[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for m
[tex]\qquad \tt \dashrightarrow \:F = \dfrac{ GMm}{ {r {}^{2} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:F {r}^{2} = { GMm}{ { {}^{} }}^{} [/tex]
[tex]\qquad \tt \dashrightarrow \:m = \dfrac{F {r}^{2} { { {}^{} }}^{} }{GM}[/tex]
can you form a triangle with side lengths of 3/8, 1 1/6 and 3/4?
Answer:
No
Step-by-step explanation:
for the sides to form a triangle then the sum of any 2 must be greater than the third.
[tex]\frac{3}{8}[/tex] , 1 [tex]\frac{1}{6}[/tex] , [tex]\frac{3}{4}[/tex] ( change 1 [tex]\frac{1}{6}[/tex] into an imprioper fraction )
[tex]\frac{3}{8}[/tex] , [tex]\frac{7}{6}[/tex] , [tex]\frac{3}{4}[/tex]
rewrite each fraction with a denominator of 24 ( the LCM of 8,6,4 )
This will allow the fractions to be compared more easily.
[tex]\frac{9}{24}[/tex] , [tex]\frac{28}{24}[/tex] , [tex]\frac{18}{24}[/tex]
[tex]\frac{9}{24}[/tex] + [tex]\frac{28}{24}[/tex] = [tex]\frac{37}{24}[/tex] > [tex]\frac{18}{24}[/tex]
[tex]\frac{28}{24}[/tex] + [tex]\frac{18}{24}[/tex] = [tex]\frac{46}{24}[/tex] > [tex]\frac{9}{24}[/tex]
[tex]\frac{9}{24}[/tex] + [tex]\frac{18}{24}[/tex] = [tex]\frac{27}{24}[/tex] < [tex]\frac{28}{24}[/tex]
the condition is not met for the 3 sides , so they do not form a triangle.
A fan with a resistance of 20 Ω is connected to a power supply. The current flowing through the circuit is 2.5 A.
What is the voltage of the power supply?
(1 point)
8.0 V
8.0 V
22.5 V
22.5 V
17.5 V
17.5 V
50.0 V
Answer: 50V
Step-by-step explanation:
Use Ohm's Law, which states that the voltage is proprtional to the current. The proprtionality constant is the resistance:
[tex]V=IR[/tex]
We are given the resistance in Ohms, and the current in Amps. Therefore:
[tex]V=(2.5)(20)=50V[/tex]
Write an expression to represent the area of each figure
Answer:
A = 4x² + 3x - 1
Step-by-step explanation:
Area of trapezoid = (a + b)(h)/2
a = 5x - 4b = 3x + 2h = x + 1A = [((5x - 4) + (3x + 2)) · (x + 1)] ÷ 2
A = [(8x - 2) · (x + 1)] ÷ 2
A = (8x² + 8x - 2x - 2) ÷ 2
A = 4x² + 4x - x - 1
A = 4x² + 3x - 1
Hope this helps and God bless!
To setup an equation for the area of the figure:
⇒ must know the formula for the area of a trapezoid
[tex]\frac{1}{2}*(base1+base2)*height[/tex]
base 1 --> 5x - 4base 2 --> 3x + 2height --> x + 1Now's lets set up the equation:
[tex]Area =\frac{1}{2}(5x-4+3x+2)(x+1) =\frac{1}{2}(8x-2)(x+1)=\frac{1}{2}*(8x^2+8x-2x-2)\\Area = \frac{1}{2} *(8x^2+6x-2)\\Area = 4x^2+3x-1[/tex]
Thus the equation is [tex]4x^2+3x-1[/tex]
Answer: [tex]4x^2+3x-1[/tex]
Hope that helps!
Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of 20.75% per month. How many months will it take for the farm to triple in size? **Must solve using log/ln method**
The number of months it would take the bunny farm to triple in size is 5.3 months.
When would the bunny farm be triple its size?The formula that can be used to determine the number of months it would take Mrs. Galicia's bunnies to triple in size is:
Number of years = (In FV / PV) / r
FV = future population of the bunniesPV = present population of the bunniesr = rate of growthFV / PV = 3IN(3) / 0.2075 = 5.3 months
To learn more about tripling time, please check: https://brainly.com/question/21841217
Find the value of x. assume that segments that appear to be tangent are tangent.
