A scientist cools some water at a constant rate. The graph and table show
how the temperature of the water changes with time.
Which function models this situation?
Water Temperature.
55
50
45
40
35
30
25
20
15
10
4
5 6
7
8
Time (minutes)
Temperature (°C)
..
5
9 10

If the ratio of a basketball players completed free throws to attempted free throws is 9 to 12. If she attempted 20 free throws, the number of  free throws she completed is 27 free throws.

Given data:

Attempted free throws = 9 to 12

Free throws = 20

Formulate

9/12= 20/x

Cross-multiply

9x = 20× 12

9x = 240

Divide both side by 9x

x = 240/9

x = 26.6

x = 27 free throws (Approximately)

Therefore the free throws is 27.

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Answer: 192

Step-by-step explanation:

192

Answer:

6(32)

6x32

192

explanation:

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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exponential formula:

where a and b are two constants.

Replacing with x = 0, and y = 1, we get:

Replacing with a = 1, x = 1, and y = 3, we get:

Then, the equation is:

This result can be checked with the other points of the table.

When x = 2,

When x = 3,

Given:-

\( \: \)

\( \: \)

To find:-

\( \: \)

\( \underline{ \sf \: 1 ] \: f ( x ) = 2x + 3}\)

now , put the value of x = -2 in eqⁿ

\( \sf{↣f ( x ) = 2x + 3}\)

\( \sf{↣ f ( -2 ) = 2( -2 ) + 3}\)

\( \sf{↣ f ( - 2 ) = -4 + 3}\)

\( \boxed{ \sf \red{↣ f ( -2 ) = -1}}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━

\( \underline{ \sf{ \: 2] \: f ( x ) = 2x + 3 \: }}\)

put the value of x = -1 in eqⁿ

\( \sf{↣f ( x ) = 2x + 3}\)

\( \sf{↣f ( -1 ) = 2( -1 ) + 3}\)

\( \sf{↣f ( -1 ) = -2 + 3}\)

\( \boxed{ \sf \color{green}↣f ( -1 ) = 1 }\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━

\( \underline{ \sf{ \: 3 ] \: f ( x ) = 2x + 3 \: }}\)

put the value of x = 0 in eqⁿ

\( \sf{↣f ( x ) = 2x + 3}\)

\( \sf{↣f ( 0 ) = 2( 0 ) + 3}\)

\( \sf{↣f ( 0 ) = 0 + 3}\)

\( \boxed{ \sf \blue{↣f ( 0 ) = 3}}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━━

\( \underline{ \sf{ \: 4 ] \: f ( x ) = 2x + 3 \: }}\)

put the value of x = 1 in eqⁿ

\( \sf{↣f ( x ) = 2x + 3}\)

\( \sf{↣f ( 1 ) = 2( 1 ) + 3}\)

\( \sf{↣f ( 1 ) = 2 + 3}\)

\( \boxed { \sf \color{brown}↣f ( 1 ) = 5}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━

\( \underline {\sf{ \:5 ] \: f ( x ) = 2x + 3 \: }}\)

put the value of x = 2 in eqⁿ

\( \sf{↣f ( x ) = 2x + 3}\)

\( \sf{↣f ( 2 ) = 2( 2 ) + 3}\)

\( \sf{↣f ( 2 ) = 4 + 3}\)

\( \boxed{ \sf \purple{↣f ( 2 ) = 7}}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━

Range of the function for each domain is:-

\( \: \)

hope it helps! :)

Answer:

The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.

Step-by-step explanation:

Each sandwich cost $9.

The gallon of milk cost $6.

The total cost of the meal was $33.

Let us represent the number of sandwiches that Tito bought as x

The equation is:

$9 × x + $6 = $33

9x + 6 = 33

Collect like terms

9x = 33 - 6

9x = 27

x = 27/9

x = 3

Hence,

The equation 9x + 6 = 33 represents the situation, and three sandwiches were purchased.

Answer:

There is actually no solution for X

So the correct answer is B

Answer:

Step-by-step explanation:

V=lwh

120=l(6)(4)

120=24I

\(\frac{120}{24} =\frac{24I}{24} \\I=5\)

Answer:

V=lwh

120=l(6)(4)

120=24I\begin{gathered}\frac{120}{24} =\frac{24I}{24} \\I=5\end{gathered}

Answer:

311.3 feet

Step-by-step explanation:

1 yard = 3 feet

Therefore, 103.76 yards = 311.28 feet (by multiplying 103.76 by 3)

Rounding to the nearest tenth gives us 311.3 feet.

