Answer:
$275 a month
Step-by-step explanation:
Let x represent how much each friend is paying.
The amount Jane pays can be represented by 2x, since she is paying double than her friends.
Add together these terms and set them equal to 550. Then, solve for x:
x + x + 2x = 550
4x = 550
x = 137.5
So, each friend is paying $137.50. Double this to find how much Jane is paying:
137.5(2)
= 275
So, Jane is paying $275 a month
The development of AstroWorld ("The Amusement Park of the Future") on the outskirts of a city will increase the city's population at the rate given below in people/year t yr after the start of construction. 5,700 t 11,000 The population before construction is 67,000. Determine the projected population 16 yr after construction of the park has begun. people
Complete question :
The development of AstroWorld ("The Amusement Park of the Future") on the outskirts of a city will increase the city's population at the rate given below in people/year t yr after the start of construction. 5,700√t + 11,000 The population before construction is 67,000. Determine the projected population 16 yr after the construction of the park has begun. people
Answer:
486,200
Step-by-step explanation:
Given that the rate of change in population is represented by the function:
f(t) = 5,700√t + 11,000
To get the original function, we take the integral of the rate function because the rate of change is obtained by taking the derivate of the original equation
f(t) = 5,700t^1/2 + 11,000
Taking the integral of f with respect to t:
∫(5,700t^1/2 + 11,000)
[5700t^(1/2 + 1)] / (1/2 + 1) + 11000t + C
[(5700t^3/2)/ 3/2] + 11000t + C
Where C = constant
If population before construction = 67000
Then C = 67000
t = time = 16 years
Substitute values into the original change equation:
[(5700(16)^3/2)/ 3/2] + 11000t + 67000
[(5700 * 64) / 1.5] + 11000(16) + 67000
243200 + 176000 + 67000
= 486,200
Which of the following best defines the midpoint of a segment? A. The point that splits a line segment into two equal parts. B. Any point on a line segment in between the two endpoints. C. When a line segment is split into equal thirds, a midpoint is any point in the middle third. D. Any point that is closer to one endpoint of the segment than the other.
Answer:
A. The point that splits a line segment into two equal parts.
Step-by-step explanation:
A. The point that splits a line segment into two equal parts.
Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is A.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.
The statement that best describes the midpoint of a segment is the point that splits a line segment into two equal parts.
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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!!
Determine the intervals where the value of f(x) is positive, when f(x)= (x + 7)(2x + 3)(x + 5). Choose all that apply
a. -∞ < x < 7
b. -7 < x < -5
c. -5 < x < -3/2
d. -3/2 < x < ∞
Answer:
b and dStep-by-step explanation:
Find zero's:
x = -7x = -3/2x = -5The intervals:
x < -7, all negative, the result is negativex is between -7 and -5, two negatives, the result is positivex is between -5 and -3/2, one negative, the result is negativex is greater than -3/2, all 3 positives, the result is positiveAs we see correct choices are b and d
In a frequency distribution of 290 scores, the mean is 99 and the median is 86. One would expect this distribution to be:
Answer:
positively skewed to the right
Step-by-step explanation:
The measure of the central tendency is a profound way to describe the mean, median and mode. The measure of central tendency indicates where the center of distribution tends to be. The measure of central tendency provide a validity and answers whether the scores are high or generally low.
In this measure,The mean is usually pulled to the tail. The skewed is determined by where the tail goes, to the right side , it is positively skewed and to the left side , it is known as negatively skewed distribution.
Given that:
In a frequency of distribution of 290 scores,
the mean = 99
the median = 86
One would expect this distribution to be; positively skewed to the right since the mean value is greater than the median value.
2^x [(x+1)^3 -1] =2^x - (x+1)^3 + 1
Evaluate the expression of both of the whole number X values. One will be negative and the other positive. Identify the negative value as a lower bound and a positive value as a upper bound.
Answer:
Step-by-step explanation:
Given
2^x [(x+1)³ -1] = 2^x - (x+1)³ + 1
Lep p = 2^x, and q = (x+1)³ - 1
Then the original equation becomes
pq = p - q
p - q - pq = 0
p(1 - q) - q = 0
p = q/(1 - q)
2^x = [(x+1)³ - 1]/[-(x+1)³]
2^x = [1 - (x+1)³]/[(x+1)³]
2^x = (x+1)^(-3) - 1
A bag of 100 hard candies included 30 butterscotch, 40 peppermint, 15 strawberry, 10 orange, and 5 banana. The probability that the first candy pulled out of the bag will be butterscotch or strawberry is .45
a) true
b) false
Answer:
true
Step-by-step explanation:
there is 100 candies. That means we can easily turn the amount of each type of candy into a percent. there was 30 butterscotch which means that is 30 percent. There was 15 strawberry which means that is 15 percent. add that and you get 45. This is a shortcut and i advise you use the way your teacher taught you.
[tex]|\Omega|=100\\|A|=30+15=45\\\\P(A)=\dfrac{45}{100}=0.45[/tex]
So TRUE
There are 4 roads leading from Bluffton to Hardeeville, 10 roads leading from Hardeeville to Savannah, and 5 roads leading from Savannah to Macon. How many ways are there to get from Bluffton to Macon
Answer: 200 ways
Step-by-step explanation:
From the given information:
Total number of roads leading from Bluffton to Hardeeville = 4
Total number of roads leading from Hardeeville to Savannah = 10
Total number of roads leading from Savannah to Macon = 5
We need to find the total number of ways to get from Bluffton to Macon.
Total number of ways to get from Bluffton to Macon = 4 * 10 * 5
= 200
Therefore, there are 200 required number of ways to get from Bluffton to Macon.
i will give brainliest and 5 stars if you help ASAP
Answer:
[tex] Area = 240 m^2 [/tex]
Step-by-step explanation:
The area of the right triangle above = [tex] \frac{1}{2}*base*height [/tex].
Where,
base = 16 m
height = 30 m
Plug in the above values into the area formula:
[tex] Area = \frac{1}{2}*16*30 [/tex]
[tex] Area = 8*30 [/tex]
[tex] Area = 240 m^2 [/tex]
Refer to the attachment for solution.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate:_________.
(a) find the critical value t Subscript alpha divided by 2 tα/2,
(b) find the critical value z Subscript alpha divided by 2 zα/2, or
(c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n equals = 236, x overbar x equals = 30.3 hg, s equals = 7.2 hg. The confidence level is 95%.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. t Subscript alpha divided by 2 tα/2 equals = nothing (Round to two decimal places as needed.)
B. z Subscript alpha divided by 2 zα/2 equals = nothing (Round to two decimal places as needed.)
C. Neither the normal distribution nor the t distribution applies.
Answer:
B. z Subscript alpha divided by 2 zα/2 = 1.96.
Step-by-step explanation:
We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:
n = 236, [tex]\bar x[/tex] = 30.3 hg, s = 7.2 hg. The confidence level is 95%.
As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.
It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.
Here, [tex]\alpha[/tex] = level of significance = 1 - 0.95 = 0.05 or 5%
[tex]\frac{\alpha}{2}=\frac{0.05}{2}[/tex] = 0.025 or 2.5%
So, the value of [tex]Z_(_\frac{\alpha}{2} _)[/tex] in the z table is given as 1.96 with a 2.5% level of significance.
. Tachycardia means ...................heart rate a) fast b) slow c) irregular d) arrhythmic
Answer:
no entiendo inglés........,
Hi,
Answer:
Tachycardia is a fast heart rate
|3(x–2)|=12 pls help i need assistance
Answer:
x1 = -4
x2 = 6
Step-by-step explanation:
The 2 vertical lines are "absolute values" meaning whatever they contain has to be positive
For Example
|-3| = 3
So we can ignore if the answer we get is positive or negative because it will forced to be a positive
|3 x 4| = 12
|x - 2| = 4
x1 = 6
x2 = -2
Find the length of FV¯¯¯¯¯¯¯¯ A. 72.47 B. 77.71 C. 49.42 D. 56.84
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios here.
To find FV we use cosine
cos∅ = adjacent / hypotenuse
From the question
FV is the hypotenuse
TV is the adjacent
So we have
cos 43 = TV/FV
FV = TV/ cos 43
TV =53
FV = 53/ cos 43
FV = 72.4683
We have the final answer as
FV = 72.47Hope this helps you
Answer:
FV=72.47
Step-by-step explanation:
cos43=adj/hyp.=VT/FV
cos43=53/FV
FV=53/cos43
FV=72.46835= 72.47 rounded to the nearest hundredth
nolan completely fills a glass with water and then pours the water into a bowl. he does this until the bowl is completely filled with water. The full glass holds 1 1/3 cups of water the full bowl holds 4 2/3 cups of water How many full glasses of water does the bowl hold
Answer:
[tex]\bold{3\dfrac{1}{2 }}[/tex] full glasses of water the bowl holds.
Step-by-step explanation:
Full glass of water holds [tex]1\frac{1}{3}[/tex] cups of water.
Full bowl of water holds [tex]4\frac{2}{3}[/tex] cups of water.
To find:
How many full glasses of water does the bowl hold ?
Solution:
Let us convert the unit of cups of water to glass of water.
Given that
[tex]1\frac{1}{3}[/tex] or [tex]\frac{4}{3}[/tex] cups of water is equivalent to 1 full glass of water
Now, let us use unitary method to find the answer.
[tex]\frac{4}{3}[/tex] cups of water is equivalent to 1 full glass of water
1 cups of water is equivalent to [tex]\frac{3}{4}[/tex] full glass of water
[tex]4\frac{2}{3}[/tex] or [tex]\frac{14}{4}[/tex] cups of water is equivalent to [tex]\frac{3}{4}\times \frac{14}3 = \frac{14}{4}[/tex] full glass of water
[tex]\dfrac{14}{4} = \dfrac{7}{2} = \bold{3\dfrac{1}{2}}[/tex] full glass of water is the quantity the bowl holds.
Michael's team is trying to determine how they can process shipments more quickly. He has convened a large group to come up with some ideas, but only a few people are driving the conversation. Which rule of good brainstorming is this violating? a) All ideas are recorded O b) Make sure everyone participates O c) No one may criticize another person's idea d) Evaluate ideas after everything is on the table
Make sure everyone participates. Therefore, option B is the correct answer.
This violates rule b) Make sure everyone participates. Michael has convened a large group, however only a few people are driving the conversation. In order to have a successful brainstorming session, everyone must participate and all ideas should be heard. This will ensure that all ideas are taken into account and that the team can come up with the best solutions.
Therefore, option B is the correct answer.
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a data set includes 110 body temperatures of healthy adult humans having a mean of 98.1F and a standard deviation of 0.64F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans
Answer:
The 99% confidence interval is [tex]97.94 < \mu < 98.26[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 110
The sample mean is [tex]\= x = 98.1 \ F[/tex]
The standard deviation is [tex]\sigma = 0.64 \ F[/tex]
Given that the confidence level is 99% the level of significance i mathematically evaluated as
[tex]\alpha = 100 - 99[/tex]
[tex]\alpha = 1\%[/tex]
[tex]\alpha = 0.01[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution, the values is
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
substituting values
[tex]E = 2.58 * \frac{ 0.64}{\sqrt{110} }[/tex]
[tex]E = 0.1574[/tex]
Generally the 99% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
substituting values
[tex]98.1 - 0.1574 < \mu < 98.1 + 0.1574[/tex]
[tex]97.94 < \mu < 98.26[/tex]
Answer:
Step-by-step explanation:
what is the equation for a parabola with a focus at (2,2) and a directix of x=8
Answer:
( y-5) ^2 =-12(x-2)
Step-by-step explanation:
focus at (2,2) and a directrix of x=8
Using the equation
( y-k) ^2 = 4p(x-k)
where ( h,k) is the vertex
The vertex is 1/2 way between the focus and the directrix
( 2+8)/2 , 2
5,2 is the vertex
( y-5) ^2 = 4p(x-2)
distance from the focus to the vertex and from the vertex to the directrix is
| p|
2-5 = p
-3 = p
( y-5) ^2 = 4*-3(x-2)
( y-5) ^2 =-12(x-2)
In 1815, Sophie Germain won a mathematical prize given by the Institut de France for her work on the theory of elasticity. The prize was a medal made of 1 kilogram of gold. How much is the medal worth today in U.S. dollars and in euros
Answer:
gold price : $58.72/gram
$58,720 per kilo(1000) grams
Step-by-step explanation:
Find the Value of X 1. Solve for X algebraically. 2. Using complete sentences, describe your method for finding X.
The value of x using complete sentences is 40 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees. A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We are given that;
The measure of angles 75,50 and 85
Now,
In triangle 1
50+75+y=180
y=180-125
y=55
In triangle 2
55+85+x=180
140+x=180
x=40
Therefore, by angle sum properties of triangle answer will be 40 degrees.
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A special mixed-nut blend at a store cost $1.35 per lb, and in 2010 the blend cost $1.83 per lb. Let y represent the cost of a pound of the mixed-nut blend x years after 2005. Use a linear equation model to estimate the cost of a pound of the mixed-nut blend in 2007.
Answer:
y = $1.542 per lb
Step-by-step explanation:
given data
mixed-nut blend store cost 2005 = $1.35 per lb
blend cost in 2010 = $1.83 per lb
solution
we consider here y = cost of a pound
and x year = after 2005
we will use here linear equation model
so
[tex]\frac{y - 1.35}{1.83-1.35} = \frac{x-10}{5 - 0}[/tex] .........................1
solve it we get
5y - 6.75 = .48 x
so
at 2007 year here x wil be 2
so
[tex]y = \frac{0.48 \times 2 + 6.75}{5}[/tex]
solve it we get
y = $1.542 per lb
5cot^2x + 15= 11cosecx
Answer:
11 cosecx is right answer.........
1. What is sin(A)?
1
T
2
2. What is
tan(B)?
5
3
4
13
12
이
3. What is
cos(C)?
5
3
B
5
6
4. What is
cos(D)?
7
AddP
Answer:
Sin A=0.6
Tan B = 1.3333
Cos C= 0.9231
Cos C= 0.3846
Step-by-step explanation:
For sin A
Sin A= opposite/hypotenuse
Sin A= 3/5
Sin A=0.6
For Tan B
Tan B = opposite/adjacent
Tan B = 4/3
Tan B = 1.3333
For cos C
Cos C = adjacent/hypotenuse
Cos C= 12/13
Cos C= 0.9231
For Cos D
Cos D= adjacent/hypotenuse
Cos C = 5/13
Cos C= 0.3846
Help me please thank you
Step-by-step explanation:
To solve for x, we set up our equation like this:
7x - 7 = 4x + 14
Next, we subtract 4x from the right side to cancel it out and then subtract 4x from the left side.
7x (-4x) - 7 = 4x (-4x) + 14
3x - 7 = 14
Then, we add 7 on both sides (to cancel the -7 out and place it on the right)
3x - 7 (+7) = 14 + 7
3x = 21
Finally, we divide both sides by 3 to isolate our variable, x.
3x ÷ 3 = x
21 ÷ 3 = 7
Our final answer: x = 7
Find the value of x.
Answer: x = 6
Concept:
From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.
Solve:
Given information
One side = 6
Second side = x
Given expression deducted from the definition of an isosceles triangle
Second side = First side
Substitute values into the expression
[tex]\boxed {x=6}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple
Answer:
Step-by-step explanation:
Hello, by definition a perfect square can be written as [tex]a^2[/tex] where a in a positive integer.
So, to answer the first question, [tex]6^2[/tex] is a perfect square.
(a,b,c) is a Pythagorean triple means the following
[tex]a^2+b^2=c^2[/tex]
Here, it means that
[tex]x^2=20^2+21^2=841=29^2 \ \ \ so\\\\x=29[/tex]
Thank you.
Answer:
Its B
Step-by-step explanation:
I need help on this one please
Hi
Income tax is progressive
So with 50 000 we have :
0.02*3000 + 0.03 ( 5000 -3001) + 0.05 ( 17 000-5001) + 0.0575 ( 50 000 - 17 001) = 60+ 59.97+599.95 + 1897.44 = 2617.36
tax is = 2617.36
What is the purpose for post tests?
Answer:
The real reason of post test is to measure it's result in comparison to a pre test and determine d how much student has progressed over a term of instruction.
Consider the line y = 4x + 9. If a second line is perpendicular to this one, what is its slope?
Answer:
Step-by-step explanation:
slope of line perpendicular to y=mx+c is -1/m
so here reqd. slope=-1/4
Any number that CAN be divided by 2 without having remainder is considered an _______ number
Step-by-step explanation:
Any number that can be divided by 2 without having remainder is considered an even number.
I hope it helped U
stay safe stay happy
0.003 is 1/10 of
Please help I need this for homework !!!!!!!!!!!!
Answer:
0.03
Step-by-step explanation:
Find the sum of the first 274 natural numbers.
Answer:
37675
Step-by-step explanation:
ummm what is did was
274/2 = 137
and then times that by 275
because
274+1 = 275
273+2 = 275
...
137+137 = 275
so the ans is 137(275) which is equal to 37675