When gas prices are $2.94 per gallon, the annual supply for gas in New York State is 139 billion gallons

Answer:

4.1

Explanation:

In the number:

• The place value of 2= 2 tenths

• The place value of 3= 3 hundredths

• The place value of 4= 4 thousandths

The digit rounded to the tenths place is that which have just a digit after the decimal sign.

The correct choice is 4.1

Given the expression:

To solve the expression, follow the steps below:

Step 01: Add 3 to both sides.

Step 02: Divide both sides by 12.

Step 03: Take the square root of both sides.

Step 04: Evaluate the results.

First, let's evaluate sin(x) = 1/2.

Sin(x) is positive in the first and in the second quadrant. Then,

Second, let's evaluate sin(x) = -1/2.

Sin(x) is negative in the third and in fourth quadrant. Then,

Answer:

The sample space for rolling a die twice is shown below

1,1 1,2 1,3 1,4 1,5 1,6

2,1 2,2 2,3 2,4 2,5 2,6

3,1 3,2 3,3 3,4 3,5 3,6

4,1 4,2 4,3 4,4 4,5 4,6

5,1 5,2 5,3 5,4 5,5 5,6

6,1 6,2 6,3 6,4 6,5 6,6

Total number of outcomes = 36

Outcomes involving an odd number followed by 1 = 1,1 3,1 5,1

Thus, number of favorable outcomes = 3

Probability = number of favorable outcomes/total number of outcomes

the probability of rolling an odd number and then rolling a 1 = 3/36

the probability of rolling an odd number and then rolling a 1 = 1/12

Explanation

Step 1

when a lines intersects a pair of parallel lines , diverse angles are created

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent,so ( in the image yellow angles are corresponding, so)

solve for x

Step 2

now, yellow angle and ble angles are supplementary( Two Angles are Supplementary when they add up to 180 degrees),so

let

x=22

and solve for y

I hope this helps you

Arranging in ascending order we have,

Solution

Babysitting pricing

Therefore the equation representing the function is

Hence the answer is Option D

Given the angles:

• (3x + 27) degrees

• 96 degrees

Let's solve for x

The given angles are vertical angles and vertical angles are congruent.

Hence, we have the equation:

(3x + 27) = 96

Let's solve for x from the equation.

3x + 27 = 96

Subtract 27 from both sides:

3x + 27 - 27 = 96 - 27

3x = 69

divide both sides by 3:

ANSWER:

x = 23

It is given that angle Q is 75 degrees and arc QS is 133 degrees.

Use inscribed angle theorem on angle RQS to get:

It is known that the sum of all arcs of circle is 360 degrees so it follows:

Hence the measure of arc QR is 77 degrees.

O

Answer:

N! - 2(N - 1)!

Step-by-step explanation:

It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.

The number of ways N people can be arranged in a straight line without restriction = N!

The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people

= (N - 1) * 2 * (N - 2)!

= 2 (N - 1)!

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!

#SPJ1

Using the fundamental counting principal, we get that every switch has 2 options, on or off. So the total possible outcomes are:

First, calculate the number of page read by Lucas. Calculate the 30% of 480, as follow:

(30/100)(480) = 144

Next, subtract the previous result to 480:

480 - 144 = 336

Hence, Lucas is going to read 336 pages

The Solution:

Given that:

Number of cows = 10

Number of pigs = 5

Total number of animals = 15

We are required to find the probability of selecting a cow and a pig for testing.

Therefore, the correct answer is [option 2]

If the intersection of two sets is a null set or an empty set, then two sets A and B are disjoint sets. The intersection of a set is therefore empty.

Disjoint sets are a pair of sets that do not share any elements. For instance, the sets A=2,3 and B=4,5 are not connected sets. However, set C=3,4,5 and set C=3,6,7 are not disjoint since 3 is a common element in both sets C and D.

Now that we are clear on the disjoint set's definition, let's go on to talking about some more important topics, such the notation and Venn diagram related to it. A B = is the notation used for this particular set. As an illustration, suppose A = 1, 2, 3, and B = 4, 5, 6, 7. A + B = then.

To learn more about disjoined set refer to:

https://brainly.com/question/28165517

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3x - 9y = 9 --------------------------(1)

4x - 12y = 36 --------------------------(2)

Multiply equation (1) by 4 and then multiply equation(1) by 3

12x - 36y = 36 ---------------(3)

12x - 36y = 108 ------------------(4)

Subtract equation (4) from (3)

0 is not equal to -72

Hence the system has no solution

Since the probability of landing heads with the trick coin is 0.4, we have:

therefore, the first frequency table represents the behavior of the trick coin.

In this problem, we are applying function notation. When we see a function written as

we read it as "f of x" or "f as a function of x."

We will take the value of x and substitute it into the quation.

The function rule states

Since we are given f(-3), we will substitute each x-value (inside parentheses), and simplify:

Therefore, f(-3) = 9.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

2x - 7y = - 56

Step 02:

x-intercept:

y = 0:

2x - 7(0) = - 56

2x = 56

x = 56 / 2

x = 28

( 28 , 0)

y-intercept:

x = 0:

2(0) - 7y = 56

- 7y = 56

y = 56 / (-7)

y = - 8

( 0 , - 8)

The answer is:

x-intercept: ( 28 , 0)

y-intercept: ( 0 , - 8)

Given:

Number of times the die rolled = 30

Number of times got 3 = 7

Number of times got 4 = 6

Required: Experimental probability of rolling a 3 or a 4.

Explanation:

Experimental probability is defined as

Number of times got a 3 or a 4 = 7+6 = 13

So,

Option C is correct.

Final Answer: Experimental probability of rolling a 3 or a 4 is 13/30.

Explanation:

To simplify we have to multiply each term in the parenthesis by -1/2:

Answer:

A. -4w + 5x + 1

Suppose the function is f.

Then the average rate

f(4) = 5

and f(5) = 10

Hence,

Hence the average rate of change over the interval 4

For the expression

3(x + 7) we simply multiply 3 by each term inside the parenthesis:

3(x + 7) = 3 · x + 3 · 7

= 3x + 21

log4 (1/64) = x

Rewrite in exponential form:

logb(x)= y

b^y = x

4^x = 1/64

Rewrite as equations with equal base

(2^2)^x = 2^-6

2^2x = 2^-6

Equal exponents:

2x = -6

Solve for x

x = -6/2

x = -3

We are given that Calvin bought 5 pieces of fudge and 3 pieces of bubble gum for a total of $5.70. If the cost of each fudge is "f" and the cost of each gum is "g", then the equation representing the purchase for Calvin is:

This is our first equation.

We are also given that Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. The equation representing the purchase for Sara is

This is our second equation.

To solve the system we will solve for "f" in equation (1). To do that we will subtract "3g" from both sides:

Now we divide both sides by 5:

Now we substitute this value in equation (1):

Now we divide the equation by 2, we get:

Simplifying we get:

Now we multiply both sides by 5:

Now we add like terms:

Now we subtract 5.7 to both sides, we get:

Now we divide both sides by 22:

Now, we substitute this value in equation (1) where we have already solved for "f":

Substituting the value of "g" we get:

Now we solve the operations, we solve the product:

Now we solve the operations:

Therefore, the price of gums is $0.15 and the price of fudge is $1.05.

Answer: This problem can be solved using the concept of mathematical proportions, the equation that can be constructed for the problem is as follows:

Solving equation (1) gives the answer, the solution to the equation (1) is as follows:

Therefore the answer is 110mg.

The chord is CD and the diameter AD of the circle are perpendicular to each other at point L. According to the perpendicular bisector theorem, if the diameter of a circle is perpendicular to a chord then the diameter bisects the chord and its arc. This means that chord CD is bisected by the diameter of the circle at point L. In this case this means CL = LD

Given:

Answer:

162%

Step-by-step explanation:

[tex]\frac{81}{50} (100)=1.62(100)=162[/tex]

Hope this helps

Given the function:

Let's find the x-intercepts and the y-intercepts of the graph.

• x-intercepts:

To find the x-intercept, substitute 0 for f(x) and solve for x:

Subtract 6 from both sides:

Divide both sides by -2:

Therefore, the x-intercepts are:

x = -2, 4

• y-intercept:

To find the y-intercept, set the value of x to zero and solve for f(x).

Yes, therefore, the y-intercept is:

y = 4

ANSWER:

• x-intercepts: x = -2, 4

• y-intercept: y = 4

Answer:

Explanation:

Here, we want to get the plot of the parabola

We start by getting its vertex

We have that as follows:

We have the vertex form as follows:

The vertex here is thus (-1,16)

To get the other point, we can equate the values in the brackets to zero and solve for x

We have that as:

The other points are thus (3,0) and (-5,0)

Thus, we can join (-1,16) with either (3,0) and (5,0) as shown below:

Answer:

21

Step-by-step explanation:

[tex]6*7-7*3[/tex]

Utilizing PEMDAS, we know that all multiplication comes before subtraction.

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Knowing this, multiply the four terms:

[tex]42-21[/tex]

Now subtract:

[tex]21[/tex]

Answer:

The number of each size quilt is;

Explanation:

Given that a large quilt requires 8 yards of fabric while the small quilt requires 3 yards of fabric.

Let x represent the number large quilt and y the number of small quilt.

If she used a total of 90 yards of fabric to make 15 quilts then we have;

let us solve the system of equations by substitution. From equation 2;

substituting into equation 1;

substituting the value of y;

Therefore; the number of each size quilt is;