Is the following relation a function? Justify your answer.
y
X
6
-1.
4
2
-1
3
O No, because there is an input value with more than one output value
O No, because there is an output value with more than one input value
Yes, because each input value has only one output value
Yes, because each output value has only one input value

Answer: The logical symbol for that sentence isV

Answer:

At 4 hours both options will be $16.00

Step-by-step explanation:

1. the sequence is:

500, 250, 125, ...

the common ratio (r) is:

250/500 = 1/2 = 0.5

125/250 = 1/2 = 0.5

So, the sequence is a geometric sequence.

Explicit formula:

Recursive formula:

2. In the formulas, n represents days. Using the explicit formula with an = 1, we get:

then, after 10 days there will be less than 1 skittle in the bag

the 2 angles are equal so both are 148

Percent of the scores are less than​ 19 is  45.4%.

591 many would be expected to be greater than​ 21.

A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme.

(a) μ = 19.6, σ = 5.2

First, find the z-score.

z = (x − μ) / σ

z = (19 − 19.6) / 5.2

z = -0.115

To calculate the probability, use a chart or calculator.

P(Z < -0.115) = 0.454

45.4 % of the scores are under 19.

(b) First, find the z-score.

z = (x − μ) / σ

z = (21 − 19.6) / 5.2

z = 0.269

To calculate the probability, use a chart or calculator.

P(Z > 0.269) = 1 − P(Z < 0.269)

P(Z > 0.269) = 1 − 0.606

P(Z > 0.269) = 0.394

Among the scores, 39.4% are higher than 21.  

There are 1500 scores, therefore 591 represent 39.4% of those.

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Answer:

30 baseballs and basketballs

Hope I helped

Step-by-step explanation:

21 divided 7 = 3 times 3 = 9 plus 21 = 30 baseballs and basketballs in total.

Answer:9:21

Step-by-step explanation: 3*3=9 and 7*3=21

Answer:

See below

Step-by-step explanation:

The three angles sum to 180 degrees

4x + 3x + 8x = 180

15x = 180

x = 12

So the obtuse angle would be  8x

     8 * 15 = 120°

The total average decrease in the stock after 6 weeks is represented by 6|−17| = 102 dollars.

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The two trains will be a distance of 1049 km apart after 1:30 pm.

Velocity v is given by the distance d divided by the time t, hence according to the following rule:

v = d/t.

In the context of this problem, both trains are moving in the opposite direction from the station, hence their distance will be the sum of the distances of each train from the station.

The velocity equation can be solved for the distance as follows:

d = vt.

For train X, the velocity and the time are given as follows:

Hence the distance that the train X will be from the station at 1:30 pm is given by:

dX = 144 x 3.75 = 540 km.

For train Y, the velocity and the time are given as follows:

Hence the distance that the train Y will be from the station at 1:30 pm is given by:

dY = 165 x 3.0833 = 509 km.

Then the distance between both trains is given by:

d = dX + dY = 540 km + 509 km = 1049 km.

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Answer:

......................................

Step-by-step explanation:

Answer:

Step-by-step explanation:

For the given function,

Since it is an exponential function,

Answer:

A

Step-by-step explanation:

Corresponding sides of similar figures have proportional side lengths.

Answer:

Step-by-step explanation:

The area of a trapezoid is A=(a+b/2)*h

So if you plug in what you know
3/4x-1/4 = (a+b/2)h

You would need the height but if you do have the height you can plug that in then just add a and b together as one variable so you can make a pair that equals that.

We will investigate the equivalence of fractions.

We have the first statement as follows:

We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:

We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:

Simplify the above fraction as follows:

The next statement is given as such:

We will go ahead and decrypt the above statement mathematically by the use of fractions as follows:

We will now use the conversion of division operator to a multiplication operator by reciprocating the denominator as follows:

Simplify the above fraction as follows:

If we compare the results of two statement we can say that the statements are not equal.

The expression that can be used to represent the estimated cost for the party is T =si

It should be noted that expression show the relationship between variables. We can get an estimated cost for the party by using the following expression:

T = s×i

where:

T = total cost of the ice cream party

s = number of ninth students

i = unit cost of ice cream

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As a reward for achieving their goals, all students in the ninth grade are invited to an ice cream party.

1) Write an expression that could represent an estimated cost for the party. Use at least one letter. State what each part of the expression represents.

Answer:

(-7, 3)

Step-by-step explanation:

Since the endpoints of the interval are not included, use parentheses.

a) Value of invest when compounded annually= $72878.67

b) Value of invest when compounded semi-annually is $73420.12

c) Value of invest when compounded monthly is $73896.35

EXPLANATION

a)Annually

Given:

Principal(p)= 49600

rate (r) = 8% = 0.08

time(t) =5

Since it is compounded anually, n=1

Using the formula;

Substitute the value and evaluate.

Therefore, the value of the investment when compounded annually is $72878.67

b) Semi-annually

In this case, the we are going to substitute all our initial values except for n.

