Answer:
1. 20x+8=48 2. x=2 3. the area of the square is 144units^2
Step-by-step explanation:
assuming its a perfect 4 sides square the total perimeter would be 5x + 2 units multiplied by 4 = the perimeter so 20x+8 = 48
20x+8=48
subtract 8 from both sides
20x=40
divide 20
x = 2 units
For area plug x back into 5x+2 and you will get 12 units for one side and all sides here should be 12 units so multiply one side with another
12 x 12 = 144 units^2
Answer:
Well I answered in the comments, but I need points so the answers are (in order) 12, 2, and 144
Step-by-step explanation:
Since it's a square, the sides will be the same length. If the perimeter is 48, then you divide 48 by 4 and you will have 12- your answer.
For x, subtract 2 from 12 to get ten, then divide that by five to get your answer which would be 2.
If the side length is 12, you square that and 12 squared is 144.
An airplane takes 8 hours to fly an 8000 km trip with the wind. The return trip (against the wind) takes 10 hours. Determine the speed of the plane and the speed of the wind
The speed of the plane is 900 km/h, and the speed of the wind is 100 km/h.
Let's denote the speed of the plane as P and the speed of the wind as W.
When the airplane is flying with the wind, the effective speed of the plane is increased by the speed of the wind. Conversely, when the airplane is flying against the wind, the effective speed of the plane is decreased by the speed of the wind.
We can set up two equations based on the given information:
With the wind:
The speed of the plane with the wind is P + W, and the time taken to cover the 8000 km distance is 8 hours. Therefore, we have the equation:
(P + W) * 8 = 8000
Against the wind:
The speed of the plane against the wind is P - W, and the time taken to cover the same 8000 km distance is 10 hours. Therefore, we have the equation:
(P - W) * 10 = 8000
We can solve this system of equations to find the values of P (speed of the plane) and W (speed of the wind).
Let's start by simplifying the equations:
(P + W) * 8 = 8000
8P + 8W = 8000
(P - W) * 10 = 8000
10P - 10W = 8000
Now, we can solve these equations simultaneously. One way to do this is by using the method of elimination:
Multiply the first equation by 10 and the second equation by 8 to eliminate W:
80P + 80W = 80000
80P - 80W = 64000
Add these two equations together:
160P = 144000
Divide both sides by 160:
P = 900
Now, substitute the value of P back into either of the original equations (let's use the first equation):
(900 + W) * 8 = 8000
7200 + 8W = 8000
8W = 8000 - 7200
8W = 800
W = 100
Therefore, the speed of the plane is 900 km/h, and the speed of the wind is 100 km/h.
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please answer fast need help
which of the following forms of research or data would be more likely used by a quantitative research study than by a qualitative research study? a. interview data b. personal narrative data c. economic data d. archival data
The form of "research-data" which is likely to be used by quantitative research study than by a qualitative research study is (c) Economic data.
The Quantitative research depends on numerical data and statistical analysis to answer research questions, while
The Qualitative research depends on non-numerical data such as words, images, or observations to gain an understanding of the context of the phenomenon being studied.
The Economic data, such as data on income, expenditures, or market trends, is typically collected and analyzed using statistical methods, making it more suitable for quantitative research.
Therefore, the correct option is (c) economic data.
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The given question is incomplete, the complete question is
Which of the following forms of research or data would be more likely used by a quantitative research study than by a qualitative research study?
(a) interview data
(b) personal narrative data
(c) economic data
(d) archival data.
PLEASE HELP!!!! 50 POINTS!!
Solve x to the power of 3 = -343, where x is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
The value of x is ,
\(x=-7,\frac{7+7i\sqrt{3} }{2}, \frac{7-7i\sqrt{3} }{2}\)
Solution of the Equation:When a variable's value is put into an equation, it produces a true declaration, which is known as the solution. The action of determining an equation's solution is referred to as solving the problem. Determining the equation's solution helps to determine the value of the variable that renders the equation true.
