Jada fills the bathtub before taking a bath and then allows the water to drain when she is done. The graph below models the number of gallons of water, y, in the bathtub over time, t, in minutes.

On a graph, the graph increases, remains constant, and then decreases.

Is the number of gallons of water in the bathtub a function of time?
Yes because each t value is paired with exactly one number of gallons.
Yes because the number of gallons is bounded between y = 0 and y = 36.
No because each number of gallons is paired with more than one t value.
No because from t = 5 to t = 20 the number of gallons of water is constant.

Work Shown:

tan(angle) = opposite/adjacent

tan(X) = ZY/XY

tan(X) = 32/24

tan(X) = (8*4)/(8*3)

tan(X) = 4/3

Answer:

3y = -2x + 1

Step-by-step explanation:

Equation of given line is 2y = 3x + 2

==> y = (2/2)x + 1

Slope = 3/2

Slope of perpendicular line is negative of reciprocal of given line ie slope = -2/3

So equation of perpendicular line is of the form

y = (-2/3)x + c where c is a constant

Given that this passes thru x= -1, y =1 we can substitute these values in the above to get

1  =  (-2/3)(-1) + c
This yields 1 = (2/3) + c or c = 1-2/3 = 1/3

So the equation of the perpendicular line is

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

3y = -2x + 1

Answer:

We would distribute the 5,

5(m+1) - 1 = 5m + 5 - 1

5m + 4

Step-by-step explanation:

Answer:

A. Similar - AA

Step-by-step explanation:

The AA similarity postulate states that two triangles are similar if they have two congruent corresponding angles.

The triangles in the picture have two corresponding congruent angles.

Similar triangles may or may not be congruent

The true statement is (a) Similar - AA

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

From the complete question, we have the following highlights about the triangles

The angles at points A and D are congruent (85 degrees)

The angles at points B and E are congruent (30 degrees)

This means that the triangles are similar.

The similarity theorem is the AA theorem i.e. Angle-Angle

Hence, the true statement is (a) Similar - AA

Read more about similar triangles at:

brainly.com/question/14285697

#SPJ2

Answer:

t = 110°

Step-by-step explanation:

Triangle BCD is isosceles, so its base angles are congruent. This means m<CBD = m<CDB. Since m<CBD is 35, m<CDB is also 35.

The sum of angles in a triangle is 180, so the following equation can be written:

180 = m<CBD + m<CDB + m<BCD

We can substitute m<CBD and m<CDB with 35 and m<BCD with t and solve:

[tex]180 = 35 + 35+ t\\180=70+t\\t=110[/tex]

So t = 110°

Answer:
56

Step-by-step explanation:

with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal

Step-by-step explanation:

given radius r =20÷2=10

Height h=9

volume of cylinder

v= πr^2h = 22÷7 ( 10)^2 ×(9)

= 2828.571429.

hence the required volume of cylinder is 2828.571429

Answer:

f(x) = 8x^6 + 1

Step-by-step explanation:

We want to examine which polynomial function grows larger and larger as the negative variable rises. We'll see that option d is correct: f(x) = 8x6 + 1

There are two things to keep in mind here.

The polynomial grows quicker as the exponent increases.

When a negative integer is evaluated with an even exponent, the result is always positive.

Then all the polynomials with an even leading exponent become larger and larger as x grows in the negative direction, especially the one with the biggest leading exponent, which is:

Answer:

depends on where you look

Answer:y=50x+150

Step-by-step explanation:

50x is the variable that will change the amount of money he has each week. 150 is the amount he currently has

Answer:[tex]5.25cm^2[/tex]

Step-by-step explanation:

The equation of finding the area of a triangle is 1/2 base x height so the base is 7 and the height is 1.5. The slant of the triangle doesn't change the area and those measurements are just there to confuse you. so just input the measurements to get:

1/2 x 7 x 1.5 = 3.5 x 1.5 = 5.25cm^2

The area = [tex]5.25 cm^2[/tex]

Answer:

See below ~

Step-by-step explanation:

Circle 1

Circle 2

Answer:

circumference with diameter 5=15.7m

area with diameter 5=19.625m²

Answer:

4 27/56

Step-by-step explanation:

−4 3/8 + 8 6/7

8 6/7−4 3/8

subtract whole numbers 8-4=4

combine fractions 6/7-3/8=27/56

4+27/56

=4 27/56

Answer:

yes

Step-by-step explanation:

Each batch requires   2/3 c / batch

  time 4 batches:    4 * 2/3 = 8/3 cups = 2 2/3 cups

    he has 3 cups ,  so he has enough to make 4 batches

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

               Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

❖ If lines are parallel to each other, they have the same slope.

So the slope of the line parallel to y-5=6x-10 is 6.

Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Substitute 10 for y₁, 6 for m and 4 for x₁:-

[tex]\sf{y-10=6(x-4)}[/tex]

On simplification,

[tex]\sf{y-10=6x-24}[/tex]

Adding 10 to both sides results in:-

[tex]\sf{y=6x-14}[/tex]

So we conclude that Option A is correct.

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

Answer:

las negras, 1/3 es mayor

Step-by-step explanation:

Espero te sirva <3

Answer:

Can you show me the question? Because the picture doesn't have enough datum

Answer:

  4.23 square units

Step-by-step explanation:

The area of the triangle is given by the formula ...

  K = 1/2ab·sin(C)

__

Filling in the given values, we find the area to be ...

  K = 1/2(4)(5)sin(25°) = 4.23 . . . . square units

Answer:

The answer would be fx=4(2x)

Step-by-step explanation:

have a good day!!

Answer:

8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8

Step-by-step explanation:

To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8

Answer:

22cm

Step-by-step explanation:

Formula:

MEDIAN = 1/2(B1+B2)

Solution:

30= 1/2[(x-14)+(x+2)]

x = 36 cm

B1= 36-14 = 22 cm (shorter base)

B2= 36+2 = 38 cm (longer base)

The Shorter Base is 22cm.

Answer:

Francis has $1,993.46 left of his pay stub

Step-by-step explanation:

earns $3437 dollars

42% to tax (yikes! almost half of their pay)

42% of $3437 dollars: $3437 x 0.42 = 1,443.54

Francis is paying $1,443.54 in taxes

$3437 - $1,443.54 = $1,993.46

Answer:

It is parallel to the x-axis

Step-by-step explanation:

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

Answer:

( x-7) (x-9)

Step-by-step explanation:

x^2 -16x+63

What are the possible number that multiply to 63 and add to -16

-9 * -7 = 63

-9+-7 = -16

( x-7) (x-9)

Answer:

m∠R = 72°; m∠U = 65°

Step-by-step explanation:

We know that in any quadrilateral, the total sum of the angles will always add up to 360°.

For number 26, we can use this equation to find x and m∠R:[tex]90+98+12x+4+10x-8=360\\(90+98+4-8)+(12x+10x)=360\\184+22x=360\\22x=176\\x=8[/tex]

m∠R = 10 (8) - 8 = 80 - 8 = 72°

For number 28, we can use this equation to find x and m∠U

[tex]96+88+11x+1+7x-5=360\\(96+88+1-5)+(11x+7x)=360\\180+18x=360\\18x=180\\x=10[/tex]

m∠U = 7 (10) - 5 = 70 - 5 = 65°

Answer:

First step, find the missing angle (you will need this later on)

We know that the sum of all angles in a triangle equals to 180°, so

180° - 65° - 40° = 75° *that's your angle (next to the point L)

Now, identify each side (as shown in my drawing attached to this message)

The law of sines tells us that

(for example) the side opposite to L (highlighted in pink in the drawing) divided by the sine of the angle at the point L (in our case, 75°) creates a ratio that remains the same for the other sides.

So,  

pink side (opposite to L)/ sin 75 (angle at L) = yellow side (opposite to J)/ sin 65 (angle at J) = blue side (opposite to K)/ sin 40 (angle at K)

*Careful, since we were not given the length of one side, you cannot find actual values for each side. Although, you can use the law of sines to logically find out which length is the longest and which one is the shortest.

*Notice that the sine of the angle relates to the length of the coloured sides

Calculate the following: sin 75, sin 40, sin 65.

Once you do that, you will realize that sin 40 = to the smallest value and that sin 75 gives you the largest value.

Thus, sin 40 < sin 65< sin 75

Which corresponds to (from smallest to largest):

blue side, yellow side, pink side

*Now, write your answer in a mathematical format (using J,L,K points)

blue = JL (explanation: it connects the two points, LJ is also a valid answer)

yellow = LK

pink= JK

ANSWER: JL, LK, JK

Step-by-step explanation:

Use the Law of Sines *because you don't have a right angle triangle.

Answer:

4080 hits.

Step-by-step explanation:

By proportion that would be 1700 * 24/10

= 4080.