The minimum temperature of mercury is approximately -275 F.The minimum temperature of Mars is approximately -195 F.Which is the following best compares the minimum temperature of two planets?

A. -195 > -275
B. -275 > -195
C. -195 > -275
D. -275 < -195

The range of the absolute value function y = |x| is all non-negative numbers, which can be expressed as [0, ∞).

The absolute value function is a type of mathematical function that measures the distance between a given number and zero. It is denoted by two vertical bars surrounding the number or expression.

The range of the absolute value function is the set of all non-negative numbers. This is because the absolute value of any number is always a positive number or zero.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.This means that the output of the function can never be negative and can range from zero to infinity.

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The range of the absolute value function below is C. f(x) < 1.

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.

The range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}.

The function y=|ax+b| is defined for all real numbers. So, the domain of the absolute value function is the set of all real numbers. The absolute value of a number always results in a non-negative value.

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What is the range of the absolute value function below?

f(x) > -4

f(x) > -1

f(x) < 1

f(x) < 4

Answer: ±3.60555

.

Step-by-step explanation:

The square root of 13 is expressed as √ 13 in the radical form and as 13½ in the exponent form. The square root of 13 rounded to 5 decimal places is ±3.60555.

From the sample used to find out what psychology majors would join the club and if it is biased, we can say that;

- Yes, the sampling method is biased.

- The likely direction of the bias is because you only asked 5 people which

is  not a significant percentage of those offering psychology majors and as

such the 4 out of 5 gotten is likely going to be an over estimation of those

who are willing to pay to join this club.

We are told that;

Therefore, this would lead to sampling bias and thus the sample is biased.

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The completed table of the functions and inverses can be presented as follows;

1. t(x) → a(x)

2. Q(x) → B(x)

3. G(x) → c(x)

4. f(x) → D(x)

5. y(x) → w(x)

6. e(x) → R(x)

7. U(x) → H(x)

8. P(x) → J(x)

9. m(x) → k(x)

10. S(x) → n(x)

Making x the subject of the given functions to find the inverse gives;

1. a(x) = 2•(x - 6)

Therefore;

x = (a(x)/2) + 6

t(x) = (x/2) + 6

Therefore;

2. G(x) = (1/4)•x²

4•G(x) = x²

x = 2•√(G(x))

3. B(x) = √(x)/4

4•B(x) = √(x)

x = 16•(B(x))²

Q(x) = 16•x²

Therefore;

4. D(x) = (x + 6)/2

x = 2•D(x) - 6

f(x) = 2•x - 6

Therefore;

5. y(x) = (4•x + 2)²

(√(y(x)) - 2)/4 = 4•x

w(x) = (√(x) - 2)/4

Therefore;

6. R(x) = (1/4)•(4•x)²

x = √(4•R(x))/4 = √(R(x))/2

e(x) = √(x)/2

Therefore;

7. H(x) = 2•x + 6

(H(x) - 6)/2 = H(x)/2 - 3

x = H(x)/2 - 3

U(x) = x/2 - 3

Therefore;

8. J(x) = (√(x + 2))/4

x = (4•J(x))² - 2

P(x) = (4•x)² - 2

Therefore;

9. k(x) = x/4 + 3

x = 4•(k(x) - 3) = 4•k(x) - 12

m(x) = 4•x - 12

Therefore;

10. n(x) = 4•(x + 3)

x = n(x)/4 - 3

S(x) = x/4 - 3

Therefore;

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Answer:

10 dollars

Step-by-step explanation:

5 + 5

Answer:

19) x=4

20) x=7

21) x=15.5

22) x= -7

23) x=9

24) x=5

25) x=-6 (Im pretty sure)

26)x=4

27)x=10

28) x=-9

Step-by-step explanation:

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

1+1 is cannot be

Step-by-step explanation:

jajauajhwhahwwhhahwhauwu

Answer:

I dON"t know how to do this

Step-by-step explanation:

what is scientfic nhotation i will not round my anwer to on decimla place bye bye

This is about simultaneous equations.

p = s has been proved below.

p + q = 25  - - - (eq 1)

r + s = 25 - - - (eq 2)

q = r - - - (eq 3)

p + r = 25 - - -(eq 4)

(p + r) - (r + s) = 25 - 25

p + r - r - s = 0

p - s = 0

p = s

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

8 hours and 31 minutes per day

Step-by-step explanation:

\(\implies 42 \text{hours} \times 60\text{minutes}=2,250 \text{minutes}\)

\(\implies2,520 +35 = 2,555\)

\(\implies 2,555 /5 = 511\)

\(\implies 511/60 = 8 \frac{31}{60} = 8\text{hours}, 31 \text{minutes per day}\)

Answer:

8 hours and 31 minutes

Step-by-step explanation:

To get an average, you take the total time and divide it by the total days. Here, it would be 42 hours and 35 minutes divided by 5 days. You can convert the hours to minutes, and get 42x60=2520 plus the 35 minutes to get 2555 minutes. Divise that by 5 and you get 511 minutes per day. Since they're asking for hours and minutes, divide 511 by 60 to get 511÷60=8 with remainder 31.

