Drag each equation to the correct location on the table.
Which equations have one solution and which have infinitely many solutions?

Answer:

I am doing good!

What about you mate?!

Answer:

im fine ig

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The shortest driving distance between the stadium and the animal shelter is given as follows:

10 blocks.

Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The coordinates are given as follows:

Since the spaces are filled by houses, we cannot apply the formula, hence the shortest distance is:

6 - (-3) + 3 - 2 = 9 + 1 = 10 blocks.

More can be learned about the distance between two points at https://brainly.com/question/30347465

#SPJ1

A similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but not the shape.

In geometry, a similarity transformation is a rigid movement followed by scaling, so this type of transformation can change the position and size, but preserve the shape and angles.

Thus, two or more shapes are similar if they have the same shape and corresponding angles, but their corresponding sides are proportional in length.

This type of transformation is often also referred to as dilation.

The rule of dilatation:

\(D_{k}\) (x,y) = (kx, ky)

with \(D_{k}\) is the coordinate point of the new image and k is the scale factor.

To learn more about similarity transformation, click here:  https://brainly.com/question/26836817

#SPJ4

Answer: 1 3/5

Step-by-step explanation:15 x 1 3/5 = 24

The derivative is y' = cos(x). However, based on our calculations, we found that y' = sec^2(x). Therefore, the given function and derivative do not match, and we cannot verify that the function satisfies the differential equation.

Let's use the given function and its derivative:

Function: y = 2 tan(x) - x
Derivative: y' = cos(x)

Now, let's rewrite the function in terms of sin(x) and cos(x), since tan(x) = sin(x) / cos(x):

y = 2 (sin(x) / cos(x)) - x

To find the derivative y', we will need to apply the Quotient Rule, which states:

(d/dx)[u(x) / v(x)] = (v(x) * (du/dx) - u(x) * (dv/dx)) / [v(x)]^2

Here, u(x) = sin(x) and v(x) = cos(x). Thus, we have:

(du/dx) = cos(x) and (dv/dx) = -sin(x)

Applying the Quotient Rule:

y' = (cos(x) * cos(x) - sin(x) * -sin(x)) / cos^2(x)

y' = (cos^2(x) + sin^2(x)) / cos^2(x)

Using the Pythagorean identity, cos^2(x) + sin^2(x) = 1:

y' = 1 / cos^2(x)

Now, recall that 1 / cos^2(x) is equal to the secant squared function, sec^2(x). Therefore, we can rewrite y' as:

y' = sec^2(x)

For more about derivative:

https://brainly.com/question/25752367

#SPJ11

We can use the distributive property to find an expression equivalent to 15(x+2) as 15x + 30.

The given equation is 15(x+2).

The distributive property can be used on the component outside of the brackets, that is 15.

Therefore, we would multiply 15 by each term inside the rounded brackets.

It becomes, 15 times x = 15x and 15 times 2 = 30

That is, 15*(x+2) = 15* x +15* 2 = 15x + 30

Hence, the equation 15(x+2) becomes 15x + 30.

By using the distributive property, expression equivalent to 15(x+2) is 15x + 30

To solve more on distributive property:

https://brainly.com/question/5637942

#SPJ4

Answer:

1: 1/3

2: 3/19

3: 7/3

Step-by-step explanation:

Answer:

t = 1

Step-by-step explanation:

4t = 4

t = 1

Answer:

-12+3(-11)-40-10

Step-by-step explanation:

Answer:

Step-by-step explanation:

-12+12-45-40+1

0-85+1

-84

In the algebra class, it takes 479,001,600 days for a seating arrangement to repeat. There are 362,880 seating arrangements with Larry, Moe, and Curly in the front seats. Set S has 16 subsets, including 14 proper subsets.

To determine how many days must pass before a seating arrangement is repeated in an algebra class with 12 students and 12 desks, we can use the concept of permutations.

Since each student can sit in any of the 12 desks, the total number of possible seating arrangements is 12 factorial (12!). Therefore, the class can have 12! = 479,001,600 different seating arrangements.

To find out how many seating arrangements put Larry, Moe, and Curly in the front seats, we consider them as a group and arrange them in the front row.

The remaining 9 students can be seated in the back row, so the number of seating arrangements with Larry, Moe, and Curly in the front seats is 9 factorial (9!).

Therefore, there are 9! = 362,880 seating arrangements that put Larry, Moe, and Curly in the front seats.

For the set S = {y | y ∈ N and 103 ≤ y < 119}, we need to find the number of elements in this set. The range is from 103 to 118 (since 119 is not included), and the set contains natural numbers.

Therefore, the number of elements in this set is 118 - 103 + 1 = 16.

The set S has 16 subsets. This includes the empty set and the set itself, which are always subsets of any set.

Additionally, there are subsets containing a single element, subsets containing two elements, subsets containing three elements, and so on, up to subsets containing all 16 elements.

However, since we need to find proper subsets (excluding the empty set and the set itself), the number of proper subsets of set S is 16 - 2 = 14.

To know more about seating arrangements refer here:

https://brainly.com/question/31357018#

#SPJ11

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

Hey there!

Let's solve this equation.

\(-6x-10=-40\)

Add 10 to both sides.

\(-6x-10+10=-40+10=-6x=-30\\-6x=-30\)

Divide both sides by by -6.

\(\frac{-6x}{-6} =\frac{-30}{-6}\)

Simplify the fraction by dividing -30 by -6.

\(-30/-6=5\\ x=5\)

x=5 is your answer.

Hope this helps!

\(\text{-TestedHyperr}\)

The equation of the plane parallel to the plane 5x - 9y - 2z = -8 and passing through the point (-2, -5, -6) is 5x - 9y - 2z = -33.

To find the equation of a plane parallel to another plane, we know that the normal vectors of both planes should be the same. The given plane has a normal vector of (5, -9, -2). Since the planes are parallel, any plane parallel to the given plane will have the same normal vector.

Now, we need to find the equation of a plane passing through the point (-2, -5, -6). To do this, we substitute the coordinates of the point into the equation of the plane.

Using the normal vector (5, -9, -2) and the point (-2, -5, -6), we get:

5x - 9y - 2z = 5(-2) - 9(-5) - 2(-6)

5x - 9y - 2z = -33  

Therefore, the equation of the plane parallel to the plane 5x - 9y - 2z = -8 and passing through the point (-2, -5, -6) is 5x - 9y - 2z = -33, where a = 5, b = -9, c = -2, and d = -33.

Learn more about coordinates here:  

https://brainly.com/question/32836021  

#SPJ11

Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

For more such questions on multicollinearity, click on:

https://brainly.com/question/15856348

#SPJ8

The equation of the line of best fit for this data set is y = 10x + 60.

The ratio of the vertical changes to the horizontal changes between two points of the line is known as the slope. It can be written as

m = \(( y_{2 }- y_{1} ) / ( x_{2} - x_{1} )\)

According to the question, we are given that the function goes through the point (0,60). Therefore, we will get the intercept of the line as follows

b = 60.

We know that when x increases by 2, from 0 to 2, then y increases by 20, from 60 to 80. Therefore, we will take points \((x_{1}, y_{1})\)  \((x_{2} , y_{2})\) as (0,60) and (2,80) respectively. Now, we will substitute the values in the formula for slope.

m = (80 - 60)/(2 - 0)

m = 20/2

m  = 10.

Therefore, the slope of our line is 10 and its intercept is 60.

The line of fit will be given by;

y = 10x + 60.

To learn more about slopes;

https://brainly.com/question/2503591

#SPJ4

The complete question is "Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data. Scatter plot titled students' data, with points plotted at 1 comma 75, 2 commas 70, 2 comma 80, 2 commaS 90, 3 commas 80, 3 commas 100, 4 commas 95, and 4 commas 100, and a line of fit drawn passing through the points 0 commas 60 and 2 commas 80

Find the slope of the line of fit and explain its meaning in the context of the data.

80; a student who studies for 0 hours is predicted to earn 80% on the test

60; a student who studies for 0 hours is predicted to earn 60% on the test

10; for each additional hour a student studies, their grade is predicted to increase by 10% on the test

5; for each additional hour a student studies, their grade is predicted to increase by 5% on the test. "

Using Laplace transforms the solution to the initial value problem y'' - 2y' + y = 0 is y(t) = (t - 1)y(0) + y'(0)e^t, where y(0) and y'(0) are the initial conditions.

To solve the initial value problem y'' - 2y' + y = 0, we can use the method of Laplace transforms.

