Answer:
⚪ 4: three right triangles and one acute-angled triangle.
Step-by-step explanation:
\(.\)
1. Two of the radii for the circumscribed circle below have the expression 3x-2 and 4x -8. What is the length of the radius of the circle?
9514 1404 393
Answer:
16
Step-by-step explanation:
Radii of the same circle are the same, so we have ...
3x -2 = 4x -8
6 = x . . . . . add 8-3x
3x -2 = 3(6) -2 = 16 . . . . the radius of the circle
You measure 32 textbooks' weights, and find they have a mean weight of 55 ounces. Assume the population standard deviation is 11.4 ounces. Based on this, construct a 99.5% confidence interval for the true population mean textbook weight.
Sure! Here's the 99.5% confidence interval for the true population mean textbook weight: (49.433, 60.567) ounces.
To construct a confidence interval for the true population mean textbook weight, we can use the formula:
Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √(sample size))
Given the information provided:
- Sample mean = 55 ounces
- Population standard deviation = 11.4 ounces
- Sample size = 32 textbooks
First, we need to find the critical value corresponding to a 99.5% confidence level. Since the sample size is relatively small (32 textbooks), we can use a t-distribution instead of a normal distribution.
The degrees of freedom for a t-distribution are given by (sample size - 1). In this case, the degrees of freedom will be (32 - 1) = 31.
Using a t-table or a statistical calculator, we find the critical value for a 99.5% confidence level and 31 degrees of freedom is approximately 2.750.
Now, we can calculate the confidence interval:
Confidence Interval = 55 ± 2.750 * (11.4 / √32)
Confidence Interval = 55 ± 2.750 * (11.4 / 5.657)
Confidence Interval = 55 ± 5.567
Therefore, the 99.5% confidence interval for the true population mean textbook weight is approximately (49.433, 60.567) ounces.
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12x - 5 - 7x - 2 solution
Answer:
The simplified form is 5x-7 since there's no equals sign.
Step-by-step explanation:
12x-5-7x-2
Then, I combined like variables and got 5x-7.
how to find the sequence
X. Y
0. 0
1. 1.5
2. 4
3. 7.5
4. 12
Answer:
they add one half to each number
With regard to igneous rock formation, what does the stove represent? what does the sugar represent?
In the context of igneous rock formation, the stove represents the Earth's interior where molten rock, or magma, is formed. The sugar represents the minerals or elements that make up the magma and later crystallize to form igneous rocks.
The formation of igneous rocks begins deep within the Earth's interior, where extremely high temperatures and pressure cause rocks to melt and form molten rock called magma. This process is analogous to a stove, which generates heat to melt solid substances. The stove represents the Earth's interior as the source of the molten rock, where the conditions necessary for rock melting and magma formation occur.
Once the magma is formed, it contains various minerals and elements in a molten state. These minerals and elements can be compared to sugar, which dissolves and mixes within the magma. The sugar represents the composition of the magma, which consists of different minerals and elements in a liquid state.
As the magma cools, the minerals and elements within it begin to solidify and crystallize, similar to how sugar crystallizes when a sugar solution cools. The crystallization process occurs as the magma loses heat, either underground or when it reaches the Earth's surface as lava. These solidified minerals and elements form igneous rocks with a crystalline structure. Therefore, in the context of igneous rock formation, the stove represents the Earth's interior where magma is formed, and the sugar represents the minerals and elements that make up the magma and later crystallize to form igneous rocks.
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Steven received scores of 70, 95, and 80 on his last three math tests. He needs a mean test score of 80 to qualify for the math team. What is the answer?
Answer:
81.7
Step-by-step explanation:
I did the math.
Good luck (:
Answer:
Steven needs a total score of 320 to have a mean of 80 and Steven has obtained 245 so far. So, he needs atleast 75 more to qualify for the maths team.
Write in slope-intercept form with the given information. Show all work. Passes through (-8,3) with a slope of -2
Answer:
y=-2x-13
Step-by-step explanation:
y=mx+b
3=-2(-8)+b
3=16+b
3-16=b
-13=b
Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right? g(x) = (1.6)x 5 − 9 g(x) = (1.6)x 5 9 g(x) = (1.6)x − 9 5 g(x) = (1.6)x 9 5
The equation which represents the provided function after it has been translated 5 units up and 9 units to the right is (1.6)ˣ⁻⁹+5.
