 = 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90 and 180.
Common factors = 1, 2, 3, 6, 9, 18
Highest common factor = 18
The number of coloring books that would be in each bag = 72 / 18 = 4
The number of markers that would be in each bag =90 / 18 = 5
The number of chocolate that would be in each bag = 180 / 18 = 18
To learn more about highest common factor, please check: https://brainly.com/question/26073850
#SPJ1
2t + 17 < 5 or t + 7 2 13
Answer:
t < -6 (the other part of the question I don't understand)
Step-by-step explanation:
2t < 5 - 17
2t < - 12
t < - 12 /2
t < -6
Solve for the value of p
Answer:
[tex]p=11[/tex]
Step-by-step explanation:
[tex](5p+7)+(3p-5)=90\\8p+2=90\\8p=88\\p=11[/tex]
Brainliest Answer Please
SOMEONE HELP ASAP PLEASE
Answer:
g(x)=f(x-2)+3
Step-by-step explanation:
A car is traveling at a constant speed of 65 miles per hour. Drag each list or statement below to show whether it describes the independent quantity or the dependent quantity.
heres the answer
The independent variable is time on the x axis and the dependent variable is distance on the y-axis.
Which variable is the independent variable?When making a time graph, the independent variable is the variable that is shown by the x-axis. Time will usually be the independent variable because we cannot change time so we watch for the changes in other things as time goes on.
In this case therefore, the independent variable is time which will be shown as the x-values. The dependent variables would then be the distance which would be the y-values.
Find out more on the independent variable at https://brainly.com/question/13184086
#SPJ1
the coordinates of point 3/10 of the way from point (-3,-8) ((12,6)
Using proportions, the coordinates of the point 3/10 of the way from (-3,-8) to (12,6) are: (1.5, -3.8).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
We want a point C 3/10 of the way from A(-3,-8) to B(12,6), hence:
C - A = 3/10(B - A).
The x-coordinate of the point is found as follows:
x + 3 = 3/10(12 + 3)
x + 3 = 4.5
x = 1.5.
The y-coordinate of the point is found as follows:
y + 8 = 3/10(6 + 8)
y + 8 = 4.2
y = -3.8.
Hence the coordinates are: (1.5, -3.8).
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
For a geometric progression,
u3 = 4.5 and u7 = 22.78125. Find the value of the common ratio and the first term.
Answer: Ratio: 2:3
2 ==> 1st term
Step-by-step explanation:
22.78125/4.5=5.0625
5.0625^(1/(7-3))=
5.0625^(1/4)=1.5 ==> Ratio: 1:1.5 ==> 2:3
4.5 / 1.5^(3-1)=
4.5 / 1.5^2=
4.5 / 2.25 = 2 ==> 1st term
The first term (a) in the geometric progression is approximately 2.
The common ratio (r) is 1.5.
Here, we have to find the common ratio (r) and the first term (a) in the geometric progression, we'll use the formula for the nth term of a geometric sequence:
[tex]u_n = a * r^{(n-1)[/tex]
where:
[tex]u_n[/tex] is the nth term,
a is the first term,
r is the common ratio,
n is the position of the term in the sequence.
Given u3 = 4.5 and u7 = 22.78125:
For n = 3:
[tex]u_3 = a * r^{(3-1)}\\4.5 = a * r^2[/tex]
For n = 7:
[tex]u_7 = a * r^{(7-1)}\\22.78125 = a * r^6[/tex]
Now, we have two equations:
[tex]a * r^2 = 4.5\\a * r^6 = 22.78125[/tex]
Divide equation 2 by equation 1:
[tex](a * r^6) / (a * r^2) = 22.78125 / 4.5[/tex]
Simplify:
[tex]r^4 = 5.0625[/tex]
Now, take the fourth root of both sides to find the value of r:
r = √(5.0625)
r ≈ ± 1.5
Since r is the common ratio, it cannot be negative in a geometric progression.
So, the common ratio (r) is 1.5.
Now, we can find the first term (a) using equation 1:
[tex]a * r^2 = 4.5[/tex]
Substitute the value of r (1.5):
[tex]a * (1.5)^2 = 4.5[/tex]
a * 2.25 = 4.5
Divide by 2.25:
a ≈ 4.5 / 2.25
a ≈ 2
Therefore, the first term (a) in the geometric progression is approximately 2.
The common ratio (r) is 1.5.
Learn more about geometric mean from the given link
brainly.com/question/28562725
#SPJ7
subtract 8/9 - (-2/3)
Answer:
D.) 14/9
Step-by-step explanation:
Remove parenthesis and add
8/9 + 2/3
Get LCD of 9
8/9 + 6/9 = 14/9
Can you please look at the photo and tell me which statement isn’t true.
Answer:
D
Step-by-step explanation:
point P is in plane Z not plane X
Add.
18 5/12+ 8 10/17 + 23 7/12 + 28 7/17
PLSSSSSSSSSSSS HELLLPPPP MEEEEE
