Answer:46
Step-by-step explanation:
An arrow is shot vertically upward from a platform 19ft high at a rate of 163ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0. (Round your answer to the nearest tenth.)
Answer: 10.3 s
Step-by-step explanation:
Given
The height of the arrow is given by [tex]h=-16t^2+v_ot+h_o[/tex]
At [tex]t=0, h=19\ ft[/tex]and [tex]v_o=163\ ft/s[/tex]
When arrow hits ground, h becomes 0 i.e.
[tex]\Rightarrow 0=-16t^2+163t+19\\\Rightarrow 16t^2-163t-19=0\\\\\Rightarrow t=\dfrac{163\pm \sqrt{(-163)^2+4(16)(19)}}{2(16)}\\\\\Rightarrow t=-0.115,10.30\ s[/tex]
Neglecting the negative value of t
So, the arrow hits the ground after 10.30 s
a rectangular swimming pool is 15 meters long, 12 1/2 meters wide and 2 1/2 meters deep. what is the pools volume?
Answer:
468.75 Cubic meters
Step-by-step explanation:
15 x 12.5 x 2.5 = volume
187.5 x 2.5 = volume
468.75 = volume
Answer:
its 393.75 cubic meters
Step-by-step explanation:
I hope this helps
What's the sign of (-4/9)(7/4)
Answer:
-7/9
Step-by-step explanation:
= (-4/9) x (7/4)
= -4/9 x 7/4
= -28/36 (simplifying gives -7/9)
Use this system of linear equations to solve for x. 3x+5y=6 and 2x+y=4
Answer:
x=2
HPT 3x+5y=6 (1) và 2x+y=4 (2)
Nhân phương trình (2) với 5 để hệ số y của 2 phương trình bằng nhau. Ta có:
(2)⇔ 10x+5y=20(3)
Trừ (3) cho (1), có: 7x+0y=14⇒x=2
Answer:
3x+5y=6.....eqn 1
2x+y=4.......eqn 2
y=4-2x.....eqn 3
Step-by-step explanation:
substitute eqn 3 into eqn 1
3x+5(4-2x)=6
3x+20-10x=6
-7x = -14
x=2
Find the missing side lengths. Round all answers to the nearest tenth.
Answer:
81
Step-by-step explanation:
90+25= 115
115 - 34 = 81
pls tell by step by step
Answer:
x = 50 degree
Step-by-step explanation:
x + 10 + x + x + 20 = 180 degree (being linear pair)
3x + 30 = 180
3x = 180 - 30
x = 150/3
x = 50 degree
Can somebody help I’ll give brainless plss
Answer:
$93.22
Step-by-step explanation:
bill = $79
tip = 18%
tip amount = tip % of bill
=18/100 * $79
=$1422/100
=$14.22
total cost = $79 + $14.22
=$93.22
Answer:
93.22
Step-by-step explanation:
Find the amount of the tip
79*18%
79 * .18
14.22
Add this to the amount of the bill
79+14.22
93.22
What are the two possible measures of the angle below?
Answer:
90 or -270
Step-by-step explanation:
A1=3
An=2(an-1+1)
What's a2 a3 and a4
Answer:
a2 is a3 B is 2 and a4 is -2
Step-by-step explanation:
just math and more math
Look at the rectangle and the square:
A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches
Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
(Sorry for the low quality image)
Answer:
Sam is incorrect
Step-by-step explanation:
We can calculate the lengths of the diagonals using Pythagoras' identity.
The diagonals divide the rectangle and square into 2 right triangles.
Consider Δ SRQ from the rectangle
SQ² = SR² + RQ² = 12² + 6² = 144 + 36 = 180 ( take square root of both sides )
SQ = [tex]\sqrt{180}[/tex] ≈ 13.4 in ( to 1 dec. place )
Consider Δ ONM from the square
OM² = ON² + NM² = 6² + 6² = 36 + 36 = 72 ( take square root of both sides )
OM = [tex]\sqrt{72}[/tex] ≈ 8.5 in ( to 1 dec. place )
Now 2 × OM = 2 × 8.5 = 17 ≠ 13.4
Then diagonal OM is not twice the length of diagonal SQ
7 of 8
The mean temperature for the first 7
days in January was 8°C.
The temperature on the 8th day was -1
°C.
What is the mean temperature for the
first 8 days in January?
°C
Answer:
6.875 degrees
Step-by-step explanation:
[tex]Total=7\times8=56\\56-1=55\\mean for 8 days=\frac{55}{8} =6.875 degrees[/tex]
what fraction of 4000 is 800?
Answer:
5
Step-by-step explanation:
Since it says the fraction, just divide 4000 by 800. So,
[tex]\frac{4000}{800}\\=>5[/tex]
That's it for the explanation. Hope it helped.
the standard unit for measuring mass is the
A partial listing of monthly startup costs for a store includes $2,750 for rent, $479 for electricity, $217 for telephone and Internet service, $9,423 for employee salaries, $250 for cleaning service, and $100 for supplies. What percent of your monthly startup cost is rent?
Answer:
I think it is 20.8%
Step-by-step explanation:
The percentage of rent in the monthly startup cost is 20.8%
What is percentage?A part of a whole expressed in hundredths. In percentage we equate the total with hundred and find the sum.
The formula of percentage is (Y/X)×100 = P%, where "X" is total , "Y" is the individual number of which we want to find the percentage and "P" is the percentage value.
According to the formula,
X ⇒ $2,750 + $479 + $217 + $9,423 + $250 + $100 = $13,219
Y = $2,750
P = (Y/X)×100
2750/13219 =0.20803
0.20803×100=20.80%
Thus the percentage of the rent in the total monthly startup cost is 20.80%
To know more about percentage here
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1
Solve these simultaneous equations using the elimination method
4x + y = 23
x + y = 8
Answer:
y= 3, x= 5
Step-by-step explanation:
4x+y=23
-x-y=-8
3x/3=15/3
x=5
for y
x+y=8
5+y=8
y=8-5
y=3
x=5
y=3
find'x' 2log_5x = 1+log_5(x-6/5)
Answer:
x = 2 and x = 3
Step-by-step explanation:
Formulas used :
[tex]log_5 \ 5 = 1[/tex]
[tex]log_5 \ x + log_5 \ y = log_5 \ (xy)[/tex]
[tex]log_5 \ x = log_5 \ y => x = y[/tex]
Steps :
[tex]2 \ log_5 \ x = 1 + log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ 5+ log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ ( 5(x - \frac{6}{5} ))\\\\x^2 = 5(x - \frac{6}{5})\\\\x^2 = 5x - 6\\\\x^2 - 5x + 6 = 0\\\\x^2 - 2x - 3x + 6 = 0\\\\x(x - 2 ) - 3 (x - 2) = 0\\\\(x - 3)(x-2) = 0\\\\x = 3 , x = 2[/tex]
3. Which of the following equations has a center of (-4,7) and a diameter of 18?
(1) (x+4)*+(y – 7)' =3
(2) (x+4)* +(y-7)= 324
(3) (x+4)*+(y-7)=9
(4) (x+4)*+(y-7)* = 81
Answer:
option 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then
(x - (- 4) )² + (y - 7)² = 9² , that is
(x + 4)² + (y - 7)² = 81
Find three consecutive odd integers such that the product of the second and the third integers is twenty-six more than three times the first integer.
Step-by-step explanation:
first number=x
second number=x+2
third number=x+4
(x+2)(x+4)=3x+26
x(x+4)+2(x+4)=3x+26
x²+4x+2x+8=3x+26
x²+6x+8=3x+26
x²+6x-3x=26-8
x²+3x=18
x²+3x-18=0
you can use that to find the numbers
Answer:
6, 8 and 10
Step-by-step explanation:
Let the 3 consecutive odd numbers be x, x+2, x+4
product of the second and the third integer
(x+2)(x+4)
twenty-six more than three times the first integer is expressed as;
3x + 26
Equate
(x+2)(x+4) = 3x + 26
x²+4x+2x+8 = 3x + 26
x²+6x +8= 3x+26
x²+3x +8-26 = 0
x²+3x-18 = 0
Factorize
x²-6x+3x-18 = 0
x(x-6)+3(x-6) = 0
x+3 = 0 and x-6 = 0
x = -3 and 6
The first 3 number is are 6, 8 and 10
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+119x+57
Answer:
Time required to hit the ground is 7.9 s.
Step-by-step explanation:
The height of the rocket is given by
[tex]y =- 16 x^2 + 119 x + 57[/tex]
For the time to hit the ground, put y = 0
[tex]-16x^2+119x+57=0\\\\16 x^2 - 119 x - 57 = 0 \\\\x = \frac{119\pm\sqrt{14161+3648}}{32}\\\\x = \frac{119\pm133.45}{32}\\\\t = - 0.45 s, 7.9 s[/tex]
Time cannot be negative, so time to hit the ground is 7.9 s.
If y varies inversely as x2 and y=6 when x=30, what is y when x=6
Answer:
y = 150
Step-by-step explanation:
y varies inversely as x²
yx² = k
----------------
y = 6 when x = 30
6(30²) = k
6(900) = 5400
--------------------------
what is y when x = 6
y(6²) = 5400
y(36) = 5400
y = 5400/36
y = 150
Answer:
y= 150
Step-by-step explanation:
[tex]y\ \alpha \ \frac{1}{x^2}\\\\y = k \times \frac{1}{x^2}\\\\[/tex]
Given y = 6, and x = 30. Find k.
[tex]6 = k \times \frac{1}{30^2}\\\\6 \times 900 = k\\\\5400 = k[/tex]
Given x = 6 and k = 180. Find y
[tex]y = 5400\times \frac{1}{6^2}\\\\[/tex]
[tex]=5400 \times \frac{1}{36}\\\\=150[/tex]
please help me, it would be really nice
Of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange. What fraction of the teacups are either blue or orange?
Answer: 1/6
Step-by-step explanation:
This is a question that has to do with the addition of a fraction. Since we are given the information that of the teacups in Bonnie's Tea Shop, 1/12 are blue and another 1/12 are orange.
Then, the fraction of the teacups that are either blue or orange will be calculated as:
= 1/12 + 1/12
= 2/12
= 1/6
Therefore, the fraction of the teacups that are either blue or orange is 1/6.
2. If the sales tax on a $825 television set is 7%, how
much will you pay in total?
Please help!!Either question is fine!
Answer:
$882.75
Step-by-step explanation:
In order to calculate tax, you need to multiply the percentage by the purchase costs. First, start by finding the decimal value of the percentage.
7 ÷ 100 = 0.07 — Percentage converted to a decimal.
[tex]825 \times 0.07 = 57.75[/tex]
— The tax. Now, in order to find the whole price, the tax and retail price must be added together.
[tex]825 + 57.75 = 882.75[/tex]
As per linear equation, the amount I have to pay in total is $645.
The simplified value of the given expression is (8 - 17x).
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
1. Given, the cost of television is $825.
The sales tax rate is 7%.
Therefore, total price of the television is
= $[tex][825 + (\frac{825(7)}{100})][/tex]
= $[tex](825+57.75)[/tex]
= $[tex]882.75[/tex]
2. The given expression is:
[tex]-4(3x - 2)- 5x\\= -12x + 8-5x\\= 8-17x[/tex]
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1)Rút gọn:
(√9+4√5)-(√9-4√5)-√5+(√23-8√7)
2)Chứng minh:
x²+x√3+1 luôn luôn dương với mọi x.
Answer:
si sumas 9+4×5 te da la respuesta
If you have to multiply the previous number by 2 in the y intercept in order to receive the next number, what would the equation be?
Answer:
Jsjsjsjsjwjwksjsjjsisisiwiw
Solve the simultaneous equation:
8d - 4e = 28
6d + 3e = 3
Answer: d=2 and e= -3
Step-by-step explanation:
(8d-4e=28)*3 => 24d-12e=84
(6d+3e=3)*4 => 24d+12e=12
24d+24d-12e+12e=84+12
=> 48d=96
=> d=2
d=2 => 8*2-4e=28
=> e= -3
PLEASE HELP ME!! its a pretty easy question
Answer:
V= 936m³
Step-by-step explanation:
Formula:
Volume = L * W * H
Volume1= L * W * H
= 16 * 9 * 6
= 864m³
Volume2= L * W * H
= 6 * 2 * 6
= 72m³
Add both volumes to get total volume.
= 864m³ + 72m³ = 936m³
Hope this helps!
Have a nice dayy! :)
1+2+3+....+2012+2013
Answer:
Un=n(n+1)/2
U=2013(2013+1)/2
U=2.027.091
Can someone help me? It's urgent and thank you!
Answer:
480,700
Step-by-step explanation:
C(25,7)
25!/(7!*(25-7)!)
15511210043330985984000000/(6402373705728000*5040)
480700
4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31
Answer:
y = (-1/2)x + 21/2
Step-by-step explanation:
Given equation:
y - 2x + 7
Coordinates = (5,8)
Find:
Perpendicular equation
Computation:
y = mx + c
y - 2x + 7
y = 2x - 7
So,
m = 2
The negative reciprocal of 2 is -1/2
So,
For,
Coordinates = (5,8)
y = mx + c
8 = (-1/2)(5) + c
8 = -5/2 + c
c = 8 + 5/2
c = 21 /2
So,
y = mx + c
y = (-1/2)x + 21/2