coordinate grid by equation y=4 what line would represent a row parallel to it ?

Answer:

y= 2x - 3

Step-by-step explanation:

slope intercept form:  y= mx + b

Answer:

y= 2x-3

Step-by-step explanation:

2x-y+5=8

-y= 8-2x-5

-y=-2x+3

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

= y= 2x-3

Answer: 75%

Step-by-step explanation:

To find out what percent of daisies she gave away, we can use this formula: \( \textsf{(Number of Daisies she gave away  / Total number of Daisies) x 100} \)

So, the fraction of daisies she gave away is:

\(\frac{15}{20}\)

We can simplify this fraction by dividing both the numerator and denominator by 5:

\(\frac{15}{20} = \frac{3}{4}\)

This means that Felicia gave away 3 out of every 4 daisies she picked.

To find the percentage, we multiply this fraction by 100:

\(\frac{3}{4}\) \( \textsf{x 100 = 75} \)

So, Felicia gave away 75% of the daisies she picked.

The researcher randomly selected and interviewed fifty male and fifty female teachers can be categorized as:

iii. random - The selection of teachers is done randomly, without any specific criteria or pattern.

To solve the absolute-value inequality |8 - x| ≥ 5, we can consider two cases:

Case 1: (8 - x) ≥ 5

To solve this inequality, we have:

8 - x ≥ 5

-x ≥ 5 - 8

-x ≥ -3 (multiplying by -1 and reversing the inequality)

x ≤ 3 (dividing by -1 and reversing the inequality)

Case 2: -(8 - x) ≥ 5

To solve this inequality, we have:

-8 + x ≥ 5

x ≥ 5 + 8

x ≥ 13

Combining the solutions from both cases, we have:

x ≤ 3 or x ≥ 13

So, the solution to the absolute-value inequality |8 - x| ≥ 5 is x ≤ 3 or x ≥ 13.

To know more about inequality visit:https://brainly.com/question/30231017

Answer:

$32

Step-by-step explanation:

24 divided by 3= 8

8*4=32

Answer:

$32

Step-by-step explanation:

To convert the given infix expression a+bc/2 - (ac - 3/b) into postfix notation, we will use a stack to store and manage operators. Here's the step-by-step process:

1. Start scanning the expression from left to right.
2. If an operand (a, b, c, 2, or 3) is encountered, append it to the output.
3. If an operator (+, -, *, or /) is encountered, push it onto the stack if it's empty or if the operator at the top of the stack has a lower precedence. Otherwise, pop operators from the stack and append them to the output until the stack is empty or the operator at the top of the stack has a lower precedence. Then, push the current operator onto the stack.
4. If an open parenthesis '(' is encountered, push it onto the stack.
5. If a close parenthesis ')' is encountered, pop operators from the stack and append them to the output until an open parenthesis '(' is encountered. Pop the open parenthesis but do not append it to the output.
6. After scanning the entire expression, if there are still operators in the stack, pop them and append them to the output.

Applying these rules, we get the following postfix expression:

a b c * 2 / + a c * 3 b / - -

Here's the evolution of the stack during each step:

1. Push '+'
2. Push '*', pop '+' (higher precedence), push '+'
3. Push '/'
4. Pop '*', pop '/', push '-'
5. Push '*', pop '-' (higher precedence), push '-'
6. Push '/'
7. Pop '*', pop '/', pop '+', pop '-'

The resulting postfix expression is: a b c * 2 / + a c * 3 b / - -

To learn more about stack : brainly.com/question/14257345

#SPJ11

EXPLANATION

The expression 9 3/10 first you be converted into a improper fraction as follows:

9 3/10 = 93/10

Applying the same operation for 2 7/10:

2 7/10 = 27/10

Then, subtracting both fractions:

93/10 - 27/10 = 66/10

Simplifying the fraction:

33/5

The answer is 33/5

Answer:

See Explanation

Step-by-step explanation:

No trapezoid is attached; so, I will solve on a general note

The area of a trapezoid is:

\(Area = \frac{1}{2}(Sum\ of\ parallel\ sides) * Height\)

Using the attached image as a point of reference;

The parallel sides are: AD (6cm) and BD (12cm)

The height is 4cm

So, the area is:

\(Area = \frac{1}{2} * (6cm + 12cm) * 4cm\)

\(Area = 18cm * 2cm\)

\(Area = 36cm^2\)

Answer:

There are 6 goldfish in each of the 3 aquariums at Joe's fish store.

Step-by-step explanation:

To find out how many goldfish are in each aquarium, we can divide the total number of goldfish by the number of aquariums:

Therefore, there are 6 goldfish in each of the 3 aquariums at Joe's fish store.

