The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 200 feet, what are the room's dimensions?
OA. Width=64 ft; length=136 ft
OB. Width=32 ft; length=68 ft
OC. Width=37 ft; length = 78 ft
O D. Width=48 ft; length = 52 ft
Answer:
B
Step-by-step explanation:
Permieter = 2(l + w)
200ft = 2(l + w)
l = 4 + 2w
200ft = 2(4 + 2w + w)
200ft = 2(4 + 3w)
200ft = 8 + 6w
6w = 192ft
w = 32ft
l = 4 + 2(32ft)
= 4 + 64ft
= 68ft
So the answer is B
Hope this helps!
Brainliest and a like is much appreciated!
The mayor of a town believes that under 74% of the residents favor construction of an adjoining bridge. Is there sufficient evidence at the 0.10 level to support the mayor's daim? After information is gathered from 290 voters and a hypothesis test is completed, the mayor decides to reject the null hypothesis at the 0,10 level. What is the conclusion regarding the mayor's claim? Answer Keyboard Shortcuts There is sufficient evidence at the 0.10 level of significance that the percentage of residents who support the construction is under 7.$8 There is not sutficient evidence at the 0.10 level of significance that the percentage of residents who support the construction is under 74 ₹
Based on the hypothesis test conducted at the 0.10 level of significance with information gathered from 290 voters, the mayor decides to reject the null hypothesis. Therefore, there is sufficient evidence at the 0.10 level to support the mayor's claim that under 74% of the residents favor construction of the adjoining bridge.
To assess the mayor's claim, a hypothesis test is conducted. The null hypothesis (H0) assumes that the percentage of residents favoring the construction is equal to or greater than 74%. The alternative hypothesis (Ha) suggests that the percentage is under 74%.
By gathering information from 290 voters, data is analyzed to determine if there is enough evidence to reject the null hypothesis. The significance level is set at 0.10, meaning that if the p-value (probability value) obtained from the test is less than 0.10, the null hypothesis is rejected.
Since the mayor decides to reject the null hypothesis at the 0.10 level, it implies that the p-value is less than 0.10. This indicates that there is sufficient evidence to support the mayor's claim that under 74% of the residents favor construction of the adjoining bridge.
In conclusion, based on the hypothesis test and the decision to reject the null hypothesis, the evidence suggests that the percentage of residents supporting the construction is indeed under 74%, supporting the mayor's claim.
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Which system is represented in the graph?
y < x2 – 2x + 4
y < x2 + 4
y ≥ x2 – 2x + 4
y < –x2 + 4
y ≥ x2 – 2x + 4
y ≤ –x2 + 4
y > x2 – 2x + 4
y ≤ x2 + 4
The system that is represented by the graph is inequality 3
What is system of inequalities?
A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.
We are given the graph of inequalities and given 4 choices out which 1 is the correction representation of the inequalities given in the graph
Now As you can see one the parabolas open downwards that means the term x^2 is negative in that case where as the other parabola opens upwards hence the term x^2 is positive.
So second and third options are the options which satisfies this criteria
if we put x = 0 in the second equation of both the inequalities we get y= 4
This criteria is satisfied by only inequality 3 hence the correct system of inequality is inequality 3
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Answer:y ≥ x2 – 2x + 4
y < –x2 + 4
Step-by-step explanation:
a rectangular prism has a volume of 252 in.3. if a rectangular pyramid has a base and height congruent to the prism, what is the volume of the pyramid?
The volume of the rectangular pyramid is 84 cubic inches.
Since the rectangular prism has a volume of 252 in.3 and is rectangular, we know that its volume can be calculated as length x width x height. Let's call the length, width, and height of the rectangular prism "l", "w", and "h", respectively.
So, we have:
l x w x h = 252 in.3
Now, we know that the rectangular pyramid has a base and height that are congruent to the prism. This means that the base of the pyramid is also a rectangular shape with length "l" and width "w", and the height of the pyramid is also "h".
