Answer:
61
Step-by-step explanation:
\(8=\frac{x-5}{7}\\8*7=x-5\\56=x-5\\56+5=x\\x=61\)
\(x=61\)
Step-by-step explanation:Hi there !
\(8=\frac{x-5}{7}\\ \\8*7=x-5\\\\56+5=x\\\\x=61\\\\Good~luck!\)
Find the domain and range of the function graphed below.
Answer:
Domain (-∞,∞)
Range (-∞;5)
Step-by-step explanation:
There's no restriction for the domain.
For the range, this is a quadratic function that is upside down ( coefficent of x² is negative) so this function has a maximum value at 5.
The wheel of a shopping cart that must be replaced is 3.5 inches in diameter. However, the only wheel you have is 2.75 inches in diameter. To keep the cart level, you must brace it out with a piece of metal. How much should you extend the new wheel out?
Answer:
you should extend the new wheel out by .75 cm
Step-by-step explanation:
2.75 + .75 = 3.5
From a population of size 500, a random sample of 50 items is selected. The mode of the sample a. can be larger, smaller or equal to the mode of the population. b. must be equal to the mode of population, if the sample is truly random. c. must be equal to the mean of the population, if the sample is truly random. d. must be 500.
The sample mode might be greater, smaller, or equal to the population mode. Even if the sample is genuinely random, it does not have to be equal. The sample size is 50 rather than 500.
The mode of a population or sample is the value that occurs the most frequently within the set. A sample's mode might be greater, less, or equal to the population's mode. This is due to the fact that the sample is a subset of the population and may not include the same values, even if it is genuinely random. If the population's mode is 10, the mode of a sample drawn from it may be 12. The sample mode does not have to be identical to the population mean because they are computed differently. The mode is the most common value, whereas the mean is an average. Lastly, the sample size must be 50, not 500. This is due to the fact that the sample is a subset of the population and comprises just 50 items.
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If it takes 5 bakers 5 hours to make 5 muffins. How long would it take 100 bakers to make 100 muffins?
Answer: 100 Hours
Step-by-step explanation:
We know the ratio is 1:1:1
So now the ratio is 100 times so that it will take 100 hours
Match each value or variable to its part in the expression 68h+13.
Im sorry but theres no picture or nothing I can work with!
Present the descriptive statistics of the variables total_cases
and total_deaths. Comment on the means and measures of dispersion
(standard deviation, skewness, and kurtosis) of these two
variables.
The descriptive statistics of the variables tota The mean of total_cases represents the average number of reported COVID-19 cases, while the mean of total_deaths represents the average number of reported COVID-19 deaths.
The measures of dispersion, such as standard deviation, indicate the spread or variability of the data points around the mean.
The mean of total_cases reveals the average magnitude of the spread of COVID-19 cases. A higher mean suggests a larger overall impact of the virus. The standard deviation quantifies the degree of variation in the total_cases data. A higher standard deviation indicates a wider range of reported cases, implying greater heterogeneity or inconsistency in the number of cases across different regions or time periods.
Skewness measures the asymmetry of the distribution. Positive skewness indicates a longer right tail, suggesting that there may be a few regions or time periods with exceptionally high case numbers. Kurtosis measures the shape of the distribution. Positive kurtosis indicates a distribution with heavier tails and a sharper peak, which implies the presence of outliers or extreme values in the data.
Similarly, the mean of total_deaths provides an average estimate of the severity of the COVID-19 outbreak. A higher mean indicates a greater number of deaths attributed to the virus. The standard deviation of total_deaths indicates the variability or dispersion of the death toll across different regions or time periods. Skewness and kurtosis for total_deaths provide insights into the shape and potential outliers in the distribution of death counts.
The means of total_cases and total_deaths offer average estimates of the impact and severity of COVID-19. The standard deviations indicate the variability or spread of the data, while skewness and kurtosis provide information about the shape and potential outliers in the distributions of the variables. These descriptive statistics help us understand the overall patterns and characteristics of COVID-19 cases and deaths.
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The following table shows a proportional relationship between X and Y
X Y
2 9
5 22.5
8 36
Write an equation to describe the relationship between X and Y
Find the value of z.
what’s the answer ?
Answer:
EF = 34
Step-by-step explanation:
EF + FG = EG , substitute values
17x + 3x + 7 = 18x + 11, that is
20x + 7 = 18x + 11 ( subtract 18x from both sides )
2x + 7 = 11 ( subtract 7 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus
EF = 17x = 17(2) = 34
Answer:
34
Step-by-step explanation:
g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.
EF=17x, FG= 3x+7, EG = 18x+11
17x+3x+7=18x+11
Combine like terms.
20x+7=18x+11
-7 -18x
Isolate x.
2x = 4
Divide both sides by 2.
x=2
Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.
17x = 17(2) = 34
4. Which theorem would explain why TU > SV?
Answer:
B. Hınge theoremStep-by-step explanation:
We can observe:
ST = UV, marked as equal;VT = TV, common side;m∠TVU = 45° > m∠STV = 44°, as marked.According to Hınge theorem if two sides of different triangles are equal and the angles between the two sides are different, then the larger angles has greater side opposite to it.
As TU is opposite to the larger angle, and SV is opposite to smaller angle, then TU > SV.
Correct angle choice is B.
t the beginning of an experiment; scientist has 280 grams of radioactive goo. After 75 minutes; her sample has decayed to 17.5 grams What is the half-life ofthe goo in minutes? Preview Find formula for G(t). the amount of goo remaining at time t Previen How many grams of goo will remain after mnutes _ Previen You may enter the exact value Or round to decimal places
After 75 minutes, a sample of 280 grams of radioactive goo has decayed to 17.5 grams. The half-life of the radioactive is 18.75 minutes.
The problem can be solved using decay model. The formula of decay system is given by:
Nt = No . e^(-λ . t)
Where:
Nt = quantity at time t
No = initial quantity
λ = decay constant = ln(2) / T
T = half life
The above formula can be rearranged to:
T = t . ln(2) / [ln(No/Nt)]
Parameters given in th problem:
No = 280 grams
t = 75 minutes
Nt = 17.5 grams
Plug these parameters into the formula:
T = 75 . ln(2) / [ln(280/17.5)]
= 18.75 minutes
Hence, the half-life of the radioactive goo is 18.75 minutes.
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inclusive or exclusive or? a: you must take chemistry or physics to graduate b: you can have a complimentary coffee or tea question 3 options: a is exclusive, b is inclusive both are exclusive a is inclusive, b is exclusive both are inclusive
If you have two options, A and B, exclusive means only one option is required (A or B) while inclusive means both options are available (A and B).
To calculate the answer to this question, we need to consider what the words “exclusive” and “inclusive” mean. Exclusive means that one option is required and the other is not, while inclusive means that both options are available. In the case of the question a, the answer is exclusive because you must take either chemistry or physics to graduate. In the case of question b, the answer is inclusive because you can have either a complimentary coffee or tea.
To illustrate the difference between exclusive and inclusive with a formula, we can use the following:
Exclusive: A + B = A
Inclusive: A + B = A + B
This formula demonstrates that if you have two options, A and B, exclusive means only one option is required (A or B) while inclusive means both options are available (A and B).
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how many times do 6x-4y=2 and -2y+3x=1
Answer:
Infinite Solutions
Step-by-step explanation:
If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.
Best of Luck!
7+5-3*2(6*7)/4
• convert the above specified infix expression into
postfix expression
• Evaluate the resulted postfix expression
• convert the specified infix expression into prefix
expres
The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".
To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.
The postfix expression for the given infix expression is:
"7 5 + 3 2 * 6 7 * 2 * - 4 /"
To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.
Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.
We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.
To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.
The prefix expression for the given infix expression is:
"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"
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Helppp points and brainlest
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
Question 1
the formula for finding the area of a trapezoid is A= 1/2(b1+b2)h where A represents the area of the trapezoid, b1 and b2 are bases, and h represents the height. Solve the formula for h.
WILL MAKE YOU BRAINLIEST IF YOU ANSWER FIRST AND HAS THE RIGHT ANSWER!!!
Answer:
\( \frac{2a}{(b1 + b2)} \)
Step-by-step explanation:
A = 1/2(B1 + B2)h
2A = (B1 + B2)h
h = 2A/(B1 + B2)
Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (if the quantity diverges, enter diverges. ) [infinity] 0 1 6 1 x dx
a. Convergent
b. Divergent
The integral ∫[0,6] 1/x dx is divergent, An integral is said to be divergent if it does not have a finite value.
The given integral is:
\(∫[0,6] 1/x dx\)
We know that the integral of 1/x is ln(x), and the antiderivative of ln(x) is xln(x) - x.
So, applying the limits of integration, we get:
\(∫[0,6] 1/x dx = ln(x)|[0,6] = ln(6) - ln(0)\)
The natural logarithm of zero is unclear, so the indispensably isn't characterized at x = 0. In this manner, the indispensability is unique.
An integral is said to be divergent in the event that it does not have limited esteem. In other words, on the off chance that the fundamentally does not meet a genuine number, it is said to be unique.
There are a few reasons why a fundamentally may be unique. A few common reasons incorporate:
The integrand gets to be unbounded at a few points inside the limits of integration.
The integrand does not approach zero as the constraint of integration approaches boundlessness.
The limits of integration are interminable, and the integrand does not merge to a limited esteem as the limits approach interminability.
When an indispensably is disparate, it implies that the zone beneath the bend is interminable or does not exist.
