Answer:
C) 0.70
Explanation:
:))
For the geometric series given by 5 + 10 + 20+ . . . , which of the following statements is FALSE?
None of the other 3 statements here are False.
S₅₀₀ > S₄₉₉
S₅₀₀ > a₅₀₀
S1 = a1
Answer:
All statements are true
Step-by-step explanation:
1. The statement [tex]S_{500}>S_{499}[/tex] is true, because [tex]S_{499}[/tex] is the sum of first 499 terms, [tex]S_{500}[/tex] is the sum of first 500 terms, and all these terms are positive, then the sum of smaller number of terms is less than the sum of larger number of terms.
2. The statement [tex]S_{500}>a_{500}[/tex] is true, because [tex]S_{500}[/tex] is the sum of first 500 terms, [tex]a_{500}[/tex] is 500th term and the sum of 500 terms is greater than the 500th term.
3. The statement [tex]S_1=a_1[/tex] is true, because [tex]S_1[/tex] is the sum of first 1 term that is exactly [tex]a_1.[/tex]
All statements are true.
Please help me out!.
Since PQRS is isosceles, the horizontal distance between PQ and RS is the same, i.e. it's [tex]a[tex].
Moreover, point C is horizontally aligned with point Q, which implies that they share the y coordinate.
So, point R has coordinates [tex](c-a,b)[/tex]
Please help... :'( I NEED THIS TO PASS MY GRADE
Which expression is equivalent to -12(3x-3/4)?
A. -36x-8
B. -36x+8
C. -36x-9
D. -36x+9
Answer:
D. -36x+9
Step-by-step explanation:
−12(3x−
3/4)
=(−12)(3x+ −3/
4)
=(−12)(3x)+(−12)(
−3/4)
=−36x+9
Answer:
D. -36x + 9
Step-by-step explanation:
[tex]-12[3x - \frac{3}{4}] \\ -36x + 9[/tex]
I am joyous to assist you anytime.
help 23 points 2 questions
A)
The lawyer in 20 years earns 3,620,000
The mathematician in 40 years earns 3,160,000
Subtract to find the difference:
3,620,000 - 3,160,000 = 460,000
The answer is the first one.
B)
Interest would be a credit of 27.23, balance = 700 + 27.23 = 723.23
Transfer would be a debit of 176.02 balance = 723.23 - 176.02 = 547.21
Deposit would be a credit of 157.00 balance = 547.21 + 157.00 = 704.21
A check would be a debit of 47.13 balance = 704.21 - 47.13 = 657.08
1. Rank the following from largest mass to smallest mass.
Gravity on the moon = 1.6 m/s^2 Gravity on Mars = 3.7 m/s^2
a) 1 kg object on earth
b) 2.75 lbm object on the moon
c) 1.25 lbf object on the moon
d) 15 N object on earth
e) 15 N object on Mars
The answer is C.) i think
Answer:
e) 15 N object on Mars
d) 15 N object on earth
b) 2.75 lbm object on the moon
a) 1 kg object on earth
c) 1.25 lbf object on the moon
Step-by-step explanation:
Mass is the amount of mass that a certain object has, it differs from its weight because the weight depends of the gravity or the force that is been applied to the object towards the planet.
To obtain the mass a 15N object on mars you have to divide the 15N by the gravity of mars this would be like this:
Mass:[tex]\frac{15}{3.7}[/tex]= 4.05kg
To obtain the mass of a 15 N objecto on the earth you divide 15N by 9.8 [tex]\frac{m}{s^{2} }[/tex] which is the gravity on earth.
Mass:[tex]\frac{15}{9.8}[/tex]= 1.53 kg
To calculate the mass of a 2.75 lbm object on the moon you just have to convert it to kg.
Mass in kg: 2.75*.453= 1.24 kg
Then the 1 kg mass object on the earth.
And last the 1.25 lbf object on the moon you just convert it to kilograms.
Mass in kg: 1.25*.138=.172kg
Place the circles in order from the circle with the largest area to the circle with the smallest area.
a circle with a diameter
of 8 metersa circle with a radius
of 7 metersa circle with a circumference
of 37.68 metersa circle with a diameter
of 16 meters
Answer:
Diameter 16, radius 7, circumference 37.68, diameter 8
Step-by-step explanation:
Largest area will be in a circle with the largest radius. So let's find all radii.
d = 8, so r = 4;
r = 7;
circumference = 2pi*r = 37. 68, so r = 6
diameter 18, so r = 8
Given: Circles k1(A) and k2(O)ext. tangent
KE- tangent to k1(A) and k2(O)
AK=5, OE=4 Find: KE
There is a visual
AO is a line segment containing the radii of both circles, which are AK and OE, so AO = AK + OE = 9.
Extend AO to a point P on the line KE. Then we get two similar triangles APK and OPE. Let [tex]x[/tex] be the length of KE, [tex]y[/tex] the length of EP, and [tex]z[/tex] the length of OP.
By similarity, we have
[tex]\dfrac{OE}{AK}=\dfrac{EP}{KP}=\dfrac{OP}{AP}\iff\dfrac45=\dfrac y{y+x}=\dfrac z{z+9}[/tex]
OPE is a right triangle, so
[tex]OP^2=OE^2+EP^2\implies z=\sqrt{16+y^2}[/tex]
Now,
[tex]\dfrac45=\dfrac y{y+x}\implies 4(y+x)=5y\implies 4x=y[/tex]
and we also have
[tex]z=\sqrt{16+(4x)^2}=\sqrt{16+16x^2}=4\sqrt{1+x^2}[/tex]
Substituting this into the expression containing [tex]z[/tex] gives us an equation that we can solve for [tex]x[/tex]:
[tex]\dfrac45=\dfrac z{z+9}=\dfrac{4\sqrt{1+x^2}}{4\sqrt{1+x^2}+9}[/tex]
[tex]16\sqrt{1+x^2}+36=20\sqrt{1+x^2}[/tex]
[tex]9=\sqrt{1+x^2}[/tex]
[tex]\implies KE=x=\sqrt{80}=3\sqrt{10}[/tex]
Graph for [tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex]
Answer:
The graph is attached below
Step-by-step explanation:
The function has three asymptotes. Before we can graph the function, we can find them.
Vertical asymptotes in the values that make the denominator zero.
The denominator becomes zero in:
[tex]x = -2\\x = 1\\[/tex]
Then the vertical asymptotes are the lines
[tex]x = -2\\x = 1\\[/tex]
The horizontal asymptote is found using limits
[tex]\lim_{x\to \infty}\frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex]
Then:
[tex]\lim_{x\to \infty}\frac{(2x^2-12x +3x -18)}{x^2-x+2x-2}[/tex]
We divide the numerator and the denominator between the term of greatest exponent, which in this case is [tex]x ^ 2[/tex]
The terms of least exponent tend to 0
[tex]\lim_{x\to \infty}\frac{(2\frac{x^2}{x^2}-0 +0 -0)}{\frac{x^2}{x^2}-0+0-0}\\\\\lim_{x\to \infty}\frac{2}{1} = 2\\\\[/tex]
The function has a horizontal asymptote on y = 2 and has no oblique asymptote
The graph is attached below
What is measure of angle A?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
Answer:
[tex]A=53.13\°[/tex]
Step-by-step explanation:
The figure shows a right triangle.
To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:
[tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex]
Identify the angle [tex]\alpha[/tex], the opposite side and the adjacent side:
[tex]\alpha=A\\opposite=4cm\\adjacent=3cm[/tex]
Substitute into [tex]\alpha=arctan(\frac{opposite}{adjacent})[/tex].
The measure of the angle A is:
[tex]A=arctan(\frac{4}{3})\\\\A=53.130\°[/tex]
Rounded to the nerarest hundreth:
[tex]A=53.13\°[/tex]
The answer is m∠A = 53.13 °
(6CQ) Evaluate the limit, or state that the limit does not exist. 2n+7n/13n
Answer:
option(b)
9/13
Step-by-step explanation:
Given the expression
[tex]\frac{2n+7n}{13n}[/tex]
=[tex]\frac{9n}{13n}[/tex]
n will cancel out on both sides
so,
9/13 will remain
As 9/13 is a constant so any value of n when approaches to a constant will not affect it. Hence limit = 9/13
It is one of the limit laws thatThe limit of a constant function is equal to the constant.
Answer:
B
Step-by-step explanation:
Five people will equally share 2 pizzas.How much pizza will each person will receive?
Answer:
⅖ pizza
Step-by-step explanation:
Divide each pizza into five slices.
Then there will be 10 slices, and each person will get two slices.
Two slices = ⅖ pizza
Each person will receive ⅖ pizza.
Each of the five people will receive 2/5 of a pizza when two pizzas are shared equally amongst them.
Explanation:The student asked how much pizza each person will receive if five people are sharing two pizzas equally. To answer this, we divide the total number of pizzas by the number of people. Since there are 2 pizzas and each pizza is usually considered to be 1 whole, when split among 5 people, each person will get 2/5 of a pizza.
