Dropping the object from a height is an illustration of an object in free fall. The object should be dropped at 2304 feet above the sea level.
Given that:
[tex]t = \frac 14 \sqrt h[/tex]
The height is calculated as follows:
[tex]t = \frac 14 \sqrt h[/tex]
Multiply both sides by 4
[tex]4t = \sqrt h[/tex]
Square both sides
[tex]16t^2 = h[/tex]
Rewrite as:
[tex]h = 16t^2[/tex]
The object reaches the ground in 12 seconds.
So: [tex]t = 12[/tex]
This gives:
[tex]h = 16 \times 12^2[/tex]
[tex]h = 2304[/tex]
Hence, the object should be dropped at 2304 feet above the sea level.
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What is the number which when divided by 26 gives 15 as
quotient and 8 as remainder
Answer:
398
Step-by-step explanation:
multiply 15 by 26 then add 8. check answer by dividing 398 by 26 using long division, not a calculator. you will get a decimal or fraction if you do
Jasper Hall sells farm chemicals. He is paid a commission of 99% of his first $6,000 in sales during the month and 14% on all sales over $6,000. What is his commission in a month in which he has sales worth $16,120?
Amount of total commission is $1,956.8 (Approx.)
Given:
Percent of commission upto $6,000 sale = 9% (Misprint)
Percent of commission over $6,000 sale = 14%
Amount of total sales = $16,120
Find:
Amount of total commission
Computation:
Amount of commission upto $6,000 sale = 6000 × 9%
Amount of commission upto $6,000 sale = $540
Amount remain = 16120 - 6000
Amount of commission upto $6,000 sale = $10,120
Amount of commission over $6,000 sale = 10,1200 × 14%
Amount of commission over $6,000 sale = $1,416.8
Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale
Amount of total commission = 540 + 1,416.8
Amount of total commission = 1956.8
Amount of total commission = $1,956.8 (Approx.)
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Find the circumference of a circle if the area of the circle is 256 π in².
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in
evaluate the function
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
-18 divided by 9
-5x(-7)
Answer:
1) -18 divided by 9 is -2
2) -5x(-7) is 35x
Step-by-step explanation:
[tex] - 18 \div 9[/tex]
[tex] = - (18 \div 9)[/tex]
[tex] = - 2[/tex]
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
[tex] - 5x( - 7)[/tex]
[tex] = 5x \times 7[/tex]
[tex] = 35x[/tex]
Which geometric term is modeled by the stop sign
Is the relation {(9, 1), (8, -2), (7, 0), (6, 5)} a function?
Yes or No
Answer:
Since there is one value of y for every x in the relation above, yes this relation is a function.
I hope this helped you get to your answer, or at least help you out a bit. Thanks and have a great day of learning!
the size of a rectangular photo frame 12 11/16 cm by 8 3/4 cm. which of the following gives the product of these dimentions rounded to the nearest whole number of centimeters
A. 12 cm x 8 cm
B. 12 cm x 9 cm
C. 13 cm x 8 cm
D. 13 cm x 9 cm
Answer:
option D is correct
Step-by-step explanation:
=12 11/16 × 8 3/4
=203/16 × 35/4
=12.6875 × 8.75
After rounding of:
=13 cm × 9 cm.
Hey! If you have any confusion ,ask me any question about it.Thanks
if x=2,y=3 and z=4 find yz÷x 10x+7xz
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
What are “DEC” and “CEF” I will mark the brainiest
[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]
[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]
[tex]\\ \rm\longmapsto 13x-1=180[/tex]
[tex]\\ \rm\longmapsto 13x=169[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]
[tex]\\ \rm\longmapsto x=13[/tex]
Now
[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]
[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]
Answer:
∠ DEC = 142°, ∠ CEF = 38°
Step-by-step explanation:
∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so
11x - 12 + 2x + 10 = 180 , that is
13x - 2 = 180 ( add 2 to both sides )
13x = 182 ( divide both sides by 13 )
x = 14
Then
∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°
∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°
find the numerical cofficient and literal cofficient in 7xy
[tex]numerical \: coefficient \: = > 7 \\ \\ literal \: coefficient \: = > \: xy[/tex]
hope that helps uh..☺
You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?
Answer:
DCC
Step-by-step explanation:
CDDCDC
Different type of spaghetti dinners is 8
What is combination ?
"The number of possible arrangements in a collection of items where the order does not matter."
For 4 different shaped of noodles = ⁴c₁
⁴c₁ = 4
For two kinds of cheese = ²c₁
²c₁ = 2
Now , multiplying these 4×2 = 8
Hence, 8 type of spaghetti dinners
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PLSLSLSLSLSL HELPPPPP
Answer:
100 ( 4 - π rad )
Jdnzjdhbdudhejdjejd
What number should be added to -4/7 to get 5/9?
9514 1404 393
Answer:
71/63
Step-by-step explanation:
Let n represent the number of interest.
-4/7 + n = 5/9 . . . . . n must be added to -4/7 to get 5/9
n = 5/9 + 4/7 = (35 +36)/63 = 71/63
The number 71/63 must be added to -4/7 to get 5/9.
i dont know what to do help its timed
Answer:
The choose 3.
[tex]f(x) = 0.5(0.2^{x} )[/tex]
f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1
f(2)=0.5(0.2²)=0.5×0.04=0.020
I hope I helped you^_^
In slope-intercept form, write the equation of
the line that passes through the point (-8,2)
with a slope of
1/2
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
2 = 1/2(-8) + b
2 = -4 + b
6 = b
Find the value of (625)1/4 i want the answer fast please
Answer:
625 =5⁴
so ( (5)⁴)^1/4
that is 5
pls follow me
please help me with this ixl i beg you
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
You are offered two jobs. One with a yearly salary of $54,262, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Answer:
126.5 or 126 and 1/2 (one half)
Step-by-step explanation:
To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.
54,262/52 = 1043 and 1/2 or 1043.5
Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.
and that number for 26 * 45 is 1170.
Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.
To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.
That is 126.5 or 126 and 1/2 (one half)
Jane has 63m ribbon.If she cuts 56m 21cm ribbon from it,what length of ribbon will be left.
I need help please I’m not sure how to do this
Answer:
This is just simply saying 1 divides by 2 we that is 0.5 in decimal
Hope I helped
(1-cosx)(1+1/cosx)= sinx tanx
Answer:
Step-by-step explanation:
[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]
[tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]
= Sin x * Tan x
Hence proved
Whats 2/5 as a decimal??
Answer:
0.4
Step-by-step explanation:
divide simply the given problem by using calculator
Answer:
0.4
Step-by-step explanation:
2/5 turned into a decimal is simply 0.4! Hope it helps :)
find 6x+y when x=5 and y=7
Answer:
37
Step-by-step explanation:
6x+y
Let x = 5 and y = 7
6*5+ 7
Multiply
30 +7
Add
37
Please answer ASAP please and thank you
Answer:
2 (15/28)
Step-by-step explanation:
[tex]5 \frac{1}{4} - 2 \frac{5}{7} \\ = \frac{21}{4} - \frac{19}{7} \\ = \frac{21\times 7}{4 \times 7} - \frac{19 \times 4}{7 \times 4} \\ = \frac{147}{28} - \frac{76}{28} \\ = \frac{(147 - 76)}{28} \\ = \frac{71}{28} \\ = 2 \frac{15}{28} [/tex]
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2
Find F[G(x)] - F(x).
4x + 4
4x
4x + 2
Step-by-step explanation:
F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3
F[x]=2x-1
F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1
=4x+2
answer=4x+2
Answer: A
Step-by-step explanation:
[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]
d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)
Help As soon as possible please with picture please
Answer:
Below.
Step-by-step explanation:
I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.
Tan 30 = h/ (x + 10)
tan 45 = h/x where h is the height of the tower.
From the second equation x = h / tan45
Substituting in the first equation;
tan30 = h / (h/tan45 + 10
Tan 30 = 1/ √3 and tan 45 = 1 so
1/ 1.732 = h/ (h + 10)
0.5774 = h/(h + 10)
h = 0.5774h + 57.74
0.4226 h = 57.74
h = 136.6 m to nearest tenth.
Value of expression 3-15 /7
Answer:
6/7
Step-by-step explanation:
3-15 /7
3 - 15/7
= 6/7
f(x)=|-3x+4|+5 help?
Answer:
This will plot as an upward "V" with the vertex at x = 4/3, y = 5
Step-by-step explanation:
The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so
-3x + 4 = 0
-3x = -4
x = 4/3
which makes y = 5 (the minimin)