Reasons
GivenA midpoint splits a segment into two congruent partsA triangle with a right angle is a right triangleHLSimplify 45÷3[90÷45{6+3(19-16)}]
Step-by-step explanation:
45÷3[90÷45{6+3(19-16)}]45÷3[90÷45{6+3(3)}]45÷3[90÷45{6+9}]45÷3[90÷45{15}]45÷3 [90÷675]\(\frac{\cancel{45}^\ {15}}{\cancel3} * \frac{6}{45}\)\( \cancel{15} × \frac{6}{\cancel{45}^\ {3}}\)6/32\(\\\\\\\)
The equation of \($\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]\) is 165.
What is PEMDAS rule?
PEMDAS exists as an acronym for the terms parenthesis, exponents, multiplication, division, addition, and subtraction.
How to simplify the equation of \($\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]\)?Given:
\($\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]\)
45/3 = 15
Simplifying the given equation, we get
\($\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]=15\left[\frac{90}{45}+3(19-16)\right]\)
90 / 45 = 2
By simplifying the above equation, then we get
= 15[2 + 3(19 -16)]
By using the PEMDAS rule
15[2 + 3(19 -16)] = 11
\($\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]= 15*11\)
= 165
Therefore, the equation of \($\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]\) is 165.
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The table gives the number of branches on a large tree after the year 2000. Which kind of function best models this relationship?
Answer: Exponential
Step-by-step explanation:
Answer:
answer with proof lol
Step-by-step explanation:
Draw clearly the graph of the linear equation. y=1/2x, where x= (-4 -2, 0, 2, 4)
Answer:
(in attachment)
Step-by-step explanation:
you can find the points by inputting the x-values into the equation to solve for the y-values, then connecting the plotted points to create the line.
When x=-4
y=1/2(-4)
y=-2
(-4,-2)
Repeat for all values.
In 2012, the population of a city was 6.29 million. The exponential growth rate was
2.41% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 8 million?
d) Find the doubling time.
a) The exponential growth function is P(t) = 6.29 e 0.02411, where t is in terms of
the number of years since 2012 and P(t) is the population in millions.
(Type exponential notation with positive exponents. Do not simplify. Use integers
or decimals for any numbers in the equation.)
b) The population of the city in 2018 is million.
(Round to one decimal place as needed.)
c) The population of the city will be 8 million in about years after 2012.
(Round to one decimal place as needed.)
d) The doubling time is about years.
(Simplify your answer. Round to one decimal place as needed.)
9514 1404 393
Answer:
a) P(t) = 6.29e^(0.0241t)
b) P(6) ≈ 7.3 million
c) 10 years
d) 28.8 years
Step-by-step explanation:
a) You have written the equation.
P(t) = 6.29·e^(0.0241·t)
__
b) 2018 is 6 years after 2012.
P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million
__
c) We want t for ...
8 = 6.29·e^(0.0241t)
ln(8/6.29) = 0.0241t
t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years
__
d) Along the same lines as the calculation in part (c), doubling time is ...
t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years
Graph x = 4 help please!!! :(
Answer:
x = 4 would be a vertical line along with the value x=4
Step-by-step explanation:
The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.
what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall
The longest segment is —
pleaseeee
Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given
\(l = 14cm\)
\(w = 11cm\)
\(h = 7cm\)
Required
The length of the longest segment (d)
This is calculated using:
\(d = \sqrt{l^2 +w^2 + h^2\)
So, we have:
\(d = \sqrt{14^2 +11^2 +7^2\)
Using a calculator, the equation becomes
\(d = \sqrt{366\)
Take square roots
\(d = 19.13cm\)
How much larger is 8 x 10^8 compared to 2 x 10^5?
О 4 times larger
O 40 times larger
O 400 times larger
O 4,000 times larger
3. (a) If 12 men builds a house in 6days, how long will it take 20 men to build the same house?
(b) If a man spends 6 days in April for his honeymoon, what percentage of April did he spend on his honeymoon?
The solution is :
So, you need 3 days approximately.
Here, we have,
We will use Chain Rule to solve this question.
According to Chain Rule, the work efficiency remains constant.
• WWF×TWWF×T= Constant
• Here W = Work Done, WF = Workforce, T = Time.
Let the number of days needed be 'x'.
Applying Chain Rule,
10×9×6= 15×12×(x)
Or, x=3x=3 day
So, you need 3 days approximately.
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from the given graph: state it's
a) amplitude
b) period
c) function of the graph:
Step-by-step explanation:
The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.
The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).
Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).
Function of graph:
By playing around in a graphing calculator, I got the equation to be
2 (cos (x + pi/2)).
the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.
The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $27.00. With the coupon book, the fare is reduced to
$1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost
with the coupon book.
27 times in a month the bus must be used to make the cost equals with coupon book and without coupon book.
Given,
The bus fare in a city without coupon book = $2.00
The cost of coupon book for a month = $27.00
The reduced fare when using coupon book = $1.00
Now, we have to find the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
Number of trips in a month = x
Without coupon:
Total amount = rate × x
Total amount = 2 × x = 2x
With coupon:
Total amount = coupon + rate × x
Total amount = 27 + 1 × x = 27 + x
We have to equate this:
2x = 27 + x
2x - x = 27
x = 27.
That is,
27 times in a month the bus must be used to make the cost equals with coupon book and without coupon book.
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Carlos find the absolute value of -5.3 and then if I the opposite of an answer. Jason find the opposite of -5.3 and then find the absolute value of his answer. Who’s final value is greater? Explain.
The person who has a greater number will be Carlos since 5.3 is more than -5.3.
How to illustrate the information?It should be noted that Carlos find the absolute value of -5.3. This will be - (-5.3) = 5.3.
On the other hand, Jason find the opposite of -5.3 and then find the absolute value of his answer. This will still be -5.4
Therefore, the person who has a greater number will be Carlos.
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Negative seven is less than negative six.
True or False
Answer:
true
Step-by-step explanation:
negatives keep getting smaller and smaller
Answer:
false
Step-by-step explanation:
negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, take away 1 and multiply the result by 3."
Please answer
you didn't say what number you would think of
I'm guessing this is multiple choice but the formatting of the question is a bit hard to understand.
write it algebraically as 2x
2x just means multiply x by 2
The algebraic equation for the other example is 3(x-1) which is 3x - 3
This is not multiplying by two, so it is wrong.
How do you solve for x if x/5 = 7/3
We get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.
An equation is a combination of two expressions connected by an equal sign.
We are given an equation:
x / 5 = 7 / 3
We need to find the value of x.
Multiply both sides by 5
x / 5 × 5 = 7 / 3 × 5
x = 35 / 3
Now, we will divide 35 by 3 and round off the result to two decimal places:
x = 11.67
Therefore, we get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.
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41 is a prime number found in the middle of a list of 7 consecutive numbers. find the 7 consecutive numbers
Answer: 29, 31, 37, 41, 43, 47, 53.
Step-by-step explanation:
1. What is the number of students of Class
VIII whose marks obtained in an examination
are expressed in the following frequency distribution
Answer:
40 students
Step-by-step explanation:
and all the frequencies
there should one student per tally mark because the tally is measuring grades
Hope that helped!!! k
Answer:
\(\Huge \boxed{40}\)
Step-by-step explanation:
Adding all the frequencies in the frequency distribution gives the total number of students.
\(6+10+8+9+7=40\)
The number of students in class VIII whose marks obtained in an examination are 40.
List two pairs of angles in square CDFG that are complementary
Answer:
1st pair: ∠C + ∠M
2nd pair: ∠G + ∠M
Step-by-step explanation:
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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How is international trade MOST likely to impact companies and individuals?
A.
Companies may choose to move their business to a different country.
B.
Consumers have to learn a new language to be able to purchase goods from other countries.
C.
Goods are no longer allowed to be traded from one country to another.
D.
