Answer:
Step-by-step explanation:
When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be
V = k/P
If V = 370 in³ and P = 15psi, then
370 = k/15
k = 370 × 15 = 5550
The equation that relates the volume, V, to the pressure, P would be
V = 5550/P
if the pressure was increased to 25psi, the volume would be
V = 5550/25 = 222 in³
Answer:
v=5550/p
222
Step-by-step explanation:
Karen, Pete, Rose, and David are comparing their solutions to a homework problem below.
(+ + 8
(-2)
1
Select the student who correctly subtracted the rational expressions,
Karen:
Pete:
+ 8 - 7
2
2)
5
(1 + 8)(x + 5) - 7
(1 - 2)(+ 5)
12 + 135 + 40 - 77 + 14
2 + 3x - 10
1? +61 + 54
12 + 91 - 10
Rose:
David:
(1 + 5
(1 + 8)
(r
+3+*5
(+216-6= x2 + 35 – 10
1 + 1
x2 + 3x - 10
7: + 8) + (x - 2)(= + 5)
7(: - 2)
II
75 + 8 + 12 + 91 - 10
78 14
2 + 101 - 2
70 - 14
Answer:pete
Step-by-step explanation:
Find the values of x and y.[tex]x = 34\sqrt3 y = 17\\x = y = 34, y = 17\sqrt3\\x= y = 17, y = 34\sqrt3\\\\\\x= 17\sqrt3 y = 34[/tex]
Answer:
The value of "x" is 34 and the value of "y" is 17.
Step-by-step explanation:
"x" is shown as 34 and "y" is shown on the rectangular shape in the number form of 17. If your trying to find the area of the rectangle the area is 578.
I NEED HELP PLEASE, THANKS! :)
Answer: C
Step-by-step explanation:
Use the multiplication rule for matrices - Multiply 1st row of first matrix with 1st column of second matrix and find their sum. Repeat for each row and column.
A x B
[tex]\left[\begin{array}{cc}1&5\\-3&4\end{array}\right] \times \left[\begin{array}{cc}2&6\\6&-1\end{array}\right]=\left[\begin{array}{cc}1(2)+5(6)&1(6)+5(-1)\\-3(2)+4(6)&-3(6)+4(-1)\end{array}\right]\\\\\\.\qquad \qquad \qquad \qquad \qquad \quad =\left[\begin{array}{cc}32&1\\18&-22\end{array}\right][/tex]
Ahmed is taking orders for lunch. A slice
of pizza costs $2.5 and a chicken
sandwich costs $3.5. He collects $21.5
for the group of 7 people.
Let x = number of pizza orders. Let
y = number of chicken orders.
PLEASE HELP
Answer:
x+y=7; 2.5x+3.5y=21.5(x, y) = (3, 4)Step-by-step explanation:
Perhaps you want a system of equations and their solution.
You have defined the variables, so you just need to write the relationships.
x + y = 7 . . . . we assume one order per person
2.50x + 3.50y = 21.50 . . . . we assume Ahmed collected just enough
__
Multiplying the first equation by 2.5 and subtracting that from the second equation, we get ...
(2.50x +3.50y) -2.5(x +y) = (21.50) -2.5(7)
y = 4
x = 7 -4 = 3
There were 3 pizza orders and 4 sandwich orders.
a jacket originally sold for $45. this week it went on sale for 20% off. what is the discount and what is the sales price?
Answer:
discount = 9
new price = 36
Step-by-step explanation:
The discount is the price times the discount percent
45 * 20%
Change to decimal form
45*.20
9
The new price is the original price minus the discount
45-9 = 36
What is the value of the angle marked with xxx?
Answer:
Here you go!! :)
Step-by-step explanation:
Given that the sides of the quadrilateral are 3.3
The measure of one angle is 116°
We need to determine the value of x.
Value of x:
Since, the given quadrilateral is a rhombus because it has all four sides equal.
We know the property that the opposite sides of the rhombus are equal.
