The equation − 2 x + 3 = 6 − 2 x has no solution. Which step would change the given equation so that it has infinitely many solutions? A. adding 3 to the left side of the equation B. adding 6 to the left side of the equation C. subtracting 3 from the left side of the equation D. subtracting 6 from the left side of the equation

Approximately, Brianne percentage rate of contribution is 0.5%.

Brianne's annual contribution to her union dues is $200. Her salary is $38,500.

Approximately, her percentage rate of contribution can be calculated as follows:

percentage rate of contribution = union dues / salary × 100

union dues = 200 dollars

salary = 38500

percentage rate of contribution = 200 / 38500 × 100

percentage rate of contribution = 20000 / 38500

percentage rate of contribution =  0.51948051948

Therefore,

percentage rate of contribution ≈ 0.5%

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In order to plot the region enclosed by the given graphs we have to find the intersection points of all the 3 graphs taking 2 at a time

so finding intersection point of the y=4/x and y=16x

4/x=16x

=>  = 1/4

=> x = 1/2 as x>0

and y=16x

=> y =8

now finding intersection point of y=4/x and y=1/16x

=> 4/x =x/16

=>  = 64

=> x = 8 as x>0

and y= 4/x

=> y=1/2

now finding intersection point of y=16x and y=1/16x

the intersection point of both line is x=0

so y=16x

=> y=0

so we will get the intersection point of all the lines now after plotting all the points below we will get the graph as attached below.

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The percentage of the guests at this hotel who called for room service yesterday is 40%

When provided,

170 visitors in total requested room service.

The total number of visitors who did not request room service was 255.

We can now determine the overall number of guests.

Total guests equal (total guests who requested room services) plus (total number of guests who did not call for room services)

so,

there are overall guests of

=170+255

=425

We can now find the percentage

the proportion of visitors to this hotel who requested room service yesterday is

170/425 *100%

=40

The percentage of the customers at this hotel who called for room service yesterday is 40%.

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The equation of the perpendicular line is y = (7/3)x - 2/3. And the slope of the line is 7/3.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

y = -(3/7)x + 4

The equation of the line that is perpendicular to y = -(3/7)x + 4 will be given as,

y = (7/3)x + d

The equation passes through (2, 4) will be given as,

4 = (7/3) × 2 + d

c = - 2/3

Then the equation of the perpendicular line is given as,

y = (7/3)x - 2/3

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Answer:

B. 80 degree

Step-by-step explanation:

These angles are same-side interior angles. Which means both angles have to add up to 180 degrees. One angle is 100 degrees; the other must be 80 degrees!

Confounding variables is the term used to describe these additional factors that might have an effect on the stress levels of tea drinkers.

Confounding variables are those that have an effect on other factors in such a way that misleading or distorted relationships between two variables result. They misinterpret the "real" relationship between two variables. Confounding variable illustration You track sunburns and ice cream consumption. You discover that eating more ice cream increases your chances of becoming sunburned. To establish if a particular risk factor produced confounding, compare the estimated measure of association before and after controlling for confounding. To put it another way, compute the measure of association before and after correcting for a potential confounding factor.

Here,

Confounding variables are the terms used to explain these other elements that may have an influence on tea users' stress levels.

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The time that has elapsed since Gerardo started walking away from car will be equal to 5 seconds.

We solve this problem by converting it into a linear equation that has three variables in it. Since we have distance, time and speed the three variables will be d, t and s respectively. The expression which shows the distance of Gerardo will be expressed as

d = (s×t) + 9; we have the constant as 9 because Gerardo was 9 feet away from his car.

Now, we have the distance as d = 24 feet and the speed is constant that is equal to 3 feet per second and we need time which will be

24 = (3×t) + 9

15 = 3×t

=> t = 15/3

=> t = 5 seconds

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Answer:

y = 8x

Step-by-step explanation:

The amount of sugar in grams is 8 times the number of portions.

For example, 1 portion has 8 grams of sugar.

Two portions have 16 grams of sugar.

If you let y = number of grams of sugar and x = number of portions, then

y = 8x

Answer:

Step-by-step explanation:

so

180 = 2a + 62 + 54 - a + 5a - 20

180 = 6a + 96

180 - 96 = 6a

84 = 6a

a = 14

2a + 62 =

2 * 14 + 62 =

28 + 62 =

90°

54 - a =

54 - 14 =

5a - 20 =

5 * 14 - 20 =

70 - 20 =

60°

in exponential smoothing, if you would like to see the overall long-term tendency of the series, set a small weight, close to 0 is True statement.

In exponential smoothing, a weight is assigned to each data point in the series.

If a small weight is assigned, close to 0, it means that the more recent data points will have a lesser influence on the overall result.

This will therefore show the overall long-term tendency of the series.

in exponential smoothing, if you would like to see the overall long-term tendency of the series, set a small weight, close to 0 is True statement.

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By using the property of triangle, it can be calculated that-

A triangle is possible for case b) and c)

What is a triangle?

A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles.

We know that sum of two sides of a triangle is always greater than the third side

For a)

CA + BC = 3 + 1 = 4 which is not greater than AB = 4

A triangle is not possible in this case

For b)

CA + BC = 10 + 8 = 18 > AB = 8 cm

AB + AC = 8 + 10 = 18 > BC = 8cm

AB + BC = 8 + 8 = 16 > AC = 10 cm

A triangle is possible in this case

For b)

CA + BC = 8 + 10 = 18 > AB = 7 cm

AB + AC = 7 + 8 = 15 > BC = 10cm

AB + BC = 7 + 10 = 17 > AC = 8 cm

A triangle is possible in this case

So a triangle is possible for case b) and c)

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Answer:

op

Step-by-step explanation:

The features that Michael should include on the graph of the parabola are given as follows:

The parabola for this problem is defined as follows:

y = -0.5(x - 3)² - 1.

Comparing to the vertex form definition, the coordinates of the vertex are given as follows:

(3, -1).

The equation can also be written as follows:

-0.5(x - 3)² = y + 1

(x - 3)² = -2(y + 1).

Then the coefficient p is obtained as follows:

4p = -2

p = -0.5

Then the coordinates of the focus are given as follows:

(3, -1 - 0.5) = (3, -3/2),

The equation of the directrix is then given as follows:

y = 1 - 0.5

y = 1/2.

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The volume of the cuboid is 64288 ft³

Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space. A cuboid is a three-dimensional structure having six rectangular faces. These six faces of the cuboid exist as a pair of three parallel faces. Therefore, the volume is a measure based on the dimensions of these faces, i.e. length, width and height.

The formula of volume of a cuboid is given by

V = L * W * H

Substituting the values into the formula;

v = 41 * 32 * 49

v = 64288 ft³

The volume is 64288 ft³

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The option that indicates the correct volume of the rectangular prism in the photo that has the dimensions of length, 41 feet, width, 32 feet, and height, 49 feet is option a.

a. 64,288 ft³

A rectangular prism is a solid that has six rectangular faces, and twelve edges, in which each face has a parallel and congruent face on the opposite side of the prism, that has eight corners.

The dimensions of the rectangular prism in the question are;

Length of the rectangular prism = 41 feet

Width of the rectangular prism box = 32 feet

Height of the prism = 49 feet

The volume, V, of the rectangular prism is the product of the width, the length and the height as follows;

Volume of a rectangular prism, V = Width × Length × Height

The volume of the rectangular prism in the question is therefore;

V = 32 feet × 41 feet × 49 feet = 64,288 feet³

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[tex]-\cfrac{5}{7}(-42k-56)\implies -\cfrac{5}{7}(-42k)\left[ -\cfrac{5}{7}(-56) \right]\implies +\cfrac{5}{7}(42k)+\left[ \cfrac{5}{7}(56) \right] \\\\\\ \cfrac{5(42k)}{7}+ \cfrac{5(56)}{7}\implies 5\cdot \cfrac{42}{7}k + 5\cdot\cfrac{56}{7}\implies 5\cdot 6k+5\cdot 8\implies {\Large \begin{array}{llll} 30k+40 \end{array}}[/tex]

The income tax can be paid by the teacher =$ 9212.

An income tax is a sort of tax that is levied on the earned and unearned income of an individual or corporation.

For instance, the United States levies a federal income tax on its residents, regardless of where they reside—in the country or overseas. The majority of the money the US government receives comes from this income tax.