Answer:
9
Step-by-step explanation:
The explanation is in the picture
A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet steel costs $20 for each square meter, how much will the sheet steel cost in total?
Answer :-
The value of all the steel sheet is $2080
Solving steps:-
⇢ A=2(wl+hl+hw)
Where,
Length = 6mWidth or breath = 5mHeight = 2m⇢ A = 2((5)(6)+(2)(6)+(2)(5))
⇢ A = 2(52)
⇢ A = 104
We multiply 104 by $20
⇢ 104 × 20
⇢ 2080
Therefore,the sheet steel will cost $2080 in total
Hopes this helps,
Have a wonderful day ,:-)
Help please. Anyone good at math?
Answer:
m∠x = 47°
Step-by-step explanation:
The given shape is a triangle.
Sum of interior angles of the triangle is 180,
x + 102 + 31 = 180
x + 133 = 180
x = 180 - 133
m∠x = 47°
Hey umm i just need help thx if u do
Answer:
900in goes in 25 yd
3960ft goes in 0.75 mi
360in goes in 30 ft
10yd goes in 30 ft
75ft goes in 25 yd
1320yd goes in 0.75 mi
Step-by-step explanation:
[tex]\frac{1yd}{36in} =900in[/tex]
900 · 1 = 900
900/36 = 25 yd
______________
[tex]\frac{1mi}{5280ft} =3690ft[/tex]
3690 · 1 = 3690
3690/5280 = 0.75 mi
______________
[tex]\frac{1ft}{12in} =360in[/tex]
360 · 1 = 360
360/12 = 30 ft
______________
[tex]\frac{3ft}{1yd} =10yd[/tex]
3 · 10 = 30
30/1 = 30 ft
______________
[tex]\frac{1yd}{3ft} =75ft[/tex]
75 · 1 = 75
75/3 = 25 yd
______________
[tex]\frac{3ft}{1yd} =1320yd[/tex]
3 · 1320 = 3960
3960/1 = 3960ft
[tex]\frac{1mi}{5280ft} =3960ft[/tex]
3960 · 1 = 3960
3960/5280 = 0.75 mi
______________
hope this helps!
i need help with algebra homework please .
[tex]\cos 32^{\circ} = \dfrac{14.7}a\\\\\implies a=\dfrac{14.7}{\cos 32^{\circ}}\\\\\implies a=17.33[/tex]
Find the area of a perfect polygon that has 99 sides and each side measures 31 inches
Answer:95139 units^2
Step-by-step explanation:
(31*31)*99 = 95139
So the answer should be 95139 units ^2
Question
Use a two-dimensional representation of the prism, if necessary, to find the area of the entire surface of the prism.
The surface area of the prism is
square units.
Question
Find the area of the figure.
Answer:
162 units^2
Step-by-step explanation:
add all of the areas of the sides
2 ( 3 x 7) + 2 ( 3 x 6) + 2 ( 6 x 7 ) = 162 units^2
gabriel and ted went to an arcade where the machines took tokens. gabriel played 6 games of slee ball and 9 games of pinball using a total of 33 tokens. at the same time, ted played 4 games of slee ball and 9 games of pinball using up 31 tokens. how many tokens does each game require?
Answer:
9x + 5y = 29 ........... (1) and 3x + y = 7 ........... (2) Each game of ping pong ...
Missing: gabriel ted 33
Step-by-step explanation:
Question 4 on math!
Please help me 15 points
Answer:
A, B, C, or D.
Step-by-step explanation:
In the first week of Georgia's job, she earned $125.25 for working 15 hours. During her second week, she earned $167.00 for working
20 hours. How much does she earn in dollars for each hour she works?
Answer:
Georgia earns $8.35 per hour
Step-by-step explanation:
$125.25 / 15 hours = $8.35
$167.00 / 20 hours = $8.35
You can also find how much Georgia makes an hour by:
15 hours + 20 hours = $125.25 + $167.00
OR...
