The graph of the parabola declines through (-5, 2), (-3, 0), (-2, 0), (0, 1), (1, 2), (2, 3), (3, 5) on the x y coordinate plane represents the function.
What is a Function?A function is defined as the relation between the x and y coordinates such that no value of x maps to two values of y.
A vertical line test is a test used to determine whether the graph given is a function or not. This is a test where we draw a vertical line passing through a point x. If the graph is a function, then the vertical line will not intersects the graph at two points.
That is, no x coordinate maps to more than 1 y coordinate.
In the first graph of ellipse, the value -5 maps to two values 3 and 5. So this is not a function.
In the parabola all x values only maps to one y value. So this graph represents a function.
In the third graph, the value 3 maps to three values of y, 3, 2, and 1. So this is also not a function.
In the fourth graph, -2 maps to both 4 and 2, which also indicates that the given graph is not a function.
Hence the second graph of the parabola represents a function.
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Answer: B. X
Step-by-step explanation; I JUST DID IT(;
2x^2+8x-1=0
Solve by completing the square
Answer:
x=-4/3
Step-by-step explanation:
Evaluate.
(a - 2b)^2 when a = -4 and b = -1/2
25
9
-9
-25
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 8, b = 3, c =
Answer:
~8.5
Step-by-step explanation:
Knowledge Needed
Pythagorean Theorem:
[tex]a^2+b^2 = c^2[/tex]
Plug in 2 known values to solve.
Question
[tex]a^2+b^2 = c^2\\(8)^2 + (3)^2 = c^2[/tex]
64 + 9 = c^2
c^2 = 73
Find the square root of both sides.
[tex]\sqrt{c^2} = \sqrt{73}[/tex]
c = [tex]\sqrt{73}[/tex]
~8.5
Answer:
c = 8.5
Step-by-step explanation:
The Pythagorean theorem is
[tex]a^{2} +b^{2} =c^{2}[/tex]
Since we know a and be, we simply square them, then add those values together, and take the square root of the final value
[tex]8^{2} = 64[/tex]
[tex]3^{2} = 9[/tex]
[tex]64 + 9 = 73[/tex]
[tex]\sqrt{73} = 8.5[/tex]
c = 8.5
Washington Plastic Products pays Nancy Bell a $1710 monthly salary plus a 14% commission on merchandise she sells each month. Assume Nancy's sales were
$59,400 for last month.
Calculate the following amounts:
1: Amount of Commission
2: Gross pay
To calculate the amount of commission that Nancy Bell earned last month, we can use the following formula:
Commission = Sales * Commission Rate
In this case, the sales are $59,400 and the commission rate is 14%, so the commission is:
Commission = $59,400 * 14% = $8,356
To calculate Nancy's gross pay, we can add her salary to her commission:
Gross Pay = Salary + Commission
Gross Pay = $1,710 + $8,356 = $10,066
Therefore, Nancy earned $8,356 in commission and her gross pay was $10,066.
for a binomial random variable x, it can only takes on two possible values, 0 or 1. group of answer choices true false
for a binomial random variable x, it can only takes on two possible values, 0 or 1 is True
A binomial random variable is a discrete random variable, which means that it can only take on certain values, in this case 0 or 1. This means that the answer to the question is true. A binomial random variable is the sum of two independent Bernoulli random variables, where each Bernoulli random variable has a probability of success equal to the probability of success for the binomial random variable. This means that the binomial random variable is a summation of two Bernoulli random variables, and can only take on values of 0 or 1.
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What is the measure to the nearest hundredth of each angle of a regular polygon having seven sides?
Answer:
The measure of each interior angle of a regular polygon with 7 sides is about 128.6.
Step-by-step explanation:
hope this helps
the model shows that 1 3/5 ÷ 4/5 =2 what would happen if you divide by 2/5 instead of 4/5
What would happen is the result would increase by a factor of 2. The result of dividing the fractions will be 4.
Division of fractionsFrom the question, we are to determine what would happen if we divide by 2/5 instead of 4/5
That is,
We are to carry out the division operation
1 3/5 ÷ 2/5
Evaluating
1 3/5 ÷ 2/5
8/5 ÷ 2/5
8/5 × 5/2
= 8/2
= 4
The answer increased by a factor of 2.