The set of values used to substitute the unknowns in an equation to make it true is known as the solution. Two fundamental algebraic laws, the additive property and the multiplicative property, are used to find the solutions to equations with a single unknown raised to a single power.
Now in the given question,
It is given that,
\(x^3=-343\\\\x^3+343=0\\\\x^3+7^3=0\\\)
..........(1)
we know the formula,
\(a^3+b^3=(a+b)(a^2-ab+b^2)\\\\then\)
in (1),
\((x+7)(x^2-x*7+7^2)=0\\\\then,\\\\x+7=0\\\\x^2-x*7+7^2=0\\\\Then we have\\ \\x=-7\\\\and\\\\x=\frac{7+7i\sqrt{3} }{2} ,\frac{7-7i\sqrt{3} }{2}\)
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Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation
(-7,-6); y = - 4x + 4
Answer:
y = -4x-34
Step-by-step explanation:
From the line to which the line is parallel, we can get the slope
The general form of a linear model is;
y = mx + b
where m
is the slope and b is the y-intercept
From the question, using the given line,
we have the slope of that line as -4
Now, we want to write the equation of a line that passes through (-7,-6) and has a slope of -4
we can use the point-slope form
for this
That would be;
y-y1 = m(x-x1)
y + 6 = -4(x+ 7)
y + 6 = -4x -28
y = -4x -28-6
y = -4x - 34
a bag contains red marbles, white marbles, green marbles, and blue marbles. there are an equal number of red marbles and white marbles, and five times as many green marbles as blue marbles. there is a chance of selecting a red marble first. what is the fewest possible number of green marbles in the bag?
The fewest possible number of green marbles in the bag is 5.
Defined the word probability?Probability is used to describe the chances of an occurrence. We can evaluate the numerical data involved with the likelihood that a distinct event will occur using probability. Probabilities are expressed as percentages, or, in decimal number, as numbers ranged from 0% to 100%.As per the stated question.
Since there is a 35% possibility of obtaining a red, the same percentage must apply to getting a white.
35+35=70%
You have a 100% probability of selecting a marble,
70+30=100
The probability that you will select a blue or green stone must thus be 30%.
And if there are B blue marbles, then there will be 5 green marbles.
B+5B=30%
6B=30%
Blue=5%
Green = 30-5=25%
Thus, the ratio becomes.
Red: White: Green : blue
35 : 35 : 25: 5
Dive each by 5.
7 : 7 : 5 : 1
Thus, the fewest possible number of green marbles in the bag is 5.
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The complete question is-
A bag contains red marbles, white marbles, green marbles, and blue marbles. There are an equal number of red marbles and white marbles, and five times as many green marbles as blue marbles. There is a 35% chance of selecting a red marble first. What is the fewest possible number of green marbles in the bag?
Calculate the value of x to one decimal place
The value of x in the triangle is 3.4 cm
How to determine the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
Using the above as a guide, we have the following:
tan(43) = 3.2/x
Make x the subject of the formula
So, we have the following representation
x = 3.2/tan(43)
Evaluate
x = 3.4
Hence, the solution is 3.4
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1400 divided by 32 Banana anan
Answer:
43.75
Step-by-step explanation:
lol look it up bruh
The 1400 divided by 32 is equal to 43 with a remainder of 16.
To calculate 1400 divided by 32, we perform the division operation step by step.
Step 1: Divide the first two digits of 1400 (14) by 32:
14 ÷ 32 = 0 with a remainder of 14
Step 2: Bring down the next digit of 1400 (0) and combine it with the remainder from Step 1 (14) to form 140:
140 ÷ 32 = 4 with a remainder of 12
Step 3: Bring down the next digit of 1400 (0) and combine it with the remainder from Step 2 (12) to form 120:
120 ÷ 32 = 3 with a remainder of 24
Step 4: Bring down the last digit of 1400 (0) and combine it with the remainder from Step 3 (24) to form 240:
240 ÷ 32 = 7 with a remainder of 16
Step 5: There are no more digits left to bring down, so the final result is 7 with a remainder of 16.
