Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 5.5 gallons in the 14​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.60 per gallon. How much did Irene spend on​ gas?

Statements are;

1) S(q) represents a quantity that changes at a constant rate per unit interval.

2) S(q) represents a quantity that changes at a constant percent rate per unit interval

3) S(q) represents a linear function

4) S(q) represents an exponential function.

Answer:

Statements 1 & 3 are true while statements 2 & 4 are false

Step-by-step explanation:

We are told that S(q) is a function that represents the quiz score, S, in terms of the number of correctly answered questions, q.

Statement 1 is true because the quiz score(S(q)) changes at a constant rate per unit questions answered since the math quiz has 10 questions and is scored out of 100

Statement 2 is false because S(q) is not expressed as a percentage rate.

Statement 3 is correct because S(q) function is a straight linear functional relationship where it directly depends on the number of correctly answered questions(q)

Statement 4 is false because the relationship is not expressed in exponential form but as a direct linear relationship.

The function S(q) is an illustration of a linear function.

The true statements are:

The false statements are:

From the question, we understand that:

S(q) represents the quiz score in terms of the number of correct answers

This means that:

As the correct answers increases or decreases, the value of s(q) changes at a constant interval

Functions that have such behavior are linear functions because they change at a constant rate

Hence, (a) and (c) are true, while (b) and (d) are false.

Read more about linear functions at:

https://brainly.com/question/21107621

Answer:phone A

Step-by-step explanation:

phone A is the cheapest

Answer:

x=15 i think but im pretty sure

Step-by-step explanation:

Answer:

y=2x-13

Step-by-step explanation:

:)

Answer:

Volume of cone is: 47464.23 dm³

Step-by-step explanation:

We are given:

Radius of cone r = 35 dm

Slant Height of cone h = 37 dm

We need to find Volume of the cone.

The formula used to find Volume is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]

Putting values and finding volume:

[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14*(35)^2 *\frac{37}{3}\\Volume=47464.23\ dm^3[/tex]

So, volume of cone is: 47464.23 dm³

Answer:

A the awsers a

Step-by-step explanation:

as time goes by the obeject slows down due to fruction

Answer:

C

Step-by-step explanation:

the answer is C because this is a Distance/Time graph. The speed is not changing here, the distance is decreasing as we move, which means we're moving towards the point of origin

Answer:

Step-by-step explanation:

Answer:

about 5.5

Step-by-step explanation:

so 5cm. Just trust me i dont know how to explain but i know its right.

Answer:

C.8cm

Step-by-step explanation:

i took the test its correct

Answer:

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

True

3 is the base and ^8 is the power or exponent.

Answer:

your photo is not clear

Answer:

The answer is A

To find out the answer, substitute 0 into x and find the value of y. If the value of y is same wlike in the graph, then the equation is correct.

Thank you and please rate me as brainliest as it will help me to level up

Answer:

2.37 its a rational number because its a decimal

8. -5/3 is an example of a rational number that is NOT an integer.

9. For example a number like -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Answer:

no solutions

Step-by-step explanation:

3x+ 7(x+1) = 2(6x+5) -2x

Distribute

3x+7x+7 = 12x+10-2x

Combine like terms

10x+7 = 10x+10

Subtract 10 from each side

10x+7-10x = 10x+10-10x

7 = 10

This is not a true statement so there are no solutions

CP = Rs 5750.00

SP = Rs. 5890.00

[tex]\rm \blue{\: mark \: brainleist \: }[/tex]

Answer:

The greatest of the four integers is 14.

Step-by-step explanation:

Let x be the first integer.

x + (x + 1) + (x + 2) + (x + 3) = 50

4x + 6 = 50

4x = 44

x = 11

11 + 12 + 13 + 14 = 50

Answer:

5.555

Step-by-step explanation:

Answer:

Conner's work is correct

Step-by-step explanation:

Operations With Exponents

We need to use the rule to find the product of two or more exponential expressions:

[tex]x^m\cdot x^n\cdot x^p = x^{m+n+p}[/tex]

We need to multiply:

[tex](3^5 6^8)(3^9 6^{10})[/tex]

Base 3 is treated independently from base 6, so we have two groups of operations:

[tex](3^5 6^8)(3^9 6^{10})=3^{5+9} 6^{8+10}[/tex]

Adding the exponents:

[tex](3^5 6^8)(3^9 6^{10})=3^{14} 6^{18}[/tex]

Thus, Conner's work is correct

Answer:

x=27

Step-by-step explanation:

-4x+4=-3x+31

4=x+31

27=x

Answer:

x=-27

-4x+4=-3x+31

-x=27

x=-27

Answer:

X=65°

Step-by-step explanation:

Both angles combined is a right angle as indicated by the small square drawn on it, a right angle is always 90° therefore

(x-15°)+40°=90°

combine like terms

x+25°=90°

subtract 25° from each side

x=65°

Answer:

C

Step-by-step explanation:

Here, originally, we are told that the point Q has coordinates (-2,1)

Now, its dilated point has the coordinates (-8,4)

what we can observe here is the the shape original polygon was dilated by a factor of 4 to give the image

Now the point R’ is (0,8)

To get the point R , we simply divide each coordinate by 4

Thus, we have (0/4 , 8/4)

This is same as option C

Answer:

sally has 400.

Step-by-step explanation:

because if u add 350 and 50 it equals 400

Answer:

300

Step-by-step explanation:

john= 350

sally=350-50

=300

Given:

The vertices of ΔWXY are W(-10, 4), X(-3, -1), and Y(-5, 11).

To find:

Which type of triangle is ΔWXY by its sides.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]WX=\sqrt{(-3-(-10))^2+(-1-4)^2}[/tex]

[tex]WX=\sqrt{(-3+10)^2+(-5)^2}[/tex]

[tex]WX=\sqrt{(7)^2+(-5)^2}[/tex]

[tex]WX=\sqrt49+25}[/tex]

[tex]WX=\sqrt{74}[/tex]

Similarly,

[tex]XY=\sqrt{\left(-5-\left(-3\right)\right)^2+\left(11-\left(-1\right)\right)^2}=2\sqrt{37}[/tex]

[tex]WY=\sqrt{\left(-5-\left(-10\right)\right)^2+\left(11-4\right)^2}=\sqrt{74}[/tex]

Now,

[tex]WX=WY[/tex]

So, triangle is an isosceles triangles.

and,

[tex]WX^2+WY^2=(\sqrt{74})^2+(\sqrt{74})^2[/tex]

[tex]WX^2+WY^2=74+74[/tex]

[tex]WX^2+WY^2=148[/tex]

[tex]WX^2+WY^2=(2\sqrt{37})^2[/tex]

[tex]WX^2+WY^2=WY^2[/tex]

So, triangle is right angled triangle.

Therefore, the ΔWXY is an isosceles right angle triangle.

Answer:

18 cm

Step-by-step explanation:

The formula for the lateral surface area of a cylinder is

=>2πrh

In the question:

The lateral surface area of a cylinder is 288π square centimeters.

The height of the cylinder is 16 centimeters.

Hence:

288π => 2πrh

288π => 2 × π × r × 16

288π => 32πr

r => 288π/32π

r => 9 cm

The formula of Diameter is 2 × radius

= 2 × 9 cm

Diameter =>18 cm

The diameter of the cylinder in centimeters is 18 cm

Answer:

16 inches

Step-by-step explanation:

12 divided by 3 is 4

4 inches for 1/4 of the year

4 x 4 = 16 inches

Answer:

1.6 mins

Step-by-step explanation:

8 divided by 5 = 1.6

Answer:

8÷5=1.6 answer is 1.6

Step-by-step explanation:

running each lap at 1.6 minutes

Step-by-step explanation:

A subject, a verb, and a complete thought

Answer: A subject, a verb, and a complete thought.

Step-by-step explanation:

                    Independent clauses have three components:

Answer:

Step-by-step explanation:

3x^2=6 Bring the 6 over to the left and set equation to 0

3x^2-6=0

Using the quadratic formula the answer is

x=±√2   decimal is 1.41421356 and -1.41421356

Solution of the given equation [tex]3x^{2}=6x[/tex] is x=2 and 0

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given,

[tex]3x^{2} =6x[/tex]

Rewrite the equation

[tex]3x^{2} -6x=0[/tex]

Solve the equation

[tex]3x^{2} -6x=0\\3(x^{2} -2x)=0\\x^{2} -2x=0[/tex]

Therefore the roots are

x=2 and 0

Hence, solution of the given equation [tex]3x^{2} =6x[/tex] is x= 2 and 0

Learn more about equation here

https://brainly.com/question/10413253

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Answer:

Step-by-step explanation:

Where's the question?

But if the question is to represent the equation on the graph then

Just fix in any random value for x,say x=3...then insert into into your equation y=3/2x-1 y=3/2(3)-1 y will be 3.5 when x is 3 so you get a coordinate like(3,3.5) repeat that for about three more values then plot a line

HOPE THIS HELPS