Hello,
This is a parabola.
The vertex is for x= 15/2*5=3/2, and then the maximum is reached for
[tex]h(3/2)=-5(9/4)+15(3/2)+10=\dfrac{-45+90+40}{4}=\dfrac{85}{4}[/tex]
As 85/4 < 24 the ball does not reach a height of 24 m
thanks
The ball does not reach a height of 24 m.
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
The height of the toy cannon all launched is expressed as
h(t)=-5t²+15t+10
a) As, the given equation forms a parabola, the vertex is
t = 15/2 x 5
t = 3/2
So, it reached the maximum height at 3/2
h(3/2) = -5(9/4)+ 15 (3/2) + 10
h(3/2) = 85/4
So, 85/4 < 24 the ball does not reach a height of 24 m.
Learn more about Parabola here:
https://brainly.com/question/21685473
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I will give brainliest :)
Frank had 90 flyers to hang up around the school. After
giving the same number of flyers to each of three
volunteers, he had 12 left to hang up by himself.
Find the value of the variable in the story.
•18
•30
•28
•26
Answer:
26 per volunteer
Step-by-step explanation:
90-12=78
78/3=26
Answer:
26
Step-by-step explanation:
90 - 12 = 78, 78 / 3 equaling 26.
You are running at a speed of 4 m/s per second and you accelerate to a speed of 6 m/s in 4 seconds. What is your acceleration
what is 48934 times 3456734= ?
What are the domain and range of each relation please hurry its urgent Thank you
A) Domain: {-3, -1, 0, 3}
Range: {-1, 0, 1, 2, 3}
B) Domain: {-3, -2, 0, 2}
Range: {0, 1}
C) Domain: {-2, 0, 2, 4}
Range: {-3, -1, 0}
Answer:
Step-by-step explanation:
A) -3, 3
-1,3
b) -3 2
0 1
c) -2 4
-3 0
QUICK!
Which shows the list of numbers in order from least to greatest?
Answer:
I believe it is the first one.
Step-by-step explanation:
-2 is the smallest
the absolute value of -4/5 is positive 4/5
the absolute value of -1 is 1
the absolute value of 3.5 is 3.5
and the absolute value of -4.2 is 4.2
Answer:
Answer choice A!
Explanation:
Absolute value just means you ignore the negative signs so...
-2, 4/5, 1, 3.5, 4.2 are the actual values :P
What is the value of x?
45°
(2x - 5)°
Answer:
x=70
Step-by-step explanation:
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Divide 140 by 2 to get X=70
the
-4 -2
Inequality:
0 2 4
Set Notation:
Interval Notation:
Answer:
-6
Step-by-step explanation:
Help please this is hard
Answer:
C because people cut their hair so it goes up, and all of a sudden goes down
hope it helps
an 8 inch wide photo has been reduced to a 5 inch wide by 7 inch tall photo. How tall was the original photo?
Answer:
It was 10inches tall
Step-by-step explanation:
If the width was 8 inches tall but then was reduced to 5 inches tall that means it was reduced by 3 inches, so we just do the same thing with the height. If it is 7inches tall after it was reduced then just add 3 inches back to it which means it was 10 inches tall...Ik its kinda confusing but its correct
PLEASE ANSWER AND MY GRADE WILL GO UP I WILL GIVE YOU BRAINLIST AND ALL OF MY POINTS
Answer:honestly idk ijust want points
Step-by-step explanation:
sorry dude
2 numbers that go into 79
Answer:
79 and one
Step-by-step explanation:
11.2 x 3.95 (please show work)
The point (5, 6) is ocated in which quadrant? y x ! O QuadrantI O Quadrant II O Quadrant lII O Quadrant IV
Quardrant 1
I think but your question makes no sense
A pet store has 4 tanks of fish. Each tank has k fish. Using k, write an expression for the total number of fish in the store
Answer:
An expression for the total number of fish in the store would be 29n .
You can use this expression to find the number of fish in the store for any number of tanks, For example , if there are 5 tanks (or n is 5), the total number of fish would be 29 * 4 = 116fish.
what is the sum of the retional numbers -8/19 and -4/57
Plz help ASAP
Fred deposits $3000 into a savings account. After three years, his bank account balance reads $4500. What is this percent change of the money in the account?
A. 33% decrease
B. 50% increase
C. 33% increase
D. 50% decrease
Answer:
c.33% increase
Step-by-step explanation:
4500÷3 because 3000 goes in to 4500 3 times which is 33% increase
Select three ratios that are equivalent to 7: 6.
Choose 3 answers:
12:14
21:18
42 : 36
63.54
12:14❤
21:18
1. Eighty-nine percent of Americans polled are in favor of arts education being taught in public
schools.
a. Does the above numerical value describe a parameter or a statistic?
b. After reading the above statement, you decide to campaign for the arts in education and
use the statement: "A majority of Americans are in favor of art education, which shows
their love of arts. Americans support ballet teaching in public schools." What branch of
statistics would you be applying?
Answer:
a. parameter
b. descriptive statistics
Step-by-step explanation:
The values of the population charactersitics are summarized by certain numerical descriptive measures called parameters.
The observations composing a sample are used to calculate a corresponding numerical descriptive measure called a statistic.
a. The percent of Americans is of a population and therefore it is a parameter not a statistics.
b. Descriptive statistics deals with the collection, summarization and display of data.
Inferential statistics deals with conclusions drawn based on a sample.
This is descriptive statistics because it is displaying of data collected from a population of America.
A distribution is positively skewed. Which is the most probable order for the three measures of central tendency
Answer:
The answer is mode, median, mean.
Step-by-step explanation:
From the smallest to the largest we have the mode, median, mean. If a distribution is positively skewed it means that it is right skewed. It tells us that the right tail of this distribution has longer length compared to the left tail. The average, mean would be moved slightly to the left, the mode occurs at the top while the median is in the middle.
How much soup can i fill in my thermos if the radius is 2.5 inches and the height is 13 inches?
Answer:
V≈255.25
Step-by-step explanation:
Formula V=πr^2h
V=πr^2h=π·2.52·13≈255.2544
Point P has coordinates (2,5), after a translation, the coordinate of its image p' are (4,1) which of the following best describes the translation
Answer:
can you show me the graph?
Step-by-step explanation:
Subtract. Express your answer in lowest terms 3/4 - 1/8
Answer:
5/8
Step-by-step explanation:
3/4=6/8
6/8-1/8=5/8
The regular price of a bathing suit is $89.99. Estimate the sale price of the bathing suit at 50% off regular price. whats the price of the bathing suit?
At the city museum, child admission is $6.00 and adult admission is $9.60. On Tuesday, 177 tickets were sold for a total sales of $1350.00. How many adult
tickets were sold that day?
80 adult tickets were sold that day.
This is a two equation problem.
First, let:
a = adult tickets
c = child tickets
[tex]6c + 9.6a = 1350[/tex]
[tex]c + a = 177[/tex]
Now, solve for either variable (c or a). We're going to isolate "c" in the second equation and plug it into the first.
[tex]c + a = 177[/tex]
[tex]c = 177 - a[/tex]
Plug it in:
[tex]6(177 - a) + 9.6a = 1350[/tex]
[tex]1062 - 6a + 9.6a = 1350[/tex]
[tex]1062 + 3.6a = 1350[/tex]
[tex]3.6a = 288[/tex]
[tex]a = 80[/tex]
Now, plug in 80 for "a" in either of the equations to find "c."
[tex]c + (80) = 177[/tex]
[tex]c = 97[/tex]
Rather than solving algebraically, as shown above, you can also graph the two equations, and wherever they intersect will be the solution.
HELP ASAP FOR MY FRIEND
Answer:
solve it like the first one
Step-by-step explanation:
Answer:
What one?
Step-by-step explanation:
^
the product of the ages of a father and his son is 576.if the father is 18 years younger than 5 times his son .how old is each?
Answer:
[tex]F = 45.4[/tex]
[tex]S = 12.68[/tex]
Step-by-step explanation:
Given
Represent the sons age with S and the father's age with F
[tex]S * F = 576[/tex]
[tex]F = 5S - 18[/tex]
Required
Determine F and S
Substitute 5S - 18 for F in the first equation
[tex]S * (5S - 18) = 576[/tex]
Open Bracket
[tex]5S\² - 18S = 576[/tex]
Equate to 0
[tex]5S\² - 18S - 576 = 0[/tex]
Solve using quadratic formula:
[tex]S = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = 5[/tex]
[tex]b = -18[/tex]
[tex]c = -576[/tex]
[tex]S = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]S = \frac{-(-18)\±\sqrt{(-18)^2 - 4*5*-576}}{2 * 5}[/tex]
[tex]S = \frac{18\±\sqrt{324 + 11520}}{10}[/tex]
[tex]S = \frac{18\±\sqrt{11844}}{10}[/tex]
[tex]S = \frac{18\±\108.8}{10}[/tex]
[tex]S = \frac{18+108.8}{10}[/tex] or [tex]S = \frac{18-108.8}{10}[/tex]
[tex]S = \frac{126.8}{10}[/tex] or [tex]S = \frac{-90.8}{10}[/tex]
[tex]S = 12.68[/tex] or [tex]S = -9.08[/tex]
Since, age can't be negative.
We have that:
[tex]S = 12.68[/tex]
Recall that:
[tex]F = 5S - 18[/tex]
[tex]F = 5 * 12.68 - 18[/tex]
[tex]F = 45.4[/tex]
Hence:
The father is 45 years old and the son is 13 years old (Approximated)
f(x)=6x+14 g(x)=2x-6 find f(x)+g(x)
four less than twice a number x is less than five
solve the quadratic equations
x^2 -8x + 35 = 0
x^2 +8x + 25 = 0
Answer:
x^2=8x-35
Step-by-step explanation:
1.1 Factoring x2-8x+35
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +35
Step-1 : Multiply the coefficient of the first term by the constant 1 • 35 = 35
Step-2 : Find two factors of 35 whose sum equals the coefficient of the middle term, which is -8 .
-35 + -1 = -36
-7 + -5 = -12
-5 + -7 = -12
-1 + -35 = -36
1 + 35 = 36
5 + 7 = 12
7 + 5 = 12
35 + 1 = 36
Last week students sold 44 magazine subscritions. This week they sold 99. What was the percent of change?