Answer:
[tex]x \4 = 5 \\ x = 5 \times 4 = 20 \\ x = 20.[/tex]
In her calculations, Rosita will be using the square root of 2 often. She wants to use as few digits as possible, but at the same time have sufficient precision. How should Rosita round the square root of 2 so that the approximation times 5 is greater than 7.05?
Testing the multiplication for each case, it is found that she should round the square root of 2 to three decimal digits.
What is the square root of 2?The square root of 2 is given by:
[tex]\sqrt{2} = 1.41421356237[/tex]
With one decimal digit, the result of the multiplication is:
[tex]5 \times \sqrt{2} = 5 \times 1.4 = 7 < 7.05[/tex]
With two decimal digits, the result of the multiplication is:
[tex]5 \times \sqrt{2} = 5 \times 1.41 = 7.05 = 7.05[/tex]
With three decimal digits, the result of the multiplication is:
[tex]5 \times \sqrt{2} = 5 \times 1.414 = 7.07 > 7.05[/tex]
Hence, she should round the square root of 2 to three decimal digits.
You can learn more about rounding at https://brainly.com/question/17248958
How would l solve this question???!!
Answer:
a = 6
Step-by-Step Explanation:
9 + 8a = 57
8a = 57 - 9 (subtract 9 from both sides)
8a = 48 (then divide 8 from both sides to get "a" alone)
a = 48/8
a = 6
algebra 2 please help me
Answer:
D. 2 and 5
(Just so you know, I'm not 100% sure this is right but I'm pretty sure I've answered this exact problem before)
Step-by-step explanation:
You have to look at the intersection points between the two lines. The x values are going to be the solution, and in this case line g(x) intersects f(x) at (2,-1) and (5,-4) so you take the x values and have your solutions.
Can someone help me with this geometry question I will mark brainliest.
Answer:
14.2
Step-by-step explanation:
6 + 6sin(30) + 6cos(30) = 14.2
Use the SOHCAHTOA, see below picture.
What is the solution to the system of equations? 3x - 6y = -12, x -2y =-8.
Answer:
Step-by-step explanation:
First, we need to write down the equations so we can have a vision of the equations.
3x - 6y = -12
x - 2y = -8
Now we find the simpler equation, and we make it to where one of the variables is on one side.
Let's use the bottom equation.
x = 2y - 8
Now we plug in the equation to the other equation.
3(2y - 8) - 6y = -12
6y - 24 - 6y = -12
-24 = -12
0 = 12
This is a false statement. 0 does not equal 12. That means that the equation has no solutions.
For every 3 apples in a
bowl there is 1 banana. If
there are 18 apples, how
many bananas will there
be? First person gets a 5star review!!
Answer:
18 apples equals 6 bananas
Answer:
There will be 6 bananas in that bowl
The function f(x) = –x2 – 4x + 5 is shown on the graph.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0).
Which statement about the function is true?
The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9.
To save a woman from a burning building, the firemen placed a 10-meter ladder against the window. The foot of the ladder was 6 meters from thewall. Approximately how high was the window?
Answer:
The window is 8 meters high.
Step-by-step explanation:
question#15
will give brainliest
Answer:
the answer should be c because the rise is 1.5 and the run is six
Answer:
The slope of the line is 1/4
Step-by-step explanation:
So the answer is c use rise over run
SOMEONE HELP ASAP
GIVING 50 POINTS FOR THE AMSWER
Answer:
2 is the correct answer
Step-by-step explanation:
there are 2 fish over 30 cm long between 30 and 40 cm
Susan borrowed $25,000 from a bank for one year at the rate of 10.5% per annum. Compute the amount she must pay to the bank to clear her loan amount; interest is compounded half-yearly.
Answer:
$29,761.90
Step-by-step explanation:
25,000 ÷ 10.5 = 2,380.95
2,380.95 X 2 = 4,761.90
4,761.90 + 25,000 = $29,761.90
The Salami and More Deli sells a 5-foot submarine sandwich for parties. It weighs 8 pounds. Assuming that the weight per foot is constant, what would be the length of a 12-pound sandwich?
Answer:
7.5 feet long
Step-by-step explanation:
if I had one, 5 foot sandwich, I would have 8 pounds. if I had 2.5 more foot of sandwich I would have 4 more pounds ( because 2.5 feet is half of 5 feet which means we would have to divide 8 pounds by 2). which means I have 8 pounds and 4 pounds, which equals 12 pounds. I also have 5 feet and 2.5 feet of sandwich which is equal to 7.5 feet. since it's asking the length of a 12 pound sandwich, your answer is 7.5 feet long.
The length of a 12 pound sandwich will be 7.5 foot.
What is unitary method ?Unitary method is a mathematical technique for deriving the value of a single unit and then deriving the given unit by multiplying with it.Unitary method is very useful for obtaining results of different types of questions.
According to the given question The Salami and More Deli sells a 5-foot submarine sandwich for parties. It weighs 8 pounds.
∴ The height of 1 pound sandwich is (5/8) foot.
So, the length of a 12 pound sandwich will be (5/8)×12 foot.
= 60/8 foot.
= 7.5 foot.
learn more about unitary method here :
https://brainly.com/question/14793162
#SPJ2
ANYONE KNOW THIS? PLEASE HELP
Answer:
18
Step-by-step explanation:
The ratio of girls to boys is 9:8
9:8 = 18:16
The height H metres of a ball projected upwards t seconds after being projected is given by H=64t - 16t². Find it's initial velocity
Answer:
initial velocity = 64 m/s
Step-by-step explanation:
Differentiate H = 64t - 16t² to find an equation for velocity:
Velocity = [tex]\frac{dH}{dt}[/tex] = 64 - 32t
Initial velocity (u) is when t = 0:
u = 64 - 32(0)
⇒ u = 64 - 0
⇒ u = 64 m/s
what is the value of x??
Answer:
16
Step-by-step explanation:
The angle shown there is an example of a vertical angle. An opposite angle formed by intercecting lines. They are always congruent, so to solve this, you must set them equal to eachother. you can gather the equation 4x-5=59. From there, you just solve it like you would any two step equation.
A reservoir contained 200 gallons of water. Jake drained the reservoir at a constant rate of 25 gallons per hour.
Which equation represents this situation if x is the number of hours the reservoir was draining and y is the number of gallons of water in the
reservoir?
Answer
200 - ( x * 25 ) = y
Step-by-step explanation:
200 is the original amount of gallons of water the reservoir contained before it started to be drained.
The ' - ' negative symbol is there because the reservoir is losing gallons of water when it is being drained.
x represents the amount of hours it is being drained for.
25 is the amount of gallons the reservoir is losing per hour assuming it is being drained.
The ' * ' multiplication sign is there because ' x ' represents the amount of hours the reservoir could be being drained for, and 25 represents how many gallons of water the reservoir loses for every 1 hour it is being drained.
y is the number of gallons left in the reservoir after being drained for 'x' amount of hours.
Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.
Answer:
16 : 2 + 3 (remember pemdas)
Step-by-step explanation:
Zoe is 16 years old. Her brother, Luke, is 3 years more than half her age. Write a numerical expression for Luke's age.
16 : 2 + 3 = 11
A. If f(x)=3x+Ž, what is f(-6)?
(?
JUST NEED THE BOTTOM ANWSER
Answer:
f(-6) = -21
Step-by-step explanation:
Substitute x = -6 into f(x):
f(-6) = 3(-6) + (-6 ÷ 2)
= -18 - 3
= -21
Given :
[tex]f(x) = 3x + \frac{x}{2} [/tex]
Substituting -6 in x,
[tex]f( - 6) = 3 \times ( - 6) + \frac{ - 6}{2} [/tex]
[tex] = > f( - 6) = (- 18) + (- 3)[/tex]
[tex] = > f( - 6) = - (18 + 3)[/tex]
[tex] = > f( - 6) = - 21[/tex]
So, value of
[tex]f( - 6) = - 21[/tex]
~ Benjemin360
Which expression is equivalent to –4. 5 – 6. 2y? –6. 2y – 4. 5 –6. 2y 4. 5 6. 2y – 4. 5 6. 2y 4. 5.
To find the expression that is equivalent to -4.5-6.2y we will rearrange all the given options to find the equivalent expression.
The expression that is equal to -4.5-6.2y is -6.2y-4.5.
Given options to us
–6.2y – 4.5–6.2y + 4.5 6.2y – 4.5 6.2y + 4.5Which expression is equivalent to –4.5 – 6.2y?We need to find an expression that is equal to -4.5-6.2y.
Therefore, we will arrange each of the equations and then compare it our equation,
A. –6.2y – 4.5
-4.5 -6.2y
Since after arranging the expression it matches our equation this is the expression that is equivalent to our equation.
B. –6.2y + 4.5
4.5 - 6.2 y
Since even after arranging the expression it does not match our equation this is the expression is not equivalent to our equation.
C. 6.2y – 4.5
-4.5 + 6.2 y
Since even after arranging the expression it does not match our equation this is the expression is not equivalent to our equation.
D. 6.2y + 4.5
4.5 + 6.2y
Since even after arranging the expression it does not match our equation this is the expression is not equivalent to our equation.
Hence, the expression that is equal to -4.5-6.2y is -6.2y-4.5.
Learn more about Expressions:
https://brainly.com/question/13947055
Find the number of sides of a regular polygon whose each exterior angle has a measure of 72°.
Answer:
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
The formula for calculating the size of an exterior angle is:
exterior angle of the polygon = 360 ÷ n
(where n is the number of sides)
Therefore, 72 = 360 ÷ n
Multiply both sides by n: 72n = 360
Divide both sides by 72: n = 5
Therefore, a polygon whose exterior angle has a measure of 72° has 5 sides.
joy added 26 new contacts to her phone list. She now has a total of 100 contacts. Let c represent how many contacts joy had on her phone list before she udpated it. write an equation and solve for c.
Answer: 26 + c = 100
Step-by-step explanation: To find what c equals, we must flip the solution around and subtract it. When we take 100 - 26, we get 74. Therefore, c = 74. I hope this helped! :)
45/100 X 72 = 45/72 X 100
45/100 X 72 = 45/72 X 100
9/20*72=5/8*100
simplifying, we get:
[tex]\frac{1}{160}=\frac{1}{160}[/tex]
therefore, true
Suppose a city with a population of 500,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 20 years.
Answer:
900,000
Step-by-step explanation:
4 percent of 500,000 is 20k and thats one year so 20k x 20 would be 400k and 400k + 500k is 900k
Factor
Include the Steps
X^2-6x-40=0
Answer:
x=(+10,-4)
Step-by-step explanation:
find two number if you multiple it becomes (-40) and if you add it becomes (-6)
Find the unknown side lengths and angle measures.
Round the lengths to the nearest tenth and the angle measures to the nearest degree.
Answer:
Step-by-step explanation:
m∠D = 90° - 51° = 39°
sin E = [tex]\frac{DE}{DF}[/tex] ⇒ DE = DF × sin E
DE = 18 sin51° ≈ 14.0 ft.
cos E = [tex]\frac{EF}{DF}[/tex] ⇒ EF = DF × cos E
EF = 18 × cos51° ≈ 11.3 ft.
You would like to buy a necklace as a graduation gift for your brother.
It costs $216. You have no savings yet, but you have a job. About how
much would you have to save each month to buy the necklace in
6 months?
Answer:
$36
Step-by-step explanation:
you would have to save $36 a month to have enough money in 6 months to buy the necklace.
2x + y = 14
-3x +4y=-10
Solve by system of substitution
10x + 5y = 70
21x - 28y = 70
21x - 28y = 10x + 5y
11x = 33y
x = 3y
7y = 14
y = 2
x = 6
please give brainliest
solve for x plssssssss
Answer:
x= 90-32
x= 58
Solve The following m/2+6=2m-6
m =8
hope it helps
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Las Variables para x e y?
Answer:
no able Espanola
Step-by-step explanation:
