Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method.
Step-by-step explanation:
I'm not sure what the square root method is, but I'm assuming that you factor.
This is how I would solve it:
[tex]h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2} [/tex]
Since time can't be negative, you rule out the -3/2.
Answer:
[tex]t = \frac{3}{2}[/tex]
The ratio of red marbles to blue marbles in a bag is 2 to 5. If there are 60
more blue marbles than red marbles in the bag, how many marbles are
there all together?
Answer:
140
Step-by-step explanation:
Let's call the red and blue marbles 2x and 5x. We know that 5x = 2x + 60, so x = 20. The sum of all marbles in the bag is 2x + 5x = 7x which is 7 * 20 = 140 marbles. Hope this helps!
Answer:
84 in all.
Step-by-step explanation:
if there are 2 red marbles to every 5 marble than 60 / 5 = 12, 12 x 2 = 24 + 60 = 84.
A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Everyone liked at least one sport except 7 kids, which doesn't like any of these three kind of sports. 12 children liked Chess and Football but not Swimming, 16 children liked Chess and Swimming but not Football, 8 children liked Swimming and Football but not Chess, 10 children liked Chess only, 40 children liked Swimming, 32 student liked Football.
a)Find the number of kids who liked Swimming and Football.
b)What is the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
c)What is the probability that a randomly-chosen child from this group does not like active kinds of sport?
Answer:
see below
Step-by-step explanation:
Let C = chess
S = swimming
F = football
x = football only
y = all three sports
z = swimming only
x+y+ 8+12 = 32 those who like football
y+z+8+16 = 40 those who like swimming
7+x+8+y+12+10+16+z = 72 all children
Simplifying these equations
x+y = 32-20 = 12
y+z = 40-24 = 16
x+y +z = 72-53 = 19
Substituting x+y = 12 into the last equation
12 +z = 19
z = 7
y+z = 16
y = 9
x+y =12
x =5
Swimming only is 7
Football only is 5
Swimming and football y+8 = 9+8 = 17
P( chess or swimming but not football) = (10+16+z)/ total
=(10+16+7)/ total
=33/72
P( no active sport) = chess only or no sport/total
=(10+7)/72
Which correlation coefficient could represent the relationship in the scatterplot?
A) 0.89
B) –0.78
C) –0.36
D) 1.23
Answer:
B is the awsnsr to your question
Step-by-step explanation:
Answer:
B) –0.78.
Step-by-step explanation:
I need help!!!!!!!please.
Answer:
C +-4
Step-by-step explanation:
Which parabola will have one real solution with the line y = x – 5? y = x2 + x – 4 y = x2 + 2x – 1 y = x2 + 6x + 9 y = x2 + 7x + 4
Answer:
y = x² + 7x + 4
Step-by-step explanation:
First option
System of equations:
y = x² + x – 4
y = x – 5
Replacing:
x - 5 = x² + x – 4
0 = x² + x – 4 - x + 5
0 = x² + 1
Discriminant:
b²-4*a*c
0²-4*1*1
-4 < 0 then the equation has no real roots
Second option
System of equations:
y = x² + 2x – 1
y = x – 5
Replacing:
x - 5 = x² + 2x – 1
0 = x² + 2x - 1 - x + 5
0 = x² + x + 4
Discriminant:
b²-4*a*c
1²-4*1*4
-15 < 0 then the equation has no real roots
Third option
System of equations:
y = x² + 6x + 9
y = x – 5
Replacing:
x - 5 = x² + 6x + 9
0 = x² + 6x + 9 - x + 5
0 = x² + 5x + 4
Discriminant:
b²-4*a*c
5²-4*1*4
9 > 0 then the equation has two different real roots
Fourth option
System of equations:
y = x² + 7x + 4
y = x – 5
Replacing:
x - 5 = x² + 7x + 4
0 = x² + 7x + 4 - x + 5
0 = x² + 6x + 9
Discriminant:
b²-4*a*c
6²-4*1*9
0 then the equation has one real root
Answer: y = x² + 7x + 4
Step-by-step explanation:
Trust
Plz do it for meee x
Answer:
2,400cm²
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID = L×B× H
WHERE L is LENGTH =20cm
B=15cm
H= 8cm
:• VOLUME=20cm ×15cm ×8cm
=2,400cm²
Answer:
Volume = 2400 cm³
Step-by-step explanation:
Volume of Cuboid = [tex]Length*Width*Height[/tex]
Where L = 20 cm, W = 8 cm and H = 15 cm
Volume = [tex]20*8*15[/tex]
Volume = 2400 cm³
What is the Product?
Answer:
C
-9,-8 and 2,0
Step-by-step explanation
edge 2021
What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for π.)
The right answer is 113.04cm^3
please see the attached picture for full solution
hope it helps
good luck on your assignment
Answer:
113.04
Step-by-step explanation:
→The formula for the volume of a sphere is:
[tex]V = \frac{4}{3} (3.14)r^3[/tex]
→The "r," is the radius, which is already given as 3.
[tex]V = \frac{4}{3} (3.14)3^3[/tex]
V = 113.04
x^2 + 4x = 6
solve by completing the square plz show step by step
Answer:
x = -2 ±sqrt( 10)
Step-by-step explanation:
x^2 + 4x = 6
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add this to each side
x^2 + 4x+4 = 6+4
Take the 4/2 term which is the factor inside the (x+ )^2
(x+2)^2 = 10
Take the square root of each side
sqrt((x+2)^2) =±sqrt( 10)
x+2 = ±sqrt( 10)
Subtract 2 from each side
x+2-2 = -2±sqrt( 10)
x = -2 ±sqrt( 10)
Answer:
x= +/- \sqrt(10) - 2
Step-by-step explanation:
use the formula (b/2) in order to create a new term.
Solve for x by using the term to complete the square.
HELP PLEASE THANKS
Solve N = 3pg^2 - 2pv for v.
[tex]N=3pg^2-2pv\\\\N+2pv=3pg^2\\\\2pv=3pg^2-N\\\\v=\dfrac{3pg^2-N}{2p}[/tex]
Slope=8/5, y-intercept =-4
what’s the midsegment
Answer:
17 units
Step-by-step explanation:
The midsegment of a triangle theorem states that:
The midsegment is 1/2 of it's parallel side.
So,
6x + 5 = 1/2(4x + 26)
6x + 5 = 2x + 13
6x - 2x + 5 = 13
4x + 5 = 13
4x = 13 - 5
4x = 8
x = 8 ÷ 4
x = 2
Substitute x to the midsegment.
6x + 5
6(2) + 5
12 + 5
17
Hello
Here is the answer:
A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
Please mark
Thanks
Jake
Please answer this asap! 20 POINTS :D
Answer:
2/8 or 1/4
Step-by-step explanation:
there are two blues
and there are 8 in total
so its 2/8
Answer:
1/4 = 25% chance.
Step-by-step explanation:
The probability of an event is equal to the amount of favorable outcomes divided by the total amount of outcomes.
There are 2 favorable outcomes (spinning blue). There are a total of 8 locations where the spinner can land.
We can say that 2/8 = 1/4 = 25% chance of spinning blue.
I hope this helps!
[tex]g = \frac{ {v}^{2} - {u}^{2} }{2h} [/tex]
Given that,
[tex]u = 480 \\ v = 500 \\ h = 10[/tex]
find the value of g.
Answer:
g=1960
hope it helped
Step-by-step explanation:
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Area of a triangle (picture provided)
Answer:
C
Step-by-step explanation:
The area of triangles is 1/2 x b x h.
Plug them in!
1/2 x 24 x 35
Simplify.
12 x 35
420 square inches
Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP
Answer:
( x = 17° )
Step-by-step explanation:
Consider the following steps;
[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]
Solution ; ( x = 17° )
If you cut 10 circles out of a rectangular board with an area of 64in2, what is the maximum area of each circle?
Answer:
the maximum area that can be of a circle that has been cut out of rectangular board can be 70 in zero
i need help with 2 of these
Answer:
1false
2true
Its me, hope from the day we said we would text at 10am remember lollll that person so HI i have a lot of accounts and the other got banned for no reason
Greyson finances a car for $19,000. There is an additional $750 in fees, making the APR 5.95%. The interest rate on the loan is
a) 2.5%
b) 1.5%
c) 2.0%
d) 3.0%
Use the figure to answer the questions below.
Part A: Give the most descriptive name for the figure. Justify your answer.
Part B: Solve for x.
Part C: Find the length of the longer side.
Answer:
parallelogramx = 560 unitsStep-by-step explanation:
A. Opposite sides are the same length, so the figure is a parallelogram.
__
B. Diagonals of a parallelogram cross at their midpoints, so ...
9x +3 = 10x -2
5 = x . . . . . . . . add 2-9x to both sides
__
C. The longer side is 12x = 12(5) = 60 . . . . units
Find the volume of a pyramid with a square base, where the area of the base is
12.7 ft- and the height of the pyramid is 17.8 ft. Round your answer to the nearest
tenth of a cubic foot.
Answer:
Volume, [tex]V= 75.35\ \text{feet}^3[/tex]
Step-by-step explanation:
We have,
Area of the base of of a pyramid with a square base is 12.7 ft
Height of the pyramid is 17.8 ft
It is required to find the volume of of a pyramid with a square base.
The formula used to find the volume of a pyramid with a square base is given by :
[tex]V=\dfrac{1}{3}Ah[/tex]
Plugging all the values in above formula
[tex]V=\dfrac{1}{3}\times 12.7\times 17.8\\\\V=75.35\ \text{feet}^3[/tex]
So, the volume of a pyramid is [tex]75.35\ \text{feet}^3[/tex].
Answer: 75.4 ft^3 when rounded
Step-by-step explanation:
Volume of Pyramid V=1/3BH
Area of base= 12.7
h=17.8
V=1/3 (12.7)(17.8)
V=75.353333
V=75.4 ft^3
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?
(5 – 7)2
(5)2 – 7
(5)2(5 – 7)
(5 – 7)x2
Answer:
Option A.
Step-by-step explanation:
The given question is incomplete. Let as consider we need to find [tex](g\circ h)(5)[/tex]
The given functions are
[tex]h(x)=x-7[/tex]
[tex]g(x)=x^2[/tex]
We need to find the expression for [tex](g\circ h)(5)[/tex].
[tex](g\circ h)(5)=g(h(5))[/tex]
[tex](g\circ h)(5)=g(5-7)[/tex] [tex][\because h(x)=x-7][/tex]
[tex](g\circ h)(5)=(5-7)^2[/tex] [tex][\because g(x)=x^2][/tex]
Therefore, the correct option is A.
Please help!!!!!
#34
Answer:
c
Step-by-step explanation:
you know what output you get from the input.
For example, you know that if you put in -5, you get -2, or if you put in 4, you get -2.
Even though there are two inputs for one output, it is still a function.
------------------------------------------------------------------------
If there are two outputs for one input, it is not a function.
For example, on d, when -5 is an input, you don't know if you're going to get 3 or 7. So, it's not a function.
//// hope that this helps you and have a great day////
The average surface temperature on
Jupiter is -162°F The average surface
temperature on Saturn is 46°F less than
on Jupiter. What is the average surface
temperature on Saturn?
Answer:
-208
Step-by-step explanation:
-162 - 46 = -208
Answer:
-208°F
Step-by-step explanation:
-162°F - 46°F = -208°F
Can someone help me with this question?
The one-year survival rate for pancreatic cancer is 20%. Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year. What is the probability of that happening.
Answer:
The required probability is 0.0155.
Step-by-step explanation:
We are given that the one-year survival rate for pancreatic cancer is 20%.
Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]
where, n = number of trials (samples) taken = 12 people
r = number of success = 6 survived
p = probability of success which in our question is probability of
one-year survival rate for pancreatic cancer, i.e; p = 20%
Let X = Number of people survived one year
So, X ~ Binom(n = 12 , p = 0.20)
Now, the probability that 6 survived one year is given by = P(X = 6)
P(X = 6) = [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]
= [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]
= 0.0155
solve the system and the value of y 3x-5y=-35 2x-5y=-30
Answer:
Step-by-step explanation:
3x - 5y = -35
2x - 5y = -30
3x - 5y = -35
-2x + 5y = 30
x = -5
3(-5) -5y = -35
-15 - 5y = -35
-5y = -20
y = 4
Answer: It is A. 4
Step-by-step explanation:3x - 5y = -35
2x - 5y = -30
3x - 5y = -35
-2x + 5y = 30
x = -5
3(-5) -5y = -35
-15 - 5y = -35
-5y = -20
y = 4
(Happy to Help!) (0.<)
At a charity raffle event they are giving out tickets labeled 1 through 10 when people come through the doors. If you are given an even-numbered ticket, you are given a prize at the end of the evening. The table shows the results of 500 guests. What is the relative frequency for the guests who will receive a prize? Ticket Number 1 2 3 4 5 6 7 8 9 10 Frequency 48 42 41 56 67 43 39 41 55 68
Answer:
Relative frequency for guest who will win the prize:
Relative frequency = 50%
Step-by-step explanation:
Total No. of guest = 500
No. of Guests with even-numbered tickets:
Ticket NO. 2 = 42
Ticket NO. 4 = 56
Ticket NO. 6 = 43
Ticket NO. 8 = 41
Ticket NO. 10 = 68
Total No. of Guest with even-numbered ticket = 42+56+43+41+68
Total No. of Guest with even-numbered ticket = 250
So.
Relative frequency = (frequency of desirable event/ total frequency) · 100
Relative frequency = (250/500)· 100
Relative frequency = 50%
Need help...with this graph
Answer:
The graph with coordinates x6,y8
Step-by-step explanation:
Use mathematical
reasoning to explain how
someone can predict the
number of people that will
become infected based on
the number of days in
school.
Answer:
This is a pretty broad question but im guessing you could use math to calculate how many people would get infected each day. You could start with
Ex.
Okay if we have one infected person how many people could they possibly pass the illness onto the next day. Well if they have x number of classes and see y number of people in those classes whats the PROBABILIITY one of those people gets the virus. Than you could calculate how many people will get infected the NEXT day.