To solve for w. The first step is to solve the common factor and then, solve similar terms to clear w.
\(\begin{gathered} 7(w+2)=-6(2w-1)+3w \\ 7w+14=-12w+6+3w \\ 7w+14=-9w+6 \\ 7w+9w=6-14 \\ 16w=-8 \\ w=-\frac{8}{16} \\ w=-\frac{1}{2} \end{gathered}\)w is -1/2
transformed to create the graph of Y3x?
How is the graph of the parent function
O It is horizontally stretched by a factor of 3 and reflected over the y-axis.
It is translated 3 units down and reflected over the x-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis
It is translated 3 units down and reflected over the y-axis.
Answer:
The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.
I still need help! Please! Help me
Part A = 60
Part B is C
What is the lowest common denominator for the
problem: 5/6 + 5/9
I need help
The number of hours a student spent studying each week for 9 weeks is shown.
5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5
What is the value of the range for this set of data?
3
6.5
9
12
Answer:
Step-by-step explanation:
Range is largest value - smallest value. 12-3=9! EZ
What’s the absolute value of -3
Answer:
3
Step-by-step explanation:
absolute values can never be negative.
Answer:
the absolute value is 3
Step-by-step explanation:
In 2008, 1.7m iPhones were sold. In 2012, 35.2m iPhones were sold. Assuming the sales of iPhones increases exponentially, how many iPhones should be expected to be sold in 2017?
The number of iPhones that should be sold in 2017 (since growth is exponential) is $ 6,476,635 x 10⁶. See the explanation below.
What is exponential Growth?Exponential growth is a data pattern that exhibits greater increases with time. Compounding produces exponential profits in finance. Compounding interest savings accounts may provide exponential growth.
The calculation for the above solution is as follows:
Recall that the formula for exponential growth is:
f(x) = a (1+r)ˣ
Where:
f(x) = exponential growth function
a = initial amount
r = growth rate
{x} = number of time intervals
Hence f(x) = 1.7 (1+ r)⁵
Note that x = 2017-2012 =5
r = (present value - past value)/ past value
Present value = 35.2
Past Value = 1.7
Hence r = (35.2-1.7)/1.7
r = 19.7058823529
Approximately 19.71
Hence,
f(x) = 1.7 (1+ 19.71)⁵
= 1.7 (20.71)⁵
= 1.7 x 3809785.2361
= 6476634.90137
Which is approximately = 6,476,635
Recall that our computation was done in millions hence the answer if left in standard notation is:
Increase in 2017 = $ 6,476,635 x 10⁶
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Check all solutions to the equation. If there are no solutions, check 'None."
x2=-4
Answer:
-2 is the only answer
Step-by-step explanation:
You know the answer can't be a positive number because a positive multiplied by a positive is a positive number. It is not 0 because 0 X anything is 0. -16 x 16 is way to high. But, -2 x 2 = -4
There are no real solutions
Option F is correct.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
Given equation
\(x^{2} =-4\)
Apply square root on both sides of the equation
\(\sqrt{x^{2} } =\sqrt{-4}\)
\(x=2i\)
2i is imaginary number.
There are no real solutions
Hence, Option F is correct.
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Tory is going to the fair with four of her friends. The entrance fee per person is $7.50. They plan to go together on all the rides. The cost of each ride is $3.00. Write an expression to represent the cost of the group to go to the fair for any number of rides.
Answer:
$37.5+$3r
Step-by-step explanation:
We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).
We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.
Then, you can add it which is $37.5+$3r
HI i need help wit this work
Answer:
1/6 in 1/2 = B
1/6 in 2/3 = C
1/4 in 1/2 = D
1/9 in 1/3 = A
Step-by-step explanation:
4.- Un vehículo ha tardado 23 minutos en recorrer 86 Km. Si suponemos que no cambió de
velocidad en el trayecto, ¿qué velocidad llevaba cada segundo?
5.- Hemos dado la vuelta a un circuito en 34 segundos, llevando una velocidad constante de 13
Answer:
I speak English.
Step-by-step explanation:
I am from America.
Question #3
Given the following stemplot, determine the maximum value of the original data set.
O 100
8
98
9
0000
Test Scores
5
479
6 146779
7 002557799
8 12223455789
9 000333368
The maximum value of the original data set is 109.
To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.
Looking at the stemplot:
O 10 | 0 0 8 9 8 9 0 0 0
0 20 | 5 4 7 9 6
0 30 | 1 4 6 7 7 9 7
0 40 | 0 0 2 5 5 7 7 9 9 8
0 50 | 1 2 2 2 3 4 5 5 7 8 9 9
0 60 | 0 0 0 3 3 3 3 6 8
The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".
Therefore, the maximum value of the original data set is 109.
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Perform a DuPont analysis on Healthy Body Nursing Home, Inc. Assume that the industry average ratios are as follows: Total margin: 3.9%
Total asset turnover: 0.5
Equity multiplier: 2.8
Return on equity: %
Using the DuPont analysis the return on equity is 5.46%.
What is the return on equity?
Return on equity is the ratio of net income to average total equity. Return on equity is an example of a profitability ratio. Profitability ratios measure the ability of a firm to generate profits using available resources.
Return on equity = net income / average total equity
Using the Dupont formula, return on equity can be determined using:
Return on equity = total margin x asset turnover x equity multiplier
Return on equity = (Net income / Sales) x (Sales/Total Assets) x (total asset / common equity)
3.9% x 0.5 x 2.8 = 5.46%
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Find the sum of the complex numbers (3+3i)+(8+7i)
Answer:
11 + 10i
Step-by-step explanation:
Just treat i like any other variable, and combine like terms. Hope that helps!
What is the value of the expression below? |6| + |-4|
Answer:
Your answer is 10
Step-by-step explanation:
The absolute value of |6| = 6
The absolute value of |-4| = 4
6 + 4 = 10, your answer!
Hope this helped :)
Answer:
10
Step-by-step explanation:
1. I6I + I-4I
Everything inside the absolute value comes out positive. So
2. 6+4
Add numbers together
3. 10
Vaughn is making 24 candy bags to sell at the school fundraiser. The bags of candy at the store contain 18 pieces of candy each and sell for $3.20 a bag. Vaugh will repackage this candy to include 15 pieces of candy in each bag. How much profit, not including the money he spent on the candy, will Vaugh make if he charges $3.80 per bag.
The profit that Vaughn would make if he charges $3.80 per bag is $27.20.
What is the profit?The first step is to determine the total pieces of candy that Vaughn plans to sell.
Total pieces of candy = number of pieces in each bag x total number of bags
Total pieces of candy = 24 x 15 = 360
The second step is to determine the total number of bags he has to buy.
Number of bags he is going to buy = total pieces of candy he is going to sell / number of pieces in each bag
Number of bags he is going to buy = 360 / 18 = 20 bags
The third step is to determine the total cost of buying 20 bags
Total cost = number of bags he is going to buy x cost per bag
Total cost = 20 x $3.20
Total cost = $64
The next step is to determine the total revenue from making 24 bags.
Total revenue = price per bag x total number of bags
Total revenue = $3.80 x 24
Total revenue = $91.20
Profit = revenue - cost
$91.20 - $64 = $27.20
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What is the smallest positive integer $n$ such that $\sqrt[4]{56 \cdot n}$ is an integer?
The smallest positive integer n such that t \($\sqrt[4]{56 \cdot n}$\) is an integer is 686.
We have to find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer
To find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer, we need to determine the factors of 56 and find the smallest value of n that, when multiplied by 56, results in a perfect fourth power.
The prime factorization of 56 is:
56 = 2³ × 7
The prime factors of 56 need to be raised to multiples of 4.
Therefore, we need to determine the smallest value of n that includes additional factors of 2 and 7.
To make the expression a perfect fourth power, we need to raise 2 and 7 to the power of 4, which is 2⁴ × 7⁴
The smallest value of n that satisfies this condition is:
n = 2 × 7³ = 2× 343 = 686
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In 1983, a hardcover dictionary cost $145.75. If the CPI is currently 209, what would a hardcover dictionary cost today? Round to the nearest cent.
a. $354.75
b. $304.62
$254.75
d. $209.00
Answer:
b. $304.62
Step-by-step explanation:
Just took the test and got it right
The cost of the hardcoer dictionary today given the CPI is $304.62.
What is the consumer price index?The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.
Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62
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fator the following problem x^2+12x+36
Answer:
(x-6)^2
Step-by-step explanation:
Hope this helped
Answer:
(x+6)2
Step-by-step explanation:1
What two numbers sum up to the middle term (6), and have a product of the last term (36)?
After some trial and error, we arrive at 6 and 6, which means we can factor this as
(x+6)(x+6) or (x+6)2
Another way we could have approached this is that we see that the leading term and the last term are both perfect squares.
With this in mind, we could rewrite the expression as
(x)2+12x+(6)2
Now, it becomes a little more clearer that we can factor this as
(x+6)2
What is the time in minutes, taken to cover 8.1
km at an average speed of 5 m/s?
Answer:
27 minutes
Step-by-step explanation:
(8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s) = (8.1×1000)/(5×60) min8100/300=27 minHelp answer question
Answer:
I believe lines M and L
Step-by-step explanation:
Hope it helps! =D
Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0?
Ill vote brainliest!
Levers work to move the body in a ____________ motion.
projectile
stable
balanced
agile
Step-by-step explanation:
agile is the answer I'm pretty sure
Answer:
Levers work to move the body in a ____________ motion.
projectile
stable
balanced
agile
A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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A baby weighed 6.25 pounds at birth and now weighs 8 pounds find the percent of increase.
Answer:
28% increase
Step-by-step explanation:
8 - 6.25 = 1.75
1.75/6.25
0.28
28%
Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.
On solving the provided question, we can say that - here in the percentage obtained = 500 => so, 500/1000X100 = 50%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is = 1000
obtained = 500
so, 500/1000X100 = 50%
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Cars lose value the farther they are driven. A random sample of
11
1111 cars for sale was taken. All
11
1111 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.
Complete Question
which on these linear equations best describe the given model
The description and diagram of the model is shown on the first uploaded image
Answer:
The linear equation is \(y = -\frac{1}{4}x + 40\)
Step-by-step explanation:
Generally a linear equation is mathematically represented as
\(y = mx+c\)
m is the slope which can be obtained from the graph diagram as
\(s = \frac{30 -20}{80 -40}\)
\(s = \frac{1}{4}\)
Now this slope is a negative slope as seen from the diagram so
\(s =-\frac{1}{4}\)
The intercept is 40 as seen from the graph
So the linear equation is
\(y = -\frac{1}{4}x + 40\)
Answer:
sorry i need the points
Step-by-step explanation:
10% of the library books in the fiction section are worn and need replacement. 20% of the nonfiction holdings are worn. The library's holdings are 60% fiction and 40% nonfiction. The probability to get a worn book is?
Answer: 14%
Step-by-step explanation:
Let's assume that there are 100 books in total.
So there are 60 fiction books and 40 nonfiction books.
10% of 60 is 6.
20% of 40 is 8.
So there are 14 books out of 100 that are worn.
This is 14%
I need help on this problem! I only need help on 16 please
Angle WXZ = 23°
Explanation:Angle WXZ and angle YXZ are complementary angles.
Complementary angles sum up to 90 degrees
Angle WXZ = (2x + 1)°
Angle YXZ = (7x - 10)°
Angle WXZ + Angle YXZ = 90°
(2x + 1)° + (7x - 10)° = 90°
2x + 1 + 7x - 10 = 90
collect like terms:
2x + 7x + 1 - 10 = 90
9x - 9 = 90
add 9 to both sides:
9x - 9 + 9 = 90 + 9
9x = 99
divide both sides by 9:
9x/9 = 99/9
x = 11
Angle WXZ = (2x + 1)° = 2(11) + 1
Angle WXZ = 23°
Graph f(x)=3/2x+2
Use the line tool and select two points to graph the line.
Answer:
Pick any x coordinate to substitute for x, whatever answer you get is your Y coordinate
Step-by-step explanation:
Example
x=3
(3/2)*(3) + 2 = 6.5
So my coordinates end up being (3,6.5)
pleaseeeeee help :))) I only need help with #7 because i am confuseddd
Answer:
steps below and attachment
Step-by-step explanation:
5. attachment 1: red font values would be changed
6. 2nd attachment: g(x) = (x+3)²-9
3rd attachment: h(x) = |g(x)|
7. -8≤x≤-6 or 0≤x≤2 g(x) = (x+3)²-9
-6≤x≤0 f(x) = - (x + 3)² +9