Answer:
2.9195
Step-by-step explanation:
To find the time we need to equate the function the zero and solve for t:
[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]
Using the general formula we have that:
[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]
then:
[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]
Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.
Please help.
Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage is calculated by dividing the number of 3-pointers the player makes by the number of 3-pointers he attempts. If Steph Curry attempted 25 3-pointers in his last game, how many can we assume he made?
Answer:
We can assume that the number of 3-pointers he made in his last game was 10 3-pointers
Step-by-step explanation:
In the question, we have;
The 3-point percentage rate for Stephen Curry = 43.5 successful made out of 100 attempts
The 3-point percentage rate for LeBron James = 34.5 successful made out of 100 attempts
The 3-point percentage rate for James Harden = 36.4 successful made out of 100 attempts
Whereby Steph Curry attempted 25 3-pointers in the last game he played and where 'x' represents the number of 3-pointers we can assume he made, we have;
x = 43.5% of 25
[tex]\therefore x = \dfrac{43.5}{100} \times 25 = 10.875[/tex]
Given that 'x' can only have whole number values, and the 3-point percentage is calculated using a larger number of attempts than 25, we can assume he made 10 3-pointers in his last game
The 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.
It is given that the four players from the NBA and their career 3-point percentages are listed below in the table
It is required to find the number of 3 pointers he made if Steph Curry attempted 25 3-pointers in his last game.
What is percentage?It is defined as the ratio or number presented as fraction of 100, the symbol of percentage is %.
We have in the question that:
The 3-point percentage rate for Stephen Curry is 43.5% out of 100 attempts.
We know that,
[tex]\rm 3-point \ percentage = \frac{Number \ of \ 3-pointers}{Number \ of \ 3-pointers \ attempts} \\[/tex]
3 - point percentage for Stephen Curry = 43.5%
Number of 3-pointers he attempts = 25
Putting these values in the above formula, we get:
[tex]\rm 43.5 \%=\frac{Number \ of \ 3-pointers}{25} \\\\\rm \frac{43.5}{100} \times25 = Number \ of \ 3-pointers\\\\\rm Or \ number \ of \ 3-pointers = 10.875[/tex]
But the number of 3-pointers can be a whole number, so we can assume that the 3-pointers is 10.
Thus, the 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.
Learn more about three pointer here:
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A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?
Answer:
30 (ft^2/gal)
Step-by-step explanation:
The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).
Here we have the unit rate
120 ft^2
---------------- = (30 ft^2)/gal or 30 (ft^2/gal)
4 gallons
What is parallel to what?
Answer:
LS is parallel to MN
Step-by-step explanation:
LS and MN are the only lines to have the parallel symbol (the 2 arrows)
algebraic expression 5a² - 25b²
Answer: = 5 (a-5b)(a+b)
Step-by-step explanation:
= 5a² - 25b²
= 5 (a²-5b²)
= 5 (a-5b)(a+b)
Someone please help!!
find a line that is parallel to y=-2x+7 and passes through a point of (1,-1)
Answer:
y=-2x +1
Step-by-step explanation:
hope this helps
What is the solution to the system of equations? 5x+3y=18 2x−3y=10
I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
I -9I = ____
HELP HELP ME ME ASAP PLEASE
Answer:
9
Step-by-step explanation:
l l means absolute value
the absolute value of any negative number is the same number but positive
so the absolute value of -9 is positive 9
Answer:
9
Step-by-step explanation:
Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9
The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches
Answer:
simplified its 5:4 for juniors to freshmen's
Step-by-step explanation:
Answer:
5 : 4
Step-by-step explanation:
Ratio of juniors to freshmen = 15 : 12
15 = 3 * 5
12 = 3 * 4
GCF = 3
15 : 12 = 15÷3 : 12÷ 3
= 5 : 4
Expand and simplify
2(m - 3) + 3(m + 4)
Answer:
5m+6
Step-by-step explanation:
Hello There!
We can simplify the given expression using distributive property
We can distribute the 2 to the m and - 3
2 * m = 2m
2 * -3 = -6
Now lets distribute the 3 to the m and the 4
3 * m = 3m
3 * 4 = 12
we´re left with
2m - 6 + 3m +12
our final step would be to combine like terms
2m + 3m = 5m
-6 + 12 = 6
so the simplified version would be
5m+6
What is the same as 7/3
Answer:
3.5/1.5 or 14/6
Step-by-step explanation:
equivalent
PLEASE NEED HELP ASAP
You can download answer here
tinyurl.com/wpazsebu
Answer:
288mm^2
Step-by-step explanation:
Formula: A=2(wl+hl+hw)
Answer: 2·(14·6+3·6+3·14)
2 • (84 + 3•6 + 3•14)
2 • (84 + 18 + 3•14)
2 • (84 + 18 + 42)
2 • 144 =
288mm^2
Press answer 2 on the question of the image you inserted
For a snack, mrs graham gives her student graham crackers. She has a package of 20 graham crackers to share equally to 8 students. How many graham crackers does each student receive
Answer:
2.5
Step-by-step explanation:
graham crackers each student receive = total number of crackers / total number of students
20 / 8 = 2.5
Urgent!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $44,376. The variable costs will be $8.25 per book. The publisher will sell the finished product to bookstores at a price of 19 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4,128 books
Step-by-step explanation:
Let
x = number of books
Fixed cost = $44,376
Variable cost = $8.25 per book
Total cost = fixed cost + variable cost
Total cost = 44,376 + 8.25x
Selling price of book = $19 per book
Total revenue = 19x
How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Total cost = Total revenue
44,376 + 8.25x = 19x
44,376 = 19x - 8.25x
44,376 = 10.75x
x =44,376/10.75
x = 4,128 books
The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
A bakery used 37% more chocolate chips this month than last month. If the bakery used 320 pounds of chocolate chips last month, how much did it use this month?
Answer:
438.4
Step-by-step explanation:
100% + 37% = 137% = 1.37
320 x 1.37 = 438.4
so the answer that I got is 438.4
I really hope this helps
In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle
Given:
The vertices of a right triangle are:
[tex](-3,4),(3,4),(3,-4)[/tex]
To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, we get
[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]
[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]
[tex]AB=\sqrt{(6)^2+0}[/tex]
[tex]AB=\sqrt{36}[/tex]
[tex]AB=6[/tex]
Similarly,
[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]
[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]BC=\sqrt{64}[/tex]
[tex]BC=8[/tex]
And,
[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]
[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]
[tex]AC=\sqrt{36+64}[/tex]
[tex]AC=\sqrt{100}[/tex]
[tex]AC=10[/tex]
Now, taking sum of squares of two smaller sides, we get
[tex]AB^2+BC^2=6^2+8^2[/tex]
[tex]AB^2+BC^2=36+64[/tex]
[tex]AB^2+BC^2=100[/tex]
[tex]AB^2+BC^2=AC^2[/tex]
By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
I need help fast thank you
Answer:
RO = 39.5
Step-by-step explanation:
RO/9 = 57/13
13RO = 513
RO = 513/13
RO = 39.46
Answer:
39.5
Step-by-step explanation:
[tex]\frac{KN}{NM} =\frac{RO}{RQ} \\\\\frac{9}{13} =\frac{x}{57} \\\\13x=513\\x=39.5[/tex]
Which of the following is a solution for the equation x /6 = 7? A. x = 1 B. x = 6 C. x = 7 6 D. x = 42
Answer:
x = 42
Step-by-step explanation:
[tex]\frac{x}{6} = 7[/tex]
Multiply both side of the equation by 6.
[tex]6(\frac{x}{6} ) = 7 * 6[/tex]
∴ x = 42
So, the answer is D.
Hope this helps
150p + 200 + 10p= 1200 SHOW ALL STEPS
150+10=160
160p+200=1200
-200 -200
160p= 1000
1000/160= 6.25
will give brainliest
Answer:
whats (2x)x(76) x is 50 btw im new
Step-by-step explanation:
SOMEONE ANSWER FASTT!!
*create an equation for this situation. Use the equation to solve the problem. (Algebra)
Some Girl Guides are raising money for their jamboree. Their goal is to raise $1000, They already have $232 from the bake sales. To raise the remainder, they are planning a walk-a-thon. if each person walking raises $24, how many walkers will the Girl Guides need to reach their goal?
what is 1 1/4 divided by 1 2/5 for kahn academy ?
Answer:
25/28
Step-by-step explanation:
5/4 x 5/7 = 25/28
Answer:
25/28
Step-by-step explanation:
Find the volume of the cube. *
Answer choices: 30 1/2, 33 3/4, 31 1/4, 32 1/3
Answer:
volume = wide x length x deep
= 3{1/3} ft x 2{1/2} ft x 3{3/4}ft
= 10/3ft x 5/2ft x 15/4ft
= (10 x 5 x 15)/(3 x 2 x 4) ft^3
= 125/4 ft^3
= 31{1/4} ft^3
Step-by-step explanation:
Help please
Find the value of x when y=0. x + 4 = y
Answer: x = -4
Step-by-step explanation:
-4 + 4 = 0
if y = 0 then X will be -4
Answer:
hello
Step-by-step explanation:
answer is x=-4
because if we add
4-4=0
x+4=0
-4+4=0
LMN is a right triangle 39 36 15
The 2000 population of a city was 705,000 and was increasing at the rate of 1.51% each year. At that rate, when will the population be 1 million
Answer:
The population would be 1 million in 2024.
Step-by-step explanation:
In order to find the answer you can use the population growth formula:
A= P*e^rt
A=Population after time=1,000,000
P= Starting population=705,000
e= Euler number that is equal to 2.718
r= rate of growth=0.0151
t= time
Now, you can replace the values on the formula and solve for t:
1,000,000 = 705,000*e^0.0151t
1,000,000/705,000 = e^0.0151t
ln(1,000/705) = ln(e^0.0151t)
ln(1000/705) = 0.0151t
t = [ln(1000/705)]/0.0151
t = 23.14 years
According to this, the answer is that the population would be 1 million in 2024.
Find m ∠ B if mAB = 120° and m ∠ A= 42º.
A)78°
B)80
C)18
D)156
Answer:
∠B = 78°
Step-by-step explanation:
∠C = 1/2 arc AB = 1/2(120°) = 60° because it is an inscribed angle
∠B = 180° - 42° - 60° = 78°
The measure of ∠ B is 78°.
What is inscribed angle?An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
What is inscribed angle theorem?The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
According to the question
m ∠ A= 42º.
mAB = 120°
By inscribed angle theorem :
mAB = 2 m∠C
120° = 2 m∠C
m∠C = 60°
now,
according to the sum of angle of triangle
m ∠ B + m∠C + m ∠ A = 180°
m ∠ B +60° + 42º= 180°
m ∠ B = 78°
Hence, the measure of ∠ B is 78°.
To know more about inscribed angle theorem here:
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