Answer:
Step-by-step explanation:
Given function is,
f(x) = -4(x - 3)² + 1
A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.
And 4 represents that the parent function is stretched vertically by 4 units.
B). By comparing this equation with the vertex form of the quadratic function,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of parabola.
Vertex of the given parabola → (3, 1)
C). Axis of symmetry → x = 3
D). Domain of the given quadratic function → (-∞, ∞)
Range of the given function → (-∞, 1)
PLSSS HELP AND GIVE THE RIGHT ANSWER!!!!!!!!!!!!!!!!!!!
The fourth graders are having lunch in the schoolyard. Two classes of 30 students each, 2 teachers and 2 parents will be there. If 8 people sit at each table, how many tables will be needed for all the people having lunch in the schoolyard?
a) 8
b) 60
c) 64
d) 9
Answer:
8 tables
Step-by-step explanation:
2 class * 30 students + 2 teachers + 2 parents
= 64 people
64 people * 1 table/8 people = 8 tables
Mark brainliest if this helped
Mark brainliest if this helped
Step-by-step explanation:
8 tables because 30+30 =60
and 2+2=4 which is 64 and 8×8=64
Help due 30 mins....
please help!!! PLEASE
Answer:
a) height = 1.88 m
b) slide length = 2.92 m
Step-by-step explanation:
a) sin 70° = x/2
0.9397 = x/2
x = 1.88 m
b) sin 40° = 1.88/slide
0.6428 = 1.88/slide
slide = 2.92 m
Find the missing the terms of the arithmetic sequence
Answer:
1.7
Step-by-step explanation:
2.3, 3.1, 1.9, 1.7, 1.5 (-0.2)
Question 3
The time needed for surgeons to complete a specific knee surgery is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.
What is the probability that a surgery will last for more than 98 minutes?
0.0010
0.0359
0.9664
0.9641
Answer:
I would say d.im pretty sure tho
What's the surface area?
Answer:
24
Step-by-step explanation:
8 x 3 = 24
HELP PLEASEE no links
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B) equilateral triangle
E) acute triangle
Step-by-step explanation:
What is 1/4 divided by 2?
Step-by-step explanation:
1/4 ÷ 2 = 1/8 in fraction form.
Answer:
Joan is trying to get through all 275 episodes of Cheers on DVD. She's already watched 83, and she figures she can get through 4 episodes per day if she really focuses. How many days will it take her to finish the series?
A) 48 days
B) 192 days
C) 50 days
D) 68.75 days
Answer: (a)-48 days
Step-by-step explanation:
Given
Joan is watching 275 episodes of Cheers and already watched 83
She can watch 4 episodes per day
Remaining episode 275-83=192
No of days required to finish Cheers
[tex]\Rightarrow n=\dfrac{192}{4}=48\ \text{days}[/tex]
Is x=9 a solution to the equation: 50−x=30
Answer:
no the solution would be x= 20.
Step-by-step explanation:
50-x=30
-x=30-50
-x=-20
x=20
Answer:
No, x=9 it's not the right solution.
Step-by-step explanation:
Because :if x=9 the equation would be like 50-x=41 and not 30.
But in these case it's like :50-x=30
50-30=20 and not 9.
Please help very urgent
Answer:
330 degrees
Step-by-step explanation:
look at 4th quadrant of unit circle
(cos,sin)
(sqrt3/2,-1/2)=330
HELP ME PLZ!!!!! ..................................
Step-by-step explanation:
the the number on the top corner is adding zeros so 6.3 / 10/3 the answer is for that 6.30
a lorry is travelling at 13.5m/s along a stretch of road
Answer:
Proved
Step-by-step explanation:
This question is incomplete. The complete details are:
[tex]v = 13.5m/s[/tex] --- speed of the lorry
[tex]v_2 =50km/h[/tex] --- speed limit on the road
Required
Prove that the lorry is within the speed limit
To do this, we simply convert the speed of the lorry to km/h.
So, we have:
[tex]v = 13.5m/s[/tex]
[tex]1m = 0.001km[/tex]
and
[tex]1s = \frac{1}{3600}h[/tex]
So, the expression becomes:
[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]
[tex]v = \frac{0.0135km}{1/3600h}[/tex]
Rewrite as:
[tex]v = 0.0135km/h * 3600[/tex]
[tex]v = 48.6km/h[/tex]
48.6km/h is less than 50km/h (the speed limit).
Hence, the lorry is within the speed limit.
CAN SOMEONE PLEASE HELP ME?
The three sides of a triangle are n, 3n+2, and 2n+10. If the perimeter of the triangle is 48m, what is the length of each side?
Answer:
the sides are 6, 20, and 22
Step-by-step explanation:
n + 3n + 2 + 2n + 10 = 48
combine like terms:
6n + 12 = 48
subtract 12 from each side of th equation:
6n = 36
divide both sides by 6:
n = 6
the sides are 6, 20, and 22
At an airport, 79% of recent flights have arrived on time. A sample of 7flights is studied. a.Compute the mean of this probability distribution. Round to two decimal places, if needed.b.Compute the standard deviation of this probability distribution. Round to two decimal places, if needed.c.Find the probability that exactly4of the flights were on time. Round to three decimal places.d.Find the probability that lessthan 4of the flights were on time. Round to three decimal places.e.Find the probability that more than 5of the flights were on time. Round to three decimal places. f.Find the probability that at least5of the flights were on time. Round to three decimal places.g.Find the probability that no more than 5of the flights were on time. Round to three decimal places
Answer:
a. 5.53
b. 1.078
c. 0.126
d. 0.109
e. 0.549
f. 0.834
g. 0.451
Step-by-step explanation:
The percentage of the flights that arrive on time, P(x) = 79%
The number of flights in the sample, n = 7 flights
a. The mean of the probability distribution, μ = ∑x·P(x)
Therefore, we have; μₓ = n·p
μₓ = 7 × 79/100 = 5.53
b. The standard deviation, σₓ = √(n·p·(1 - p))
∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078
c. We have;
p = 0.79
q = 1 - p = 1 - 0.79 = 0.21
By binomial probability distribution formula, we have;
The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³
P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625
d. The probability of less than 4 is given as follows;
P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴
∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109
The probability of less than 4 is ≈ 0.109
e. The probability that more than 5 is given as follows;
P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549
f. The probability that at least 5 of the flight were on time is given as follows;
P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834
g. For the probability that no more than 5 of the flights were on time, e have;
P(At most 5) = 1 - P(More than 5)
∴ P(At most 5) = 1 - 0.549 ≈ 0.451.
Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
Answer:
(0,1)
Step-by-step explanation:
I put it in desmos :)
Answer:
0,1
Step-by-step explanation:
A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in
Answer:
I think that it is A. 19
Step-by-step explanation:
I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.
P=66
L=19
W=14
Sorry if I'm wrong.
I need this please help me
Answer:
s' = (3,2) t' = (2,4) u' = (1,1)
Step-by-step explanation:
can i have brainliest plz
three girls share 12000 in the ratio 2.3.7 calculate how much each girl will get
9514 1404 393
Answer:
2000, 3000, 7000
Step-by-step explanation:
The total number of ratio units is 2+3+7=12, so each stands for 1000 in the share.
The girls get 2000 : 3000 : 7000.
Which choice is equivalent to the fraction below?
5/16
O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5
Answer:
I think A
Step-by-step explanation:
But im not sure
17% off a $35 dresser
Answer:
Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars
determine which of the following pairs of fractions are equivalent.
1)4/5 and 16/20
no links or photo
Answer:
explanation
Step-by-step explanation:
just multiply the numerator and the detonator by 4 and u get 16/20
NEED HELP FAST‼️‼️
What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Geometry help!! I don’t know how to do this
9514 1404 393
Answer:
659.52 cm^2
Step-by-step explanation:
In order to find the surface area of this figure, we need to know the dimensions of the base. If we assume the base is square, then the distance from its center to the center of one edge is half the dimension of one side of the base.
That center-to-edge distance (x) can be found from the given dimensions using the Pythagorean theorem.
x^2 + (15.4 cm)^2 = (17 cm)^2
x^2 = (289 -237.16) cm^2 = 51.84 cm^2
x = √51.84 cm = 7.2 cm
This means the edge length of the prism base is 2×7.2 cm = 14.4 cm.
__
The total surface area of the square prism is ...
A = b^2 +2bs . . . where b is the edge length of the base, s is the slant height
A = (14.4 cm)^2 + 2(14.4 cm)(17 cm) = 659.52 cm^2
The total surface area of this square pyramid is 659.52 cm^2.
Brennan ate 2 1/4 apples.Then he ate another 1 2/4 apples the next day.How many apples did Brennan eat altogether?Write in simplest.
Answer:
UwU your welcome!
Step-by-step explanation:
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
Determine the lateral and surface area of each triangular prism
Answer:
Step-by-step explanation:
lateral surface area=(sum of sides)×height
Total surface area =2×base area +lateral area
Michael and Themba are travelling from Cape town to Johannesburg by car.They travel 30km in 18 minutes and they continue at this constant speed.how far will they have travelled in 1 hour 48 minutes
Answer:
180km
Step-by-step explanation:
1hour48mins =108mins
108÷18=6
6×30=180km
Find the circumference of the circle and round to the nearest tenth
Step-by-step explanation:
Circumference of Circle =
[tex]2\pi \: r[/tex]
given d = 19.4mi
r = 1/2d
= 1/2 x 19.4
= 9.7mi
Circumference of Circle =
[tex]2\pi(9.7) \\ = 19.4\pi \\ = 60.9mi \: (nearest \: tenth)[/tex]
18-2g=4g
Simplify !!!
Hi please help me I'm in the middle of a test and I don't want to get grounded
Answer:
8(3j-2)
Step-by-step explanation:
Answer:
A.
[tex]8(3j - 2)[/tex]