Answer:
Option A
Step-by-step explanation:
[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]
Answer:A
Step-by-step explanation:
-14m-7m+1=-7m+1
then
-14m-7m+7m=1-1
-14m=0
m=0
The perimeter of a rectangle is 86cm. Its shortest side has a length of 16cm. State the length of the longest side.
Answer: length = 27 cm
Step-by-step explanation:
Perimeter = 2(l + w)
86 = 2(l + 16)
86 = 2l + 32
86 - 32 = 2l
l = 54/2 = 27 cm.
what is the ph of a 6.2 x 10-6 M KOH
Answer:
10
Step-by-step explanation:
i have no flipping i think im wrong
HELP ME Pleasesssss??I need this ASAP please helpp me with this 3 Questions :)
1)A cylindrical container of radius 4cm and height 15cm is half filled with water.Find the volume of water in the container .Give the answer correct to 3 significant figures.
2)A can is a cylinder of radius 3.4cm . It is completely filled with 233cm³ of orange juice. Find the height of the can.Give the answer correct to 3 significant figures.
3)A lampshade is in the form of cylinder of radius 11cm .It is open at both ends.The total surface area of lampshade is 1200cm² . Find its height .Give your answer correct to 3 significant figures.
Answer:
753.6 cm³
21.825 cm
34.742 cm
Step-by-step explanation:
1) V=πr²h
r= 4 cm, h= 15 cm
V= 3.14*4²*15= 753.6 cm³
2) V=πr²h
r= 3.4 cm, V= 233 cm³, h=?
h= V/πr²= 233/(3.14*3.4)= 21.825 cm
3) A=2πrh (not including base surface as it is open ended)
r= 11 cm, A= 1200 cm², h=?
h= A/(2πr)= 1200/(3.14*11)= 34.742 cm
On the right triangle shown below, calculate the height of the traffic
light. Round your answer to the nearest whole number. Enter the
value without units.
Answer:
x = 14
Step-by-step explanation:
Tan 25 = [tex]\frac{opposite}{adjacent}[/tex]
Where opposite = x, Adjacent = 30 m
=> 0.466 x 30 = x
=> x = 14
Answer:
[tex]\Huge \boxed{\mathrm{14 \ meters}}[/tex]
Step-by-step explanation:
We can use trigonometric functions to solve for the problem.
[tex]\displaystyle \sf tan( \theta )=\frac{opposite \ side}{adjacent \ side}[/tex]
Plug in the values and evaluate.
[tex]\displaystyle \sf tan( 25\° )=\frac{x}{30}[/tex]
Multiply both sides by 30.
[tex]\displaystyle \sf 30 \cdot tan( 25\° )=x[/tex]
[tex]\sf x=13.98922974...[/tex]
The height of the traffic light is 14 meters (rounded to nearest whole number).
Edward has 30 sweets.
The ratio of red sweets to yellow sweets is 2:3
How many red sweets does Ed have? *
Answer:
20 red sweets
Step-by-step explanation:
do two thirds of 30 and the part that cane out is the red sweets
Answer:
12
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 = 5 parts
Divide the number of sweets by 5 to find the value of one part of the ratio
30 ÷ 5 = 6 sweets ← value of 1 part of the ratio, thus
2 × 6 = 12 ← number of red sweets
Arrange the equations in the correct sequence to rewrite the formula for displacement, d = vt—1/2at^2 to find a. In the formula, d is
displacement, v is final velocity, a is acceleration, and t is time.
Answer:
[tex]a = \frac{2(vt-d)}{t^{2} }[/tex]
Step-by-step explanation:
Given the formula for calculating the displacement of a body as shown below;
[tex]d = vt - \frac{1}{2} at^{2}[/tex]
d = displacement
v = final velocity
a = acceleration
t = time
To make the acceleration a the subject of the formula, the followin steps must be taken;
Step 1: Subtract vt from both sides of the equation
[tex]d-vt = vt-vt-\frac{1}{2}at^{2} \\ d-vt = -\frac{1}{2}at^{2}\\2(d-vt) = -at^{2}[/tex]
Step 2: Divide both sides by t²
[tex]\frac{2(d-vt)}{t^{2} } = \frac{-at^{2} }{t^{2} } \\a = \frac{-2(d-vt)}{t^{2} }[/tex]
[tex]a = \frac{2(vt-d)}{t^{2} }[/tex]
Simplify 5x + 4x + 1.
10x
9x + 1
x+9
Step-by-step explanation:
9x + 1
This is the correct answer
Do negative numbers have positive square roots?
Answer: yes
Step-by-step explanation:
Answer: not exactly
Step-by-step explanation:
If you put a negative number in a square root you would end up with an error on the calculator. Thats because you end up with an imaginary number since a negative inside a square root can never be calculated, its simply not possible because in order for a negative number to form, a positive number must always be multiplied to a negative number. So people came up with the concept of i:
[tex]\sqrt{-1}[/tex] = i
So something like [tex]\sqrt{-4}[/tex] can be simplified like:
[tex]\sqrt{4}[/tex] * [tex]\sqrt{-1}[/tex]
2 * i
2i
But if you're talking about squares like exponent wise, then yes
something like [tex](-2)^{2}[/tex] will always be positive, but you have to be careful with the parentheses.
There is a difference btw [tex](-2)^{2}[/tex] and[tex]-2^{2}[/tex]
[tex](-2)^{2}[/tex] = 4 because you are multiplying (-2)(-2)
but
[tex]-2^{2}[/tex] = -4 because you are multiplying -(2)(2)
It takes 22 hours for a hosepipe with a flow of 12 litres per minute to fill a swimming pool. How long will it take if its flow is reduced to 5 litres per minute?
Answer:
t2 = 52.8 hours
it will take 52.8 hours if its flow is reduced to 5 litres per minute.
Step-by-step explanation:
The volume of the swimming pool can be written as;
Volume V = flow rate × time
V = R×t
V = R1×t1 = R2×t2
R1×t1 = R2×t2
t2 = R1×t1/R2 ........1
Given;
Flow rate R1 = 12 litres per minute
Flow rate R2 = 5 litres per minute
time t1 = 22 hours
Substituting the given values into equation 1;
t2 = R1×t1/R2 = 12×22/5
t2 = 52.8 hours
it will take 52.8 hours if its flow is reduced to 5 litres per minute.
A water tank contains 1000 litres of water. Due to a small hole in the tank, 10 litres of water is lost every hour. How much would remain in the tank after 10 hours
Answer:
900 L
Step-by-step explanation:
after 10 hours : 10*10=100 liters
1000-100=900 liter
900 L
is the answer I recived
My work is below:
Next after 10 hours (10*10=100 liters )
1000-100=900 liter
Hope this helps you learn what to do in similar probles
If you like this question please mark brainest
How many two-digit primes have both their digits non-prime? 6 5 4 3 2
Answer:
6 and 4
Step-by-step explanation:
The perimeter of a rectangular garden is 306 feet. If the length of the garden is 99 feet, what is its width?
feet
Х
5
?
Answer:
The width of the garden is 99 feet.
Step-by-step explanation:
Given: The perimeter is 306 ft.
Given: the length of the garden is 99 ft.
Step 1: Because the garden is rectangular and so 2 of its sides are the lengths, we must multiply 99 by 2. 99x2=108.
Step 2: To find out the 2 remaining sides of the garden (the widths), we must subtract the perimeter by the lengths. 306-108=198.
Step 3: Because there are 2 sides which are the widths, we know that they are each equal and add up to 198. To find out how long the width is, we must divide the 2 widths by 2. 198/2=99.
So, the width of the garden is 99 feet.
Elizabeth is going to flip a fair coin 100 times what is the best prediction for tube number of times that the coin will land tails up?
Answer:
About 50 times
Step-by-step explanation:
can I have a thx, 5 star, brainliest and will you let me know if right?
