Answer:
6.7
Step-by-step explanation:
Make a proportion (similar triangles):
(15) / (10+x) = 6/x
15x = 60 + 6x
9x = 60
x = 6.7
1. Simplify the following expression which creates an equivalent expression.
7x-8x+14-26-3x
Answer:
-4x-12
Step-by-step explanation:
7x-8x-3x = -4x
14-26 = -12
-4x-12
i dont understand this
How do you solve a system of linear equations by graphing?
9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
__
The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
How do I find the answer to this question?
Answer:
you see
Step-by-step explanation:
What is the midpoint of the segment shown below?
-10
(-4, 6)
10
-10
(4,-2)
10
Answer:
Step-by-step explanation:
uestion
Convert: a. 350 hL to liters and b. 4.1 to.centiliters.
Answer:
35000 Litre
Step-by-step explanation:
Recall:
1 hectoliter = 100 liter
Hence,
350 hectoliter = (100 * 350) = 35000 Litre
Question B. Isn't clearly stated
2logb - 3logb = log8b - log4b
Answer:
b=1/2
Step-by-step explanation:
2logb - 3logb = log8b - log4b
log\(b^{2}\) - log\(b^{3}\) = log8b - log4b
log(\(\frac{1}{b}\)) = log(2)
∴1/b = 2
∴b = 1/2
Factor
(a-2b) (3x-5y) + (2b-a)(x-y)
Answer:
8by + 2ax - 4bx - 4ay
Step-by-step explanation:
I assume you mean expand so:
(a - 2b)(3x - 5y) + (2b - a)(x - y)
3ax - 5ay - 6bx + 10by + 2bx - 2by - ax + ay
Now collect like terms:
2ax - 4ay - 4bx + 8by
This is your answer but in a better order:
8by + 2ax - 4bx - 4ay
A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery?
Answer A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery is $0.50
What is the quadratic regression equation that fits these data
Answer:
Rounded to two decimals the regression curve is:
\(y=-0.70\,x^2+2.37\,x+11.96\)
Step-by-step explanation:
The objective of this problem is to have you use a calculator and enter the data in to separate lists: one containing the x-values, and the other the correspondent y-values (following the same order).
Once the data is entered, you need to access the regression tool and request a quadratic form of regression.
You should get and image and resulting function as shown in the attached image.
Answer:
Rounded to two decimals the regression curve is:
Step-by-step explanation:
Divide 100 by 16 and write the answer as a mixed number. Reduce the
fraction part of the mixed number.
Answer:
Step-by-step explanation:
Divide 100 by 16 and you get 6.25 then turn it into a mixed number which would be 6 25/100 then reduce 25/100 by dividing 100 by 25 and 25 by 25 which will give you 1/4 so the answer is 6 1/4.Welcome!
Which is a Fibonacci number?
189
7
233
6
Answer:
233 is a Fibonacci number
Step-by-step explanation:
The radius of a circle is 9 meters. What is the length of a 45° arc?
Answer:
7.07m
Step-by-step explanation:
radius = 9m, ∅ = 45
length of arc = ∅/360 * 2πr
=> 45/360 * 2 * 22/7 * 9
=> 99/14 = 7.07m
hope this helps!
16. Model Real Life Your aunt and uncle
buy 2 personal watercrafts for $3,495
each. They make 10 equal payments
for the watercrafts. What is the amount
of each payment?
7
TR
The amount of each payment is $699.
What is payment?
Payment refers to the exchange of something of value as a condition of a contract. While one party pays money and receives something else of value, the other party gets paid in return for delivering a good or service. Physical currency was once the most common form of payment, but nowadays most forms of payment use technology.
Given: Buy 2 personal watercrafts for $3,495 each.
So, the price for 2 watercrafts is, 2 x $3495 = $6990
They make 10 equal payments for the watercrafts.
So each payment is of $6990/10 = $699.
Hence, the amount of each payment is $699.
To know more about payment, click on the link
https://brainly.com/question/25793394
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What is the next number in the series: 4, 5, 9, 25, 89, ___
Answer:
345
Step-by-step explanation:
1 + 4 = 5
4 + 5 = 9
16 + 9 = 25
64 + 25 = 89
1, 4, 16, and 64 are powers of 4. The next power of 4 is 256.
256 + 89 = 345
The answer is 345 (don’t ask why)
The current population of a small city is 37000 people. Due to a loss of jobs, the population is decreasing by an average of 275 people per year. How many years (from now) will it take for the population to decrease to 35350 people?
A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use x as your variable and use no commas in your equation.
The equation is:
B) Solve your equation in part [A] for x.
Answer: x=
Part A
x = number of years
275x = number of people that left the city after x years go by
37000 - 275x = number of remaining people after x years
37000 - 275x = 35350 is the final answer to part A
=======================================================
Part B
37000 - 275x = 35350
-275x = 35350 - 37000
-275x = -1650
x = -1650/(-275)
x = 6
It takes exactly 6 years to have the population reach 35350.
Rework Cantor’s proof from the beginning. This time, however, if the digit under consideration is 4, then make the corresponding digit of M an 8; and if the digit is not 4, make the associated digit of M a 4.
