One aftemoon 10 inches of snow falls in 1 1/4 hours. At this rate, how many inches of snow fall in 1 hour?
inch(es) per hour

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-8 and -12 are constants

A constant is any real number.

Hope this helps!

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7 years ago, the sum of their ages is 54 - 7 x 2 = 40

7 years ago, Alex's age was 40 : (7+1) x 7 = 35 years old (so Alex's age today is 42)

And Maria's age today is 54-42 = 12

Answer:

The answer to your problem is, C. The range is 14.

Step-by-step explanation:

The range is the difference between the maximum and minimum values of the data set.

Here, the maximum = 19 and minimum = 5

Next we can do some simple subtraction to conclude to this answer:

19 - 5 = 14

14 is our product which leads to.

Thus the answer to your problem is, C. The range is 14.

Answer:

34079 millimeters

Step-by-step explanation:

__________________________________

I assume you mean millimeters, but

All together adds up to 79 millimeter

34000 + 40 + 5 = 34079 mm

__________________________________

Hope this helped

(Edit) Sorry I didn't see meters

Answer:

15. 2

16. \(\frac{27}{16}\) or 1.6875

17. \(\frac{17}{30}\) or 0.5666666667

18. 5

19. \(\frac{35}{8}\) or 4.375

20. \(\frac{22}{5}\) or 4.4

Step-by-step explanation:

Find common denominators. Multiply then simplify (if possible).

a) Proportionately, if the budget for clothing amounted to GH 300.00, which is 20% of the monthly budget, the total income can be determined as GH  1,500.

b) The man's monthly budget will look like this:

Housing =            GH 150

Food =                GH 450

Fuel =                 GH 225

Clothing =          GH 300

Health =              GH 225

Miscellaneous = GH 150

Total income = GH 1,500

We can determine the total income of the man by equating the ratios of his clothing expense and the total income.

We understand that proportions are ratios equated to one another.

Housing = 10%

Food = 30%

Fuel = 15%

Clothing = 20%

Health = 15%

Miscellaneous = 10%

Proportionately, if the budget for clothing amounted to GH 300.00, which is 20% of the monthly budget, the total income can be determined as GH 1,500 (GH 300.00/20%).

Housing = 10%           GH 150 (GH 1,500 x 10%)

Food = 30%               GH 450 (GH 1,500 x 30%)

Fuel = 15%                 GH 225 (GH 1,500 x 15%)

Clothing = 20%         GH 300 (GH 1,500 x 20%)

Health = 15%             GH 225 (GH 1,500 x 15%)

Miscellaneous = 10% GH 150 (GH 1,500 x 10%)

Total income = GH 1,500

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A data value is considered significantly low or significantly high  if its​ z-score is less than -2 or greater than 2.

What does it mean if z-score is 2?

What does a standard deviation of 2 mean?

         deviations of the mean.

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The correct question is -

A data value is considered​ _______ if its​ z-score is less than minus−2 or greater than 2.

The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

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The solution to the given system of linear equations is x = 6 and y = -4

From the question, we are to solve the given system of equations using the elimination method

The given system of equations is

3x + 4y = 2

x + 2y = -2

Multiply the second equation by 2 and subtract the result from the first equation

2 × [ x + 2y = -2

2x + 4y = -4

Subtract from the first equation

 3x + 4y = 2

- 2x + 4y = -4

-----------------------

x = 2 -(-4)

x = 2 + 4

x = 6

Substitute the value of x into the second equation

x + 2y = -2

6 + 2y = -2

2y = -2 - 6

2y = -8

y = -8/2

y = -4

Hence, the value of x is 6 and the value of y is -4

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Answer:

b

Step-by-step explanation:

tan equal to (opposite side) /(adjacent side)

am not able to write root 3 on phone but its something like this

(a¤3)/a

in which¤3 is root 3

The derivative f'(x) of the function f(x) = (4tan x)/x is ((4x)(sec^2 x) - (4tan x))/x^2. By substituting x = 1 into the derivative expression, we can find the value of f'(1). Similarly, for the function f(x) = (4sin x)/(1 + cos x), the derivative f'(x) is (4(cos x)(1 + cos x) - 4sin x(-sin x))/(1 + cos x)^2. By substituting x = 2 into the derivative expression, we can find the value of f'(2).

