Answer:Step by Step Solution
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
h*(t)-(16*t^2+192*t)=0
STEP
1
:
Equation at the end of step 1
ht - (24t2 + 192t) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
ht - 16t2 - 192t = t • (h - 16t - 192)
Equation at the end of step
3
:
t • (h - 16t - 192) = 0
STEP
4
:
Theory - Roots of a product
4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.2 Solve : t = 0
Solution is t = 0
Equation of a Straight Line
4.3 Solve h-16t-192 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line h-16t-192 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
Calculate the X-Intercept :
When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000
h-intercept = 192/1 = 192.00000
Calculate the Slope :
Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.125/2.000 = 0.062
Geometric figure: Straight Line
Slope = 0.125/2.000 = 0.062
h-intercept = 192/1 = 192.00000
t-intercept = 192/-16 = 12/-1 = -12.00000
t = 0
Step-by-step explanation:
How to include a negitive number (s) in a math problem
Answer:
Adding a negative number is the same as subtracting a positive number — that is, go down (to the left) on the number line. This rule works regardless of whether you start with a positive or negative number.
Step-by-step explanation:
please help me i’m being timed
Which of the following shows a correct estimate for 26% of 78?
Answer:answer is 13
Step-by-step explanation:
So, 26% multiplied by 78 = 2,028 But wait, we have to estimate, means less it.. So, 2,028 = 13 I have reduced 2,028 by dividing it. Answer = 13
Gold and silver are mixed in the ratio 7:4.if 36gm of silver is used.How many gold is used
Answer:
63gm
Step-by-step explanation:
7 gold : 4 silver
It gives you 36 silver.
to get from 4 silver to 36 silver you multiply by 9.
you multiply the gold by the same amount 9.
7*9= 63
you can see that for every 7 gold pieces there is 4 silver pieces. they keep piling up the pieces until there's 36 silver pieces. now they wanna know how much gold there is.
1 4 cm 4 cm 5 cm 3 cm Perimeter: Area:
Answer:
Step-by-step explanation:
840
Select the correct answer.
If a line crosses the yaxis at (0, 1) and has a slope of 4/5', what is the equation of the line?
O A 4y-5x= 5
OB. y - 4x = 5
OC. 5y + 4x = 5
OD. 5y - 4x = 5
Answer:
Your correct answer should be D.
I graphed on Desmos.
Step-by-step explanation:
May I please receive help?
Answer:
X = 40°
Step-by-step explanation:
The triangle on the left is an Isosceles triangle which means it has 2 equal sides. So, to find the third angle, u have to minus 180 and both the base angles.
180° - 35° - 35°
= 110°
Then, minus 180 with the right triangle base bcs a straight line is 180°.
So,
180 - 110
= 70°
Now u got the right triangle base which is also an isosceles triangle so both angles are 70°
Now to find the third angle, minus 180 to both the base angles
180 - 70 - 70
= 40°
And that's your answer.
Write equation in slope intercept from of the line
Answer:
y= 1/2x + 3
Step-by-step explanation:
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What is the sum of the roots of the equation 2 x^2 + 5 x − 3 = 0?
a)-3.5
b)-2.5
C)-1.5
D)2.5
Answer:
B) -2.5
Step-by-step explanation:
2x^2 + 5x -3 = 0
(2x - 1)(x + 3) = 0
2x - 1 = 0; 2x = 1, so x = 1/2 = ROOT 1
x + 3 = 0, so x = -3 = ROOT 2
Now add the roots: -3 + 1/2 = - 2 1/2, so the answer is B.
Question 3
Considering that Carl is 44 years old, what is the probability that he will live to the age of 85?
Answer:
Considering that Carl is 44 years old, what is the probability that he will live to the age of 85? 0.3298
Step-by-step explanation:
any tips on eaiser ways to factor completely. algebra 2!! please
watch a lots of videos and look at reliable resources brainley is not reliable by the way
Algebra 2 - Factoring Polynomials - You Tube
Step-by-step explanation:
any of these top videos are helpful anything specific you need help with
guys pls help me!!!!!!
Answer:
x=32
Step-by-step explanation:
Find the slope of the line
(2,3) (13,8)
Answer:
[tex]\boxed{m=\frac{5}{11}}[/tex]
Step-by-step explanation:
[tex]\left(2,\:3\right)\:\left(13,\:8\right)[/tex]
[tex]\mathrm{Slope}=\cfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:3\right)[/tex]
[tex]\left(x_2,\:y_2\right)=\left(13,\:8\right)[/tex]
[tex]Slope(m)=\frac{8-3}{13-2}[/tex]
[tex]m=\frac{5}{11}[/tex]
Problem 2) write an equation for the following situation.
Jacob raises goats. He spends $75 to set up his goat pen. He has to spend $12 per day to feed
his goats.
Answer:
75 + 12d
Step-by-step explanation:
he pays $75 dollars up front. he then pays a rate of $12 per day
The map shows the location J of Jose's house, the location of Tyrell's house, and the
location Fof the football field. Jose is going to Tyrell's house and then the two of them are
going to the football field for practice. How far did Jose travel to football practice?
Using distance between two points, it is found that Jose traveled 25 units of length to football practice.
The distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
First, Jose goes from his house, at (-6,8), to Tyrell's house, at (6,8), thus:
[tex]D_1 = \sqrt{(6 - (-6))^2 + (8 - 8)^2} = \sqrt{12^2} = 12[/tex]
Then, he goes from Tyrell's house, at (6,8), to the football field, at (6, -5), thus:
[tex]D_2 = \sqrt{(6 - 6)^2 + (-5 - 8)^2} = \sqrt{13^2} = 13[/tex]
The total distance is:
[tex]D = D_1 + D_2 = 12 + 13 = 25[/tex]
Jose traveled 25 units of length to football practice.
A similar problem is given at https://brainly.com/question/22532602
What is the value of each minor gridline?
Answer:
Minor Gridlines will separate units that are traced or delineated by major gridlines. They will also only appear for value axes.
I hope this helps
Raise the fraction to its highest terms by supplying the missing numerator.7/8=?/240
The required simplified value of the given expression is 210
As mentioned in the question,
To raise the fraction to its highest terms by supplying the missing numerator.7/8=x/240.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
according to the question,
7 / 8 = x / 240
x = 7/8 × 240
x = 7 × 30
x = 210
Thus, the required simplified value of the given expression is 210.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Is side lengths 48, 55, and 73 a right triangle
A line passes through the point (2, 4) and has a slope of -5/2
Answer:
y = -5/2 + 12
Step-by-step explanation:
What is the value of the expression (2 1/4 - 7 1/2) - (-1 1/4)
Answer:
-4
Step-by-step explanation:
2 1/4 - 7 1/2 = -5.25
-5.25 - (-1 1/4) = -4
Answer:
=24/142
4
=-188/4+111/4
= -7/4 ANS.
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Nat’s grocery bill was $150, which included a 5% club discount. What was Nat’s bill before the discount? Write and solve an equation.
Answer:
157.89
Step-by-step explanation:
Penny is saving money to buy a bicycle that costs $129.89 . Each week she saves $15.75 . How many weeks will it take for Penny to save the money she needs?
Answer:
It will take roughly 8 weeks to save the money she needs
Step-by-step explanation:
129.89 ÷ 15.75 = 8.246984126984
Answer: 9 weeks
Explanation:
It would take her 9 weeks for her to save at least $129.89 with a leftover of $11.86.
What is the slope of a line that is perpendicular
to a line with a slope of -⅓
Answer:
3/1, or 3
Step-by-step explanation:
When you have a perpendicular line, if it is a negative, you take away the negative, and if it is a fraction, you turn it upside down. 1/3 becomes 3/1.
Determine the effective annual yield for $1 invested for 1 year at 3.7% compounded semiannually.
10%
Answer:
$0.035
Step-by-step explanation:
क
Where on the coordinate plane is the point (-85, 52) located?
O Quadrant 4
O Quadrant 2
Quadrant 3
O Quadrant 1
Next >
Previous
Answer:
quadrant 2 you're welcome :-)
Answer:
Quadrant 2
Step-by-step explanation:
Since the x coordinate is negative, it must in quadrant 2 or 3
Since the y coordinate is positive, it must in quadrant 1 or 2
It must be in quadrant 2
Someone help me I will mark you as brain
Step-by-step explanation:
that is really, really simple.
h(-3) means that we put the argument (-3) into the formula of the function everywhere where there is x.
h(x) = -3x - 10
so,
h(-3) = -3×-3 - 10 = 9 - 10 = -1
Answer:
-1
Step-by-step explanation:
h(x) = -3x - 10
h(-3) means to replace the x in the problem with the value of -3 and
solve.
h(-3) = -3(-3) - 10
h(-3) = 9 - 10
h(3) = -1
Find the area I will make you Brainliest (show working) the bottom number is 8 cm where it says liveworksheets
Answer:
228cm^2
Step-by-step explanation:
Multiply 18cm by 10cm:
18 x 10 = 180cm^2
So we have the area of the biggest/top part: 180cm^2
For the bottom part:
You've said the length of the bottom side is 8cm.
We know the length of the biggest side: 24cm. And we know the length of the opposite side: 18cm. So, to find the length of the missing side, it's simple subtraction:
24cm - 18cm = 6cm
So now we have lengths for 2 sides: 8cm and 6cm.
Multiply these to give the area:
8cm * 6cm = 48cm^2
Add these areas of both shapes together to give total area:
180cm^2 + 48cm^2 = 228cm^2
I really need some help
Answer:
y-2=2(x-12)
the alternative is
y+3=2(x-2)
Step-by-step explanation:
Plsplspslsplspslspls help me
Answer:
16. -16+7=-9
17. -11+1=-10
18. 12+13=25
19. -4+(-8)=-12
Robin Bolton earns a monthly gross salary of 3,280 as a medical assistant she is considering a new position as a medical office manager which would pay 14.90 an hour with time and a half per hour for all 40 per week how many of overtime per week would robin need to work to earn the same amount as her current job
The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.
Monthly gross = 3,280 Weekly gross = 3280 / 4 = 820New position :
Pay per hour = 14.90Overtime = 1.5(14.90) = 22.35Let the number of overtime hours required weekly = t
Hence,
(14.90 × 40) + 22.35t = 820
596 + 22.35t = 820
22.35t = 820 - 596
22.35t = 224
t = 224 / 22.35
t = 10
Therefore, he'll need 10 hours of overtime.
Learn more : https://brainly.com/question/18112348