Andre thinks he should use the rate 1/350 gallons of paint per square foot to find how much paint they need. Di you agree with Andre?

Answer:

1: 45

3: 45

4: 135

5: 103

6: 77

8: 77

9: 135

10: 45

11: 135

12: 45

13: 77

14: 103

15: 77

16: 103

Step-by-step explanation:

Answer:

no they are not equalent to each other

When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

Learn more about  property  from

https://brainly.com/question/2807928

#SPJ11

The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

To determine the upper and lower control limits for the sample means, we can use the formula:

Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))

Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))

In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.

For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.

Given:

Mean = 2.0 litres

Standard Deviation = 0.01 litres

Sample size (n) = 5

Using the formula, we can calculate the upper and lower control limits:

UCL = 2.0 + (1.96 * 0.01 / sqrt(5))

LCL = 2.0 - (1.96 * 0.01 / sqrt(5))

Calculating the values:

UCL ≈ 2.0018 litres

LCL ≈ 1.9982 litres

Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.

Now let's check if the process is in control using the given sample means:

Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997

Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.

Learn more about means from

https://brainly.com/question/1136789

#SPJ11

Answer:

C

Step-by-step explanation:

Since all triangles' angles have a sum of 180 degrees, it can't be A, because that would make it 240 degrees. That leaves us with B and C. While B could be true, we don't know it for sure. Therefore, C is the correct answer because adding them should equal 60 degrees, which, adding them to the first angle (which was 120 degrees), would 180 degrees.

Given rectangles ABCD and WXYZ, you need to determine whether they are similar.

By definition, two figures are similar if the lengths of their corresponding side are in proportion and if the measures of their corresponding angles are equal.

You know that all the interior angles of a rectangle measure 90 degrees. Therefore, you know that the corresponding angles of the given rectangles are congruent.

In order to determine if their corresponding sides are in proportion, you can set up this equation:

Reducing the fractions, you get:

Therefore, the lengths of the corresponding sides are not in proportion.

Hence, the answer is: The rectangles are not similar.

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

Learn more about tangent here:

https://brainly.com/question/10053881

#SPJ11

Answer:

X > 9

Step-by-step explanation:

\(2x + 4 > 22 \\ 2x > 22 - 4 \\ 2x > 18 \\ \frac{2x}{2} > \frac{18}{2} \\ x > 9\)

Answer: 2/3

Step-by-step explanation:

there are 24 pets total (count all of the dots on the plot)

16 students have 2 or more pets (count the dots from point 2 until 6)

your fraction is 16/24

16/24 is 2/3 simplified

hope this helps

The solution to the equation 7w + 2 = 3w + 94 is w = 23.

To solve the equation 7w + 2 = 3w + 94, we'll begin by isolating the variable w on one side of the equation.

Subtracting 3w from both sides of the equation yields:

7w - 3w + 2 = 3w - 3w + 94

This simplifies to:

4w + 2 = 94

Next, we'll isolate the term with w by subtracting 2 from both sides of the equation:

4w + 2 - 2 = 94 - 2

This simplifies to:

4w = 92

To solve for w, we'll divide both sides of the equation by 4:

4w/4 = 92/4

This simplifies to:

w = 23

To check our answer, we substitute the value of w back into the original equation:

7w + 2 = 3w + 94

Substituting w = 23 gives us:

7(23) + 2 = 3(23) + 94

This simplifies to:

161 + 2 = 69 + 94

Which further simplifies to:

163 = 163

Since both sides of the equation are equal, we can conclude that w = 23 is the solution to the equation.

To know more about isolating variables in equations, refer here:

https://brainly.com/question/29170398#

#SPJ11

A rotation which occurred using the origin as the center of rotation is a rotation of 90° clockwise.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise to the coordinate of triangle GHJ in order to determine the coordinate of the vertices H' of the image, triangle G’H’J’;

(x, y)                               →            (y, -x)

Coordinate H = (3, 3) → H' = (3, -(3)) = H' (3, -3)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

(A)  The annual effective rate of interest equivalent to a constant force of interest of 11% is approximately 11.600%. (B) The nominal rate of interest compounded semiannually approximately 5.600%. (C) The nominal rate of discount compounded quarterly is approximately 10.400%.

(A) To find the annual effective rate of interest equivalent to a constant force of interest of 11%, we can use the formula:

Effective interest rate = e^(force of interest) - 1

Applying this formula:

Effective interest rate = \(e^(0.11) - 1\)

Effective interest rate ≈ 0.116

Rounded to 3 decimal places, the annual effective rate of interest equivalent to a constant force of interest of 11% is approximately 11.600%.

(B) To find the nominal rate of interest compounded semiannually equivalent to a constant force of interest of 5.5%, we can use the formula:

Nominal interest rate = 2 * \([(e^(force of interest / 2) - 1)]\)

Applying this formula:

Nominal interest rate = 2 *\([(e^(0.055) - 1)]\)

Nominal interest rate ≈ 0.056

Rounded to 3 decimal places, the nominal rate of interest compounded semiannually equivalent to a constant force of interest of 5.5% is approximately 5.600%.

(C) To find the nominal rate of discount compounded quarterly equivalent to a constant force of interest of 10.2%, we can use the formula:

Nominal discount rate = 4 *[(1 - e^(-force of interest / 4))]

Applying this formula:

Nominal discount rate = 4 * \([(1 - e^(-0.102 / 4))]\)

Nominal discount rate ≈ 0.104

Rounded to 3 decimal places, the nominal rate of discount compounded quarterly equivalent to a constant force of interest of 10.2% is approximately 10.400%.

