Which of the following are functions?
1. y= -3/2x
2. x= 2y - 5
3. x^2 + y^2 = 16

Answer:

2*10^-4

Step-by-step explanation:

0.02*0.01

125 and 216 are two perfect cubes

Answer: 5/10 or 1/2 or .5 for fractions multiplied by = -2.125 as decimal

Step-by-step explanation:

pls mark brainlist

Answer:

5/10 or 1/2 or .5 for fractions multiplied by =-2.

Each dose will contain 15 ml volume of liquid.

The container will last for 16 days.

Volume is a measurement of three-dimensional space that is occupied.   Numerous imperial units or SI-derived units, such as the cubic meter, gallon, quart, cubic inch and liter, are frequently used to quantify it numerically .

The unitary method involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?

When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other.

Inverse variation is the direct variation's opposite. A quantity's value decreases if we raise the other quantity, and vice versa.

Given data:

Volume of Celexa oral solution container = 240 ml.

Concentration of Celexa oral solution(m/v) = 10 mg/ 5 ml.

Dosage for one day = 30 mg.

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The equation of the line though the point (−4,−1) and perpendicular to the line y=25x+7 is y = -(1/25)*x - 21/25

We want to find a line perpendicular to y = 25x + 7, then the slope of our line must be the inverse of the opposite of 25, this is:

a = -(1/25)

Then our line is something like:

y = -(1/25)*x + b

And we want this to pass through (-4, -1), then:

-1  =-(1/25)*-4 + b

-1 = 4/25 + b

-1 + 4/25 = b

-25/25 + 4/25 = b

-21/25 = b

We conclude that the linear equation is:

y = -(1/25)*x - 21/25

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Answer:

11000

Step-by-step explanation:

I=(PxRxT)/100

I=(10000x20x1)/100x2

I=200000/200

I=1000

TA=10000 + 1000

Total Interest = 11000

Answer:

675ft

Step-by-step explanation:

15*45=675

Answer:

a) constant of proportionality = 196

b) constant of proportionality represents the speed of the airplane in miles per hour

Step-by-step explanation:

The proportionality relationship is

y ∝ x where y = distance flown in miles and x is time in hours

This can be modeled as an equation
y = k. x  where k is the constant of proportionality

The equation given is y = 195x so 195 is the constant of proportionality , it is basically the speed of the airplane in mph

Answer: if my math is correct i think its b

Step-by-step explanation:

The correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

It is given that Tina needs to purchase a refrigerator as replacement for $1100.

The monthly periodic rate if balance is not paid by the second month = 1.2 %

The amount she paid by the second month = $500

The due amount is :

= 1100 - 500

= $600

This amount she decided to pay by end of fourth month or after two more months.

Let's assume the amount she had to pay now at the end of fourth month is x then it given by :

= 600 + ( 600 × [tex]\frac{1.2}{100}[/tex] × 2)

= 600 + ( 12 × 1.2 )

= 600 + 14.4

= $ 614.4

Therefore , the correct option is option C that is the due amount which Tina needs to pay at the end of fourth month is $ 614.4.

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Answer:26

Step-by-step explanation:

x - .35x = 16.90

x(1 - .35) = 16.90

x(.65) = 16.90

x = 16.90/.65

x = $26

According to the given statement;

If ​P(A)=0.9​, ​P(B)​=0.1, and A and B are​ independent, ​ P(A and​ B)=0.09

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a proposition is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. A straightforward illustration is tossing a fair (impartial) coin. Since there are no other possible outcomes and the coin is fair, the odds of both the outcomes, "heads" and "tails," are equally likely to occur. As a result, the probability of either outcome is half.

According to the given value;

P(A) = 0.9

P(B) = 0.1

A and B independent;

We know that independent

P(A∩B) = P(A) · P(B)

             = (0.9)*(0.1)

             =0.09

P(A∩B) =0.09

hence, If ​P(A)=0.9​, ​P(B)​=0.1, and A and B are​ independent, ​ P(A and​ B)=0.09

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Based on the relationship between the age of a tree and the inches in diameter, the age of a tree with 12 inches diameter is 100 years old.

The relationship between the age of a tree and the length of its diameter is such that from 4 inches in diameter, the age of the tree increases by 10 years for every 1 inch increase in diameter.

The last number of years shown in the table is 60 years which corresponds with 8 inches.

The number of years that a 12 inch tree would be is:

9 inches = 70 years

10 inches = 80 years

11 inches = 90 years

12 inches = 100 years

In conclusion, the tree would be 100 years.

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From the given geometry, it can be concluded that line 'a' and 'b' are parallel.

What do you mean by geometry?

Geometry is a discipline of mathematics concerned with the study of the sizes, forms, locations, angles, and dimensions of objects.

The area of mathematics that studies the characteristics, measurement, and spatial relationships of points, lines, planes, and figures.

