Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of [tex]x^2[/tex] is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
[tex]y= -x^2 + 2x + 3[/tex]
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]
[tex]x=-\dfrac{2}{2*-1}\\x=1[/tex]
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
[tex]y(1)= -1^2 + 2(1) + 3=-1+2+3=4m[/tex]
The maximum height of the diver is therefore 4 meters.
What is the y-intercept of the line given by the equation below? y = 4/17x + 5
Answer:
(0,5)
Step-by-step explanation:
100 points. WILL MARK BRAINLIEST. EASY QUESTION
Topic: Fractions.
ONLY COMPLETE QUESTION 2
Answer:
see below
Step-by-step explanation:
2 1/2+ 3 3/16 + 7/8
Get a common denominator of 16
2 8/16 + 3 3/16 + 14/16
5 25/16
5 + 16/16 + 9/16
6 9/16
Subtract this from 8 ft
8 - 6 9/16
Borrow 1 from 8 in the form of 16/16
7 16/16 - 6 9/16
1 7/16
b 1 7/16 - 1 1/3
The common denominator is 48
1 21/48 - 1 16/48
5/48
To the nearest tenth, which is the perimeter of △ABC
Answer:
My best guess is 24
Step-by-step explanation:
idk if this is right or not, but the triangle could be a 3 4 5 right triangle.
3 x 2 = 6
4 x 2 = 8
5 x 2 = 10.
6 + 8 + 10 = 24
this is the best answer i got. Don't know if it's going to help...
Express the required calculation in terms of it and then round to the nearest tenth.
How much fencing is required to enclose a circular garden whose radius is 20 meters?
There are of fencing required.
(Simplify your answer. Type an exact answer in terms of 7.)
There are approximately
of fencing required.
(Round to the nearest tenth as needed.)
Answer:
126m
Step-by-step explanation:
The circumference of the circle would be the amount of fencing required for the circular garden.
Circumference, C = 2πr
π = [tex]\frac{22}{7}[/tex]
C = 2*20*[tex]\frac{22}{7}[/tex]
C = 125.71 m
We need 125.71 meters to fence the garden.
There are y boats on a lake there are 6 people in each boat write an expression in term of y for the total number of people in the boats
Answer:
6y people are in the boats
Step-by-step explanation:
Here, we are interested in writing an expression for the total number of people in the boats.
We have 6 people in each of the boats and there are a total of y boats.
The total number of people in the boats is thus y * 6 = 6y people
-2 1/3-(-5) can someone help me
Emery bought three cans of beans I had a total weight of 2.4 pounds each can of beans with the same amount which model correctly illustrates the relationship check all that apply
Answer:
Figure 2 and 3 are correct
Step-by-step explanation:
This question is incomplete, the figures are attached.
Number of cans of beans bought by Emery = 3
Total weight of cans = 2.4 pounds
Therefore the weight of each can = 2.4/4 = 0.8 pounds
The can be represented by the equation:
y = 0.8x, where x is the number of cans and y represents the total weight
From the graph of figure 1, weight of each can = 20/16 = 1.25 pounds. This is not correct
From the graph of figure 2, weight of each can = 8/10 = 0.8 pounds. This is correct
From the table of figure 3, weight of each can = 4/5 = 0.8 pounds. This is correct
From the table of figure 4, weight of each can = 5/4 = 1.25 pounds. This is not correct
Please help it’s worth 80 points
Answer:
D
Step-by-step explanation:
There are 2 triangles on the sides. On the bottom we have one rectangle, than we have the tilted rectangle, and the straight rectangle.
Solve for j.
–9.3j + 12.34 = –14.64 − 5.2j − 6j
So the value of j is -14.2
look at the attached picture
Hope it will help you
Good luck on your assignment
If f(x) = 3/x+2 - √x-3, complete the following statement (round to the nearest hundredth) f(7)=
Answer:
f(7) = -5/2
Step-by-step explanation:
Substituting 7 for x in f(x) = 3/x+2 - √x-3, we get:
f(7) = 3/(7+2) - √(7-3)
Note: the parentheses are required / mandatory
We get f(7) = 3/9 - 2, or 1/3 - 2, or f(7) = -5/2
write the rule for f(h(x))
Answer:
F(x) = x-7,H(x)= 2x+3,F(H(x)) = (2x + 3) -7 = 2x - 4
Step-by-step explanation:
f(x)is a function so is the others so pair all then solve :)
"What is the theoretical probability of rolling a prime number on a standard number cube?"
Answer:
There are three prime numbers and 3 even numbers on a number cube, so the probability of each is 3/6 = 1/2
Step-by-step explanation:
Probability of rolling a prime number on a standard number cube is [tex]\frac{1}{2}[/tex] or 0.5.
What is theoretical probability?The theoretical probability is defined as the ratio of the number of favorable outcomes to the number of possible outcomes.
Numbers on a cube are {1, 2, 3, 4, 5, 6}
Total number of favorable outcomes = 6
Number of prime numbers in {1, 2, 3, 4, 5, 6} are {2, 3, 5}.
Number of favorable outcomes = 3
Probability of rolling a prime number on a standard number cube
P = [tex]\frac{Number of favorable outcomes}{Total number of favorable outcomes }[/tex]
P = [tex]\frac{3}{6}[/tex]
P = [tex]\frac{1}{2}[/tex]
Hence, probability of rolling a prime number on a standard number cube is [tex]\frac{1}{2}[/tex] or 0.5.
Learn more about theoretical probability here
https://brainly.com/question/12543071
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algebra 1 : ordered pairs kinda dont get it
Answer:
Option C; 3x - y = -27 and x + 2y = 16
Step-by-step explanation:
1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.
2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.
3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ Answer: Option C
A bag contains 16 lottery balls, numbered 1-16. A ball is drawn, not replaced, then another is drawn. The events are:
independent or dependent?
Answer:
independent
Step-by-step explanation:
QUICK HELP PLS
Evaluate the questions below and select the statistical ones.
A
What is the mass of earth?
B
What is the mass of Halley's Comet?
C
How massive are asteroids in the asteroid belt?
Answer:
C
Step-by-step explanation:
A only gives one answer.(5.972 × 10^24 kg to be precise)
B It is only one thing so it has one mass, not providing a range of answers
C= There are many asteroids so a range of answers are made
Which of the following represents 3π, rounded to the nearest tenths?
Answer:
9.4
Step-by-step explanation:
pi = 3.1415...
3.1415*3 = 9.4
What is the measure of JKL? A. 60° B. 80° C. 110°D. 120 from edge 2020
Answer:
If its from the Ed assignment, it would be D. 120. Though this is a late reply.
The value of the measure of JKL is,
⇒ ∠ JKL = 120°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In the triangle JKH is,
∠ JHK = 24°
∠ HJK = 96°
Hence, We can formulate;
⇒ ∠ JKL = ∠ JHK + ∠ HJK
Substitute the given values we get;
⇒ ∠ JKL = 24° + 94°
⇒ ∠ JKL = 120°
Thus, The value of the measure of JKL is,
⇒ ∠ JKL = 120°
Learn more about the triangle visit;
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HELP PLEASE! Im struggling
Answer:
c. [tex] \dfrac{2}{3} [/tex]
Step-by-step explanation:
Let the common ratio be r.
[tex] a_2 = \dfrac{2}{5} [/tex]
[tex] a_3 = \dfrac{2}{5}r [/tex]
[tex] a_4 = \dfrac{2}{5}r^2 [/tex]
[tex] a_5 = \dfrac{2}{5}r^3 [/tex]
We are told that [tex] a_5 = \dfrac{16}{135} [/tex].
[tex] \dfrac{2}{5}r^3 = \dfrac{16}{135}[/tex]
[tex] \dfrac{5}{2} \times \dfrac{2}{5}r^3 = \dfrac{5}{2} \times \dfrac{16}{135}[/tex]
[tex] r^3 = \dfrac{8}{27} [/tex]
[tex] r = \sqrt[3]{\dfrac{8}{27}} [/tex]
[tex] r = \dfrac{2}{3} [/tex]
Answer: c. [tex] \dfrac{2}{3} [/tex]
El tema es de polinomios
Answer:
Tu imagen no es muy clara, así que no puedo entenderla.
Step-by-step explanation:
solve the inequality 1/2y>5
Answer:
y > 10
Step-by-step explanation:
1/2y>5
Multiply each side by 2
2* 1/2y>5*2
y > 10
Answer:
y > 10
Step-by-step explanation:
Inequality:
1/2y>5
We need to isolate the variable y.
Since it is being multiplied by 1/2, we need to multiply by the reciprocal, or opposite, on both sides. The reciprocal of 1/2 is 2. (Check by multiplying both numbers and making sure the product is 1.)
Multiply:
1/2y>5
x2 x2
y > 10
Therefore, the simplified inequality is y > 10.
what is the surface area of a prism 8,6,10,12
Please give me proper and right answers
i am begging you
Answer:
618.4 unit^2.
Step-by-step explanation:
We have 6 surfaces ( 3 pairs of equal area) so it is:
2 * 8.6*10 + 2 * 8.6*12 + 2 * 10*12
= 2 * 86 + 24*8.6 + 2 * 120
= 618.4.
Will mark as brainliest if correct
Answer:
X = 1.09
Step-by-step explanation:
6 to the 1.09th power is 7.04993094301076 so when it is rounded it is 7.
Answer:
the answer is 7
Step-by-step explanation:
log10(6x)=log10(7)
x•log10(6)=log10(7)
x = log10(7)/log10(6)
this works because of
logb(x y) = y ∙ logb(x)
I figured this out from the internet!!
source:TigerAlegbra
john charges a fee of $50 to figure out what is wrong with a customers car. then he charges $75 per hour to fix the car. if john charged a customer $237.50 how long did he work on the car?
please answer fast.
Answer:
2 hours and 30 minutes.
Step-by-step explanation:
First you must add $50 and $75. Then add two $75, to get $200. Then, Multiply $1.25 by 30.
Hope this helps :)
(If it did please make this brainliest.)
3х - 40 °
30°
х+ 20
whats x?
So the right answer is 42.5
look at the attached picture
Hope it will help you
Good luck on your assignment
Write an addition equation or a subtraction equation to describe the diagram
Answer:
add the diagram
Step-by-step explanation:
what perfect square goes into the square root of 108
Answer:
[tex]6\sqrt{3}[/tex]
Step-by-step explanation:
so we are going to create a factor tree which is the .The factor tree is any two numbers that equal to 108.
next we are going to pull out our pairs.so there are one pair of two's and one pair of threes
[tex]\sqrt[2]{108} =2*3\sqrt{3} =6\sqrt{3}[/tex]
pls mark me brainliest
40 PTS!!How many possible outcomes exist when four fair coins are flipped? 2 4 8 16
Answer:
16
Step-by-step explanation:
4 coins 2 out comes each
2 X 2 X 2 X 2 = 16
2^4 = 16
Hope i helped you
Answer:
16
Step-by-step explanation:
What is the solution to this system of equations?
On a coordinate plane, 2 lines intersect at (negative 6, negative 2).
What is the solution to the system of equations?
(–6, –2)
(–2, 6)
(6, 2)
(–2, –6)
pls hurry up im being
timed
Answer:
(-6,-2)
Step-by-step explanation:
Since they intersect at (negative 6, negative 2) and the solution to the two equations is their point of intersection, then you just need to convert the words to numbers in the form (-6,-2). Hope this helps!
Answer:
It is A
Step-by-step explanation:
I just took the test and got 100 eny answer ask me :D
Correct answers only!
To the nearest cent, how much will she have in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
4444.63
Step-by-step explanation:
after 1st year money will be 3000 + 0.14 *3000 =3420
after 2nd year 3420 + 0.14*3420 =3898.80
after 3rd yeaar 3898.80 + 0.14*3898.80 = 4444.632
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys and 4 girls are competing, how many different ways could the six medals possibly be given out?
Answer:
There are a total of possible 1820 results.
Step-by-step explanation:
Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:
[tex]Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455[/tex]
[tex]Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4[/tex]
Total number of possible results:
[tex]results = 4*455\\results = 1820[/tex]