Using the graphing method, which of the following choices is the
solution of system: 3y = x-9
y = -x + 1
Answer:
y=x_1 is the solution of system
I will give you brainliest!!!! Use the elimination method to solve the system of equations.
Answer:
B. (1, 4)
Step-by-step explanation:
2x + 3y = 14
5x - 4y = -11
Multiply the first equation by -5 and the second by 2:
-10x - 15y = -70
10x - 8y = -22 Add these 2 equations:
0 - 23y = -92
y = -92/-23 = 4
Now substitute y = 4 in the first equation:
2x + 3*4 = 14
2x = 14 - 12
2x = 2
x = 1.
if 25 tickets cost $50, find the cost of 1 ticket
Answer:
$2[tex]solution \\ cost \: of \: 25 \: ticket = 50 \\ cost \: of \: one \: ticket = \frac{50}{25} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2[/tex]
hope this helps..
Good luck on your assignment
25 tickets cost 50.00 dollars.
The cost of 1 ticket would be:
50/25=2
2.00 dollars to be precise.
Which transformation gives the same result as a rotation of 180° around the origin followed by a reflection over the y-axis? A. a rotation of 270 degrees around the origin B.A reflection over the x axis C.a reflection over the y axis D.a potion of 90 degrees around the origin
Answer:
The answer should be C
Step-by-step explanation:
Because if you do a reflection over the y-axis you would get the same thing
Please help. Will give 15 points, thanks and brainliest Expand and simplify (2x + 5)(2x – 5)(3x + 7)
Answer:
[tex]12x^3+28x^2-75x-175[/tex]
Step-by-step explanation:
[tex](2x + 5)(2x - 5)(3x + 7)[/tex]
[tex][2x(2x)+2x(-5)+5(2x)+5(-5)](3x+7)[/tex]
[tex][4x^2+-10x+10x+-25](3x+7)[/tex]
[tex][4x^2+0+-25](3x+7)[/tex]
[tex](4x^2-25)(3x+7)[/tex]
[tex]4x^2(3x)+4x^2(7)-25(3x)-25(7)[/tex]
[tex]12x^3+28x^2-75x-175[/tex]
One-eighth a number is two more than one-fourth the number. What is the number? A. −16 B. −4 C. 8 D. 16
Answer:
[tex]\mathrm{A}[/tex]
Step-by-step explanation:
Let that number be x.
[tex]1/8x=2+1/4x[/tex]
[tex]1/8x-1/4x=2[/tex]
[tex]-1/8x=2[/tex]
[tex]x=2 \times -8/1[/tex]
[tex]x=-16[/tex]
Answer:
A. -16.
Step-by-step explanation:
1/8 x = 1/4 x + 2 where x is the number to be found.
Subtract 1/4 x for both sides of the equation:
-1/8x = 2
x = 2*-8
x = -16
Round 138 to the nearest hundred
Answer:
100
Step-by-step explanation:
138 is closer to 100 than 200, so the 100 is the correct answer.
Answer:
100
Step-by-step explanation:
150 and higher would round up to 200
so 149 and lower rounds back to 100
2x³ - 1 = 53 Please include explanation if possible.
(5•5•5) • (5•5•5•5•5•5)
Answer:
1953125
Step-by-step explanation:
Step 1: Simplify
(5x5x5) x (5x5x5x5x5x5) = [tex]5^3(5^6)[/tex]
Step 2: Combine exponents
[tex]5^3(5^6)[/tex] = [tex]5^9[/tex]
Step 3: Evaluate
[tex]5^9[/tex] = 1953125
Answer:
15750
Step-by-step explanation:
First you calculate the first bracket (it is equal to 125), then you calculate the second bracket (it is equal to 15625), and then you multiply the 2 numbers.
Resolve into factors:2p(p-1)-p+1
Answer:
Do it your self
Step-by-step explanation:
which exponential function is represented by the graph?
Answer:
Step-by-step explanation:
Let's solve this using our formula for exponential functions:
[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):
[tex]3=a(b)^0[/tex]. Anything raised to the power of 0 is 1, so that means that
a = 3. We will use that value along with the x and y from the second coordinate to solve for b:
[tex]6=3(b)^1[/tex]. b to the first is just b, so our equation is
6 = 3b and
b = 2.
Our equation then is
[tex]y=3(2)^x[/tex], the third choice down.
The exponential value function is y = 3 ( 2 )ˣ
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential function be represented as A
Now , the value of A is
y = 3 ( 2 )ˣ
when x = 0
y = 3 ( 2 )⁰
y = 3
when x = 1
y = 3 ( 2 )
y = 6
So , the points on the graph are ( 0 , 3 ) and ( 1 , 6 )
Hence , the function is y = 3 ( 2 )ˣ
To learn more about exponential growth factor click :
https://brainly.com/question/13674608
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what type of number is the square root of 5
Answer:
Irrational
Step-by-step explanation:
root of 5 = 2.23606797749978969640917366873127623544061835961152572427089…
This number never ends. Another term for it would be a recurring decimal, but it is not exact. Anyway, the square root of 5 is irrational since it is not defined to stop. Even if it was rounded, it would not be exact.
Hope this Helps.
what is the answer for 3r+8=2r+12
Answer:
r=4
Step-by-step explanation:
Answer:
r = 4
Step-by-step explanation:
3r+8=2r+12
Subtract 2r from each side
3r-2r+8=2r-2r+12
r+8 = 12
Subtract 8 from each side
r +8-8 = 12-8
r = 4
Lana has a bowl of marbles the bowl contains 5 green marbles,3 red marbles and 2 blue marbles from the bowl one at a time. What is the probability that lana will select a green marble first, replace the marble, then select a red marble
Answer:
3/20
Step-by-step explanation:
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( green) = green/total = 5/10 = 1/2
Replace
5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles
P( red) = red/total = 3/10
P(green,replace, red) = 1/2 * 3/10 = 3/20
7th grade math I needs some help
Answer:
Step-by-step explanation:
To find 5e. El change, find the difference between week 1 and 1.
56.92-(-16.54) = 56.92+16.54 = -73.46.
Note: this is negative, because we are calculating the difference.
Hope this helps
Brainliest please help! A storage bin is a rectangular prism. Its volume is 300 cm cubed.
The width of the prism is one-third its length.
its height is two-thirds its length.
Determine the dimensions of the bin.
Answer:
∛50 cm, 2∛50 cm, 3∛50 cm
Step-by-step explanation:
V= wlh
V=300 cm³
w= 1/3l
h= 2/3l
---------
l*1/3l*2/3l=3002/9l³=300l³= 1350l= ∛1350= 3∛50 cmw= 1/3*3∛50= ∛50 cmh= 2/3*3∛50= 2∛50 cmAnswer:
Length is 11.052cm
Width is 3.684cm
Height is 7.386cm
Step-by-step explanation:
Let length be x, width y and height Z
Width (y) = X/3 , height (z) = 2x /3
volume =xyz
volume = x(x/3)(2/3)x
Volume = (2/9)x³
But Volume =300
300= (2/9)x³
300/(2/9) = x³ (make x³ the subject to find x )
1350 = x³
x=3√(1350)
x=11.052cm
Length is 11.052cm
Width = x/3 =11.052 /3
= 3.684cm
Height = 2x/3 = 2(11.052) /3
= 7.368cm
You can check it by multiplying LWH to see if you get 300 (the volume)
The profit ,P dollars, earned by students at a high school selling boxes of chocolates is approximated to be P= -60x^2+600x , where x dollars is the selling price of one box of chocolates. What selling price gives the maximum profit?
Answer:
Selling price of 5 gives the maximum profit
Step-by-step explanation:
What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.
Mathematically, we have;
dp/dx = -120x + 600
We now equate this to zero
0 = -120x + 600
120x = 600
x = 600/120
x = 5