answer:
x = 14
explanation:
7x - 1 + 6x - 1 = 180
( group like terms )
7x + 6x - 1 - 1 = 180
( add like terms: 7x + 6x = 13x )
13x - 1 - 1 = 180
( subtract whole numbers: -1 - 1 = -2 )
13x - 2 = 180
( add 2 to both sides )
13x - 2 + 2 = 180 + 2
( simplify )
13x = 182
( divide both sides by 13 )
13x / 13 = 182 / 13
( simplify )
x = 14
(Will give Brainliest) please Help this is very Easy I just don't know
Write the expression in repeated multiplication form. Then write the expression as a power.
5^6 * 5^3
The expression in repeated multiplication form is____
The expression as power is _____
Answer:
5x5x5x5x5x5x5x5x5
Step-by-step explanation:
5^6 is basically saying 5 times itself 6 times. 5x5x5x5x5x5
Same with 5^3
5x5x5
Put then together you get 5^9
5x5x5x5x5x5x5x5x5
Answer:
5*5*5*5*5*5*5*5*5 and 5^9
Step-by-step explanation:
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent interest rate, and how many times will the money be compounded?
1.75% and 1 time
5.7% and 4 times
1.75% and 16 times
5.7% and 16 times
Answer:
1.75% and 16 times
Step-by-step explanation:
Compound interest formula:
\(\sf A=P(1+\frac{r}{n})^{nt}\)
where:
A = final amountP = initial principal balancer = annual interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periodsGiven:
P = $600r = 7% = 0.07n = 4t = 4Substituting given values into the formula:
\(\sf \implies A=600(1+\frac{0.07}{4})^{4 \times4}\)
\(\sf =791.9576107...\)
Equivalent interest rate:
\(\sf \implies \dfrac{r}{n}= \dfrac{0.07}{4}=0.0175=1.75 \%\)
Number of times compounded:
\(\sf \implies nt=4 \times 4=16\)
The total cost to pay for parking at a state park for the day and rent a paddleboat are shown. Number of Hours Cost (5) 1 $17 2 $29 3 $41 4 $53 Part 1 Find the cost to park for a day and the hourly rate to rent a paddleboat. The cost to park for a day Is $ 5 and the hourly rate to rent a paddleboat is $ 12 Part 2 out of 2 What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Complete the explanation. The total cost to rent the boat will be hours per hour + $ friend, they will each pay $ 1+2= If she splits the cost with a
We have the following:
The total cost to rent the boat will be:
3.5 hours x $ 12 per hour + $ 5 = $ 47. If she splits the cost with a friend, they each play $ 47 / 2 = $ 23.5
There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the probability.
P(both green) HELP I NEED ANSWERS
Answer:
4/2
Step-by-step explanation:
Bella is shopping for a 60" TV. She has found the following options that she likes. Bella wants to get the best deal on her TV. Which one should she buy?
TV #1 - $899 on sale for 30% off with no sales tax
TV #1 - $899 on sale for 30% off with no sales tax
TV #2 - $999 on sale 40% off with 5% sales tax
TV #2 - $999 on sale 40% off with 5% sales tax
TV #3 - $599 with no discount and 6% sales tax
TV #3 - $599 with no discount and 6% sales tax
TV #4 - $749 on sale for 20% off with 10% sales tax
TV #4 - $749 on sale for 20% off with 10% sales tax
Answer:
TV #3
Step-by-step explanation:
The others cost more.
1.
Which is the graph of the function y = −3(2)^x?
Answer:
A
Step-by-step explanation:
y = − 3 ( 2 ) x
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y = 0 .
Horizontal Asymptote:
y = 0
For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. What is definitely true about x = 7? (1 point)
Both m(x) and p(x) cross the x-axis at 7.
Both m(x) and p(x) cross the y-axis at 7.
Both m(x) and p(x) have the same output value at x = 7.
Both m(x) and p(x) have a maximum or minimum value at x = 7.
What is true about the two functions at x = 7 is Both m(x) and p(x) have the same output value at x = 7.
What is a function?A function is a mathematical equation that shows the relationship between two variables.
For two functions, m(x) and p(x), a statement is made that m(x) = p(x) at x = 7. To determine what is definitely true about x = 7, we proceed as follows.
Let m(x) = p(x) = L at x = 7.
Since m(x) = L at x = 7 and p(x) = L at x = 7This implies that m(x) and p(x) have the same value at x = 7
So, what is true about x = 7 is Both m(x) and p(x) have the same output value at x = 7.
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what is 713.49 written in standard form?
Answer: Seven hundred thirteen point forty-nine.
Step-by-step explanation: Hope this helps ;)
What is the area of the button? Use 3.14 for π and round to the nearest tenth. The circumference of a button is 40.8 millimeters. What is the radius of the button? Use 3.14 for π and round to the nearest tenth. i need this answered quick
Answer: radius = 6.5millimeters; Area = 132.7m²
Step-by-step explanation:
The circumference of a circle = 2πr
The area of a circle = πr²
The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:
Circumference = 2πr
40.8 = 2 × 3.14 × r
40.8 = 6.28r
r = 40.8/6.28
r = 6.5
Radius is 6.5 millimeters
Area = πr²
Area = 3.14 × 6.5 × 6.5
Area = 132.7m²
Woof Chow Dog Food Company believes that it has a market share of 25 percent. It surveys n = 100 dog owners and ask whether or not Woof Chow is their regular brand of dog food, and 23 people say yes. Based upon this information, what is the critical value if the hypothesis is to be tested at the 0.05 level of significance?
The critical value for the 0.05 level of significance is k = 21.
To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.
We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.
So, we want to find the smallest k such that:
P(X <= k) >= 1 - 0.05
where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.
The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.
This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.
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a number c minus 4.3 is no less than 16. write this word sentence as an inequality.
ill give brainliest
Answer:
c - 4.3 > 16
(hope this helps)
The inequality representing a number c minus 4.3 is no less than 16 is c - 4.3 > 16.
What is inequality?The relationship between two values that are not equal is described by inequalities. Equal does not necessarily mean unequal. The "not equal symbol" is typically used to denote that two values are not equal.
As the condition is suggesting c - 4.3 is no less than 16 means it is greater than 16,
So, c - 4.3 > 16
Therefore, the inequality representing a number c minus 4.3 is no less than 16 is c - 4.3 > 16.
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The Ladybugs are coming to town for a concert. There is such excitement that the concert hall has set up six lines at the box office. Interestingly, the first line is very very long, but the second line has one person more than the first line, and the third line has one more person than the second line and so on, Each of the other line has one more person than the one before it. Altogether, there are 327 people in all six lines. How many people are in each of the six lines?
Answer:34
Step-by-step explanation:
how to graph linear standard 3x−4y=24
Graph the linear equation. 3x-4y= 24
---------------------
Let x = 0, then y = -6
Let y = 0, then x = 8
----------------------------
Plot (0,-6) and (8,0) and draw a line thru them to get:
The length of a rectangle is three times the width. The sum of the length and the width is 24 inches. What is the length of the rectangle?
Answer:
Length: 18 inches
Width: 6 inches
Step-by-step explanation:
l+w=24
l=3w w=1w
3w+w=24
w=6
Length: 3*6=18 inches
Width: 6 inches
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
Step-by-step explanation: its 32
Answer:
Step-by-step explanation:
A + B + C = 180
A = 47
B = 62
C = ???
We don't know what "C" is??
So..
A + B + C = 180
C = 180 - A - B
C = 180 - 47 - 62
Subtract those numbers and you should get 71
Soo..
C = 71
we can also add up
47 + 62 + 71 = 180
so if you get 180 when you add them up then that's your correct answer!!
YOUR WELCOME FOR THE HELP!!!!!1
A company logo is made up of a square and four identical triangles, as shown in this image
What is the area of the logo
Enter your answer in the box
Answer:
Area is 72cm²
Step-by-step explanation:
Data :
There are four triangles and a square
x = 6 cm
h = 3 cm
Formula for square
Area = A = x² = 6² = 36
All triangles has equal area
So formula used to find area is
Area = A = 1/2 bh = 1/2 × 6 × 3 = 9
For four triangles
9 × 4 = 36
Add them
36 + 36 = 72
Answer:
91
Step-by-step explanation:
the real answer is 91 its not 72 I took the test k12
How many ways are there to pick an (unordered) subset of 6 cards from a standard 52-card deck so that the subset contains at least one Ace, at least one King, at least Queen, and at least one Jack
In a standard 52-card deck, there are 20,358 ways to pick an (unordered) subset of 6 cards that contains at least one Ace, at least one King, at least one Queen, and at least one Jack.
Can you determine the number of ways to select a subset of 6 cards from a standard 52-card deck, ensuring that at least one Ace, King, Queen, and Jack are included?When selecting a subset of 6 cards from a standard 52-card deck, the main objective is to ensure that the subset contains at least one Ace, one King, one Queen, and one Jack. To calculate the number of ways this can be achieved, we can break it down into steps.
Step 1: Select one Ace, King, Queen, and Jack
There are 4 ways to choose one Ace, 4 ways to choose one King, 4 ways to choose one Queen, and 4 ways to choose one Jack.