Here we have

The annual salary of a teacher is $ 65,800

The rate of income tax = 14%

The income tax can be paid = 14% of 65800  

=> [tex]\frac{14}{100} \times 65800[/tex]

= [tex]14 \times 658[/tex]

= 9212

Therefore,

The income tax can be paid by the teacher =$ 9212  

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The probability P(A and B) has a value of (d) 0.2

From the question, we have the following parameters that can be used in our computation:

These mean that

P(A) = 0.4

P(B) = 0.5

From the question, we have

The events are independent events

This means that

P(A and B) = P(A) * P(B)

So, we have

P(A and B) = 0.4 * 0.5

Evaluate

P(A and B) = 0.2

Hence, value is 0.2

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An equation for the line parallel to the given line that contains C(2,4) is y = (3/4)x + (1/2).

We may use the slope-intercept version of the expression of a line, which is provided by "y = mx + b," where m seems to be the slope of the line & b is the y-intercept, to express the linear function that is perpendicular to a given line as well as contains a particular point.

We may easily utilize the same value of m again for the equation of a parallel line if the slope-intercept form of a line's equation is provided. For instance, if the provided line's equation is "y = 2x + 1," a parallel line's equation would be "y = 2x + c," where c is a constant.

By restructuring the equation in slope-intercept form if the equation of a line is provided in another form, such as "ax + by + c = 0," it is possible to determine the slope of the line. If the expression of the single sequence is "3x - 4y + 5 = 0," for instance, we may rewrite it in slope-intercept form by focusing just on y on one side of the equation:

3x - 4y + 5 = 0

-4y = -3x - 5

y = (3/4)x + (5/4)

The slope of the line is 3/4.

4 = (3/4)(2) + b

4 = (3/2) + b

b = 4 - (3/2)

b = (4 - 3/2)

b = (4 - 3)/2

b = (1/2)

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the beam is constructed from two boards fastened together at the top and bottom with three rows of nails spaced every 4 in is[tex]487.5lb .[/tex]

Calculate the moment of inertia by using following expression,

\begin{aligned}

[tex]I & =\frac{1}{12} b d^3 \\& =\frac{1}{12} \times 6 \times(4)^3 \\& =32 \mathrm{in}^4\end{aligned}\\[/tex]

The centroid at center is,

[tex]\begin{aligned}Q & =\bar{y}_1 A \\& =1 \times 6 \times 2 \\& =12 \mathrm{in}^3\end{aligned}$$[/tex][tex]\begin{aligned}q & =\frac{V Q}{I} \\& =\frac{650 \times 12}{32} \\& =243.75 \mathrm{lb} / \mathrm{in}\end{aligned}$$[/tex]

The shear flow is,

[tex]\begin{aligned}q & =\frac{V Q}{I} \\& =\frac{650 \times 12}{32} \\& =243.75 \mathrm{lb} / \mathrm{in}\end{aligned}[/tex]

Since, there is 3 rows of nails so the shear force resisted by each nail is,

[tex]\begin{aligned}\tau & =\frac{1}{3} q s \\& =\frac{1}{3} \times 243.75 \times 6 \\& =487.5 \mathrm{lb}\end{aligned}$$[/tex]

Therefore, the shear force resisted by each nail is 487.5

[tex]487.5lb .[/tex]

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Answer:

78

Step-by-step explanation:

The answer is 78 or 87 dear friend its a mystery

The number of classes should be an integer and this value will typically be a fraction. The limit needs to be raised in order to take into account all observations when this calculation yields an integer.

The fixed and variable costs can be determined by solving the system of equations if the variable cost is a fixed charge per unit and the fixed costs stay the same. The high-low method can, however, produce more or less accurate findings based on the distribution of values between the highest and lowest monetary values or quantities, therefore it is important to use caution when applying it.

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Answer:

750 ft

Step-by-step explanation:

the 2 situations are similar ( both right triangles ) with corresponding sides being in proportion.

let h be the height of the cell phone tower

We require the dimensions to be the same, using the conversion

1 foot = 12 inches , then

10 ft = 10 × 12 = 120 in

125 ft = 125 × 12 = 1500 in

then we obtain

[tex]\frac{h}{1500}[/tex] = [tex]\frac{120}{20}[/tex] =  6 ( multiply both sides by 1500 to clear the fraction )

h = 1500 × 6 = 9000 in ( divide by 12 to convert to ft )

h = 9000 in ÷ 12 = 750 ft

that is the cell phone tower is 750 ft tall.

Answer:

-5/4

Step-by-step explanation:

the main answer is -5/4

The general form of an equation having vertex and point is y=a(x-h)²k. Then, the general form equation with the vertex of (-4,1) and point (-3,3) is y=3x²+24x+48.

The vertex form is an alternative way to state a parabola's equation. The equation y=a(x-h)²k is the formula for this, where k denotes the vertical translation, h is the horizontal translation, and a is a vertical stretch factor.

Here, given the vertex (h,k) is (-4,1) and the point (x,y) is (-3,3)

Start by substituting the values of h and k in the vertex equation, we get,

y=a(x+4)²(1)

Given that the point where the vertex meets is (-3,3). If we substitute this point into the equation above, we obtain,

3=a(-3+4)

a=3

To obtain the general form, now substitute the values of a and (h,k) in the vertex equation. We get,

y=3(x+4)²

y=3(x²+8x+16)

y=3x²+24x+48

Therefore, the required answer is y=3x²+24x+48.

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The correct expression that has a product greater than 4 is one hundred and one hundredths times four.

There are four expressions given as

(a) four hundredths of a percent

= 4 × 99/100

= 4 × 0.99

= 3.96

(b) four times the eighth

= 4 × 8/8

= 4 × 1

= 4

(c) four times three-fourths

= 3/4 × 4

= 3

(d) one hundred and one hundredths multiplied by four

= 1.01 × 4

= 4.04

As a result, the expression with a product greater than four is one hundred and one hundredths times four.

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The linear inequality y > 3/4x - 2 is true about the graph passes through the x - axis at 2.67, the graph passes through the y - axis at -2  and the graph has a straight broken line to denote the ">" inequality sign.

Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1. To represent various kinds of linear inequalities.

In the given, we can represent this on a graph.

The graph of y > 3/4x - 2 shows these properties

The graph passes through the x - axis at 2.67 and the y - axis at -2

The graph has a straight broken line shows the ">" inequality sign.

The correct option is A.

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Complete Question:

Which of the statement are true about the linear inequality y > 3/4x - 2

I. The graph has a broken line

II. The graph has an unbroken line

III. The graph passes through y - axis at -2

IV. The graph passes through the x - axis at 2.67

Answer:

The observation in the upper right corner of the plot is influential for the least-squares regression line.

Step-by-step explanation:

The true statement is (d) the angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid KLMN

From the question, we have the following parameters that can be used in our computation:

Trapezoid PQRS

The transformation is given as

As  a general rule of transformation, reflection and rotation are rigid transformations and they do not change the size and angles in a shape

This means that we get a congruent figure to that figure after the transformations

Thus, when PQRS is reflected and rotated 90° about the origin to form trapezoid KLMN, the trapezoid KLMN is congruent to trapezoid PQRS.

⇒  By the definition of congruence,

The corresponding sides and angle of trapezoid KLMN are congruent to that of trapezoid PQRS.

⇒ ∠P ≅ ∠K, ∠Q ≅ ∠L, ∠R ≅ ∠M and  ∠S ≅ ∠N

⇒ Option D) is correct.

Note:  KMLN is a trapezoid ⇒ Sum of the angle measures of trapezoid P'Q'R'S' is also 180°

Option A) is incorrect.

Since, trapezoid KMLN is congruent to trapezoid PQRS.

⇒ Option B) is incorrect.

We know that if two shapes are congruent then their area must be equal.

⇒ Area of trapezoid KMLN = Area of trapezoid PQRS

Thus, Option C) is incorrect.

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Complete question

Trapezoid PQRS is shown on the coordinate plane. If trapezoid PQRS is reflected across the y-axis and rotated 90° clockwise about the origin to form trapezoid KLMN, which must

A) The sum of the angle measures of trapezoid PQRS is 180° less than the sum of the angle measures of trapezoid KLMN.

B) Trapezoid PQRS is not congruent to trapezoid KLMN

C) The area of trapezoid PQRS is less than the area of trapezoid KLMN

D) The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid KLMN