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5. The two quantities A and B are inversely proportional. If A is
5 units, the value of B is 9 units. What is the value of B when
A is equal to 15 units?
Answer: 27
Step-by-step explanation:
This is a proportion.
a = 5
b = 9
So A must equal 15. In order to get that we multiply by 3. Since we did that to A, we must also do it to B; that way we keep an equal proportion.
9 x 3 = 27
we often predict the probability of an event happening in the future based on how easily we can recall a similar type of event from the past. this is known as the :
we often predict the probability of an event happening in the future based on how easily we can recall a similar type of event from the past. this is known as the availability bias
When faced with an instant choice requirement, the availability heuristic enables people to make decisions fast. When you are trying to decide, a lot of connected incidents or circumstances could pop into your head right away. You can conclude that some events are more common or likely than others as a result.
You tend to overestimate the possibility and likelihood of similar situations happening in the future and give this information more weight. When you're attempting to decide or pass judgement on the world around you, this can be useful. Would you argue, for instance, that words in the English language that start with the letter t or with the letter k are more numerous?
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Find the midrange for the data items in the given frequency distribution.
Score, x 29 30 31
Frequency, 2 3 4
The midrange for the data items in the given frequency distribution is 30.5.
What is the midrange for the data items in the given frequency distribution.?Generally, To find the midrange for the data items in the given frequency distribution, we need to calculate the midpoint of each score range. The midpoint of a range is calculated by taking the average of the lower and upper bounds of the range.
For the first score range (29-30), the lower bound is 29 and the upper bound is 30, so the midpoint is (29 + 30) / 2 = 29.5.
For the second score range (30-31), the lower bound is 30 and the upper bound is 31, so the midpoint is (30 + 31) / 2 = 30.5.
Therefore, the midrange for the data items in the given frequency distribution is 30.5.
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Which of the following is/are tautology?A. a v b → b ^ cB. a ^ b → b v cC. a v b → (b → c)D. None of theseexplain please
The logical statement [tex]$(a \wedge b) \rightarrow(b \vee c)$[/tex] is a tautology. Hence, Option B is the most appropriate answer to the given question.
A tautology is a logical statement where the conclusion is always equivalent to the premise. No matter what the individual parts are, the result is always a true statement; i.e. a tautology is always true. The opposite of tautology is either a contradiction or a fallacy.
a. let us check the first option.
[tex](a \vee b) \rightarrow(b \wedge c)=(a+b)^{\prime}+b c[/tex]
[tex](a \vee b) \rightarrow(b \wedge c)=a^{\prime} b^{\prime}+b c[/tex]
Therefore, [tex]$(a \vee b) \rightarrow(b \wedge c)$[/tex] is a contingency and not a tautology.
b. let us check the second option.
[tex](a \wedge b) \rightarrow(b \vee c)=a b \rightarrow b+c[/tex]
[tex](a \wedge b) \rightarrow(b \vee c)=(a b)^{\prime}+b+c[/tex]
[tex](a \wedge b) \rightarrow(b \vee c)=a^{\prime}+b^{\prime}+b+c[/tex]
[tex](a \wedge b) \rightarrow(b \vee c)=a^{\prime}+1+c[/tex] (since, b' + b = 1)
[tex](a \wedge b) \rightarrow(b \vee c)=1.[/tex]
Therefore, [tex]$(a \wedge b) \rightarrow(b \vee c)$[/tex] is a tautology.
c. let us check the third option.
[tex](a \wedge b) \rightarrow(b \rightarrow c)=(a+b) \rightarrow\left(b^{\prime}+c\right)[/tex]
[tex](a \wedge b) \rightarrow(b \rightarrow c)=(a+b)^{\prime}+b^{\prime}+c[/tex]
[tex](a \wedge b) \rightarrow(b \rightarrow c)=a^{\prime} b^{\prime}+b^{\prime}+c[/tex]
[tex](a \wedge b) \rightarrow(b \rightarrow c)=b^{\prime}+c[/tex]
Therefore, [tex]$(a \wedge b) \rightarrow(b \rightarrow c)$[/tex] is contingency but not a tautology.
d. let us check the fourth option.
