4. Which of the following is parallel to the line y = 1 +1 ?
A. y=-x+1
B.y= x - 9
C.y= x - 7
D. y=-3x+1
=

Step-by-step explanation:

To solve the equation for s we've got to leave s alone

\(n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s\)

Answer:

22

Step-by-step explanation:

We are given the expression:—

\(\displaystyle \large{5n-3}\)

When n = 5, substitute/change n to 5:—

\(\displaystyle \large{5(5)-3}\)

Evaluate:—

\(\displaystyle \large{25-3=\boxed{22}}\)

__________________________________________________________

Summary

  Substitution

Changing or replacing from a term to another terms/expression is called substitution.

Examples:—

If we are given the expression \(\displaystyle \large{2y-1}\) and we want to find the value when y = 4, simply replace y-term to 4.

\(\displaystyle \large{2(4)-1=8-1=\boxed{7}}\)

__________________________________________________________

If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!

Check the picture below, so the ellipse looks more or less like so.

\(\textit{ellipse, vertical major axis} \\\\ \cfrac{(x- h)^2}{ b^2}+\cfrac{(y- k)^2}{ a^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=3\\ k=-8\\ a=5 \end{cases}\implies \cfrac{(x-3)^2}{b^2}+\cfrac{(y-(-8))^2}{5^2}=1 \\\\\\ \stackrel{\textit{we also know that}~\hfill }{c=3\hspace{3.5em} 3=\sqrt{5^2 - b^2}} \implies 3^2=5^2-b^2\implies b=\sqrt{5^2-3^2} \implies \boxed{b=4} \\\\\\ \cfrac{(x-3)^2}{4^2}+\cfrac{(y-(-8))^2}{5^2}=1\implies \cfrac{(x-3)^2}{16}+\cfrac{(y+8)^2}{25}=1\)

The coordinates of the vertices for the image is A′(−3, 6), B′(0, 10), C′(−3, 3).

The vertices of the preimage triangle ABC are given as A(-3,3), B(0,7), and C(-3,0). To translate the preimage 3 units up, we need to add 3 to the y-coordinate of each vertex. Therefore, the vertices of the image triangle A'B'C' will be A'(-3,6), B'(0,10), and C'(-3,3). Thus, option B, A′(−3, 6), B′(0, 10), C′(−3, 3), is the correct answer.

To check the answer, we can plot the points on a coordinate plane and observe that the image triangle is obtained by moving the preimage triangle 3 units up. Translation is a type of transformation in which the position of a figure is changed without changing its shape or orientation.

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Answer:

See Explanation

Step-by-step explanation:

1.

What happens when negative adds to negative; e.g (-a) + (-b)

First, we need to simplify the expression

\((-a) + (-b)\)

Open the brackets

\(-a - b\)

Factorize

\(-(a+b)\)

So, what happens is that: the two numbers are added together and the result is negated;

E.g.

\((-5) + (-3) = -(5 + 3) = -8\)

2.

What happens when positive is added to negative; e.g. a + (-b)

First, we need to simplify the expression

\(a + (-b)\)

Open the brackets

\(a - b\)

So, what happens is that: the negative number is subtracted from the positive number

And Yes; \(a + (-b)\) is the same as \(a - b\) (As shown above)

E.g.

\(5 + (-3) = 5 - 3 =2\)

3.

What happens when to positive minus a negative; e.g. a - (-b)

First, we need to simplify the expression

\(a - (-b)\)

Open the brackets

\(a + b\)

So, what happens is that; the two numbers are added together.

E.g.

\(5 - (-3) = 5 + 3 = 8\)

4.

What happens when negative minus a negative; e.g. (-a) - (-b)

First, we need to simplify the expression

\((-a) - (-b)\)

Open the brackets

\(-a + b\)

Reorder

\(b - a\)

So, what happens is that; the first number is subtracted from the second.

E.g.

\((-5) - (-3) = 3-5 = -2\)

Answer:

A=40.8 B=8

Step-by-step explanation:

A Explanation

£7.20*3=£21.6

£9.60*2=£19.2

19.2+21.6=40.8

B Explanation

£9.60*3=£28.8

86.40-28.8=57.6

57.6/7.20=8

Step-by-step explanation:

okay, plot a point at (0,-5) then count 3 units up and 5 units to the right and put a point there

connect the points with a straight line

add arrows to each end of the line :)

The total surface area of the cylinder is 157 square feet.

Given the radius of the cylinder = 4 inches

height of the cylinder = 9 inches

Total surface area is calculated by the formula:

A = 2πr² + 2πh

A = 2 × 3.14 × 4² + 2 × 3.14 × 9

or, A = 157 square feet.

Therefore the total surface area of the cylinder is 157 square feet.

The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.

The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.

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Answer: 64

Step-by-step explanation:

43 = (4)(4)(4)

=64

OR

4x4x4=64

Answer:

16 feet and 7 inches

Step-by-step explanation:

To find how tall the bamboo is now, first add the number of feet together:

10 + 5

= 15

Then, add the inches:

7 + 12

= 19

This can be converted to 1 foot and 7 inches.

Then, add 15 to this:

= 16 feet and 7 inches

So, the bamboo is now 16 feet and 7 inches tall

The current height of the bamboo is given as 16 feet 7 inches tall.

Given that,
A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
4 weeks ago the height of the bamboo = 10 ft 7 in
It increase by 5 ft 12 or 6 ft since then
Current height  = 10.7 + 6 = 16.7 or 16 ft 7 in

Thus, the current height of the bamboo is given as 16 feet 7 inches tall.