Take the Laplace transform of both sides of the differential equation. Using the linearity property of Laplace transforms and the derivative property, we have:

s^2Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) + Y(s) = 0

Simplify the equation by rearranging terms and grouping:

s^2Y(s) - 2sY(s) + Y(s) - sy(0) + 2y(0) - y'(0) = 0

Substitute the initial conditions into the equation:

s^2Y(s) - 2sY(s) + Y(s) - sy(0) + 2y(0) - y'(0) = 0

Solve for Y(s) by factoring and isolating it:

(Y(s)(s^2 - 2s + 1)) - (sy(0) - 2y(0) + y'(0)) = 0

Y(s) = (sy(0) - 2y(0) + y'(0)) / (s^2 - 2s + 1)

Y(s) = (s - 1)y(0) + y'(0) / (s - 1)^2

Apply the inverse Laplace transform to find the solution y(t):

y(t) = (t - 1)y(0) + y'(0)e^t

Therefore, the solution to the initial value problem y'' - 2y' + y = 0 is y(t) = (t - 1)y(0) + y'(0)e^t.

To learn more about differential equations visit:

https://brainly.com/question/28099315

#SPJ11

The complete question is,

use the Laplace transforms to find the solution y(t) to the initial value problem  y'' - 2y' + y = 0

The time constant term determines the steady-state response of the system in this first-order equation, for t>0.

In a first-order equation with t>0, the steady-state response of the system is determined by the time constant term.

The time constant is a measure of the time required for a system to reach a steady-state condition after a change in input. It is the ratio of the system's resistance or capacitance to its reactance.

Learn more about constant

brainly.com/question/31730278

#SPJ11

No. The divisibility rule of 9 is if the sum of all the digits is divisible by 9 then it is.

9+3+1+8+6+3+2+3 = 35 and 35 is not divisible by 9 hence 93,186,323 is NOT divisible by 9

a)  there are 333 integers from 1 through 1,000 that are multiples of 5 or multiples of 6.

b) the probability is approximately 33.3%.

c) there are 667 integers from 1 through 1,000 that are neither multiples of 5 nor multiples of 6.

(a) To find the number of integers from 1 through 1,000 that are multiples of 5 or multiples of 6, we can calculate the number of multiples of 5 and the number of multiples of 6 separately and then subtract the duplicates.

Multiples of 5: There are 1,000/5 = 200 multiples of 5 between 1 and 1,000.

Multiples of 6: There are 1,000/6 = 166.67 multiples of 6 between 1 and 1,000 (considering only whole numbers).

However, some numbers are counted twice since they are multiples of both 5 and 6 (multiples of 30). So, we need to subtract the number of multiples of 30 once.

Multiples of 30: There are 1,000/30 = 33.33 multiples of 30 between 1 and 1,000.

The total number of integers that are multiples of 5 or multiples of 6 is:

200 + 166 - 33 = 333.

Therefore, there are 333 integers from 1 through 1,000 that are multiples of 5 or multiples of 6.

(b) The probability that an integer chosen at random from 1 through 1,000 is a multiple of 5 or a multiple of 6 can be calculated by dividing the number of favorable outcomes (333) by the total number of possible outcomes (1,000).

Probability = (Number of multiples of 5 or multiples of 6) / (Total number of integers from 1 to 1,000)

Probability = 333 / 1,000 ≈ 0.333 ≈ 33.3% (rounded to the nearest tenth of a percent).

Therefore, the probability is approximately 33.3%.

(c) To find the number of integers from 1 through 1,000 that are neither multiples of 5 nor multiples of 6, we can subtract the number of integers that are multiples of 5 or multiples of 6 from the total number of integers (1,000).

Number of integers neither multiples of 5 nor multiples of 6 = Total number of integers - Number of multiples of 5 or multiples of 6

= 1,000 - 333

= 667.

Therefore, there are 667 integers from 1 through 1,000 that are neither multiples of 5 nor multiples of 6.

Learn more about probability here

https://brainly.com/question/30881224

#SPJ4

The comparison of the expressions is 7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

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

7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2

Express the exponents properly

This gives

7 + 3² -2  * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 2²

Evaluate the exponents

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 4

Evaluate the expressions in brackets

So, we have the following representation

7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and 7/8 ÷ ⅛ - 4

Solve the products and quotients

7 + 9 - 2.5 - 2 and 7 - 4

So, we have

11.5 and 3

11.5 is greater than 3

So, we have

11.5 > 3

Rewrite as

7 + 3² -2  * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

9514 1404 393

Answer:

  7.6

Step-by-step explanation:

The equation is written in the form ...

  y = kx . . . . . k is the constant of proportionality

where k = 7.6.

The constant of proportionality is 7.6.

If the researcher uses a cross-sectional design and obtains 25 scores for each age, to determine how many children participated in the entire study, you can follow these steps: First, you have to add up all the scores obtained for all ages.

This is done by multiplying the 25 scores by the number of ages that were considered in the study, which in this case is three (5 years, 7 years, and 10 years). Therefore, the total number of scores would be:

25 scores × 3 ages = 75 scores.

Then you divide the total number of scores by the number of scores per participant to get the total number of participants. In this case, each participant had one score. Therefore, the total number of children who participated in the entire study would be:

75 scores ÷ 1 score per child = 75 children.

This study aimed to examine the cooperation between peers by observing children at five years, seven years, and ten years old. A cross-sectional design is a research method used to compare different groups of people at one time. It involves selecting participants at different ages or from different groups to compare their performance. In this study, the researcher used a cross-sectional design and obtained 25 scores for each age to determine the number of children who participated in the entire study. In this study, the researcher had a total of 75 scores, 25 for each age of the children. Therefore, the total number of children who participated in the study would be 75, which is the total number of scores divided by one score per child. The study focused on understanding the level of cooperation between peers, and it is expected that the results of the study would help in developing strategies to improve the level of cooperation between peers among children of different ages.

In conclusion, a cross-sectional design is a research method used to compare different groups of people at one time. This method was used in this study to observe the cooperation between peers by observing children at different ages. The study obtained 25 scores for each age, which totaled to 75 scores for all ages. Therefore, the total number of children who participated in the entire study was 75, which was obtained by dividing the total number of scores by the number of scores per participant. The study's results will help develop strategies to improve cooperation among peers among children of different ages.

To learn more about cross-sectional design visit:

brainly.com/question/31544544

#SPJ11

Using a cross-sectional research design, the total number of children that participated in the study is 75, which is calculated by multiplying the number of children in each group (25) by the number of age groups (3).

In a cross-sectional research design, different age groups are observed at a single point in time. In this case, the groups are children at ages of five years, seven years, and ten years. Each age group includes 25 children, therefore we have 3 groups. We calculate the total number of participated children by multiplying the number of children in each group by the number of the groups. Therefore, 25 children/group × 3 groups = "75 children" participated in the entire study.

https://brainly.com/question/33774145

#SPJ12

The Cartesian equation will be;

⇒ x² + y² - 4x - 5y = 0

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polar equation will be;

⇒ r = 4 sin(θ) + 5 cos(θ)

Now,

Substitute r = √x² + y² , r sin θ = x, r cos θ = y in above equation, we get;

The polar equation will be;

⇒ r = 4 sin(θ) + 5 cos(θ)

⇒ r² = 4 r sin(θ) + 5 r cos(θ)

⇒ x² + y² = 4x + 5y

⇒ x² + y² - 4x - 5y = 0

Thus, The Cartesian equation will be;

⇒ x² + y² - 4x - 5y = 0

Learn more about the polar form visit:

https://brainly.com/question/16166662

#SPJ1

The interquartile range of the set of values given is: 11 - 4 =7

To find the interquartile range, you first begin by defining the lower half, the median, and the upper half. The median of the set of figures given is 8. Then the upper half begins at 11 while the lower half begins and ends at 4.

So, to define the interquartile range, we would subtract 7 from 11 to get 4. So, the interquartile range of the values in the dataset is 4.

Learn more about the interquartile range here:

https://brainly.com/question/4102829

#SPJ1

Complete Question:

A data set is made up of these values 3,4,5,8,9,11,12 Find the interquartile range

The required interest as calculated from the given data equals $48.3 .

Given,

A $1,000 TR Global bond at an interest rate of 80.5 pays 6%.

A bond price of 90 on a $1,000 bond indicates that the bond will sell for $900, or 90% of $1,000.

Because we provided a $1,000 TR Global bond at 80.5 pays

means that 80% of $1,000 is used to fund the bond.

80.5% of $1,000 is equal to frac80.5100*1000=805.

The true cost is $805.

Currently, actual interest is 6%.

6% of $805= 6*100*805*0.06*805

=48.3

Final interest equals $48.3

Interest is calculated as Interest Rate * Balance or Principal.

Choosing the appropriate interest rate is frequently the more challenging part of calculating interest. The APR is typically used to denote the interest rate, which is frequently stated as a percentage.

The APR, however, frequently does not take compounding into account.

The actual rate of interest to be paid is expressed instead using the effective yearly rate.

To determine the appropriate interest earned over a specific period, an annual rate must frequently be converted.

To learn more about interest

/brainly.com/question/1173061

#SPJ4

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

Step-by-step explanation: