Answer:
2nd one is correct.....
What conjecture can you make about the tangent of complementary angles?
Answer:
Step-by-step explanation:
If the sum of two angles is one right angle or 90°, then one angle is said to be complementary of the other. Thus, 25° and 65°; θ° and (90 - θ)° are complementary to each other.
Suppose a rotating line rotates about O in the anti-clockwise sense and starting from its initial position
1. When oil was spilled out in the middle of a lake, it spread out on the surface of the water in a circular pattern. The radius of the circular pattern increased at a rate of 4 feet per minute. ((() = 4tft/min)
A. [3 pts) How fast was the area of the circular pattern increasing per minute? Construct the composite function to show how the area was increasing each minute. ( A() = ft/min).
The rate of change of the area as a function of time is:
A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)
How to get the rate at which the area increases?
Remember that for a circle of radius R, the area is:
A = 3.14*R^2
Now, if the radius increases at a rate of 4 ft/min, then we can rewrite R as:
R(t) = R₀ + 4ft/min*t
Where t is the time in minutes, and R₀ is the initial radius.
So the area function is:
A(t) = 3.14*(R₀ + 4ft/min*t)^2
The rate of change is given by the differentiation with respect to t, it is:
A'(t) = 2*3.14*(R₀ + 4ft/min*t)*(4ft/min)
A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)
The rate at which the area increases, as a function of time, is given by:
A'(t) = 6.28*(R₀ + 4ft/min*t)*(4ft/min)
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According to information from a college admissions office, 62% of the students there attended public high schools, 26% attended private high schools, 2% were home schooled, and the remaining students attended schools in other countries. Among this college's Honors Graduates last year there were 47 who came from public schools, 29 from private schools, 4 who had been home schooled, and 4 students from abroad. Is there any evidence that one type of high school might better equip students to attain high academic honors at this college
The p-value shows that onea type of high school might not be better equip students to attain high academic honors at this college.
What is a p-value?A p-value simply means a statistical measurement that is used to validate a hypothesis against the observed data.
Here, from the table, the p-value is 0.0393. Since the p-value is less than the level of significance which is 0.05, we are going to reject the null hypothesis.
It simply means that the observed values don't support the proportion given. Here, the p-value shows that one type of high school might not be better equip students to attain high academic honors at this college.
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Which of the following correlation coefficients represents the weakest correlation?
A. 0.3
B.-0.1
C.0.4
D.-0.9
i barely remember 7th grade stuff :')))
i am practicing for the TSI so please explain! <3 TY!
The correlation coefficient that represents the weakest correlation amongst the given options is -0.1.
What is correlation?Correlation is a statistical measure used to measure the relationship that exists between two variables. A value of one represents a perfect correlation. A value of zero signfies that the variables have no relationship.
So, the correlation coeffieicent with a value closest to zero would have the weakest correlation.
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What is the equation of the line that passes through the point (-5,4)
and has a slope of 3/5?
Answer:
y=3/5x-7
Step-by-step explanation:
hope this helps
The scatter plot below shows the cost (y) of long distance phone call based on the number of minutes (x) the calls take. Part A. Draw a line of best fit on the scatter plot
Part B write the approximate equation of the line of best fit
It should be in slope intercept form.
Part C. Use your equation from part B to predict the cost of a long distance call that lasts 120 minutes. Be sure to show your work
Part D. Explain how you found your answer to Part C.
The scatter plot that shows the cost of long distance phone call is an illustration of a linear regression
Part A: Draw a line of best fitSee attachment for the line of best fit
Part B: The equation in slope intercept formFrom the attached graph, the line passes through the points:
(x,y) = (0,0) and (40,4)
The equation is then calculated using:
y = y2/y1 * x
This gives
y = 4/40 * x
Evaluate
y = 0.1x
Part C: Predict the cost of long distance call of 120 minutesThis means that x = 120
So, we have:
y = 0.1 * 120
y = 12
Hence, the predicted cost of long distance call of 120 minutes is $12
Part D: Explanation of CThe answer in part C is calculated by substituting 120 for x in the equation of the line of best fit
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help me please please
Answer:
C'(-3, -3)
D'(-2, 1)
E'(-1, 0)
F'(0, -2)
Step-by-step explanation:
Remember that coordinates are written in the format (x, y).
To solve this problem, add 2 to x and subtract 2 from y for each coordinate. Going down the list and applying this to all of them, you get:
C = (-5, -1) -> (-3, -3)
D = (-4, 3) -> (-2, 1)
E = (-3, 2) -> (-1, 0)
F = (-2, 0) -> (0, -2)
A box contains 20 balls, of which are white. If the probability of selecting a non-white
ball at random is 3/5
. Find the value of x
Answer:
if a box contains 20 balls in which all are white then the probability of selecting non white is 0
A serving of rice is 2/3 of a cup. How many servings are there in a 2 2/3-cup bag of rice?
