Answer:
A. XM and XN
Step-by-step explanation:
Because they are opposite of each other on the same line.
XM and XN are opposite to one another.
What is a ray?Rays are lines that have only one end point.
How to tackle the problem?Observe the below-given figure to understand the answers.
The redline PQ has two rays XP and XQ which are opposite to one another, they have opposite directions and are parallelly opposite to each other.
Similarly, the black line MN has two rays XM and XN opposite to one another. they have opposite directions and are parallelly opposite to each other.
So, from the given options only one option is true which is
A. XM and XN are opposite one another.
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A triangle is inscribed in a rectangle, as shown below. What is the area of the shaded region?
option C
47.5 cm²
hope it helps...!!!
there are 5 major sea islands in the queen elizabeth islands of canada that you are interested in visiting. there are 12 major lakes in saskatchewan, canada that you would also like to visit. (a) if you are planning a trip to visit one of these islands, followed by one of these lakes, how many different trips could you make?
The person can make 60 trips.
Let us say that A indicates the major sea Islands and B indicates the major lakes. Taking both the cases as events, we will use multiplication principle. Based on the information, the event A occurs in m ways and the event B will occur in n ways. So, the two events will occur in m×n ways.
Thus, A × B = 5 × 12
Performing multiplication on Right Hand Side of the equation to find the number of trips
Total number of trips = 60
Hence, there are 60 trips that could be made.
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HELP ME PLEASE!!!!! FAST ASAP HELP
PICTURE ATTACHED
A company logo is made up of a desire and two identical triangles as shown in this image
What is the area of the logo
The area of the logo is given as 139 cm
How to solve for the areaIn order to get the area of the shape, i would have to get the area of the triangles first
area of a triangle = 1/2 b * h
base = 9 / 2 = 4.5
h = 6
area = 1/2 * 9 * 6
= 27
Area of 2 triangle = 2 x 27
= 58
The are aof the square = a * a
= 9 * 9
= 81
The total area of the logo is given as 81 + 58
= 139 cm
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Which relation is a function?
The required, relation shown in graphs A and D is functions.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The curves shown in graphs B and C are not functional, as both graphs consist of only one variable.
While curve shown in graph A and D are function because it shows the relationship between two variables x and y.
Graph A shows, Absolute value function,
Graph D shows the quadratic function.
Thus, the Relation shown in graphs A and D is functions.
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Someone pls help me asap
Answer:
2/3
Step-by-step explanation:
If the denominators (bottom numbers) of the fraction are the same, just add the numerators (top numbers) together.
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in
function notation with x as the independent variable?
YUX) = 6x+9
10 = x+
10 = 6 +9
Answer:
F ( x ) = ( 6 x +9 )
Step-by-step explanation:
Change to slope-intercept form y = mx + b:
y - 6x - 9 = 0
y = 6x + 9
As function notation where x is the independent variable: f(x) = 6x + 9
a new health drink has 150% of the recommended daily allowance. there is a certain vitamin this vitamin is 40 mg. How many milligrams of the vitamin are in a drink?
The numbers of milligrams of the vitamin that are in a drink is 60 milligrams.
What is the vitamin about?The recommended daily allowance (RDA) for the vitamin is 40 mg. A new health drink has 150% of the RDA.
To find out how many milligrams of the vitamin are in a drink, you can use the following formula:
(RDA) x (percentage/100) = milligrams in a drink
So,
(40mg) x (150/100)
= 60mg
Therefore, there are 60 milligrams of the vitamin in a drink.
Note that the RDA of vitamins can vary depending on age, gender, and other factors, so always consult a doctor or nutritionist before starting to consume any new supplement.
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15) Dan is putting a fence around his circular swimming pool. If the pool
has a diameter of 13.5 feet and fencing costs $6 per foot, how much will
he spend?
Answer: 2
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
You have to divide 13.5 and 6 to get your answer
1.6y+y-4/15y+1 1/6y=2 1/3
1.6y+y-4/15y+7/6y=21/3
We move all terms to the left:
1.6y+y-4/15y+7/6y-(21/3)=0
Domain of the equation: 15y!=0
y!=0/15
y!=0
y∈R
Domain of the equation: 6y!=0
y!=0/6
y!=0
y∈R
We add all the numbers together, and all the variables
1.6y+y-4/15y+7/6y-7=0
We add all the numbers together, and all the variables
2.6y-4/15y+7/6y-7=0
We calculate fractions
2.6y+(-24y)/90y^2+105y/90y^2-7=0
We multiply all the terms by the denominator
(2.6y)*90y^2+(-24y)+105y-7*90y^2=0
We add all the numbers together, and all the variables
(+2.6y)*90y^2+(-24y)+105y-7*90y^2=0
We add all the numbers together, and all the variables
105y+(+2.6y)*90y^2+(-24y)-7*90y^2=0
Wy multiply elements
-630y^2+105y+(+2.6y)*90y^2+(-24y)=0
We get rid of parentheses
-630y^2+105y+(+2.6y)*90y^2-24y=0
We add all the numbers together, and all the variables
-630y^2+81y+(+2.6y)*90y^2=0
Hoped this helped :)
What literary devices are used in The Importance of Being Earnest?
Oscar Wilde mocks upper-class Victorian society in "The Importance of Being Earnest" by using the literary devices of irony and hyperbole to a humorous effect.
What is The Importance of Being Earnest?
Oscar Wilde wrote a play titled The Importance of Being Earnest, A Trivial Comedy for Serious People.
It is a farcical farce that was first presented on February 14, 1895, at the St James's Theatre in London.
The characters maintain false personae to avoid onerous social duties.
The play's main themes, which are based on late Victorian London social customs, are the triviality with which it treats institutions as important as marriage and the satire that results.
In "The Importance of Being Earnest," Oscar Wilde employs the literary devices of irony and hyperbole to hilarious effect as he criticizes upper-class Victorian society.
Therefore, Oscar Wilde mocks upper-class Victorian society in "The Importance of Being Earnest" by using the literary devices of irony and hyperbole to humorous effect.
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an srs of 24 students at uh gave an average height of 5.4 feet and a standard deviation of .1 feet. construct a 90% confidence interval for the mean height of students at uh.
The confidence interval for the mean height of the students is
(21.46 , 26.54).
Subtract 1 from your sample size. 24 – 1 = 23.
Now, we have 23 as a degrees of freedom.
Now, Subtract the confidence level from 1, then divide by two.
(1 – 0.9) / 2 = 0.05
Using the t-distribution table.
for df = 23 we have 2.306
Now, 5.4 / √(24) = 1.10
2.306 × 1.10 = 2.54
So, the lower end of the range be,
24 – 2.54 = 21.46
and the upper end of the range be,
24 + 2.54 = 26.54
So, the confidence interval for the mean height of the students is
(21.46 , 26.54).
Hence, the confidence interval for the mean height of the students is
(21.46 , 26.54).
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HURRY!!! NO SPAM!!!! I WILL MARK BRAINLIEST IF YOU GET IT CORRECT!!!
Which function should be used to when evaluating the function at x = −5?
Answer:
the first one
Step-by-step explanation:
x = -5 which is smaller than 3
a random sample of 150 people was taken. 98 of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 57%. [r] refer to exhibit 9-6a. at the 0.1 level of significance, what conclusion do you draw? group of answer choices
At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.
we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98 determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.
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Name the property shown and explain
in a complete sentence supporting
your answer choice.
a (b + c) = ab+ac
what is the LCM of 4489
Answer:
plz mark me brainliest
Step-by-step explanation:
thanks for question
Find the value of x for which p is parallel to q (9x+8)
please help me with this question
In engineering, equilateral triangles can support the most weight and so are commonly found in the design of bridges and buildings. Equilateral triangles are triangles with three congruent sides and three congruent angles. What are the measures of the angles of an equilateral triangle?
Answer:
Hey mate....
Step-by-step explanation:
This is your answer....
Yes, because a equilateral triangle has 3 equal angles. The 3 angles of a triangle equal 180°. So if the angles are all equal in an equilateral triangle, we do 60 times 3 which equals 180°.
hope it helps you,
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Find the radius of the circle 615.8 square inches
Answer:
r is around 14 in
Step-by-step explanation:
615.8* pi*r^2
hope this helps! :)
Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?
Answer:\(x=-\frac{1}{3}, 4\)
Step-by-step explanation:
Graphs intersect the x-axis where y=0, so we can set f(x)=0.
\(3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4\)
Answer:
negative x intercept is at -1/3
positive x intercept 4
Step-by-step explanation:
According to this partial W-2 form, how much money was paid in FICA taxes? A. $418.53 B. $1789.87 C. $1906.86 D. $2208.10
We can see here that according to the partial W-2 form, the money that was paid in FICA taxes is: B. $1789.87.
What are taxes?Governments impose taxes as obligatory financial charges or levies on citizens, businesses, and other organizations to pay for public expenses and fund government operations.
FICA taxes are comprised of Social Security and Medicare taxes.
The Social Security tax rate is 6.2% and the Medicare tax rate is 1.45%. The total FICA tax rate is 7.65%.