From the geometry, the angles 19 and 22 are consecutive converse exterior angles when line 'a' and 'b' is cut through a transversal 'e'. And their sum is 180°. So, lines 'a' and 'b, are parallel.

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If the perimeter of  rectangle is 312 feet,

The length and width of the rectangle are 132 feet and 24 feet

let the width of the given rectangle be x feet

then as per the information provided in the question , the length of rectangle is 6x-12 feet

the parameter of the rectangle is the two times the sum of its length and breath = 2(l+ b)

We are already provided with the parameter of the rectangle as 312 feet

So, let us put the value of length and breath along with the parameter in the formula

312= 2( (6x-12) + x

312= 2( 6x-12 + x)

312= 2(7x-12)

312= 14x - 24

312+24 =14x

336=14x

therefore x= 24

Hence, the length and width of the rectangle are 132 feet and 24 feet

the perimeter of  rectangle, we add the lengths of all four sides. Since opposite sides of a rectangle are always equal, we need to find the dimensions of length and width to find the perimeter of a rectangle.

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In multiplication when bases are same, the powers are added. So the answer after simplifying is d) -24a^3b^7

Product of  (3a^2b^4)*(-8ab^3)

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition of groups of equal sizes. While solving multiplication problems, one-digit numbers can be multiplied in a simple way by using the multiplication tables, but for larger numbers, we split the numbers into columns using their respective place values, like ones, tens, hundreds, thousands, and so on.

The multiplication formula is expressed as, Multiplicand × Multiplier = Product; where:

Multiplicand: The first number (factor).

Multiplier: The second number (factor).

Product: The final result after multiplying the multiplicand and multiplier.

(3a^2b^4)*(-8ab^3)= -24a^3b^7

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Using proportions, it is found that:

a) They can paint 2.8 pictures in one hour.

b) The rate per hour is of 131.2 magazines.

c) The unit rate is of 0.86 problems per minute.

d) He can make 92.5 tacos in one hour.

e) He walks 3.75 miles in one hour.

The code is of 148.79.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

A unit rate is given by amount or fraction divided by time. Hence, for item a, it is given as follows:

4/5/(2/7) = 4/5 x 7/2 = 2.8.

They can paint 2.8 pictures in one hour.

For item b, we have that:

328/2.5 = 131.2.

The rate per hour is of 131.2 magazines.

For item c, we have that:

15/17.5 = 0.86.

The unit rate is of 0.86 problems per minute.

For item d, we have that:

185/2 = 92.5.

He can make 92.5 tacos in one hour.

For item e, we have that:

0.75/0.2 = 3.75.

He walks 3.75 miles in one hour.

For the code, the letters are given as follows:

E = 3.75, B = 131.2, D = 92.5, A = 2.8, C = 0.86.

Hence the code is given by:

E(B - D) + (A + C) = 3.75(131.2 - 92.5) + (2.8 + 0.86) = 3.75(38.7) + 3.66 = 145.13 + 3.66 = 148.79.

The code is of 148.79.

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If eleven subtracted from eleven times a number is -66, the unknown number is -5

Given the data in the question;

First we translate the statement into an algebraic expression and solve for the unknown number.

Let x represent the unknown number.

Translation

Now, we combine.

11x - 11 = - 66

Solve for x

Add 11 to both sides

11x - 11 + 11 = - 66 + 11

11x = -55

x = -55/11

x = -5

Therefore, if eleven subtracted from eleven times a number is -66, the unknown number is -5

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Answer:

Step-by-step explanation:

First, distribute the -2 to the p and +1 in the parentheses.

9-2(p+1)=4(p-8)

9-2p-2=4(p-8)

Then on the other side do the same thing distributing the 4 to the p and -8.

9-2p-2=4(p-8)

9-2p-2=4p-32

Now isolate the variable p by adding 2p to each side

9-2p-2=4p-32

9-2=6p-32

From here you subtract 9 from 2 and then add 32 to both sides.

7=6p-32

39=6p

finally you divide both sides by 6 to get p.

39/6=p

6.5=p

The possible endpoints are: (i) A(x, y) = (6, - 2) and B(x, y) = (3, 5), (ii) A(x, y) = (4, 4) and B(x, y) = (6, - 4).