[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=\left(a^{\prime}+b\right) \rightarrow\left(b^{\prime}+c\right)[/tex]
[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=\left(a^{\prime}+b\right)+b^{\prime}+c[/tex]
[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=a b^{\prime}+b^{\prime}+c[/tex]
[tex](a \rightarrow b) \rightarrow(b \rightarrow c)=b^{\prime}+c[/tex]
Therefore, [tex]$(a \rightarrow b) \rightarrow(b \rightarrow c)$[/tex] is contingency but not a tautology.
Hence, option B is the only example of tautology.
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Help me with this please
Answer: d = 0
Step-by-step explanation:
To solve this equation, we will isolate the variable.
7.5d = 2.5d
(7.5d) - 2.5d = (2.5d) - 2.5d
5d = 0
[tex]\frac{5d}{5}[/tex] = [tex]\frac{0}{5}[/tex]
d = 0
Elena is correct when she subtracts 2.5d from each side. Since subtraction is the inverse operation of addition, we need to subtract. 7.5d and 2.5 are both like terms, so we subtract the coefficents.
(2.4 times 10 cubed ) timez 9.5 times 10 to the power of 5
Answer: 2280000000
Step-by-step explanation: Yes, I know it is a long number, but 10 cubed = 10 x 10 x 10, which simplified, would be 100 x 10, which is 1000. So, now you do 2.4 x 1000 to get 2400. Now you take that and multiply that by 9.5. Then, you do 10 to the 5th power, which is 100000. Now, you connect it all together, to get 2280000000. Hopefully, I did it right, if not I am sorry :/
cual es la respuesta
The judgement on each of the given scenarios are as follows;
1. Yes, enough information is given to conclude that the triangles are congruent by the side-side-side SSS congruence theorem.
2. No, the information conveyed through the triangles is not enough to conclude that the triangles are congruent.
3. Yes, the two triangles given are congruent by the HL Congruence theorem.
Which congruence theorems render the triangles congruent?1. By observation: the two Triangles represented in 1. share a side and also, the two corresponding sides are congruent; it can be concluded that the two triangles are congruent.
2. Although two sides are said to be congruent in the triangles; it cannot be concluded that the triangles are congruent neither by HL nor SSS congruence theorem.
3. The two Triangles share the diagonal which is the hypothenuse of both triangles.
Additionally, one of the other side lengths of the triangles are congruent; Therefore, the triangles are congruent by the HL congruence theorem.
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IN PHOTO⬇️
PLEASE HELP!!!
$64 jacket; 20% discount
Answer:
$51.20 is the cost after a 20% reduction.
Explanation:
There are two ways that this can be determined.
First, we can find what 20% of the original $64 price is and subtract the discount from the price.
20% = 0.20
0.20 ( $64) = $12.80
$64 - $12.80 = $51.20
Or
We can say that $64 is 100% of the price and subtract the 20% meaning the sale price will be 80% of the original price.
100% = 1.00 20% = .20
$64(1.00-.20) = $64(.80) = $51.20
Find the area of these shapes!
Answer:
1) 35.07
2) 123.6
3)3.9
4) 102.83
5)97.5
6)6.93
The traight line L ha equation 5x2y=31. The point A ha coordinate (0,1). The traight line M i perpendicular to L and pae through A. Line L croe the y-axi at the point B. Line L and M interect at the point C. Work out the area of the triangle ABC
the area of the triangle ABC is found by using the formula 1/2 * (base * height). Here, the base is 0 and the height is 1. Thus, the area of the triangle ABC = 0.5.
Let x = 0, y = 1 in 5x2y = 31
31 = 0
Thus, the point B is (0, 0).
The area of the triangle ABC = 1/2 * (0 * 1) + (0 * 1) + (1 * 0) = 0.5.
The equation of line L is given as 5x2y = 31. To find the point B, we need to substitute x = 0 in the equation. Doing so, we get 31 = 0, which means that the point B lies on the y-axis at (0, 0).
Next, since the line M is perpendicular to L and passes through A, we can assume that it is a horizontal line passing through (0, 1). Thus, the point C is the point of intersection of L and M, which is (1, 0).
Finally, the area of the triangle ABC is found by using the formula 1/2 * (base * height). Here, the base is 0 and the height is 1. Thus, the area of the triangle ABC = 0.5.
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Use the graph of g(x) to complete the table.
original equations: S(p) = -200 + 50p and D(p) = 1060 - 55p
please find the equilibrium price and quantity of the two equations. I think I already set up the equation for the equilibrium price here, though no guarantee that I did it right.
Qd = 1060 - 55p = Qs = -200 + 50p
The equilibrium price is 12 and the equilibrium quantity is 400.
How to find the equilibrium price and quantity?It should be noted that on order to fund equilibrium price and quantity, we've to equate the quantity supplied and demanded. This will be:
Qd = 1060 - 55p
Qs = -200 + 50p
Qd = Qs
1060 - 55p = -200 + 50p
Collect like terms
-55p - 50p = -200 - 1060
-105p = -1260
Divide
p = 1260 / 105
p = 12
The equilibrium price is 12
Equilibrium quantity = -200 + 50p
= -200 + 50(12)
= -200 + 600
= 400
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A word problem for 4 divided by 1 1/3. Not 11/3. 1 1/3.
Answer: If your friends had 16 pizzas, the total amount of pizza sauce needed was 11/3 cups, How many pizzas could you create?
Step-by-step explanation: :D
(a) whenever hoffman rolls a first ball of a frame, the probability of making a strike is 0.5. find the probability that hoffman rolls a perfect game. (round your answers to six decimal places.)
There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5. The probability of Hoffman rolling a perfect game is 0.000779.
The probability of Hoffman rolling a perfect game is the sum of the probabilities of him rolling a strike in each of the 10 frames.
There are 10 frames, thus the probability of Hoffman rolling a strike in a single frame is 0.5.
To calculate the probability of Hoffman rolling a perfect game, we must multiply 0.5 by 10, which is equal to 0.5. This gives us a probability of 0.000779 or 0.000779 rounded to six decimal places.
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suppose we wish to test the null hypothesis that there is no association between student year in school and student opinion. under the null hypothesis, what is the expected number of strongly opposed juniors?
Under the null hypothesis, the expected number of strongly opposed juniors is 50.
The term null hypothesis refers the typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Here we have given that suppose we wish to test the null hypothesis that there is no association between student year in school and student opinion.
And we need to find under the null hypothesis, what is the expected number of strongly opposed juniors.
Here let us consider there are 100 students.
Then according to the given statement, there is no association between student year in school and student opinion.
Which refers that half of them are supported and half of them are opposed.
Therefore, the expected value is 50.
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Mrs. Morton has a special reward system for her class. When all her students behave well, she rewards them by putting 333 marbles into a marble jar. When the jar has 100100100 or more marbles, the students have a party. Right now, the jar has 242424 marbles.
Therefore, in order for them to enjoy a party, they must be rewarded a minimum of 26 extra times.
Define equation.The equals sign (=) must appear in an equation. You can think of an equation as having a left and a right side since there will be a mathematical expression on either side of it. Consider an equation to be a set of scales. Although you can use different amounts on either side, for it to be solved, each side must be equally balanced. An unknown will always be present in an algebraic equation. This is symbolized by a symbol, such x, y, or z.
Here,
Given: Given: To reward her students for good behavior, Mrs. Morton fills a marble jar with three marbles.
if there are 24 marbles in the jar. When r denotes the quantity of additional rewards for the class, then the necessary equation is 24 + 3r 100.
If we can figure it out, we'll obtain the minimum number of marbles the jar holds—24.
In order to solve the problem, take 24 away from both sides.
=> 3r ≥100 -24
=> 3r ≥76
=> r ≥76/3
=> r ≥ 25.33
=> r≈ 26
Therefore, in order for them to enjoy a party, they must be rewarded a minimum of 26 extra times.
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using the z table, determine the critical value for the left-tailed test with α = 0.02.
The critical value for the left-tailed test is −2.0537.
For a left-tailed test, when α=0.02, the critical z-value is the value on the horizontal axis of the z- or standard normal distribution curve such that the area under the curve to the left of this critical value is 0.02.
Using a standard normal distribution table,
Z-Score, also known as the standard score, indicates how many standard deviations an entity is, from the mean.
There are two z-score tables which are:
Positive Z Score Table: It means that the observed value is above the mean of total values.Negative Z Score Table: It means that the observed value is below the mean of total values.Now 0.5-α=0.5-0.02
=0.48
So 0.48 is closest in z score table is z=2.05
The left-tailed critical value always negative(-).
So, the value is -2.05.
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What is the order from least to greatest of the following: 0.6, −0.3, 3.3, and −3.5?
3.3, 0.6, −0.3, −3.5
0.6, −0.3, −3.5, 3.3
−0.3, 3.3, 0.6, −3.5
−3.5, −0.3, 0.6, 3.3
Answer:
−3.5, −0.3, 0.6, 3.3
Step-by-step explanation:
This is because negative numbers are less than positive numbers, and numbers with a smaller absolute value are less than numbers with a larger absolute value. Therefore, the smallest number in the given list is −3.5, followed by −0.3, 0.6, and finally 3.3. When we put the numbers in this order, we get the correct order from least to greatest.
If the y-intercept is 4, the point version would be written as:
( , )
If the y-intercept is 4, the point version would be written as (0,4).
What is a point?
In classical geometry, a point may be a primitive notion that models a particular location in area, and has no length, width, or thickness. In trendy arithmetic, a point refers additional typically to a part of some set referred to as an area.
Main body:
As the y-intercept is 4 , so x intercept is 0 according to which the point becomes (0,4)
as x =0 and y = 4.
hence , the point version would be written as (0,4).
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Writing equations of lines of best fit
Answer:
C
Step-by-step explanation:
A wagon is being pulled by a 300-pound force that makes a 30° angle with the ground. what are the horizontal and vertical components of the force vector? a. the horizontal is 150 pounds, and the vertical is 260 pounds.b. the horizontal is 260 pounds, and the vertical is 150 pounds. c. the horizontal is 346 pounds, and the vertical is 600 pounds.d. the horizontal is 600 pounds, and the vertical is 346 pounds.
Answer: B
Step-by-step explanation: TRUST
The horizontal component of the force vector is 260 pounds, and the vertical component is 150 pounds. (Option B).
How to Solve for the Component of the Force Vector?To find the horizontal and vertical components of the force vector, we can use trigonometry. The horizontal component is the force acting in the direction parallel to the ground (x-axis), and the vertical component is the force acting in the direction perpendicular to the ground (y-axis).
Given that the force is 300 pounds and makes a 30° angle with the ground, we can calculate the components as follows:
Horizontal component (F_horizontal) = Force * cos(angle)
Vertical component (F_vertical) = Force * sin(angle)
Inserting in the values:
Horizontal component (F_horizontal) = 300 pounds * cos(30°)
Vertical component (F_vertical) = 300 pounds * sin(30°)
Now, let's calculate:
Horizontal component (F_horizontal) = 300 pounds * 0.866 (rounded to 3 decimal places, cos(30°) ≈ 0.866)
F_horizontal ≈ 259.8 pounds
Vertical component (F_vertical) = 300 pounds * 0.5 (rounded to 3 decimal places, sin(30°) ≈ 0.5)
F_vertical ≈ 150 pounds
Therefore, the required components of the force vector are approximately 260 pounds and 150 pounds.
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Frank has white and blue bulbs with the ratio of 3:5. It has 45 white bulbs. He wants to change the ratio of white and blue bulb to 1:3. He will keep the same total number of bulbs. How many MORE blue bulbs will there be now?
Using the concept of ratios, there is 15 more blue balls
What are RatioThe ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.
The ratio of white to blue balls is 3:5
The number of white bulbs is 45
let's calculate the number of blue balls to determine the total number of balls.
3 + 5 = 8;
(3 / 8) * x = 45
3x = 45 * 8
3x = 360
x = 360 / 3
x = 120
The total number of balls is 120.
The number of blue balls ;
5/8 * 120 = 75
To change ratio to 1 : 3 in respect to white and blue balls;
1 + 3 = 4
The number of blue balls can be calculated as;
3 /4 * 120 = 90
The number of blue balls now is 90 balls
There will be 90 - 75 = 15 balls
There's 15 more blue balls
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