what is equivalent to 3 and 1/4 minus negative 5/8
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
Answer:
3 and 7/8
Step-by-step explanation:
3 1/4 - ( - 5/8 ) = x
13/4 + 5/8 = x
26/8 + 5/8 = x
31/8 = x
x = 3 7/8
help pls!!!
A ball is launched upwards from a height of 4 feet. The ball’s height as a function of time, in seconds, is modeled by the function h(t)= -16t^2+80t+4. What is the time interval in which the ball has a height greater than 100 feet?
This is between 2 and 3 seconds, excluding both endpoints.
========================================================
Explanation:
t = elapsed time in seconds
h(t) = height of the ball at time t
Replace h(t) with 100. Then get everything to one side.
[tex]h(t)= -16t^2+80t+4\\\\100= -16t^2+80t+4\\\\0 = -16t^2+80t+4-100\\\\0= -16t^2+80t-96\\\\-16t^2+80t-96 = 0[/tex]
Next, we'll use the quadratic formula to isolate t.
Plug in a = -16, b = 80, c = -96 which are the coefficients of the last equation mentioned above.
[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-80\pm\sqrt{(80)^2-4(-16)(-96)}}{2(-16)}\\\\t = \frac{-80\pm\sqrt{256}}{-32}\\\\t = \frac{-80\pm16}{-32}\\\\t = \frac{-80+16}{-32} \ \text{ or } \ t = \frac{-80-16}{-32}\\\\t = \frac{-64}{-32} \ \text{ or } \ t = \frac{-96}{-32}\\\\t = 2 \ \text{ or } \ t = 3\\\\[/tex]
Therefore, the ball's height is greater than 100 ft in the air for the interval [tex]2 < t < 3[/tex]
This is between 2 and 3 seconds, excluding both endpoints.
------------------
Check:
Let's plug in t = 2 to find that...
[tex]h(t)= -16t^2+80t+4\\\\h(2)= -16(2)^2+80(2)+4\\\\h(2)= -16(4)+80(2)+4\\\\h(2)= -64+160+4\\\\h(2)= 100\\\\[/tex]
You should find that h(3) = 100 as well. I'll let you do those steps.
Since h(2) = 100 and h(3) = 100, this confirms the two solutions we found earlier.
A life insurance company is offering Anna a $100,000 life insurance policy for
$300. The insurance actuary has calculated that the probability of death within
a year of a 30 year old woman is 0.00064. Determine the expected value of the
insurance policy to Anna.
Plssss help
Answer with one of these answers by looking at the photo PLSS try to get correct
(a) and (b)
Neither
Only (a)
Only (b)
Answer:
a
Step-by-step explanation:
because all top numbers can go into bottom numbers.
The elves ate all 327 cookies in a 1/2 hour. What is the rate in cookies per hour?
jacob, stephen, and jermaine are hiking up half dome mountain in Yosemite National Park. Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m. Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m. Jermaine is 1/4 of the way between Steven and Jacob. How far has jermaine hiked and what is his elevation?
The distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
How to illustrate the information?From the information, Stephen has hiked 5.6 kilometers and is at an elevation of 1,920 m whole on the other hand, Jacob has hiked 9.8 kilometers and is at an elevation of 2,395 m.
Therefore, since Jermaine is 1/4 of the way between Steven and Jacob. This will be:
= 1/4(5.6 + 9.8)
= 1/4 × 15.4
= 3.85km
The elevation will be:
= 1/4(1920 + 2495)
= 1/4 × 4415
= 1103.75 m
Therefore, the distance that Jermaine hiked and his elevation will be 3.85km and 1103.75 m.
Learn more about elevation on:
brainly.com/question/88158
#SPJ1
For
every dog
pet store
there are 3 cats at the pet store. What's the ratio?
Answer:
1/3?
Step-by-step explanation:
Which linear inequality is graphed with y> -+-2 to create
the given solution set?
y>x+1
y
y>x-1
y
Answer:
c
Step-by-step explanation:
In right triangle ABC, m angle B ne m angle C Let sin B = r rand cos B = What is sin C- cos C?
A. r+s
B.r-s
C.r/s
D.s-r
Help pls
A silo contains 20 pounds of corn per foot in height. Looking at the model below, about what is the maximum amount of corn the actual silo could hold?
A. 60 pounds
B. 300 pounds
C. 900 pounds
D. 2000 pounds
Answer: its actually 900
Step-by-step explanation:
Which expression is equivalent to 6x - 5 - 2x + 1?
Answer: 4x-4 is the correct answer
Step-by-step explanation that is the correct answer
Rudolph can fly 5 miles in 12 seconds. At
that rate, how many miles can he fly per
minute?
Answer:
25 mpm
Step-by-step explanation:
60 devided by 12 = 5
5 times 5 = 25 mpm
helppppppppp pleaseee
Answer: 1 10/39
Step-by-step explanation:
Suppose there are 19 students in the class a teacher at 122 pencils and passes them out to the class estimate the number of pencils in each student will receive
factorize 2xy - 8x + 5y -20
The factors for 2xy - 8x + 5y -20 is ( 2x + 5 ) ( y - 4 ).
Given 2xy - 8x + 5y -20
By writing like terms on one side
2xy - 8x + 5y - 20
By taking common terms outside we get
2x ( y - 4) + 5 ( y - 4)
By taking common terms we get
( 2x + 5 ) ( y - 4 )
Therefore the factors for 2xy - 8x + 5y -20 is ( 2x + 5 ) ( y - 4 )..
To learn more about factors refer below.
https://brainly.com/question/15156849
#SPJ9
please help this is due at 11
me at 1:36pm: oh no, i hope he got his answer
How oils the following triangle be classified ?