This could have imperative suggestions in ranges such as material science and designing, where integrands are utilized to calculate amounts such as work, energy, and a liquid stream.
Thus, the answer is (b) Divergent.
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Help me please :((((
Answer:
y= -x+5
Step-by-step explanation:
We can see that everytime x increases by 1 y decreases by 1
therefore the slope is -1
to solve for b, or the y intecept, plug in a coordinate
(1,4) for example
4= -1*1+b
4= -1+b
b=5
Therefore the equation is
y= -x+5
Answer:
y= -x+5
-x because x increases by 1 and y decreases by 1
-1/1 = -1
-1x+b = y
b is y intercept. when x is 0, is the y intercept. in the table x = 1 for the first row. subtract 1 from that value and add 1 to the y value. you get the y intercept, 5. so, y= -x + 5
Step-by-step explanation:
marcel plugged in his work tablet and phone. the phone had a battery charge of 13% and started increasing by 2 percentage points every 3 minutes. the tablet had charge of 25% and started increasing by 1 percentage point every 3 minutes.
Let t represent the time, in minutes, since Marcel plugged in the phone and tablet.
Complete the inequality to represent the times when the phone would have at least as much battery charge as the tablet
Answer:
t ≥ 36
Step-by-step explanation:
took a while but i had to try a lot of the numbers. hope it helped, mark me brainleist.
The inequality to represent the times when the phone would have at least as much battery charge as the tablet is t ≥ 36.
We know that t is the time, in minutes, since Marcel plugged in the phone and the tablet.
For phone:-
Initial battery charge = 13%.
Rate of charging = 2% points in 3 minutes = 2/3 % in 1 minute.
Thus, the total charge on the phone after t minutes = 13% + t(2/3)%.
For tablet:-
Initial battery charge = 25%.
Rate of charging = 1% points in 3 minutes = 1/3 % in 1 minute.
Thus, the total charge on the tablet after t minutes = 25% + t(1/3)%.
We are asked to complete the inequality to represent the times when the phone would have at least as much battery charge as the tablet.
Since the phone is required to have at least as much battery charge as the tablet, we can show this as:
The total charge on the phone after t minutes ≥ The total charge on the tablet after t minutes,
or, 13% + t(2/3)% ≥ 25% + t(1/3)%,
or, t(2/3)% - t(1/3)% ≥ 25% - 13%,
or, t(1/3)% ≥ 12%,
or, t ≥ 12%/(1/3)%,
or, t ≥ 36.
Thus, the inequality to represent the times when the phone would have at least as much battery charge as the tablet is t ≥ 36.
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Given the following prices, explain why brand b is the better buy. (hint: 16 ounces = 1 pound and 1 pound = 453. 59 grams) brand a: 54 ounces for $4. 89 brand b: pounds for $3. 91 brand c: 910 grams for $3. 10.
Brand B is the better buy because it offers the most ounces for the lowest price.
To compare the prices of the three brands, we need to convert them to a common unit of measurement. Brand A is priced at $4.89 for 54 ounces, Brand B is priced at $3.91 for 16 ounces, and Brand C is priced at $3.10 for 910 grams. Since 16 ounces is equivalent to 1 pound and 1 pound is equivalent to 453.59 grams, we can convert the weight of Brand B and C to ounces. 910 grams is equivalent to 2.01 pounds, which is equivalent to 32.16 ounces.
A.
54oz, convert to lb
54/16=3.375lb
find per lb
4.89/3.375=$1.4488888 per lb
B.
2 and 3/4=2.75, 3.91/2.75=$1.42181 per lb
C. 910/453.59=2.00621lb
3.10/2.00621=$1.545 per lb
compare
A: $1.4488888 per lb
B: $1.42181 per lb
C: $1.545 per lb
It is observed from the above calculation that Brand B have lowest price per unit on ounce.
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Sally and anne went to the movies. they each purchased a drink. they also bought one popcorn and one veggie cup to share. each woman’ total is modeled with this expression: 9 1.34 1 2 (3.50 1.74) how would you simplify the expression? explain your steps.
Using the order of operations, the expression can be simplified as
9 + 1.34 + 62.88 = 73.22
The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.
Remember PEMDAS when simplifying multi-step expressions, i.e.:
P (Parentheses)
E (Exponents, Powers and Square Roots)
MD (Multiplication and Division, left-to-right)
AS (Addition and Subtraction, left-to-right)
The expression given in the problem is: 9 + 1.34 + 1 2 (3.50 +1.74)
Apply the above operation order:
Step 1: solve the addition inside the parenthesis
9 + 1.34 + 1 2 (3.50 +1.74) = 9 + 1.34 + 1 2 (5.24)
Step 2: Multiply the result by 12
9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88
Step 3: Apply addition from left to right
9 + 1.34 + 62.88 = 73.22
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1-14. Assuming a contribution margin of 60 percent, what sales would be necessary to break even (that is, maintain the current total contribution) on the 12 percent across-the-board price reduction? Refer to Financial Analysis of Marketing Tactics: Price Decrease in Appendix 2: Marketing by the Numbers to learn how to perform this analysis. (AACSB: Oral and Written Communication; Analytic Reasoning)
The specific sales amount necessary to break even cannot be determined without knowing the fixed costs.
To calculate the sales necessary to break even, we need to consider the contribution margin and the impact of a 12% across-the-board price reduction. The contribution margin is the percentage of each sale that contributes to covering fixed costs and generating profits. In this case, assuming a contribution margin of 60%, it means that 60% of each sale contributes towards covering fixed costs. However, without knowing the fixed costs, it is not possible to calculate the specific sales amount required to break even. Fixed costs play a crucial role in determining the break-even point.
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a committee of 4 people is chosen from 6 women and 6 men. how many different committees are possible that consist of 2 women and 2 men?
A total of 900 committees are possible that consist of 2 women and 2 men.
To find how many different committees are possible we have to use the concept of multiplication in permutation.
The Multiplication Principle states that if an event can happen in m different ways and a second event can happen in n different ways after the first has happened, then the two events can happen in m*n different ways. This is also referred to as the Basic Counting Principle.
We have a total of 6 women and 6 men.
We have to form a committee of 4 people that consists of 2 women and 2 men.
2 men from 6 men = 6C2
2 women from 6 women = 6C2
combining both with the multiplication principle.
6C2*6C2 = 30*30 = 900.
A total of 900 committees are possible.
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Some help NEEDED
Please help if you can
Answer:
-1957.2 I think,but if it is not ,forgive me
flying with the wind, a small plane flew 338 mi in 2 h. flying against the wind, the plane could fly only 312 mi in the same amount of time. find the rate of the plane in calm air and the rate of the wind.
Flying with the wind, a small plane flew 338 mi in 2 h. flying against the wind, the plane could fly only 312 mi in the same amount of time. So, the rate of the plane in calm air is 162.5 mph, and the rate of the wind is 6.5 mph.
Let's use variables to represent the unknowns in this problem:
- Let p represent the rate of the plane in calm air (in miles per hour).
- Let w represent the rate of the wind (in miles per hour).
When the plane is flying with the wind, the combined speed (plane + wind) is (p + w) mph. It flies 338 miles in 2 hours, so we have:
1. (p + w) * 2 = 338
When flying against the wind, the net speed (plane - wind) is (p - w) mph. It flies 312 miles in 2 hours, so we have:
2. (p - w) * 2 = 312
Now, we'll solve the two equations simultaneously. First, divide both sides of each equation by 2:
1. p + w = 169
2. p - w = 156
Next, add the two equations together to eliminate the w variable:
(p + w) + (p - w) = 169 + 156
2p = 325
Now, divide by 2 to find the rate of the plane in calm air:
p = 325 / 2
p = 162.5 mph
Now that we have the rate of the plane, we can find the rate of the wind by substituting the value of p back into either equation 1 or 2. Let's use equation 1:
162.5 + w = 169
Subtract 162.5 from both sides to find w:
w = 169 - 162.5
w = 6.5 mph
So, the rate of the plane in calm air is 162.5 mph, and the rate of the wind is 6.5 mph.
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Reflexive Property; Transitive Property Reflexive Property; GivenGiven; Reflexive PropertyTransitive Property; Reflexive Property
Explanation
In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.
From the given question
\(UW\text{ is congruent to UW \lparen Reflexive property\rparen}\)Also
Therefore, the answer is Reflexive Property; Given
Lisa paid $44. 23 for 15. 1 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?
The cost per gallon of gasoline is given as follows:
$2.93.
How to obtain the cost per gallon?The cost per gallon of gasoline is obtained applying the proportions in the context of the problem.
The parameters for this problem are given as follows:
Total cost of $44.23.15.1 gallons of gasoline.Hence the cost per gallon of gasoline is given as follows:
44.25/15.1 = $2.93.
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if the product of 2 identical numbers is 441 find one of the numbers
full process please
Answer:
21
Step-by-step explanation:
let n be the identical number, then
n² = 441 ( take the square root of both sides )
n = \(\sqrt{441}\) = 21
The the identical numbers are 21
The average annual tuition for four-year private colleges increased by 5.9 percent from last year. The average cost last year was $31,250. What is the average cost this year?
Answer:
The average cost this year = $33,093.75
Step-by-step explanation:
The computation of the average cost this year is shown below:
Given that
The average cost for the last year = $31,250
Increased percentage = 5.9%
Based on the above information, the average cost this year is
= The average cost for the last year × (1 + Increased percentage)
= $31,250 × (1 + 0.059)
= $31,250 × 1.059
= $33,093.75