Answer:
5 and 5
Step-by-step explanation:
Since your shape is a square, ALL SIDES HAVE TO BE EQUAL. So 5x5 equals 25.
If the sum of the squares of two numbers is 50 and the product of the two numbers is 25, then the two numbers are 5 and -5.
Let's assume the two unknown numbers are "x" and "y". We are given two conditions:
The sum of the squares of the two numbers is 50:
This can be represented as an equation: x² + y² = 50.
The product of the two numbers is 25:
This can be represented as another equation: x * y = 25.
Now, we have a system of two equations with two variables (x and y). We can solve this system of equations to find the values of x and y. Let's use the substitution method to do this.
Step 1: Solve one equation for one variable in terms of the other variable.
From the equation x * y = 25, we can solve for y in terms of x:
y = 25 / x.
Step 2: Substitute the value of y in terms of x into the other equation.
Replace y in the equation x² + y² = 50 with 25 / x:
x² + (25 / x)² = 50.
Step 3: Simplify and solve the equation for x.
x² + 625 / x² = 50.
To eliminate the fraction, multiply both sides by x²:
x⁴ + 625 = 50 * x².
Rearrange the equation to bring all terms to one side:
x⁴ - 50 * x² + 625 = 0.
Step 4: Solve the quadratic equation for x.
This is a quadratic equation in terms of x². Let's substitute a new variable to simplify the equation. Let u = x². Now the equation becomes:
u² - 50 * u + 625 = 0.
This quadratic equation can be factored as:
(u - 25)² = 0.
Solving for u:
u = 25.
Step 5: Find the values of x and y.
Now that we know u = x² = 25, we can solve for x and y:
x² = 25,
x = ±√25,
x = ±5.
And since x * y = 25, when x = 5, y = 25 / 5 = 5.
When x = -5, y = 25 / -5 = -5.
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Find m< HIF
Show your work
Answer: m/HIF =110•
Step-by-step explanation:
The measure of angle HIF is 13.89°.
To find the measure of angle HIF (m∠ HIF), we need to use the fact that the sum of angles in a triangle is 180 degrees.
Let's denote the measure of angle JIF as y.
According to the given incorrect solution, we have:
m∠ JIF + m∠ IFJ + 90 = 180
But the sum of angles JIF and IFJ isn't necessarily 90 degrees unless we know more about the triangle or have additional information.
However, since we know that the sum of angles in triangle JIF is 180 degrees, we can use this to find the measure of angle HIF.
We have:
m∠ JIF + m∠ IFJ + m∠ HIF = 180
We know that m∠ JIF = 7x + 3 and m∠ IFJ = 2x + 6. Plugging these values in, we get:
(7x + 3) + (2x + 6) + 46 = 180
Combine like terms:
7x + 3 + 2x + 6 + 46 = 180
9x + 55 = 180
Subtract 55 from both sides:
9x = 125
Divide both sides by 9:
x = 125 / 9
Now, we can find the measure of angle HIF by substituting the value of x into the expression for m∠ HIF:
m∠HIF = 13.89°
The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =
____________________, ____________________, ______________________
Since the Australian Cockroach measures 3.586 centimeters, and the American Cockroach measures 3.576, we should pay attention to the numbers being told.
3.586 and 3.576 have 3 in their thousands.
3.586 and 3.576 also have 5 in their hundreds.
In the tens, the eight is larger than the seven.
3.586 > 3.576
(I hoped this helped!)
Determine the slope of the line below.
A. -3 B. 3 C. 1/3 D. -1/3
Write (p^3)^2 without exponents
Answer:
(p³)² is p⁶, which is p·p·p·p·p·p
Hope this helps!
(edit: nevermind, this was in April of 2020)
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the given expression (p³)² can be rewritten as,
(p³)²
= p⁶
= p × p × p × p × p × p
Hence, The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.
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Can someone help me please 100 Points!!
Answer: y=2x+13
Step-by-step explanation: So you need to find the equation y=mx+b
So to find slope (m) you need to do is rise over run. So your slope would be 2.
Now we need to find your y-intercept (b). Your y-intercept would be 13. so your equation for the line of best fit would be y=2x+13
I hope this helped.
What is the magnitude of the resultant vector a and b shown below?
Answer: SECOND OPTION.
Step-by-step explanation:
It is important to remember that, by definition, the "Resultant vector " is the vector obtained by adding two or more vectors.
For this exercise you need to use the formula for calculate the magnitude of the resultant vector obtained by adding the vectors "a" and "b" shown in the picture attached:
[tex]c=\sqrt{a^2+b^2}[/tex]
Where "c" is the magnitude of the resultant vector asked in the exercise.
You need to analyze the graph given in the exercise.
