The height of the object after 1 sec is 284 feet
Equation of height of an objectGiven the equation of height of an object expressed as:
h(t) = -16t^2 + 300t
We are to find the height of the object after 1 sec. To do that, we will substitute t = 1 into the following expression
h(t) = -16t^2 + 300t
h(1) = -16(1)^2 + 300(1)
h(1) = -16 + 300
h(1) = 284ft
Hence the height of the object after 1 sec is 284 feet
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The expression 55 + 14m - 2n + 3p has
terms.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Anѕwєr}}[/tex]
To get the number of terms in an expression we have to add the like terms, and after that the different terms separated by mathematical operators (+ and -) are the required number of terms !
That is :
[tex]\qquad \sf \dashrightarrow \: 55 + 14m - 2n + 3p[/tex]
here, since we don't have like terms, let's skip the first part.
So, total number of terms = 4
find the numerical value of the following expression X+y-z, when X=3,y=-2 and Z=-9
Answer:
10
Step-by-step explanation:
after substituting in the values of each variable, the expression becomes..
3 + (-2) - (-9)
= 3 - 2 - (-9)
= 1 - (-9)
= 1 + 9 = 10
the hire purchase of a car is 680000 naira. there is a deposit of 12.5 percent. the remainder is spread over 12 equal monthly instalment. find the deposit , calculate the remainder to be paid and find the amount of each monthly instalment to the nearest naira
Answer:
Step-by-step explanation:
I am not sure why there is no interest rate given as it is common that there will be an interest charge for a monthly installment plan.
Assuming it is an interest-free plan, the remainder payment is for an amount of:
680000*(1 - 12.5%)
= 680000*(0.875)
= 595000 naira
Dividing that into 12 equal monthly, each monthly installment is
595000/12 = 49583.33
~49583 naira
A line passes through the point (-8,4) and has a slope of . -5/2
Write an equation in slope-intercept form for this line.
Answer:
Y= -5/2x +16
Step-by-step explanation:
To solve this, understand that (-8,4) is (x,y)
And Slope intercept form is y=mx +b
Since you have a possible x and y with - 8 and 4, sub that in making it 4=m(-8) + b
We also have the Slope (or M) which is -5/2, sub that in and get 4 = -5/2 (-8) + b
Do the multiplication and get 4= 40/2 +b
Simplify to 4= 20 + b
Then re-arrange to have the unknown (b) on one side and known on the other (when you move a number over the equal sign its sign, positive or negative, becomes the opposite)
B= 20-4
Subtract
B= 16
Now you know the b and can add it to your equation,
Y= -5/2x +16
Answer:
y = -5/2x - 16.
Step-by-step explanation:
First use the point-slope form of a line:
y - y1 = m(x - x1)
y - 4 = -5/2(x - (-8))
y - 4 = -5/2x - 40/2
y = -5/2x - 20 + 4
y = -5/2x - 16.
In a two digit number. the unit digit is thrice the tens digit. if 36
is added to the number, the digits interchange their place. find the number
Answer:
Step-by-step explanation:
answer: the original number is 62.
Given :
Units digits is thrice the tens digit
The digits interchange when - 36 is added
To find :
The number
Solution :
✯
Let the digits be -
Units place as 3y
Tens place as 10(y)
⇒ 10(y) + 3y
⇒ 10y + 3y
⇒ 13y --------- (Orignal Number)
✯
Let the digits be -
Units place as y
Tens place as 10(3y)
⇒ 10(3y) + y
⇒ 30y + y
⇒ 31y --------- (Number with reversed digits)
✯
The number gets reversed when 36 is added to it.
⇒ 13y + 36 = 31y
⇒ 13y - 31y = - 36
⇒ 18y = 36
⇒ y = 36/18
⇒ y = 2
✯
⇒ 13y
⇒ 13(2)
⇒ 26
✯
The units place should be thrice of the tens place,
⇒ 2 × 3 = 6
Units place is 6
Reversed digits are 62,
⇒ 26 + 36 = 62
⇒ 62 = 62
The Orignal Number is 62.
not sure how to use the symbols...