Graph 2

It is the graph with the line on the positive Y-Axis as the equation is ended with +3

Answer:

Pregnant women have the option of being scanned for Cystic Fibrosis risks in their unborn babies. If a mother or a father have a certain recessive gene, the baby is at risk for Cystic Fibrosis.

Given the three events, which of the following statements is true?  

Select all that apply.

Event A: The mother or father carries the recessive gene.

Event B: The father carries the recessive gene.

Event C: The baby is at risk for Cystic Fibrosis.

Select all that apply:

Event A and Event B are mutually exclusive.

Event B and Event C are mutually exclusive.

Event A and Event C are not mutually exclusive.

Event A and Event C are mutually exclusive.

Event A and Event C are not mutually exclusive.

Remember that in general, A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B)=0.

In this question, note that if the mother or father carries the recessive gene for cystic fibrosis, the baby is at risk. So here, A and C are not mutually exclusive, and B and C are not mutually exclusive.

A and B are not mutually exclusive because they share an outcome: the father carrying the recessive gene.

Step-by-step explanation:

9514 1404 393

Answer:

  false

Step-by-step explanation:

The statement is nonsense (false). Regardless of the sign of a product, subtraction plays no part in anything related to it.

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

bc hes awesome

Answer:

A 573308928

B. 124176266400000000000000000

Given:

Two planes fly toward each other. They are 3500 kilometers apart.

They pass  each other after 7.5 hours.

Their speeds differ by 65 kilometers per hour.

To find:

Their speed.

Solution:

Let speed of one plane be x km/h.

So, speed of second plane is x+65 km/h.

Relative speed = x+(x+65) km/h

We know that,

\(Speed=\dfrac{Distance}{Time}\)

\(x+(x+65)=\dfrac{3500}{7.5}\)

\(2x+65=\dfrac{3500}{7.5} \)

Multiply both sides by 7.5.

\(15x+487.5=3500 \)

\(15x=3500-487.5 \)

\(15x=3012.5 \)

Divide both sides by 15.

\(x=\dfrac{3012.5}{15} \)

\(x\approx 200.83 \)

Speed of first plane = 200.83 km/h.

Speed of second place = 200.83+65 = 265.83 km/h

Therefore, their speeds are 200.83 km/h and respectively.

Answer:

d =5

Step-by-step explanation:

d = \(\sqrt{(x2-x1)^2 + (y2-y1)^2}\)

at (1,5), (5,2)

d= \(\sqrt{(5-1)^2 +(2-5)^2}\)

\(d = \sqrt{16 + 9} \\d=\sqrt{25}\\ d =5\)

Therefore 5 is the distance.

Answer:

C

Step-by-step explanation:

calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )

d = \(\sqrt{(5-1)^2+(2-5)^2}\)

   = \(\sqrt{4^2+(-3)^2}\)

    = \(\sqrt{16+9}\)

    = \(\sqrt{25}\)

    = 5

Answer:

\((4x+5)(x-3)\)

Step-by-step explanation:

We can separate this expression into two parts: \(4x^2-12x\) and \(5x-15\).

We can first take the first part and factor out 4x, getting \(4x(x-3)\).

We can then take the second part and factor out 5, getting \(5(x-3).\)

Now when we put these parts together, they make \(4x(x-3)+5(x-3)\\\).

The last step is to factor \((x-3)\) to get \((4x+5)(x-3)\).

The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer: Area = l × w

= 3.5 × 2.8

= 9.8 meters2

Step-by-step explanation:

Answer:

He got 1.9 pounds of sugar per dollar.

Step-by-step explanation:

Divide the amount of sugar by the amount of dollars paid.

Answer:

honestly don't know but you got this bro {=•=}

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

A= 204 in²

Step-by-step explanation:

The base is 12 in, and the height is 17 in.

A=b h=12·17=204 in²

it it right  

Answer:

1040

Step-by-step explanation:

substitute the given information

h = 36

s = 10,000

E = 15 x 36 + 0.05 x 10,000

E = 540 + 500 = 1040

Answer:

Step-by-step explanation:

Zeros are solutions, are answers. So x = -1 and x = 5

What would've been the previous step to find that answer?

x + 1 = 0 would be where you'd get x = -1 from.

x - 5 = 0 would be where you'd get x = 5 from.

So the factors of this quadratic must've been:

(x + 1) and (x - 5)

Multiply these together.

(x + 1)(x - 5)

x^2 - 4x - 5

Since they were asking for an equation we ought to throw an = 0 on the end there, so you get

x^2 - 4x - 5 = 0

I like to think of this as a "working backwards" problem. Usually we get an equation, factor and solve it. This time we did all of that exactly in reverse order.