You can identify that:
[tex]a=4\\\\b=3[/tex]
Then the next step, knowing which are "a" and "b", is to substitute values into the formula given at the beginning of this explanation, as following:
[tex]c=\sqrt{4^2+3^2}[/tex]
Finally, evaluating, you get that "c" is:
[tex]c=\sqrt{16+9}\\\\c=5[/tex]
The magnitude of the resultant vector a and b is 5.
Explanation:The magnitude of the resultant vector a and b can be found using the Pythagorean theorem.
The Pythagorean theorem states that the magnitude of the resultant vector is equal to the square root of the sum of the squares of its individual vector components.
Let's assume vector a has a magnitude of 3 and vector b has a magnitude of 4. First, we square the magnitude of each vector: a^2 = 3^2 = 9 and b^2 = 4^2 = 16.
Then, we sum the squared magnitudes: a^2 + b^2 = 9 + 16 = 25. Finally, we take the square root of the sum: magnitude of the resultant vector = sqrt(25) = 5. So, the magnitude of the resultant vector a and b is 5.
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What is the maximum height the cricket reaches? Round to the nearest thousandth.
Answer:
3.063
Step-by-step explanation:
Answer: 3.063
Step-by-step explanation:
Art and PE
--------- Art No Art Total
PE A B C
No PE D E F
Total G H J
300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?
A) 50
B) 75
C) 100
D) 125
Answer:
A) 50
Step-by-step explanation:
D: Art & No PE
Art - Art&PE
300 - 250
50
Answer:
Answer is 50
Step-by-step explanation:
I just did the test on usatestprep
i need help with this question asap pleaseeeeee
Answer:
y = 3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )
y² = 63 ( take the square root of both sides )
y = [tex]\sqrt{63}[/tex] = [tex]\sqrt{9(7)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{7}[/tex] = 3[tex]\sqrt{7}[/tex]
oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many miles would he ride all together?
Answer:
36 miles
Step-by-step explanation:
(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)
The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5. [tex]3^{2} + 4^{2} = 5^{2}[/tex]
9 is 3x3, 12 is 3x4 so the remaining side would be 3x5 15
Add those 3 sides to get the total distance, 36 miles.
Answer:
36
Step-by-step explanation:
PLEASE HELP!!!!!!
Look at the figure. Find the value of x.
A.) 90
B.) 30
C.) 15
D.) 45
Thomas wants To find out which sport the entire 8th grade cloth on his school likes best
Answer:
Ok what are his options?
Step-by-step explanation:
Answer:
Ping Pong
Step-by-step explanation:
dunno
Please help ASAP 15 points
Answer:
k= 35 degrees do the very bottom
Step-by-step explanation:
55 + 35 = 90
Please help me with #2.
Answer:
320 meters
Step-by-step explanation:
(20*8*6)/3
Answer:
320 cubic meters.
Step-by-step explanation:
Volume = LxW/ h/3.
--> 20x8/6/3 = 320.
what is the vertex of the graph of y=2(x-2)2+4
Answer:
The vertex is at (2,4)
Step-by-step explanation:
The parabola is given in the form
y = a(x-h)^2 +k
where (h,k) is the vertex
y=2(x-2)^2+4
The vertex is at (2,4)
Answer: (2,4)
Step-by-step explanation:
I promise you
What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
r=1
Answer:
The area is 3.14
Step-by-step explanation:
Get the radius and times it by itself then multiply it by pie and you get 3.14
Which of the following expressions are equivalent to
-(8/3)
Choose all answers that apply: A) 8/-3 B) - 8/-3 C)
None of the above
Answer:
A
Step-by-step explanation:
To determine which expressions are equivalent to -(8 divided by 3), let's perform the calculation first. Therefore the correct option is A
The division of 8 by 3 can be written as 8/3, which equals to 2.6666 (rounded to four decimal places). When we apply the negative sign to this result, we get -(2.6666) or -2.6666. Now, let's consider the given answer choices: A) 8 divided by -3: This expression corresponds to 8/(-3), which equals to -2.6666. Since this matches the calculated value of -2.6666, option A is equivalent.
B) -8 divided by -3: This expression translates to [tex](-8)/(-3),[/tex] which simplifies to 2.6666. As this value does not match the calculated result of -2.6666, option B is not equivalent. Therefore, by comparing the results, we can conclude that option A (8 / -3) is equivalent to -(8 / 3), while option B (-8 / -3) is not. To summarize, the expression -(8 /3) can be represented as 8 by -3 (option A). Option B (-8 / -3) is not equivalent.
Thus, the correct answer is A) 8 /-3.
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what is a number that when you multiply it by 4 and add 15 to the product you get 28? show your work please
Answer:2
Step-by-step explanation:
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Answer:
The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?
