Answer:
See below
Step-by-step explanation:
x = largest
x-1 previous
x -2 smallest
sum = x + x-1 + x-2
sum = 3x -3
Miranda and cyndi start hiking from the same point. miranda hikes at a heading of , or due west, and cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?
They are both 6.9 miles apart after one hour if they both hike 4 miles/hour
The correct option is (B)
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
According to the given information:Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of 270° or due west, and Cyndi hikes at a heading of 30°
From the isosceles triangle:h = 4sin30
h = 4(1/2)
h = 2 miles
From Pythagoras theorem:x² = 4² - h² = 4² - 2²
x = √12
x = 3.46 miles
Total distance = 2×3.46 = 6.9 miles
Thus, they are both 6.9 miles apart after one hour if they both hike 4 miles/hour option (B) 6.9 miles is correct.
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I understand that the question you are looking for :
Miranda and Cyndi start hiking from the same point. Miranda hikes at a heading of , or due west, and Cyndi hikes at a heading of , or n e. if they both hike 4 miles/hour, approximately how far apart are they after one hour?
A) 4.3 miles. .
B) 6.9 miles
C) 8.0 miles
D) 5.7 miles
Use the drawing tools to form the correct answer on the graph.
Given the table of values, plot the corresponding points for the inverse of the function.
X
-1
0
1
2
f(x)
1
2
3
4
The inverse maps (x,y) onto (y,x).
A rectangle has dimension 23cm by 41cm and is made with a piece of wire How long will each length be for an equilateral triangle?
Each side of equilateral triangle will have the length equals to 42.7 cm.
Quadrilaterals
There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2L+2W.
You should find the perimeter of the rectangle.
2P=23+23+41+41= 128 cm
The equilateral triangle will have the same perimeter of the rectangle. An equilateral triangle presents the equal three sides, thus,
128= 3L
L=128/3=42.7 cm
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HELP ME THIS IS DUE IN 2 HOURS
The volume of the composite figure is 3532.5 cubic inches
How to determine the volume of the composite figure?From the given figure, we have the following dimensions:
Height, h = 15 inchesRadius of small cylinder, r = 5 inchesRadius of large cylinder, R = 10 inchesThe volume of a cylinder is
V = πr^2h
So, the volume of the composite figure is
V = πR^2h - πr^2h
Substitute the known values in the above equation
V = 3.14 * 10^2 * 15 - 3.14 * 5^2 * 15
Evaluate the product
V = 3532.5
Hence, the volume of the composite figure is 3532.5 cubic inches
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Combine the like terms to create an equivalent expression. 9+a-5b-2=
❄ Hi there,
let us combine the like terms and create an equivalent expression –
[tex]\large\begin{gathered} \sf{9+a-5b-2} \\\sf{9-2+a-5b}\\\sf{7+a-5b} \end{gathered}[/tex]
That's as far as we can go.
❄
Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of 40 men was studied. What is the probability that the sample mean is between 15 and 16 grams per day
Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].For this problem, the parameters are given as follows:
[tex]\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743[/tex]
The probability is the p-value of Z when X = 16 subtracted by the p-value of Z when X = 15, hence:
X = 16:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16 - 15}{0.4743}[/tex]
Z = 2.11
Z = 2.11 has a p-value of 0.9826.
X = 15:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15 - 15}{0.4743}[/tex]
Z = 0
Z = 0 has a p-value of 0.5.
0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.
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Please help me 18 points
City B had the highest noon temperature, Interquartile Range, Larger Median temperature while City A had smaller range of temperature.
A box and whisker plot, also known as a box plot, shows a five-number summary of a set of data. The minimum, first quartile, median, third quartile, and maximum are the five-number summary. A box plot is created by drawing a box from the first to third quartiles. At the median, a vertical line runs through the box. The whiskers move from the lowest to the highest quartile.
From the figure:-
City B has the highest noon temperature with 86FCity B has the highest Interquartile RangeCity B has the highest median noon temperature with 79F City A has smaller range of temperatureLearn more about Statistics here :
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Answer:
(a) B
(b) B
(c) B
(d) B
Step-by-step explanation:
Simplify the expression. c–6 • 2c7
The answer is 2c.