Therefore, 1400 divided by 32 is equal to 43 with a remainder of 16.
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Kenza a vendu les 7 quart de sa récolte de muguet pour 280 euros.
Combien lui aurai rapporté le vente de la totalité de sa récolte?
Answer:
280/4=70
Step-by-step explanation
espero que esto ayude :D
Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).
Answer:
15x/2*4
Step-by-step explanation:
L,U,N,C,H,L,U,N,C,H,L,U. Is a pattern that continues to infinity.
Answer:
Yes
Step-by-step explanation:
because it is going to keep saying LUNCH
HELP! ASAP! 4x+3y=12 (find the x and y-intercepts to graph.
Y intercept (x = 0)
4(0)+3y=12
3y = 12
y = 12/3
y = 4
X intercept (y = 0)
4x+3(0)=12
4x = 12
x = 12/4
x = 3
R/ The intercept with x is (3,0) and with y (0,4)
Interior and Exterior Triangle Angles
Answer:
∠ WXY = 20°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ XYZ is an exterior angle of the triangle, thus
10x - 5 = 3x + 17 + 3x + 2
10x - 5 = 6x + 19 ( subtract 6x from both sides )
4x - 5 = 19 ( add 5 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6
Thus
∠ WXY = 3x + 2 = 3(6) + 2 = 18 + 2 = 20°
Solve. 1/3(x+3/5)=3
x=36/5
x=42/5
x=48/5
Answer:
x=42/5
Step-by-step explanation:
what fraction plus what fraction equal 5/3
Answer:
5/6 and 5/6
Step-by-step explanation:
If the two fractions are equal, then they must each be half of 5/3, so they are 5/6.
5/6 + 5/6 = 10/6 = 5/3
Answer: 5/6
Luke, Kira, and Ali each served 23 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution
Complete Question:
Luke, Kira, and Ali each served 2/3 of their own cake. Each cake was the same size, but Luke served 4 slices, Kira served 6 slices, and Ali served 8 slices. How is this possible? Enter your answers in the boxes to complete the solution.
A. Luke cut his cake into how many slices?
B. Kira cut her cake into how many slices?
C. Ali cut her cake into how many slices.
Answer:
A. 6 slices.
B. 9 slices.
C. 12 slices.
Step-by-step explanation:
Given the following data;
Number served by Luke = 4 slices
Number served by Kira = 6 slices
Number served by Ali = 8 slices
We would solve for the number of slices each of them divided their cakes into.
For Luke, serving 2/3;
\( \frac {4}{\frac{2}{3}} = \frac {4 * 3}{2} \)
\( \frac {4}{\frac{2}{3}} = \frac {12}{2} \)
\( \frac {4}{\frac{2}{3}} = 6 \; slices \)
For Kira, serving 2/3;
\( \frac {6}{\frac{2}{3}} = \frac {6 * 3}{2} \)
\( \frac {6}{\frac{2}{3}} = \frac {18}{2} \)
\( \frac {6}{\frac{2}{3}} = 9 \; slices \)
For Ali, serving 2/3;
\( \frac {8}{\frac{2}{3}} = \frac {8 * 3}{2} \)
\( \frac {8}{\frac{2}{3}} = \frac {24}{2} \)
\( \frac {8}{\frac{2}{3}} = 12 \; slices \)
Therefore, it is possible because;
A. Luke cut his cake into 6 slices.
B. Kira cut her cake into 9 slices.
C. Ali cut her cake into 12 slices.
Find the area between the curve f(x)=√x and g(x) = x³
The area between the curve f(x)=√x and g(x) = x³ is -5/12 square units.
The area between the curve f(x)=√x and g(x) = x³ is given by the definite integral as shown below:∫(0 to 1) [g(x) - f(x)] dx
To evaluate the definite integral, we need to calculate the indefinite integral of g(x) and f(x) respectively as follows:
Indefinite integral of g(x) = ∫x³ dx = (x⁴/4) + C
Indefinite integral of f(x) = ∫√x dx = (2/3)x^(3/2) + C
Where C is the constant of integration.
