Hello! To draw a triangle, first, we have to follow a condition of existence.
This rule is:
• one of the sides must be ,bigger, ,than the absolute value, of the ,difference between the other two, sides
• the unknown side must be ,smaller ,than the ,sum of the other, two sides.
Let's write these rules using a, b, and c for the sides:
Considering a = 7.8 and b = 5.6:
\(\begin{gathered} |a-b|So, the third side must be smaller than 13.4 and bigger than 2.2.Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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If John invests the $1,000 he receives today at an interest rate of 4.8% compounded monthly, in one year the investment will be worth how much?
When John receives $1,000 a year from now, the $1,000 he invested today will be worth how much more than the $1,000 he receives in the future?
Find ef if e (1,-2) and f (7,6)
ASAP PLEASE
Which point us the coordinate of the image of A under the transformation [0 1 1 0]
(-2,4)
(2,4)
(4,2)
(-4,-2)
Answer:
Step-by-step explanation:
(4, 2)
will you brainlyest?
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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Whats the value of 5/12 / 1 7/8? Please answer fast!
Answer:
i believe its 0.22222222222 im sorry if its incorrect qwq
Step-by-step explanation:
Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
Someone please help me with this ASAP
Answer:
lol no thanks for the points
Step-by-step explanation:
dwadawdwadawdssadws
PLEASE ANSWER AND will report if your answer is wrong/incorrect
Help meeeeeeeeeeeeee
Answer:
84
Step-by-step explanation:
there will be a total of five test scores so we know it will be divided by five.
to get an average score of 80 we can multiply 5*80 to get 400 all the other numbers must equal 400 added up so 400-(78+80+74+84)=x
400-316=x
84=x
Answer:
you would have to score another 84%
First you want to find the sum of all the scores. add them all together and divide by the number of different scores. so this would be 400/5= 80
Can anyone help with this?
Answer:
AD = 15
Step-by-step explanation:
Based on the Pythagoras Theorem, the longest side of a right-angled triangle is: \(\sqrt{a^{2}+b^{2}}\) where a and b are the legs of the triangle.
In triangle BDC, we can put in the formula to find BD.
85 = \(\sqrt{77^{2}+BD^{2}}\)
85² = 77² + BD²
7225 = 5929 + BD²
BD² = 7225 - 5929
= 1296
BD = \(\sqrt{1296}\)
BD = 36
In triangle ABD, we can put in the formula to find AD.
39 = \(\sqrt{36^{2}+AD^{2}}\)
39² = 36² + AD²
1521 = 1296 + AD²
AD² = 1521 - 1296
= 225
AD = \(\sqrt{225}\)
AD = 15
100 POINTS
Find the error(s) and solve the
problem correctly in the picture below
Change the third line only .
<TFS\(\cong \)<PFQReason--(Opposite angles are same )Amd at 4th line
\(\\ \tt\Rrightarrow ∆TFS\cong∆PFQ(ASA)\)
ProvedThe slope is m=2...y-intercept, b=5.
What would be the equation?
We saw that about 34% of
all students received at least one referral. Suppose we have concerns about the number of
disciplines in one particular school - it seems very high, and we've had concerns from parents at the school. In one particular year, 162 out of the 340 students at that school had a referral.
a. If we selected a random sample of 340 students, would the sample proportion that are
disciplined be approximately normally distributed? Why or why not?
b.
Use the normal distribution to find the probability of randomly selecting a sample of 340
students and finding that 162 of them or more have received a referral during that
particular year.
C. Would we think that is unusual? Explain your reasoning.
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
what is probability ?It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.
given
The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.
Calculating the sample proportion is necessary:
The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:
P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031
Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:
\(z = (0.476 - 0.34) / 0.031 = 4.39\)
The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.
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The ratio of parrots to cats in the pet store is 5 to 20. If there are 4 parrots
how many cats are there?
A. 16
B. 1
C. 20
D. 25
Answer:
A. 16
Step-by-step explanation:
please anybody solve this problem step by step as soon as possible
Answer:
39 pages
Step-by-step explanation:
If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
On Monday, Kelsey rode 4 miles on a bike. On Tuesday, she
rode 4 times more than she did Monday. On Wednesday, she
rode an additional 5 miles.
How many miles has Kelsey ridden so far this week?
Answer:
25 Miles
Step-by-step explanation:
X is = to 4 miles
Monday X=4 miles
Tuesday 4x=16 miles
Wednesday 5 miles
4+16+5=25
what's the fourth proportional of 0.2, 0.5, 6
Answer:
15
Step-by-step explanation:
a:b::c:d
a/b=c/d .......(eq 1)
let a=0.2, b=0.5, c=6, d=x
Not put values in eq 1
0.2/0.5 = 6/a
By cross multiplication we get:
0.2xa = 6x0.5
0.2a = 3
Dividing by 0.2 on both sides we get
0.2a/0.2 = 3/0.2
a = 15
Therefore The fourth proportional is 15
Given the piecewise function below, which equation represents piece "B"?
Answer:
y=1
Step-by-step explanation:
x is 0 so there is no point putting that in in the equation y=mx+b you do have the b which is 1 so that is your equation
The figure shows a two-dimensional
representation of a bird made out of
origami paper. Find m/1 and m/2.
Explain your reasoning.
(3x + 5)°
(4x-30)
In the given origami of the two dimensional figure , the value of angle 2 is 70° and the value of angle 1 is 110 °
Parallel lines are straight lines that do not intersect at any point in geometry.
Parallel planes are three-dimensional pathways that never intersect. Parallel curves do not touch or intersect and have a fixed minimum distance.
From the figure we can see that m∠1 = 4x-30 as they are vertically opposite angles.
Again m∠1 = 3x+5 as they are corresponding angles from the pair of parallel lines.
now let us solve the linear equation to calculate the value of x.
3x+5 = 4x-30
or, -x = -35
or, x = 35
Now
m∠1 = 3x+5 = 110
Therefore m∠2 = 180 -110 = 70 ( straight angle formed whose sum is 180)
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Hhhhhhheeeellllpppppp asap
Answer:
Number 1 is 50 and Number 2 is 40
Step-by-step explanation:
25 X 2 = 50
2 X 20 = 40
50 Points! Multiple choice algebra question. Photo attached. Thank you!
It would take 21 weeks for the population to surpass 16,000.
The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.
For the population to surpass 16,000, we can set up the following equation:
15,000 + 2500 sin(πt/52) = 16,000
Subtracting 15,000 from both sides, we get:
2500 sin(πt/52) = 1000
Dividing both sides by 2500, we get:
sin(πt/52) = 0.4
We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:
πt/52 = sin⁻¹(0.4)
Multiplying both sides by 52/π, we get:
t = (52/π) sin⁻¹(0.4)
Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.
t = (52/π) (0.4115)
t = 21.02
Therefore, it would take 21 weeks for the population to surpass 16,000.
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A plane flying with a constant speed of 360 km/h passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30°. At what rate (in km/h) is the distance from the plane to the radar station increasing a minute later? (Round your answer to the nearest whole number.)
The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).
To solve this problem, we can use the concepts of trigonometry and related rates.
Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.
Given:
The plane is flying with a constant speed of 360 km/h.
The plane passes over the radar station at an altitude of 1 km.
The plane is climbing at an angle of 30°.
We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.
We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:
sin(30°) = 1/D.
To find dD/dt, we can differentiate both sides of this equation with respect to time:
cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.
Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:
cos(30°) * 0 = -1/D^2 * dD/dt.
We can substitute the known values:
cos(30°) = √3/2,
D = 1 km.
Therefore, we have:
√3/2 * 0 = -1/(1^2) * dD/dt.
Simplifying further:
0 = -1 * dD/dt.
This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.
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This is urgent 1. In a picture, there are 40 monkeys, and 60% of the monkeys are in the trees.
How many monkeys are in the trees? Use a 10-squares model to explain your answer.
please answer
Answer:
30 Monkeys 50 trees
explanation:
Your welcome
The number of monkeys in the trees is 24.
What are percentages?Percentage is the fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.
The number of monkeys in the trees = 60% x 40
= 0.6 x 40 = 24
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I can’t figure out the next smallest non negative solution. Can you please help me?
Let w = cos(x)
The given equation turns into -5w^2 + 4w + 1 = 0. Use the quadratic formula to find that the two solutions, in terms of w, are:
w = -1/5 = -0.2w = 1The solution w = 1 leads to cos(x) = 1 which then becomes x = 0, x = 2pi, x = 4pi, etc. The general way to write this is x = 2pi*n where n is any integer. These angles are in radian mode.
The solution w = -0.2 leads to cos(x) = -0.2 which becomes x = arccos(-0.2) = 1.77215 approximately assuming your teacher wants the angle in radian mode. Unfortunately, I don't know the exact value of x here. There may not be an exact value, or finding this exact value may be well beyond the scope of this course.
(section 7.3, problem 20) use the open space to show all of your work. this includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s) and evaluating them. place your numerical answer for the area of the region in the box. leave your answer in exact form
The solution of the expression is x=0 and it is the only solution that is an integer.
An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.
To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.
Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:
=> x=5x−x³
Expanding this equation, we get
=> 4x³+x=0.
Factoring this equation, we get
=> x(4x²+1)=0.
This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.
Complete Question:
Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.
y = x,
y = 5x−x³
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What is the length of EF?
A) 2.4
B) 3.8
C) 0.5
D) 1.2
Answer: 2.4
Step-by-step explanation: Given the angles below, the length of EF will be 2.4
Answer:
B) 3.8.
EF = 3.8
Use the law of sines to find the unknown length EF
Which equation represents a line that has a slope of One-third and passes through point (–2, 1)?
Answer:
y=1/3x+5/3
Step-by-step explanation:
y=1/3x+b
1=1/3(-2)+b (plug in ya points)
1=-2/3+b
5/3=b
y=1/3x+5/3
Answer:
the answer is y=1/3x+5/3
Step-by-step explanation:
hope this helps
did it on edge
Which of the following describes a correct method for solving the equation below?
−7/2n + 5 = −16