The breakdown of the FICA taxes paid:
Social Security tax: $1430.20
Medicare tax: $359.67
Total FICA taxes: $1789.87
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PLEASE HELPPPPPPPPP ASAPPPP !!!!
Answer:
I think x=7 again i'm not sure
Step-by-step explanation:
71 +64 =135
135-180=45
(8x-11)=45
8x=56
x=7
PLEASE HELP!!
Find the domain of the graphed function.
Answer:
A
Step-by-step explanation:
Recall that domain is simply the span of x-values a graph covers.
From the graph, we can see that the graph only covers x-values less than or equal to zero. Our x-values never cross and go beyond x = 0.
Therefore, our domain is all values less than or equal to 0.
As an inequality, this is:
\(x\leq 0\)
In conclusion, our answer is A.
Answer: Choice A. \(x \le 0\)
x can be any number smaller than 0, or it can be equal to 0 itself.
This is because the furthest to the right we can go is at x = 0. This endpoint is included due to the filled in circle at the endpoint.
There is no left boundary, so the graph goes on forever toward negative infinity.
We can say \(-\infty < x \le 0\) but it's easier to say \(x \le 0\)
The domain in interval notation would be \((-\infty, 0]\). The square bracket says "include this endpoint". The curved parenthesis means "exclude this endpoint". We cannot reach either infinity, so we always use a curved parenthesis with either infinity.
As implied, the domain is the set of all possible x values of a function. The range is the set of all possible y values.
A) Use implicit differentiation to find the derivative
y1 for 12y³-6x^2=5
b) Find y’ at x=2 and y=3
\( y' \) at \( x = 2 \) and \( y = 3 \) is \( \frac{{2}}{{27}} \).
(a) To find the derivative \( y' \) using implicit differentiation, we differentiate both sides of the equation \( 12y^3 - 6x^2 = 5 \) with respect to \( x \).
Differentiating \( 12y^3 \) gives \( 36y^2 \frac{{dy}}{{dx}} \) using the power rule. Differentiating \( -6x^2 \) gives \( -12x \) using the power rule. The derivative of a constant, 5, is 0.
So, our equation becomes \( 36y^2 \frac{{dy}}{{dx}} - 12x = 0 \). Rearranging this equation, we can solve for \( \frac{{dy}}{{dx}} \):
\[ 36y^2 \frac{{dy}}{{dx}} = 12x \]
Dividing both sides by 36y^2 gives:
\[ \frac{{dy}}{{dx}} = \frac{{12x}}{{36y^2}} = \frac{{x}}{{3y^2}} \]
Therefore, the derivative \( y' \) is \( \frac{{x}}{{3y^2}} \).
(b) To find \( y' \) at \( x = 2 \) and \( y = 3 \), we substitute these values into the derivative expression we found in part (a).
Plugging in \( x = 2 \) and \( y = 3 \) into \( \frac{{x}}{{3y^2}} \) gives:
\[ y' = \frac{{2}}{{3(3^2)}} = \frac{{2}}{{27}} \]
So, \( y' \) at \( x = 2 \) and \( y = 3 \) is \( \frac{{2}}{{27}} \).
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The derivative y' is given by y' = x / (3y²), and at the point (x = 2, y = 3), y' = 2 / 27.
To find the derivative of y with respect to x, we can use implicit differentiation on the equation 12y³ - 6x² = 5. We differentiate each term with respect to x, treating y as a function of x.
The derivative of 12y³ is 36y²(dy/dx), the derivative of -6x² is -12x, and the derivative of 5 with respect to x is 0. Combining these terms, we get 36y²(dy/dx) - 12x = 0. Now, we can solve for dy/dx by isolating it on one side of the equation. Dividing both sides by 36y², we have dy/dx = -12x / (36y²) = -x / (3y²).
To find y' at the point (x = 2, y = 3), we substitute these values into the derivative expression. Substituting x = 2 and y = 3, we get y' = -2 / (3 * 3²) = -2 / 27.
Therefore, the derivative y' of the equation 12y³ - 6x² = 5 is given by dy/dx = -x / (3y²), and at the point (x = 2, y = 3), the value of y' is -2 / 27.
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integers $a$, $b$, $c$, and $d$, not necessarily distinct, are chosen independently and at random from $0$ to $2007$, inclusive. what is the probability that $ad-bc$ is even?
If integers a, b, c, and d, not necessarily distinct, are chosen independently and at random from 0 to 2007, the probability that ad-bc is even is 10/16.
To solve the problem, we need to consider the parity of the product ad and bc separately. If both ad and bc are even, then their difference (ad-bc) is even. If both ad and bc are odd, then their difference is even as well. However, if one of ad and bc is odd and the other is even, then their difference is odd.
