Answer:
[tex]\frac{m^3}{2} - 4[/tex]
Step-by-step explanation:
Required
Determine an expression for the given statement
The expression can be rewritten as:
one-half * the cube of m subtracted by 4
Convert each statement to mathematical expressions:
One half = [tex]\frac{1}{2}[/tex]
The cube of m = [tex]m^3[/tex]
one-half * the cube of m = [tex]\frac{1}{2} * m^3[/tex]
At this stage, we have:
[tex]\frac{1}{2} * m^3[/tex] subtracted by 4
This gives:
[tex]\frac{1}{2} * m^3 - 4[/tex]
[tex]\frac{m^3}{2} - 4[/tex]
Hence, The corresponding expression is [tex]\frac{m^3}{2} - 4[/tex]
One-half the cube of m subtracted by 4 is [tex]0.5\sqrt[3]{m} -4[/tex]
Based on the information given, one-half the cube of m subtracted by 4 is expressed as:
[tex]0.5\sqrt[3]{m} -4[/tex]Note that the cube of m is expressed as [tex]\sqrt[3]{m}[/tex]The half of the cube of m will be given as [tex]0.5\sqrt[3]{m}[/tex]Subtracting 4 from the result will give the final expression as [tex]0.5\sqrt[3]{m} -4[/tex]
Learn more on expressions here: https://brainly.com/question/25968875
Pls help me quickly
Answer:
[tex] {9}^{3} [/tex]
Step-by-step explanation:
[tex]9 \times 9 \times 9 \\ = {9}^{3} [/tex]
(a 2− b) ÷ 6; use a = 5, and b = 1
Combine like terms.
2y2 – 5+1 + 2y2 – 6y2 – 3 – 4y
ASAP
someone help please
Answer:
-2y2 - 4y - 7
Step-by-step explanation:
2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1
4y2 - 6y2 - 4y - 8 + 1
-2y2 - 4y - 7
Answer:
3x 2 + 19 i think thats the answerWhich term describes the solution to a multiplication problem? The describes the solution to a multiplication problem.
Answer:
The solution to a multiplication problem is called a product.
Step-by-step explanation:
Please help me simplify this equation!
HELP PLEASE this is for math
Answer:
70
Step-by-step explanation:
Step 1:
a² + b² = c²
Step 2:
56² + 42² = 4900
Step 3:
4900 ÷ 70 = 70
Answer:
70
Hope This Helps :)
Ifj=k, then k =j what is the property?
Answer:
See below.
Step-by-step explanation:
So we have:
[tex]\text{if }j=k\text{ then } k=j[/tex]
This is an example of the symmetric property. The equation remains true every if you flip them.
Help please. what is 6=3x²
Answer:
x=√2 or x=−√2
Let's solve your equation step-by-step.
6=3x2
Step 1: Subtract 3x^2 from both sides.
6−3x2=3x2−3x2
−3x2+6=0
Step 2: Subtract 6 from both sides.
−3x2+6−6=0−6
−3x2=−6
Step 3: Divide both sides by -3.
−3x2
−3
=
−6
−3
x2=2
Step 4: Take square root.
x=±√2
x=√2 or x=−√2
At the start of the day there was £129.75 in the till. One hour later there is £145.50. How much money did the shop make in an hour?
Answer:
£15.75
Step-by-step explanation:
£145.50 - £129.75
Answer:
The shop keeper made 15.75$ in an hour.
Step-by-step explanation:
Minus 129.75-145.50
(01.05 MC)Which fraction is equivalent to 2 over negative 6?
Answer:
1/(-3)
Step-by-step explanation:
Simplify the following:
2/(-6)
Hint: | Reduce 2/(-6) to lowest terms. Start by finding the GCD of 2 and -6.
The gcd of 2 and -6 is 2, so 2/(-6) = (2×1)/(2 (-3)) = 2/2×1/(-3) = 1/(-3):
Answer: 1/(-3)
which one that doesn’t belong ? 1/20, 20/25, 2/3, 5,4
Need help!!
Answer:
5/4
Step-by-step explanation:
1/20, 2/3, and 20/25 do not have a whole number that could fit in them when 5/4 does (1 1/4) so when all the other fractions can't have a whole number fit in, 5/4 or 1 1/4 does.
The fraction 5/4 does not belong to.
What is a fraction?A fraction is a quantity which is not whole number. In the mathematical expression, a fraction usually has a numerator and a denominator.
The numerator is the number top of the fraction. While the denominator is the number below of the fraction.
for example, a fraction is = 3/8
where 3 is the numerator while 8 is the denominator
A proper fraction is a fraction in which the numerator is smaller than the denominator in value .
For an example is 3/7
An improper fraction is a fraction in which the numerator is greater than the denominator in value.
For an example is 7/3
Here given in the options, 1/20, 20/25, and 2/3 are proper fractions because their numerator is smaller than the denominator in value. (as 1<20, 20<25, 2<3)
But 5/4 is an improper fraction as numerator is greater than the denominator in value.
So 5/4 does not belong to because it is an improper fraction while others are the proper fraction.
Learn more about proper and improper fraction
here: https://brainly.com/question/2445936
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A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on that map. Which is the longer trail, Great Oaks Trail or Salamander Trail?
Answer:
Salamander Trail is longer than Great Oak Trail
Step-by-step explanation:
The given parameters are;
The scale of the map is 36 mi = 6 cm
The length of Great Oak Trail = 4.5 cm
The scale of a different map is 24 mi = 3 cm
The length of Salamander Trail = 3.5 cm
Therefore, we have;
The actual length of Great Oak Trail based on the first map is given as follows;
36 mi = 6 cm
6 cm = 36 mi
1 cm = 36 mi/6 = 6 mi
4.5 cm = 4.5 × 6 mi = 27 mi
The actual length of Salamander Trail based on the second map is given as follows;
24 mi = 3 cm
3 cm = 24 mi
1 cm = 24 mi/3 = 8 mi
3.5 cm = 3.5 × 8 mi = 28 mi
Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.
3|4w-1|-5=10
Please help meee!
Answer:
[tex]w=\frac{3}{2} ,-1[/tex]
Step-by-step explanation:
[tex]3|4w-1|-5=10\\\\3|4w-1|=10+5\\\\3|4w-1|=15\\\\|4w-1|=5\\\\[/tex]
here we have two cases
the number that give an absolute value of 5 are 5 and -5
so we have
[tex]4w-1=5\\\\4w=5+1\\\\4w=6\\\\w=\frac{3}{2}[/tex]
and the other case
[tex]4w-1=-5\\\\4w=-5+1\\\\4w=-4\\\\w=-1[/tex]
It the twelvth,85th and the last term of an arithmetic sequence are 38,257 and 395 respectively. Calculate how many terms are there in the sequence
Answer:
131
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 38 and a₈₅ = 257 , then
a₁ +11d = 38 → (1)
a₁ + 84d = 257 → (2)
Subtract (1) from (2) term by term
73d = 219 ( divide both sides by 73 )
d = 3
Substitute d = 3 into (1)
a₁ + 11(3) = 38
a₁ + 33 = 38 ( subtract 33 from both sides )
a₁ = 5
Thus
5 + 3(n - 1) = 395 ( subtract 5 from both sides )
3(n - 1) = 390 ( divide both sides by 3 )
n - 1 = 130 ( add 1 to both sides )
n = 131
Thus there are 131 terms in the sequence
Evaluate: 1/3(-15 + 3/2)
Answer:
-4.5 is correct answer
Step-by-step explanation:
[tex] \frac{1}{3} ( - 15 + \frac{3}{2} ) \\ = \frac{1}{3} ( \frac{ - 30 + 3}{2} ) \\ = \frac{1}{3} ( \frac{ - 27}{2} ) \\ = \frac{ - 9}{2} [/tex]
hope it helped you:)
Write the three next natural numbers after 10999
Solve the system of equations below.
Answer:
B
Step-by-step explanation:
So we have the system of equations:
[tex]x-2y=3\\2x-3y=9[/tex]
To solve, we can use the substitution method. First, add 2y to both sides in the first equation:
[tex]x=3+2y[/tex]
Now, substitute this into the secon equation:
[tex]2(3+2y)-3y=9[/tex]
Distribute the 2:
[tex]6+4y-3y=9[/tex]
Combine like terms:
[tex]6+y=9[/tex]
Subtract 6 from both sides:
[tex]y=3[/tex]
So, the value of y is 3.
Substitute this back into the original equation to find x. Thus:
[tex]x=3+2(3)[/tex]
Multiply:
[tex]x=3+6[/tex]
Add:
[tex]x=9[/tex]
So, our answer is (9,3)
And we're done!
List the following numbers in descending order.
13.5%, 1315, 13.09, 13
Answer:
1315, 13.09, 13, 13.5%.