You roll a number cube numbered from 1 to 6. What is the probability that the number is 2,6,3,4,or 1
[tex] \frac{5 \: = \: number \: of \: favorable \: outcomes}{6 \: = \: number \: of \: possible \: outcomes} [/tex]
Since there are 6 possible outcomes, that will become the denominator. In addition, since we are trying to find the probability of rolling 5 numbers out of that 6, 5 would be the numerator.
So the answer is,
[tex] \frac{5}{6} [/tex]
The probability that the number is 2,6,3,4, or 1 is 5/6.
What is probability?Probability is the ratio that shows the likelihood that an event will occur from a given set of events.
The probability of the given event can be found as shown below:A cube has six sides. Each side has a unique number.
We have to find the probability of getting 2,6,3,4, or 1.
The total number of favorable events = 5
The sample space has 6 events.
Therefore, the probability is given by 5/6.
Therefore, we have found the probability that the number is 2,6,3,4, or 1 to be 5/6.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ2
Explain how to determine if the number is a solution to the equation. 56 = 8 + 4n for n = 6
To determine if the number is a solution to the equation, we have to substitute n with the number given.
56= 8 + 4(6)
56= 8 + 24
56= 32
So no, the number is not a solution to the equation.
The number is a solution of a linear equation if both sides of the equation namely RHS and LHS are equivalent.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here, the equation as 56 = 8 + 4n and to verify for n=6
Here, LHS =56 and RHS when n=6 is 8+4×6=32
Thus LHS≠RHS
Hence n=6 is not a solution to the equation.
Learn more about the solution of a linear equation here:
https://brainly.com/question/545403
#SPJ5
A team is excavating an archeological site. The original plan was to excavate a rectangular area 35 ft long
by 20 ft wide. Instead, the team decided to excavate a similar rectangle that is 50 ft wide. Find the length
and the area of the new rectangle.
CAN SOMEONE HELP??
Answer:
Part 1) The length of the new rectangle is [tex]87.5\ ft[/tex]
Part 2) The area of the new rectangle is [tex]4,375\ ft^{2}[/tex]
Step-by-step explanation:
we know that
If two rectangles are similar, then the ratio of its corresponding sides is proportional
step 1
Find the length of the new rectangle
Let
L-----> the length of the new rectangle
[tex]\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft[/tex]
step 2
Find the area of the new rectangle
we know that
The area of the rectangle is
[tex]A=LW[/tex]
we have
[tex]L=87.5\ ft[/tex]
[tex]W=50\ ft[/tex]
substitute
[tex]A=(87.5)(50)=4,375\ ft^{2}[/tex]
Consider the line that passes through the point P(l,-3) and is parallel to the line -3x-4y=9. Write the point-slope equation of the line. Use exact values.
parallel slopes always has the same exact slope.
The equation of required line is [tex]y=-\frac{3}{4} x-\frac{9}{4}[/tex]
Slope-intercept equation :Equation of line which is given,
[tex]-3x-4y=9\\\\y=\frac{-3x+9}{4} =-\frac{3}{4}x+\frac{9}{4}[/tex]
Compare above equation with [tex]y=mx+c[/tex]
Where m is slope of line, [tex]m=-\frac{3}{4}[/tex]
The slope of parallel lines are always equal.
So that, slope of required line is also [tex]-\frac{3}{4}[/tex].
[tex]y=-\frac{3}{4} x+c[/tex]
the line that passes through the point [tex]P(1,-3)[/tex]
Substitute given point in required equation of line.
[tex]-3=-\frac{3}{4} *1+c\\\\c=-3+\frac{3}{4} \\\\c=-\frac{9}{4}[/tex]
The equation of required line is [tex]y=-\frac{3}{4} x-\frac{9}{4}[/tex]
Learn more about the slope-intercept form of line here:
https://brainly.com/question/1884491
first to answer gets brainlyest
Answer: 60 degrees
Step-by-step explanation:
the line is 180 degrees so minus 50 equals 130 minus 10 120 divide my 2 60
3x/5-0.5=1.9
a: 0.16
b: 16
c: 4
d: 2.3
Answer:
C. 4
Step-by-step explanation:
(3x/5) - 0.5 = 1.9
+ 0.5 +0.5
3x/5 = 2.4
*5 *5
3x = 12
— —
3 3
X = 4
Answer is C
I hope I helped!
Let me know if you need anything else!
