Answer:
Step-by-step explanation:
2x +15 +2x +5 = 180
4x = 180 - 20
x = 160/4
x = 40
TVZ + 2x +5 =180
TVX +2(40) = 180 -5
TVX = 175 - 80
TVX = 95
4 x 6 - 8 / 4 = help me out
Answer:
22
Step-by-step explanation:
You use the order of operations: PEMDAS.
Sooo...
4*6-8/4=
24-8/4=
24-2=
22
Translate the following phrase into an absolute value inequality.
The distance between 2 and 5 times a number is no less than 8.
1.|5x−2|≥8
2.|5x−2|≤8
3.|5x+2|≤8
4. |5x+2|≥8
Trey takes the angle shown, places the point of his compass on S, and draws an arc with an arbitrary radius intersecting the rays of the angle at P and R. Trey claims that as long as he draws two more arcs by placing the needle of his compass on P and then on R, drawing a ray from S through the point at which the arcs intersect, he will be able to bisect ∠S. Is Trey correct? Explain.(1 point)
1. Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal.
2. Trey is correct since the initial arc was drawn with the point of the compass on S, RS=PS.
3. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
4. Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.
1. The inequality when the distance between 2 and 5 times a number is no less than 8 is 1. |5x−2|≥8
2. The correct option is A. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.
How to express the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
The distance between 2 and 5 times a number is no less than 8.
Let the number be x
This will be |5x−2|≥8. The correct option is 1.
For the second question, it should be noted that Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R. The correct option is A.
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Simplify the radical expression
Answer:
6x
Step-by-step explanation:
\( \sqrt{36 {x}^{2} } = \sqrt{36} \times \sqrt{ {x}^{2} } \)
Square of 36 is 6. Square of x^2is x.
\(6x\)
Suppose the risk-free return is 3%. The beta of a managed portfolio is 1.75, the alpha is 0%, and the average return is 16%. Based on Jensen's measure of portfolio performance, you would calculate the return on the market portfolio as:
12.3%
10.4%
15.1%
16.7%
The return on the market portfolio is approximately 10.4%.
Suppose the risk-free return is 3%. The beta of a managed portfolio is 1.75. To calculate the return on the market portfolio using Jensen's measure, we can use the Capital Asset Pricing Model (CAPM) formula:
Expected Return = Risk-Free Return + Beta * (Market Return - Risk-Free Return)
Given that the alpha is 0% and the average return is 16%, we can rewrite the formula:
16% = 3% + 1.75 * (Market Return - 3%)
Now, we solve for the Market Return:
13% = 1.75 * (Market Return - 3%)
13/1.75 = Market Return - 3
7.43 ≈ Market Return - 3
Market Return ≈ 10.43%
So, the return on the market portfolio is approximately 10.4%.
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the
ble.
What are the solutions of this system of equations?
O (5,-24) and (3, -12)
O (5, 36) and (3, 24)
O (-5, -24) and (-3, 12)
O (-5, 36) and (-3, 24)
The system of equation are
y=-x²+2x-9
y=-6x+6
The solution of the system of equation is (5,-24) and (3,-12). Option-A is correct.
Given that,
The system of equation are
y=-x²+2x-9
y=-6x+6
We must identify the equation system's solutions.
A system of equations is a collection of equations with one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the intersections of all of these equations.
Take the equation.
y=-x²+2x-9
y=-6x+6
We can write as
-x²+2x-9=-6x+6
-x²+2x-9+6x-6=0
-x²+8x-15=0
x²-8x+15
By solving the factorization we get the x values.
x²-5x-3x+15=0
x(x-5)-3(x-5)=0
(x-5)(x-3)=0
Take,
x-5=0 (or) x-3=0
x=5 (or) x=3
Take x=5 and substitute in the equation.
y=-6x+6=-6(5)+6=-30+6=-24
Take x=3 and substitute in the equation.
y=-6x+6=-6(3)+6=-18+6=-12
Therefore, The solution of system of equation is (5,-24) and (3,-12). Option-A is correct.
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f(x)=x²-3x+1
Write an expression for f(p²)
The modified function will be f(p²) = \(p^{4}\) - 3p² +1.
What is a function?
A function is a special kind of relation where each input has exactly one output. In other words, for each input value, the function returns exactly one value. A relation instead of a function is depicted in the above graph as one is mapped to intermediate values. However, if someone were instead mapped to the a single value, the relationship described above would change into a function. Furthermore, output values could match input values exactly. The function machine receives the x-values as input. After finishing its operations, the function machine outputs the y-values. Any function may be the one within.
The given function f(x) = x²-3x+1
So we can replace x ---→ p²
So f(p²) = \(p^{4}\) - 3p² +1
Hence the modified function will be f(p²) = \(p^{4}\) - 3p² +1
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Answer:
f ubiquitous uniform 8th Nii coffin stubby chin
WILL VOTE BRAINLIEST PLUS 50 POINTS! I AM DESPERATE!
What is the value of y?
Answer:
I would choose C.
Step-by-step explanation:
He wanted to catch up with the others, If you at this as a person 6 didn't want to be left out.
Which set of numbers cannot represent the lengths of the sides of a triangle?
1) 7,5,6
2) 7,18,11
3) 6,8,11
4) 9,1219
Answer:
2) 7,18,11Step-by-step explanation:
Triangle inequality:
Sum of side lengths of any two sides must be greater than the third side
7 + 11 = 18, this is the only exceptionOption 2
Answer:
2) 7,18,11
Step-by-step explanation:
Because it is the "Correct Answer"
Determine the measure of the unknown angles.
PLEASE HELP!!! ASAP!!
(Picture included)
(V.O.A) means vertically opposite angle.
A smoothie recipe calls for 4 cups of milk, 3 frozen bananas and 2 tablespoons of chocolate syrup. Write 3 different sentences that use ratio to describe the recipe
Answer:
cool good me hungry i am kinda hungry
Step-by-step explanation:
How can I use a tutor?
Answer
x = 3 ± i
x = (3 + i)
OR
x = (3 - i)
Explanation
To solve this, we need to note that √(-1) = i
So, for this simplification
√(36 - 40) = √(-4) = √[(4)(-1)] = 2i
We can now fully simplify the expression given
\(\begin{gathered} x=\frac{6\pm\sqrt[]{36-40}}{2} \\ =\frac{6\pm2i}{2} \\ =\frac{6}{2}\pm\frac{2i}{2} \\ =3\pm i \end{gathered}\)x = 3 ± i
x = (3 + i)
OR
x = (3 - i)
Hope this Helps!!!
A country conducted a thorough evaluation of its environmental impacts and found that it is consuming resources at a 3.0 planet rate. what does this mean?
Consumption of resources at a 3.0 planet rate indicates that a country needs to reduce its resource consumption by 2/3 to be sustainable.
Humans will be benefited from two types of resources namely renewable and non-renewable resources. The former can be utilized for the long term but the latter needs to be handled carefully.
But, they are misused by humans which leads to a lack of resources for us. Common example of non-renewable resources includes natural gas, coal, oil, etc.
The consumption of resources at a given planet rate indicates the rate of utilization of resources. With the increased consumption of resources, pollution on the planet increases. It is accompanied by numerous health issues.
It additionally requires alternatives to the resources that we will consume completely.
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Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3100. Assume that the standard deviation is $1200.
a. What is the z-score for a backyard structure costing $2300?
b. What is the z-score for a backyard structure costing $4900?
c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier.
d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain.
The z-score is a measure of how many standard deviations a data point is from the mean. It can be calculated using the formula
z = (x - μ) / σ,
where x is the data point, μ is the mean, and σ is the standard deviation.
a. The z-score for a backyard structure costing $2300 can be calculated as follows:
z = (2300 - 3100) / 1200 = -800 / 1200 = -0.67
b. The z-score for a backyard structure costing $4900 can be calculated as follows:
z = (4900 - 3100) / 1200 = 1800 / 1200 = 1.
c. The z-score in part (a) is -0.67, which means that the backyard structure costing $2300 is 0.67 standard deviations below the mean. The z-score in part (b) is 1.5, which means that the backyard structure costing $4900 is 1.5 standard deviations above the mean. Neither of these z-scores are extreme enough to be considered outliers, as they are both within 2 standard deviations of the mean.
d. The z-score for the backyard shed-office combination costing $13,000 can be calculated as follows:
z = (13000 - 3100) / 1200 = 9900 / 1200 = 8.25
This z-score is much larger than 2, which means that the structure costing $13,000 is more than 8 standard deviations above the mean. This is an extreme value and should be considered an outlier.
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let f be the function defined by f(x)=2x 3e−5x, and let g be a differentiable function with derivative given by g′(x)=1x 4cos(5x). it is known that limx→[infinity]g(x)=[infinity]. the value of limx→[infinity]f(x)g(x) is
a. 0
b. 1/2
c. 1
d. none existent
Thus, the value of limit(x→∞) f(x)g(x) is 0, which corresponds to answer choice (a). 0
Given the functions f(x) = 2x * 3e^(-5x) and g'(x) = (1/x) * 4cos(5x), we are asked to find the value of lim(x→∞) [f(x)g(x)].
Since lim(x→∞) g(x) = ∞, we can use L'Hôpital's rule to evaluate the limit of the product f(x)g(x) as x approaches infinity.
To apply L'Hôpital's rule, we need to find the derivatives of both f(x) and g(x). We already have g'(x). Now let's find f'(x).
f'(x) = d/dx [2x * 3e^(-5x)] = 2 * 3e^(-5x) - 10x * 3e^(-5x) (by applying product and chain rule)
Now, let's apply L'Hôpital's rule:
lim(x→∞) [f(x)g(x)] = lim(x→∞) [f'(x)g'(x)]
Since both f'(x) and g'(x) go to 0 as x approaches infinity, the limit can be evaluated as:
lim(x→∞) [f'(x)g'(x)] = 0
Therefore, the value of lim(x→∞) f(x)g(x) is 0, which corresponds to answer choice (a).
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36. MAKING AN ARGUMENT Your friend claims that a rectangle with the same perimeter as QRS will have the same area as the triangle. Is your friend correct? Explain your reasoning.
Answer: no; A 1 X 5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friends statement is not correct
PLS HELP I'LL DIRECTLY MARK YOU BRAINLIST !!!
Answer:
\(12 \div \frac{3}{4} = 12 \times \frac{4}{3} = 12 \times 4 \div 3 = 4 \times 4 = 16 \\ 16 \times 5 = 80 \: ft \: \)
first you must know how many 3/4 do you have
because of scale
and after that multiply to 5 to get actual length
Flavio is driving along a highway at a speed of 30 meters per second. If Flavio drives for 2 hours at this speed, how many miles
will he travel? Round to the nearest whole number. (1 point)
A.60
B.134
C.67
D.37
Answer:A.60
Step-by-step explanation:
Answer:
b.134
Step-by-step explanation:
1609 meters in every mile
30x60=1800 meters in one minute
1800x60=108,000 meters every hour
108,000x2=216,000 divide that by 1609 .216,000 divided by 1609=134.2449
anyone know how to solve this please?
Answer:
y = √55
Step-by-step explanation:
from the Euclidean theorem
y^2 = CB × AC
y^2 = 5 × 11
y^2 = 55
y = √55
Explain how you can use equivalent fractions to find the quotient of 2÷3÷4.
Answer:
Just to let you know this is from another user on brainly i found before THIS IS NOT MT INFO
Step-by-step explanation:
2/3 ÷ 4
¨We use copy dot flip
The flip means make a reciprocal of the second number
2/3 * 1/4
Multiply the numerators
2*1 = 2
Multiply the denominators
3*4 =12
Put the numerator over the denominator
2/12
Simplify
1/6¨
Answer:
1/6
Step-by-step explanation:
You find a fraction that is equal 2/3 and has a multiple of 4 for the numerator. Then you have to multiply the numerator and the denominator by 2 then you get 4/6 divided by 4, since 2/3 is equal to 4/6. So the answer is 1/6.
- I wrote this myself so don't worry and I know this is the right answer! :)
What is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}
{x|x = -4,-1, 3, 5, 6}
Oyly=-2, 0, 1, 4, 9}
O {x|x = -4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
Oyly=-4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
h
Answer:
A
Step-by-step explanation:
the domain are the value on the x coordinate
i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}
The area covered by a lake is 11 square kilometers. it is decreasing exponentially at a rate of 2 percent each year and can be modeled by . by what factor does the area decrease in 10 years?
Answer:
67b
Step-by-step explanation:
if 60 is equal to the given value, add 7 equals 67b
students in a large statistics class were randomly divided into two groups. the first group took the midterm exam with dave matthews band playing in the background while the second group took the exam with death cab for cutie playing in the background. the scores of the two groups on the exam were compared. what is the explanatory variable in this experiment?
The response variable in this experiment is the scores on the midterm exam. The response variable is the one that is measured or observed to determine whether it has been affected by the explanatory variable.
What is variable?The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.
The explanatory variable in this experiment is the type of music played in the background during the exam. The explanatory variable is the one that is deliberately manipulated or changed by the researcher in order to observe its effect on the response variable. In this case, the researcher wanted to investigate whether the type of music played during the exam would have an effect on the students' performance, so they manipulated the type of music and observed its effect on the exam scores.
The response variable in this experiment is the scores on the midterm exam. The response variable is the one that is measured or observed to determine whether it has been affected by the explanatory variable. In this case, the researcher measured the exam scores of the two groups to see if there was a difference between the group that listened to Dave Matthews Band and the group that listened to Death Cab for Cutie.
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Simplify each of the following:
a) root25 + root50 - root24 + root49
b) root2(2root8 – 3root32 + 4roor50)
Show your work
Answer:
a)
√25 + √50 - √24 + √49 =5 + 5√2 - 2√6 + 7 = 12 + 5√2 - 2√6b)
√2(2√8 – 3√32 + 4√50) =2√16 - 3√64 + 4√100 = 2*4 - 3*8 + 4*10 = 8 - 24 + 40 = 24Answer:
a.) 12 + 5√2 - 2√6
b.) 24
Step-by-step explanation:
a) √25 + √50 - √24 + √49
√25 + √50 - √24 + √49Calculate the square root .
5 + √50 - √24 + 7Simplify the radical expression.
5 + 5√2 - 2√6 + 7Combine like terms.
5 + 7 + 5√2 - 2√6 12 + 5√2 - 2√6b.) √2 ( 2√8 - 3√32 + 4√50 )
√2 ( 2√8 - 3√32 + 4√50 )Simplify the radical expression.
√2 ( 4√2 - 3 × 2²√2 + 20√2)Evaluate the power.
√2 ( 4√2 - 3 × 4√2 + 20√2)Calculate the products.
√2 ( 4√2 -12√2 + 20√2)Combine like terms.
√2 × (4 - 12 + 20 )√2√2 × 12 √ 2Multiply.
2 × 12 24The US Navy is conducting a submarine training. The older model submarine can dive down 3 feet per minute. Betty Kay records that after 45 minutes into the training exercise the submarine is 155 feet below sea level. Write an equation in slope intercept form to model this situation.m= ___Given points (__,__)Equation y=__x + __)
The Slope-Intercept form of the equation of a line, is:
\(y=mx+b\)Where "m" is the slope of the line and "b" is the y-intercept.
According to the information given in the exercise, you know that The older model submarine can dive down 3 feet per minute. Then, you can identify that:
\(m=3\)Let be "y" the location of the submarine (in feet) and "x" the number of minutes.
You can identify that the line passes through this point:
\((45,155)\)Knowing the slope of the coordinates of a point on the line, you can find "b":
\(\begin{gathered} y=mx+b \\ 155=3(45)+b \\ 155=135+b \\ 155-135=b \\ b=20 \end{gathered}\)Therefore, knowing "b" and "m", you get that the equation of the line in Slope-Intercept form that models this situation, is:
\(y=3x+20\)How do you find the measure of an angle in a triangle isosceles?
To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other. The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.
Determine which two sides of the triangle are equal in length (these are called the "congruent sides").
Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."
Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).
For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.
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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.
Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.
In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.
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WILL MARK BRAINIEST!!! 25 POINTS!!!! PLZ SHOW WORK IF POSSIBLE!! The number of children in each family on a particular city block is shown in the dot plot: Which histogram represents the dot plot data?
Answer:
see below
Step-by-step explanation:
There are 4 dots in categories 0 and 1; 9 dots in categories 2 and 3; and 2 dots in categories 4 and 5. The histogram with bar lengths 4, 9, and 2 is the appropriate choice.
the probability of winning the grand prize at a particular carnival game is 0.005. is the outcome of winning very likely or very unlikely?
The grand prize is very unlikely, as it occurs less than 5% of the time. This means that a participant is not likely to win the grand prize in the carnival game, and should not expect to win based on the low probability of success.
The probability of winning the grand prize at a particular carnival game is 0.005.
To determine whether the outcome of winning is very likely or very unlikely, we need to compare this probability to a benchmark or reference point.
One possible reference point is the commonly used threshold of 0.05, which corresponds to a significance level of 5% in statistical hypothesis testing.
The probability of winning is greater than 0.05, then we can say that winning is very likely, as it occurs more than 5% of the time.
Conversely, if the probability of winning is less than 0.05, we can say that winning is very unlikely, as it occurs less than 5% of the time.
The probability of winning the grand prize is 0.005, which is less than the threshold of 0.05.
We can conclude that winning the grand prize is very unlikely, as it occurs less than 5% of the time.
This means that a participant is not likely to win the grand prize in the carnival game and should not expect to win based on the low probability of success.
Probability alone does not determine the outcome of an event.
The probability of winning the grand prize is low, it is still possible to win with a stroke of luck or by playing the game multiple times.
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The outcome of winning the grand prize at a particular carnival game with a probability of 0.005 is very unlikely.
The probability of an event is a measure of how likely the event is to occur, and it ranges from 0 to 1. If the probability of an event is close to 0, it means that the event is very unlikely to occur, while a probability close to 1 means that the event is very likely to occur.
In this case, the probability of winning the grand prize is 0.005, which is very low. This means that out of 1000 attempts, it is expected that only 5 attempts will result in winning the grand prize.
Therefore, winning the grand prize is a rare occurrence and can be considered a very unlikely outcome.
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What is the GFC of 15 and 57. Plz tell me I need help
Step-by-step explanation:
3
Graph y = 3/5 x - 4.
Then, translate it up 5 units.
Write the equation of the resulting line.
Answer:
y=3/5x + 1
Step-by-step explanation:
It says to translate UP 5 units, meaning the constant of -4 is the one being affected. The translation of 5 units is +5 on the graph, so -4+5=1. Everything else should be the same if i'm correct so y=3/5x + 1 is the answer
the car is traveling along the road with a speed of v=(2s) m/s, where s is in meters.
The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.
In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.
We have to determine the tangential and normal components of the acceleration when s = 10 m.
Speed (v) = 2s
Motion is circular so, Radius of circle = 50m
Tangential acceleration = dv/dt
Tangential acceleration = d(2s) / dt
Tangential acceleration = 2(ds)/dt
Tangential acceleration = 2v
Tangential acceleration = 2(2s)
Tangential Acceleration = 4s
As given s = 10 m
Tangential acceleration = 4 x 10
Tangential acceleration = 40 m/s^2
Normal acceleration = v^2/ r
Normal acceleration = 4s^2/r
Normal acceleration = {4 x 10^2}/50
Normal acceleration = {4 x 100}/50
Normal acceleration = 400/50
Normal acceleration = 8 m/s^2
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The complete question is:
A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle