If you are asking for the value of g, it is as follows.
4g-2g=30
2g=30
g=15
Therefore, the g=15.
Answer:
15
Step-by-step explanation:
4g-2g = 30
2g = 30
g = 15
Which measure of center is best to use for this set of data?
45, 39, 49, 37, 3, 51
Answer:
not sure no attachments but i think its 49 or 37 or both together 88
Step-by-step explanation:
Which of the following rational numbers is closest to V7 ?
2.1
2.5
2.6
3.5
A trip, including hotel and air, is prices at $319.19 after tax. If the tax rate is 12%, calculate the price before tax that will result in this tax-included amount
Answer: $285
Step-by-step explanation:
Given
A trip costs [tex]\$319.19[/tex] after-tax inclusion
The rate of tax is 12%
Suppose x is the amount of charge before tax inclusion
We can write
[tex]\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\$284.99\approx \$285[/tex]
The amount before tax inclusion is $285
Derek put 10 crickets in his pet lizard’s cage. After one day, Derek’s lizard had eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. How many crickets were left in the cage at the end of the second day?
Answer:
6 crickets
Step-by-step explanation:
First day: 20% of 10 is (.20)(10) = 2, so there were 10 - 2 = 8 crickets left.
Second day: 25% of 8 is (.25)(8) = 2, so there were 8 - 2 = 6 crickets left.
Pls help i dont know what this is
Answer:
the answer is B.(-1,-2)
Step-by-step explanation:
please give brainliest
find the area of the shaded regions. give the answer as a completely simplified exact value in terms of pi (no approximations)
Answer:
a = 40π
Step-by-step explanation:
a = (∅/360) * πr²
a = (144/360) * π(10)²
a = 40π
ANSWER plsssssssssssssssssssssssss!
Answer:
503
Step-by-step explanation:
PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
What is (1/2+i √3/2)^5?
Answer:
Hello! I know I am late but here is the answer for anyone else who might need it.
D. 1/2-i√3/2
Step-by-step explanation:
I got it right on edge. Hope this helps!
The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
What is binomial theorem?
The expression of the form (a+b)^n is expand by binomial theorem.
The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].
What is the value of given expression?Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]
When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]
When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]
When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]
When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]
When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]
When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],
Now we will add all the results to get the expansion of given expression,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]
On simplifying,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]
Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
Learn more:https://brainly.com/question/13672615
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If the domain (or pre-image) of a function that is translated up 5 is (-1, 8), (-2,4), (-1, -7), what is
the range (or image)?
Answer:
The image of the given points after the translation is;
(-1,13) , (-2,9) and (-1,-2)
Step-by-step explanation:
By translating vertically to the tune of 5 units, what we have done is to add 5 units to the y-axis value
so for (-1,8); it will become (-1, 8 + 5) = (-1,13)
for (-2,4); it will become (-2,4 + 5) = (-2,9)
for (-1,-7); it will become (-1,-7+ 5) = (-1,-2)
Determine the area of the rectangle. Write your answer as a decimal.
Answer: all you have to do is times length times width
which is 1 1/2x4 1/2 and then make it a decimal
What is the Definition of Algebra?
Answer:
the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Step-by-step explanation:
Help me . Thank you !
Answer:
hmm,,,,,,
Step-by-step explanation:
What is the range of y= x + 2?
Answer:
A) all real numbers greater than or equal to 2
Domain: [tex]x\geq 0[/tex]
Step-by-step explanation:
The variable in the radical x cannot be less than 0 as that wouldn’t be defined. So, the maximum that x can be is 0, and [tex]y=x+2[/tex]. So, 0+2=2, and y is greater than or equal to 2.
Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.
Solve- 5x - 2(2x - 7) = 2(3x - 1) + [tex]\frac{7}{2}[/tex]
Pls help mehhh
center (3,-2), radius =5
Answer:
(x-3^2+y+2^2 =25
Step-by-step explanation:
What is 12.57 Rounded to the nearest hundredth?
Answer:
12.60
Step-by-step explanation:
give brainliest and 5 star and thank!
write 4.25% as a decimal
Answer:
0.0425
Step-by-step explanation:
Answer:
0.0425
Step-by-step explanation:
find 18.2% of 25000
please and fast I'm in assessment
Answer:
4550
Step-by-step explanation:
Answer:
Step-by-step explanation:
18.2% of 25000 = 4550
A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9. What percentage of the item price is the restocking fee?