The correct answer is:
The difference is about [tex]\frac{1}{2}[/tex] times the range of the data shown for Johnstown,and about [tex]\frac{3}{8}[/tex] times the range of data for Martinville. (D)
Step-by-step explanation:
From the box plot, it is seen that the following data can be gotten:
Cities Range Midian (mid-point)
Johnston 140 - 80 = 60 110
Martinville 120 - 40 = 80 80
Difference in medians = 110 - 80 = 30
now comparing the difference between the median and the ranges of each city, we observe that:
range for Johnston = 60 ; median difference = 30
hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2
hence difference of medians is [tex]\frac{1}{2}[/tex] times the range of Johnston.
Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8
hence the difference of medians is [tex]\frac{3}{8}[/tex] times the range of Martinville.
Answer: The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?
The correct answer is:
The difference is about times the range of the data shown for Johnstown,and about times the range of data for Martinville. (D)
Step-by-step explanation:
From the box plot, it is seen that the following data can be gotten:
Cities Range Midian (mid-point)
Johnston 140 - 80 = 60 110
Martinville 120 - 40 = 80 80
Difference in medians = 110 - 80 = 30
now comparing the difference between the median and the ranges of each city, we observe that:
range for Johnston = 60 ; median difference = 30
hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2
hence difference of medians is times the range of Johnston.
Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8
hence the difference of medians is times the range of Martinville.
Step-by-step explanation:
Which sphere has a volume of 0.288Pi in.3?
A sphere with radius 0.4 inches.
A sphere with radius 0.5 inches.
A sphere with radius 0.6 inches.
A sphere with radius 0.7 inches.
Answer:
Step-by-step explanation:
Answer in the photo
A sphere that has a volume 0.288π inches cube has a radius of 0.6 inches
Volume of a sphere
The volume of a sphere is described as follows:
volume of sphere = 4 / 3 πr³
where
r = radius of the sphereTherefore,
volume = 0.288π inches cube
Hence, the radius can be calculated as follows;
0.288π = 4 / 3 πr³
divide both side by π
0.288 = 4 / 3r³
cross multiply
0.288 × 3 = 4r³
0.864 = 4r³
divide both sides by 4
r³ = 0.864 / 4
r = ∛0.216
r = 0.6 inches
Therefore, a sphere that has a volume 0.288π inches cube has a radius of 0.6 inches
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Can someone help me out
Answer:
m= -5/8
Step-by-step explanation:
Slope of a line containing the points,
[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]
where, m is the slope
Here,
[tex]m = \frac{7 - 2}{4 - 12} = \frac{ 5}{ - 8} = \frac{ - 5}{8} [/tex]
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?
Answer:
26 miles farther from her trainer
Step-by-step explanation:
She starts her journey at health club,
Ran 24 miles south and then 10 miles west.
The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.
X² = y² + z²
X = her end point
Z = distance between health club 24 miles south. = 24miles
Y = 10 miles distance from the 24 miles south. = 10 miles.
(See attachment for better illustration.)
X² = 24² + 10²
X² = 576 + 100
X² = 676
X = √(676)
X = 26 miles
Jane was 26 miles farther from her trainer
Jay is making a documentary on the opinions of Cortland residents toward a
local sports team. If he talks to 8 people, and each interview lasts 3 minutes,
how long will the film be?
Answer:
24 minutes.
Step-by-step explanation:
8 people x 3 minutes of interview = 24 minutes of interview time.
Answer:
f=8*3.
Step-by-step explanation:
Complete the recursive formula of the geometric sequence −0.6,3,−15,75,...
Answer:
[tex] - 0.6 - 3 - 15.75 = .9[/tex]
Answer:
-5
Step-by-step explanation:
khan academy
first is −0.6
then -5 because x each one by -5
pls help me give u a brainlest
Answer:
uhmm. lemme remember how to do that
Answer:
30 in
Step-by-step explanation:
V=Bh
Find the area of the triangle then multiply it by the height of the prism.
Which is the same as 7/3?
Answer:
Its D.
Step-by-step explanation:
7 is being divided from 3.
Answer: 7 divided by 3
Step-by-step explanation: 7/3 = 2.3 and so does 7 divided by 3.
What is the volume of the right rectangular prism with a length of 2 millimeters, a width of 4 millimeters, and a height of 8 millimeters?
Answer:
8
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
2 times 4 times 8 = 64
What is the unit rate for sukis scrumptious sushi?
A. $4.50 for 1 sushi roll
B. $9.00 for 1 sushi roll
C. $9.00 for 2 sushi rolls
D. $2.00 for 9 sushi rolls
Help ASAP please ! Explain too
Answer:
r=4
Step-by-step explanation:
you basically have to create a proportion. .5/12 = x/96. then u cross multiply
You randomly draw a marble out of a bag that contains 20 total marbles. 12
What is P (draw a blue marble)?
If necessary, round your answer to 2 decimal places.
Answer:
The probability of drawing a blue marble is 1 IN 4
Step-by-step explanation: