The statement is false because parabolas can also open upwards or downwards if the directrix is horizontal. A parabola's open direction depends on the position of the directrix relative to the focus.
Explanation:The statement that "All parabolas with vertical directrix open to the left or right" is false. A parabola's orientation is determined by the position of its directrix in relation to its focus. If you have a vertical directrix, the parabola will indeed open to the left or the right, depending on the side of the directrix the focus lies. However, if the directrix is horizontal, the parabola will open upwards or downwards. To help understand this, recall that the directrix serves as a line that, in combination with the focus, defines the set of points that make up the parabola—that is, points equidistant from both the focus and the directrix. Furthermore, the equation of a parabola can change based on the orientation and position of the axis, the focus, and the directrix, as shown in various figures and equations related to parabolic motion and geometry.
Which doesn’t belong?
Answer:
The one all the way on the right
Step-by-step explanation:
Its not a actual shape and has no properties
A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a green or yellow marble? 75% 55% 20% 25%
Answer:
55%
Step-by-step explanation:
Tiffany made 1 gallon of tea.
1 gallon is 4 quarts, and 1 quart is 2 pints. Which choice equals 1 gallon?
A) 6 cups
B) 6 pints
C) 8 cups
D) 8 pints
1 gallon of tea is equal to 8 pints. Therefore, option D is the correct answer.
What is Metric System?Everything around us has a measurement value, from the amount of sugar you put in a cake to the size of a football field. Each thing is measured differently based on its length, weight, volume, or duration. With these measurements, the idea of "Metric System" is introduced.
Given that, 1 gallon is 4 quarts, and 1 quart is 2 pints.
Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Here, 1 gallon = 4 quarts
1 quarts = 2 pints
1 gallon = 4×2
= 8 pints
Therefore, option D is the correct answer.
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!!!!!HELP!!!!!
150 students in a tenth grade high school class take a survey about which video game consoles they own. 60
students answer that one of their consoles is a Playstation, 50 answer that one of their consoles is an Xbox. Out
of these, there are 20 who have both systems.
Let A be the event that a randomly selected student in the class has a Playstation and B be the event that the
student has an XBOX. Based on this information, answer the following questions.
What is P(A), the probability that a randomly selected student has a Playstation?
What is P(B), the probability that a randomly selected student has an XBOX?
What is PA and B), the probability that a randomly selected student has a Playstation and an XBOX?
What is P(A B), the conditional probability that a randomly selected student has a Playstation given that he
or she has an XBOX?
is P(A B)=P(A)? Are the events A and B independent?
Answer:
Step-by-step explanation:
Answer:
Yes and Yes
Step-by-step explanation:
Yes, events A and B are independent events
Yes, P(A | B) = P(A).
Jimmy is about to pick a marble from the jar. How likely is it that he will pick a blue marble?
Answer:
depends on how many different colors there are in the jar and how many marbles there are.
Step-by-step explanation:
4. A rectangular park has been constructed in
downtown Lilburn. The designer wants to put a gravel
walkway that cuts diagonally through the park. The
width is 8 ft and the height is 6 ft long. What is the
length of his walkway?
Answer:
10ft
Step-by-step explanation:
Think of the rectangle as two right triangles. Sides a and b on the triangle are 8ft and 6 ft. That's 8 squared + 6 squared = c squared. C is 10 ft.
The requried measure of the length of the walkway is 10 feet.
As mentioned in the question, The designer wants to put a gravel walkway that cuts diagonally through the park. The width is 8 ft and the height is 6 ft long.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
here,
As of the given condition apply Pythagoras' theorem,
length² = width² + height²
length = √6²+8²
length = √100
length = 10 feet
Thus, the requried measure of the length of the walkway is 10 feet.
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Which of the following expressions is a factor of the trinomial x^3 - x^2 - 6x l. x
II. x - 3
III. x + 2
Answer:
Both
Step-by-step explanation:
First,let's resolve the expression into factors
x^3-x^2-6x
x(x^2-x-6)
x(x^2-3x+2x-6)
x(x(x-3)+2(x-3))
x(×+2)(x-3)
Therefore,both of them are the factors of the expression
25% of what number is 39?
Answer:
156 is your answer
Step-by-step explanation:
I think hope it helps
Paul rolled a number cube. What is the probability he will roll a 5 or 6
Answer:33
Step-by-step explanation:did test
The histogram shows the number of runners who ran a given number of miles each week. How many runners ran 5–6 miles a week?
Answer:
5 runners
Step-by-step explanation:
By looking at the graph, the number of runners in the 5-6 mile category is 5.
Answer:5
Step-by-step explanation:
which answer choice shows the decimals in order from least to greatest?
A. 18.879, 18.31, 18.1, 17.899
B. 17.899, 18.1, 18.31, 18.879
C. 18.1, 18.31, 17.899, 18.879
D. 18.879, 17.899, 18.31, 18.1
Answer:
B. 17.899, 18.1, 18.31, 18.879
What is the equation of the line?
Answer:
y = 7
Step-by-step explanation:
Note how the blue line passes through y = 7 on the y-axis.
The equation of this horizontal line is simply y = 7.
For a moving object, the force acting on the object’s acceleration. When a force of 56 N acts on certain object, the acceleration of the object is 8 m/s^2. If the force is changed to 35 N, what will be the acceleration of the object?
Answer:
force
Step-by-step explanation:
Answer:
its force
Step-by-step explanation:
because i know
Help me somebodyyyyyyyy!!!! What is the area of this???
Answer:
32.4759526419
Step-by-step explanation:
If it is an equilateral triangle, that makes the height 5 * 1.5 = 7.5
That makes the base 15/sqrt(3).
That makes the area 112.5/2sqrt3 =
32.4759526419
Use what you learned in the lesson and the online content to answer the following question: Which renewable source of energy should the United States focus its research and development efforts to make this source of energy our country’s main energy source by the year 2050? Why?
Answer:
the sun
Step-by-step explanation:
Answer:
Today we have technology that allows us to capture the sun's free and unlimited energy. The United States should focus its research & development efforts to make solar energy our country's main energy source by the year 2050. Solar energy is a renewable source because of the sun, and it does not produce any waste products. We are able to use solar panels & other devices to create renewable electricity for just about anywhere. It is safer and cleaner than other resources. We should seek to do this throughout the whole country so it can help our environmental status and solve the problem of running out of limited resources.
Step-by-step explanation:
got 100% on edg2021
Which of these is a two-step equation?
A.X+9= 21
B.x = 11 + 2
C.2x+9= 21
D.x/3=9
Which algebraic expression represents the following phrase?
the square of the sum of m and 7
(m + 7)2
Om² +7
O2m + 7)
Om + 72
Answer:
(m + 7)^2
Step-by-step explanation:
The SQUARE of (The SUM of m and 7)
Let us try (The SUM of m and 7) first
(m + 7)
then try the square
(m + 7)^2
Plisss help me is a emergency
Answer:
no: 5-4+7x+1 = 7x+1
one: 5-4+7x+1 = 6x+2
infinitely many: 5-4+7x+1 = 7x+2
Draw the line and write an equation.
Line where the slope is 2, y-intercept is -1.
Complete the equation below
y=_______________
Use x as your variable.
Answer:
y = 2x - 1
Step-by-step explanation:
Slope intercept form is written as y = mx + b. Slope is m, so you substitute 2 for m. Y intercept is b, so you substitute -1 for b.
There are 4 yellow marbles, 6 green marbles, and 5 blue marbles in a jar. Event A is defined as drawing a green marble from the jar on the first draw. Event B is defined as drawing a yellow marble on the second draw.
If two marbles are drawn from the bag, one after the other without replacement, what is P(B|A) expressed in simplest form?
A)4/15
B)2/7
C)1/3
D)2/5
Answer:(a)
Step-by-step explanation:
Given
There are 4 yellow, 6 green and 5 blue marbles
We have to find [tex]P(B\mid A)[/tex] i.e. conditional probability of B given that A is occurred.
[tex]P(B\mid A)[/tex] is given by
[tex]P(B\mid A)=\dfrac{P(A\cap B)}{P(A)}[/tex]
Also A=drawing a green marble
B=drawing a yellow marble
Total no of marbles [tex]=4+6+5=15[/tex]
So,
[tex]P(A)=\dfrac{6}{15}[/tex]
similarly [tex]P(B)=\dfrac{4}{15}[/tex]
[tex]P(A\cap B)=P(A)\times P(B)[/tex]
[tex]P(A\cap B)=\dfrac{6}{15}\times \dfrac{4}{15}[/tex]
[tex]P(A\cap B)=\frac{24}{225}[/tex]
Substituting the values in the formula
[tex]P(B\mid A)=\dfrac{\frac{24}{225}}{\frac{6}{15}}[/tex]
[tex]P(B\mid A)=\frac{24}{6}\times \frac{15}{225}[/tex]
[tex]P(B\mid A)=\frac{4}{15}[/tex]
Answer:
its acttually B
Step-by-step explanation:
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced: 48
computers are produced in 4 days and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
What is theunit rate?
NEED HELP ASAP
I need answers please
Answer:
Step-by-step explanation:
10) Cos (x-y) = cos x cos y + sin x sin y
cos 4x cox 3x + sin 4x sin 3x = Cos (4x - 3x)
= cos x
11) = 2*(1² + 2) + 2*(2² + 2²)
= 2*3 + 2*(4+4)
= 6 + 2*8
= 6 + 16
= 22
12) (3) 4x² - 3x - 8 = 0
Reason:
Sum of roots = - Coefficient of x/coefficient of x² = -(-3)/4 = 3/4
Product of roots = constant / coefficient of x² = -8/4 = -2
Plz help anyone thank you
Answer:(5,-3)
Step-by-step explanation:
1/3 of the difference of 20 and 2
Answer:
the correct answer is 6
Step-by-step explanation:
hope it helps !
To find 1/3 of the difference of 20 and 2, subtract 2 from 20 to get the difference, then divide the difference by 3.
