a) Jayla says that the equation y=2*3 matches the graph Substitute the ordered pairs (from part() into the equation to prove that jayla is correct. Make sure to show ALL steps

The Solution:

The correct answers are:

Curved surface area = 527.79 squared centimeters

Total surface area = 753.98 squared centimeters.

Given that the volume of a cylinder with height 14cm is

We are required to find the curved surface area and the total surface area of the cylinder.

Step 1:

We shall find the radius (r) of the cylinder by using the formula below:

In this case,

Substituting these values in the above formula, we get

Finding the value of r by first dividing both sides, we get

Taking the square root of both sides, we get

Step 2:

We shall find the curved surface area by using the formula below:

Where

Substituting these values in the formula above, we have

Step 3:

We shall find the total surface area by using the formula below:

Where

TSA= total surface area and all other parameters are as defined earlier on.

Substituting in the formula, we get

Therefore, the correct answers are:

Curved surface area = 527.79 squared centimeters

Total surface area = 753.98 squared centimeters.

Th equation of a parabola in its vertex form is;

y = a(x-h)² + k

(h,k) are the coordinates of the vertex and a is a constant

(h, k) = (10, 9)

substitute the above into the equation

y = a(x- 10)² + 9 -------------------(1)

Next is to find the value of a

substitute x=12 and y= -7 into equation (1)

-7 = a (12 - 10)² + 9

-7 - 9 = 4a

-16 = 4a

a = -4

The equation of the parabola will be formed by substituting a = -4 in equation (1)

y = -4(x - 10)² + 9

Question:

Solution:

Remember that the total area surface of the cylinders is given by the formula:

where r is the radius of the cylinder and h is its height. Now, in this case, we have that r= 10 m and h = 5m, then replacing these values in the previous equation we obtain:

then, we can conclude that the correct answer is:

S={-5,-10,-15,-20,-25......}; these are few negative multiples of 5 as stated in the set builder form of set theory {x :x is a negative multiple of 5}.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

Set builder notation is a type of mathematical notation used to describe sets by listing their components or highlighting the requirements that each member of the set must meet. We write sets in the form of in the set-builder notation. 

{y | (properties of y)} OR {y : (properties of y)}

Here,

{x :x is a negative multiple of 5}

S={-5,-10,-15,-20,-25.....}

According to the set builder form of set theory, {x:x is a negative multiple of 5}  S={-5,-10,-15,-20,-25...}; these are a few negative multiples of 5.

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Given :

The table for y and x is given as

Explanation :

The slope-intercept form is determined as

First find the slope of the equation using the coordinates from the table.

Now substitute the values in the slope-intercept form.

Answer:

Hence the equation of line is determined as

ANSWER

Monomial

EXPLANATION

A polynomial is a expression that contains variables, coefficients and sometimes constants.

These terms relate with one another by the use of mathematical signs like addition, subtraction, multiplication, etc

A polynomial with just one term is called monomial.

An example of a polynomial is:

An example of a monomial is:

Answer:

monomial

Step-by-step explanation:

Let

x ----> rate of the boat in still water (mph)

y ---> rate of the current (mph)

Remember that

The speed is equal to dividing distance by the time

speed=d/t

d=speed*time

so

Upstream

speed=x-y

time=5 hours

100=(x-y)*5

x-y=20 --------> equation 1

Downstream

speed=x+y

time=4.5 h

100=(x+y)*4.5

x+y= 100/4.5 --------> equation 2

Adds equation 1 and equation 2

x-y=20

x+y= 100/4.5

-----------------

2x=20+(100/4.5)

2x=190/4.5

x=190/9

x=21.11 mph

therefore

Total fee = $75

Number of months = 3

Divide the total fee by the number of months

75/3 = $25 per month

Option A: The same line

The slope-intercept form of the equation of a line can be written as:

y = mx + c

Where m is the slope

and c is the intercept

Let us express the two equations given in the slope-intercept form

For the first equation:

y - 3 = 2(x - 3)

y - 3 = 2x - 6

y = 2x - 6 + 3

y = 2x - 3

The slope, m = 2

The intercept, c = -3

For the second equation:

y + 5 = 2(x + 1)

y + 5 = 2x + 2

y = 2x + 2 - 5

y = 2x - 3

We can see that both equations simplify to y = 2x - 3, this means the both equations represent the same line

Let us write out our expressions:

The trick here is to get rid of the minus, then solve the sum as usual, and add a minus to the result. Let us do that for each of them:

-29+(-7)] Step one gives us:

Step two gives us:

Step three gives us:

Then, -29+(-7) should be linked to -36.

-34+(-94)] Step one gives us:

Step two gives us:

Step three gives us:

Thus, -34+(-94) should be linked to -128.

-8+(-14)] Step one gives us:

Step two gives us:

And step three gives us:

This implies that -2+(-14) should be linked to -22.

-12+(-48)] Step one gives us:

Step two gives us:

And step three gives us:

Then, -12+(-48) should be linked to -60.

answer: 36°

The discount price of the sweater will be, the original price minus the percentage of discount of the original price.

First, express the percentage of discount as a decimal:

60% = 60/100 = 0.6

so:

The discount price of the sweater is $200

hello

the question here relates to trionometric identies and we can easily solve this once we know some of the identities

for example

Step 1

Michael spends $18 at store A

He buys x pounds of turkey and y pounds of ham.