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift-Let the parent function is \(f(x)\). Thus, by replacing parent function with \(f(x-b)\) Shifts the graph b units right, and by replacing parent function with \(f(x+b\)) shifts the graph b units left.Vertical shift-Let the parent function is f(x). Thus, by replacing parent function with \(f(x)-c\) Shifts the graph c units down and by replacing parent function with \(f(x)+c\) Shifts the graph c units up.The provided function in the problem is,
\(f(x) = (1.6)^x\)
The function has translated 5 units up. Thus, substrate 5 units inside the function.
\(g(x) = (1.6)^{x-5}\)
The function has translated units to the right. Thus, add 9 units outside the function as,
\(g(x) = (1.6)^{x-5}+9\)
Thus, the equation which represents the provided function after it has been translated 5 units up and 9 units to the right is,
\(g(x) = (1.6)^{x-5}+9\)
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Answer:
C
Step-by-step explanation:
ur wlcm
answer plz !! Whats the contrapositive ?
Answer:
It should be the first answer.
Step-by-step explanation:
The first answer says "If Nemo is a fish, then he swims". That makes sense. Then the second one says "If Nemo does swim, then he is a fish". That would make sense, but if my name was Nemo, I can swim. That doesn't mean I'm a fish. The the third one says "If Nemo is not a fish, then he doesn't swim". That doesn't make sense. Say my name is Nemo. I'm not a fish. I can swim though!
Answer:
If Nemo is a fish, then he swims.
Step-by-step explanation:
The contrapositive is
If A implies B then not B implies not A.
If Nemo does not swim, then he is not a fish, so:
The contrapositive is: If Nemo is not not a fish then he does not not swim.
= If Nemo is a fish, then he swims.
In science, a theory Multiple Choice is tested by an experiment. is more narrow in scope than a hypothesis. encompasses many hypotheses. cannot be tested. is held to be an absolutely correct answer to a question.
The correct option is that in science, a theory encompasses many hypotheses.
In science, a theory is a well-established explanation that is supported by scientific evidence and is extensively tested through experimentation and observation.
It's a big idea that includes several connected hypothese that have been thoroughly investigated and found to be true. A theory that hasn't been put to the test is called a hypothesis.
A hypothesis is a proposed explanation that is subject to further testing. It's an untested hypothesis that hasn't yet undergone experimental validation. Theories are the result of a drawn-out and labor-intensive process of experimentation and observation.
They can never be established as an absolute answer to a scientific problem. Instead, they lay the groundwork for additional investigation and experimentation in that field of study.
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What are the three theorems we can use
to show that two triangles are similar? Draw
an example of each theorem using two
triangles.
10th grade LT1
Answer:
Hope this will help you....
which of the following is not a pythagorean triple?
a. (6,8,10)
b.(4,6,7)
c.(5,12,13)
d.(9,12,15)
Answer:
B.
Step-by-step explanation:
(4, 6, 7)
Answer:
The answer is b.(4,6,7)
Step-by-step explanation:
I used this formula on each.
Pythagorean theorem: a² + b² = c²
a^2 = 4^2 = 16
b^2 = 6^2 = 36
16+36= 52
√52 = 7.21110255093
The other three gave an exact awnser but b.(4,6,7) didn't even though close.
A penny is tossed and a number cube is rolled. determine each probability.
you must answer the problem with at least 3 sentences.
what number is the probability of landing on tails and the number 5?
p(tails,5) =
Answer:
25% chance
Step-by-step explanation:
Because a penny has two sides that is 50 percent and a cube 6 sides that's 16 percent. then you subtract 16 from 50 to get a 34 percent chance of probably.
Choose one polynomial from each column below that will result in the given product. Select one option from each drop down. 24x^3y^2+16xy^3+12y^3 Column 1 a.) 4xy b.) 4x^2y c.) 4y^2 Column 2 d.) 6x+4y+3 e.) 6x^3+4xy+3y f.) 6x^2y+4x+3y^2
Answer:
\(Column\ 1: 4y^2\)
\(Column\ 2: 6x^3+4xy+3y\)
Step-by-step explanation:
Given
\(24x^3y^2+16xy^3+12y^3\)
Required
Determine the product from the given column
\(24x^3y^2+16xy^3+12y^3\)
Factor our \(y^2\)
\(24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)\)
Factor out 4
\(24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)\)
So: the factors are:
\(4y^2\) and \(6x^3 + 4xy + 3y\)
This gives:
\(Column\ 1: 4y^2\)
\(Column\ 2: 6x^3+4xy+3y\)
Chandler drives his car 20 miles round trip to work every day. How many total miles
does he drive to and from work in 5 days?
X is a normally distributed random variable with mean 50 and standard deviation 5. What is the probability that x will be less than 55?.
We need to know about z-score to solve the problem. The probability that x will be less than 55 is 0.84
A z-score tells us how many standard deviations away an individual data value falls from the mean. Once we find the z-score we can get the probability from the z-table. In the given question we know that X is normally distributed random variable with mean 50 and standard deviation 5, we need to find out the probability that x will be less than 55.
z-score= x-μ/σ=55-50/5=1
In z-table , the probablity for z-score=1 comes to 0.84
Therefore the probability that x will be less than 55 is 0.84.
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I NEED HELP PLEASE PLEASE I NEED A STEP BY STEP EXPLANATION PLEASEEE I'VE ONLY GOT TODAY PLEASE
The distance between person A and the balloon is given as follows:
367 m.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For the angle of 33º, we have that:
The opposite side is of 200 m.The hypotenuse is the distance.Hence the distance is obtained as follows:
sin(33º) = 200/d
d = 200/sine of 33 degrees
d = 367 m.
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i need help finding x and y for this equation i will give brainliest
Answer:
Step-by-step explanation:
y = x² -10x + 16
y = (x - 8) (x - 2)
solve each when y = 0
x - 8 = 0
x - 8 + 8 = 0 +8
x = 8
and
x - 2 = 0
x - 2 + 2 = 0 +2
x = 2
SO solutions are (8, 0) and (2, 0)
Can someone just solve pls
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(10,8)
Equation Form:
x=10,y=8
Step-by-step explanation:
Approximate the area under the function between a and b using a right-hand sum with the given number of intervals.
f(x) = 4 - x^2
a = 0, b = 2
4 Intervals.
The approximate area under the curve of f(x) from x=0 to x=2 using a right-hand sum with four intervals is 4.25.
To approximate the area under the curve of the function f(x) = 4 - x^2 from x=0 to x=2 using a right-hand sum with four intervals, we first need to divide the interval [0, 2] into four equal subintervals of length h = (b-a)/n = (2-0)/4 = 0.5. The four subintervals are [0, 0.5], [0.5, 1], [1, 1.5], and [1.5, 2].
Next, we find the height of the curve at the right endpoint of each subinterval and multiply it by the width of the subinterval to get the area of the rectangle that approximates the region under the curve. Using the right endpoints of the subintervals, we have:
f(0.5) = 4 - (0.5)^2 = 3.75
f(1) = 4 - (1)^2 = 3
f(1.5) = 4 - (1.5)^2 = 1.75
f(2) = 4 - (2)^2 = 0
area of each rectangle:
A1 = f(0.5) * h = 3.75 * 0.5 = 1.875
A2 = f(1) * h = 3 * 0.5 = 1.5
A3 = f(1.5) * h = 1.75 * 0.5 = 0.875
A4 = f(2) * h = 0 * 0.5 = 0
the approximate area under the curve of f(x) from x=0 to x=2:
A ≈ A1 + A2 + A3 + A4 = 1.875 + 1.5 + 0.875 + 0 = 4.25
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The slope of the graph of y = -2/3x is
Answer:
-(2/3)
Step-by-step explanation:
The standard form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).
y= -(2/3)x has m of -(2/3) and b of 0. It intersects the y-axis at 0 when x=0.
See the attached graph.
francis made a rectangular path from her driveway to the porch . the width of the path is 2 ft and the length is 28 ft longer than the width . what is the perimeter of the path
The perimeter of the rectangular path is 64 ft
What is a Rectangle?Rectangle is a type of quadrilateral that has its parallel sides equal to each other, opposite sides are equal to each other, and all the angle are equal to 90 degrees.
How to determine this
The perimeter of a Rectangle = 2 ( Length + Width)
Where the Width = 2 ft
Length = 28 ft longer than Width
i.e W + 28
Length = 2 + 28 = 30 ft
To calculate the perimeter if the path
Perimeter = 2( 30 + 2)
Perimeter = 2(32)
Perimeter = 64 ft
Therefore, the perimeter of the rectangular path is 64 ft
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The height of an equilateral triangle measures 9 3 cm. Find its area.
Answer:
The area of an equilateral triangle is (√3/4) x (9 3 cm)².
