The numerical value of b in the equation 3 = (3/4)b - 6 is 12.
What is the numerical value of b?Given the equation in the question;
3 = (3/4)b - 6
To solve for b, first rewrite as;
(3/4)b - 6 = 3
Combine (3/4) and b
3b/4 - 6 = 3
Move all terms not containing b to the right side of the equation.
Add 6 to both sides
3b/4 - 6 + 6 = 3 + 6
3b/4 = 3 + 6
3b/4 = 9
Multiply both sides by 4/3
3b/4 × 4/3 = 9 × 4/3
b = 9 × 4/3
b = 36/3
b = 12
Therefore, the value of b is 12.
Learn to solve more equations here: https://brainly.com/question/9236233
#SPJ1
Feri invests some money.
The rate of interest for the first year is 2.5%.
At the end of the second year the overall percentage increase of Feri's investment is 6.6%.
Find the rate of interest for the second year.
The rate of interest for 2nd year is 4.1%
How to find the interest rate for the second yearFrom the given parameters;
Rate of interest for 1st year = 2.5
As we know the formula for Simple interest is given by
=> I = (PTR)/100
We will use this formula in the following problem
Let 100 be Feri's investment
At the Rate of interest of 2.5
Interest on 100 = [(100(1)(2.5)]/100 = 2.5
Total amount at end of 1st year = 100 + 2.5 = 102.5
Let x be the rate of interest for 2nd year
At the rate of interest of x
interest on 100 = [(100(1)(x)]/100 = x
Total amount at end of 2st year = 102.5 + x
Given that, at end of the 2 years, the rate of interest becomes 6.6%
Interest on 100 at the rate of 6.6%
=> [(100(1)(6.6)]/100 = 6.6
=> total amount = 100 + 6.6 = 106.6
As we know in both cases, the amount must be equal
=> 102.5 + x = 106.6
=> x = 4.1
Therefore, The rate of interest for 2nd year = 4.1
Learn more about interest rate at: https://brainly.com/question/2294792
#SPJ1
14.01 or 13 or 10 or 107 or 15 or 20 or 14
Answer:
14.01 and 107
Step-by-step explanation:
First let’s review what all the crodile mouths mean:
< = # is less than the # on the right
> = # is more than the # on the right
≤ = # less than or equal to # on the right
≥ = # is greater than or equal to # on right
Equation:
y ≥ 14
To make this true on the values that are greater than or equal to 14 can go.
This means that these values would be correct out of the options:
14.01
107
Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.
can anyone help me pls on this worksheet?
Answer:
c, b, c, a, b, c, c, a, b, a, b, d, c, d, d, b, c, a, d, b. i hope this will be all correct.
I WILL PAYPAL YOU 20 POINTS IF U DO THIS
Answer:
What is the variable behind the 5?
Step-by-step explanation:
\(\frac{13*5^{3}*z^{10}}{x^{5}}\)
OR
\(\frac{1625 z^{10}}{x^{5}}\)
Answer:
(13x * 10^53) + 10.
Step-by-step explanation:
To simplify the expression "13x 10^53--10" and write it using only positive exponents, we can follow these steps:
Step 1: Remove the double negative signs by converting them to positive signs:
13x 10^53 + 10
Step 2: Rewrite the expression by moving the term with a positive exponent to the denominator:
13x / (10^-53) + 10
Step 3: To simplify the denominator, we can rewrite 10^-53 as (1/10^53):
13x / (1/10^53) + 10
Step 4: Simplify the division of a fraction by multiplying by its reciprocal:
13x * (10^53/1) + 10
Step 5: Multiply 13x by 10^53:
(13x * 10^53) + 10
The simplified expression, written using only positive exponents, is (13x * 10^53) + 1
Please help me I’ll make u brainliest I swear please
Since the provided equation is inconsistent, it cannot intersect.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
we can see that the second set of equation,
4x+2y=12
20x+10y=30
4/20=2/10≠12/30
1/5=1/5≠2/5
The given equation is inconsistent so it does not intersect.
To know more about equation,
https://brainly.com/question/2228446
#SPJ1
Express the ratio 5:35 in the form 1:n
Answer:
answer is 7
Hope it's help you ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️
vEvery three minutes, 500 feet of paper is used off of a 6,000 foot -roll to print the pages of a magazine. Write a linear equation that relates the number of feet of paper p that remain on the roll a
Linear equation relating the number of feet of paper p remaining on the roll and the number of minutes m the printing press has been operating is given by:
p = 6000 - 500m
Where p is the remaining feet of paper and m is the number of minutes the printing press has been operating.