~Zoe
How many Cubes with the side length of 1/4 unit would it take to make a unit cube
Answer:
4
Step-by-step explanation:
1/4 is a quarter at up 1/4 4 time and it gives you a whole, 1/4+1/4+1/4+1/4=1
What is the length of the missing side of the triangle in simplest radical form? the figure is not drawn to scale.
Answer:
option (c)
4√34
Step-by-step explanation:
Given in the question is a right angle triangle
height of triangle = 20 cm
base of triangle = 12 cm
To find the length of missing side of the triangle we will use pythagorus theorem
hypotenuse² = height² + base²hypotenuse² = 20² + 12²
hypotenuse² = 400 + 144
hypotenuse² = 544
take square root on both sides
√hypotenuse² = √544
hypotenuse = 4√34 cm
Hence, the length of missing side of the triangle is4√34 cm
Which of the following is equal to the expression below?
(8.320)(1)/(3)
A. 30
B. 8\root(3)(5)
C. 10\root(3)(5)
D. 40
The expression (8.320)(1)/(3) simplifies to approximately 2.7733.
The expression (8.320)(1)/(3) can be simplified as:
Multiply 8.320 by 1 to get 8.320.Divide the result by 3 to get approximately 2.7733.Therefore, the answer is 2.7733, which is not among the provided options.
1. Preliminaries Remember the setup: We (the RAF in World War II) want to know the number of warplanes fielded by the Germans. That number is N. The warplanes have serial numbers from 1 to N, so N is also equal to the largest serial number on any of the warplanes. We only see a small number of serial numbers (assumed to be a random sample with replacement from among all the serial numbers), so we have to use estimation. Question 1.1 Is N a population parameter or a statistic? If we compute a number using our random sample that's an estimate of N, is that a population parameter or a statistic?
Answer:
N is a population parameter; the computation using an estimate of N is a statistic.
Step-by-step explanation:
A parameter is a measure of a population. The number of warplanes fielded total is N; this makes it the population. Thus N is a parameter.
A statistics is a measure of a sample. The number computed using an estimate of N would be based on a sample, since it is an estimate of N; this makes it a statistic.
70 POINTS!!!! HURRY PLEASEE!
A lab assistant tracked an object’s travel time in hours. However, the lab director wants the time tracked in minutes. customary system Help the lab assistant complete the table. How many minutes did the object travel after 2.5 hours? 100 120 150 180
Answer:
150 minutes
Step-by-step explanation:
Since your solving for minutes you need to change the 2.5 hours into minutes. There is 60 minutes in 1 hour. you take 60 and multiply it by 2.5 because you need to find the total minutes. When you multiply those teo you get 150 minutes. Please give me the brainliest answer.
:D Hoped this helped!!! Have a good day!! <3
Answer:
150 minutes
Step-by-step explanation:
1 hours = 60 minutes
We need to use the conversion factor with minutes on top
2.5 hours * 60 minutes
-------------
1 hour
Canceling hours
2.5 *60 minutes
150 minutes
A winter jacket is marked down 75% from its original price. According to the new price tag, it now costs $52.50. What was the original price?
Answer:
x = 70
Step-by-step explanation:
70 % of x = 52.50
75 out of 100 X = £ 52.50
Answer:
The Original Price of the Winter Jacket is $70
Step-by-step explanation:
The Original Price is calculated by using the given information on a Simple Rule of Three formula, which looks like the following.
X --------> 100%
$52.50 --------> 75%
The Rule of Three simply asks if $52.50 is 75% then What is 100%? We solve the Rule of Three by multiplying $52.50 by 100 and then dividing the result by 75.
[tex]X = \frac{52.50*100}{75}[/tex]
[tex]X = 70[/tex]
According to the formula the Original Price of the Winter Jacket was $70
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
John picks 150 apples on the first day, 250 on the second day, 350 on the third day, and so on. How many apples does John pick on the 10th day?
1250
1150
1050
950
To determine the number of apples John picks on the 10th day, we use the formula for the nth term of an arithmetic sequence. Given the first day's pick at 150 apples and an increase of 100 apples each day, we find that John picks 1050 apples on the 10th day.
Explanation:An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the preceding term.
In this case, the first term (the number of apples picked on the first day) is 150, and the common difference (the increase each day) is 100 apples.
To find the number of apples picked on the 10th day, we use the formula for the nth term of an arithmetic sequence, which is:
an = a1 + (n - 1) × d
Where an is the nth term, a1 is the first term, n is the term number, and d is the common difference. For the 10th day:
a10 = 150 + (10 - 1) × 100
a10 = 150 + 9 × 100
a10 = 150 + 900
a10 = 1050
Therefore, John picks 1050 apples on the 10th day.
Please help me solve this as soon as possible.
Thanks!!
BRAINLIEST TO FIRST WHO ANSWERS
Answer:
x=-5
Step-by-step explanation:
Set up the rational expression with the same denominator over the entire equation.
2x-2/6=3x+3/6
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
2x−2=3x+3
Move all terms containing x to the left side of the equation.
−x−2=3
Move all terms not containing x to the right side of the equation.
-x=5
Multiply each term in x=−5 by −1
x=−5
A plumber charges $55 per hour plus a $50 service charge. Kevin hired the plumber to install a new hot water heater. What are the total charges if the plumber took 4 hours to complete the installation?
A.
$220
B.
$250
C.
$255
D.
$270
The correct answer is D.
$55 per hour x 4 hours = $220
$220 + $50 service charge = $270 total
Hope this help.
Answer:
D. $270
Step-by-step explanation:
$55 per hour for 4 hours = $55 * 4 = $220
$50 service fee
total = hourly amount + service fee
total = $220 + $50
total = $270
1. In the figure below, ABC ~ PQR.
in given figure, ABC is 4 cm and PQR is 6 cm
If the area of ABC is 40 cm2, what is the area of PQR? Show your work.
2. A science museum has a spherical model of the earth with a diameter of 8.5 m. What is the volume of the model? Use 3.14 for and round your answer to the nearest whole number. Show your work.
(4 points: 1-Work shown, 1-Calculations, 1-Area, 1-Units)
Answer:
1. The area of the triangle PQR is 40 cm^2.
2. 321.4 cubic cm
Step-by-step explanation:
1. We are given two triangles, ABC and PQR, which are similar to each other.
Given that area of the triangle ABC is [tex]40cm^2[/tex], we are to find the area of the triangle PQR.
For that, we can use the ratio method:
[tex] \frac { P Q R } { 4 0 } = \frac { 6 } { 4 } [/tex]
Area of triangle PQR = [tex] \frac { 6 \times 40 } { 4 } = 60cm^2 [/tex]
2. We are given the diameter of a spherical model to be 8.5 cm so its radius will be 4.25 cm.
Finding the volume of the spherical model as we know that the volume of a sphere is given by:
[tex]\frac{4}{3} \pi r^3[/tex]
Substituting the given value of radius in the formula to get:
Volume of spherical model = [tex]\frac{4}{3} \times 3.14 \times (4.25)^3[/tex] = 321.4 cubic cm
PLEASE HELP!!!!!!!
For f(x) = 4x + 3 and g(x) = 9x find the following composite functions and state the domain of each
(a) f o g (b) g o f (c) f o f (d) g o g
(a) (f o g)(x) =
Answer:
Step-by-step explanation:
For f(x) = 4x + 3 and g(x) = 9x
(a) (f o g) (x)
= f (g (x))
= f (9x)
= 4(9x) +3
= 36x + 3
Its domain is any real number.
(b) (g o f) (x)
= g (f (x))
= g (4x + 3)
= 9 (4x + 3)
= 36x + 27
Again its domain is any real number.
(c) (f o f) (x)
= f (f (x))
= f (4x + 3)
= 4(4x + 3) + 3
= 16x + 12 + 3
= 16x + 15
Again its domain is any real number.
(d) (g o g) (x)
= g ( g (x))
= g (9x)
= 9(9x)
= 81x
Again its domain is any real number.
Answer:
solution given:
f(x) = 4x + 3
g(x) = 9x
answer:
a.fog(x)=f(9x)=4×9x+3=36x+3
domain=real number
b.gof (x)=g(4x+3)=9(4x+3)=36x+26
domain=real number
c.fof(x)=f(4x+3)=4(4x+3)+3=16x+12+3
=16x+15
domain: real number
d.
gog(x)=g(9x)=9×9x=81x
domain: real number.
Solve the system of equations using the substitution method. Y = 7x – 16, y = 2(2x – 5) What is the solution? ( , )
Answer is ( 2, -2 ) so x=2 and y=-2
Answer:
(2,-2)
Step-by-step explanation:
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation.
Given that Y = 7x – 16, y = 2(2x – 5)
Equating both equations
7x - 16 = 4x - 10
7x -4x = 16 - 10
3x = 6
x = 2
Substituting the value of x into Y = 7x – 16
y = 7(2) - 16
y = 14 - 16
y = -2
hence
(x,y) = (2,-2)
A coin is tossed. The probability of getting tails is 1?2. What is the likelihood of getting tails?
It’s a 50/50 chance since there is only 2 sides. (1?2)