The measure of the opposite angle is 116°
x = measure of opposite angle
x = 116°
Then, the value of x is 116°
Therefore, the value of x is 116°
Answer:
In the diagram, the measurement of x is 87°
Step-by-step explanation:
In this diagram, this shape is a quadrilateral. This quadrilateral in this picture is known as rhombus. In a rhombus, the consecutive angles are supplementary meaning they have a sum of 180°. Consecutive means the angles are beside each other. So, we will subtract 93 from 180 to find the value of x.
180 - 93 = 87
The measurement of x is 87°
I need HELP please can someone help
Answer:
-y
Step-by-step explanation:
The common factors of 2/3xy and 10/3 are 2, 1/3, 10, x, y.
-y is not a common factor.
AWNSER ASAP WILL MARK BRAINLEST!!What is the best name for angle Y? Triangle X Y Z. Side X Z extends to form angle W. exterior angle alternate interior angle remote interior angle adjacent interior angle
Answer:
Remote interior angle
Step-by-step explanation:
<Y is a remote (non-adjacent) interior angle for <w.
━━━━━━━☆☆━━━━━━━
▹ Answer
Remote Interior Angle
▹ Step-by-Step Explanation
∠Y is a non-adjacent interior angle for ∠W.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Asmaa is shopping for an infant car seat. She has a coupon for 20% off any purchase over $35
at a baby supply store in Manhattan. On a tax-free weekend, she finds a car seat priced at $130.
How much money does Asmaa's coupon save her?
Answer:
just find the persentage on a tax, then minus the orignal price.
Step-by-step explanation:
Answer:
$26
Step-by-step explanation:
thats 20% of 130
A tabletop has an area of 12 square feet and a perimeter of 16 ft. What are the dimensions of the table? 2 ft by 6 ft 2 ft by 8 ft 4 ft by 3 ft 4 ft by 4 ft
Answer:
2 ft by 6
Step-by-step explanation:
The dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Since, the area of a rectangle is:
Area = length x width
We know that the area of the table is 12 square feet,
So, we can write:
12 = length x width
And, use the formula for the perimeter of a rectangle:
Perimeter = 2 x length + 2 x width
We know that the perimeter of the table is 16 feet, so we can write:
16 = 2 x length + 2 x width
Now we have two equations with two variables (length and width), which we can solve simultaneously as.
Let's rearrange the second equation to solve for length:
16 = 2 x length + 2 x width
16 - 2 x width = 2 x length
8 - width = length
Now we can substitute this expression for length into the first equation:
12 = length x width
12 = (8 - width) x width
12 = 8w - w²
We can rearrange this equation into standard quadratic form:
w² - 8w + 12 = 0
Now we can use the quadratic formula:
where a = 1, b = -8, and c = 12
w = (-(-8) ± √((-8)² - 4(1)(12))) / 2(1)
w = (8 ± √(16)) / 2
w = 4 ± 2
Hence, w = 2
w = 6
So the possible values for the width are 2 and 6.
If the width is 2 feet, then the length is:
length = 8 - width = 6 feet
If the width is 6 feet, then the length is:
length = 8 - width = 2 feet
Therefore, the dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ3
The largest fish ever caught in Lake A weighed 650 pounds. This is 208.2 pounds less than seven times the weight of the largest fish ever caught in Lake B. Find the weight of the largest fish caught in Lake B nts
Answer:
122.6 pounds
Step-by-step explanation:
Let's call the weight of the largest fish from lake A 'x', and the weight of the largest fish from lake B 'y'.
If x is 208.2 pounds less than seven times y, we have that:
[tex]x = 7y - 208.2[/tex]
We know that x is equal 650 pounds, so we can find y:
[tex]650 = 7y - 208.2[/tex]
[tex]7y = 650 + 208.2[/tex]
[tex]7y = 858.2[/tex]
[tex]y = 122.6\ pounds[/tex]
So the weight of the largest fish caught in Lake B is 122.6 pounds
a) Suppose we were not sure if the distribution of a population was normal. In which of the following circumstances would we NOT be safe using a t procedure?
A. A histogram of the data shows moderate skewness.
B. The mean and median of the data are nearly equal.
C. A stemplot of the data has a large outlier.
D. The sample standard deviation is large.
(b) Which of the following is an example of a matched pairs design?
