The value of x is 32.
The value of y is 96.
What are vertically opposite angles?
Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting at that point.
What are consecutive interior angles?
The pairs of angles on the same side of the line cutting through two lines are said to be consecutive internal angles.
The angles y and 3x are vertically opposite angles and hence they are equal.
So, y=3x
The angles y and 2x+20 are the consecutive interior angles. So, they add up to 180.
Thus,
y+2x+20=180
Substitute y=3x
3x+2x+20=180
5x+20=180
Move 20 to the right side
5x=180-20=160
x=160/5=32
So, the value of x is 32.
Now, we have y=3x
substitute x=32
y=3(32)=96
So, the value of y is 96.
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What is the value of x in l-16l = x
Answer: |-16| =x
- (-16)= x
x = 16
Step-by-step explanation:
thank you
In general, what would every child function have in common with the parent function f (x)= x?
Step-by-step explanation:
If f(x) =x, is the father function, then all it's child function would be equally inclined to x and y-axis respectively.
If f(x) =x, is the father function, then all its child functions would be equally inclined to the x and y-axis respectively.
How is each function in a family related to the parent function?Each family of capabilities has a determining feature. A discern function is the best function that also satisfies the definition of a certain sort of function. As an instance, whilst we think about the linear capabilities which make up our own family of capabilities, the parent feature could be y = x.
What key attributes are common among parent functions?Key commonplace points of linear determine features encompass the reality that the equation is y = x. Domain and variety are actual numbers. Slope, or fee of alternate, is steady.
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Solve by factoring.
4m2−3m−27=0
Answer:
\(m = 3 m = - \frac{9}{4} \)
Step-by-step explanation:
correct me if I'm wrong
I WILL GIVE BRAINLIEST
What is the height of the plant if less than 3 weeks have passed? Express your answer as an inequality in terms of h.
(look at photo)
Answer:
The height of the plant is less than 10 centimeters if less than 3 weeks have passed.
Step-by-step explanation:
If less than 3 weeks have passed, then the value of t is less than 3. We can express this as t < 3.
Using the formula h = 3t + 1, we can substitute t < 3 to get:
h = 3t + 1 < 3(3) + 1
h < 10
In a sample of 41 water specimens taken from a construction site, 23 contained detectable levels of lead.
A 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is 0.409
Answer:
drippy pen iss
Step-by-step explanation:
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clothing that costs $180? (3 points)
Answer:
10.80
Step-by-step explanation:
Sales price x sales tax rate = sales tax
180 x .06 (6%) = 10.80
The amount of sales tax for the clothing that costs $180 is $10.8.
Given that,
Cost of a clothing = $180
We have to find the sales tax amount.
Sales tax is calculated as a percentage of the sales price.
Here,
Sales tax percentage = 6%
In order to find the actual sales tax amount, we have to multiply the cost with the percentage of sales tax.
Sales tax amount = 6% of 180
= (6/100) 180
= 0.6 × 18
= 10.8
Hence the sales tax amount is $10.8.
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Find the limit of the difference quotients for f(x) = x2+2x+1 if a= -1
The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.
To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:
lim(x→-1) [f(x) - f(-1)] / (x - (-1))
First, let's substitute the values into the expression:
lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)
Simplifying further:
lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)
lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)
lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)
Now, we can directly substitute x = -1 into the expression:
\((-1^2 + 2(-1) + 1) / (-1 + 1)\)
(1 - 2 + 1) / (0)
0 / 0
We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.
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A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
what is the value of 3n +1 when n =4
Answer:
13
Step-by-step explanation:
since n is 4 substitute it where there's n in the equation
3(4)+1
12+1
13
I hope this helps
Answer:
13
Step-by-step explanation:
so you start with the equation 3n+1
since you know n=4 then u put it in place of n making the equation 3*4+1
then you multiply and it's 12+1 which equals 13
Two aircrafts travel from the position P(30°N, 130°W) to Q (50°N, 170°E) all leaving at 0845hrs and at the same speed of 500km/hr. Aircraft A travels due north to the position (50°N, 130°W) and then along a parallel of latitude using the shortest route. Aircraft B travels along a parallel of latitude (30°N, 170°E) and then due north.
(a) If a third aircraft C had left a point R (30°N, 10°W) at the same time as the two above aircrafts left P and flew via the shortest possible distance to point Q, calculate its position when the aircraft A was passing the longitude 180°W. (b) Calculate the arrival local time of the two aircrafts. (5mks) (5mks)
(a) The time taken by aircraft C to travel the distance from R to the longitude 180°W is 25.92 hours
(b) Since aircraft A departed at 08:45 hrs, the arrival time would be:
Arrival time is 13:14 hrs
Aircraft A would arrive at approximately 13:14 hrs, and aircraft B would arrive at approximately 21:01 hrs local time.
To calculate the position of aircraft C when aircraft A was passing the longitude 180°W, we need to determine the distance and direction between R (30°N, 10°W) and Q (50°N, 170°E) via the shortest route.
Distance between R and Q:
The latitude difference between R and Q is 50°N - 30°N = 20°. As each degree of latitude is approximately 111 km, the distance in terms of latitude is 20° × 111 km = 2,220 km.
The longitude difference between R and Q is 170°E - 10°W = 180°.
At the latitude of 40°N (midpoint between 30°N and 50°N), each degree of longitude is approximately cos(40°) × 111 km = 70.7 km.
The distance in terms of longitude is 180° × 70.7 km = 12,726 km.
Using the Pythagorean , the shortest distance between R and Q is:
Distance = √((2,220 km)² + (12,726 km)²)
≈ 12,960 km
Speed of aircraft C is 500 km/hr.
The time taken by aircraft C to travel the distance from R to the longitude 180°W is:
Time = Distance / Speed
= 12,960 km / 500 km/hr
≈ 25.92 hours
Since the aircraft A and aircraft C departed at the same time, when aircraft A was passing the longitude 180°W, aircraft C would also be at the same longitude, assuming they maintained a constant speed.
(b) To calculate the arrival local time of the two aircraft, we need to consider the time taken for each leg of their respective routes.
For aircraft A:
Distance from P to (50°N, 130°W) = (50°N - 30°N) × 111 km/degree
= 2,220 km
Time taken = Distance / Speed
= 2,220 km / 500 km/hr
= 4.44 hours
Since aircraft A departed at 08:45 hrs, the arrival time would be:
Arrival time = Departure time + Time taken
= 08:45 + 4.44 hours
≈ 13:14 hrs
For aircraft B:
Distance from (30°N, 170°E) to Q = (170°E - 130°W) × cos(40°) × 111 km/degree = 6,282 km
Time taken = Distance / Speed
= 6,282 km / 500 km/hr
= 12.564 hours
Since aircraft B departed at 08:45 hrs, the arrival time would be:
Arrival time = Departure time + Time taken
= 08:45 + 12.564 hours
≈ 21:01 hrs
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I need help. Please help
Answer:
150 degrees
Step-by-step explanation:
Answer:
You need 180 degrees for a triangle so, you subtract 150 from 180.
You get 30 degrees.
Then, you subtract 30 from 180 in order to find the degree of x.
The number for x is: 150 degrees
I hope this helps ! :)
Step-by-step explanation:
A consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table below shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10a) Calculate the coefficient of variation (CV) for Brand A (1point) b) Calculate the coefficient of variation (CV) for Brand B (1 point) c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)
a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.
b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.
c) Brand B, is more consistently produces tablets as advertised.
We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :
Tablets contains the quantity of vitamin C = 500 mg
Sample mean = 250
Standard deviation = 7
For brand B :
Tablets contains the quantity of vitamin C = 250 mg
Sample mean = 500
Standard deviations = 10
Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)
= (Standard Deviation/Mean) × 100.
a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100
= 2.8%
b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100
= 2.0%
c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.
Hence, required brand is brand B.
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Complete question:
consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10
a) Calculate the coefficient of variation (CV) for Brand A (1point)
b) Calculate the coefficient of variation (CV) for Brand B (1 point)
c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)
Number two please asap
J
Step-by-step explanation:
both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)
if we take a sample of reee's pieces has 1000 pieces. the manufacturer says that exactyl 40% of the candies are organe. if we select a sample of 50 pieces, how many will be oragne. let x
If we take a sample of 50 Reece's Pieces candies, we would expect about 20 of them to be orange.
The manufacturer says that exactly 40% of the candies are orange. We can use this information to find the expected value of the number of orange candies in a sample of 50 candies.
Expected value is found by multiplying the number of trials (in this case, 50) by the probability of success (in this case, 40% or 0.40)
x = (50)(0.40) = 20 candies.
So, if we take a sample of 50 Reece's Pieces candies, we would expect about 20 of them to be orange.
It's worth noting that this is an expectation, the actual number of orange candies in the sample of 50 candies may be different from the expected value.
The correct question of the following problem is:
If a sample of 1000 Reese's Pieces contains 40% orange candies, and a random sample of 50 Reese's Pieces is selected, how many orange candies can be expected to be in the sample of 50 Reese's Pieces? Let x be the number of orange candies in the sample of 50 Reese's Pieces.
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It says mr fuller wants to put fence around his rectangular yard. The length is 75 and the width is 55.
Answer:
Step-by-step explanation:
You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?
What units are used? (Feet, yards, meters, etc.)
area of yard = 75×55 = 4125 units²
amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.
The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
The width of the rectangular yard W = 55 feet
The length of the rectangular yard L = 75 feet
Let the perimeter of the rectangular yard be = P
And , the required fencing = Perimeter of rectangular yard
Perimeter of rectangular yard P = 2 ( L + W )
Substituting the values in the equation , we get;
Perimeter of rectangular yard P = 2 ( 55 + 75 )
Perimeter of rectangular yard P = 2 ( 130 )
Perimeter of rectangular yard P = 260 feet
Therefore , the value of P is 260 feet
Hence , the perimeter of yard is 260 feet
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Complete question;Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller
I made 100 cookies this week she baked for more than three times the total she made last week how many cookies did she bake last week
Answer:
300
Step-by-step explanation:
Jessica has an account with a credit union. Her account earns 2.6% simple interest yearly. Exactly a year and a half ago, she opened her account with $900.
How much interest has she earned so far?
Answer:
$35.1
Step-by-step explanation:
2.6% of 900 = 23.4
Since it's a year and a half you might want to divide by two.
2.6/2 = 1.3
1.3% of 900 = 11.7
add them up,
23.4 + 11.7 = 35.1
It's asking for how much she EARNED not HAS in her bank account in 1.5 years. So include what she earned with interest, do not include the 900 dollars because she didn't earn it with interest, she already had that.
What is the fraction and mixed number for this decimal 0.5
Answer: 1/2
Step-by-step explanation:
The fraction equivalent of 0.5 is 1/2.
To convert it into a mixed number, we can divide the numerator by the denominator:
1 ÷ 2 = 0 with a remainder of 1
So, the mixed number is 0 1/2.
Please help with this and don't put the wrong answer please. 30 points.
Answer:
The answer is A
Step-by-step explanation:
Please help I will give you brainliest. I need this answered ASAP please!
But I will only give you brainliest if you provide an explanation please. Here is the question: The hybrid car
powered by the combined gas
engine and electric motor
shown has a fuel economy of
46 miles to the gallon in city
driving and 51 miles to the
gallon on the highway. Suppose
you drive the hybrid car about
10,000 miles in the city each
year. If you pay $1.75 for one
gallon of gas, how much do you
pay for gas in a year?
The car gets 46 miles per gallon in the city.
Divide total miles driven in th city by miles per gallon to find total number of gallons of gas used:
10,000 miles / 46 miles per gallon = 217.3913 gallons of gas used.