3 over y-4 + 3 over y+4 add and simplify
Answer:
6y
------
y^2 -16
Step-by-step explanation:
If we are traveling 70 miles per hour on a trip from Austin to Dallas which is 210 miles away how long will it take to get to Dallas assuming we can drive straight there and there are no traffic delays?
Answer:
It will take three hours.
Step-by-step explanation:
210/70 = 3
Solve for k. 2/5k + 3/10k = 42 Enter the answer, as a whole number or as a fraction in simplest form, in the box. k =
i
Answer:
30k + 1 -1
Step-by-step explanation:
hope this helps
the legs of a right triangle measure 5√2 cm and 4√2 cm. find the area
Answer:
ugiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiigygyu
Step-by-step explanation:
What is the value of x-3
Answer:
+3
Step-by-step explanation:
what is the square root of 2?
Answer:
the square root of 2 is approximately 1.41
Step-by-step explanation:
Hope that helps!
Answer:
The answer is 1.41421356237...
Step-by-step explanation:
the square root of 2=2^1/2
2=2^1/2
2^12=1.41421356237...
The square root of 2=1.41421356237...
1.41421356237...
Find the value of xx, yy, and zzz in the rhombus below.
Answer:
x = 13; y = 13; z = 18
Step-by-step explanation:
In a rhombus, opposite angles are congruent and consecutive angles are supplementary.
6x + 8 = 86
6x = 78
x = 13
7y + 3 + 86 = 180
7y + 89 = 180
7y = 91
y = 13
5z + 4 + 86 = 180
5z + 90 = 180
5z = 90
z = 18
Answer:
x=13
y=13
z=18
Step-by-step explanation:
got right on delta
2
3
of the pupils in Class 5A are swimmers.
2
3
of the swimmers are boys.
What fraction of the pupils are boy swimmers?
Answer:
2/3.
Step-by-step explanation:
I believe to the best of my ability. Could you help me with my question? It is on my page and its the most recent one that I have posted. I need help on it ASAP. It is 8th grade level.
find the value of X. nothing else to say really
pls help!!
i’m having trouble understanding trigonometry
Answer:
○ C. [tex]\displaystyle 10\:in.[/tex]
Explanation:
In an equilateral triangle, all angles and edges are congruent, so with that, you have your answer.
I am joyous to assist you at any time.
The equation is y=mx+b.
My question is, is ‘b’ supposed to be in decimal form or in fraction form??
Answer: both ways are acceptable
Step-by-step explanation: When writing equations of lines in this form,
we usually keep the "b" value or the constant term as a fraction.
However, if you prefer decimals, you can absolutely change
it to a decimal to visualize is better if you'd like, it's really your choice.
For example, if the equation of a line was y = -3/4x - 7/4, I could leave
it how it is or I could change the -7/4 to -1.75 giving me y = -3/4x - 1.75.
Which expression is NOT equivalent to -20?
O
A
(-80)
4
80
В
— (0)
ОО
с
(30)
80
ор
80
(-4)
Answer:
Which expression is NOT equivalent to -20? O A (-80) 4 80 В — (0) ОО с (30) 80 ор 80 (-4 -
Step-by-step explanation:
rate of change for y=-2x
Answer: y
=
2
x
−
2
,
(
−
2
,
7
)
Step-by-step explanation:
(
2
(
7
)
−
2
)
−
(
2
(
−
2
)
−
2
)
(
7
)
−
(
−
2
)
write the coordinates of the center and the length of the radius.
Answer:
Step-by-step explanation:
Center: (7, -13)
Radius = 9
1. Which of the following triangles is classified as a right triangle?
a triangle with side lengths of 5, 12, 16
a triangle with side lengths of 10, 11, 14
a triangle with side lengths of 3, 4, 6
a triangle with side lengths of 12, 16, 20
Answer:
a triangle witih side lengths of 12,16,20
The expression, 2/3, can mean which of the following?
A. 2 parts of size 3 each
B. 3 parts of size 2 each
C. 3 parts of size each
D.2 parts of size each
(PLEASE I NEED HELP)
Answer:
i am pretty sure its B..............
How many 1/4 are in 3
Answer:
3 ithinks so it lol haha
Answer: 12
Step-by-step explanation:
The are 4 1/4 in 1
3x4=12
a cell phone tower services about 1,256sq. miles what is the radius?
Start with the formula for finding the area of a circle.
A=πr2
First, substitute the given information in the equation. You have the area and you know that pi is 3.14.
153.86=(3.14)r2
Next, divide the area by pi. This will help to get one step closer to figuring out the radius.
3.14)153.86¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Remember, when you divide decimals, to move the decimal two places in the divisor and the dividend.
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 49− 1256 –––––––– 2826 − 2826–––––––0
So far, the answer is 49, but that is not the radius because r2 is on the right side of the equal sign.
49=r2
Then, you need to figure out which number times itself is equal to 49. You can figure this out by finding the factors of 49.
7×7=49
Now, you know that the radius is 7 inches because 7×7=49.
The radius is 7 inches.
Finally, to figure out the diameter, which is twice the radius, multiply the radius by 2.
7×2=14
The diameter is 14 inches.
hope this helps.
The radius covered by the tower will be 20 miles.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that a cell phone tower services about 1,256sq. miles. The area of the circle will be calculated by the formula,
Area = πr²
1256 = π x r²
r² = ( 1256 / π )
r² = 400
r = √400
r = 20 miles
Hence, the radius of the circle will be 20 miles.
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What amount should you invest now if after 4 years you want a final value of $15000 based on 6%
interest compounded quarterly?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$15000\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]15000=P\left(1+\frac{0.06}{4}\right)^{4\cdot 4}\implies 15000=P(1.015)^{16} \\\\\\ \cfrac{15000}{1.015^{16}}=P\implies 11820.47\approx P[/tex]
A line passes through the point (7,9) and has a slope of 2.
Write an equation in slope-intercept form for this line.
Answer: y = 2x - 5
Step-by-step explanation:
slope- intercept form is always written as y = mx + b, where m = slope, and b is the y-intercept.
To find b, substitute the point and the slope into the equations, you will get:
y = mx + b
9 = 2(7) + b
9 = 14 + b
-5 = b
Plug in m and b into the equation, we get:
y = mx + b
y = 2x + (-5)
y = 2x - 5
write in standard form. y=−5/6x−8/3
[tex]y = - \frac{5}{6} x - \frac{8}{3} [/tex]
[tex]6 \times y = - \frac{5}{6} x\times 6 - \frac{8}{3} \times 6[/tex]
[tex]6y = - 5x - 16[/tex]
[tex]5x + 6y = - 16[/tex]
find the measure of the angle
Answer:
answer is 90° - 80° = 10° because each quartile equals 90°
Rayna Prater's gross biweekly pay is $2,420. Her earnings to date for the year total
$58,080. What amount is deducted from her pay for Social Security, which is taxed at
6.2%? What amount is deducted for Medicare, which is taxed at 1.45%?
Answer:
$35.09
Step-by-step explanation:
Which is the point-slope form of a line that has a slope of -4 and passes through point (-3,1)?
Hi!
The point-slope formula looks like this:
y-y1=m(x-x1)
in this case
y1=1
m=-4
x1=-3
plug in the values
[tex]\boxed{\boxed{\bold{y-1=-4(x-(-3)}}}[/tex]
Note:
For Point-Slope Form, we use a point that the line passes through and the slope of the line.
Actually, that's why it's called "Point-Slope Form" right? =)
Hope everything is clear.
Let me know if you have any other questions; if so, please feel free to use the comment section.
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[tex]\rule{200}{2}[/tex]
What is the narrowest definition of the number -6?
The narrowest definition of the number -6 is, it is the exact opposite of 6.
What is negative numbers?A real quantity having a value less than zero is said to be negative numbers.
Given a number -6
It is exact opposite of number 6.
Hence, The narrowest definition of the number -6 is, it is the exact opposite of 6.
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