A. A teacher compares the pre-test and post-test scores of students.
B. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%.
C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction.
D. A teacher compares the scores of students in her class on a standardized test with the national average score.
(c) You are thinking of using a t procedure to test hypotheses about the mean of a population using a significance level of 0.05. You suspect the distribution of the population is not normal and may be moderately skewed. Which of the following statements is correct?
A. You may use the t procedure, but you should probably only claim the significance level is 0.10.
B. You may not use the t procedure. t procedures are robust to nonnormality for confidence intervals but not for tests of hypotheses.
C. You may use the t procedure, provided your sample size is large, say at least fifty.
D. You should not use the t procedure because the population does not have a normal distribution.
1. Answer: C) stemplot with a large outlier
The large outlier will skew the data to make it nonnormal. A moderate skew isn't as bad as a large one, so choice A is a fairly safer choice to go with in terms of using the T procedure. The size of the standard deviation does not affect the normality of the distribution.
============================================
2. Answer: A) Teacher comparing pre-test and post-test results
A matched pairs design is basically a before and after sort of thing, most of the time anyway. Each person's pre-test score is paired up with their post-test score to see if any significant improvement has been made. This is also known as a paired T test
============================================
3. Answer: C) You may use the t procedure, provided your sample size is large, say at least fifty.
Some textbooks say n > 30 is sufficient. It will depend on the textbook and your teacher of course. The idea is that if n is large enough, then by the CLT (central limit theorem), the distribution of sample means will be approximately normal, which allows you to use the T procedure and T distribution even if the underlying distribution may not be normal and/or skewed.
1a. A deep-sea diver is at sea level. He submerges 15 feet per minute,
How many feet below sea level is he after submerging for 10 minutes? First question.
Second question,Then write an integer representing the deep-sea current location.
PLZZZ answer this correctly and i give you a brainliest!!!
Answer:
150, 15x
Step-by-step explanation:
After ten minutes he will be 15 * 10 = 150 feet below sea level.
We can call the number of minutes the diver has been underwater for as x so the integer is 15 * x = 15x.
find the value of x given the shape
Answer:
x = 5
Step-by-step explanation:
Note: I'm assuming this shape is a trapezoid, so I'm basing a theorem of that fact. Tell me if it's not a trapezoid.
1. Identify the theorem:
There is a theorem you can use for this problem that states that the length of the meadian of a trapezoid is equal to the average of the lengths of the bases of the trapezoid.
So what I mean is:
(Base 1 Length + Base 2 Length)/2 = length of the median of a trapezoid
2. Identify:
Base 1: FC = 6x-6
Base 2: AD = 38
Median: EB = 7x-4
3. Substitute:
(Base 1 Length + Base 2 Length)/2 = length of the median of a trapezoid
(FC + AD)/2 = EB
(6x-6 + 38)/2 = 7x-4
4. Solve for x:
x = 5
How do i work out what 6/7 of 77 is?
Answer:
First of all "of " means multiplication
To calculate 6/7 of 77 multiply 6/7 by 77
That is
6/7 × 77
= 6 × 11 = 66
Hope this helps you
Answer:
66
Step-by-step explanation:
6/7 × 77
Multiply.
462/7
Divide.
= 66
Form three equations starting with x=1/2
Answer:
Step-by-step explanation:
x - 1/2 =0
2x = 1
4x = 2
Answer:
x + 3 = 7/2
100x = 50
16/x = 24
Step-by-step explanation:
The value of x is 1/2 in the three equations.
The new CD burner costs 12% less at the new electronics store. This statement shows the use ofwhich of the following concepts?
(a)Absolute change (c)Relative change
(b) Absolute difference (d) Relative difference
Answer:
Option D is correct.
This statement shows the use of relative difference.
Step-by-step explanation:
Taking each of the answer choices one at a time
- Absolute Change
This expresses the exact value of alterations or modifications that happen to a particular quantity. It gives exactly how much the value of the same quantity has changed at different times or conditions. The statement in this question compares two different quantities (price of new CD burner at two different stores), hence it doesn't give the absolute change.
- Absolute Difference
This expresses the exact value of the difference between two quantities. The statement in the question on its own cannot give us the absolute value of the difference between the cost of new CD burner at the two stores being compared. Hence, this isn't the correct answer.
- Relative Change
Thìs expresses how much a particular quantity has changed with respect to its value at some other period of time or under some other condition(s). The question in this statement compares two different quantities and isn't the right answer.
- Relative Difference
This expresses the difference between two quantities wit respect to or relative to one of the two quantities being compared. This is exactly what the statement in the question expresses by saying that the new CD burner costs 12% less at the new electronics store.
It compares the telative difference of the new CD burner at the new and old electronics store.
Hope this Helps!!!
An object is launched directly in the air speed of 16 feet per second from a platform located 5 feet above the ground. The position of the object can be modeled using the function f(x)=-16t^2+16t+5, where t is the time of seconds and f(t) is the height of the object. What is the maximum height in feet that the object will reach?
Answer:
The maximum height that the object will reach is of 9 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
In this question:
[tex]f(t) = -16t^{2} + 16t + 5[/tex]
So
[tex]a = -16, b = 16[/tex]
The instant of the maximum height is:
[tex]t_{v} = -\frac{16}{2*(-16)} = 0.5[/tex]
The maximum height is:
[tex]f(0.5) = -16*(0.5)^2 + 16*0.5 + 5 = 9[/tex]
The maximum height that the object will reach is of 9 feet.
Answer:
24
Step-by-step explanation:
What is 6 1/2 subtracted by 2 2/3
Answer:
The answer to this equation is 3 5/6
Step-by-step explanation:
in order to solve this problem, we must first turn these fractions into improper fractions. We can do this by multiplying the base number with the denominator and adding the numerator to that number.
6 1/2 = 13/2
2 2/3 = 8/3
Now, set up your equation.
13/2 - 8/3
Change the denominators to the same number so it will be easier to subtract.
39/6 - 16/6
Now subtract.
23/6 = 3 5/6
Answer:
3 5/6
Step-by-step explanation:
6 1/2 - 2 2/3 = 13/2 - 8/3
(39 - 16)/6 = 23/6 = 3 5/6
If f(x) = 3 - 2x and g(x)= 1/(x+5),what is the value of (f/g) (8)?
Answer:
(f/g)(8) = -169
Step-by-step explanation:
Simply plug in x = 8 into our equation:
[tex]\frac{3-2(8)}{\frac{1}{8 + 5} }[/tex]
[tex]\frac{-13}{\frac{1}{13} }[/tex]
-13(13)
-169
Ten different numbers are written on pieces of paper and thrown into a hat. The sum of all the numbers is 205. What is the probability of selecting four numbers that have a sum greater than 82
Answer:
The probability is 40%
Step-by-step explanation:
a) There are ten pieces of paper with ten numbers
Probability of selecting four pieces of paper = 4/10 or 40%
Probability that the four numbers selected will have a sum greater than 82 = 82/205 = 40%
Therefore, the probability of selecting four numbers that have a sum greater than 82 out of ten numbers totalling 205 is 40%.
b) Probability is the ratio of the number of outcomes favourable for the event to the total number of possible outcomes. In other words, it is a measure of the likelihood of an event (or measure of chance).
Help me with this please I will give you Brainliest
suppose your given the formula n=3m-2l if you know that l= m+2 how could you rewrite that formula
n=m+4
step-by-step explanation:given formula,
n=3m-2l
and,
l=m+2
here in this question We have to substitute the values of "l" in the formulae
we get,
n=3m-2(m+2)
n=3m-2m+4
n=m+4
so if we complete the process correctly we get n=m+4
Orlando bought a new couch for 1,968 , using the furniture store's finance plan. He will pay 164 a month for 12 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram
Answer: 3 grams
Step-by-step explanation:
[tex]210\bigg(\dfrac{1}{2}\bigg)^6=\dfrac{210}{64}\quad =\large\boxed{3.28125}[/tex]
Based on a survey, assume that 38% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when four consumers are randomly selected, exactly two of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting two consumers comfortable with drones followed by two consumers not comfortable, as in this calculation: (0.38 )(0.38 )(0.62 )(0.62 )equals0.0555?
Answer:
What is wrong is that the combinations were not used. It has to be used because of the different ordering that the customers may be chosen. The correct answer is 0.333
Step-by-step explanation:
For each custoer, there are only two possible outcomes. Either they are confortable with drones delivering their purchases, or they are not. Customers are independent. So the binomial distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
38% of consumers are comfortable having drones deliver their purchases.
This means that [tex]p = 0.38[/tex]
Four consumers are randomly selected
This means that [tex]n = 4[/tex]
Probability that exactly two of them are comfortable with the drones
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.38)^{2}.(0.62)^{2} = 6*(0.38)*(0.38)*(0.62)*(0.62) = 0.3330[/tex]
What is wrong is that the combinations were not used. It has to be used because of the different ordering that the customers may be chosen.
The circumference of a circle varies directly with the radius. A circular pizza with a radius of 3in has a circumference of about 18.84in. Write the equation using direct variation that relates the circumference, C, to the radius, r. What is the circumference, in square inches, of a personal pizza with a radius of 2in?
Answer:
c=kr
c=12.56in when r=2in
Step-by-step explanation:
Circumference (c) of a circle varies directly with radius(r)
Equation that relates the circumference and radius is
c=kr
Radius=3in
Circumference=18.84in
18.84=k*3
k=18.84/3
k=6.28
Find circumference when radius=2in
c=kr
c=6.28*2
=12.56in
c=12.56in
Answer:
C=6.28r, the circumference is 12.56 inches
Step-by-step explanation:
We are given that the pizza's circumference, C, varies directly with the radius, r. This means
C=k⋅r
for some constant, k.
Since a circular pizza with a radius of 3in has a circumference of 18.84in, we substitute these values into the formula for direct variation to find
18.84=k⋅3
Dividing by 3 gives k=6.28, so an equation that relates C and r is
C=6.28⋅r
Substituting r=2 yields
6.28⋅2=12.56
So a personal pizza with a radius of 2in has a circumference of 12.56in.
Tell whether the following set is an empty set or not.
A = {A quadrilateral having 3 obtuse angles}
Answer:
It is not an empty set
Step-by-step explanation:
A quadrilateral with 3 obtuse angles is possible.
A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.
Let’s say three angles are measuring 91 degrees in a quadrilateral.
91 + 91 + 91 + x = 360
x = 87
The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.
Answer:
It is not an empty set
Step-by-step explanation:
Obtuse angles are angles greater than 90 and less than 180.
There are quadrilaterals having 3 obtuse angles and they are possible.
If we imagine 3 obtuse angles of 91 degrees (obtuse angle), the 4th angle will be
360-91-91-91
=> 87 degrees
So, This quadrilateral can be constructed!
And also with 92, 93, 94 and so on!
So, Set A is not an empty set!
A transformation of ΔSTV results in ΔUTV. 2 triangles are connected at their base. Both triangles have identical side lengths and angle measures. Which transformation maps the pre-image to the image? dilation reflection rotation translation
Answer:
the answer is reflection
Step-by-step explanation:
i took edg
The transformation maps the pre- image to image by reflection.
What is reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
Given:
A transformation of ΔSTV results in ΔUTV.
As, both the triangles are connected to the base and having identical side length and angle measure.
So, here the transformation is refection.
Learn more about transformation here:
https://brainly.com/question/11709244
#SPJ2
The prize in a raffle is a flat-screen TV valued at $350, and 1,000 tickets are sold for a dollar each. Let’s find the expected value if you buy 1 ticket. Find the expected value. Round your answer to two decimal places. Remember a gain would be posit
Answer:
the expected value EV = −$0.65
Step-by-step explanation:
Expected value EV = expected gain - expected loss
Given;
Cost of a ticket L = $1
Probability of losing the ticket P(L)= 999/1000 = 0.999
Cost of a flat screen TV = $350
Expected gain G = $350 - $1 = $349
Probability of winning the TV P(G) = 1/1000 = 0.001
EV = G × P(G) - L × P(L)
Substituting the values;
EV = $349 × 0.001 - $1 × 0.999
EV = −$0.65
the expected value EV = −$0.65