Consumers have fewer choices in products.
Companies may choose to move their business to a different country.
Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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Given m || n, find the value of x and y.
X=
(5y+19)
(2x+1)
y =
(3x-19)
m2
72
uyfgwu wfweiufw wuifhw ifew iuf iuf 7gi
Cindy owns a plot of land measuring 630 yards wide by 987 yards long what is the area of the land in square yards, square feet, acres and square miles
Answer:
621,810 square yards
1,865,430 square feet
128.47 acres
353.30 square miles
Step-by-step explanation:
Since Cindy owns a plot of land measuring 630 yards wide by 987 yards long, to determine what is the area of the land in square yards, square feet, acres and square miles, the following calculations must be performed:
1 yard = 3 feet
1 square yard = 0.000206612 acres
1 yard = 0.000568182 miles
Square yards: 630 x 987 = 621,810 square yards
Square feet: 621,810 x 3 = 1,865,430 square feet
Acres: 621,810 x 0.000206612 = 128.47 acres
Square miles: 621.810 x 0.000568182 = 353.30 square miles
Please help! 20 pts and brainliest!! An isosceles triangle has an angle that measures 124°. Which other angles could be in that isosceles triangle? Choose all that apply. 124, 28, 65, 41
Answer:
Step-by-step explanation:
In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:
124+2x=180
2x=56x=28
Please brainlest!
Evaluate the expression, writing the result as a simplified complex number.
To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.
\frac{(2+i)(4-2i)}{1+i}
The simplified expression involving complex numbers is given as follows:
5 + 5i.
What are complex numbers?Complex numbers are number that have a real and an imaginary part, and are defined as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The basic relation of complex numbers is given as follows:
i² = -1.
The fraction for this problem is given as follows:
(2 + i)(4 - 2i)/(1 + i).
The numerator is simplified as follows:
(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.
Hence the fraction is of:
10/(1 + i).
To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:
10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.
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Prove that 4^n + 15n - 1 is divisible by 9 if n is a natural number.
The function 4^n + 15n - 1 is divisible by 9 if n is a natural number.
What is the proof of divisibility by 9?
A number is divisible by 9 if the sum of its digits is divisible by 9.
The given number = 4^n + 15n - 1
so we are going to test different natural numbers as n, to check if the resulting number is divisible by 9.
let n = 1
4^(1) + 15(1) - 1 = 4 + 15 - 1 = 18
sum of 18 = 1 + 8 = 9
9 is divisible by 9
let n = 2
4^(2) + 15(2) - 1 = 16 + 30 - 1 = 45
sum of 45 = 4 + 5 = 9
9 is divisible by 9
Thus, if is proved that 4^n + 15n - 1 is divisible by 9 if n is a natural number.
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plz hellllppppp -9+n/4 = -7
Answer:
n=-37
Step-by-step explanation:
9+n/4 = -7
First, we multiply each side by 4:
9+n= -28
Subtract 9 from both sides
n= -37
Hope this helps!!!
Answer:
n=8
Step-by-step explanation:
\(-9+\frac{n}{4}=-7\\ \frac{n}{4}=-7+9\\\frac{n}{4}=2\\ n=4*2\\n=8\)
someone help with tbis
Answer:
0.
The line is vertical, so its 0.
6 x (3+2) divided by 10
What sequence is generated by the function f(n+1)=f(n)-2 for f(1)=10
Answer:
-3
Step-by-step explanation:
Omar has a classic car valued at $24275. It has been appreciating in value at the rate of 4.05% per
year. How much can he expect the car to be worth in 10 years?
The computation of the future value is $92,691.08
How to calculate the future value?As we know that
Future value = Present value × (1 + interest rate)^number of years
where, the Present value is $24275
The Interest rate is 4.05%
And, the number of the year is 10 years
Now placing these values to the above formula;
So, the future value is;
Future value = Present value × (1 + interest rate)^number of years
= $24275× (1 + 0.0405)^10
= $24275× 1.448298166
= $92,691.08
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