Now multiply gallons used by price per gallon:
217.3913 x $1.75 = $380.43 per year
Find measure of the indicated angle
Answer:
60°
Step-by-step explanation:
it's one half of an equilateral triangle, all sides equal and angles congruent, sum is 180°, divide by three and you have 60° which is your answer.
what is the measurement of jkl
Answer:
The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.
Step-by-step explanation:
Please mark as brainliest!
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Explain why you cannot use the axes of symmetry to distinguish between the quadratic functions y=3x^2+12x+1 and y=x^2+4x+5.I'm not sure how to do this problem
Given a quadratic equation:
\(y=ax^2+bx+c\)the expression to find the axis of symmetry is:
\(x=-\frac{b}{2a}\)in this case, for the first equation, we have the following:
\(\begin{gathered} y=3x^2+12x+1 \\ axis\text{ of symmetry:} \\ \Rightarrow x=-\frac{12}{2(3)}=-\frac{12}{6}=-2 \\ x=-2 \end{gathered}\)for the second equation, we get:
\(\begin{gathered} y=x^2+4x+5 \\ \text{axis of symmetry:} \\ \Rightarrow x=-\frac{4}{2(1)}=-\frac{4}{2}=-2 \\ x=-2 \end{gathered}\)as we can see, both functions have the same axis of symmetry, that's why you cannot distinguish them. In general, several quadratic functions can have the same axis of symmetry, without being equivalent between each other.
Answer:
The axes of symmetry can be used to distinguish between the two functions because they are different. The first function has a y-intercept of (0,1), while the second function has a y-intercept of (0,5).
The equations of line s and t form a system of equations. The solution to the system of equations is located at point P. Which graph correctly shows line s, line t, and point P?
The graph that correctly shows line s, line t, and point P is graph A.
What should you know about the linear equation in question?The equation y = -x + 5 is a linear equation in slope-intercept form. In this form, y is the dependent variable, x is the independent variable, -x is the slope of the line and 5 is the y-intercept.
Knowing that;
The line's equation for s,
⇒ y = 1/3x - 3
Additionally, the line-for-t equation
⇒ y = - x + 5
Equate the two equations to obtain;
⇒ 1/3x - 3 = - x + 5
⇒ 1/3x + x = 5 + 3
⇒ 4/3x = 8
⇒ x = 8 × 3 / 4
⇒ x = 2 × 3
⇒ x = 6
And, ⇒ y = - x + 5
⇒ y = - 6 + 5
⇒ y = - 1
As a result, the lines' solution is;
P = Point P (6, - 1)
The answer provided for this question is in response to the full question and graph options in the attached file.
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Enter the number that belongs in the green box
The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:
\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)
49 = 16 + 25 - 40*cos(C)
49 = 41 - 40*cos(C)
40*cos(C) = 41 - 49
40*cos(C) = -8
cos(C) = -8/40
cos(C) = -0.2
To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:
C = arccos(-0.2)
Using a calculator, we find that C ≈ 101.54 degrees.
Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Write the sentence as an equation.
w added to 293 is 326
Answer:
let no be x
293+x=326
x=326-293=33
33 is needed to add.
interest rate 6% is:
Find x and y values that make both y = 2x – 5 Y=-2/3x+ 3 true.
-
-
Use the sketch tool if it helps you with your thinking.
Submit
Answer:
See below ↓
Step-by-step explanation:
Let's find the x and y values.
Step 1 : Equate the y expressions.
The two equations have given different values for yTherefore by equating them, we can solve for x2x - 5 = -2/3x + 3Step 2 : Convert fractions in the equation to whole numbers.
The value -2/3 is a fractionWe can make it a whole number if multiply throughout by the value of its denominator ⇒ 33(2x - 5) = 3(-2/3x + 3)6x - 15 = -2x + 9Step 3 : Bring x terms to one side and constant terms to the other.
6x + 2x = 9 + 158x = 24x = 3Step 4 : Solve for y by plugging the value of x into one of the given equations.
y = 2(3) - 5y = 6 - 5y = 1please help me with this question
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