Solve x^2 + 6x = 7 by completing the square. Which is the solution set of the equation? {–7, 1}

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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Answer:

Point D

Step-by-step explanation:

Each jump os 0.01 and as you go left it decreases in value but increases as it appearances. As we can see D is 3 and a half lines away from -0.1

Hope this helps and brainliest please

Answer:

point D

Step-by-step explanation:

as it increases its sums with 0.1

but in between the lines it sums up with 0.05.

Answer:

A. 568 B. 266

Step-by-step explanation:

A. 568 because that is the nearest foot. If the tenths place was 5 or more you would round to 569.

B. im not sure which number was b, im assuming its 266. Yoh can just levae it as is.

Off topic; nice handwriting

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

The least squares estimated regression line is given by:\($$Y = b_0 + b_1X$$$$Y = 12.10 - 0.0785X$$Therefore, $b_0 = 12.10$, $b_1 = -0.0785$.\)

A regression line is a line drawn through data points that represents a mathematical model. The primary purpose of a regression line is to find the average slope of two data sets. We can develop a least squares estimated regression line by using the equation of a straight line (y = mx + c).

To develop the least squares estimated regression line for the data set provided: A) Calculation of the mean of X and Y:Let's calculate the mean of X and Y using the following formulas:$\bar{x} = \frac{\sum x}{n}$;  $\bar{y} = \frac{\sum y}{n}$

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We have that the Medicare tax is 1.45% of gross pay, and the state tax is 1.5%. Then, if Hong Tang's gross weekly salary is $615, then::

therefore, from state tax and Medicare tax combined, Hong Tang gets deducted $18.14

Answer:

Step-by-step explanation:

Step one:

Given data

the initial salary is = $42,360

the raise in percentage is =3.4%

To know the raise we need to calculate what the amount of 3.4% of $42,360 is

Step two:

=(3.4/100)*42,360

=0.034*42360

=1440.24

therefore thr raise is $1440.24

Step three:

the new salary is given as

new salary= old salary+ raise

New salary= $42,360+$1440.24

New salary= $43,800.24

Answer:

wrong

Step-by-step explanation:

(a+b)^2=(a+b)(a+b)

=a(a+b)b(a+b)

=a^2+ab+ab+b^2

=a^2+2ab+b^2

i hope it helps you

Answer:

18.8% = 0.188 in decimal form. Percent means 'per 100'. So, 18.8% means 18.8 per 100 or simply 18.8/100. If you divide 18.8 by 100, you'll get 0.188 (a decimal number).

Step-by-step explanation:

To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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The required equation in slope intercept form is given by y = 8x + 36.

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
Points are (-4,6) and (-5,-2)

The slope of the line is given as,

M = (y₂ - y₁) / (x₂ - x₁)

m = -2 - 6 / -5 + 4
m = -8/-1
m = 8

Now,
The Equaiton of the line is given as,
y - y₁ = m (x - x₁)
y - 6 = 8 (x + 4)
y = 8x + 32 + 6
y = 8x + 36

Thus, the required equation in slope intercept form is given by y = 8x + 36.

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The acceleration of the car uphill is 10.55 m/s².

Acceleration is the rate of change of velocity over time. It is a vector quantity, which means that it has both magnitude and direction. Acceleration is measured in meters per second squared (m/s²). Acceleration = Change in velocity/time taken for the change in velocity. a = Δv / t Where, a = acceleration, Δv = change in velocity, and t = time taken. From the question, the car starts from rest, so the initial velocity, u = 0 m/s. Time taken, t = 3.2 seconds. Distance traveled, s = 54 meters (length of the hill)Now, we can use the formula, s = ut + 1/2 at² to find the acceleration of the car. Substituting the given values, s = ut + 1/2 at² 54 = 0 × 3.2 + 1/2 a(3.2)² = 1/2 × 10.24 a a = 54 / 5.12 = 10.55 m/s². Therefore, the acceleration of the car is 10.55 m/s².

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Answer:

basically you have to calculate how many roommates he has and you do that by multiplying it by 50

Step-by-step explanation:

I hope this helps please mark me the brainless!!!!!!

Answer:

d=-7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

d=-23.934375

Step-by-step explanation:

The explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

Given that x=2sin, y=2cos, and 0 are constants,

Simplify the parametric functions that are presented. Add their squares after taking them. The following trigonometric identity can be used:

sin2θ+cos2θ=1sin2⁡θ+cos2⁡θ=1

x=2sinθ,

y=2cosθ,0≤θ≤2πsinθ

=x2cosθ,

=y2x

Y=2sin⁡θ,

y=2cos⁡θ,0≤θ≤2πsin⁡θ=x2cos⁡θ=y2

Square them now and add them:

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

(Using the trigonometric identity sin2+cos2=1)x24+y24=1, where (x2)2+(y2)2=sin2+cos2)

A parameter in a parametric equation can stand in for anything, including an angle. When a parameter is an angle—as opposed to a non-angle parameter—the plane curve can be graphed by choosing values for the angle and computing the x- and y-values.

Hence, the explicit relation between x and y in the form is (x2)2+(y2)2=sin2+cos2.

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Linear regression is a method of fitting a straight line between a dependent variable and an independent variable.

However, this method can be extended to accommodate some forms of non-linear relationships between the response and predictor(s). Some forms of non-linear relationships can be accommodated in a linear model if we include transformed versions of the predictor(s). Moreover, polynomial regression is one method for incorporating non-linear associations in a linear model. Thus, all of the given options are correct. So, the correct option is (A) The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s). (B) Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s). (C) Polynomial regression is one method for incorporating non-linear associations in a linear model.

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Answer:

(3x + 1)(x - 2) = 0

Step-by-step explanation:

move the 2 to the left to set the equation equal to 0

3x^2 - 5x - 2 = 0

factor out from here

(3x + 1)(x - 2) = 0

Answer:

B. 3x+9

hope this helped

Answconfused

Step-by-step explanation:

The area and circumference to the nearest tenth include the following:

Area = 490.6 square meters.

Circumference = 78.5 meters.

In Mathematics, the area of a circle can be calculated by using this formula:

Area = πr²

Where:

r represents the radius of a circle.

Note: Radius = diameter/2 = 25/2 = 12.5 meters.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of circle = 3.14 × 12.5²

Area of circle = 490.6 square meters.

In Mathematics, the circumference of a circle can be calculated by using the following mathematical expression:

Circumference of a circle, C = 2πr

Circumference of a circle, C = 2(3.14) × 12.5

Circumference of a circle, C = 78.5 m.

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The probability that , Xb exceeds Xa , by 3.0 or more if ub and ua, are equal is 0.2537.

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is stated as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more probable it is that the event will take place.

Probability is a way to gauge how likely something is to happen. Several things are difficult to forecast with absolute confidence. With it, we can only make predictions about the likelihood of an event happening, or how likely it is.

n1 = n2 = 25,

hypothesis,

standard error for difference,

\(\sqrt{\frac{16^2}{25} +\frac{16^2}{25} }\)

=4.525

z =(3-0)/4.525

z=0.663

P(z ≥ 0.663) = 0.2537.

No, there is not strong evidence that \(\mu _B\) is greater than \(\mu _A\).

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Complete question;

A consumer electronics company is comparing the brightness of two different types of picture tubes for use in its television sets. Tube type A has mean brightness of 100 and standard deviation of 16, and tube type B has unknown mean brightness, but the standard deviation is assumed to be identical to that for type A. A random sample of n = 25 tubes of each type is selected, and X -X, is computed. If u, equals or exceeds u,, the manufacturer would like to adopt type B for use. The observed difference is X,X, - 3.0. a. What is the probability that , exceeds X, by 3.0 or more if ug and u, are equal? b. Is there strong evidence that ug is greater than u,?

Answer:

Step-by-step explanation:

6g - 11=(6 x -5) - 11

=-30 - 11

=-41

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Answer:

67

Step-by-step explanation:

Answer:

The volume of the gas under these circumstances is 30 cm³.

Step-by-step explanation:

To determine the variation equation for this situation, we start with the formula V = Tk/P

where k is the constant of variation.

To solve for k, we use the initial values of V, T, and P

V = 42 cm³, T = 84 °C, P = 50 mmHg

Substituting these values into the formula, we get

42 = 84k/50

Solving for k, we have

k = (42 x 50)/84 = 25

Therefore, the variation equation for this situation is

V = 25T/P

To find the volume of gas when T = 48 °C and P = 40 mmHg, we substitute these values into the variation equation

V = 25 x 48/40 = 30 cm³

Therefore, the volume of the gas under these circumstances is 30 cm³.

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

TUS

Step-by-step explanation:

The angle parallel has the square that indicates its a right angle - parallel angles have the same number

Answer:

3: ∠TUS

Step-by-step explanation:

line measures 180°

so < U + <TUS =180°................ < U = 90°

< U + <TUS =180°................ < U = 90° 90° + <TUS = 180°

< U + <TUS =180°................ < U = 90° 90° + <TUS = 180° <TUS = 90°

Answer:

46?

Step-by-step explanation:

23*2=46

Answer:

37.31 cm

Step-by-step explanation:

∡ AB = 180 - 148 = 32° = ∡ DE

∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°

∡ CE = 61 + 32 = 93°

arc length = 2\(\pi\)r \(\frac{angle}{360}\) = 2×3.14×23×\(\frac{93}{360}\\\) = 37.31 cm

Answer:It is what it is

Step-by-step explanation:

Answer:

Parallel lines do not intersect.

Parallel lines are like an equal sign

========================

They go Straight across

While perpendicular lines intersect.

A lot of squares are parallelograms, they only have parallel lines.

Hope this helps

~ヾ(・ω・)

The number of trees that would be saved from a stack of newspapers 24 feet high given the by ratio of trees saved from a stack of recyclable newspaper is 8 trees

Convert feet to inches

Quantity of recyclable newspaper needed : number of trees

36 : 1 = 288 : x

36/1 = 288/x

36 × x = 1 × 288

36x = 288

x = 288 / 36

x = 8 trees

In conclusion, the trees that would be saved from a stack of newspapers 24 feet high is 8 trees

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