A. Isosceles acute
B. Scalene acute
C. Scalene Antier
D.isosceles obtuse
Please help , Simplify 3 to the power of 8 divided by 3 to the power of 2
The expression 3⁸ / 3² is equal to 3⁶.
When dividing two numbers with the same base, we subtract the exponents. In this case, we have:
3⁸ / 3²
To simplify, we subtract the exponent of 3² from the exponent of 3⁸:
3⁽⁸⁻²⁾
3⁶
Therefore, 3⁸ / 3² is equal to 3⁶.
Learn more about Exponent and power here:
https://brainly.com/question/28515493
#SPJ6
A boat is being towed such that the tow line is at an angle of 30° with respect to the surface of the ocean. If the boat is towed with a force of 50 Newtons for 7,000 meters, approximately how much work is done?
A. 152,000 Joules
B. 175,000 Joules
C. 303,000 Joules
D. 350,000 Joules
Answer:
C. 303,000 Joules
Step-by-step explanation:
1. use abcos(theta)
a=50
b=7000
theta=30 degrees
2. (50)(7000)cos(30)=303,000
Answer:
C: 303,000 Joules
Step-by-step explanation:
Edge 2020
you run 3 miles in 19.5 minutes. your friend runs 2 miles in 13.5 minutes. who is faster you or your friend? how many minutes sooner will the faster runner will finish a mile race?
Answer:
You are faster. You are 0.25 min faster (15 seconds faster)
Step-by-step explanation:
you 19.5/3 =6.5 minutes per 1 mile
The friend 13.5/2 = 6.75 minutes per 1 mile
you run 1 mile in 6.5 minutes
the friend runs 1 mile in 6.75 min
10 minutes to complete helpppp!!!!
Answer:
that will be the incenter
Step-by-step explanation:
ANSWER ASAP DUE AT 1 QUESTION 4!!! 15 POINTS
I need a little more help :( 2/3 = ?/9 3/5 = ?/20 2/10 = ?/20 1/3 = ?/6 4/6 = ?/12
Answer:
2/3 = 6/9
3/5 = 12/20
2/10 = 4/20
1/3 = 2/6
4/6 = 8/12
what is the value of the expression -36 + 7
Answer:
-29
Step-by-step explanation:
subtract the negative from positve
Find the volume of a right circular cone that has a height of 16.8 in and a base with a
radius of 4.7 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Volume of right circular cone is 388.43 in³
Step-by-step explanation:
Height of circular cone = 16.8 in
Radius of circular cone = 4.7 in
We need to find Volume of right circular cone
The formula used for calculating volume of a right circular cone is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]
Putting values and finding volume
[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14\times (4.7)^2 \times \frac{16.8}{3}\\Volume=3.14\times 22.09 \times 5.6\\Volume= 388.43 \:in^3[/tex]
So, Volume of right circular cone is 388.43 in³
can someone help me on this
Answer: ur answer is 4
Step-by-step explanation:
What is the value of x in the diagram below? 2 right triangles are stacked. The bottom triangle has a side length of 9 units and an adjacent angle measure of 30 degrees. The top triangle has a hypotenuse length of x and an angle measure of 45 degrees. StartFraction 18 Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 2 EndRoot Over StartRoot 3 EndRoot EndFraction StartFraction 18 StartRoot 3 EndRoot Over StartRoot 2 EndRoot EndFraction 18 StartRoot 2 EndRoot Mark this and return
Answer:
18 sqrt2/ sqrt3
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
Trust me edge 2022
Mrs. Peters purchased 120 flowers. The total cost was $55.20. After planting all of the flowers, Mrs. Peters decided she needed an additional 18 plants. About how much should she expect to pay total for the additional flowers.
Answer: 39.13 for 18 plants
Step-by-step explanation:
120/55.20= 2.17 dollars per plant
18*2.17=39.13
Mr. Garrison sold 17 pounds of oranges at the flea market. The oranges
sold for $1.78 per pound.
How much did Mr. Garrison receive for the oranges he sold?
( 1pound = $1.75 )
Contains (1, −3) and has the same stretch factor as
f(x) = 3x2.
Vertex has x-coordinate of −1.
The obtained quadratic function has the same stretch factor as the given function and contains the given point is y = 3x² + 6x - 12
What is defined as the quadratic function?A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and an is not equal to zero. A parabola is a curve that represents the graph of a quadratic function.
Because a quadratic function is indeed a parabolic curve, we use the standard parabola equation.
y = a(x - h)² + k
where a = stretch factor,
h = x-coordinate of vertex and
k = y-coordinate of vertex.
The quadratic function incorporates the point (1, -3) and has the vertex x-coordinate at x = -1. h = -1 is the answer.
It also has the stretch factor of f(x) = 3x². So, a = 3.
Thus, y = a(x - h)² + k
y = 3(x - (-1))² + k
y = 3(x + 1)² + k
Now, because the quadratic function proceeds through (1, -3), we have
y = 3(x + 1)² + k
-3 = 3(1 + 1)² + k
-3 = 3(2)² + k
-3 = 3(4) + k
-3 = 12 + k
k = -3 - 12
k = -15
Similarly, find the value for y.
y = 3(x + 1)² + k
y = 3(x + 1)² - 15
y = 3(x² + 2x + 1) - 15
y = 3x² + 6x + 3 - 15
y = 3x² + 6x - 12
Therefore, the equation of the quadratic function that contains the given point and has the same stretch factor as the given function is y = 3x² + 6x - 12.
To learn more about quadratic functions, here:
brainly.com/question/10606041
#SPJ9
The complete question is-
Write the equation of the quadratic function that contains the given point and has the same stretch factor as the given function.
Contains (1, −3) and has the same stretch factor as
f(x) = 3x².
Vertex has x-coordinate of −1.