In the case of semi annually, n= 2

That is;

Principal(p)= 49600

rate (r) = 8% = 0.08

time(t) =5

n=2

Substitute into the formula and evaluate.

Therefore, the value of the investment when compounded semi-annually is $73420.12

c)monthly

In this case n= 12 and all other values remains the same.

That is;

Principal(p)= 49600

rate (r) = 8% = 0.08

time(t) =5

n=12

Substitute the values into the formula and evaluate.

Therefore, the value of the investment when compounded monthly is $73896.35

The factors of the given polynomial are (x² +6) (x +1) =0.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). A sizable subset of algebraic expressions are polynomials. Polynomials are any expressions where the powers of the variables are all whole numbers. They frequently have a wide range of applications since they encompass such a sizable portion of all algebraic expressions.

Given Data

Polynomial

x ³+ x²+6x +6

Factorizing,

x²(x +1) + 6(x+1) =0

(x² +6) (x +1) =0

Option C) is correct.

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A linear equation that models the price-sales relationship for this toy is   y = -500x + 5000

In this question, we need to find a linear equation that models the price-sales relationship for this toy.

We have been given that the line passes through (6, 2000) and (8, 1000)

Using the formula for the two-point form of equation of line,

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 2000)/(1000 - 2000) = (x - 6)/(8 - 6)

(y - 2000)/(-1000) = (x - 6)/2

2(y - 2000) = -1000(x - 6)

y - 2000 = -500(x - 6)

y = -500x + 3000 + 2000

y = -500x + 5000

Therefore, a linear equation that models the price-sales relationship for this toy is y = -500x + 5000

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The seller's marked up price is 0% of 279.30 cost is  279.30

For the seller,

The cost price of the T.V. is $210.00

The selling price of the T.V. is $279.30

If the seller's mark up the price 33% of 210 cost.

The marked up price = 210 + 33% of 210

= 210 + (33/100) x 210

210 + 0.33 x 210

210 + 69.3

Therefore, the seller's marked up price was 33% of 210 cost is  279.30

Percent markup on the selling price of 279.30 is

279.30 + x% of 279.30 = 279.30

(x/100) 279.30 = 0

x = 0

Therefore the seller's marked up price is 0% of 279.30 cost is  279.30

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Answer:

distance between the points (3,4) and (1,5) = 2.236

Step-by-step explanation:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]'

For:

[tex](X1, Y1) = (3, 4)\\\\(X2, Y2) = (1, 5)[/tex]

[tex]d = \sqrt {(1 - 3)^2 + (5 - 4)^2}\\\\d = \sqrt {(-2)^2 + (1)^2}\\\\d = \sqrt {{4} + {1}}\\\\d = \sqrt {5}\\\\d = 2.236068[/tex]

Answer:

Exact distance is [tex]\sqrt{5}[/tex]

Approximate distance is  2.2361

Round the decimal value however your teacher instructs.

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

Work Shown:

I used the distance formula to get the following.

[tex](x_1,y_1) = (3,4) \text{ and } (x_2, y_2) = (1,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-1)^2 + (4-5)^2}\\\\d = \sqrt{(2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.2361\\\\[/tex]

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

A slight alternative is to plot the points A(3,4) and B(1,5) and C(3,5).

Points A and B are the original points we were given. Point C helps form a right triangle. The hypotenuse is AB and the legs are AC and BC.

Leg AC = 1 unit and leg BC = 2 units

Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 1 and b = 2 to find that the hypotenuse is exactly [tex]c = \sqrt{5}[/tex] units long, which is the distance from A to B.

The correct option is g(x) is shifted 3 units left and 9 units up, for the given graph of function f(x) = x².

For the given question,

The graph of the parent function is f(x) = x².

To from the vertex form of a function is g(x) = (x-3)² +9, the process is-

Thus, the vertex of the function is g(x) = (x-3)² +9 is formed by translation of g(x) is shifted 3 units left and 9 units up.

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Answer: We have to find the length and the width of the rectangle provided that the perimeter is 44m:

Therefore using the information provided and plugging in the equation (1) we get the following answer:

Answer:

12/5

Step-by-step explanation:

Find the y-intercept form of the line by isolating y:

x + 5y = 12

5y = -x + 12

5         5

y = (-1/5)x + 12/5

y = mx + b

In this form, 12/5 is b, which is the line's y-intercept.

The line connecting the points on the graph is shown below:

From it we notice that to get to the first point of the lineto the second we need to:

• Move down 6 squares; since each square has a length of 2 units this means that we move 12 units down.

• Move 5 units to the right.

Therefore, we have that:

and that:

Answer:

3029

Step-by-step explanation:

The question can be solved as follows:

Hence the value of the given expression in scientific notation is expressed as:

Solution

Step 1

Trace 30mm per bacteria to the corresponding hour on the graph

From the traced line 30 bacteria per mm corresponds to 6 hours

Answer:

[tex] 17\frac{1}{2} [/tex]

Step-by-step explanation:

Explanation in the photo.

Given:

Above equation is the slope intercept form.