Applying the Law of Exponents,
c⁻⁶ x 2c⁷2c⁷⁻⁶2cTwo spheres have volumes of 87 cm³ and 647 cm³. If the surface area of the smaller sphere is 167 cm², what is the
surface area of the larger sphere?
64 cm²
96 cm²
128 cm²
256 cm²
The surface area of the larger sphere is equal to 636.365 square centimeters.
How to determine the surface area of the sphere by the use of direct variation formulas
In this question we must estimate the surface area of the smaller sphere. By geometry we know that the volume of a sphere is directly proportional to the cube of its radius and the surface area is directly proportional to the square of radius, then the volume to surface area ratio is equal to:
V/A = k · r (1)
Where:
r - Radiusk - Proportionality constantThen, we can derive the following relationship between the two spheres by eliminating the proportionality constant:
V/(A · r) = V'/(A' · R) (2)
Where:
r - Radius of the smaller sphere.R - Radius of the larger sphere.First, we need to determine the radii of the spheres:
Larger radius
R = ∛(3 · V' / 4π)
R = ∛(3 · 647 / 4π)
R ≈ 5.365 cm
Smaller sphere
r = ∛(3 · V / 4π)
r = ∛(3 · 87 / 4π)
r ≈ 2.749 cm
Lastly, we find the surface area of the larger sphere:
A · r · V' = A' · R · V
A' = (A · r · V') / (R · V)
A' = (167 · 2.749 · 647) / (5.365 · 87)
A' = 636.365 cm²
The surface area of the larger sphere is equal to 636.365 square centimeters.
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Use the laplace transform to solve the given initial-value problem. y'' − 6y' 13y = 0, y(0) = 0, y'(0) = −5
Answer:
Laplace transforms turn a Differential equation into an algebraic, so we can solve easier.
y'= pY-y(0)
y"=p²Y - py(0)- y'(0)
Substituting these in differential equation :
p²Y -py (0) -y' (0)-6(pY-y(0)) + 13Y
Substituting in the initial conditions given , fact out Y, and get:
Y( p²-6p+13) = -3
Y=-3/ p²-6p+13
now looking this up in a table to Laplace transformation we get:
y=-3/2.e³т sin(2t)
for the last one, find the Laplace of t∧2 . which is 2/p³
pY - y(0)+ 5Y= 2/p³
Y= 2/p³(p+5)
Taking partial fractions:
Y=-2/125(p+5) + 2/125p - 2/25p² + 2/5p³
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Answer:
The integral transform that converts a function of a real variable to a function of a complex variable is called Laplace transform. first we need to substitute y' and y" in differential equation then finding Laplace transformation and at last taking partial fractions.
Given: y'= pY-y(0)
y"=p²Y - py(0)- y'(0)
Putting y' and y" in differential equation :
p²Y -py (0) -y' (0)-6(pY-y(0)) + 13Y
Substituting in the initial conditions given , fact out Y, and get:
Y( p²-6p+13) = -3
Y=-3/ p²-6p+13
by Laplace transform we get:
y=-3/2.e³т sin(2t)
for the last one, find the Laplace transform of t∧2 . which is 2/p³
pY - y(0)+ 5Y= 2/p³
Y= 2/p³(p+5)
Taking partial fractions:
Y=-2/125(p+5) + 2/125p - 2/25p² + 2/5p³
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A large company has offices in cities across the country. The facilities director of the company was asked to survey employees about their office furniture. Rather than survey all employees in the company, the director decided to take a sample of employees. Which groups would be most representative of the opinions of all employees in the company? Select each correct answer.
A.
5% of randomly selected employees from each office location
B.
Employees with office phone numbers ending in 3 and 7
C.
Employees who are randomly selected by a computer from a list of all company employees
D.
Employees who have worked for the company for more than 10 years
E.
Randomly selected employees in the cafeteria of one of the offices
F.
Employees answering phone calls in the company’s customer service departme
The groups which would be most representative of the opinions of all employees in the company are: A sample of 5% of randomly selected employees from each office location, Employees who are randomly selected by a computer from a list of all company employees and Employees who have worked for the company for more than 10 years.
Options (A),(C) and (D) are correct.
A sizable business has locations around the nation. The company's facilities director was tasked with asking employees about their office furnishings. Instead of polling every worker at the company, the director chose to select a sample. We are supposed to find the groups which would be most representative of the opinions of all employees in the company.
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expressions equivelant to 64^x
[tex]64^{\text{x}} = (8^2)^{\text{x}} = 8^{2\text{x}}[/tex]
The rule used is that [tex](a^b)^c = a^{bc}[/tex] we multiply the exponents b and c.
Or we could say this
[tex]64^{\text{x}} = (4^3)^{\text{x}} = 4^{3\text{x}}[/tex]
Or,
[tex]64^{\text{x}} = (2^6)^{\text{x}} = 2^{6\text{x}}[/tex]
Therefore, we have multiple possible answers.
find the value of n:
[tex]\frac{10}{n} = \frac{15}{6}[/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex] \frac{10}{n} = \frac{15}{6} [/tex]
cross multiply
apply fraction cross multiply
[tex]if \: \: \frac{a}{b} = \frac{c}{d} \: \: then \: \: a.d = b.c[/tex]
10.6=n.15
simplify:
10.6=60Thus, 60=n.15
switch sides
[tex]n.15 = 60[/tex]
divide both sides by 15
[tex] \frac{n.15}{15} = \frac{60}{15} [/tex]
simplify
[tex]n = 4[/tex]
Hope it helps!
Miss a turn
Go forward
3 squares
Go back
2 squares
Go back
1 square
Go forward
2 squares
Go forward
3 squares
In a game, a fair spinner has six equal sections
as shown.
a) Noel spins the spinner.
Write down the probability he gets 'Miss a turn'.
Give your answer as a fraction.
(1)
b) The spinner lands on 'Go back 1 square'
four times in a row.
Steve is next to spin.
Write down the probability that he gets
'Go back 1 square'.
Give your answer as a fraction.
c) In one game there are 96 spins.
How many of these spins are expected
to be 'Go forward 3 squares'?
(1)
(2)
Total marks: 4
See below for the values of the probabilities
How to determine the probabilityThe complete question is added as an attachment
Write down the probability he gets 'Miss a turn'.
From the spinner, we have
Sections = 6
Miss a turn = 1
So, the probability that he gets 'Miss a turn is
P = 1/6
Write down the probability that he gets 'Go back 1 square'.
Here, we have:
Number of rows = 4
'Go back 1 square' = 4
The probability that he gets 'Go back 1 square' is
P = 'Go back 1 square'/Number of rows
This gives
P = 4/4
Evaluate
P = 1
How many of these spins are expected to be 'Go forward 3 squares'?
Here, we have
Spins = 96
From the spinner, the probability of 'Go forward 3 squares' is
P =1/6
So, the expected number is
E(x) = np
This gives
E(x) = 96 * 1/6
Evaluate
E(x) = 16
Hence, 16 spins are expected to be 'Go forward 3 squares'
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
9 or 16... but I'm leaning more to 9
Step-by-step explanation:
Since the graph seems to be going up and down, it seems like its at its highest point and should go down now so it could be 9. But if not and its still going to go higher 16 is possible.
hello please answer need help
2x + 2y = 42
2w + q = 35
2w + v = 29
x + q + y - v = ?
x = 7
y = 14
w = 3
q = 29
v = 23
7 + 29 + 14 - 23 =
The answer is 27
Answer: [tex]\Large\boxed{27}[/tex]
Step-by-step explanation:
Given information converted into a mathematical statement
[tex]a = icecream\\b=cookie\\c=brownie\\d=cake\\e=creamed cake[/tex]
[tex]1)~a+b+a+b=42[/tex]
[tex]2)~c+d+c=35[/tex]
[tex]3)~c+c+e=29[/tex]
[tex]4)~a+d+b-e=\mbox{?}[/tex]
Simplify each equation
[tex]1)~2a+2b=42[/tex]
[tex]2)~2c+d=35[/tex]
[tex]3)~2c+e=29[/tex]
[tex]4)~(a+b)+(d-e)=\mbox{?}[/tex]
Factorize 2 out of the 1) equation
[tex]2a+2b=42[/tex]
[tex]2(a+b)=42[/tex]
Divide 2 on both sides
[tex]2(a+b)\div2=42\div2[/tex]
[tex]a+b=21[/tex]
Current system
[tex]1)~a+b=21[/tex]
[tex]2)~2c+d=35[/tex]
[tex]3)~2c+e=29[/tex]
[tex]4)~(a+b)+(d-e)=\mbox{?}[/tex]
Subtract 3) equation from the 2) equation
[tex](2c +d)-(2c+e)=(35)-(29)[/tex]
Expand the parenthesis
[tex]2c+d-2c-e=35-29[/tex]
Combine like terms
[tex]2c-2c+d-e=6[/tex]
[tex]d-e=6[/tex]
Current system
[tex]1)~a+b=21[/tex]
[tex]2)~d-e=6[/tex]
[tex]3)~(a+b)+(d-e)=\mbox{?}[/tex]
Substitute values into the 3) equation to determine the final value
[tex](a+b)+(d-e)[/tex]
[tex]=(21)+(6)[/tex]
[tex]\Large\boxed{=27}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
Assuming that both boats are travelling in straight paths, the angle that is between their paths to the nearest degrees is =34°
Calculation of angle of triangleA triangle is a type of polygon that has three pointed edges.
A polygon is defined as a closed object that is made up of line segments in a two dimensional plane.
Other examples of polygon include the following:
hexagons, pentagons, and quadrilaterals.The angle between the paths of the boats can be calculated using the formula Cos θ = a/b
Where b = 18km/h
a = 15km/h
Cos θ = 15/18
cos θ = 0.83
Therefore, θ = Cos¹0.83
θ = 33.9
θ = 34°
In conclusion, the angle that is between their paths to the nearest degrees is =34°
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help help help help me pleaseeeeeeeee
The ticket price which will maximize the student's council is: C. $3.10.
What is price?Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
Total number of students = 420 students.Lowest ticket price = $2.00.Increase in ticket price = $0.20.Attendance = 20 fewer students How to determine the ticket price?Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
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x6 = 64 solve for X please
Answer:
x = 2
Step-by-step explanation:
note that 64 = [tex]2^{6}[/tex]
then
[tex]x^{6}[/tex] = [tex]2^{6}[/tex] , so x = 2
Chris, nina, and iana each have a 3/4 chance of going to cafe shirley for an afternoon coffee at 1:00pm. jeffrey will only go to cafe shirley for a coffee if at least one of his friends is at the cafe. what is the probability that jeffrey goes to cafe shirley for a coffee today?
Answer:
Jeffrey has 225 % chance to go to Cafe Shirley.
Step-by-step explanation:
given,
chance of going to Cafe
Chris = 3/4
Nina =3/4
iana = 3/4
To find the total probability you should add all of them:
Total probability= 3/4 + 3/4 + 3/4
= 9/4 = 2.25
to convert to percent you should times 100
2.25 x 100 = 225%//
What is the slope of (2,-1) and (8,4)
Answer:
5/6
Step-by-step explanation:
slope = 4-(-1)/8-2 = 5/6
Christen returned an overdue book to the library. her fine was the same as it would have been if she returned the book the previous day. which of the answer choices below could be the number of days christen’s book is overdue? 10 14 18 22
The number of days christen’s book is overdue is 22.
What do we mean by overdue?Overdue is defined as occurring after the due date for payment. The arrival of a train that is tardy is an illustration of anything that is past due.Despite the fact that it is after the due date, money that is past due has not yet been paid. The average small business owes outstanding payments of approximately £12,000.When you state that a change or event is overdue, you're implying that you believe it should have taken place sooner rather than later.The number of days christen’s book is overdue:
According to the graph, the fine levied stops rising after 20 overdue days and then stays at 10 for the remaining days.
Additionally, if Christen's fine was the same as yesterday, her late dates must be longer than 21 days (because the fine on day 20 will be the same).
22 might therefore be the number of days past due based on the options provided.
The number of days christen’s book is overdue is 22.
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PLEASE ANSWER FAST!
The solids are similar. Find the missing dimension.
The missing dimension in the figure given in the question is 9 ft
Data obtained from the questionDiameter of small circle = 24 in Height of small circle = 8 inHeight of big circle = 3 ft = 3 × 12 = 36 inDiameter of big circle (d) = ?How to determine the missing dimensionDiameter of small circle / Diameter of big circle = Height of small / Height of Big
24 / d = 8 / 36
Cross multiply
d × 8 = 24 × 36
d × 8 = 864
Divide both sides by 8
d = 864 / 8
d = 108 in
Divide by 12 to express in feet
d = 108 / 12
d = 9 ft
Thus, the missing dimension is 9 ft
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If the solids are similar, then their lengths/dimensions are proportional.
24 inches / 8 inches = d / 3 feet
---Cross Multiply
8d = 72
d = 9 feet
Hope this helps!
Instructions: Determine whether the following polygons are similar.
If yes, type 'yes' in the Similar box and type in the similarity
statement and scale factor. If no, type 'None' in the blanks. For the
scale factor, please enter a fraction. Use the forward dash (i.e. /) to
create a fraction (e.g. 1/2 is the same as
15
B
12
18
G
m
LL
F
N
30
20
M
25
The angles exist in the exact place in both triangles. So we will obtain the decision that they exist different.
Therefore, the the measure of their angles exists different.
How to define the polygons are similar?
No, because the measure of their angles exists different. If the angle measurements existed the exact, they would have been equivalent.
You see in the smaller triangle, the given angle exists at 55 degrees while in the bigger triangle the given angle exists at 30 degrees.
The angles exist in the exact place in both triangles. So we will obtain the decision that they exist different.
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For an independent t-test, if the mean of group 1=10, mean of group 2=12, ss1 =5, ss2=8, there are 6 individuals per group. what is the value of t obtained?
The value of t obtained is 4.76
Given,
Mean of group 1, [tex]M_{1}[/tex] = 10
Mean of group 2, [tex]M_{2}[/tex] = 12
[tex]SS_{1}[/tex] = 5
[tex]SS_{2}[/tex] = 8
Number of individuals per group, n = 6
The degrees of freedom are calculated as:
[tex]df = (n_{1} -1)+(n_{2} -1)[/tex] = ( 8-1) + (8-1) = 7 + 7 = 14
The difference between sample means [tex]M_{d}[/tex] is:
[tex]M_{d}[/tex] = [tex]M_{1} -M_{2}[/tex] = 10 - 12 = 2
Here n is equal for both groups which is = 8
Now,
The standard deviation of sample 1 :
[tex]s_{1} =\sqrt{\frac{SS_{1} }{n_{1} -1} } = \sqrt{\frac{5}{8-1} } = \sqrt{\frac{5}{7} } = 0.85[/tex]
The standard deviation of sample 2 :
[tex]s_{2}= \sqrt{\frac{SS_{2} }{n_{2}-1 } } = \sqrt{\frac{8}{8-1} } = \sqrt{\frac{8}{7} } = 1.07[/tex]
Now, we have to calculate the standard error for the difference of the means.
MSE = [tex]\frac{(n_{1}-1)s^{2} _{1}+(n_{2}-1)s^{2} _{2} }{(n_{1}-1)+(n_{2}-1) }[/tex]
= [tex]\frac{(8-1)(0.85^{2})+(8-1)(1.07^{2}) }{(8-1)+(8-1)}[/tex]
= [tex]\frac{10.1318}{14}[/tex]
MSE = 0.7237
Then, the standard error can be calculated as:
[tex]s_{M_{d} } = \sqrt{\frac{2MSE}{n} } = \sqrt{\frac{2 * 0.7237}{8} } = 0.42[/tex]
Now we can calculate t :
[tex]t=\frac{M_{d} }{s_{M_{d} } } = \frac{2}{0.42} = 4.76[/tex]
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Using addition rules, show how to add the two real numbers. 7 + (-14)
Answer:
- 7
Step-by-step explanation:
note that
+ (- ) = - ( adding a negative is equivalent to subtraction )
- (- ) = + ( subtracting a negative is equivalent to addition )
then
7 + (- 14) = 7 - 14 = - 7
g+ 3 = 17
(one step equation)
Answer:
14
Step-by-step explanation:
Subtract 3 from both sides to isolate g / make g the subject :
g + 3( -3 ) = 17 (-3)
g = 17-3
g = 14
Substituting this into the equation gives us :
14 + 3 = 17
17 = 17
So our final answer is 14
Hope this helped and have a good day
if y=mx+b, find m and use the formula for the previous question to find m when the coordinates are (4,7) and b=12
Answer:
m = -5/4
Step-by-step explanation:
In the slope-intercept form formula, y = mx + b, substitute 4 for x, 7 for y, and b for 12 to solve for m.
y = mx + b
7 = 4m + 12
-5 = 4m
m = -5/4
im confuse gusy can u help me?
Answer:
11. 333... which can also be written as 11 1/3.
Step-by-step explanation:
Sure.
√(6c - 4) = 8
Squaring both sides:
6c - 4 = 64
6c = 64 + 4 = 68
c = 68/6
= 11. 333...
Answer:
[tex]c=\dfrac{34}{3}[/tex]
Step-by-step explanation:
Given equation:
[tex]\sqrt{6c-4}=8[/tex]
Square both sides:
[tex]\implies (\sqrt{6c-4})^2=8^2[/tex]
[tex]\implies 6c-4=64[/tex]
Add 4 to both sides:
[tex]\implies 6c-4+4=64+4[/tex]
[tex]\implies 6c=68[/tex]
Divide both sides by 6:
[tex]\implies \dfrac{6c}{6}=\dfrac{68}{6}[/tex]
[tex]\implies c=\dfrac{34}{3}[/tex]
Verify the solution by inputting the found value of c back into the equation:
[tex]\implies \sqrt{6\left(\dfrac{34}{3}\right)-4}[/tex]
[tex]\implies \sqrt{\dfrac{204}{3}-4}[/tex]
[tex]\implies \sqrt{68-4}[/tex]
[tex]\implies \sqrt{64}[/tex]
[tex]\implies \pm 8[/tex]
Therefore, the solution of the found value of c is verified.
The two rectangles are similar. which is the correct proportion for corresponding sides?
Option D is correct, the proportion for corresponding sides is 12/4 = 24/8.
According to the statement
we have given that the two rectangle which are similar to each other and we have to find the correct proportion for corresponding sides of rectangles.
So, we know that the
For the two rectangles to be similar, it means the ratio of their corresponding sides must be the same.
Looking at the two rectangles, the corresponding sides are pf the rectangles are:
4 m side corresponds to 8 m side in rectangle A
12m side corresponds to the 24 m side in rectangle B.
Then
The ratios of the both rectangles are:
In rectangle A is 8/4 = 2
In rectangle B is 24/12 = 2
From this it is clear that the ratios are equal.
Thus, the scale factor is 2
Since 8/4 = 24/12, we can rearrange to get;
12/4 = 24/8.
So, Option D is correct, the proportion for corresponding sides is 12/4 = 24/8.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
The two rectangles are similar with sides 4 m side corresponds to 8 m side in rectangle A and 12m side corresponds to the 24 m side in rectangle B.which is the correct proportion for corresponding sides?
A. 12/3 = 24/12.
B. 12/2 = 27/8.
C. 11/4 = 23/8.
D. 12/4 = 24/8.
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