Answer:

12

Step-by-step explanation:

3 4's

3+3+3+3=12

Hope that helps :)

Answer: X is less than or equal to 5.

Step-by-step explanation: The amount of money she spends is either less than 5, or at 5.

Answer:

Step-by-step explanation:

A rectangular carpet measures 8 m by 6 m​Part of the carpet is covered by a square rug of length 2 m

Answer : The length of QT is 19.

Step-by-step explanation :

As we are given:

Length of RT = 11

Length of RS = 8

As we are given that R is the mid-point of line QS. That means,

Length of RS = Length of QR = 8

Now we have to calculate the length of ST.

Length of ST = Length of RT - Length of RS

Length of ST = 11 - 8

Length of ST = 3

Now we have to calculate the length of QT.

Length of QT = Length of QR + Length of RS + Length of ST

Length of QT = 8 + 8 + 3

Length of QT = 19

Therefore, the length of QT is 19.

Answer:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

If all the data points fall on the least-squares regression line in simple linear regression this is indication of overfitting. The correct answer is E. None of the above statements are true.

In simple linear regression, if all the data points fall exactly on the least-squares regression line, it means that the regression model perfectly explains the relationship between the independent variable and the dependent variable. However, this scenario is highly unlikely in practice and is often an indication of overfitting.

Here's a breakdown of each statement:

A. F-statistic = 0: The F-statistic is used to test the overall significance of the regression model. If all data points fall on the regression line, it suggests a perfect fit, and the F-statistic would be large rather than zero.

B. MS(Regression Model) = 100%: MS stands for mean square, and this statement implies that all the variation in the dependent variable can be attributed to the regression model. However, in reality, there is typically some degree of error or residual variation that cannot be explained by the model.

C. SS(Total) = 0: SS stands for sum of squares, and SS(Total) represents the total sum of squares of the dependent variable. If all data points fall on the regression line, it would imply that there is no variation in the dependent variable, which is highly unlikely.

D. SS(Regression Model) = SS(Total): SS(Regression Model) represents the sum of squares explained by the regression model. If all data points fall on the regression line, it implies that the regression model perfectly explains all the variation in the dependent variable. However, in practice, there is typically some residual variation that cannot be explained by the model.

Therefore, none of the statements mentioned are true when all the data points fall on the least-squares regression line.

Learn more about linear regression here:

https://brainly.com/question/31864281

#SPJ11

In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

For more such questions on perpendicular

https://brainly.com/question/1202004

#SPJ8

Answer:

Step-by-step explanation:

Let the rate of commission is x%.

Total earning is:

Answer:

Let the rate of the commission be x%

Now, according to the given problem

The total monthly earning is

\( \frac{120000x}{100} + 7500 = 13500 \\ 1200x = 13500 - 7500 \\ 1200x = 6000 \\ x = \frac{6000}{1200} \\ \boxed{x = 5}\)

Therefore, the rate of commission is 5%

The step which Rahul used the addition property of equality is the Step 3.

The addition property of equality explains that if a number is added to both sides of an equation, the equation is still valid (the equation is still the same).

For this case, the solution is given in the attached image. The steps of the solution are:

Step 1:

\(2x - \frac{1}{4} - \frac{3}{5}x = \frac{55}{4}\)

Step 2: Simplifying the coefficients of x

\(2x - \frac{3}{5}x - \frac{1}{4} = \frac{55}{4}\)

\(\frac{10x-3}{5} - \frac{1}{4} = \frac{55}{4}\)

\(\frac{7x}{5} - \frac{1}{4} = \frac{55}{4}\)

Step 3: Adding 1/4 to both sides

\(\frac{7x}{5} - \frac{1}{4} + \frac{1}{4} = \frac{55}{4} + \frac{1}{4}\)

\(\frac{7x}{5} = \frac{55+1}{4}\)

\(\frac{7x}{5} = \frac{56}{4}\)

Step 4: Multiplying both sides by 5/7

\(\frac{7x}{5} * \frac{5}{7} = \frac{56}{4} * \frac{5}{7}\)

\(\frac{35x}{35} = \frac{280}{28}\)

x = 10

From the steps above, the addition property of equality was applied in the Step 3.

Learn more about property of equality at: https://brainly.com/question/10617252

#SPJ4

Answer:the answer is ,C step 3

Step-by-step explanation:

When t = -12 and x = 15, the absolute value expression ∣-7t - 10x∣ evaluates to 66.