In this problem we know the location of the midpoint and the line segment ratio. There are two posibilities according to the definition of line segment ratio:

AX / BX = 2 / 3   (1)

BX / AX = 2 / 3   (2)

And now we solve for each case:

Case 1

X(x, y) = A(x, y) + (2 / 5) · [B(x, y) - A(x, y)]

X(x, y) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

(4.8, 0.8) = (3 / 5) · A(x, y) + (2 / 5) · B(x, y)

(4.8, 0.8) = 0.6 · A(x, y) + 0.4 · B(x, y)

(4.8, 0.8) - 0.6 · A(x, y) = 0.4 · B(x, y)

(12, 2) - 1.5 · A(x, y) = B(x, y)

B(x, y) = (12, 2) - 1.5 · A(x, y)

Now we proceed to check each choice:

A(x, y) = (6, - 2)

B(x, y) = (12, 2) - 1.5 · (6, - 2)

B(x, y) = (3, 5)    TRUE

A(x, y) = (6, 2)

B(x, y) = (12, 2) - 1.5 · (6, 2)

B(x, y) = (3, - 1)   FALSE

A(x, y) = (8, 1)

B(x, y) = (12, 2) - 1.5 · (8, 1)

B(x, y) = (0, 0.5)  FALSE

A(x, y) = (2.4, 0.4)

B(x, y) = (12, 2) - 1.5 · (2.4, 0.4)

B(x, y) = (8.4, 1.4)  FALSE

A(x, y) = (4, 4)

B(x, y) = (12, 2) - 1.5 · (4, 4)

B(x, y) = (6, - 4)     TRUE

A(x, y) = (1.8, - 1.2)

B(x, y) = (12, 2) - 1.5 · (1.8, - 1.2)

B(x, y) = (9.3, 3.8)  FALSE

Case 2

X(x, y) = B(x, y) + (2 / 5) · [A(x, y) - B(x, y)]

X(x, y) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)

(4.8, 0.8) = (2 / 5) · A(x, y) + (3 / 5) · B(x, y)

(4.8, 0.8) = 0.4 · A(x, y) + 0.6 · B(x, y)

(4.8, 0.8) - 0.4 · A(x, y) = 0.6 · B(x, y)

(12, 2) - 0.667 · A(x, y) = B(x, y)

B(x, y) = (12, 2) - 0.667 · A(x, y)

Now we proceed to check each choice:

A(x, y) = (6, - 2)

B(x, y) = (12, 2) - 0.667 · (6, - 2)

B(x, y) = (8, 3.334)             FALSE

A(x, y) = (6, 2)

B(x, y) = (12, 2) - 0.667 · (6, 2)

B(x, y) = (8, 0.667)             FALSE

A(x, y) = (8, 1)

B(x, y) = (12, 2) - 0.667 · (8, 1)

B(x, y) = (6.664, 1.333)      FALSE

A(x, y) = (2.4, 0.4)

B(x, y) = (12, 2) - 0.667 · (2.4, 0.4)

B(x, y) = (10.399, 1.733)     FALSE

A(x, y) = (4, 4)

B(x, y) = (12, 2) - 0.667 · (4, 4)

B(x, y) = (9.332, - 0.668)   FALSE

A(x, y) = (1.8, - 1.2)

B(x, y) = (12, 2) - 0.667 · (1.8, - 1.2)

B(x, y) = (10.8, 2.8)            FALSE

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Answer:

$37.12

Step-by-step explanation:

Total cost = $3.50(350/33) = $37.12

Answer: 0.8, 0.98, 7.9, 8.6

Step-by-step explanation:

The only possible equation of the drawn line is: y - 2 = 1/2(x + 4)

The rest options are not equations of the drawn line.

The equation, y - b = m(x - a), is the point-slope form of any given line where m is the slope of the line and any point on the line is given as (a, b).

Slope (m) = rise/run.

Find the slope (m) of the graph at the right.

Slope (m) = rise/run = 1 units/2 units

Slope (m) = 1/2.

Any possible equation of the line should have a slope of 1/2.

y - 2 = 1/2(x - 4), y - 2 = 1/2(x + 4), and y - 4 = 1/2(x - 2) are the only equations that has a slope of 1/2.

Using a point on the line, say (0, 3), substitute x = 0 and y = 3 into each of the three equations to check if the equation is true.

y - 2 = 1/2(x - 4)

3 - 2 = 1/2(0 - 4)

1 = -2 [not true]

y - 2 = 1/2(x + 4)

3 - 2 = 1/2(0 + 4)

1 = 2 [not true]

y - 4 = 1/2(x - 2)

3 - 4 = 1/2(0 - 2)

-1 = -1 [true]

Therefore, the only possible equation of the drawn line is: y - 2 = 1/2(x + 4)

The rest 4 equations are not equations of the drawn line.

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The surface area of the given cuboid is 48ft².

The formula for the Surface area of a cuboid: 2(lw + wh +lh)

Now, substitute values in the formula as follows:

Therefore, the surface area of the given cuboid is 48ft².

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The measured height in feet of the base to its highest peak is 18045.5 feet

The given parameter is

Length of the base to its highest peak = 5500 meters

As a general rule

1 meter = 3.281 feet

So, we have:

Length of the base to its highest peak = 5500 * 3.281 feet

Evaluate the product

Length of the base to its highest peak = 18045.5 feet

Hence, the measured height in feet of the base to its highest peak is 18045.5 feet

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