Answers
x = sqrt (169 - 144)
x = sqrt(25)
x = 5
Related Questions
What is the equation for the line of curve of best fit for the following data?
{(4, 32), (20, 808), (17, 662), (8, 125), (13, 307)}
Option 1. y = -240x + 50.5
Option 2. y = 50.5x - 240
Option 3. y = 2.2x^2 - 1.6x - 1.6
Option 4. y = -0.08x^4 + 3.7x^3 - 56.6x^2 + 361.5x - 726.9
Answers
Option B. y = 50.5x - 240
If we plot these points on a graph, we will observe that these points mostly lie in a straight line. Therefore, a straight line will be the best fit for the given ordered pairs. The equation of the best fit can be found using any tool like Statistica, Stata or Excel. I have used Microsoft Excel to plot the lines and find the equation of best fit. The graph and equation are shown below in the image attached with:
1410+0515 in milartary time
Answers
A rope of length 2/5 m is cut into 4 equal cords. What is the length of each cord?
Answers
hope it helps
please mark as brainliest
Please help me god bless you.
Answers
Larry use a pattern of colors to make a Q train he use a regular a blue cube a Red Cube and another Red Cube before he start the pattern again he use 15 cubes how many red cubes are Larry use
Answers
Sam can plant 261 cabbage plants in 1 row of his garden . How many rows in his garden must be used to plant 1044 plants
Answers
rihanna has a spinner, which is divided into four equal parts. the parts are numbered 1, 2, 3, and 4. if rihanna spins the spinner and tosses a coin, which table shows all the possible outcomes
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Total parts in which a spinner is divided = 4
Each part is named as 1,2,3,4.→Total possible outcome when spinner gets in the motion.
When we toss a coin , total possible outcome = {H,T}
So, all the possible outcome when Rihana spins the spinner and tosses a coin = {H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8
Answer:
that it c and it was is
grandma baked cookies, she gave 7 to Sandy . she gave half of what was left plus 1 to sue. she gave 3 to Stan. then she gave half of what was left to Steve. since there was only 2 left she ate them herself. how many cookies did ahe bake?
Answers
If you then look, it says that after Sandy and Sue and Stan, Steve was given half of the cookies left. After Steve's cookies were given, there were only two left for grandma. That means Steve got 2 cookies, because grandma also got 2. Now we know that the total amount of cookies must be > than 15.
But using this information, we know that after 3 cookies were given to Stan, there were 4 cookies (b/c 2 + 2 = 4). This also means that before 3 cookies were given to Stan, there were 7 cookies (b/c 4 + 3 = 7).
So now I did a little trial and testing. After a few tries, I've found the answer. Grandma baked 23 cookies in total.
23 - 7 = 16. 16 / 2 = 8. 8 + 1 = 9. 16 - 9 = 7. 7 - 3 = 4. 4 / 2 = 2. 4 - 2 = 2.
Sorry if this was a tad confusing, hope it helps though!
Which exponential equation is equivalent to the logarithmic equation below? c = ln 2
Answers
f(x)=a^x
"a" is the base and "x" is the exponent.
2. It is important to know that the logarithmic functions and the exponential functions are inverse. Then, you have:
c=ln2
e^c=e^(ln2)
e^c=2
3. Therefore, the answer is:
e^c=2
e^c=2
Step-by-step explanation:
what is the reciprocal
Answers
the reciprocal of a rational, is just the same thing, upside-down, thus
[tex]\bf u^2-s^2\implies \cfrac{u^2-s^2}{1}\implies \stackrel{reciprocal}{\cfrac{1}{u^2-s^2}}[/tex]
In order to find the reciprocal of a number, we should just flop it over.
If we're asked to find the reciprocal of a fraction, then the numerator & denominator of the fraction switch places.
If we're asked to find the reciprocal of an expression, then we also flop it over, like so:-
[tex]\pmb{u^2-s^2}\longmapsto\pmb{\displaystyle\frac{u^2-s^2}{1} }\longmapsto\pmb{\displaystyle\frac{1}{u^2-s^2} }[/tex]
Explanation of steps:-
First, I turned the expression into a fraction by adding a denominator of 1.
Then, I flopped it over and found the reciprocal.
Hence, the reciprocal of u²-s² is:-
[tex]\bigstar{\boxed{\pmb{\displaystyle\frac{1}{u^2s^2} }}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
A rectangle has dimensions 10 cm by 6 cm. determine the measures of the angles at the point of where the diagonals intersect
Answers
we know that
in the triangle ABC
tan(alfa/2)=AC/BC----> 5/3
so
(alfa/2)=arctan (5/3)---------> 59.0362°
alfa=2*59.0362--------> alfa=118.07°
alfa+beta=180°----------> because are supplementary angles
beta=180-118.07-------> beta=61.93°
the answer is
the angles are
alfa=118.07°
beta=61.93°
Find the radius of a cylinder with a volume of 208 cm3 and a height of 4 cm.
Answers
----------------------------------------------
Find radius :
----------------------------------------------
208 = π x r² x 4
r² = 208 ÷ 4π
r² = 16.55
r = √16.55
r = 4.07 cm
----------------------------------------------
Answer: The radius is 4.07 cm.
----------------------------------------------
Whole numbers are written on cards and then placed in a bag. Tyra selects a single card, writes down the number, and then places it back in the bag. She repeats this 62 times. Tyra calculates the relative frequency of each number card. Outcome 1 2 3 4 5 Relative Frequency 0.19 0.20 0.21 0.19 0.21 Which statement about Tyra's experiment is true? The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes do not appear to be equally likely, so a uniform probability model is not good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment. The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment. will give BRAINLIEST
Answers
Answer: The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment.
Step-by-step explanation: Probability model, also known as Probability distribution, is a mathematical function that shows the probability of any outcome to occur in an experiment. When those probabilities of occurence are the same for all possible outcomes, it is a uniform probability distribution.
For example, if you roll a fair dice, the probability of having the number 1 is 1/6; for 2 is also 1/6 and etc,
In Tyra's experiment, when the calculates the frequency of each number card, the values are closer together. This means that the probability of taking a card with number 1 written on it is almost the same as taking a card with number 2 and so. In conclusion, Tyra's experiment is au uniform probability model.
The statement about Tyra's experiment is:The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment.
In probability theory, a uniform probability model is one in which all outcomes in the sample space are equally likely to occur. This means that if there are n possible outcomes, the probability of each outcome is [tex]\( \frac{1}{n} \)[/tex].
In Tyra's experiment, she drew a card from a bag, recorded the number, and then replaced it before drawing again. This process is repeated 62 times, and she calculates the relative frequency of each number card. The relative frequency is the ratio of the number of times a particular outcome occurs to the total number of trials.
The given relative frequencies for outcomes 1 through 5 are as follows:
Outcome 1: 0.19Outcome 2: 0.20Outcome 3: 0.21Outcome 4: 0.19Outcome 5: 0.21If the outcomes were equally likely, we would expect the relative frequencies to be the same for all outcomes, especially after a large number of trials like 62. However, the relative frequencies vary from 0.19 to 0.21, indicating that some outcomes are occurring more frequently than others.
Since the relative frequencies are not the same for all outcomes, we can conclude that the outcomes do not appear to be equally likely. Therefore, a uniform probability model, which assumes equal likelihood for all outcomes, would not be a good fit for Tyra's experiment. Instead, the probabilities in Tyra's experiment seem to be non-uniform, and a different probability model that accounts for the varying likelihoods of the outcomes would be more appropriate.
An item is regularly priced at $ 40 . It is on sale for 40 % off the regular price. How much (in dollars) is discounted from the regular price?
Answers
$16 are discounted from the regular price of the item.
DiscountsGiven that an item is regularly priced at $40, and it is on sale for 40% off the regular price, to determine how much (in dollars) is discounted from the regular price, the following calculation must be performed:
40 - (40 x (1 - 0.4)) = X40 - (40 x 0.6) = X40 - 24 = X16 = XTherefore, $16 are discounted from the regular price of the item.
Learn more about discounts in https://brainly.com/question/1289629
A train arrives at the station with 150 passengers on board.2/5 of the passengers get off the train in Seattle,and then 35 passengers board the train.How many passengers are on the train when it leaves the station?
