What is the missing angle of the blue triangle using A^2 + B^2 = C^2

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

\(P(t) = P(0)(1+r)^t\)

Growth rato parameter of 48% per hour

This means that \(r = 0.48\). So

\(P(t) = P(0)(1+r)^t\)

\(P(t) = P(0)(1+0.48)^t\)

\(P(t) = P(0)(1.48)^t\)

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

\(P(t) = P(0)(1.48)^t\)

\(2P(0) = P(0)(1.48)^t\)

\((1.48)^t = 2\)

\(\log{(1.48)^t} = \log{2}\)

\(t\log{1.48} = \log{2}\)

\(t = \frac{\log{2}}{\log{1.48}}\)

\(t = 1.77\)

It takes 1.77 hours for the population to double.

Answer: 0.50b + 1.50p ≤ 9

Hope this helped =)

Answer:

22

Step-by-step explanation:

Answer & Step-by-step explanation:

Divide how much he wants to earn by how much he earns per hour:

132/6.25 = 21.12

He needs to work 21.12 hours to earn $132.

Answer:

Cost: $247

Discount: $133

Step-by-step explanation:

Simply multiply 380 and 35% off together to get your answer:

380(1 - 0.35)

380(0.65)

247

To find the discount amount, simply subtract the 2 numbers to get your answer:

380 - 247 = 133

Answer:

The number of adults tickets and student tickets purchased is 5 and 3.

Given that,

Tickets to a movie cost $7.25 for adults and $5.50 for students.

A group of friends purchased 8 tickets for $52.75.

Here we assume the no of adult tickets and no of student tickets be x and y.

Based on the above information, the calculation is as follows:

7.25x + 5.50y = 52.75 .............(i)

x + y = 8

x = 8 - y..................(2)

Now put the x value in the equation (1)

So,  

7.25(8-y) + 5.50y = 52.75

7.25 × 8 - 7.25y + 5.50y = 52.75

58 - 1.75y = 52.75

5.25 = 1.75y

y = 3

So,  

x = 8 - 3

= 5

Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.

-Hope this helps<3

The ordered pairs for the equation y = -7x + 8 are (0, 8), (1, 1), and (-1, 15).

To find ordered pairs for the equation y = -7x + 8, we can substitute different values of x and solve for y.

Let's choose three values of x:

When x = 0, y = -7(0) + 8 = 8. So one ordered pair is (0, 8).

When x = 1, y = -7(1) + 8 = 1. So another ordered pair is (1, 1).

When x = -1, y = -7(-1) + 8 = 15. So another ordered pair is (-1, 15).

Therefore, the ordered pairs  are (0, 8), (1, 1), and (-1, 15).

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Answer:

they said each pizza

Step-by-step explanation:

that means it isn't only one pizza but maybe a ton of them

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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By answering the presented question, we may conclude that As a result, the slope of \(y_3\) = -4(x - 5) is -4.

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x).

The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b.

The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).

The above equation is in point-slope form: y - \(y_1\)= m(x - \(x_1\)), where (\(x_1\), \(y_1\)) is a point on the line and m is the slope.

We can see by comparing the provided equation to the point-slope form that \(x_{1} ,y_1\)) = (5, 3) and m = -4.

As a result, the slope of \(y_3\) = -4(x - 5) is -4.

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Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

​

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

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Answer:

f = 4

Step-by-step explanation:

60= 15f

divide both side by 15

f = 4

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Any square-free integer can be expressed as the product of a square-free integer (which has no square  factors) and a perfect square (which has only square factors). This product is unique for any given square-free integer.

Any square-free integer can be expressed as the product of a square-free integer and a perfect square. This is because a square-free integer has no square factors, so the product of a square-free integer and a perfect square would have only square factors, and thus be square-free. To show that this product is unique for any given square-free integer, we can use the fact that any integer can be expressed as the product of its prime factors and that a square-free integer has no square factors. This means the prime factors of the square-free integer are all distinct, and thus the product of the square-free integer and the perfect square can be expressed as the product of the prime factors of the square-free integer and the prime factors of the perfect square. Since the prime factors of the perfect square are all the same, the product is uniquely determined by the prime factors of the square-free integer. Thus, the product of a square-free integer and a perfect square is unique for any given square-free integer.

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Answer:

x>9

Step-by-step explanation:

3x+2−2>29−2

3x>27

divide by 3

3x/3>27/3

9514 1404 393

Answer:

  $263.20

Step-by-step explanation:

The number not sold was ...

  620 -430 = 190

The cost for a container not sold was ...

  $0.78 -0.40 = $0.38

__

The cost of containers sold was ...

  $0.78 × 430 = $335.40

The cost of containers not sold was ...

  $0.38 × 190 = $72.20

The total cost for the 620 containers of milk was ...

  $335.40 +72.20 = $407.60

The total revenue from the 430 containers sold was ...

  $1.56 × 430 = $670.80

Then the profit was ...

  profit = revenue - cost

  profit = $670.80 -407.60 = $263.20

_____

Additional comment

The calculation can be simplified to ...

  $1.16 × (number sold) - $0.38 × (number bought)

Answer:

the function is both even and old

Step-by-step explanation:

after solving this is answer which i provided

Using PEMDAS and substituting 6 for x, the results of the mathematical operations are as follows:

PEMDAS is the order of mathematical operations that explains the correct sequential steps for evaluating mathematical expressions.

PEMDAS means that mathematical operations must follow the following order:

1) 9. x - 6 ( if x = 6)

= 9 x 6 - 6

= 54 - 6

= 48

2) 10. 7 + x ( if x = 6)

= 10 x 7 + 6

= 70 + 6

= 76

3) 11. 3x - 9 ( if x = 6)

= 11 x 3(6) - 9

= 11 x 18 - 9

= 198 - 9

= 189

4) 12. 63/x ( if x = 6)

= 12 x 63/6

= 126

5) 13. 5 + 5x + 10 ( if x = 6)

= 13 x 5 + 5(6) + 10

= 65 + 30 + 10

= 105

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Step-by-step explanation:

7! = 5040 ways

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

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While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

Answer:

240

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

6=|x|+3-x

move the terms

-|x|+x=3-6

-|x|+x=-3

-x+x=-3 , x > 0 (put a line under >)

-(-x)+x=-3 , x < 0

-3/2 , x < 0 find the intersection

x= -3/2

if you dont want it as a fraction you can do -1.5 in decimal form

Answer:

195007196

Step-by-step explanation:

Answer:195007196

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The unit of measurement that would typically be used to weigh an elephant is the ton. Elephants are very large animals, and they can weigh several tons, depending on their species and size. While other units of measurement like pounds, kilograms, or ounces could also be used to measure the weight of an elephant, the ton is the most appropriate unit for such a large animal.

Answer:

Step-by-step explanation:

2 x + 4 y = 1 has the simultaneous equation \(x=\frac{1-4 y}{2}\) .Eliminate a variable by using the elimination procedure.

for x, solve, \(2 x+4 y=1 \quad: \quad x=\frac{1-4 y}{2}\)

2 x + 4 y=1

4 y in the correct direction

2 x = 1 - 4 y

multiply both sides by two.

\(\frac{2 x}{2}=\frac{1}{2}-\frac{4 y}{2}\)

Simplify

\(x=\frac{1-4 y}{2}\)

You can find answers to both unknowns in two separate equations that have the same two unknowns in each. The three most popular approaches to solving are addition/subtraction, substitution, and graphing. simultaneous problems Equations: Elimination, Substitution, Graphical, and Matrix Methods | Vivax Solutions.

Steps for Solving Multiple Equations at Once Using the Elimination Method. Selecting a variable to remove is step one. Find the LCM of the variable's coefficients in step two. Step 3: Multiply the equations' two sides to create the coefficient of the variable you want to remove from the LCM.

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to find x, we can use trigonometric ratios because the triangle is right(an angle of 90°)

I will use tangent

where alpha is the angle, O the opposite side from the angle, and A the adjacet side from the angle different to the hypotenuse

so replacing

now, solve x

and calculate

the distance is 115.43 meters

The factorized expression of x = a²b² + 2a + a⁴ is x = a(ab² + 2 + a³)

The expression is given as:

x = a²b² + 2a + a⁴

Factor out a from the expression

x = a(ab² + 2 + a³)

The above expression cannot be further factorized.

Hence, the factorized expression of x = a²b² + 2a + a⁴ is x = a(ab² + 2 + a³)

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