15x + 20x = $125.25 +$167.00
35x = $292.25
x = $292.25 / 35
x = $8.35 earned per hour
The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.9 cm.
a. Find the probability that an individual distance is greater than 212.50 cm
b. Find the probability that the mean for 25 randomly selected distances is greater than 201.00 cm
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
a. The probability is
(Round to four decimal places as needed)
b. The probability is I
(Round to four decimal places as needed.)
c. Choose the correct answer below.
O A The normal distribution can be used because the mean is large.
B. The normal distribution can be used because the finite population correction factor is small.
OC. The normal distribution can be used because the probability is less than 0.5
OD. The normal distribution can be used because the original population has a normal distribution
Answer:
I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!
a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population. z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,
P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594
Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596
b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.
Meanpop=Meansampling dist.=197.5
St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22
Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209
c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.
Step-by-step explanation:
1. what are "odds for" stopping on a 2, 3, 7, 10?
2. What are the "odds against" stopping on a number less than 5.
NO LINKS!!
Answer:
1) 1/2, 2) 2Step-by-step explanation:
#1Number of total outcomes is 12 (numbers 1 through 12)Favorable outcomes are 2, 3, 7, 10, total number is 4Unfavorable outcomes are the rest of numbers, total number is 8The 'odds' is
Odds for (2, 3, 7, 10) = 4/8 = 1/2#2Number of total outcomes is 12 Number of favorable outcomes is 4 (numbers less than 5)Number of unfovorable outcomes is 8 (the rest of numbers)The 'odds against' is
Odds against (< 5) = 8/4 = 2/1 or 2Answer:
Question 1"Odds for" - Number of successes : Number of failures
Number of success = 2, 3, 7 or 10
Number of failures = 1, 4, 5, 6, 8, 9, 11, 12
⇒ odds for stopping on 2, 3, 7 or 10 = 4/8 = 1/2
Question 2"Odds against" - Number of failures : Number of successes
Number of success = 1, 2, 3, 4
Number of failures = 5, 6, 7, 8, 9, 10, 11, 12
⇒ odds against stopping on 1, 2, 3 or 4 = 8/4 = 2
Which exponential function has a growth factor of 5?
f(x) = 2(5x)
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
f(x) = 0.5(2x)
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.
An exponential function can represent growth or decay, and the function that has a growth factor of 5 is f(x) =2(5^x)
How to determine the exponential function?An exponential function is represented as:
f(x) = ab^x
Where b represents the growth factor
From the list of options, we have:
f(x) = 2(5^x) and f(x) = 0.5(2^x)
This means that:
b = 5 for f(x) = 2(5^x)
And b = 0.2 for f(x) = 0.5(2^x)
Hence, the function that has a growth factor of 5 is f(x) =2(5^x)
Read more about exponential functions at:
https://brainly.com/question/11464095
Answer:
A.
f(x) = 2(5x)
Step-by-step explanation:
In ΔWXY, W Y ‾ WY is extended through point Y to point Z, m ∠ Y W X = ( 2 x + 12 ) ∘ m∠YWX=(2x+12) ∘ , m ∠ W X Y = ( 2 x + 5 ) ∘ m∠WXY=(2x+5) ∘ , and m ∠ X Y Z = ( 7 x − 1 ) ∘ m∠XYZ=(7x−1) ∘ . What is the value of x ? x?
Applying the exterior angle theorem, the value of x in the given triangle is: x = 6.
How to Apply the Exterior Angle Theorem?The exterior angle theorem states the relationship between the two remote angles in a triangle and the angle measure of the external angle formed by an extended side outside the triangle.
According to the exterior angle theorem:
The measure of the exterior angle = sum of the measures of the two remote angles in a triangle.
Given the following:
Measure of angle YWX = (2x + 12)°
Measure of angle WXY = (2x + 5)°
Measure of angle XYZ = (7x - 1)°
Therefore:
m∠XYZ = m∠YWX + m∠WXY [exterior angle theorem]
Substitute
(7x - 1)° = (2x + 12)° + (2x + 5)°
Solve for x
7x - 1 = 2x + 12 + 2x + 5
Combine like terms
7x - 1 = 4x + 17
7x - 1 + 1 = 4x + 17 + 1 [addition property of equality]
7x = 4x + 18
7x - 4x = 4x + 18 - 4x [subtraction property of equality]
3x = 18
3x/3 = 18/3 [division property of equality]
x = 6
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The U.S. flag has 7 red stripes and 6 white stripes. Check if each ratio of red stripes to total stripes is correct.