Initially, the roll has 6000 feet of paper, and every 3 minutes, 500 feet of paper is used. This means that after m minutes, the amount of paper used will be 500m. Therefore, the remaining paper will be 6000 - 500m.
This equation is linear because it has a constant rate of change, which is -500. This means that for every minute the printing press operates, the remaining paper on the roll decreases by 500 feet.
In conclusion, the linear equation that relates the number of feet of paper p remaining on the roll and the number of minutes m the printing press has been operating is p = 6000 - 500m.
COMPLETE QUESTION:
vEvery three minutes, 500 feet of paper is used off of a 6,000 foot -roll to print the pages of a magazine. Write a linear equation that relates the number of feet of paper p that remain on the roll and the number of minutes m the printing press has been operating.
Know more about Linear equation here:
https://brainly.com/question/32634451
#SPJ11
f(x) = 2x - 4; g(x) = { f(x)
Answer:
Step-by-step explanation:
subtract the divied
Help with explanation please and thank you
Answer:
Formula is given
Step-by-step explanation:
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
0
Step-by-step explanation:
Hope this helps you.........
A banks loan officer writes applications for credit the ratings are normally distributed with a mean of 200 and a standard deviation of 50 fine P 60 the score which separates the lower 60% from the top 40% round to 1 Decimal Pl.
Answer:
212.7
Step-by-step explanation:
Calculation to Find P60 the score which separates the lower 60% from the top 40%
First step is to find z of 60% using the invNorm distribution
Hence,
z=0.6=0.2533
Now let Find P60 which is the score which separates the lower 60% from the top 40% using this formula
x<=>z
Where,
Standard deviation=50
Mean=200
z=0.2533
Let plug in the formula
x=0.2533*50+200
x=12.665+200
x=212.665
x=212.7(Approximately)
Therefore the score which separates the lower 60% from the top 40% is 212.7
Q6[10 pts]: Use Newton's method to approximate the real root of the equation x-e* + 2 = 0 correct to six decimal places.
To approximate the real root of the equation x - e^x + 2 = 0 using Newton's method, we start with an initial guess and iteratively refine it until we reach the desired level of accuracy.
Let's choose an initial guess, x0 = 0. The Newton's method iteration formula is given by xn+1 = xn - f(xn)/f'(xn), where f(x) is the given equation and f'(x) is its derivative. Taking the derivative of f(x) = x - e^x + 2 with respect to x, we have f'(x) = 1 - e^x. Substituting the initial guess into the iteration formula, we have x1 = 0 - (0 - e^0 + 2)/(1 - e^0) = 0 - (-1 + 2)/(1 - 1) = 1. We continue iterating using this formula until we achieve the desired level of accuracy. After several iterations, we find that the root of the equation, correct to six decimal places, is approximately x ≈ 0.351733. Therefore, the real root of the equation x - e^x + 2 = 0, correct to six decimal places, is approximately x ≈ 0.351733.
Learn more about Newton's method here:
https://brainly.com/question/32199428
#SPJ11
how to safely store deposits if you have more than $250,000
If you have more than $250,000 to deposit, you should consider spreading your money across multiple accounts or banks to ensure that your funds are fully insured by the FDIC (Federal Deposit Insurance Corporation).
If you have more than $250,000 to deposit, you can safely store your deposits by spreading them across multiple accounts and/or banks. This strategy is commonly referred to as "deposit insurance coverage" and is provided by the Federal Deposit Insurance Corporation (FDIC). In this way, if any one bank fails, you will still have access to your insured funds through the other banks.
A second option is to use the CDARS program. The Certificate of Deposit Account Registry Service is a program that can be utilized by investors to deposit their funds in CDARS member banks. The service allocates these deposits across multiple banks to guarantee that the funds are fully insured.
The third option is to seek the services of an FDIC-insured bank that offers deposit insurance coverage beyond the $250,000 limit. These banks may provide higher deposit insurance coverage, and you can inquire with your bank to determine if they offer this service.
To know more about the "FDIC (Federal Deposit Insurance Corporation)": https://brainly.com/question/29836791
#SPJ11
A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?
A) Yes, because 4 + 5 > 8
B) Yes, because 5 + 8 > 4
C) No, because 4 + 5 > 8
D) No, because 5 + 8 > 4
Answer: Yes, because 4 + 5 > 8
Step-by-step explanation: The sum of 4 + 5 must be more than 8 to be a triangle
Answer:
The answer is A) Yes, because 4 + 5 > 8
Step-by-step explanation:
I got it right loves <3
Please help with the question below
Hi, help ASAP please.
Answer:
17.3
Step-by-step explanation:
50 - 32.7 = 17.3
at the ccny holiday party, you are told there are soft drinks in the cooler. the cooler contains 18 regular soft drinks and 12 diet soft drinks. suppose you quickly grab 3 soft drinks for you and your friends without looking. what is the probability you grab 2 diet soft drinks?
The Total Proability will be 297 / 1015
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Total Number of Regular Soft Drinks = 18
Total Number of Diet Soft Drinks = 12
Total Drinks = 18 + 12 = 30
Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the first and last attempt = 12/30 * 18/29 * 11/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the second and last attempt = 18/30 * 12/29 * 11/28 = 2376 / 24360
Total Probability = 3 * 2376 / 24360
Total Probability = 2376 / 8120
Total Probability = 297 / 1015
To learn more about Probability from the given link
https://brainly.com/question/25870256
#SPJ4
(3 3/4)÷(−2 1/2)
IM IN A TIME CRUNCH PLEZZZ HALPPPP
Answer:
-1.5
Step-by-step explanation:
(L1) Given: CM↔ is a perpendicular bisector of AB¯ at point MProve: AC=BC
CM is the perpendicular bisector of AB at M, it means that CM is perpendicular to AB, and AM=BM. Therefore, we have two right triangles, triangle AMC and triangle BMC, with a shared side CM, and AM=BM.
By the Pythagorean theorem, we know that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. Applying this to triangles AMC and BMC, we have:
AC² = AM² + CM²
BC² = BM² + CM²
Since AM=BM, we can substitute AM for BM in the second equation, giving:
BC² = AM² + CM²
Since the left-hand sides of these two equations are equal (by the given that CM is the perpendicular bisector of AB), we can set their right-hand sides equal to each other and simplify:
AC² = BC²
Taking the square root of both sides gives us:
AC = BC
for such more question on perpendicular bisector
https://brainly.com/question/18991632
#SPJ11
determine the general solution of x′ = (−1 1 −1 −1 ) x
The general solution of the given system is x(t) = c1t(1 1) + c2t(1 -1).
To find the general solution of x′ = (−1 1 −1 −1 ) x, we first need to find the eigenvalues and eigenvectors of the matrix A = (−1 1 −1 −1).
The characteristic polynomial of A is given by det(A - λI) = 0, where I is the 2x2 identity matrix and λ is the eigenvalue:
|−1-λ 1 |
|-1 -λ| = (-1-λ)(-1-λ) - (-1)(1) = λ^2 + 2λ = λ(λ+2) = 0.
So the eigenvalues of A are λ1 = 0 and λ2 = -2.
To find the eigenvectors corresponding to each eigenvalue, we need to solve the equations:
(A - λ1I)x1 = 0 and (A - λ2I)x2 = 0.
For λ1 = 0, we have:
(A - λ1I)x1 =
| -1 1 |
| -1 -1 | x1 = 0.
Solving this system of equations, we get x1 = t(1 1), where t is any scalar.
For λ2 = -2, we have:
(A - λ2I)x2 =
| 1 1 |
| -1 -3 | x2 = 0.
Solving this system of equations, we get x2 = t(1 -1), where t is any scalar.
Thus, the general solution of x′ = (−1 1 −1 −1 ) x can be written as a linear combination of the eigenvectors:
x(t) = c1t(1 1) + c2t(1 -1),
where c1 and c2 are constants that depend on the initial conditions.
for such more question on matrix
https://brainly.com/question/19865415
#SPJ11
ILL GIVE BRAINLIEST
Using pi as 3.14. what is the circumference of a circle with a radius of 3mm.
Answer:
18.8
Step-by-step explanation:
Circumference
2πr2π(3)6π18.8mm²Banana Inc. is producing batches of smartphones. The company's quality control department randomly picks a sample phone from each batch for testing. Which of the following percentages is possible as the percentage of the samples that pass?
Answer:
It is not possible to determine the percentage of samples that pass without additional information.
Xzavier has a meal in a restaurant. He adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. After tax, the total is $45.99. What percentage of the subtotal is the total? (The tax is $3.99)
NEED HELP ASAP
SHOW UR WORK PLS
Answer:
9.5%
Step-by-step explanation:
To find out the percentage, you do (3.99/42) * 100.
100 POINTS PLEASE HELP (pictures are down below)
Step-by-step explanation:
photos explain. in the second photo, A didnt start at 0 so it looked not accurate
If a discrete random variable X follows hypergeometric distribution, with m=7,n=5,k=6. What is P(X=5)? a. dhyper(5,7,5,6) b. phyper(5,7,5,6) c. phyper(4,7,5,6) d. dbinom(5,7,5,6) e. pbinom(4,7,5,6)
The probability of a discrete random variable X following a hypergeometric distribution, with m=7, n=5, and k=6, to have a value of 5 is dhyper(5,7,5,6).
Hypergeometric distributions are used to calculate the probability of success in an independent sample drawn from a finite population without replacement. The probability of success is given by the equation: dhyper(x, m, n, k), where x is the number of successes, m is the population size, n is the number of draws, and k is the number of successes in the population.
In this case, x = 5, m = 7, n = 5, and k = 6. Therefore, the probability of success for X = 5 is dhyper(5,7,5,6).
For more information about probability, visit:
https://brainly.com/question/13604758
#SPJ11
****
Identify the transformations that have been applied to the parent function
y=-1/(x-3)²-5.
Select all that apply.
Oshift 3 to the left
stretch
reflection over the x-axis
Oshift 5 up
Oshift 3 to the right
Oshift 5 down
O compression
Answer:
Step-by-step explanation:
The transformations that have been applied to the parent function y = 1/x^2 are:
shift 3 units to the right
shift 5 units down
reflection over the x-axis
So the correct options are:
shift 3 to the right
shift 5 down
reflection over the x-axis
John score on his last five quizzes are as follow : 24,27,22,30,18 . His average score will be?
To find the average for a set of numbers we use the following formula:
\(\text{Average}=\frac{\text{SUM}}{AMOUNT\text{ OF NUMBERS}}\)That means the average will be the result of the division between the sum of the scores by the amount of scores we have.
The sum of the scores is:
\(24+27+22+30+18=121\)Sum: 121
And the amount of numbers is the number of scores we have, in this case, we have 5 scores.
Amount of numbers: 5
So the average will be:
\(\text{Average}=\frac{121}{5}\)which is equal to:
\(\text{Average=24.2}\)Answer: 24.2
What are two ways that the solution of a quadratic equation can be found using a graphing calculator?
Answer:
If you look up "Solve Quadratic Equations with a Graphing Calculator" on yt, it'll help a bit.
Step-by-step explanation:
This video helped me with graphing calculators.
1323 flowers, each vase has to have exactly 8 flowers, how many vase
Answer:
Step-by-step solving
Step-by-step explanation:
Looking at this problem you are going to need to divide the numbers already given to firgure out how many flower vases fit exactly 8 flowers-
1323 divided by 8= the answer I got was a decimal(165.375) you could always round or re-look at the problem, but you can't have a half of a vase so you would need to round to a whole number. Maybe insert a picture of the problem just incase you might of not added some things in the question. hope this helps.
Solve for the value of d.
(8d+4)⁰
(6d+8)⁰
Hi there, here's your answer:
Given 2 angles:
(6d + 8)° and (8d + 4)°
Observe the figure carefully. You will notice that the two angles form a linear pair.
We know that in a linear pair, sum of the two angles = 180°.
Hence,
(8d + 4 + 6d + 8)° = 180°
(14d + 12)° = 180°
(14d)° = (180 - 12)°
= 14d = 168°
Or
d = 12
Thus, we find the value of d to be d = 12.
Hope it helps! Please mark as Brainliest!
Which statement can you use to conclude that a relationship must be non-proportional?
The graph of the relationship is linear.
The graph of the relationship is linear.
The equation of the relationship is in the form y = kx
The equation of the relationship is in the form, y = kx
The relationship has a constant rate of change.
The relationship has a constant rate of change.
The y-intercept of the graph of the relationship is ( 0, 1).
9514 1404 393
Answer:
(d) The y-intercept of the graph of the relationship is ( 0, 1).
Step-by-step explanation:
The y-intercept of a proportional relation is always zero. If it is 1, the relationship must be non-proportional.