M is not on the list, and thus the list cannot be a complete listing of all real numbers between 0 and 1.
What is inductive reasoning?Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.
Here,
Georg Cantor's diagonal argument is proof by contradiction that shows that there are more real numbers than natural numbers. Here's how the proof can be reworked with the given modification:
Suppose that we have a list of all real numbers between 0 and 1, written in decimal form. We will show that this list cannot be a complete listing of all real numbers between 0 and 1.
Let M be a new real number whose decimal expansion is obtained by following the following rule: if the nth digit of the nth number on the list is 4, then the nth digit of M is 8; if the nth digit of the nth number on the list is not 4, then the nth digit of M is 4.
Since each number on the list has a unique decimal expansion, M is a real number between 0 and 1, and its decimal expansion is different from the nth number on the list in the nth digit for all n.
Therefore, M is not on the list, and thus the list cannot be a complete listing of all real numbers between 0 and 1.
Learn more about inductive reasoning here, https://brainly.com/question/8419798
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Problem 1: Your grades on your first three math tests were 81, 76, and 78. You have one
more test to take. What grade do you need on that last test in order to get an 80
average?
Problem 2: You have $65 in your saving account, and your brother has $140 in his savings
account. You are depositing $15 per week to your account, and your brother is depositing
$10 per week to his account. In how many weeks will you and your brother have the same
amount of money?
You need to get an 85 on your last test
Raul tried to evaluate an expression step by step.
Answer:
(B) Step 2
Step-by-step explanation:
In step 2, Raul should have had one of these results:
8 -7 . . . . according to the order of operations
or
3 -2 . . . . properly adding 5 -7
Raul's step 2 is not either of these (or 5-4), so is incorrect.
Answer:
step 2 i did it on khan yall
Step-by-step explanation:
it has been observed that a particular plant's growth is directly proportional to time. it is measured 2 cm when ut arrived at the nurseryand 2.5 cm exactly one week later. if the plant continues to grow at this rate. determine the function that represents the plant's growth and graph it.
Answer:
obsetion with plant growth lol, anyways your answer is negative ax+3=-34f
Step-by-step explanation:
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
A population of values has a normal distribution with u = 69.4 and o = 18.9. You intend to draw a random
sample of size n = 185. Please show your answers as numbers accurate to 4 decimal places.
Find the probability that a single randomly selected value is between 65.9 and 68.8.
P(65.9 < X < 68.8) =
Find the probability that a sample of size n = 185 is randomly selected with a mean between 65.9 and 68.8.
P(65.9 < < 68.8) =
Answer:
234
Step-by-step explanation:
You invest 1,000 in one account and 4,000 in another, both accounts have the same interest rate over the same amount of time. How will the interest earned compare?
Answer:
the $4000 WILL EARN 4 TIMES THE AMOUNT OF INTEREST.
Step-by-step explanation:
If both investments have same interest they will grow in the same proportion that the initial amount have.
multiply (11x+y)² what is the answer?
Answer:
121x+y²
Your Welcome
BIFFY OUT!!!
How do you solve -3(1-(-2))•2+3-12÷6
Answer:
-17
Step-by-step explanation:
-3(1-(-2))•2+3-12÷6 (first parenthesis)
-3(3)•2+3-12÷6 (Multiplication with parenthesis)
-9•2+3-12÷6 (them multiplication and division are on the same level)
-18+3-2 (adding and subtraction are on the same level)
-17
make M the subject
\( \frac{u}{ \sqrt{2 } } = ( \frac{m + n}{g} ) {0}^{0.5} \)
Answer: \(M=\frac{gu^2}{2}-N\)
Work Shown:
\(\frac{u}{\sqrt{2}} = \left(\frac{M+N}{g}\right)^{0.5}\\\\\\\left(\frac{M+N}{g}\right)^{0.5}=\frac{u}{\sqrt{2}}\\\\\\\sqrt{\frac{M+N}{g}}=\frac{u}{\sqrt{2}}\\\\\\\frac{M+N}{g}=\left(\frac{u}{\sqrt{2}}\right)^{2}\\\\\\\frac{M+N}{g}=\frac{u^2}{(\sqrt{2})^2}\\\\\\\frac{M+N}{g}=\frac{u^2}{2}\\\\\\M+N=\frac{gu^2}{2}\\\\\\M=\frac{gu^2}{2}-N\\\\\\\)
A loan of $20,000 is made at 5.75% interest, compounded annually. After how many years will the amount due reach
$31,000 or more? (Use the calculator provided if necessary.)
Write the smallest possible whole number answer.
Answer:
8 years ($31,280.45)
Step-by-step explanation:
Is 11/16 greater than less than or equal to 3/8
Answer:
Greater than
Step-by-step explanation:
3/8 = 6/16
6<11
therefore, 11/16 is greater than 3/8
write in exponential notation
Answer:
\((-6)^{7}\)
Step-by-step explanation:
using the rule of exponents
• \(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
then
\((-6)^{5}\) × (- 6)²
= \((-6)^{(5+2)}\)
= \((-6)^{7}\)