Answers
Good luck!!
30×2=60
60+35=95
so there are 95 passengers when the train leaves.
Let f(x)=5x3−60x+5 input the interval(s) on which f is increasing. (-inf,-2)u(2,inf) input the interval(s) on which f is decreasing. (-2,2) find the intervals on which f is concave up. (-inf,-2)u(2,inf) find the intervals on which f is concave down.
Answers
(a) f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].
(b) f is decreasing at [tex](-2,2)[/tex].
(c) f is concave up at [tex](2, \infty)[/tex]
(d) f is concave down at [tex](-\infty, 2)[/tex]
Explanations:
(a) f is increasing when the derivative is positive. So, we find values of x such that the derivative is positive. Note that
[tex]f'(x) = 15x^2 - 60 [/tex]
So,
[tex] f'(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textgreater \ 0} \text{ (1)}[/tex]
The zeroes of (x - 2)(x + 2) are 2 and -2. So we can obtain sign of (x - 2)(x + 2) by considering the following possible values of x:
-->> x < -2
-->> -2 < x < 2
--->> x > 2
If x < -2, then (x - 2) and (x + 2) are both negative. Thus, (x - 2)(x + 2) > 0.
If -2 < x < 2, then x + 2 is positive but x - 2 is negative. So, (x - 2)(x + 2) < 0.
If x > 2, then (x - 2) and (x + 2) are both positive. Thus, (x - 2)(x + 2) > 0.
So, (x - 2)(x + 2) is positive when x < -2 or x > 2. Since
[tex]f'(x) \ \textgreater \ 0 \Leftrightarrow (x - 2)(x + 2) \ \textgreater \ 0[/tex]
Thus, f'(x) > 0 only when x < -2 or x > 2. Hence f is increasing at [tex](-\infty,-2) \cup (2,\infty)[/tex].
(b) f is decreasing only when the derivative of f is negative. Since
[tex]f'(x) = 15x^2 - 60 [/tex]
Using the similar computation in (a),
[tex]f'(x) \ \textless \ \ 0 \\ \\ \Leftrightarrow 15x^2 - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 15(x - 2)(x + 2) \ \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{(x - 2)(x + 2) \ \textless \ 0} \text{ (2)}[/tex]
Based on the computation in (a), (x - 2)(x + 2) < 0 only when -2 < x < 2.
Thus, f'(x) < 0 if and only if -2 < x < 2. Hence f is decreasing at (-2, 2)
(c) f is concave up if and only if the second derivative of f is positive. Note that
[tex]f''(x) = 30x - 60[/tex]
Since,
[tex]f''(x) \ \textgreater \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textgreater \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textgreater \ 0 \\ \\ \Leftrightarrow x - 2 \ \textgreater \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textgreater \ 2} [/tex]
Therefore, f is concave up at [tex](2, \infty)[/tex].
(d) Note that f is concave down if and only if the second derivative of f is negative. Since,
[tex]f''(x) = 30x - 60[/tex]
Using the similar computation in (c),
[tex]f''(x) \ \textless \ 0 \\ \\ \Leftrightarrow 30x - 60 \ \textless \ 0 \\ \\ \Leftrightarrow 30(x - 2) \ \textless \ 0 \\ \\ \Leftrightarrow x - 2 \ \textless \ 0 \\ \\ \Leftrightarrow \boxed{x \ \textless \ 2}[/tex]
Therefore, f is concave down at [tex](-\infty, 2)[/tex].
The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equation solved for V?
Answers
A way to get density is mass/volume
A way to get mass is density times mass.
I know you didn't ask for the other equations, but I listed them to show how density, volume, and mass are related. To answer your question, to get volume you divide mass by density.
The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. [tex](m)/(d)=V[/tex] is an equivalent equation solved for [tex]V[/tex].
To find the equation equivalent to [tex]d= m/V[/tex] solved for [tex]V[/tex], we need to isolate [tex]V[/tex]on one side of the equation.