Step-by-step explanation:
13.5% is less than 1 because 100% = 1.
Simplify 2squareroot -19+44
-19+44
-361+1936
1575
therefore 2 squareroot-19+44
=1575
Naja is paid p dollars per hour she works. For every hour she works over 40 hours, she is paid time and a half which means she is paid 1.5 times her normal hourly rate. She worked 50 hours last week. The following is a model of this situation.
Answer:
40p + 10 (1.5p)
Step-by-step explanation:
= 40 · p + (50-40) · (1.5p)
= 40p + 10 (1.5p)
Round 452,489 to the nearest thousand.
O 500,000
0 453,000
450.000
452.000
6x>-18 HELPPPPP!!! PLEASEEEE
Answer:
Hey there!
6x>-18
Divide by 6 on both sides
x>-3
Let me know if this helps :)
Chris says that is halfway between 0.5 and 100%.
Is Chris correct? You must explain your answer
Answer:
yes because 0.5 is 50%
Step-by-step explanation:
drey makes 10$ an hour plus 15$ an hour for every hour of overtime . overtime hours are any hours more than 40 hours for the week
Part a.$10 x 40 hours= $400 ($10x=W) X= 40 hours a week
Part b. $10 x 40 hours= $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more then 40 hours you take the number of hours over time and multiply it by 15.
Part c. Okay so knowing that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400 so we need to figure out 15 times what is equal to 90. 15 times 6 is equal to 90 which means that Drey worked for 46 hours
i hope this helps you good luck :)
Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB = (9x - 5)º
mZBOC = (2x +11°
mZCOD = (6x + 10°
X=
Answer:
x = 5
Step-by-step explanation:
From the picture attached,
It's given that ∠AOB ≅ ∠COD
therefore, m∠AOB = m∠COD
Now from the given measures of the equal angles,
9x - 5 = 6x + 10
9x - 6x - 5 = 10
3x - 5 = 10
3x = 10 + 5
3x = 15
x = [tex]\frac{15}{3}[/tex]
x = 5
Therefore, measure of the angles given in the picture will be,
m∠AOB = (9x - 5)° = 40°
m∠BOC = (2x + 11)° = 21°
m∠COD = (6x + 10)° = 40°
Answer:guy who answered first is wrong the answer is x = 9
Step-by-step explanation:
Write the inverse of h(x) = e 2x
h -1(x) =
log e2 x
2log ex
½log ex
Answer:
C
Step-by-step explanation:
We are given the function.
[tex]h(x)=e^{2x}[/tex]
And we want to find its inverse.
Let's switch h(x) and x and change h(x) to h⁻¹(x). Hence solve:
[tex]\displaystyle \begin{aligned} x & = e^{2h^{-1}(x)} \\ \\ \ln x & = \ln e^{2h^{-1}(x)} \\ \\ \ln x & = 2h^{-1}(x) \\ \\ h^{-1}(x) & = \frac{1}{2} \ln x\end{aligned}[/tex]
In conclusion, our answer is C.
Note:
[tex]\ln(x)=\log_ex[/tex]
Which of the following is an equation of the line through (-4, 12) parallel to the line y= - 4x - 4?
Step-by-step explanation:
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Which value of y makes the equation 16 -y = 11 true?
Answer:
16-5=11
Step-by-step explanation:
Find the error american car produce 5,650,000 cars each year.In a report,ben wrote that americans made 6,550,000 cars.What mistake did ben make how can he fix it
Answer:
The error Ben made was writing down 6,550,000 cars rather than 5,650,000 cars in the report.
He can fix it by correcting the wrong numbers.
Step-by-step explanation:
American car produce 5,650,000 cars each year.
When writing a report Ben wrote down that americans produce 6,550,000 cars every year
Therefore the error Ben made in the report was that he mixed the numbers, he ought to have written 5 and 6 as the initial two numbers but rather he wrote the first number as 6 and the second number as 5.
Ben can fix his mistake by correcting the numbers and writing down the correct initial two numbers which are 6 and 5.
Hence, doing this will give him the correct number of cars which is 5,650,000 cars.
Write the equation of the line parallel to y=1/4 x+6 that passes through the point (-4, 3) in slope-intercept form.
Answer: y=1/4x + 4
Step-by-step explanation:
Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6 and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.
(-4,3) the x coordinate is -4 and the y coordinate is 3
3 = 1/4(-4) + b
3 = -1 + b
+1 +1
b= 4
The y intercept is 4 so the equation will be y=1/4x + 4