But turkey costs $3 in-store A and ham costs $4 in-store A

Therefore, we will have the following equation for Michael

Step 2

Ashley spends $27 in-store B

She buys x pounds of turkey and y pounds of ham.

But turkey costs $4.50 in-store B and ham costs $6 in-store B.

Therefore, we will have the following equation for Ashley

Step 3

Solve the equations graphically

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations. Since the graphs are the same, then there are infinitely many solutions true for both equations.

For instance, the points if we test for the points on the graph, we will conclude if both Michael and Ashley bought the same amount of turkey and ham.

Therefore yes, Michael and Ashley could have bought the same amount of turkey and ham.

Given two equations,

Comapring both equations,

Therefore, x = 1/3.

Answer: (- 4, - 7)

Explanation:

The given equations are

y = 5x + 13

y = 2x + 1

We would equate both equations. We have

5x + 13 = 2x + 1

5x - 2x = 1 - 13

3x = - 12

x = - 12/3

x = - 4

Substituting x = - 4 into y = 2x + 1, we have

y = 2(- 4) + 1 = - 8 + 1

y = - 7

The solution is

(- 4, - 7)

She used 1/4 of the blue cloth to make her mother a apron:

She used 5/8 yd or 0.625yd of blue coth to make the apron

In order to find the original amount invested, we can use the following formula:

Where P is the final amount, P0 is the original amount, i is the interest rate and t is the amount of time invested.

So, using P = 4840, i = 10% = 0.1 and t = 2, we have:

So the original amount invested is $4,000.

The given expression is

2c(a + b)

From the information given,

a = 2

b = 5

c = 4

By substituting these values into the expression, it becomes

2 * 4(2 + 5)

= 8(7)

= 56

The value of the expression is 56

From the graph of f(x), it can be obseved that function f(x) value at x = 0 is -3, which means that f(0) = -3.

From the graph of g(x), it can be observed that g(0) = 0.

As value 0 is greater than -3. So f(0) is lesser than g(0).

Answer: f(0) < g(0)

step 1

determine the slope of the given line

y=(3/5)x-17

The slope is m=3/5

Remember that

If two lines are parallel, then their slopes are equal

that means

The slope of the parallel line to the given line is m=3/5 too

step 2

Find out the equation of the line parallel to the given line

y=mx+b

we have

m=3/5

point (-5,15)

substitute and solve for b

15=(3/5)(-5)+b

15=-3+b

b=18

therefore

The equation of the line is

When we divide a number by a power of 10, the decimal point changes its position. Specifically, the decimal points will move to the left according to the exponent of the power. For example, let's say we have the following division.

As we said before, we just have to move the decimal point to the left. In this case, we have to move it to 3 spots.

Hence, the division is equivalent to 0.542.

That's how the division works when you divide by a power of 10.

An example of situation involving quantitative comparison is:

The game-plan of an offensive coach for a NFL game.

Quantitative variables are variable that assume numbers as results, instead of labels such as yes/no or good/bad.

When an NFL offensive coordinator is game-planning, he has to consider numeric stats of the opponent defense, such as these ones:

These stats are also compared to the NFL average to verify if the weak point of the opponent defense is the run or the pass, hence the game-plan is adjusted accordingly as follows:

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Consider that the total number of fruits are 10. The probability to get some fruit is given by the quotient in between the number of suc a fruit and the total number of fruits.

Then, at the first time, the probability of getting a kiwi is:

p1 = 1/10 = 0.1 (becasue there is one kiwi)

After the kiwi is taken out, the number of fruits are 9. In this case, the probability of getting one orange is:

p2 = 3/9 = 0.33 (because there are three oranges)

THe probability of the two previous events, that is, to obtain one kwi and then one orange is the product of the probabilities p1 and p2:

P = p1*p2 = (0.1)(0.33) = 0.03

Hence, the probabilty is approximately 0.03

Z- Score formula is:

Here, the mean is 86, while the standard deviation is 2.2

Percent between 83.8 and 92.6 is;

Percent score below 83.8 is 0.15866

We know that

• 1 cubic foot holds 7.48 gallons of water.

• 1 gallon of water weighs 8.33 pounds.

The given information is about ratios that we must use to find the answer. Remember that a ratio is a quotient between two magnitudes, that means each statement above represents a fraction which must multiply "6 cubic feet" in order to get the answer. As follows

Therefore, 6 cubic feet weighs 373.85 pounds.

On the other hand, 1 ton is equivalent to 2000 pounds. Knowing this, we calculate

Therefore, 6 cubic feet weighs about 0.19 tons.

Given

The shaded region is

Option C

We have the expression:

We solve as follows:

If we want to simplify further, we will get:

***

In order to simplify the expression:

We multiply 2 times x and add 2 times -4, that is:

Now, we multiply 2 times -4 in both sides, that is:

The ways in which the graph of f(x) = (x + 7)^3 − 8 compare to the parent function g(x) = x^3 are as follows:

In Mathematics, the translation a geometric figure to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Geometry, g(x + 7) simply means shifting a graph 7 units to the left while subtracting 8 from the function simply means moving the graph down.

In this context, we can reasonably infer and logically deduce that the parent function g(x) was shifted 7 units to the left and 8 units down.

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We have the following:

solving:

Therefore, the answer is [B] 12