The halfway or the midpoint between Lin's home and the library is given by the coordinates M ( 2 , 4 ).
Given data ,
Let A ( x₁ , y₁ ) be the first point
Let B ( x₂ , y₂ ) be the second point
The midpoint between A and B is M ( a , b ) where
a = ( x₁ + x₂ )/2
b = ( y₁ + y₂ ) / 2
A ( -1 , 6 ) and B ( 5 , 2 )
a = ( -1 + 5 )/2
b = ( 6 + 2 ) / 2
So , the midpoint is represented by
a = 4/2 = 2
b = 8/2 = 4
The midpoint between Lin's home and the library is M ( 2 , 4 )
Hence , the halfway between Lin's home and the library is given by the coordinates M ( 2 , 4 ).
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Please help problem 1) and 3) theorem 8, 2 inscribed Angles Intercept Same Arc, Find the measure of the arc or angle indicated
Answer:
problem 1 is 70 and problem 3 is 100
HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
Problem situation:
Anna is at the movie theater and has $35
to spend.
She spends $9.50
on a ticket and wants to buy some snacks. Each snack costs $3.50.
How many snacks, x
, can Anna buy?
Inequality that represents this situation:
9.50+3.50x≤35
Anna can buy a maximum of 7 snacks with $35.
To determine how many snacks Anna can buy, we can set up an inequality based on the amount of money she has. Let's denote the number of snacks as x.
The cost of a ticket is $9.50, and each snack costs $3.50. Anna's total spending should be less than or equal to $35, which can be represented by the inequality:
9.50 + 3.50x ≤ 35
In this inequality, 9.50 represents the cost of the ticket, 3.50x represents the cost of x snacks, and 35 represents the total amount of money Anna has to spend.
To find the maximum number of snacks Anna can buy, we need to solve the inequality for x. Here's how we can do that:
Subtract 9.50 from both sides of the inequality:
3.50x ≤ 35 - 9.50
3.50x ≤ 25.50
Divide both sides of the inequality by 3.50:
x ≤ 25.50 / 3.50
Calculating the division:
x ≤ 7.2857
Since we can't have a fraction of a snack, we round down to the nearest whole number:
x ≤ 7
Therefore, Anna can buy a maximum of 7 snacks with $35.
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In ΔOPQ, the measure of ∠Q=90°, OQ = 24, QP = 7, and PO = 25. What is the value of the tangent of ∠O to the nearest hundredth?
Answer: 0.29
Step-by-step explanation:
OQ is the side opposite angle P, QP is the side opposite angle O, and PO is the side opposite angle Q.
This means that tangent = opposite/adjacent, the tangent of angle O is the opposite side, QP, over the length of the adjacent side, OQ. (It cannot be PO since that's the hypotenuse)
This means that the tangent of O is 7/24, which is about 0.29
Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 4 yards? Select all that apply.
A) 15 feet
B) 150 inches
C) 3 yards, 4 feet
D) 3 feet, 15 inches
E) 10 feet, 11 inches
Answer:
a and b
Step-by-step explanation:
for A just do 3*4
For B just find out what 36*4 is
slope between the points (5, 1) and (7,
-9)
Answer:
Slope : 5x
Step-by-step explanation:
Write the equation 2(x + 3 )= 2x + 6 as a system of equations
Answer:
y=2x+6
y=2x+6
Explanation:
Given the equation:
\(2\mleft(x+3\mright)=2x+6\)The equation written as a system of equations is:
\(\begin{gathered} y=2\mleft(x+3\mright) \\ y=2x+6 \end{gathered}\)Opening the bracket in the first equation gives:
\(\begin{gathered} y=2x+6 \\ y=2x+6 \end{gathered}\)Bess drew a rectangular prism that is 12 units long, 8 units wide, and 13 units tall. What is the volume of the rectangular prism? A. 109 cubic units B. 156 cubic units C. 970 cubic units D. 1,248 cubic units
Answer:
D. 1,248 cubic units
Step-by-step explanation:
the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units
Answer: D. 1,248 cubic units
Step-by-step explanation:
The formula for a rectangular prism volume is: V = Length x Width x Height.
In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.
12 x 8 x 13 = 1,248. Therefore D is correct!
Hope this helped you!
PLEASE HELP URGENT EASY PLEASE HELP PLS
The angles that are supplementary angles are ∠ONK and ∠ONP
Supplementary anglesFrom the question, we are to determine which of the given angle pairs are supplementary
Supplementary angles are angles whose measures sum up to 180°.
Supplementary angles form a straight line.
In the given diagram,
∠ONK and ∠MNP are not supplementary, they are vertically opposite.
∠ONK and ∠JKN are not supplementary, they are alternate angles.
∠ONK and ∠LKI are not supplementary, they are corresponding angles.
∠ONK and ∠ONP are supplementary, they form a straight line.
Hence, the angles that are supplementary are ∠ONK and ∠ONP
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suppose that ???? is a 3-by-3 matrix, and that {[ 1 0 5 ],[ 1 1 2 ]} is a basis for the nullspace of ????. find a nontrivial vector in the row space of a.
(a) The vector belongs to the row space of A and is nontrivial since it is not the zero vector.
(b) A is a 3-by-3 matrix and the basis for the nullspace has only 2 vectors, the rank of A is 3 (the maximum possible rank for a 3-by-3 matrix).
(c) A is invertible.
a. To find a nontrivial vector in the row space of A, we can take the transpose of the basis for the nullspace. Since the nullspace basis is given as {[1 0 5], [1 1 2]}, the nontrivial vector in the row space would be obtained by transposing one of these vectors. Let's choose the first vector [1 0 5] and take its transpose: [1, 0, 5]. This vector belongs to the row space of A and is nontrivial since it is not the zero vector.
b. The rank of a matrix is defined as the maximum number of linearly independent rows or columns. Since A is a 3-by-3 matrix and the basis for the nullspace has only 2 vectors, the rank of A is 3 (the maximum possible rank for a 3-by-3 matrix).
c. A matrix is invertible if and only if its rank is equal to its number of columns. In this case, since the rank of A is 3 and the number of columns is also 3, the rank condition for invertibility is satisfied. Therefore, A is invertible.
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I think it is the question :
Suppose that A is a 3-by-3 matrix, and that {[1 0 5 ] , [ 1 1 2 ]} is a basis for the nullspace of A. a. Find a nontrivial vector in the row space of A. b. What is the rank of A ? c. Is A invertible? Why or why not?
Evaluate 4/9-11/9 as a fraction in simplest form
Answer:13/8
Step-by-step explanation:
Answer:
-7/9
Step-by-step explanation:
4/9-11/9
We are subtracting fractions with a common denominator, so we subtract the numerators.
4-11 = -7
4/9-11/9 = -7/9
The function f(x)=x^2+2x+6 is graphed in the xy-coordinate plane shown .Based on the graph of the function ,which of the following statements are true select all that apply
Unfortunately your graph is wrong(Correct one is attached)
Correct ones are
f is increasing while x<0 f is increasing while 0<x<1f is increasing while 1<x<3Note
if you make the function y=-x^2+2x+6 then the rest two are correct
Answer:
f is increasing on the interval x < 0
f is increasing on the interval 0 < x < 1
Step-by-step explanation:
From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1
Therefore, the following are true statements:
f is increasing on the interval x < 0f is increasing on the interval 0 < x < 1Plz help ill give u brainliest I tried but cant answer pls help
Answer:
the fraction is already in its simplest form
whats 9 + 10????????????????????????????????????
21
------------------------------------------------------------------------"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman GhostBusters
is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.
Yes, the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.
The p-value is the probability of obtaining a statistic that is more or more extreme than that observed in experiment.
The p-value is calculated assuming the null hypothesis is true. Therefore, the lower the p-value, the stronger the evidence that the null hypothesis is false. That is, the lower the p-value, the stronger the evidence in favor of the alternative hypothesis.
The P-value is the observed test statistic (i.e., the data summary) that is as extreme as or more extreme than the currently observed test statistic under a statistical model that specifically assumes that the hypothesis is being tested. is the probability that It's true.
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Complete question
is the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.
A scuba diver's first dive under
water was 45.32 feet and then
he swam 41.11 feet towards
the surface of the water?
Answer:
-4.21 ft. below sea level
Step-by-step explanation:
The expression is -45.32 + 41.11, and so you are basically just doing 45.32-41.11, but the answer will be negative.
45.32-41.11=4.21, but the answer is negative, so -4.21.
(c) Add: 1010112+110102
if mating is at random and red-green colorblindness does not affect survival or fertility, what should be the proportion of color-blind women in a population when they are at hwe in which 8% of the men are color-blind? colorblind women? (you may also answer in %) show your work.
The proportion of color-blind women would be 4% as each individual has two alleles.
In a population where mating is random and red-green colorblindness does not affect survival or fertility, the proportion of color-blind women can be calculated based on the Hardy-Weinberg equilibrium (HWE) equation.
If 8% of the men are color-blind, the proportion of color-blind women in the population would be 1.6% (or 0.016).
According to the Hardy-Weinberg equilibrium, in a population with random mating, the frequencies of alleles and genotypes remain constant from generation to generation in the absence of evolutionary forces.
The equation for the HWE is p² + 2pq + q² = 1, where p represents the frequency of the dominant allele (non-colorblind) and q represents the frequency of the recessive allele (colorblind).
In this case, if 8% of the men are color-blind, it means q² = 0.08. Solving for q, we take the square root of 0.08, which is approximately 0.2828.
Since q represents the frequency of colorblind individuals (men and women combined), and women have two alleles, the frequency of color-blind women (q²) would be (0.2828)² = 0.08 (or 8%).
Converting this to proportion, the proportion of color-blind women would be 0.08/2 = 0.04 (or 4%), as each individual has two alleles.
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subtract
2×1/5−(−3×1/6)
Answer:
= 9/10
Step-by-step explanation:
- × - = +
Then:
2×1/5 = (2×1)/5 = 2/5 = 12/30
-(-3×1/6) = +(3*1)/6 = 3/6 = 15/30
Then:
2×1/5-(-3×1/6) = 2/5 + 3/6 = 12/30 + 15/30 = (12+15)/30 = 27/30
27/30 = 9/10
The creation of anxiety to decrease maladaptive behavior occurs in _____ therapy; the induction of relaxation to increase an adaptive behavior occurs in _____.
The creation of anxiety to decrease maladaptive behavior occurs in Aversion therapy; the induction of relaxation to increase an adaptive behavior occurs in Systematic desensitization.
Given,
In the question:
The question is based on fill in the blanks:
The creation of anxiety to decrease maladaptive behavior occurs in _____ therapy; the induction of relaxation to increase an adaptive behavior occurs in _____.
Let's Know:
Maladaptive Behaviour:
Maladaptive behaviors are things that you do that may shield you from changing in accordance with circumstances. Frequently found in those with social nervousness issue (SAD), maladaptive behaviors are utilized to attempt and lessen tension and dread at the time. You may accidentally build up these propensities to adapt in social and execution circumstances since it feels like they are helping you deal with your anxiety.
Now, According to the question:
The creation of anxiety to decrease maladaptive behavior occurs in _____ therapy; the induction of relaxation to increase an adaptive behavior occurs in _____.
Hence, In the first fill up :
The answer is Aversion.
In the second fill up:
The answer is Systematic desensitization.
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Find mMLK. IF YOU GIVE A LINK YOU WILL BE REPORTED.
Answer:where is the question
Step-by-step explanation:
Name the plane represented by each surface of the box.
the top
Answer:
Hello the required image is missing attached below is the missing box
answer : FHGE
Step-by-step explanation:
The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.
If my dad left when I was 3 and my mom left when I was 9 how long have I been alone if I am 16 years old
Answer:
4 years
Step-by-step explanation:
Answer:
7 years without either of them, 13 years without your father.
Step-by-step explanation:
I'm so sorry for your loss
find the two integer between which are given rational number also find their actual position on a number line 12/5
The location of 12/5 is between 2 and 3 on a number line and the number is located at 0.4 units after 2
Finding the two integers where the rational numbers is locatedFrom the question, we have the following parameters that can be used in our computation:
Number = 12/5
Evaluate the expression
So, we have
Number = 2.4
The number 2.4 is between 2 and 3
This means that the location of 12/5 is between 2 and 3 on a number line
Also, the actual position of 12/5 on a number line is that
The number is located at 0.4 units after 2
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Simply the expression below
(10-3i)(2-5i)
Answer:
7i and 3i
hope this helps <33
Answer:
Step-by-step explanation:
Use foil method
(10 - 3i) (2 -5i) = 10*2 + 10*(-5i) + (-3i)*2 + (-3i)*(-5i)
= 20 - 50i -6i + 15i²
= 20 - 50i - 6i + 15*(-1) {i² = -1}
= 20 - 50i - 6i - 15
= 20 - 15 - 50i - 6i
= 5 - 56i
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
4x+8y=40
3x-2y = 14
Answer:
14
Step-by-step explanation:
Answer:
We can start by multiplying the first equation by 3:
12x + 24y = 120
Then we can multiply the second equation by 4:
12x - 8y = 56
Now, we have:
12x + 24y = 120
12x - 8y = 56
If we subtract the first equation from the second equation:
32y = 64
y = 64/24
y = 2
Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x.
Let's use the first equation:
4x+8(2) = 40
4x+16 = 40
4x = 24
x = 24/4
x =6
So, the solution of the system of equations is x = 6, y = 2.
hey! please help i’ll give brainliest
Answer:
either c or b
Step-by-step explanation:
im so sorry im also stuck but im more leaning towards near future but im not sure! i hope that the process of elimination helped a bit at least
Answer:
In the near future.
Step-by-step explanation:
In the past it would have said was etc..
Right now, it would say "it just started"
In the far future it would have said in a few days or so.
X+ y = 4
2y-4x=2..............
Answer:
x=1
y=3
Step-by-step explanation:
x+y=4
2y-4x=2
x=4-y
2y-4(4-y)=2
2y-16+4y=2
6y=18
y=3
x=4-3
x =1
Which of the following is an exponential equation?
y = mx + b
y = a(b^x)
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) = 109; = 11P(x ≥ 120) = ___
To answer this question, we can use the standard normal distribution to find the probability for x > 120. We can proceed as follows:
1. We need to find the z-score for the given raw value of 120.
2. We know that the z-score is given by:
\(z=\frac{x-\mu}{\sigma}\)Where
• x is the raw value (x = 120).
,• μ is the population's mean. In this case, μ = 109.
,• σ is the population standard deviation. In this case, σ = 11.
Therefore, we have that the z-score is:
\(z=\frac{120-109}{11}\Rightarrow z=1\)We can see that the value for z = 1. It means that the value is one standard deviation above the mean of the population.
If we use a cumulative standard normal distribution table, and we find the value for z = 1, we will have a cumulative probability of:
\(P(z<1)=0.8413\)However, we are looking for P(z > 1). Therefore, to find this value, we can proceed as follows:
\(P(z>1)=1-P(z<1)=1-0.8413\)Therefore:
\(P(z>1)=0.1587\)We need to remember that this value of z is a "transformation" of the value 120 into the standard normal distribution.
In summary, we can say that:
\(P(x>120)=0.1587\)