Step 2: Select two additional cards from the remaining 48 cards
After selecting one Ace, one King, one Queen, and one Jack, we are left with 48 cards. To complete the subset of 6 cards, we need to choose two more cards from this remaining set. The number of ways to select two cards from 48 is calculated using combinations, denoted as "48 choose 2," which is equal to 1,128.
Step 3: Multiply the results
To determine the total number of ways, we multiply the results of each step. Therefore, the total number of ways to pick an (unordered) subset of 6 cards that contains at least one Ace, one King, one Queen, and one Jack is 4 * 4 * 4 * 4 * 1,128 = 20,358.
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simplify 15/32 + 9/32
Answer: 3/4
Step-by-step explanation:
15/32 + 9/32 = 24/32 = 12/16 = 6/8 = 3/4
anas deposited 20000 rupees in a bank which pays 6% interest compounded annually.how much would he get back after 3 years
Answer:
After 3 years you will get 23820.32rs.
Use a known Maclaurin series to obtain a Maclaurin series for the given function. f(x) = sin (pi x/2) Find the associated radius of convergence R.
The Maclaurin series for \(\(f(x) = \sin\left(\frac{\pi x}{2}\right)\)\) is given by:
\(\[\sin\left(\frac{\pi x}{2}\right) = \frac{\pi}{2} \left(x - \frac{\left(\pi^2 x^3\right)}{2^3 \cdot 3!} + \frac{\left(\pi^4 x^5\right)}{2^5 \cdot 5!} - \frac{\left(\pi^6 x^7\right)}{2^7 \cdot 7!} + \ldots\right).\]\)
The radius of convergence, \(\(R\)\) , for this series is infinite since the series converges for all real values of \(\(x\).\)
Therefore, the Maclaurin series for \(\(f(x) = \sin\left(\frac{\pi x}{2}\right)\)\) is:
\(\[\sin\left(\frac{\pi x}{2}\right) = \frac{\pi}{2} \left(x - \frac{\left(\pi^2 x^3\right)}{2^3 \cdot 3!} + \frac{\left(\pi^4 x^5\right)}{2^5 \cdot 5!} - \frac{\left(\pi^6 x^7\right)}{2^7 \cdot 7!} + \ldots\right)\]\)
with an associated radius of convergence \(\(R = \infty\).\)
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please help find the points
Answer:
-8, -5, -2, 1, 4
Step-by-step explanation:
x = -2
y = 3(-2) -2
= -6-2 = -8
x = -1
y = 3(-1) -2
= -3-2 = -5
x = 0
y = 3(0) -2
= 0-2 = -2
x = 1
y = 3(1) -2
= 3-2 = 1
x = 2
y = 3(2) -2
= 6-2 = 4
The bar graph shows the number of floral arrangement sales each day for one week. What percent of the sales were on Friday or Saturday? Round to the nearest hundredth of a percent.
The percent of sales happened on Friday and Saturday are respectively, 26.3% & 31.6%
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
The bar graph,
In which, Horizontal digits are representing number of shirts,
And vertical component is representing week days
The number of shirts sold on Friday = 50
The number of shirts sold on Saturday = 60
Percentage of sales on Friday = ?
Percentage of sales on Saturday = ?
Total sales = Monday + Tuesday + Wednesday + Thursday + Friday + Saturday
= 15+ 10 + 20 + 35 + 50 + 60
= 190
Percentage of sales on Friday = (50/190)x100
= 26.300 %
Percentage of sales on Saturday = (60/190)x100
= 31.600 %
Therefore, the percentage on Friday and Saturday are respectively, 26.3% & 31.6%
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find the derivative of the function. f(t) = cos2(ecos2(t))
The derivative of the function \($f(t) = \cos^2(e^{\cos^2(t)})$\) is \($\frac{d}{dt} f(t) = -2\cos(e^{\cos^2(t)}) \sin(e^{\cos^2(t)}) \cdot 2\cos(t) \sin(t) e^{\cos^2(t)}$\).
The derivative of the function \($f(t) = \cos^2(e^{\cos^2(t)})$\) can be found using the chain rule and the derivative properties of trigonometric and exponential functions.
To find the derivative of the given function, we apply the chain rule. Let's break down the function into its constituent parts and find their derivatives separately.
The outer function is \($g(t) = \cos^2(u)$\), where \($u = e^{\cos^2(t)}$\).
The derivative of g(t) can be found using the chain rule and the derivative of the cosine function:
\($\frac{d}{dt} g(t) = -2\cos(u) \sin(u) \cdot \frac{du}{dt}$\)
Now, we need to find the derivative of u with respect to t.