Explanation:To determine one-third of the difference between 20 and 2, we first find the difference itself, which is 20 - 2 = 18. Then, recognizing that one-third represents dividing by 3, we divide the difference, 18, by 3, resulting in 18 ÷ 3 = 6. This mathematical process illustrates the sequential steps taken to solve the problem. The method involves subtraction to identify the difference and subsequent division by 3 to find the desired fraction. This systematic approach ensures clarity in understanding the solution. Hence, one-third of the difference between 20 and 2 equals 6, demonstrating the application of basic arithmetic concepts in solving real-world problems and enhancing mathematical reasoning skills.
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GIVING BRANLIEST!!!
Which ordered pair is the solution to this system of equations?
x = 6
y - 3x = -8
Group of answer choices
(6, 10)
(10, 6)
(6, -26)
(-26, 6)
the answer is, 25+d=48
HELP FAST PLZZZZ FOR BBRAINLEST AND 50 POINTSS Which of the following algebraic expressions can be used to express the statement "five less than y squared?" 5 − 2y 2y − 5 y2 − 5 5 − y2
Answer: y² - 5
Step-by-step explanation:
Five less than y squared...
First, let’s establish the y squared.
It should look something like this:
y²
But, we know that we need 5 less than y squared.
Therefore, we know there needs to be subtraction.
I think about it this way:
When you have y squared, you need 5 less than it, or y squared - 5.
Therefore, your answer is y² - 5.
Answer:
y2 - 5
Step-by-step explanation:
Molly made a scaled copy of the following square. She used a scale factor greater than 111.What could be the side length of the scaled copy of the square?
Answer:
2 answers 27 and 50 units
Step-by-step explanation:
Factor completely and then place the factors in the proper location on the grid. 4 y^2 + 25 y + 6
Answer:
Hello There. I think the Correct answer is (4y+1)(y+6)
Step-by-step explanation:
Well I can't grid it for you, you didn't get give enough detail, however I can do the factoring.
Step-by-step explanation:
Given equation [tex]4y^{2} + 25y + 6[/tex][tex]4y^{2} + 25y + 6[/tex]
We have to write the given equation in factors form and then represent the factors on grid.
Consider the given equation [tex]4y^{2} + 24y + y + 6[/tex]
25y can be written as 24y + y , we get
⇒ [tex]4y^{2} + 24y + y + 6[/tex]
Taking 4y common from first two term and 1 common from last two term, we get,
⇒ [tex]4y(y + 6) + 1 (y + 6)[/tex]
⇒ [tex](4y + 1) (y + 6)[/tex]
Thus, factored form of given equation [tex]4y^{2} + 25y + 6 (4y + 1) (y + 6)[/tex]
Hope it helps!
From ItsNobody
The quadratic expression 4y^2 + 25y + 6 is factored by finding two numbers that multiply to 24 (product of A and C) and add up to 25 (the middle coefficient B). These numbers are 24 and 1, which leads to factoring the expression as (4y + 1)(y + 6).
Explanation:To factor the quadratic expression 4y^2 + 25y + 6, we will use the method of factoring by grouping or the AC method, where 'A' is the coefficient of the squared term and 'C' is the constant term.
Step 1: Multiply 'A' and 'C' (4 * 6 = 24) and find two numbers that multiply to 24 and add up to 'B' (the coefficient of the y term, which is 25).
Step 2: After finding the numbers 24 and 1 (since 24 * 1 = 24 and 24 + 1 = 25), rewrite the middle term (25y) as 24y + y.
Step 3: The expression now looks like 4y^2 + 24y + y + 6. Group the terms to factor by grouping: (4y^2 + 24y) and (y + 6).
Step 4: Factor out common terms from each group: 4y(y + 6) + 1(y + 6).
Step 5: Now that we have a common factor of (y + 6), the expression can be written as (4y + 1)(y + 6).
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6. What is the expected value for the
age of a randomly chosen student in
this high school?
Answer choices
15.42
15.43
15.48
15.57
Answer:
15.48
Step-by-step explanation:
multiply the age by the number of students. Add the six numbers you get and divide by 1,000 (total amount of students)
or
15,480/1,000 = 15.48
You spin the spinner twice find the probability of spinning a 3 then a 4
Answer:
X represents the total numbers on the spinner.
1 1
_ times _
X. X
Final answer:
To find the probability of spinning a 3 and then a 4, we calculate the individual probabilities of each event (1/6 each) and multiply them, resulting in a combined probability of 1/36.
Explanation:
The question asks about the probability of spinning a 3 followed by a 4 on a spinner. Assuming the spinner has equal sections numbered from 1 to 6, similar to a six-sided die, we can calculate the probability of each individual spin and then combine them to find the overall probability of the sequence happening.
The probability of spinning a 3 on the first spin is 1/6, and similarly, the probability of spinning a 4 on the subsequent spin is also 1/6. Since these two events are independent, we multiply these probabilities to find the combined probability of both events happening in sequence:
Probability of spinning a 3 then a 4 = Probability of 3 on first spin × Probability of 4 on second spin
= (1/6) × (1/6)
= 1/36
Therefore, the probability of spinning a 3 and then a 4 in two spins is 1/36.