For ad to be even, either a or d (or both) must be even. Similarly, for bc to be even, either b or c (or both) must be even. Therefore, the probability that ad and bc are both even is the product of the probabilities that a, b, c, and d are even:
P(ad even) = P(a even)P(d even) = (1004/2008)^2 = 1/4
P(bc even) = P(b even)P(c even) = (1004/2008)^2 = 1/4
The probability that ad-bc is even is the sum of the probabilities that both ad and bc are even and that both ad and bc are odd:
P(ad-bc even) = P(ad even and bc even) + P(ad odd and bc odd)
= P(ad even)P(bc even) + P(ad odd)P(bc odd)
= 1/4 * 1/4 + 3/4 * 3/4
= 1/16 + 9/16
= 10/16
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Miriam has an 80cm length of lace that she wants to add to the sides of her rectangular blue blanket. Given this restriction, what is the maximum possible size of the blanket?
Answer:
maximum blanket size is;
21cm x 19cm
Step-by-step explanation:
Perimeter of the rectangle is;
P = 2W + 2L
Miriam has an 80cm length of lace that she wants to add to the sides of her rectangular blue blanket.
Thus;
2W + 2L = 80
Divide both sides by 2 to get;
W + L = 40
We want to find the maximum size of the blanket which is the 2 values that will give the maximum area.
Possible measurement include;
- 21cm x 19cm
- 22 cm x 18 cm
- 23 cm x 17 cm
- 24 cm x 16 cm
Looking at them all, the one with the largest area is 21cm x 19cm
Thus, maximum blanket size is;
21cm x 19cm
Simplify: 9^-3
Please help!
Answer:
Fraction form: 1/729
Decimal form: 0.00137174...
Exponent form: 3^-6
Help me plsssssss????
Answer:
CBD is 120 degrees
Step-by-step explanation:
x=30
4x30+30+30=180
Answer: 120°
Step-by-step explanation:
x + 4x + x = 180° (Since the sum of a straight line is 180°)
6x = 180°
x = 30°
To find the angle of 4x, we need to multiply 4 x 30°
120°
7 Given APHS = ACNF, find the values of x, y, and z.F(3y - 1)H (6x - 290°S36°Р115°fc(4z - 32)N
Here, we have two congruent triangles
Since they are congruent, they have similar and equal angles.
From the diagram, we can see that;
6x - 29 = 115 (They are both topmost angles of both triangles)
Solving this, we have;
6x = 115 + 29
6x = 144
divide both sides by 6
x = 144/6
x = 24°
Furthermore, we can see that;
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68/4
z = 17°
And lastly;
(3y-1) + 115 + (4z-32) = 180 ( sum of angles in a triangle)
Since z = 17, 4z - 32 will be 4(17)-32 = 68 - 32 = 36
Thus;
3y - 1 + 115 + 36 = 180
3y + 150 = 180
3y = 180 -150
3y = 30
divide both sides by 3
y = 30/3
y = 10°
x = 24° , y = 10° and z = 17°
which expression below evaluates to true if and only if the units digit (also known as the one's digit or one's place) of an integer variable x is less than 8? assume x stores a non-negative integer.
The expression that evaluates to true if and only if the units digit of an integer variable x is less than 8 is :x % 10 < 8 where % is the modulo operator that gives the remainder of x divided by 10. This expression works by extracting the units digit of x using the modulo operator and then checking if it is less than 8. If it is, the expression evaluates to true.
To evaluate the truth value of an expression, we need to first understand the conditions under which it would be true and the conditions under which it would be false. The expression in question is evaluating the units digit of an integer variable x, so we need to consider the possible values that the units digit can take.Let's start by considering the values that would make the expression true. We are told that the units digit of x must be less than 8. This means that the units digit can take on any value from 0 to 7. So if the units digit of x is any of these values (0, 1, 2, 3, 4, 5, 6, or 7), then the expression would be true.Now let's consider the values that would make the expression false. The expression only evaluates to true if the units digit is less than 8, so any value of the units digit that is greater than or equal to 8 would make the expression false. This means that if the units digit of x is 8 or 9, the expression would be false.
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6.
Can the following side measures form a triangle?
3 ft, 5 ft, 8 ft
I a) Yes
b) No
Answer:
No
Step-by-step explanation:
the sum of the two shorter sides must be greater than the longer side
(not even if it is equal to, as in this case)
Here are some formulas to see if 3 sides can make a triangle...
\(a+b>c\\b-a, a-b<c\\a+c>b\)
So a=3
b=5 and c=8
3+5=8
So no it can't.