Answer:
Hope that this helps!!!
If ST=17 and RT=41, find RS. Use the number line below.
The length of segment RS is given as follows:
RS = 24.
What does the angle addition postulate state?The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.
The segment RT is the combination of segments RS and ST, hence:
RT = RS + ST.
Hence the length of segment RS is given as follows:
41 = RS + 17
RS = 24.
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BC has endpoints at B(3, 8) and C(7,6). Find the midpoint M of BC.
Write the coordinates as decimals or integers.
Submit
Answer: (5, 7)
Step-by-step explanation: Midpoint formula is ((x1 + x2)/2, (y1+y2)/2) where (x1, y1) and (x2, y2) are points on a line. Thus
(3+7/2, 8+6/2) = (5, 7)
Create an algebraic expression to represent the following situation:
Marta went the amusement park 6 times last summer. Each time she bought 15 tickets and spent $10 on parking.
Answer:
6 x (15 + $10)
Step-by-step explanation:
I am pretty sure.
Answer:
6x+15+10
Step-by-step explanation:
Who knows
Use the limit definition to find the derivative of the function. (Simplify your 5 points final answer. Upload here your solution.) -21/²4 f(x) 5 ↑ Add file =
To find the derivative of the function f(x), we will use the limit definition of the derivative. The derivative of f(x) with respect to x is given by:
f'(x) = lim(h→0) [f(x+h) - f(x)] / h
Let's substitute the given function f(x) = -21x²/24 + 5 into the derivative formula:f'(x) = lim(h→0) [-21(x+h)²/24 + 5 - (-21x²/24 + 5)] / h
Simplifying further:
f'(x) = lim(h→0) [-21(x² + 2hx + h²)/24 + 5 + 21x²/24 - 5] / h
f'(x) = lim(h→0) [-21x² - 42hx - 21h² + 21x²] / (24h)
f'(x) = lim(h→0) [-42hx - 21h²] / (24h)
Now, we can cancel out the common factor of h:
f'(x) = lim(h→0) (-42x - 21h) / 24
Taking the limit as h approaches 0, we can evaluate the expression:
f'(x) = (-42x - 0) / 24
f'(x) = -42x / 24
Simplifying the expression:
f'(x) = -7x / 4
Therefore, the derivative of the function f(x) = -21x²/24 + 5 is f'(x) = -7x/4.
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What is the value of 80 + 57
Answer:
137
Step-by-step explanation:
Add 80 and 57.
Solve the simultaneous equations
5 x − y = 8
7 x + 4 y = 22
Answer:
Solve the equation by substitution method ;
\(5x - y = 8 \\ y = 5x - 8\)
\(7x + 4y = 22 \\ 7x + 4(5x - 8) = 22 \\ 7x + 20x - 32 = 22 \\ 27x - 32 = 22 \\ 27x = 22 + 32 \\ 27x = 54 \\ \\ x = \frac{54}{27} \\ \\ x = 2\)
\(y = 5x - 8 \\ y = 5(2) - 8 \\ y = 10 - 8 \\ y = 2\)
(x , y ) —> ( 2 , 2 )
I hope I helped you^_^
Answered and solved !!!
You can also use the above method. This is also a similar type method. Please check the attached answer image.
Hope it helps you...
Benjemin.
Happy Studying!!!
Simple word problem. 40 POINTS!!!!Thank you.
Answer:
$50
Step-by-step explanation:
Hello There!
We are given that for 1 hour of work 250 dollars is charged and for 3 hours of work 350 dollars is charged
This could also be represented in two points (1,250) and (3,350)
The question wants us to find the hourly charge rate (slope)
we can easily find the slope ( hourly charge rate ) by using the slope formula
\(slope=\frac{y_2-y_1}{x_2-x_1}\)
we have our two points so all we need to do is plug in the values (remember y values go on top and x values go on the bottom.)
\(slope=\frac{350-250}{3-1} \\350-250=100\\3-1=2\\slope=\frac{100}{2} or50\)
So we can conclude that the hourly charge rate is $50
need the answers to the proofs, questions 13 and 14
(13) Angle A, angle B and angle C are collinear and are proved.
(14) Based on corresponding angles theorem, X is bisector of angle A.
What is the proof that A, B, C are collinear?The sum of the measures of collinear angles is always 180 degrees, as they together form a straight angle.
If we consider triangle PCQ;
Since line CP = line CQ; then angle P = angle Q = x
m∠PCQ = 180 - 2x
If we consider triangle PBQ;
Since line PB = line BQ; then angle P = angle Q = x
m∠PBQ = 180 - 2x
If we consider triangle PAQ;
Since line AP = line AQ; then angle P = angle Q = x
m∠PAQ = 180 - 2x
Thus, angle A, angle B and angle C are collinear.
14. To prove that X is a bisector A;
Draw a line parallel to AN from point B to opposite side, call this point Y
Angle formed from line M to line BY, is a corresponding angle to angle formed from line M to line AN.
If X is the bisector of angle B, then it is also a bisector angle A since both angles are equal.
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Which fraction is equivalent to this decimal?
0.16¯
1/16
16/100
1/6
1/3
Each lap around the track at Lincoln Community Center is 400 meters long. Levi ran a total of 1,600 meters as a warm-up before his workout. Let w be the number of laps Levi ran around the track as a warm-up. Write and solve an equation to find w.
Answer:
Step-by-step explanation:
The solution is 4 laps
The number of laps ran by Levi is given by the equation w = 4 laps
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of laps ran by Levi be represented as w
Now , the equation will be
The total length of a lap = 400 m
The total length ran by Levi = 1600 m
So ,
The number of laps w ran by Levi = total length ran by Levi / total length of a lap
Substituting the values in the equation , we get
The number of laps ran by Levi w = 1600 / 400
On simplifying the equation , we get
The number of laps ran by Levi w = 4 laps
Therefore , the value of w is 4 laps
Hence , the number of laps is 4 laps
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a certain star is 5.4 x 10^2 light years away from earth. one light year is about 5.9 x 10^12 miles. how many miles away from earth is the star?
Answer:
2.537 x 10¹⁵ miles
Step-by-step explanation:
We are given the following:
1 light year = 5.9 x 10¹² miles
Distance of the star = 4.3 x 10² light years
To get this we just convert the distance of the star in light years into miles.
We cancel out the light years and then we are left with:
In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.
Coefficients:
4.3 x 5.9 = 25.37
Exponents of 10:
10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴
Then we combine them again to form a scientific notation:
25.37 x 10¹⁴
But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.
The answer will then be:
2.537 x 10¹⁵ miles
Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.
Yours,
Fellow Brainiac
Answer: 318,600
Step-by-step explanation:
This is what I got hope it helped:)
Mike runs 12.6 miles in 3.5 hours. How fast does he run in miles per hour?
ALM not BLM
Answer: 3.6 mph
Step-by-step explanation:
Divide both numbers by 3.5 to get 3.6 miles per hourThat's the only step since they give you that much.
More specifically though, we could create an equation.
\(12.6=3.5x\) where x is the mph.
Solve the equation by dividing both sides by 3.5 and get the same answer.
can y’all help me i’m taking a test
Answer:
Over time, the function is DECREASING. Cho ran at a faster rate during segment K.
Step-by-step explanation:
What is percentage of values available between first and third quartile of this data set (8, 7, 3, 8, 14, 15, 20)?
Answer:
\(\%Pr =71.43 \%\)
Step-by-step explanation:
Given
\(S = \{8, 7, 3, 8, 14, 15, 20\}\)
\(n(S) = 7\)
Required
Percentage of values between Q1 and Q3
We have:
\(S = \{8, 7, 3, 8, 14, 15, 20\}\)
Sort
\(Sorted = \{3, 7, 8, 8, 14, 15, 20\}\)
Q1 is calculated as:
\(Q_1 = \frac{n+1}{4}th\)
\(Q_1 = \frac{7+1}{4}th\)
\(Q_1 = \frac{8}{4}th\)
\(Q_1 = 2nd\)
The second element is: 7; So:
\(Q_1 = 7\)
Q3 is calculated as:
\(Q_3 = 3*\frac{n+1}{4}th\)
\(Q_3 = 3*\frac{7+1}{4}th\)
\(Q_3 = 3*\frac{8}{4}th\)
\(Q_3 = 3*2th\)
\(Q_3 = 6th\)
The sixth element is: 15; So:
\(Q_3 = 15\)
From the sorted dataset, the data between Q1 and Q3 is:
\(Q_3&Q_1 = \{7, 8, 8, 14, 15\}\)
\(n(Q_3&Q_1) = 5\)
The percentage is:
\(\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%\)
\(\%Pr =\frac{5}{7} * 100\%\)
\(\%Pr =\frac{5* 100}{7} \%\)
\(\%Pr =\frac{500}{7} \%\)
\(\%Pr =71.43 \%\)
a new psychological test has a reliability of zero. this means that
A psychological test with a reliability of zero means that the results obtained from the test cannot be trusted or relied upon.
Reliability refers to the consistency or stability of a test over time. If a test has a reliability of zero, it means that the results obtained from the test are completely random and do not provide any meaningful information. This could be due to a variety of factors, such as poor test design, inconsistent scoring methods, or unreliable measures of the construct being assessed.
It is important for psychological tests to have high reliability in order to ensure that they are accurately measuring what they are intended to measure. Without reliability, the results obtained from the test cannot be trusted and may even be misleading. For example, if a test is designed to measure anxiety levels, but has a reliability of zero, it is impossible to know whether the results obtained from the test reflect actual anxiety levels or are simply random. To improve the reliability of a test, it is important to carefully design the test and scoring methods, ensure that the measures used are consistent and reliable, and conduct multiple test administrations to assess consistency over time. By improving reliability, researchers and clinicians can be more confident in the results obtained from the test and use them to make more informed decisions about diagnosis and treatment.
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The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth.
8.54 units
9.54 units
11.00 units
24.00 units
Answer:
8.54 unitsStep-by-step explanation:
Given,
Perpendicular ( p ) = 8 units
Base ( b ) = 3 units
Hypotenuse ( h ) = ?
Using Pythagoras theorem:
\( {h}^{2} = {p}^{2} + {b}^{2} \)
plug the values
\( {h}^{2} = {8}^{2} + {3}^{2} \)
Evaluate the power
\( {h}^{2} = 64 + 9\)
Calculate the sum
\( {h}^{2} = 73\)
Squaring on both sides
\(h = \sqrt{73} \)
Calculate
\(h = 8.54\) units
Hope this helps..
Best regards!
Answer:
TEST ANSWER: q1:C q2:a q3:b q4:c
Step-by-step explanation:
i got it right on the test 100%
хWhich statements about comparing two numbers are correct? Select all that apply.A The number with fewer digits is always smallerB. The number with more digits is always smallerC. The number with the larger number in the ones place is always greater
Step 1:
The number with fewer digits is always smaller (Option A is correct)
Step 2
Numbers with different numbers of digits are never equal. (Option E is correct).
please help i hate these
Answer:
A.
Step-by-step explanation:
line DE is dialated from or into AB which is 4cm and the only one that puts DE equal to 4 is A
Find the equation of the line that passes through (1,3) and is perpendicular to 2y=2x-1
Leave your answer in the form of y=Mx+c
Answer:
y = -x + 4
lmk if it's wrong lol
a film distribution manager calculates that 9%9% of the films released are flops. if the manager is right, what is the probability that the proportion of flops in a sample of 506506 released films would differ from the population proportion by greater than 3%3%? round your answer to four decimal places.
The probability that the proportion of flops in a sample of 506 released films would differ from the population proportion by greater than 3% is approximately 0.0192 or 1.92% (rounded to four decimal places).
Given:
Population proportion of flops: p = 9% = 0.09
Sample size: n = 506
First, let's calculate the standard deviation (σ) of the sampling distribution, which represents the standard error of the proportion:
σ = √[(p * (1 - p)) / n]
= √[(0.09 * (1 - 0.09)) / 506]
≈ √[(0.0819) / 506]
≈ √[0.000161955]
≈ 0.012736
Next, we need to find the z-score associated with a difference of 3% from the population proportion:
z = (0.03 - 0) / σ
= 0.03 / 0.012736
≈ 2.3542
Using a standard normal distribution table or calculator, we can find the probability associated with the z-score of 2.3542. However, since we are interested in the probability that the proportion differs from the population proportion by greater than 3%, we need to consider both tails of the distribution.
The probability of a difference greater than 3% is equal to the probability of a z-score less than -2.3542 or greater than 2.3542.
P(z < -2.3542) + P(z > 2.3542)
Looking up the values in the standard normal distribution table or using a calculator, we find:
P(z < -2.3542) ≈ 0.0096
P(z > 2.3542) ≈ 0.0096
Adding these probabilities:
0.0096 + 0.0096 ≈ 0.0192
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Lucky's Market purchased a new freezer for the store.
When the freezer door stays open, the temperature
inside rises. The table shows how much the
temperature rises every 15 minutes. Find the unit rate.
temperature (°F) =10
number of minutes =15
°F per minute
Answer:
1/3 degreees/min
Step-by-step explanation:
In 15 min, temp. rises by 10 degrees
This means that 10 degrees / 15 min = 2 deg / 3 min
1/3 degree/min
The unit rate of change in °F per minute is 0.667°F/ min .
What is an Equation ?An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.
It is given that
The rate of increase of temperature with increasing time is given
The unit rate of change in °F per minute has to be determined .
In 15 minutes , the temperature changes by 10°F
The rate of unit change is 10 / 15 = 0.667
20/30 = 0.667
40/60 = 0.667
Therefore the unit rate of change in °F per minute is 0.667°F/ min .
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f(x)= -x
r(x)= f(1/4x)
describe the transformation pls help!!
The sequence of transformations applied to function f(x) to produce function r(x) is a reflection across the y-axis and dilation by a scale factor of 1/4.
What is a reflection?A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection across the y-axis (y = x) of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, function f(x) = -x would be transformed to function r as follows:
f(x) = -(-x)
r(x) = x
By applying a dilation with a scale factor of 1/4 to function r, we have:
r(x) = (1/4 × x) → r(x) = f(1/4x)
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solve the following quadratic equation by completing the square
Step-by-step explanation:
x=-14 plus/minus squared root of 1394 over 7
A landscaper is designing a wall of white bricks . The pattern consists of 130 white bricks in the bottom row , 110 white bricks in the second row , and 90 white bricks in the third row . How meany white bricks will the 6th row have
Answer:
30 Bricks in the 6th row
Step-by-step explanation:
i found the answer online
Answer:
b: 30
Step-by-step explanation:
took test
The fence of a square car park is a barbwire fixed at wooden posts. Its side measure 120 feet. What is the area of the car park?
Answer:
14,400
Step-by-step explanation:
120 x 120 = 14,400
Answer this easy geometry question
Answer:
1684.8 cubic units
Step-by-step explanation:
In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.
h + 7² = 13²
h²= 169 - 49
h² = 120
h = √120
h = 10.95 units
radius = r = 7 units
\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)
= 3.14 * 7 * 7 * 10.95
= 1684.8 cubic units
Evaluate the function f(x) = 4x-6 at the given values of the independent variable and simplify
In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.
What is function?In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.
Here,
To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.
For example:
f(0) = 4(0) - 6 = -6
f(1) = 4(1) - 6 = -2
f(2) = 4(2) - 6 = 2
f(-1) = 4(-1) - 6 = -10
f(3a) = 4(3a) - 6 = 12a - 6
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How much is 10,000 pesos in US dollars?
The current exchange rate for 10,000 pesos is around $500 US dollars.
The exchange rate between the peso and the US dollar is constantly fluctuating due to a variety of economic and political factors. As of my knowledge cutoff in 2021, the current exchange rate is around 20 pesos to 1 US dollar, so 10,000 pesos would be equivalent to around $500 US dollars.
However, it's important to note that these rates can change on a daily basis and may be affected by a variety of factors such as inflation, interest rates, and political stability. It's also important to note that the exchange rate can vary based on the location and method of currency exchange.
Therefore, it's always a good idea to check the current exchange rate before making any financial transactions involving a different currency.
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Decide whether the underlined phrase is correct or incorrect as written.
Necesito una bolígrafo.
Answer:
The phrase Necesito una bolígrafo is correctly written.
Step-by-step explanation:
Necesito una bolígrafo is a spanish phrase
The word for word English Translation is:
Necesito: Need
Una: a
Bolígrafo: Pen
Therefore, the phrase translates to: "I need a pen"
Select the correct answer. The radius of a nitrogen atom is 5. 6 × 10-11 meters, and the radius of a beryllium atom is 1. 12 × 10-10 meters. Which atom has a larger radius, and by how many times is it larger than the other? A. The radius of nitrogen is 20 times larger than the radius of beryllium. B. The radius of beryllium is 40 times larger than the radius of nitrogen. C. The radius of nitrogen is 4 times larger than the radius of beryllium. D. The radius of beryllium is 2 times larger than the radius of nitrogen.
A negative exponent means the number of the exponent divide by the number. The the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.
Given information-
The radius of a nitrogen atom is \( 5.6\times10^{-11} \) meters.
The radius of a beryllium atom is \(1.12 \times10^{-10}\) meters
Negative exponentsA negative exponent means the number of the exponent divide by the number.
As the radius of the nitrogen atom is \( 5.6\times10^{-11} \) meters. Convert it in the power of negative exponent of 10.
Let the radius of the nitrogen is \(r\) mm. Thus,
\(r=5.6\times 10^{-11}\\ r=5.6\times 10^{-10-1}\\ r=5.6\times 10^{-10}\times10^{-1}\\ r=\dfrac{5.6\times 10^{-10}}{10} \\ r=0.56\times 10^{-10}\)
Now the base of the exponents of both the atoms are same. As the radius of the nitrogen atom is \(0.56\times 10^{-10}\) meters and the radius of the beryllium atom is \(1.12 \times10^{-10}\). Thus the radius of beryllium atom is larger.
To calculate how many times, the radius of beryllium atom should be divided by the radius of a nitrogen atom. Thus,
\(=\dfrac{1.12\times10^{-10}}{0.56\times10^{-10}} \\ =2\)
Thus the the radius of beryllium atom is larger than the radius of a nitrogen atom by two times.
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