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Answer: A. 30 students in the lunchroom.

Step-by-step explanation:

A representative sample simply refers to the sample that has same characteristics just like the population.

A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".

When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.

Answer:

30 students in the lunchroom

Step-by-step explanation:

Got it right on the test.

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

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Answer:

I think its C

Step-by-step explanation:

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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Answer:

Max has 30 cards

Step-by-step explanation:

C:M

3x:x

Conner has 90 trading cards

3x=90

divide by 3

x=30

this means that Max has 30 cards

Answer:

The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Step-by-step explanation:

To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:

6kg of potatoes for $ 2.45:

2.45 / 6 = 0.408

15 kg of potatoes for $ 5.9:

5.90 / 15 = 0.393

10 kg of potatoes for $ 3.92:

3.92 / 10 = 0.392

Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Hi!

The coefficient of x is known as the slope, and that can be represented as rise/run, and in this example is it 1/4, therefore your rise is 1.

Hope this helps! :D

Answer:

Step-by-step explanation:

We know that:

Let's compare the slope and its formula.

Work:

Hence, the rise of the slope is 1.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

Given the equation model 4x+(-4) = -2x+8

To find the value of x, the following steps must be followed

\(4x+(-4) = -2x+8\\4x-4 = -2x+8\\subtracting\ 8\ from\ both\ sides\\4x-4-8=-2x+8-8\\4x-12=-2x\\4x+2x=12\\6x=12\\x=\frac{12}{6}\\ x = 2\)

The value of x is 2

Question:

The model below represents 4x + (-4) = -2x + 8.

4 long green tiles and 4 square red tiles = 2 long red tiles and 8 square green tiles.

What is the value of x when solving the equation 4x + (-4) = -2x + 8 using the algebra tiles?

x = -4

x = -2

x = 2

x = 4

Answer:

x = 2

Step-by-step explanation:

Given

4x + (-4) = -2x + 8 which represents a model of coloured tiles of various lengths (shapes)

Required

Find x

To find x, we'll solve the expression 4x + (-4) = -2x + 8 using the knowledge of algebra.

4x + (-4) = -2x + 8

Open bracket

4x - 4 = -2x + 8

Collect like terms

4x + 2x = 4 + 8

Perform addition arithmetic operation on both sides of the equation

6x = 12

Multiply both sides by ⅙

⅙ * 6x = ⅙ * 12

x = 2

Hence, the value of x that satisfies the expression 4x + (-4) = -2x + 8 is 2

Answer:

\( z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809\)

And if we use the normal standard distribution or excel we got:

\( P(z<-0.809) = 0.209\)

Step-by-step explanation:

For this case we have the following info given:

\( \mu = 19\) represent the mean

\( \sigma = 7\) represent the standard deviation

\( n = 106\) represent the sample size

The distribution for the sample size if we use the central limit theorem (n>30) is given by:

\( \bar X \sim N(\mu , \frac{\sigma}{\sqrt{n}})\)

And for this case we want to find the following probability:

\( P(\bar X< 18.45)\)

And for this case we can use the z score formula given by:

\( z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing we got:

\( z =\frac{18.45-19}{\frac{7}{\sqrt{106}}}= -0.809\)

And if we use the normal standard distribution or excel we got:

\( P(z<-0.809) = 0.209\)

To complete the table, we need to calculate the value resulting from the $14,000 investment with a 4% interest rate for 5 years under the given compounding options.

a. Daily compounding:

To calculate the value with daily compounding, we use the formula:

Value = Principal × (1 + (Rate / n))^(n × Time)

In this case, the principal (P) is $14,000, the rate (R) is 4% (or 0.04), the time (T) is 5 years, and the compounding period (n) is 365 (since it's daily compounding).

Value = 14000 × (1 + (0.04 / 365))^(365 × 5)

Calculating this value will give you the result for the daily compounding option.

b. Continuously compounding:

To calculate the value with continuous compounding, we use the formula:

Value = Principal × e^(Rate × Time)

In this case, the principal (P) is $14,000, the rate (R) is 4% (or 0.04), and the time (T) is 5 years.

Value = 14000 × e^(0.04 × 5)

Calculating this value will give you the result for the continuously compounding option.

Please note that e represents the mathematical constant approximately equal to 2.71828.

The would be whatever you get.

Answer:

i think the answer is d because if you look at the 60 degree angle then angle x is just a little smaller so you go for the biggest number that is not over 60

Step-by-step explanation:

Answer:

HL

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

just read through the answer choices and you can see that the other three are wrong

Answer:

Step-by-step explanation:

you multiply a positive with a negative=negative (3)(-3)=-9

(-9)(-2)=+18(4)=72 positive

a

Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer: -5057 if im wrong let me know

Answer:

-5057

Step-by-step explanation:

Simplify the expression:

-1083 + 3974

-1083 - 3974

-5057

Answer: x = 4

Step-by-step explanation:

Given equation

7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5

Combine like terms on both sides

(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5

4x + 14/3 - 17 = 2x + 2/3 - 5

Subtract 2/3 on both sides

4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3

4x + 12/3 - 17 = 2x - 5

4x + 4 - 17 = 2x - 5

4x - 13 = 2x - 5

Add 13 on both sides

4x - 13 + 13 = 2x - 5 + 13

4x = 2x + 8

Subtract 2x on both sides

4x - 2x = 2x + 8 - 2x

2x = 8

Divide 2 on both sides

2x / 2 = 8 / 2

\(\boxed{x=4}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Yes

Step-by-step explanation:

Answer:

no answer

Step-by-step explanation:

not enough info