Learn more about nominal rate here:

https://brainly.com/question/31580933

#SPJ11

Answer:

22%

Step-by-step explanation:

22% of 425 is 93.5

This means that 22% of her weekly income goes to paying her weekly expenses​.

Hope this helped!!

Please leave a thanks and a rating!

If this helped you please consider giving brainliest!!

Given:

\(Domain\neq -1\)

\(Range\neq 2\)

To find:

The function for the given domain and range.

Solution:

A function is not defined for some values that makes the denominator equals to 0.

The denominator of functions in option A and C is \((x-1)\).

\(x-1=0\)

\(x=1\)

So, the functions in option A and C are not defined for \(x=1\) but defined for \(x=-1\). Therefore, the options A and C are incorrect.

In option B, the denominator is equal to \(x+1\).

\(x+1=0\)

\(x=-1\)

So, the function is not defined for \(x=-1\). Thus, \(Domain\neq -1\).

If degree of numerator and denominator are equal then the horizontal asymptote is \(y=\dfrac{a}{b}\), where a is the leading coefficient of numerator and b is the leading coefficient of denominator.

In option B, the leading coefficient of numerator is 2 and the leading coefficient of denominator is 1. So, the horizontal asymptote is:

\(y=\dfrac{2}{1}\)

\(y=2\)

It means, the value of the function cannot be 2 at any point. So, \(Range\neq 2\).

Hence, option B is correct.

Answer:

y+4+−4=−6x−36+−4

y=−6x−40

y=−6x−40

slope is -6

y intercept is -40

Answer:

y = -6x - 40

in standard form its:

y + 6x = -40

Step-by-step explanation:

The expression In(b^5.4√a) * In(b^5.4√a) can be simplified as (a^(2.7) * In(b)) * (a^(2.7) * In(b)).

The given expression is In(b^5.4√a) * In(b^5.4√a). To simplify it without using the logarithm function, we need to express it in terms of u and v, where u = In(a) and v = In(b).

First, let's focus on the term b^5.4√a. We can rewrite the square root of a as a^(1/2). Then, we raise it to the power of 5.4, resulting in (a^(1/2))^5.4, which simplifies to a^(2.7).

Now, we can substitute this into the expression, giving us In(b^5.4√a) * In(b^5.4√a) = In((b^5.4√a) * (b^5.4√a)).

Using the logarithm property In(x^y) = y * In(x), we can further simplify it as In(b^(5.4√a) * b^(5.4√a)).

Since b^(5.4√a) * b^(5.4√a) is equal to b^(2 * 5.4√a), which simplifies to b^(10.8√a), we have:

In(b^(5.4√a) * b^(5.4√a)) = In(b^(10.8√a)).

Now, we can express this in terms of u and v:

In(b^(10.8√a)) = In(e^(10.8√a * ln(b))) = 10.8√a * ln(b).

Therefore, the expression In(b^5.4√a) * In(b^5.4√a) simplifies to (a^(2.7) * In(b)) * (a^(2.7) * In(b)), or equivalently, (10.8√a * ln(b)) * (10.8√a * ln(b)) when expressed in terms of u and v.

To learn more about logarithm  Click Here: brainly.com/question/30226560

#SPJ11

In the above condition of positive correlation, the higher a person scores on involvement, the higher they tend to score on life satisfaction. Therefore, the option B holds true.

Positive correlation can be referred to or considered as the correlation, wherein the relationship between two or more elements, that are taken into consideration, is direct. The direct relationship means that the movement of a change in one element leads to an equal movement in the other. Positive correlation also states about the measure of life satisfaction in the above condition.

Learn more about positive correlation here:

https://brainly.com/question/27886995

#SPJ4

Complete question

A researcher finds a positive correlation between a measure of community involvement and a measure of life satisfaction. How should we interpret the relationship between these variables?

A) There is no relationship between involvement and life satisfaction.

B) The higher a person scores on involvement, the higher they tend to score on life satisfaction.

C) The higher a person scores on involvement, the lower they tend to score on life satisfaction.

D) Involvement and life satisfaction are probably the same variable

f(n) is an arithmetic sequence, so the difference between any two consecutive terms is the same. For instance,

f(2) - f(1) = -0.6 - 0.7 = -1.3

so for all natural numbers n, we should have

f(n) - f(n - 1) = -1.3

Then

f(6) - f(5) = -1.3   ⇒   f(6) = -4.5 - 1.3 = -5.8

f(7) - f(6) = -1.3   ⇒   f(7) = -5.8 - 1.3 = -7.1

Answer:

2 oz.

Step-by-step explanation:

2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg

Answer:

x= -6

Step-by-step explanation:

Factor out x to find it

Answer:

variable, variable, known, unknown

Step-by-step explanation:

Answer:

It's going to be 3.9 because I studied and it's 3.9 got it right

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

You can read the y-intercept as -2.

We have

y = mx - 2

The slope is 1/2. m = 1/2.

y = 1/2 x - 2

Answer:

130°

Step-by-step explanation:

When the angle is not centered, the formula to find the vertex is:

\(x=\frac{1}{2} (arc1+arc2)\)

arc1 = 127°

arc2 = 133°

\(x=\frac{1}{2} (127+133)=\frac{1}{2} (260)=130\)

Step-by-step explanation:

5×10³

9×10⁷

(5×9)×(10³×10⁷)

45×10¹⁰

45¹⁰ or 450,000,000,000

Answer:

\(m=2\)

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (1, 0)

Point (3, 4)

Step 2: Find slope m

Answer:

20.07

Step-by-step explanation:

divide the length value by 2.54 51÷2.54 = 20.07

Answer:

20.0787 inches

Step-by-step explanation:

hope this helps