Answer: the slope is m = 4/3
You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t^2 +12t. What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball ?
Step-by-step explanation:
The height that your feet are above the ground is given by the function :
[tex]h(t) = -16t^2 +12t[/tex] ...(1)
We need to find the maximum height your feet will be above the ground.
For maximum height, put dh(t)/dt = 0
[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d( -16t^2 +12t)}{dt}=0\\\\-32t+12=0\\\\t=0.375\ s[/tex]
Now put t = 0.375 s in equation (1) as follows :
[tex]h(t)=-16\left(0.375\right)^{2}+12\left(0.375\right)\\\\=2.25\ ft[/tex]
So, the feet will be 2.25 feet above the ground. Yes, you will be able to dunk the basketball.
The table below shows the distances and travel times for three different flights departing from Minneapolis.
Destination Travel time (in hours) Distance (in \text{km}kmstart text, k, m, end text)
Phoenix 333 168916891689
Minot 222 913913913
San Francisco 444 255625562556
Which flight has the fastest average speed?
Answer:
San Francisco with average speed of 639 km/hour
Step-by-step explanation:
Phoenix 3 1,689
Minot 2 913
San Francisco 4 2,556
Phoenix average speed = distance travelled / time taken
= 1,689 km /3 hours
= 563 km/hour
Minot average speed = distance travelled / time taken
= 913 km / 2 hours
= 456.5 km/hour
San Francisco average speed = distance travelled / time taken
= 2,556 km / 4 hours
= 639 km/hour
The fastest average speed flight is San Francisco with an average speed of 639 km/hour
Answer:
San Francisco with average speed of 639 km/hour
Step-by-step explanation:
Which number is equal to the expression 7 x 104 + 3 x 103 + 0 x 102 + 8 x 101 + 5 ?
Answer:
1
Step-by-step explanation:
Scientific notation is the way that scientists easily handle very large numbers or very small numbers. For example, instead of writing 0.0000000056, we write 5.6 x 10-9. So, how does this work?
We can think of 5.6 x 10-9 as the product of two numbers: 5.6 (the digit term) and 10-9 (the exponential term).
Here are some examples of scientific notation
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
|
V
please help me fill in the missing number
Answer:
6
Step-by-step explanation:
3/4 / 6 = 3/4 x 1/6, which equals 3/24
and prodigy is a good game :D
solve system of equations using the elimination method
Answer:
(x,y)=(-4/5,10/19)
Step-by-step explanation:
x+2y=3
x-8y=-16
x+2y=3
-x+8y=16 (multiply both sides by-1)
10y=16
y=16/10
x+2(16/10)=3
x=-4/5
How do the values compare? Order the values from least to greatest. -1 1/4 , |-1 3/4-| , 3/4 , -2 1/4 , |1 1/4-| , and |-2 1/4|
Answer:
[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]
Step-by-step explanation:
Given the numbers:
[tex]-1 \frac{1}{4} , |-1 \frac{3}{4}| , \frac{3}{4} , -2 \frac{1}{4} , |1 \frac{1}{4}| , and |-2 \frac{1}{4}|[/tex]
To find:
The ascending order of the given numbers.
Solution:
First of all, let us have a look at the definition of absolute value function i.e. Modulus function.
[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]
i.e. if the numbers is negative, then a negative sign is added to make the number positive.
Now, let us have a look at the given numbers with modulus one by one.
[tex]|-1 \frac{3}{4}| = -(-1 \frac{3}{4})=1 \frac{3}{4}\\ |1 \frac{1}{4}| = 1 \frac{1}{4}\\|-2 \frac{1}{4}| = -(-2 \frac{1}{4})=2 \frac{1}{4}[/tex]
Smallest numbers are with negative signs.
And negative numbers with larger magnitude are smaller.
Therefore, the ascending order will be:
[tex]-2 \frac{1}{4}<-1 \frac{1}{4} < \frac{3}{4}< |1 \frac{1}{4}|< |-1 \frac{3}{4}| < |-2 \frac{1}{4}|[/tex]
Answer:
Step-by-step explanation:
- 2 1/4 - 1 1/4 3/4 | 1 1/4| | - 1 3/4 | - 2 1/4 |
Find the median number of flying saucers.
1, 2, 4, 8, 21, 27
4+8= 12
12÷2= 6
Answer:
6
explain algebraic equations please
Answer:
: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.
Step-by-step explanation:
includeing zero
add as brainleist plz
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
how many times does 35 go into 78?
Answer:
It goes in 2 times
Step-by-step explanation:
Can i have branliest, so i can go up a rank?
Answer:
35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.
The orange spinner is spun and then the aqua spinner is spun. What is the probability that the numbers will add to 4 or less?
50%
25%
3/8
7/16
Answer:
25%
Step-by-step explanation:
Hopefully this is correct!
30% increase on $50
help I need the answer nowww
Answer:
$65
Step-by-step explanation:
30% of 50 is 15, so 50+15=65.
Answer:
Step-by-step explanation:
50*30%= 15 more so it'll be 65
Find the sum of 5
and 7
Step 2: Add the fractions by dragging each bar to the dot on
the number line
02 03 04 05 06 08 10 12
The expression written in equivalent form with common
denominators is
70 규
The sum is
V
The common denominator of both
fractions is 10
You can proceed to step 2
Answer:
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
Sum: [/tex] \frac{9}{10} [/tex]
Step-by-step explanation:
Given, [tex] \frac{1}{5} [/tex] and [tex] \frac{7}{10} [/tex]
Expressing in an equivalent form whereby they would have a common denominator, we would multiply the numerator and denominator of each fraction by the denominator of the other fraction.
Thus, we would have:
[tex] \frac{1 \times 10}{5 \times 10} = \frac{10}{50} [/tex]
[tex] \frac{7 \times 5}{10 \times 5} = \frac{35}{50} [/tex]
[tex] \frac{10}{50} + \frac{35}{50} [/tex]
The sum is: [tex] \frac{10}{50} + \frac{35}{50} = \frac{10 + 35}{50} = \frac{45}{50} [/tex]
Simplify
[tex] \frac{45}{50} = \frac{9}{10} [/tex]
Tickets to the school dance cost $3.00 in advance or $5.00 at the door. There were a total of 184 tickets sold, raising $688. How many tickets were sold at the door?
Help me solve this equation and show work
11d + 17b = 95
d + b = 7
Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
Answer:
B = 3
d = 4
Step-by-step explanation:
You can use elimination method. Multiply (d + b = 7) by -11.
11d + 17b = 95
-11d - 11b = -77
add together. D’s will cancel
6b = 18
divide by 6
b = 3
plug in 3 for b in the equation of your choice
d + (3) = 7
subtract 3
d = 4
SHOW ALL YOUR WORK EVERY DIVISION ADDITION MULIPLICATON AND SUBTTRACTION PROBLEM YOU DO TO SIMPLIFY THIS EXPRESSION MUS BE SHOWN thanks :)
(6g-9)+1/3(15-9g)
Step-by-step explanation:
i hope this helps you somehow
If the roots of a polynomial are 4 and -2 what could the polynomial be
Answer:
2
Step-by-step explanation:
it may not be right because i guessed
a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars
Answer:
68.75%
Step-by-step explanation:
First you do 54 - 32 to get 22.
Then you divide 22 by 32 to get the decimal 0.6875
Finally, you multiply 0.6875 by 100 to get 68.75% :D
Answer:
68.73% more cars were sold
Step-by-step explanation:
from 32 cars that represented 100% went to 54 so is a diference of 54-32=22
Now what percentage of 32 is 22?
32 is 100%
22 is x%
x=(22*100)/32=2200/32=68.73%
Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees
Answer:
✔ 360°
Identify the following angle measures.
m∠2 = ✔ 60
m∠4 = ✔ 150
m∠6 = ✔ 90
Step-by-step explanation:
i just finished answering the question
Answer:
C
B
B
C
Step-by-step explanation:
for the lazy ppl
Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible values of n?
Step-by-step explanation:
an² = 182
When a = 2, n² = 182/2 = 91, n = 9.539...
When a = 5, n² = 182/5 = 36.4, n = 6.033...
Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.
Therefore our possible values of n are 7, 8 and 9.
The possible values of n are 7, 8, 9
The given equation is:
an² = 182
Make n the subject of the formula:
[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]
Let us consider the minimum and maximum values of a:
when a = 2
[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]
When a = 5
[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]
We can conclude that 6.03 < n < 9.54
Since n is an integer, the possible values of n are 7, 8, 9
Learn more here: https://brainly.com/question/15816805
consider the inequality shown.
4x+ax-14>-24
What is the highest integer value of when x=-2
Answer:22
Step-by-step explanation:
Jason claims he has finished reading 25% of his book. If his book has 200 pages, how many pages has he read?
Answer:
Jason has read 50 pages.
Step-by-step explanation:
25% of 200 = 50
Remember "of" means multiply so you multiply 25% to 200
25% x 200
Convert 25% into a decimal
0.25 x 200 = 50
So Jason has read 50 pages.
How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?
Sample Response: There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
What did you include in your response? Check all that apply.
The shaded area would reverse on both inequalities.
The graphs do not overlap until the signs are reversed.
There are an infinite number of solutions in the system once the signs are reversed.
There are no solutions before they are reversed.
Answer:
all of them.
Step-by-step explanation:
Hope this helps!
<3
~nxmbus
Complete the statement
Isosceles triangle A ABC has congruent angles at B and C. If BC is bisected at D and AD is drawn, by the side, side, side triangle congruence postulate,
(1 point)
O AADB AADC
O AADBA AABC
Ο ΔΑΒCA ΔΑDC
O AADB ADCA
Answer:
∆ ADB = ∆ ADC
The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?
Answer: 18 by8
Step-by-step explanation:
Arianna is buying plants for her garden. She buys 15 flowering plants for $96. Pink flowering plants sell for $8, and purple flowering plants sell for $5. How many pink flowering plants did Arianna buy?
Answer:
Let's represent pink flowering plants with the variable p:
8p + 5(15 - p) = 96
8p + 75 - 5p = 96
3p = 21
p = 7
Step-by-step explanation:
Arianna bought 7 pink flowering plants
Answer:
B) 7
Step-by-step explanation:
took the test on edg
9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?
Your Answer should be 16
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
What is the diagonal?
A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.
A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.
Here given that,
In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect
at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],
[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]
So,
[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]
Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].
To know more about the diagonals
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how to find radius of the base examples
Answer:
r=[tex]\frac{c}{2\pi }[/tex]
Step-by-step explanation:
At Samantha's Hats, there are 12 baseball caps and 4 other hats. What percentage of the hats are baseball caps?
17. Ms Steele is building a circular fountain, on the diagram 2 centimeters is equal to 5 feet. If
the diameter is 12 centimeters. What is the area of the actual fountain? Do you have to
convert first or last
Answer:
George Washingmachine
Step-by-step explanation:
Answer:
[tex]706.858[/tex] [tex]ft^{2}[/tex] ([tex]3[/tex] d.p)
Step-by-step explanation:
Convert first:
[tex]12 \div 2 = 6[/tex]
[tex]6 \times 5 = 30[/tex] [tex]ft[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
[tex]= \pi (30\times \frac{1}{2})^{2}[/tex]
[tex]= 225\pi[/tex]
[tex]= 706.858[/tex] [tex]ft^{2}[/tex]([tex]3[/tex] d.p)
Hope this helps :)