Answer:
4 servings
Step-by-step explanation:
You do 2 2/3 divided by 2/3. First you change 2 2/3 to 8/3. Now, you change 2/3 to it's reciprocal; 3/2. Now you change division to multiplication and find your equation; 8/3 x 3/2. You cancel out both the threes, and find 8/2, or simplified, 4.
Answer:
4 servings
write 2/3x4, put 1 under 4
2x4=8
3x1=3
8/3
8/3 simplified is 2 2/3
Step-by-step explanation:
Two opposite numbers are 18 units away from each other. What are the numbers?
Answer:
-4 and 4
Step-by-step explanation:
You count between the zeros as when you jump on a number line or just don't count the zero
-4, -3, -2 ,-1, 0, 1, 2 ,3, 4
Hope this helps
The two numbers are -9 & 9
What is the number line?In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers. Every point of a number line is assumed to correspond to a real number, and every real number to a point.
Given here: Two opposite numbers who have a difference of 18
Thus the two numbers must be 9 units from either side of the origin.
Therefore the only possible number is -9 & 9
Hence, The two numbers are -9 & 9
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answer the question below
Answer:
the answer is c sir
pls brainly me
thx and im blessed to
answer this thx you
Find the area of a regular pentagon with a radius of 9 yds. show all six steps.
Answer:
192.6 square yards
Step-by-step explanation:
The area of a regular pentagon can be found using the formula for any regular polygon.
A = (n/2)r²·sin(360°/n) . . . . radius r, n sides
For a pentagon, the number of sides is 5, so this becomes ...
A = 2.5r²·sin(72°)
__
Using the given value of radius, the area is ...
A = 2.5(9 yd)²·sin(72°) = 2.5 · 81 · 0.951057 yd²
A ≈ 202.5 · 0.951057 yd²
A ≈ 192.589 yd²
The area of the pentagon is about 192.6 square yards.
_____
Additional comment
We're not sure what "six steps" you're supposed to follow. The necessary steps appear to be ...
determine an appropriate area formula for the given informationevaluate the formula for the given dimensionsHere, the formula for a pentagon can be simplified somewhat by precomputing the value of 2.5×sin(72°) ≈ 2.37764129074. Then the formula for the area is ...
A = 2.37764129074·r² . . . . . area of regular pentagon with radius r
find the greatest common factor of 54 and 72. use a model to justify your answer
What primarily drew early civilizations to the places they first populated?
A. Religious freedom
B. Governmental policies
C. Economic development
D. Physical geography
Which summation formula represents the series below?
5 + 7 + 9 + 11
Answer:
Value = 5 + 2n, where in is the sequence number, starting with n = 0.
Step-by-step explanation:
The sequence is predicted by adding 2 for each step. The formula for the number at point n is given by 5+2n, starting with n = 0:
n Value
0 5
1 7
2 9
3 11
4 13
5 15
6 17
7 19
8 21
9 23
10 25
1.
Find m∠B, rounded to the nearest degree.
a.53°
b.35°
c.44°
d.65°
Answer:
53°
Step-by-step explanation:
Hypotenuse is the longest side and it is opposite to angle 90°
[tex]\sf Sin \ B = \dfrac{Opposite \ side \ of \ angle \ B}{hypotenuse}\\\\[/tex]
[tex]= \dfrac{4}{5}\\\\=0.8[/tex]
[tex]B = Sin^{-1} \ (0.8)\\[/tex]
B = 53°
Alice is making a necklace. She has a chain that is 400 mm long. She puts forty 1.7 mm beads, twenty-seven 6.5 mm beads, and eight 3.4 mm beads on the chain. How much of the 400 mm chain is left without bead?
Answer:
129.3mm chain left without beads
Step-by-step explanation:
Equation:
400mm long chain - [(40 x 1.7mm) + (27 x 6.5mm) + (8 x 3.4mm)]
= chain left without beads
Calculation:
40 beads x 1.7mm = 68mm
27 beads x 6.5mm = 175.5mm
8 beads x 3.4mm = 27.2mm
(68mm + 175.5 mm + 27.2mm) = 270.7mm chain with beads
400mm chain - 270.7mm chain with beads
= 129.3mm chain left without beads
i need help please
find the 7th term
3, 1,1/3
The sequence 3, 1,1/3 is a geometric sequence
The 7th term of the sequence is 1/243
How to determine the 7th term?The sequence is given as:
3, 1,1/3
The above sequence is a geometric sequence with the following parameters:
First term, a= 3Common ratio, r = 1/3The nth term is then calculated as:
Tn = ar^(n-1)
So, the 7th term is:
T7 = ar^6
Substitute known values
T7 = 3 * (1/3)^6
This gives
T7 = 1/3^5
Evaluate
T7 = 1/243
Hence, the 7th term of the sequence is 1/243
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Determine the finance charge on an $8,000 loan with a monthly payment of $162.80 for 60 months. a. $29.47 b. $162.80 c. $1,768.00 d. $9,768.00 please select the best answer from the choices provided a b c d
Answer:
C. 1,768
Step-by-step explanation:
162.8 times 60 equals 9,768
9,768 minus 1,768 is 8000
The diagram shown is two intersecting lines. The measure of 5 is 47°.
Please solve this on paper! I'll give brainliest to the best explanation. Thank you so much <3
Answer:
The measure of angle 7 is 47°
The value of x = 69
Step-by-step explanation:
(a) The measure of angle 7 is also 47° { therefore angle 5 angle 7 are vertically opposite angles so they are equal }
(b) if the angle 6 is represented by (2x-5) so the equation will be (2x-5) + angle 5 = 180° { linear pair}
(c)
=> 2x-5+47 = 180
=> 2x + 42 = 180
=> 2x = 180 -42
=> 2x = 138
=> x = 138/2
=> x = 69
Answer:
See below ↓↓↓
Step-by-step explanation:
(a) ∠7 = ∠5 (vertically opposite angles)
∠7 = 47°It is equal to 47 degrees, because the when a transversal cuts through a straight line, the angles which lay opposite to each other are equal(b) ∠5 and ∠6 form a line, so their sum is equal to 180°, which is the angle of a straight line. Therefore, our equation :
47 + 2x - 5 = 180(c) Solving for x :
2x + 42 = 1802x = 138x = 69°The answer to (-2)+(-5) will be
positive or negative
Answer:
negative
Step-by-step explanation:
The sum of negative numbers is always negative.
Two people are trying to raise an object from a hole using two ropes, as shown in the diagram below. Person 1 exerts a force of
355 N and Person 2 exerts a force of 425 N.
What is the magnitude of the combined force applied by both people?
Answer:
554 N
Step-by-step explanation:
We're looking for the magnitude of the force - angles don't matter.
We need to resolve the two forces.
As you can see in the attached drawing, this basically just becomes Pythagoras.
[tex] {f}^{2} = {355}^{2} + {425}^{2}[/tex]
[tex]f = \sqrt{ {355}^{2} + {425}^{2} } [/tex]
[tex]f = 553.76[/tex]
Patrick has assets that total $9,500. his liabilities total $1,900. which expression will find patrick’s net worth? 9,500 dollars divided by 1,900 dollars 1,900 dollars minus 9,500 dollars 1,900 dollars minus 9,500 dollars 9,500 dollars minus 1,900 dollars
An expression has numbers, variables, and mathematical operations. Patrick's net worth is represented by the expression $9,500-$1,900.
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.
As it is given that the value of the assets with Patrick is $9,500, while the liabilities are $1,900. Thus, his net worth will be the difference between his assets and his liabilities.
Thus, Patrick's net worth of Patrick can be written as,
[tex]\rm Net\ worth = Assets-Liabilities[/tex]
[tex]= \$9,500-\$1,900[/tex]
Thus, Patrick's net worth is represented by the expression $9,500-$1,900.
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Find the circumference of the circle.
113.04 feet
18.84 feet
d = 6 ft.
28.26 feet
37.68 feet
9.42 feet
male the question little more clear
What is the following sum4/5+2/5
Answer:
6/5 or 1 1/5
Edit:
soo
[tex]4\sqrt{5} + 2\sqrt{5}[/tex] = [tex]6\sqrt{5}[/tex]
since they both are being multipled to the square root of 5, you can just add them (i think)
Step-by-step explanation:
6 times the square root of 5
you add 4 and 2
Helpppppp plssss!!!!!!
Incorrect:
A-Reflection across line AC
B-Reflection across line BD
C-vertical translation
Correct:
D-Rotation about the center of the square
Thank you so much Please consider brainliest! <3
Which are perfect square trinomials? select two options. x2 − 9 x2 −100 x2 − 4x 4 x2 10x 25 x2 15x 36
The two perfect square trinomial perfect are x^2 − 4x + 4 and x^2 + 10x + 25.
What are trinomials?A mathematical expression with three terms or three monomials is called a trinomial.
Polynomials having only three terms are known as trinomials.
A perfect square trinomial is an algebraic expression that takes the form
ax^2 + bx + c,
A perfect square trinomial is gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).
Therefore, the two perfect square trinomial perfect are x^2 − 4x + 4 and
x^2 + 10x + 25.
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Answer: Options C and D are correct
Step-by-step explanation: i took the test
Activity 1
Use ∆XYZ to find each trigonometric ratios.
Answer:
1. Cos X =
2. Sin X = 3/5
3. Cos Y = 4/5
4. Sin Y = 3/5
5. Sec Y = 5/4
6. CSC X = 5/3
Step-by-step explanation:
(XY)² = (YZ)² + (XZ)²
=> (XY) ² = 3² +4²
=> (XY) ² = 9 + 16
=> (XY) ² = 25
=> (XY) = √25
=> (XY) = 5
If you help me ill give you brainliest!
Please help !!!! Only answer if you know!
Answer:
width is 5, length is 8
Answer: the person ab0ve me ISDBig. BrainnnN
Step-by-step explanation: