Answer:
At a distance of 400 m.
Step-by-step explanation:
From the information in the given question, a distance marker and pole are together at the start of the road.
Thus,
the distance marker would mark the road 100 m, 200 m, 300 m, 400 m, 500 m etc.
Also,
the pole would be located 80 m, 160 m, 240 m, 320 m, 400 m, 480 m etc.
Comparing the distance of location of the marker and pole, it would be observed that the next location where the two would be together is 400 m from the starting point.
Therefore, there would be a distance marker and a pole together at 400 m from the stat of the road.
factories 2x^3+ 7x^2+ 7x +2 emergency pls
hope it helps you...............
Answer:
the answer is (x+1)(x+2)(2x+1)
Rewrite the expression in the form x^n:
x^-10/3
---------
x^3
Answer:
x^ (-19/3)
Step-by-step explanation:
x ^ (-10/3) ÷ x^3
We know a^b ÷ a^c = a^(b-c)
x ^ (-10/3) ÷ x^3 = x^(-10/3 - 3) = x^(-10/3 - 9/3) = x^ (-19/3)
The segments shown below could form a triangle.
Find the number in which 9 has greater value.
0.5689
5.6890
56.89
569.80
Answer:
569.80Step-by-step explanation:
Among all the choices, the digit 9 has the greatest value in number 569.80. For the reason that 9 got ones value - which are greatest than other.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth angle?
Answer:
155 degrees
Step-by-step explanation:
Hi there!
The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:
360-65-95-45
= 155
Therefore, the measure of the fourth angle is 155 degrees.
I hope this helps!
Answer:
155 degrees
Step-by-step explanation:
A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle
360=65+95+45+x
360=205+x
x=155
If necessary, write in simplest radical form
Answer:
2*sqrt(5)
Step-by-step explanation:
By using Pythagoras theorem, we have
4^2+2^2=(the third side)^2
16+4=(the third side)^2
Third side=sqrt(20)=2*sqrt(5)
A bag contains 4 purple beads and 3 green beads. A bead is drawn and then replaced before drawing the second bead. Find the probability both beads drawn are green.
A) 16/49
B) 6/7
C) 6/49
D) 9/49
Answer:
9/49
Step-by-step explanation:
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
Replace the bead
4 purple beads and 3 green beads= 7 beads
P( green) = green = total = 3/7
P( green , replace, green) = 3/7 * 3/7 = 9/49
2cos5xcos3x+sinx=cos8x
It looks like your equation (it's not an identity) is
2 cos(5x) cos(3x) + sin(x) = cos(8x)
Recall that
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
==> 2 cos(x) cos(y) = cos(x + y) + cos(x - y)
so that
2 cos(5x) cos(3x) = cos(8x) + cos(2x)
Then the equation simplifies to
cos(8x) + cos(2x) + sin(x) = cos(8x)
cos(2x) + sin(x) = 0
Also recall that
cos(2x) = 1 - 2 sin²(x)
so the equation is quadratic in sin(x) and can be factorized:
1 - 2 sin²(x) + sin(x) = 0
2 sin²(x) - sin(x) - 1 = 0
(2 sin(x) + 1) (sin(x) - 1) = 0
Solve for x :
2 sin(x) + 1 = 0 or sin(x) - 1 = 0
sin(x) = -1/2 or sin(x) = 1
[x = arcsin(-1/2) + 2nπ or x = π - arcsin(-1/2) + 2nπ] or x = arcsin(1) + 2nπ
(where n is any integer)
x = -π/6 + 2nπ or x = -5π/6 + 2nπ or x = π/2 + 2nπ
Jack painted 5 8 part of a wall and Sam painted 7 12 part of another wall of the same size. Who painted a larger part of the wall?
Answer:
Jack
Step-by-step explanation:
convert the fractions to decimals to determine the person that painted the larger part of the wall
5/8 = 0.625
7/12 = 0.583
the fraction Jack painted is larger.
1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
9514 1404 393
Answer:
x = x+10 = x+1x+1 = x+1Step-by-step explanation:
1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.
If we choose to make our equation ...
x = x +1
Subtracting x from both sides of the equation gives ...
0 = 1
There is no value of the variable that will make this be true.
__
2. Something that reduces to x = c will have one solution. One such equation is ...
0 = x+1
x = -1 . . . . subtract 1 from both sides
__
3. Something that reduces to x = x will have an infinite number of solutions.
One such equation is ...
x+1 = x+1
Subtracting 1 from both sides gives ...
x = x . . . . true for all values of x
see attached photo, please help asap, it is due in 30 minutes !!!
Answer:
Answer is 3.398
Step-by-step explanation:
Solve by putting into calculator.
2/3 (9-12n)
plz tell me fast its urgent
no spam or i will report
Answer:
6 -8n
Step-by-step explanation:
2/3 (9-12n)
Distribute
2/3 *9 - 2/3 *12n
6 -8n
Describe the solution to the inequality. r < –3
Answer:
98
Step-by-step explanation:
Find the area of the shaded region.
Answer:
pi × 18cm^2
Or approximately,
56.52cm^2 (using 3.14 for pi)
or
56.5487cm^2 (using pi button on calculator)
Step-by-step explanation:
Area of a circle is pi times [radius squared].
All circles are 360°.
Problem can be solved by finding area of whole circle, and then using ratios.
Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2
80° / 360° = Area[shaded] / (pi × 81cm^2)
pi × 18cm^2 = Area[shaded]
((If you read my answer before the edit, I am sorry. I made a calculator error.))
A charity gala is held in a hotel ballroom each year. The cost is $150 for the ballroom and an additional $22.50 for each attendee. Write an equation showing how the cost of the gala, y, depends on the number of attendees, x. Do not include dollar signs in the equation. y=
Given:
Fixed cost = $150
Additional cost = $22.50
To find:
The equation that showing the cost of the gala depends on the number of attendees.
Solution:
Let x be the number of attendees and y be the cost of the gala.
Total cost = Fixed cost +Variable cost
We have,
Fixed cost = $150
Variable cost = Additional cost × Number of attendees
= [tex]22.50\times x[/tex]
= [tex]22.50x[/tex]
Total cost of gala is:
[tex]y=150+22.50x[/tex]
Therefore, the required equation is [tex]y=150+22.50x[/tex].
which is the closest to the height of the ball
Answer:
C
Step-by-step explanation:
substitute 2.1 for 't' in the given equation
h = 113.391
The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood
Answer:
The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"
Step-by-step explanation:
Let the given value is:
[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]
Which inequality is represented by the graph?
Y>-2/3x+1
Y<-2/3x+1
Y<-3/2x+1
Y>-3/2x+1
Answer:
Last option, y > -3/2x+1
That's the answer you're looking for
Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
Answer:
580
Step-by-step explanation:
Assuming that the answer should be in terms of z scores, we can calculate the z score as
z = (observed value - mean)/(standard deviation)
For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is
z = (86-71)/20 = 0.75
Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have
0.75 = (observed score - 550)/40
multiply both sides by 40 to remove a denominator
0.75 * 40 = observed score - 550
add 550 to both sides to isolate the observed score
0.75 * 40 + 550 = observed score = 580
A set of prime number between 5 and 15 . express it in listing and set builder methods.
Answer:
Step-by-step explanation:
{7,11,13}
Christian has 1/2 of a foot of tape. His friend gives him 3/10 of a foot of tape. How much tape does Christian have now?
Answer:
4/5 foot
Step-by-step explanation:
Add the lengths together
1/2 +3/10
Get a common denominator
1/2 *5/5 + 3/10
5/10 + 3/10
8/10
Simplify the fraction by dividing the top and bottom by 2
4/5
[tex]\rm \implies \: Total \: \: length \: \: of \: \: tape \: = \: \frac{1}{2} \: + \: \frac{3}{10} \\ [/tex]
Now , we take LCM of denominators.LCM of 2 and 10 is 10.[tex]\bf \large \rightarrow \: \: \frac{5 \: + \: 3}{10} \: = \: \frac{8}{10} \\ [/tex]
Now , simplifying the fraction in simplest form.
[tex]\bf \large \rightarrow \: \: \cancel\frac{8 \: \: ^{4} }{10 \: \: ^{5} } \: = \frac{4}{5} \\ [/tex]
Christian have 4/5 foot of tape have now.
Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week
The ratio of the cost of a shirt to the cost of a jacket is 2:5. If the jacket cost $240 more than the shirt,
find the cost of the shirt and the cost of the jacket.
Given:
The ratio of the cost of a shirt to the cost of a jacket is 2:5.
The jacket cost $240 more than the shirt.
To find:
The cost of the shirt and the cost of the jacket.
Solution:
Let x be the cost of the shirt.
The jacket cost $240 more than the shirt. So, the cost of Jacket is (x+240).
The ratio of the cost of a shirt to the cost of a jacket is 2:5. So,
[tex]\dfrac{x}{x+240}=\dfrac{2}{5}[/tex]
[tex]5x=2(x+240)[/tex]
[tex]5x=2x+480[/tex]
Subtract 2x from both sides.
[tex]5x-2x=480[/tex]
[tex]3x=480[/tex]
Divide both sides by 3.
[tex]x=\dfrac{480}{3}[/tex]
[tex]x=160[/tex]
So, the cost of shirt is $160.
Now, the cost of jacket is:
[tex]160+240=400[/tex]
Therefore, the cost of shirt is $160 and the cost of jacket is $400.
Nigel makes the claim that x=6 is the solution to the equation 4(5x−12)−7x=5x. His work to support his claim follows. Given: 4(5x−12)−7x=5x Step 1: 20x−48−7x=5x Step 2: 20x−7x−48=5x Step 3: 13x−48=5x Step 4: 13x−13x−48=5x−13x Step 5: 0−48=−8x Step 6: 6=x Which of the following justifications can be used to justify and support Nigel's work? Select all justifications that are correct.
Step 1 is justified by the Distributive Property. , Step 1 is justified by the Distributive Property. , ,
Step 4 is justified by the Symmetric Property. , Step 4 is justified by the Symmetric Property. , ,
Step 5 is justified by the Property of Additive Inverses. , Step 5 is justified by the Property of Additive Inverses. , ,
Step 2 is justified by the Commutative Property. , Step 2 is justified by the Commutative Property. , ,
Step 6 is justified by the Associative Property.
Answer:
Step 1 is justified by the Distributive Property.
Step 4 is justified by the Symmetric Property
Step-by-step explanation:
Given the equation solved by Nigel expressed as
4(5x−12)−7x=5x.
First, we need to expand the bracket using the distributive property
4(5x−12)−7x=5x.
4(5x)-4(12) -7x = 5x
20x - 48 - 7x = 5x
Hence Step 1 is justified by the Distributive Property.
Next is to collect the like terms;
20x - 7x - 48 = 5x
Take the difference
13x - 48 = 5x
Next is to subtract 13x from both sides according to the symmetric property
13x - 48 - 13x = 5x - 13x
Hence Step 4 is justified by the Symmetric Property
The resulting equation will be
0-48 = -8x
Divide both sides by -8
-48/-8 = -8x/-8
6 = x
Hence the correct justifications are Step 1 is justified by the Distributive Property AND Step 4 is justified by the Symmetric Property
Which is the best estimate for the percent equivalent of StartFraction 7 Over 15 EndFraction? 21% 22% 46% 47%
Answer:
47%
Step-by-step explanation:
StartFraction 7 Over 15 EndFraction = 7/15
Equivalent Percentage
7/15 × 100
= 0.4666666666666 × 100
= 46.666666666666%
Approximate to the nearest whole percentage
= 47%
The answer is 47%
Answer:7
Step-by-step explanation:
Determine the intercepts of the line.
Answer:
y-intercept = -55
x-intercept =25
Step-by-step explanation:
I know how to do this
How do you find the radius??
Step-by-step explanation:
According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.
Thus far, the radius is equated to half the diameter.
graph the equation y=5/7x
Answer:
Step-by-step explanation:
Find the volume of each figure. Round your answers to the nearest tenth, if necessary
Answer:
437.9
Step-by-step explanation:
Volume is pi*r^2*h=pi*(49)*9=437.9
which of the statement is true
Answer:
c
Step-by-step explanation:
Profit = 4.5 (240)-1080 = 0
the maximum profit would occur when u sell all 350 tickets,
profit = 4.5(350)-1080 = 495 (not a nor b)
Answer:
The statement that is true is C
