two times a number is four times that number minus a negative eighteen

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

The missing numerator is 2

Step-by-step explanation:

Assign "x" to the numerator sought:

\(\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}\)

\(\frac{14x+91}{98} =\frac{14+3}{14}\)

\(14x+91=98(\frac{17}{14} )\)

\(14x=\frac{1666}{14} -91\)

\(14x=119-91\)

\(x=\frac{28}{14}\)

\(x=2\)

Hope this helps

Answer:

Step-by-step explanation:

d  = 125   {corresponding angles are equal}

e + 125 = 180   {linear pair}

e = 180 - 125

e = 55

f = e   {Vertically opposite angles}

f = 55

c = f   {corresponding angles are equal}

c = 55

a = c  {Vertically opposite angles}

a = 55

b =d   {Vertically opposite angles}

b =  125

Answer:

a = 55°

b = 125°

c = 55°

d = 125°

e = 55°

f = 55°

Step-by-step explanation:

125 + e = 180

e = 180 - 125

e= 55°

e = f = 55°

f = a (being alternate angles)

a = c( being vertically opposite angles)

d = 125°(being corresponding angles)

d = b (being vertically opposite angles)

Triangles and squares are both shapes. A triangle has three sides. A square has four sides.

A triangle is a polygon with three sides and three angles. It is one of the basic shapes in geometry. A triangle is also a strong shape, which is why it is used in construction and engineering. Triangles can be classified by their angles and sides. Acute triangles have angles that are all less than 90°, right triangles have one angle that is 90°, and obtuse triangles have one angle that is greater than 90°. Triangles can also be classified by their sides, such as equilateral triangles, which have all three sides equal, isosceles triangles, which have two sides equal, and scalene triangles, which have all three sides different.

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Answer:

the answer is 32 when simplified.

Step-by-step explanation:

the answer is: D

Answer:

if you simplify it the answer will be

Step-by-step explanation:

D. 32

The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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Answer: Hope this helps ;)

Step-by-step explanation:

The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.

First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):

(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242

We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.

Using a calculator, we find that the probability is 0.3389.

Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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The number of three digit number formed are-

For the given question;

The three digit number is to be formed.

The digits are given as-  1,2,6,7,8

Case 1: Repetition allowed

The number of combination will be;

= 5×5×5

= 125

Thus, the number of three digit number formed with repetition is 125.

Case 2: Repetition not allowed

The number of combination will be;

= 5×4×3

= 60

Thus, the number of three digit number formed with without repetition is 125.

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The garden's perimeter = 3+2s+12+s.

The simpler version of the expression = 15+3s.

The variable's frequency in the abbreviated statement is 3.

The triangle's perimeter is equivalent to the sum of its edges, where a, b, and c are its sides.

With the information provided, the formula will become 'a = 3+2s'

and 'b' is also 12 ft.

Triangle perimeter =the total of its edges

= a + b + s                                                                    

= 3 + 2s + 12 + s

= 15 + 3s

As a result, the garden's perimeter = 3+2s+12+s.

Therefore,the simpler version of the formula is 15+3s.

The variable's coefficient in the abbreviated statement is 3.

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Answer:

5/6

Step-by-step explanation:

There are 30 total eggs

There are 30 -5 =25 not broken

P( not broken) = not broken/total

                        = 25/30

                       = 5/6

Answer:

3 GB

Step-by-step explanation:

If the cell phone plan cost $30 per month

then subtracting this amount from $60  we have

$60 - $30 = $30

it 1 GB costs $10

therefore dividing this amount with $30

we have

$30/$10 = 3

Alejandro can only afford 3GB per month.

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

The length of the chord is 21.21 inches

The given parameters are:

The chord length (L) is calculated using:

L = 2 * r * sin(x/2)

Substitute known values

L = 2 * 15 * sin(90/2)

Evaluate the expression

L = 21.21 inches

Hence, the length of the chord is 21.21 inches

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The length of the chord is 21.21 inches.

A chord is the line segment joining two points on a curve. The term is often used to describe a line segment whose ends lie on a circle.

The given parameters are:

Central angle, x = 90

Radius, r = 15 inches

The chord length (L) is calculated by:

L = 2 X r X sin(x/2)

Substitute known values

L = 2 X 15 X sin(90/2)

L = 30 X sin 45⁰

L = 30 / √2

L = 21.21 inches

Thus, the length of the chord is 21.21 inches

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Answer:

reflection across the y axis

Step-by-step explanation:

i took the flvs test

The type of transformation shown is Reflection across the y-axis, the correct option is C.

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).

We are given that;

The graph

Now,

In this case, we can see that only the x-coordinates have changed signs from positive to negative in the transformed polygon. For example, point W has coordinates (3,7) and point W’ has coordinates (-3,7). This means that a reflection across the y-axis has occurred.

Therefore, by the rigid transformations the answer will be reflection across the y-axis.

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The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;

a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹

A first order reaction is one that has a rate that varies linearly with the concentration of one reactant

The given parameters are;

Temperature of the solution = 40°C

T₁ = 40 °C + 273.15 = 313.15 K

The rate constant, K₁ = 0.00351 hr⁻¹

Concentration of the solution = 1.0 mg/ml

Activation energy, Eₐ = 2000 Cal/mol

R = 1.987 cal/mol/degree

The formula by which the rate constant can be found is presented as follows;

\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)

a. Room temperature = 25 °C

T₂ = 25 °C + 273.15 = 298.15 K

Therefore;

\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)

\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)

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Answer:

Baseball and Hockey

Step-by-step explanation:

Their medians are close and their Max/Min spread and IQR are close as well.

Basically the one you have your mouse over is the correct one.

PLEASE MARK BRAINLIEST AND GIVE A THANKS!

Have a great day <3

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

there is no info

Step-by-step explanation:

Answer:

The exponential function is

\(y = {2}^{x} \)

Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.

Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.

Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

The null and alternative hypotheses are as follows:

H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)

H a: p > 0.23 (proportion of men who own cats is larger than 23%)

The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.

Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.

To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.

Let's calculate the p-value:

p = 0.15 (proportion of men in the sample who own cats)

n = 40 (sample size)

p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)

Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.

Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.

Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.

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Answer:

b

Step-by-step explanation:

Answer:

Reflexive property

Step-by-step explanation:

The reflexive property states that any real number, a, is equal to itself. That is, a = a.

Answer:

OOk

Step-by-step explanation:

Answer: i don’t know

Step-by-step explanation:

Answer:34

Step-by-step explanation:

Answer:

5.46

Step-by-step explanation:

3.24/5.4 = y/9.1

Answer:

32

Step-by-step explanation:

In a full factorial experiment, there are usually 32 or 2⁵ treatments. This implies that there are usually  2 levels and 5 factors. From the description below, there is a list of the 32 treatments.

Factor A      Factor B      Factor C      Factor B      Factor E

lo                   hi                 hi                 hi                hi

hi                   low              hi                 hi                hi

hi                   hi                low               hi                hi

hi                   hi                 hi                 low             hi

hi                   hi                 hi                 hi               low

lo                   lo                 hi                 hi               hi

lo                   hi                 lo                 hi               hi

lo                   hi                 hi                 lo              hi

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856