1( If a company's expenses for a month are $35,000 and they earn a profit of $101 550 what was the company's total amount of income?
2( Why was it helpful to solve i first when solving the problem
The company's total amount of income that is earned is $136,500.
What is the total income?Profit is the difference between revenue and expenses. Income is the total revenue that is earned by a company before any deductions. Expenses include all the cost incurred in running a business. Income is the sum of profit and expenses. A venture is profitable only if the revenue is greater than expenses.
Profit = income - expenses
Income = profit + expenses
$35,000 + 101,500 = $136,500
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If you pick a card from a suttled stund and deck what is the probability of picking an Ace or a club? 3) If you vell a pair of dice, what is the perisability of hing a sum ge hij wee hand is 7 to 3 TAN
Solution
A standard deck of cards has 4 suits: Hearts, Clubs, Spades, and Diamonds
Each suite contains an ace, 2, 3, 4,5,6,7,8,9,10, jack, queen, and king, a total of 13 cards
Therefore a standard pack of cards has 4 x13 cards = 52 cards/elements
An expression for probability is
\(P(A)\text{ = }\frac{No\text{ of required events}}{No\text{ of total possible events}}\)The question requires us to find the probability of picking an Ace or a Club
No of Aces = 4 across all the suits
No of Clubs = 4 across all suits
Total number of cards = 52
\(\begin{gathered} \text{Probability of Aces = }\frac{4}{52} \\ \text{Probability of Clubs =}\frac{4}{52} \end{gathered}\)The probability of picking an Ace or a Club is
\(\frac{4}{52}+\frac{4}{52}=\frac{8}{52}=\frac{2}{13}\)Answer = 2/13
Please help!!
Answers:
A)Triangle HGF is congruent to triangle FEH.
B) Triangle GFH is congruent to EFH
C) Angle KHE is congruent to angle KHG
D)Angle GHK is congruent to angle EFK
E)Segment EH is congruent to segment GH
F)Segment HG is congruent to FE
G)Segment FH is congruent to segment HF
Answer:
I guess HEF is congruent to GFH
But it's just guess I'm not confirm
Answer:
A.
Step-by-step explanation:
the triangle HGF is congruent to traingle FEH
Find the equation of the tangent line to y = tan? (2x) at x =-* tan² (2x) = {tan (2x)² J = 2 (tan (2x)) y =2/tan 2x) (sec²(2x 1/2)
To find the equation of the tangent line to the curve y = tan²(2x) at x = π/4, we need to determine the slope of the tangent line at that point and then use the point-slope form of a line to write the equation.
First, let's find the derivative of y with respect to x. Using the chain rule, we have:
dy/dx = 2tan(2x) sec²(2x).
Now, let's substitute x = π/4 into the derivative:
dy/dx = 2tan(2(π/4)) * sec²(2(π/4))
= 2tan(π/2) * sec²(π/2)
= 2(∞) * 1
= ∞.
The derivative at x = π/4 is undefined, indicating that the tangent line at that point is vertical. Therefore, the equation of the tangent line is x = π/4. Note that the equation y = 2/tan(2x) (sec²(2x) + 1/2) is not the equation of the tangent line, but rather the equation of the curve itself. The tangent line, in this case, is vertical.
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You and your friends are renting a limo
for your 13th birthday. The cost to rent
a limo is $150 plus $0.25 per mile. If your
total budget for the limo is $200, which equation
could be used to determine the number of miles
the limo can be rented for?
Answer:
200
Step-by-step explanation:
200$ - 150$ = 50$
50$ : 0.25$ = 200
Answer:
In explanation
Step-by-step explanation:
Given:
Flat fee: 150 $
Fee per mile: 0.25 $
Total: 200 $
We use this equation to determine the total costs, T:
\(T= 150+0.25(m)\)
With 200 dollars, we solve for m
200 = 150+0.25m
50=0.25m
m=200
Hope this helped! Have a good day.
Which of the following is a difference of cubes?
Answer:
The first answer. 8x^15 - 125y^3
Step-by-step explanation:
...because 8 is the cube of 2 and x^15 is the cube of x^5; also 125 is the cube of 5 and y^3 is the cube of y.
8x^15 - 125y^3 = (2x^5)^3 - (5y)^3
differentiate. f(x) = qx + r/sx + t, where q
,
r
,
s
,
t
are constants.
To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).
To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:
1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.
2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.
3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.
4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).
Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).
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