We can substitute the limits of integration in the expression of the definite integral to get the following result:
Area between the curves = ∫(0 to 1) [g(x) - f(x)] dx
= ∫(0 to 1) [x³ - √x] dx
= [(x⁴/4) - (2/3)x^(3/2)]
evaluated from 0 to 1= [(1/4) - (2/3)] - [(0/4) - (0/3)]= [(-5/12)] square units
Therefore, the area between the curve f(x)=√x and g(x) = x³ is equal to -5/12 square units.
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WILL GIVE BRAINLIST
WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”
THE PRODUCT OF 4 AND A NUMBER
Answer:
x+14.
Sum of a number and 14 is x+14.
Find the values of p for which the integral converges. (Enter your answer as an inequality.) 40 dx p<1 Evaluate the integral for those values of p. X Find the values of p for which the integral converges. (Enter your answer as an inequality.)
The values of p for which the integral converges is 40.
How to calculate the integralIt should be noted that an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. In this case, integration, is the process of computing an integral, is one of the two fundamental operation of calculus, the other being differentiation.
The value will be calculated thus:
Let p = 0
I = ∫(1, 0) 40dx
= 40
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what is the variable for -7.8 = 4.4 + 2r
Answer:
r = -6.1
Step-by-step explanation:
-7.8 = 4.4 + 2r
To get r, you need to isolate the variable
Subtract the 4.4 from both sides
-7.8 - 4.4 = 4.4 + 2r - 4.4
4.4 cancels out on the right
-12.2 = 2r
Divide both sides by 2
-12.2/2 = 2r/2
-6.1 = r
Please help asap!!!!!!!!
The y-coordinate for the solution to the system of equations is -3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.
Given system of equations are,
6x + 11y = -3
4x + y = 17
To solve these equations, we must first remove x or y terms.
To do this we must make the removing term's coefficients the same.
In this case, let's remove y.
We are multiplying the second equation by 11. Then,
6x + 11y = -3
44x + 11y = 187
Now we will subtract the second equation from the first.
- 38x = -190
x = 5
Now to find y, substitute x in any one of the equations.
6 * 5 + 11y = -3
11y = -33
y = -3
Hence the y-coordinate for the solution to the system of equations is -3.
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Given the ordered pair, (1,1/2) what is the constant of proportionality
The constant of proportionality is y divided x so in this case will be:
\(\frac{\frac{1}{2}}{1}=\frac{1}{2}\)What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?
o q≠1 and q≠−8
o q≠−1 and q≠8
o q≠−1 and q≠4
o q≠1 and q≠−4
The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)
The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:
q² + 3q - 4 = 0
Now, we can factorize the quadratic equation:
(q + 4)(q - 1) = 0
To find the values of q, we set each factor equal to zero and solve for q:
q + 4 = 0 or q - 1 = 0
Solving these equations, we get:
q = -4 or q = 1
So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.
Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.
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Complete Question:
What are the domain restrictions of q²−7q−8/q²+3q−4?
a) q≠1 and q≠−8
b) q≠−1 and q≠4
c) q≠1 and q≠−4
d) q≠−1 and q≠8
carl throws a single die twice in a row. for the first throw, carl rolled a 2; for the second throw he rolled a 4. what is the probability of rolling a 2 and then a 4? answer choices are in the form of a percentage, rounded to the nearest whole number.
To the nearest whole number, the probability of rolling a 2 and a 4 is 2.8%.
A 2 rolling up on the first throw has a 1/6 chance of happening. Given that a 2 was rolled on the first throw, the likelihood of rolling a 4 on the second throw is equally 1/6. We will have to multiply the probabilities to get the probability of both the events happening,
= (1/6)x(1/6)
= 1/36.
We get 2.8% after converting to a percentage and rounding to the next full amount. So, the chance of rolling a 2 and then a 4 is found to be 2.8% chance.
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s: Practice
Question 3 of 5
Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6.
The equation below represents the situation, where x is the cost of each friend's meal.
6 + az = 41
The cost of each friend's meal in terms of a is
The cost of each friend's meal when the number of friends is 5 is $
Submit
Reset
Answer:
$7
Step-by-step explanation:
You want to know the cost of each friend's meal if 5 friends spend $41 on their food, which includes a $6 delivery charge.
CostFor 'a' friends spending 'x' on each meal, the total cost is ...
6 + ax = 41
Solving for x, we have ...
ax = 41 -6 = 35
x = 35/a
5 FriendsWhen the number of friends is a = 5, the cost of a meal is ...
x = 35/5 = 7
The cost of each friend's mean when the number of friends is 5 is $7.
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A wooden fence 6 ft. high and 300 ft. long is to be painted. How many gallons of paint are needed if one gallon covers 400 sq. ft.?
Answer:
4.5 gallons of paint
Step-by-step explanation:
Solve the absolute value equation. ∣3r+2∣=∣6r−20∣ Find the sum of the solutions {16/3} {28/3} ∅ {22/3}
The solution of the given expression is r = 22/3 and r = 2
And sum of solution is 28/3.
The given expression is,
∣3r+2∣=∣6r−20∣
Set up the equation with two cases.
When 3r+2 is positive:
We have 3r+2=6r-20.
Solving for r, we get r=22/3
When 3r+2 is negative:
We have -(3r+2)=6r-20.
Solving for r, we get r=2
So we have two possible solutions: r=22/3 and r=2.
Now the sum of solutions is,
22/3 + 2
= 28/3
Hence the sum of the solutions is 28/3.
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For a one-tailed hypothesis test, the critical value is 2.485. What is your statistical decision if tSTAT = + 3.114?
A. Since the tSTAT value is greater than the critical value, do not reject H0
B. Since the tSTAT value is greater than the critical value, reject H0
C. Since the tSTAT value is less than the critical value, do not reject H0
D. Since the tSTAT value is less than the critical value, reject H0.
The correct option is (B) Since the tSTAT value is greater than the critical value, reject H0.
A one-tailed hypothesis test, critical value = 2.485, tSTAT = +3.114.
In a one-tailed hypothesis test, we have:
1. Null hypothesis H0: The population parameter is less/greater than or equal to a certain value.
2. Alternative hypothesis H1: The population parameter is greater than/less than a certain value.
We reject the null hypothesis if the test statistic tSTAT is greater than the critical value, otherwise we fail to reject the null hypothesis.
Here, tSTAT = +3.114 is greater than the critical value of 2.485. Therefore, our statistical decision is to reject the null hypothesis H0.
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y = 5x, what is the domain of this function?
Answer: The domain would be all real numbers.
Step-by-step explanation:
This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.
For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.
The snow is needed to build the whole snowman is 19 cubic foot. Hence option A is the correct option.
What is a sphere?
The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.
Given that the diameter of the bottom ball is 3 feet, the diameter of middle ball is 2 feet, and the diameter of the top ball 1.
The radius of a sphere is the half of its diameter.
The radius of the bottom ball is 3/2 feet =1.5 feet
The radius of the middle ball is 2/2 feet = 1 feet.
The radius of the top ball is 1/2 feet = 0.5 feet.
The volume of a sphere is 4/3 × ∏r³.
The volume of bottom ball is 4/3 × ∏ × (1.5)³ cubic foot.
The volume of middle ball is 4/3 × ∏ × (1)³ cubic foot.
The volume of middle ball is 4/3 × ∏ × (0.5)³ cubic foot.
The total amount of snow is
4/3 × ∏ × (1.5)³ + 4/3 × ∏ × (1)³ + 4/3 × ∏ × (0.5)³
= 4/3 × ∏ [1.5³ +1³ + 0.5³ ]
= 4/3 × ∏× 4.5
= 18.84
≈ 19 cubic foot
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