A. 7:6
B. 7/13
C. 13 to 7
D. 7 to 6
E. 7:13
F. 7/6
Answer:
B
Step-by-step explanation:
7 is the red stripes and if u add the white and the red which is 7 and 6 which equals 13 which means the answer is 7/13
Select ALL that apply to the graph
the roots are 2 & 4
the X-intercepts aro (40) & (2.0)
the domain is all real numbers
the range is all real numbers
the range is y 39
the equation is linear
the equation is quadratic
the domain is 6X4
Answer:
a b c e g
Step-by-step explanation:
OPTION A
OPTION B
OPTION C
OPTION E
OPTION G
I hope it helped you
Exploring Multiplication and Inequalities A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol.
Answer:
A
Step-by-step explanation:
Mr. Timberlake bought 7/9 cup of chocolate chip to
make cookies. He has used 2/3 cup of chocolate chips
To make the cookies. How many chocolate chips does he
have left?
Answer:
1/9 cup left
Step-by-step explanation:
7/9 - 2/3
Change to a common denominator.
7/9 - 6/9 = 1/9
I hope this helps and please mark me as brainliest!
need answer asap please and thank you
Step-by-step explanation:
this trapezoid has 3 parts
rectangle, 2 triangles
area of rectangle = 8.7*9.8 = 85.26 m^2
area of first right triangle = .5*b*h = .5*7.3*9.8 = 35.28 m^2
area of 2nd right triangle = .5*7.6*9.8 = 37.24 m^2
total area = 156.78 m^2
Which shape has only one pair of parallel sides?
Answer:
The answer is C.
Step-by-step explanation:
This is because that shape only has the top and bottom lines which are parallel. The sides are not vertical and leaning outwards, which are not parallel. Leaving that shape to only have one pair of parallel sides.
Answer:
C.
Step-by-step explanation:
A & B both have 2 pairs of parallel lines, so they're not a choice. D has three sides, making it a triangle. Meaning it has no pairs of parallel lines. That leaves us with C. The reason why C is the answer is because, we can see that both top and bottom lines are parallel to each other. However, the left and right lines are not.
I hope this helped!
A beaver Burroughs 10 hole every five minutes how many holes will it burrow it time is increased to 25 minutes
Answer:
A beaver burrows 10 holes every 5 minutes. How many holes will it burrow if the time is increased to 25 minutes? Answer it will burrow 50 holes in 25 minutes
hope this helps
Step-by-step explanation:
Answer:
50 holes
Step-by-step explanation:
5 minutes = 10 holes
25/5 = 5
10 x 5 = 50
1. Which of the following points is the reflection of (8.-5) in the y-axis? A. (8,5) c. (-8,5) B. (-5, 8) D. (-8,-5)
Answer: d. (-8,-5)
1nonly(((((((((((:<3
If 3 is subtracted from 5 times a number, the result is the same as 9 added to the number. Find the number.
A.)4
B.)-4
C.)3
D.)-3
Answer:
c).3
Step-by-step explanation:
let the number be x
5x-3=x+9
collect like terms
5x-x=9+3
4x= 12
divide both sides by 4
x=3
the number is 3
Change. 2.75km to metres
Answer:
2,750 meters
Step-by-step explanation:
1000 meters = 1 kilometer
M = 2.75 km (M = variable for unknown amount of meters)
Cross multiply: 1000 * 2.75 km = 1 * M
2.75 km * 1000 m = 2750 meters
Find the missing angle y. (Image attached)!!
Answer:
111°
Step-by-step explanation:
first to find y we know that y+69=180.what is the digit 9 in this number 195,487
Answer:
90,000 (ninty thousand)
Step-by-step explanation:
hope this helps:)
Answer:
The number that is in the ten thousands is 9, whose value is 90,000
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