Answer:
6%
Step-by-step explanation:
for this is divided the fee by the price of the item.
Find the perimeter of the figure to the nearest hundredth.
Answer:
65.12 mm
Step-by-step explanation:
Circumference of semicircle = 8π mm
Perimeter = (40 + 8π) = 65.12 mm
Determine whether the triangle with the given side lengths is acute,
right, obtuse or not a triangle 14,16,27
Answer:
this triangle is "obtuse
Step-by-step explanation:
Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here. The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse." It's not a right triangle either, because the Pythagorean Theorem is not satisfied: 14^2 + 16^2 = 452, which is NOT 27^2.
Laurie is running in a 5,000-meter race. A kilometer equals about 0.625 mile. About how
many miles long is the race?
Answer:
3.125 miles
Step-by-step explanation:
5 × 0.625 = 3.125 miles
A plane is travelling at 180 metres per second. How many minutes will it take for the plane to travel 800km? Give your answer in the nearest minute.
Answer:
79 minutes
Step-by-step explanation:
A plane is travelling at 180 meters per seconds
Convert to km/hr
180× 18/5
= 648 km/hr
Since 648 km equals 1 hour then the number of minutes required for the plane to travel 800 km is
= 1/648 × 800
= 1 hour 19 minutes
Conver the time to full minutes
60 minutes = 1 hour
= 60+19
= 79 minutes
Hence the minutes required for the plane to travel 800km is 79 minutes
Jello someone please help
No links or files
Answer: 15
Hope this helps!
Which function in vertex form is equivalent to f(x) = x2 + x +1?
5
ORX) = (x + 4+1
RX) = (x + 1) +
ORX) = (x + 1) +
O Rx) = (x + 1) +
3
5
Answer:
3rd option is correct
Step-by-step explanation:
:)
The vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Vertex form of an equation
Given the expression [tex]f(x) = x^2 + x +1[/tex]
The vertex form is expressed as shown below:
[tex]f(x) = x^2 + x +1\\f(x) = x^2 + x + 1^2 +1 - 1^2\\f(x) = (x+1)^2 - 0[/tex]
Express the result in vertex form.
[tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Hence the vertex form of the equation is [tex]f(x) = (x+1/2)^2 + 3/4[/tex]
Learn more on vertex form here: https://brainly.com/question/525947
A car travels according to the table of value shown.what equation can be used to predict the distance (d) the car travels in the number of hours (h)
Answer:
Vajsjke
Step-by-step explanation:
ggzodxkdfdjhs
Ronaldo can kick a soccer ball 35 meters per second which is about 80 mph. He kicked the ball from one end of the field to the other. The Field is 110m long. How long does the ball take to get from one end of the field to the other if it traveled at the same speed the entire time?
Answer:
[tex]t=3.142sec[/tex]
Step-by-step explanation:
From the question we are told that:
Speed of ball [tex]V=35m/s\approx 80 mph[/tex]
Length of field [tex]l=110m[/tex]
Generally the equation for Time taken [tex]t[/tex] is mathematically given by
[tex]t=m/V[/tex]
[tex]t=110/35[/tex]
[tex]t=3.142sec[/tex]
[tex]t \approx \frac{3.142}{60}[/tex]
[tex]t \approx 0.05hrs[/tex]
Therefore it will take the ball to get from one end of the field to the other
[tex]t=3.142sec[/tex]
Help please?
.........................
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 14. What percentage of people has an IQ score greater than 114?
Answer:
15.87%
Step-by-step explanation:
We start with getting the z score
Mathematically , we have this as;
z-score = (x-mean)/SD
where x = 114
z-score = (114-100)/14 = 14/14 = 1
So we want to calculate the probability values that are greater than 1
We can use the standard normal distribution table
so we have P(z> 1) = 0.15866
in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people
The Fitzgerald paid $3,200 to heat their home in the year of 2018. By the end of the year 2019, they saw the cost of heating their home rose to $3,516 for the year. What could be use to find the difference in what they paid from 2918-2019?
Answer:
Substraction
Step-by-step explanation:
Given that
The amount paid in the year 2018 is $3,200
And, in the year 2019 the amount paid is $3,516'
We need to find the differnece between two years so how we can find
Basically we need to subtract the amount i.e.
= $3,516 - $3,200
= $316
hence, the difference is of $316 from 2018 to 2019