Given the equation [tex]d= m/V,[/tex] where [tex]d[/tex] represents density, [tex]m[/tex] represents mass, and [tex]V[/tex] represents volume.
To solve for [tex]V[/tex] , we can rearrange the equation:
[tex]d= m/V[/tex]
First, let's get rid of the fraction by multiplying both sides by [tex]V[/tex]:
[tex]d*V=m[/tex]
Now, to isolate [tex]V[/tex], we need to divide both sides by [tex]d[/tex]:
[tex]V= m/d[/tex]
So, the equivalent equation solved for [tex]V[/tex] is:
[tex]V= m/d[/tex]
This corresponds to option C: [tex]m/d=V.[/tex]
COMPLETE QUESTION:
The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. Which is an equivalent equation solved for [tex]V[/tex]?
A. [tex]dm=V[/tex]
B. [tex](d)/(m)=V[/tex]
C. [tex](m)/(d)=V[/tex]
D. [tex]m-d=V[/tex]
Two angle add up to be complementary if one angle is 15 degree more than 2 times the other find the value of the smaller side
Answers
.. x + y = 90 . . . . . . two angles are complementary
.. x -2y = 15 . . . . . . one angle is 15 more than twice the other (y = smaller angle)
Subtract the second equation from the first.
.. (x +y) -(x -2y) = (90) -(15)
.. 3y = 75
.. y = 25
The smaller angle is 25 degrees.
In a taxi, there is a pregnant lady that's 25 years old.An elder that's 76 years old. The taxi driver who's 34 years old. Who is the youngest?
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i got yououu
What is the answer to the equations
Answers
1) triangle
a=3
b=5
c=?
applying the Pythagoras theorem
c²=a²+b²----> 3²+5²=34
c=√34
the answer part N 1) is c=√34
2) triangle
a=?
b=6
c=8
applying the Pythagoras theorem
c²=a²+b²----> a²=c²-b²-----> 8²-6²-------> a=√28
a=√28
the answer part N 2) is a=√28
3) triangle
a=?
b=3
c=√15
applying the Pythagoras theorem
c²=a²+b²----> a²=c²-b²-----> √15²-3²-------> a=√6
a=√6
the answer part N 3) is a=√6
4) triangle
a=5
b=6
c=13
c²--------> 13²=169
a²+b²----> 5²+6²=61
c²> (a²+b²)------------> the triangle is obtuse
5) triangle
a=5
b=12
c=13
c²--------> 5²=25
a²+b²----> 12²+13²=313
c²< (a²+b²)------------> the triangle is acute
6) triangle
a=9
b=11
c=13
c²--------> 9²=81
a²+b²----> 11²+13²=61
c²> (a²+b²)------------> the triangle is obtuse
N 8) the base of a ladder is placed 6 feet from a wall. If the top of the ladder is at a point 8 feet high, how long is the ladder?
we have that
a= 8 ft
b=6 ft
c=?
applying the Pythagoras theorem
c²=a²+b²----> 8²+6²-----> √100-------> c=10 ft
c=10 ft
the answer part N 8) is 10 ft
N 9) Amy laptop computer has a 15 inch diagonal and is 14 inch wide. Determine the height of the screem
we have that
a=?
b=14 in
c=15 in
applying the Pythagoras theorem
c²=a²+b²----> a²=c²-b²-----> 15²-14²-------> a=√29-----> a=5.39 in
a=5.39 in
the answer part N 9) is a=5.39 in
N 10)
we have that
a= 5
b=12
c=?
applying the Pythagoras theorem
c²=a²+b²----> 5²+12²-----> √169-------> c=13 blocks
c=10 ft
the answer part N 10) is 13 blocks
Compare the decimals 1,825.10 and 1,825.1. Which is correct? A. 1,825.10 > 1,825.1 B. 1,825.10 < 1,825.1 C. 1,825.10 = 1,825.1
Answers
1,825.1=1,825.10
ABC undergoes a dilation, with a scale factor of 6, to form A’B’C’
Side A’B’ is 6 times the length of slide AB
what is the area of A’B’C, compared to the area of ABC?
Answers
area scale factor=(linear scale factor)²
hence
area scale factor=6²
thus we conclude that the area of A'B'C' is 36 times the area of ABC
In the figure, and . Complete the following statements to prove that and are supplementary angles. and , as they are corresponding angles for parallel lines cut by a transversal. Therefore, if , then by the . Therefore, and are supplementary angles by the . ° (1) , so (2) Applying the to (1) and (2), we get . Therefore, and are supplementary angles.
Answers
1) D. (TRANSITIVE PROPERTY OF CONGRUENCY)2) C. (LINEAR PAIR THEOREM)3) D. TRANSITIVE PROPERTY OF CONGRUENCY) to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.4) C. (CONGRUENT SUPPLEMENTS THEOREM)
The Complete sentence is shown below.
What is Congruent Supplement theorem?Two angles are congruent if they are supplements of the same angle (also known as congruent angles).
The Complete sentences will be
∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)
∠EIA ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)
∠IKL + ∠IKC 180° (Linear Pair Theorem)
and ∠DLH + ∠JLD =180° (Linear Pair Theorem)
Then, m∠IKL + m∠IKC = 180°
Also, ∠IKC ≅ ∠JLD
m∠IKC = m∠JLD (Subtraction Property OF Congruency)
Thus, m∠IKL + m∠JLD = 180°
As, ∠IKL and ∠JLD are supplementary angles.
But ∠DLH and ∠JLD are supplementary angles.
∠IKL ≅ ∠DLH (Congruent Supplements Theorem)
Learn more about Congruent Supplements Theorem here:
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Convert y=2/3x-17 to standard form
Answers
-2/3x - 2/3x Subtract x value from both sides
-----------------------------
y - 2/3x = -17
The city of austin can buy roads or light rail. if 10 miles of roads cost $1 million and 2 miles of light rail cost $10 million, what is the city's opportunity cost of 1000 miles of roads?
a. $1,000 million
b. 200 miles of light rail
c. 2 miles of light rail
d. $100 million
e. $50 million
Answers
10 miles of road = $1 million. Multiply by 100 to get the cost for 1000 miles of road.
1000 miles = $1 million * 100 = $100 million.
For the same $100 million, the city could build 20 miles of light rail. (2 miles for $10 million, multiply by 10 = 20 miles for $100 million).
This figure is a step in which construction?
A. a line parallel to <-AB-> through point P.
B. a line perpendicular to <-AB-> through point P.
Answers
C is a point made by making the compass points such that AC>AP and the compass points are not altered so that BC = AC
C when joined to P creates a perpendicular line. This is very important. You use it a lot.
Option: B is the correct answer.
B. a line perpendicular to <-AB-> through point P.
Step-by-step explanation:We know that a line perpendicular to a given line is constructed as follows:
1) Draw a line segment AB
2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.
3) Draw a straight line that passes through the intersection of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.
Hence, the correct option is:
Option: B
Lynn and dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn and dawn's results?
Answers
The price of milk is believed to increase by 54% over the next 3 years. If 2 gallons of milk costs $2.50 now, what will the price be in 3 years after the increase?
Answers
$3.85 will be the cost of the milk in three years
Final answer:
To find the future price of milk after a 54% increase, multiply the current price by 1.54. For 2 gallons of milk costing $2.50 now, the future price will be $3.85.
Explanation:
To calculate the future price of milk after a 54% increase over 3 years, we first need to determine the percentage increase in decimal form and then apply it to the current price. An increase of 54% is equivalent to a multiplier of 1.54 in decimal form.
Therefore, if 2 gallons of milk currently cost $2.50, we calculate the future cost by multiplying $2.50 by 1.54.
Here's the calculation:
Convert the percentage increase to a decimal: 54% = 0.54.
Add 1 to the decimal to account for the total value after the increase: 1 + 0.54 = 1.54.
Multiply the current price of 2 gallons of milk by the increase factor: $2.50 x 1.54 = $3.85.
After a 54% increase, the price for 2 gallons of milk will be $3.85.
2 groups of students were acts how many hours they spent reading each day the table below shows the numbers for each group
Answers
Find two different sets of parametric equations for the given rectangular equation (there are many correct solutions) x^2+4y^2 - 16=0