To evaluate the absolute value expression ∣-7t - 10x∣ for t = -12 and x = 15, we substitute these values into the expression:

∣-7t - 10x∣ = ∣-7(-12) - 10(15)∣

= ∣84 - 150∣

= ∣-66∣

= 66

Therefore, when t = -12 and x = 15, the absolute value expression ∣-7t - 10x∣ evaluates to 66.

To learn more about absolute value

https://brainly.com/question/13033540

#SPJ11

A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

Learn more about system of linear equations on:

https://brainly.com/question/14323743

#SPJ1

Answer:

b=15

Step-by-step explanation:

8²+b²=17²

b²=225

b=15

Answer:  the solution for y(t) is given by:y = -6t - 3.

The given initial value problem is,dx/dt = -3x - y + e^(3t)and dy/dt = x + 3y

The solution is x(t) = x(0) = 3 and y(0) = -3

The solution for y(t) is to be determined

Using the given information, we can write the differential equation for y as follows:

dy/dt = x + 3ydy/dt = 3 + (-9)dy/dt = -6I

ntegrating both sides, we get:∫dy = ∫(-6)dt⇒ y = -6t + c

where c is the constant of integration.

Substituting the initial value of y,

we get:-3 = -6(0) + c⇒ c = -3

Hence, the solution for y(t) is given by:y = -6t - 3

Answer: Therefore, the solution for y(t) is given by:y = -6t - 3.

To know more about initial value visit:

https://brainly.com/question/17613893

#SPJ11

The dimension the  a box with a square end the largest possible volume is 10 ×10 × 23.3

First, we will need to complete the question.

Let us assume that its dimensions are h by h by w and its girth is 2h + 2w.

Volume = h²w

Where h is the length

w is the girth

From the information given, we have;

Length + girth = 90

w+(2h+2w) = 90

2h + 3w = 90

Make 'w' the subject

w = 90- 2h/3

w = 30 - 2h/3

Substitute the values

Volume = h²(30 - 2h/3)

expand the bracket

Volume = 30h² - 2h³/3

Find the differential value

Volume = 60h - 6h²

h = 10

Substitute the values

w =  30 - 2h/3

w = 30 - 2(10)/3

w = 30 - 20/3

w = 23.3 in

The dimensions are 10 ×10 × 23.3

Learn more about volume at: https://brainly.com/question/1972490

#SPJ1

Answer:

Step-by-step explanation:

f(x) = 9x - 25/5

f(x) = 9x - 5

f(6) = 9*6 - 5

f(6) = 54 - 5

f(6) = 49

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

You might mean

f(x) = (9x - 25)/5

f(6) = (9*6 - 25) / 5

f(6) = (54 - 25) / 5

f(6) = 29/5

f(6) = 5.8

Moral: please use brackets to clarify the question.

Answer:

x equals 3

Step-by-step explanation:

hope this helps

Answer:

£21.15 (rounded to nearest penny)

Step-by-step explanation:

100% + 4% --- £22

104% --- £22

100% --- \(\frac{100}{104}\) × £22 = £21.15 (rounded to nearest penny)

Answer:

£21.15 (rounded to nearest penny)

Step-by-step explanation:

Answer:

c = 32.1

b = 34.4

\(m\angle{B}=\) 47 degrees

Step-by-step explanation:

Using sine = opp/hyp. to find side c:

\(sin(43)=\frac{c}{47}=32.05392...\)

Using cosine = adj/hyp. to find side b:

\(cos(43)=\frac{b}{47}=34.37362...\)

Finding angle B:

It's a right triangle and you're given one of the acute angles, which means you can find the missing third angle. All triangles interior angles add to equal 180 degrees.

180 - (43 + 90) = 47 degrees

Answer:

64 mph

Step-by-step explanation:

Given that:

Speed for the first 3 hours = 52 mph

Average speed for 4 hours = 55 mph

To find:

Speed for the next hour = ?

Solution:

Formula for average speed is given as:

\(Average\ Speed = \dfrac{Total\ Distance}{Total \ Time \ Taken}\)

Formula for Distance:

\(Distance =Speed \times Time\)

Distance traveled in first 3 hours:

\(Distance =52\times 3 = 156\ miles\)

Let the speed for the next hour = u mph

Distance traveled in 1 hour = \(u \times 1 = u\ miles\)

Total distance traveled = (156 + u) miles

Total time = 4 hours

Average Speed = 55 mph

Putting the values in formula:

\(55 = \dfrac{156+u}{4}\\\Rightarrow 220 = 156+u\\\Rightarrow \bold{u = 64\ mph }\)

So, the answer is: 64 mph

Answer:

140/130 > 104%

Step-by-step explanation:

When you convert 140/130 to a decimal, you get 1.07 which is 107%. 107% is greater than 104%, so 140/130 is > 104%