Let \($v = \cos^2(t)$\)
Then, \($u = e^v$\), and the derivative of u with respect to t is
\($\frac{du}{dt} = \frac{dv}{dt} \cdot e^v$\)
To find \($\frac{dv}{dt}$\), we differentiate \($v = \cos^2(t)$\) using the chain rule and the derivative of the cosine function:
\($\frac{dv}{dt} = -2\cos(t) \sin(t)$\)
Putting it all together, we have
\($\frac{d}{dt} f(t) = \frac{d}{dt} g(t) \cdot \frac{du}{dt} = -2\cos(u) \sin(u) \cdot -2\cos(t) \sin(t) e^{\cos^2(t)}$\)
Simplifying further, we get
\($\frac{d}{dt} f(t) = -2\cos(e^{\cos^2(t)}) \sin(e^{\cos^2(t)}) \cdot 2\cos(t) \sin(t) e^{\cos^2(t)}$\)
Therefore, the derivative of the function \($f(t) = \cos^2(e^{\cos^2(t)})$\) is \($\frac{d}{dt} f(t) = -2\cos(e^{\cos^2(t)}) \sin(e^{\cos^2(t)}) \cdot 2\cos(t) \sin(t) e^{\cos^2(t)}$\).
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HURRY PLEASE Find the values of a and b that make the second
expression equivalent to the first expression.
Assume that x>0 and y> 0.
126xy5
32x3
63Y5
axb
a =
b =
DONE
Answer:
A= 16 B= 2
The second part is B
Tony and Tiffany collect semi-precious stones. At the rock hound hut, Tiffany paid $38 for 9 pounds of snowflake obsidian. At the solid rock shop, tony paid $19 for 3 pounds of the same type of the stone. Who made the better buy?
Answer:
Tiffany made the better buy
Step-by-step explanation:
Based on the information provided within the question it can be said that Tiffany made the better buy in this scenario. Mainly because Tiffany paid a less amount per pound than Tony did. This can be calculated by dividing the total amount each paid by the total amount each of them received, like so...
Tiffany: $38 / 9 = $4.22 per pound
Tony: $19 / 3 = $6.33 per pound
Therefore we can see that Tiffany paid $4.22 per pound and Tony paid $6.33 per pound a whole $2.11 more than Tiffany, thus making Tiffany purchase the better buy.
30% of the 250 students play a sport. How many students play a sport?
250 students play sports, or 30% of them. 75 students play a game.
According to the dictionary's definition of sport, it is any game, competition, or activity, whether it be indoors or outdoors, that requires physical effort and skill and is often conducted in accordance with rules. Sports are physical activity that is both enjoyable and'masti. Sports are physical activity and exercise with a goal in mind. Sports are physical activity and exercise that have a competitive element. Sports provide a safe and healthy method to let stress and anxiety out.
Based on the given conditions, formulate:
30%*250
Calculate: 0.3*250=75
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c. Are 2b + b and 3b equivalent expressions
Answer: Yes
Step-by-step explanation:
Imagine you have b = 2.
Plug 2 into the equation 2b + b = 3b
You get: 2(2) + 2 = 3(2)
Which solves to be 6 = 6
As long as the variable is the same, in this case b, and they are to the same power, in this case ^1, you can combine them.
Answer:
The answer is No they are not equvalient expression
Step-by-step explanation:
please mark as brailist
is the statement below true or false? continuous is the type of quantitative data that is the result of measuring.
Answer:
it is true
Step-by-step explanation:
Please help, no links. PLEASE!!!!
There is a thousand answer to this problem.
Let's do the simplest one here.
f(x) or y = x - 1
f(x) or y = x + 1
f(x) or y = -x
Wait, would this count as a solution? : See the second attachment
69 =7f
What is the value of f?
In the hexadecimal numbering system, the number 69 is equivalent to the decimal number 105. The value of f is therefore calculated by subtracting 105 from 127, which is the largest possible value in one byte of data. Therefore, the value of f is 22 (127 - 105 = 22).
In summary, 69 is a hexadecimal representation of the decimal number 105, and f is the difference between 127 (the maximum value in one byte of data) and 105. Understanding hexadecimal and binary numbering systems is essential in the field of computer science and programming.
To find the value of "f" in the equation 69 = 7f, follow these steps:
Step 1: Identify the given equation, which is 69 = 7f.
Step 2: Notice that you need to find the value of "f" and the equation shows that it is multiplied by 7.
Step 3: To isolate "f" and find its value, you need to perform the inverse operation, which in this case is division.
Step 4: Divide both sides of the equation by 7: (69 = 7f) / 7.
Step 5: Perform the division: 69 / 7 = 7f / 7.
Step 6: Simplify the equation: 9.857 = f.
So, the value of "f" is approximately 9.857.
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