The formula for the volume of a rectangular pyramid is:
(1/3) x base area x height
Since the base of the pyramid is congruent to the base of the prism, the base area of the pyramid is also l x w. So, we can substitute these values into the formula:
(1/3) x (l x w) x h
Simplifying:
(1/3) x lwh
We already know that we = 252 in.3, so we can substitute that in:
(1/3) x 252 in.3
Simplifying:
84 in.3
Therefore, the volume of the rectangular pyramid is 84 in.3.
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what is 88 6/12 rounded to the nearest whole number
Answer: 88 1/2
Step-by-step explanation:
easy
Answer:
89
Step-by-step explanation:
Answer the following questions using 125 words or more:
Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently?
What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What would you do differently?
Link to video 2min https://media-release.glynlyon.com/g_mat08_ccss_2016/4/media/html5/anm_scale_drawing_comic_project/media/video.mp4
Answer:
given in a triangle rst and another triangle ratOn a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, ...
9 votes
what is the volocity of a plane that traveled 3,000 miles from new york to california in 4.5 hours? socratic.org
What is speed?
Velocity is defined as the speed of movement of an object along its direction. Velocity tells you how fast an object is moving and the direction it's moving. Similar to velocity, but also adds direction. Therefore, velocity is directed velocity, although velocity has no direction.
how to calculate speed
Find the initial velocity of an object by dividing the time it took the object to travel the specified distance by the total distance. In the formula V = d/t, V is velocity, d is distance, and t is time.
According to the question given data,
Distance=3000miles
Time=4.5hours
Put the value of formula
V=3000/4.5
V=666.66m/s
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pla help asap giving 15 points serious people only
Answer:
3b+17
Step-by-step explanation:
First you distribute
=(3)(b) + (3)(4) + 5
=3b + 12 + 5
Then you combine the like terms:
=3b + 12 + 5
=(3b) + (12 + 5)
=3b + 17
Answer:
3b+17
Step-by-step explanation:
3(b+4)+5
3b+12+5
3b+17
Are 1 divided by 3/4 and 1/3 divided by 4 equivalent fractions?
Answer:
No Because 1/1 : 3/4 = 4/3 and 1/3 : 4/1 = 1/12
What is the measure of x? *
X
80°
180 degrees
100 degrees
80 degrees
360 degrees
Answer: 80 degrees
Step-by-step explanation:
Answer:
80 degrees!
Step-by-step explanation:
There's this weird phenomenon with parallel lines, that if you trace a line over it, you would get the same angle on the opposite side of the line.
The locus of point equidistant from three vertices of a triangle is……………
Answer:
circumcenter
Step-by-step explanation:
You want to know the name of the point equidistant from the vertices of a triangle.
CircumcircleThe circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.
The point equidistant from the vertices of a triangle is the circumcenter.
__
Additional comment
The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.
i’m so confused on this question
Answer:
l: y = 4
m: y = -2x + 4
n: y = x - 1
p: undefined
Step-by-step explanation:
See attached graph
The original price of a goldfish is $6.75. There is 5% sales tax on all purchases. What is the selling price of the goldfish including sales tax?
Answer:
$7.09
Step-by-step explanation:
5% times 6.75 and add that is 7.09 dollars including tax
An ordinary deck of cards contains 52 cards divided into four suits. The red suits are diamonds (Ⓡ) and hearts (), and the black suits are clubs (%) and spades (~). Each suit contains 13 cards of the following denominations: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), and A (ace). The cards J, Q, and K are called face cards. Imagine choosing a card at random from a thoroughly mixed deck. Consider the event that the chosen card is red and has an even number on it. Which of the following expresses this event as a set? {2, 4, 6, 8, 100, 2, 4, 6, 8, 10•} {2, 40, 60, 80, 2, 4, 6, 8•} {24, 4a, 6A, 8A, 10A, 24, 44, 64, 84, 104} 24, 44, 6A, 8A, 104, 2, 4, 6, 8, 10v} {24, 44, 6A, 8A, 104, 24, 44, 64, 84, 104, 2, 4, 6, 8, 100, 2, 4, 6, 8, 10} What is the probability of this event?
The probability of this event is 3/13. The event described is choosing a red card with an even number from a deck. To express this event as a set, we will include all even-numbered cards from the red suits (diamonds and hearts). This set is: {2♦, 4♦, 6♦, 8♦, 10♦, 2♥, 4♥, 6♥, 8♥, 10♥}.
Now let's find the probability of this event. There are 52 cards in the deck and 10 cards in the event set. Therefore, the probability is:
P(event) = (number of favorable outcomes) / (total number of outcomes) = 10 / 52 = 5 / 26 ≈ 0.1923
The probability of choosing a red card with an even number from a deck is approximately 0.1923 or 19.23%.
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ASAP!!! ITS URGENT
A square and a trapezoid have equal areas.
Find the length of a side of the square if the upper base of the trapezoid is 10 mm, the altitude is 12 mm, and the legs are 13 mm each.
Answer:
Step-by-step explanation:
parallel to y = 1/2x+3 and through the point (4,5)
1. A model lighthouse has a diameter of 10 inches and a height of 24
inches. If the actual diameter of the lighthouse is 24 feet, find the
actual height.
Answer:
Step-by-step explanation:
The values of m for which y = x^m is a solution of x^2y - 5xy' + 8y = 0 are Select the correct answer. 2 and 4 -2 and -4 3 and 5 2 and 3 1 and 5
None of the given answer choices (2 and 4, -2 and -4, 3 and 5, 2 and 3, 1 and 5) are correct.
What is a polynomial?
A polynomial is a mathematical expression consisting of variables (also known as indeterminates) and coefficients, combined using addition, subtraction, and multiplication operations. The variables in a polynomial are raised to non-negative integer powers.
To find the values of "m" for which the function \(y = x^{m}\) is a solution of the given differential equation \(x^{2} y - 5xy' + 8y =0\) we need to substitute \(y = x^{m}\) into the equation and see which values of "m" satisfy it.
\(x^{2} (x^{m} )- 5xx^{m}' + 8x^{m} = 0\)
\(x^{m+2} - 5(x^{m+1} ) + 8x^{m} = 0\)
Now, we can divide the equation by \(x^{m}\) assuming x not equal to 0
\(x^{2} - 5x + 8 = 0\)
This is a quadratic equation, and we can solve it using the quadratic formula:
\(x=-b+-\sqrt{b^{2}-4ac }/2a\)
For this equation, a=1, b=-5, c=8 Plugging these values into the quadratic formula, we get:
\(x=-5+-\sqrt{25-4*1*5}/2*1\)
\(x=5+-\sqrt{-7}/2\)
Since we have a negative value inside the square root, the quadratic equation has no real solutions. This means there are no values of "m" for which \(y=x^{m}\) is a solution of the given differential equation.
Therefore, none of the given answer choices (2 and 4, -2 and -4, 3 and 5, 2 and 3, 1 and 5) are correct.
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Find the value of P.
PLEASE HELP ME WITH THIS QUESTION! Thankss
The probability of choosing two green grapes is 0.10, while the probability of eating a green grape and then a red grape is 0.23.
What is the probabiltity of choosing two green grapes?Probability of choosing a green grape the first time:
8/23 = 0.34Probability of choosing a green grape the second time:
7/22= 0.310.34 x 0.31 = 0.10 or 10%What is the probability of choosing a green grape and then a red grape?Probability of choosing a green grape the first time:
8/23 = 0.34Probability of choosing a green grape the second time:
15/22= 0.680.34 x 0.68 = 0.23 or 23%Learn more about probability in: https://brainly.com/question/11234923
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2/3x+15=17 please and thank you
Answer:
x=3
Step-by-step explanation:
2/3x+15=17
first subtract 15 from both sides
2/3x=2
multiply by 3 to eliminate the fraction
2x=6
divide by 3
x=3
Answer:
x=3
Step-by-step explanation:
2/3x +15 = 17
2/3x = 17-15
2/3x = 2
x = 2 / 2/3
x = 2/1 * 3/2
x = 6/2
x = 3
Simplify to create an equivalent expression. 1+4(6p−9)
ms. Diaz buys strawberries by the pound at a farmers market . she pays $21.25 for all her strawberries. one pound of strawberries cost $4.25
Answer:
5 strawberries
Step-by-step explanation:
$21.25÷$4.25=5
Which of the following regressions represents the weakest linear relationship
between x and y?
Regression 1
y = ax + b
a = -5.8
b=-6.5
r = -0.7621
Regression 2
y = ax + b
a = 2.4
b = -14.7
T= = 0.809
Regression 3
y = ax + b
= -7.4
b=-17.4
a=
r=-0.233
Regression 4.
yax+b
a = -3.4
b= -8.5
T= -0.6121
Please send help
Answer:
Step-by-step explanation:
The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.
Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:
Regression 1: y = -5.8x - 6.5, r = -0.7621
Regression 2: y = 2.4x - 14.7, r = 0.809
Regression 3: y = -7.4x - 17.4, r = -0.233
Regression 4: y = -3.4x - 8.5, r = -0.6121
Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.
Combined gas law
Please reply with the steps, I'm confused
Answer:
V₂ = 1.0 L
Step-by-step explanation:
Combined Gas Law
\(\sf \dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}\)
where:
P₁ is the initial pressure.V₁ is the initial volume.T₁ is the initial temperature.P₂ is the final pressure.V₂ is the final volume.T₂ is the final temperature.Temperature must be in kelvins (K).
To convert Celsius to kelvins, add 273.15.
Volume can be in any unit.
Given values:
P₁ = 5 atmV₁ = 1 LT₁ = 300 KP₂ = 10 atmT₂ = 600 KRearrange the equation to isolate V₂:
\(\implies \sf V_2=\dfrac{P_1V_1T_2}{P_2T_1}\)
Substitute the given values into the equation:
\(\sf \implies V_2=\dfrac{5 \cdot 1 \cdot 600}{10 \cdot 300}\)
\(\sf \implies V_2=\dfrac{3000}{3000}\)
\(\sf \implies V_2=1.0\;L\)
Therefore, the volume of V₂ is 1.0 L.
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A system of equations is shown below.
y=2/3x−5
y=1/2x+3
How many solutions does the system have?
A.2 solutions
B.no solutions
C.infinite solutions
D.1 solution
The solution to the system is (x,y) = (48,19).
To find the solutions to the system of equations, we need to find the values of x and y that satisfy both equations simultaneously. One way to do this is to set the two expressions for y equal to each other and solve for x:
2/3x−5 = 1/2x+3
Multiplying both sides by 6 (the least common multiple of 3 and 2) to clear the fractions, we get:
4x - 30 = 3x + 18
Simplifying, we get:
x = 48
Now that we know x, we can substitute it into either of the original equations to find the corresponding value of y. Let's use the first equation:
y = 2/3(48) - 5 = 19
So the solution to the system is (x,y) = (48,19).
Since there is exactly one solution, the answer is (D) 1 solution.
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Two groups of people, the Yellow Group and the Orange Group, suddenly find themselves in a world where there are only two 'production opportunities': pumping water and picking berries.
After a little while the Yellow Group has learned that it seems to produce about 2 gallons per hour while pumping water and about 8 berries per hour while picking.
Meanwhile the Orange Group has learned that it seems to produce about 1 gallon per hour while pumping water and about 3 berries per hour while picking.
If there is a division of labor and trade between the Yellow Group and the Orange Group, then it would be possible for each group to consume ______________ than they could if each group consumed what it produced itself.
A. more berries (but not more water)
B. more water (but not more berries)
C. more water and more berries
D. none of the above
What is the standard form of a liner equation?
State if the given functions are inverses.
find two numbers who's difference is 10 and 1/6 of whose sum is 11
Answer:
38 and 28
Step-by-step explanation:
let the 2 numbers be a and b
(a - b)= 10.................................................1
1/6(a + b) = 11
hence (a + b) = 66...................................2
adding 1 and 2
a -b + a + b = 10 + 66
2a=76
a = 38
b=28