For the function f(x) = (4tan x)/x,

f'(x) = ((4x)(sec^2 x) - (4tan x))/x^2

To find f'(1), we substitute x = 1 into the derivative expression:

f'(1) = ((4(1))(sec^2 1) - (4tan 1))/(1^2)

For the function f(x) = (4sin x)/(1 + cos x),

f'(x) = (4(cos x)(1 + cos x) - 4sin x(-sin x))/(1 + cos x)^2

To find f'(2), we substitute x = 2 into the derivative expression:

f'(2) = (4(cos 2)(1 + cos 2) - 4sin 2(-sin 2))/(1 + cos 2)^2

To find the derivative f'(x) of the given function, we use the quotient rule. The quotient rule states that for a function u(x)/v(x), the derivative is (u'(x)v(x) - u(x)v'(x))/v(x)^2.

For the first function, f(x) = (4tan x)/x, we differentiate the numerator and denominator separately. The derivative of tan x is sec^2 x, and the derivative of x is 1. Applying the quotient rule, we get f'(x) = ((4x)(sec^2 x) - (4tan x))/x^2.

To find f'(1), we substitute x = 1 into the derivative expression and evaluate it.

For the second function, f(x) = (4sin x)/(1 + cos x), we again differentiate the numerator and denominator separately. The derivative of sin x is cos x, and the derivative of 1 + cos x is -sin x. Applying the quotient rule, we get f'(x) = (4(cos x)(1 + cos x) - 4sin x(-sin x))/(1 + cos x)^2.

To find f'(2), we substitute x = 2 into the derivative expression and evaluate it.

Using a calculator or trigonometric identities, we can calculate the values of f'(1) and f'(2) by plugging in the respective values into the derivative expressions and performing the necessary calculations.

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Answer:

The exponential equation is y = -2×(1/2)^x

Step-by-step explanation:

Ok we have a couple things to note here:

1) The horizontal asymptote of the function is the x axis (always nice)

2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)

3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:

y=a×b^x----> -1 = (-2)(b) ------> b=1/2

Therefore, the exponential equation is y = -2×(1/2)^x

Test:

At x = 0, y= -2

At x = -1, y = (-2)*(1/2)^-1 = (-2)*2 = -4

At x=2, y = (-2)*(1/2)^2= (-2)*(1/4) = -1/2

Thus we can be quite certain that this is correct

Answer: 9.7ft

Step-by-step explanation:

Answer:

9.7

Step-by-step explanation:

8.9+9.7+18.6=37.2

37.2-27.5=9.7

Can I get Brainliest!

Answer:

5:4

Step-by-step explanation:

The ratio would be

80:64 since there are 80 cars to 64 trucks.

You can simplify by dividing everything by 16.

5:4

Step-by-step explanation:

Area of this figure = 14×11+5×2+11×2

=154+10+22

186m²

Answer:

164 sq. m.

Step-by-step explanation:

Cut the figure into 2 seperate shapes to find the area of them separately. (I cut it so that I had a 5*2 figure and a 14*11 figure)

14*11 because 16-5=11

14*11=154

5*2=10

154+10=164 sq. m.

Answer:

1/64 or 1.5625%

Step-by-step explanation:

To get to the answer shown above, we need to have a basic understanding of how probability works. Let's focus on the first part: "What is the probability that Frank is interviewed first" Since there are 8 people in the interview, that means that 8 people has to be in the denominator. Frank is one person and he represents 1/8th of the entire interviewees. So, the probability that he is chosen first is 1/8. Then, for the second part, we are also asked the probability of both frank being chosen first and Ed being chosen second. Ed is again only one person and thus has a 1/8 probability of being chosen. But, we are not done yet. We need to multiple the probabilities together because they have to happen simultaneously and in order. 1/8*1/8=1/64 or 1.5625%

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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The simplified expression is 26 - 4x.

To simplify the expression 6 - 4(x - 5), we can apply the distributive property and simplify the terms.

6 - 4(x - 5)

First, distribute -4 to the terms inside the parentheses:

6 - 4x + 20

Now, combine like terms:

(6 + 20) - 4x

Simplifying further:

26 - 4x

Therefore, the simplified expression is 26 - 4x.

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Explanation: If we already had the angle all we would need to do is to calculate sin (angle) and find the value of 0.22 on the calculator. But once we do not have the angle and we just have the result all we need to do is to calculate the arcsin of the result to find the angle as follows

Final answer: So the final answer is the letter a. about 12.7°

Based on the margin of error, an estimate of the total number of feral cat complaints for planet Purple is A. Between 1018.5 and 1361.5 complaints.

The margin of error shows the statistical difference between the actual and projected or estimated results.

The margin of error gives the difference between the upper limit and the lower limit of the sample estimate.

With the margin of error, one establishes a level of confidence or the confidence interval in the sample results.

The total number of cities on planet Purple = 4,500

Random sample size = 350 cities

Average complaints = 3.4

Margin or error = ± 0.49

Upper limit = 1,361.5 [350 x (3.4 + 0.49)]

Lower limit = 1,081.5 [350 x (3.4 - 0.49)]

Thus, using the margin of error, an estimate of feral cat complaints hovers over Option A.

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To determine the coordinates of the vertices of the reflected figure, we can use a reflection matrix that represents reflection over the x-axis. The reflection matrix is:

\(\sf\:\begin{bmatrix} 1 & 0 \\ 0 & -1 \\ \end{bmatrix} \\\)

Let's apply this reflection matrix to each vertex of the triangle RST to find the coordinates of the reflected vertices:

For vertex R(-3, 7):

\(\sf\:\begin{bmatrix} 1 & 0 \\ 0 & -1 \\ \end{bmatrix} \begin{bmatrix} -3 \\ 7 \\ \end{bmatrix} = \begin{bmatrix} -3 \\ -7 \\ \end{bmatrix} \\\)

So the reflected coordinates for vertex R are (-3, -7).

For vertex S(5, 3):

\(\sf\:\begin{bmatrix} 1 & 0 \\ 0 & -1 \\ \end{bmatrix} \begin{bmatrix} 5 \\ 3 \\ \end{bmatrix} = \begin{bmatrix} 5 \\ -3 \\ \end{bmatrix} \\\)

So the reflected coordinates for vertex S are (5, -3).

For vertex T(6, -5):

\(\sf\:\begin{bmatrix} 1 & 0 \\ 0 & -1 \\ \end{bmatrix}\begin{bmatrix} 6 \\ -5 \\ \end{bmatrix} = \begin{bmatrix} 6 \\ 5 \\ \end{bmatrix} \\\)

So the reflected coordinates for vertex T are (6, 5).

Now, let's graph the pre-image (triangle RST) and the image (reflected triangle) on the same coordinate grid:

Pre-image (Triangle RST):

Image (Reflected Triangle):

You can plot these points on a coordinate grid and connect them to form the triangles.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The base of the triangle shown is 12 millimeters

An equation is an expression that can be used to show the relationship between numbers and variables.

Given that:

b = 2A/h

For the triangle, A = 36 mm², h = 6 mm

Substituting:

b = 2(36)/6

Simplifying gives:

b = 12 mm

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The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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The scale factor of 3:11 indicates that the model of the sports car is 1/11th the size of the original car.

When a model is built to be an exact shape replica of the original but smaller, the scale factor describes the ratio of the size of the model to the size of the original. In this case, the scale factor is 3:11, which means that for every 3 units in the model's dimensions, the original car has 11 units.

Since the model is smaller, we can conclude that the model is 1/11th the size of the original car. This scaling applies to all dimensions of the car, such as length, width, and height.

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Answer:

Step-by-step explanation:

They are different numbers:

0.269 + 50.9 = 51.169

0.26 + 50.9 = 51.16

Answer:

To calculate the surface area and volume of a cylinder, we can use the following formulas:

a) Surface Area of a Cylinder:

The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.

The formula for the surface area of a cylinder is:

SA = 2πr² + 2πrh

Where:

SA = Surface Area

r = Radius of the base (half the diameter)

h = Height of the cylinder

Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.

Substituting the values into the formula, we get:

SA = 2π(8)² + 2π(8)(20)

= 2π(64) + 2π(160)

= 128π + 320π

= 448π

So, the surface area of the cylinder is 448π square yards.

b) Volume of a Cylinder:

The formula for the volume of a cylinder is:

V = πr²h

Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:

V = π(8)²(20)

= 64π(20)

= 1280π

The volume of the cylinder is 1280π cubic yards.

The length of the segment BE is 2 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

Quadrilateral ABCD is a rectangle.

BE=3x−7 and AC=8x−20.

E is the intersection point of the diagonals.

So,

AC/2 = BE

(8x−20)/2 = 3x−7

4x - 10 = 3x - 7

x = 3

So, BE = 2

Therefore, BE = 2 units.

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Answer: A There is no relationship between time and height.

Step-by-step explanation:

Given:  The correlation between the time and height was computed to be 0.

That means, There is no relationship between time and height.

Hence, the correct option is "A".

Answer:

There is no linear relationship between time and height

Step-by-step explanation: