The vertex of a parabola is the point at which the parabola changes direction, the vertex of y =-x² + 4 is (0, 4).
The equation for a parabola in standard form is y = ax² + bx + c. To find the vertex of y = -x² + 4, we need to use the formula x = -b/2a. In this equation, a is -1, and b is 0, so x = 0. Therefore, the vertex of y = -x² + 4 is (0, 4).
To find the vertex of a parabola, we can use the formula x = -b/2a. In this formula, a is the coefficient of x², and b is the coefficient of x. Therefore, to find the vertex of a parabola, we need to find the coefficients of x² and x and then plug them into the formula. This formula will give us the x-coordinate of the vertex, and we can then use the equation of the parabola to find the y-coordinate of the vertex. In the case of y = -x² + 4, the coefficient of x² is -1 and the coefficient of x is 0. Plugging these values into the formula, we get x = 0. We can then use the equation of the parabola to find the y-coordinate of the vertex, which is 4. Therefore, the vertex of y =-x² + 4 is (0, 4).
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A zoologist studies a population of 800 rabbits. He tags 160 rabbits at random, of which 37 have blue eyes. Based on this data, about how many rabbits in the population have blue eyes?
Answer:
185
Step-by-step explanation:
Population size = 800
Sample size = 160
Number of blue-eyed rabbit in sample = 37
The proportion of blue-eyed rabbit in the sample is :
p = number of blue eyed rabbit / sample size
p = 37 / 160 = 0.23125
Estimated number of blue eyed rabbit in population :
p * population size
0.23125 * 800
= 185
3. Find the balance of a savings account at the end of 15 years if the interest
earned each year is 6.3%. The principal is $700.
Answer:
The balance of the savings account in 15 years will be $1,750.24.
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 46. A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 53) and matching the number on the gold ball (1 through 46). What is the probability of winning the minimum award?
Answer:
[tex] \frac{10}{53 \times 46 \times 26} [/tex]
Step-by-step explanation:
The probability of matching the number drawn on the gold ball is
[tex] \frac{1}{46} [/tex]
The number of possible pairs of numbers from 1 to 53 is
[tex] \binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26[/tex]
Choosing 5 numbers, you are choosing 10 different pairs:
[tex] \binom{5}{2} = \frac{5 \times 4}{2} = 10[/tex]
Therefore the probability of correctly matching the drawn pair is
[tex] \frac{10}{53 \times 26} [/tex]
Thus, the probability of winning (matching the pair AND the gold ball) is
[tex] \frac{10}{53 \times 46 \times 26} [/tex]
help a girl out please
Answer:4
Step-by-step explanation:ts is = ed
Urgent please help..
Answer: I’m pretty sure it’s 15 cm
Step-by-step explanation:
Plz help I’m bad at math
Answer:
1 is 136, 2 is 44, annd 4 is 44
Step-by-step explanation:
what is the rate of change of y=0.5•x-2
Answer:
0.5
Step-by-step explanation:
rate of change is just a synonym for slope and the equation for slope is y=mx +b where m is the slope so 0.5=m and if m= slope then 0.5=slope=rate of change :)
9.8 ft
4f
12 ft
Find the Area of this figure
The proportional relationship between the distance driven and the amount of time driving is shown in the
following graph.
Which statements about the graph are true ?
A. The y- coordinate of point A represents the distance driven in 4 hours.
B. The distance driven in 1 hour is 80 km
C. None of the above
The distance driven in 1 hour is 80 km. Therefore, option B is the correct answer.
The given time graph shows the proportional relationship between the distance driven and the amount of time driving.
What is a distance-time graph?If an object moves along a straight line, the distance travelled can be represented by a distance-time graph. In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.
From the graph, we can see that object A moved 400 km in 5 hours time.
So, in 1 hour the distance travelled by object =400/5=80 km
Therefore, option B is the correct answer.
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find c
A. square root of 7 and 2
B. 14
C. 7
D. square root of 7 and 3
can you please help.
Answer:
3.74-a
7
2.64
4.58
Step-by-step explanation:
hope it helps please mark me as brainlist
Practice Triangle Ratios (Sides) Find the value of c. Round to the nearest tenth!
Answer:
30.6688
Step-by-step explanation:
We usually use the formula SOHCAHTOA meaning Sine = opposite side/hypotenuse Cosine = opposite side /hypotenuse then Tangent = Opposite side/Adjacent side. We then say Tan61°= x/17 to get the height as 30.6688 PS/ Hypotenuse is the slanting side of the triangle
Help please and Thanks :))
Kevin buys a shirt for $25 and a pair of jeans for $42.50. If the sales tax is 8%, what is the total price Kevin pays for the items?
Answer:
He would pay $62.10
Step-by-step explanation:
$42.50
+ $25.00
$67.50
- 8%
$62.10
Mark correct answer for wrong ones.
Except one needs to answers I haven't gotten to yet. Correct answer gets brainliest!
Answer: Can I see a better pic?
Step-by-step explanation:
Answer: D and C
Step-by-step explanation:
Simplify the following expression: (2x2+3x−4)−(4x2−7x+1)
A
−2x2+10x−5
B
2x2−4x−3
C
−8x2+21x+4
D
−2x−4x−5
A ball is dropped from a height of 180 meters. The height of the ball can be represented by
-5t2 + 180, in meters, when t represents the time in seconds since the ball was dropped.
Which expression represents the height of the ball In factored form?
A) -5(t+6)^2
B) -5(t-6)^2
C) -5(t+6)(t-6)
D) (5t-3)(80t+3)
An urn contains 8 green and 9 white balls. Six balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 6 balls drawn from the urn are white? Round your answer to three decimal places.
Answer:
The probability is 0.022
Step-by-step explanation:
Firstly, we need to get the total number of balls in the urn
mathematically, we have this as ;
8 + 9 = 17
now, the probability of selecting a white ball will be the number of white balls divided by the total number of balls
Mathematically, we have this as 9/17
Now, since the event is carried out with replacement, the probability for the six times is the same
So, we have the probability as;
(9/17)^6 = 0.022
Bobbi is maintaining a campfire. She has kept the fire steadily
burning for 12 hours with 18 logs. She wants to know how many
hours she could have kept the fire going with 9 logs. She assumes all
logs are the same. How many hours can Bobbi keep the fire going
with 9 logs?
PLEASE HELPPP!!!!
Answer:
6
Step-by-step explanation:
If she wants to go from 18, to 9, which is 1/2, then she’d have to cut the time in half as well. 12 divided by 2 is 6!
Hope this helped you!
Please help me with this
2)
Okay so because the right side is two times the length and width of the left side, we need to divide 20 and 14 by 2 which gives us 10 and 7. That means x+2 = 10 so we need to subtract 2 from each side which gives you 8. Therefore, x = 8.
20/2 = 10
10 - 2 = 8
x = 8
Which is greater 20.903 or 2.209
TELL CORRECT
Answer:
20.93
Step-by-step explanation:
20.00 > 2.00
TRAY A tray in a school cafeteria has the dimensions shown. Find the area of the tray.
Answer:
This is your answer
Mario walked 250 ft south then 430 ft west. How far is he from the starting point? Round off answers to the nearest hundredths place.
Answer:
497.39 FEET
Step-by-step explanation:
Please check the attached image for a diagram of the bearings
This question can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
we want to determine the value of c
250² + 430² = 247400
c = √247400 = 497.39 feet
PPPPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZ Help its due by end of day i relay need a good grade
Answer:
first question
AB=CD=15cm
BD=AC=8cm
Help 15 points!!
A central angle of a circle of diameter 6 cm measures 86°. What is the length of the intercepted arc?
A)
2.8 cm
B)
4.5 cm
C)
5.1 cm
D)
9 cm
Answer:
B)
4.5 cm
Step-by-step explanation:
The formula for arc length when our central angle is in degrees =
2πr(θ/360)
θ = 86°
Diameter = 6cm Radius = Diameter /2
Radius = 6cm/2 = 3cm
Hence,
Intercepted arc length = 2 × π × 3 (86/360)
= 2 × π × 3 × 0.2388888889
= 4.5029494701 cm
Approximately = 4.5 cm
Option B is the correct answer
HELP ME PLS! Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation
Answer:
the slope should represent the fee of each class
.
the vertical intercept is the membership fee
Answer:
the y-inyetcept means the starting fee to join
and the slope means fee per class paid by the customers.
Step-by-step explanation:
When 'x' is multiplied by a number inside the parentheses, it causes what type of
transformation:
What value of x makes x - 10 = -5 true?
-5
15
5
-15
Answer:
5
Step-by-step explanation:
x - 10 = -5
+ 10. +10
x = 5
hope this helps
Ana participated in a charity walk. She
raised $0.25 for each 1/2
mile that she
walked. The first day, Ana walked 11 miles.
The second day, she walked 14 miles.
How much money did Ana raise?
Answer:
if $0.25 for each mile, then $1.00 =1 mile.
so the first day would be = $1=1mile
$n=11 miles
= 1n= 11×1=$ 11
Step-by-step explanation:
and the 2nd day is = 14×1= $14.
So the answer is 14+11=$25.00
(580+393,873,532) -(353,453x4,543)÷657
Answer:
257169554605/657 or about 391430068
Answer:
1844540.13242 or 1844540 R 87
Step-by-step explanation:
(393874112 ) - (1605736979) = -1211862867 ÷ 657 = 1844540.13242
The long division work is in the image.
5x^2 + 2x - 7=0
thanks
Answer:
If you put the equation into go__ogle you will get an explanation on how to solve
Step-by-step explanation:
Answer:
(x-1) (5x+7)
Step-by-step explanation:
I factored using the berry method