The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

25000

Step-by-step explanation:

Answer:

the sigma quality level is 8.33

Step-by-step explanation:

given the data in the question;

Target of a delivery process = 5 hours plus or minus one hour i.e 5 ± 1

standard deviation of the process σ = 0.24 hours.

so,

The Lower Limit \(L_L\) of the target will be;

\(L_L\) = 5 hours - 1 hours = 4 hours

And the Upper Limit \(U_L\) of the target will be;

\(U_L\) = 5 hours + 1 hours = 6 hours

sigma quality level = ?

Now, to get the sigma quality level, we use the following expression;

sigma quality level = ( Upper Limit \(U_L\) of the target - Lower Limit \(L_L\) of the target ) / standard deviation of the process

sigma quality level = ( \(U_L\) - \(L_L\) ) / σ

so we substitute in our values

sigma quality level = ( 6 - 4 ) / 0.24

sigma quality level = 2 / 0.24

sigma quality level = 8.33

Therefore, the sigma quality level is 8.33

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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Answer:

12 because it is repeat which means multiple kindergarteners have a size 12 shoe

Step-by-step explanation:

The discrete data is (b) while the continuous data are (a) and (d)

These are data that can be represented using positive whole numbers.

Using the above definition as a guide, the discrete data is (b) The number of books in your apartment

These are data that can be represented using decimal numbers.

Using the above definition as a guide, the continuous data are (a) The weight of cows  and (d) The ounces of water that you drink each day

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Answer:

The 16 percent of the goldfish are smaller from 1.25 inches.

Step-by-step explanation:

Let X denote the size of a particular goldfish.

It is provided that the mean size is, μ = 1.5 inches and standard deviation of the size is, σ = 0.25 inches.

Assume that X is normally distributed.

Compute the size of a goldfish such that only 16 percent of the goldfish are smaller from such size as follows:

P (X < x) = 0.16

⇒ P (Z < z) = 0.16

The z-value for such a probability is:

z = -0.99

*Use a z-table.

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\-0.99=\frac{x-1.5}{0.25}\\\\x=1.5-(0.99\times 0.25)\\\\x=1.2525\\\\x\approx 1.25\)

Thus, the 16 percent of the goldfish are smaller from 1.25 inches.

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

36.21 minutes

Step-by-step explanation:

To determine how long a person must walk at a speed of 4 mph to use at least 210 calories, we need to divide the number of calories needed by the number of calories used per minute.

First, let's convert the weight of the person to kilograms by dividing it by 2.2: 150 pounds / 2.2 pounds/kilogram = 68.18 kilograms

Now, let's convert the speed of the person from mph to m/s by dividing it by 2.23694: 4 mph / 2.23694 mph/m/s = 1.78 m/s

Next, let's use the formula for the metabolic rate (R) of a person walking to calculate the number of calories used per minute: R = 0.0273 x M x V + 3.91, where M is the person's weight in kilograms and V is their speed in m/s.

Plugging in the values we have calculated above, we get: R = 0.0273 x 68.18 x 1.78 + 3.91 = 5.8 calories/minute

Finally, we can divide the number of calories needed (210 calories) by the number of calories used per minute (5.8 calories/minute) to find the number of minutes required: 210 calories / 5.8 calories/minute = 36.21 minutes

Therefore, a person walking at a speed of 4 mph must walk for approximately 36.21 minutes to use at least 210 calories.

We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.

If there is 6 grams of solid at time t, then f(t) = 6 g.

To estimate the amount of solid 1 second later, we can use the derivative formula:

f'(t) = −2f(t)(5+ f(t))

We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.

To do this, we can use Euler's method, which is an approximation method for solving differential equations.

Euler's method uses the formula:

f(t+1) ≈ f(t) + f'(t)Δt

where Δt is the time step (in minutes).

Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.

Plugging in the values for f(t) and f'(t), we get:

f(t+1) ≈ f(t) + f'(t)Δt

f(t+1) ≈ 6 - 2(6)(5+6)

f(t+1) ≈ -66

Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.

It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.

or maybe im just bad at maths

Answer:

-2x + 12

Step-by-step explanation:

If we call our other expression y, we can set up an equation tying together 3x + 5, y, and 5x - 7:

\((5x-7)+y=3x+5\)

Solving for y by subtracting 5x - 7 from both sides will get us the expression we're looking for:

\(y=3x+5-(5x-7)\\y=3x+5-5x+7\\y=-2x+12\)

So the other expression in the sum is -2x + 12.

Answer:

The answer is a= fc-bd+be/c(d-e).

Step-by-step explanation:

Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

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Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

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The total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

Given:

Court lines are 50 mm wide.

Court paint covers 7 m² per litre of paint.

The centre circle is a complete circle, so the circumference is given by the formula: Circumference = 2πr

Radius of the entire circle = 9 m / 2 = 4.5 m

Radius of the centre circle = 4.5 m - 0.05 m (converted 50 mm to meters) = 4.45 m

Circumference of the centre circle = 2π(4.45 m) = 27.94 m

Next, let's calculate the circumference of the semicircles:

The semicircles are half circles, so the circumference is given by the formula: Circumference = πr

The radius (r) of the semicircles is the same as the radius of the entire circle, which is 4.5 m.

Circumference of a semicircle = π(4.5 m) = 14.14 m

Total length = Circumference of the centre circle + 2 x Circumference of a semicircle

Total length = 27.94 m + 2(14.14 m)

Total length = 56.22 m

Therefore, the total length of the centre circle and the two goal semi circles to be repainted is 56.22 meters.

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