estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .

The value of the integer of the b is 37,38,39.

According to the statement

We have to find that the value of the integers.

So, For this purpose, we know that the

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

From the given information:

Two integers, a and b, have a greatest common actor of 1. If a = 12 and b is greater than 35 but no more than 40.

Then

a=12

35 < b < 40

Now, we use the GCF

then

GCF of a and b =  1

GCF of 12 and 37 =  1

GCF of 12 and  38 =  2

GCF of 12 and  39 =  3 .

So, The value of the integer of the b is 37,38,39.

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When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true

It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.

In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.

Therefore, the information illustrated is true.

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Answer: B.

Step-by-step explanation:

   First, we will solve both of these given inequalities for x by isolating the variables.

Given:

   6 + 3y < 9

Subtract 6 from both sides of the equation:

   3y < 3

Divide both sides of the equation by 3:

   y < 1

--

Given:

   4y > 3y + 2

Subtract 3y from both sides of the equation:

   y > 2

   Now, our given inequalities are y < 1 and y > 2. These inequalities are easier to view on the graph. We see that these are not equal to (≥ or ≤), so we will have open circles.

   First, we will graph y < 1. We will plot an open circle at y = 1 and then shade to the left of it. Net, we will graph y > 2. We will plot an open circle at y = 2 and then shade to the right of it. This leaves us with answer option B.

The correct option is C. (0, 1, 2); function. The domain of the function is (0, 1, 2).

For the given question;

The relation is;

(x, y) =  {(0, 0), (1, 1), (2, 0)}

Take out the values for x.

x = {0, 1, 2}

The above set indicates that the x-values begin at 0 and end at 2.

As a result, the domain is {0, 1, 2}.

To be a function, all of the relation's y-values must refer to different x-values.

Since all y-values possess unique x values, we can say that the provided relation is a function.

Therefore, the given relation defines a function with domain of {0, 1, 2}.

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The correct question is-

Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a function;

A. (0, 1, 0); function

B. (0, 1, 0); not a function

C. (0, 1, 2); function

D. (0, 1, 2); not a function

The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at  Θ = 3π/2 where π≤Θ≤2π.

A circle is a shape made up of any and all points inside a plane that are situated at a specific distance from the center point. In other words, it is the path a moving point in a plane takes to move around a curve while maintaining a constant distance from another point.

The unit circle the point (cosΘ, sinΘ) lies on the circle.

Where, 0≤Θ≤2π

We know that tanΘ is the ratio of the sinΘ to cosΘ:

tanΘ = sinΘ/cosΘ

So,

tanΘ will be undefined when cosΘ = 0

So in the interval 0≤Θ≤π

CosΘ will be zero at π/2

The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at  Θ = 3π/2 where π≤Θ≤2π.

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Answer: C

Step-by-step explanation:

Hope this helps. E2020

Answer:

It would be 5 spots to the left of 0 on the number line.

Step-by-step explanation:

Slack of a3 is 6 weeks.

Slack variables are variables that are introduced to an inequality constraint in an optimization problem to change it into an equality. An inequality constraint is replaced by an equality requirement and a non-negativity constraint on the slack variable when a slack variable is introduced. In particular, slack variables are employed in linear programming. The slack variable, like the other variables in the augmented constraints, can only have positive or zero values because of the simplex method. A constraint is binding at a certain candidate solution if its associated slack variable is zero because it limits the modifications that can occur after that.

There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.

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(There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.)

Answer:

x = 35°
Q = 87°
P = 58°
R = 35°

Step-by-step explanation:

[tex]x+52+2x-12+x=180[/tex]

[tex]4x+40=180[/tex]

[tex]4x=180-40[/tex]

[tex]x=\frac{140}{4} =35[/tex]

Angle R = 35°
Angle Q = 35 +52 = 87°
Angle P = 2(35) - 12 = 70 -12 = 58°

Hope this helps

The slope of the line represented by the equation -5x + 2y = 10 is slope = -5/2 and y intercept= -5

In order to answer the question, we must first simplify the given linear equation so that it may be expressed as a regular linear equation with slope and intercept. A linear equation's slope intercept form is y=mx+b , where "m" denotes the line's slope and "b" its y-intercept. The value of y = 0 must then be entered for the x-intercept, and the value of "x" must then be determined. We will obtain all necessary values in this manner.

By slope-intercept form equation of the line:

y=mx+b

The advantage of the equation in this form is that m and b can be derived 'easily'

Rearrange -5x-2y = 10 in this form.

-2y=5x+10

y=-5/2x+-10/2

y=-5/2x-5

slope = -5/2

y intercept= -5

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Answer:

in 11 1 is greater in 12 they are equal

Step-by-step explanation:

The expression for M from the given function is M = 4π²a²/T²G

The subject of a formula is the variable that is being worked out from a given equation.

Given the equation below;

T² = 4π²a²/GM

We are to make M the subject of the formula

T²GM = 4π²a²

Divide both sides by T²G

T²GM/T²G = 4π²a²/T²G

M = 4π²a²/T²G

Hence the expression for M from the given function is M = 4π²a²/T²G

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Answer:

c=836

Step-by-step explanation:

=, c=430+ 406

c=836

Answer:

29 mph

Step-by-step explanation:

divide 145 miles by 5 hours to calculate your miles per hour. 145 / 5 = 29!

Answer: 58 mph

Step-by-step explanation: Since its a round trip multiply 145 by 2.

290

Divide 290/5= 58

58 miles per hour

Answer:

4 hous and 29 minutes

Step-by-step explanation:

According to the given data the non - degenerated closed interval in r is calculated as [tex]\int\limits^t_s[/tex]f(t) - f(s).

Any set that only contains one real number is known as a degenerate interval (i.e., an interval of the form [a,a]).  an interval is measured in terms of numbers. An interval is any integer that falls between two specific numbers. This range encompasses all real numbers between those two. Real numbers can be any number anyone can think of. A degenerate interval is any set that contains only one real number (i.e., an interval of the form [a, a]). The empty set is included in this definition by some authors. A suitable interval is one that is either empty or degenerate and has an infinite number of elements.

f(x[tex]_r[/tex]) - f(x[tex]_r[/tex]₋₁)  = F' (e[tex]_r[/tex])(x[tex]_r[/tex] - x[tex]_r[/tex]₋₁)

By summating the equation it becomes.

f(t) - f(s) [tex]\int\limits^t_s[/tex] f < = f(t) - f(s) --------->

[tex]\int\limits^t_s[/tex] ts < = f(t) - f(s)  ------------->2

From 1 and 2

[tex]\int\limits^t_-s < ={f(t) - f(s) < = \int\limits^t_d {f}[/tex]

So, it finally becomes

[tex]\int\limits^t_s[/tex]f < = f(t) - f(s)

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Answer:

3/5 is longer than 4/7

Step-by-step explanation:

Answer:

c=5+1h

Step-by-step explanation:

The equation for where h represents the number of hours and C represents the total cost is C = 5 + nh.

Given that the skates were rented for $5 and pay $1 an hour for skating per person.

We need to write an equation, where h represents the number of hours and C represents the total cost.

To calculate the total cost (C) for a family with h hours of skating, you would need to consider the cost of renting skates ($5) and the cost of skating per person per hour ($1 per person per hour).

Let n be the number of people in the family.

The equation for the total cost (C) can be expressed as follows:

C = 5 + nh

The $5 is added to the equation as a one-time cost for renting skates, which is the same for any number of people.

nh represents the cost for the number of people (n) skating for h hours, at the rate of $1 per person per hour.

The cost per person is multiplied by the number of hours they skate.

Hence the required equation is C = 5 + nh.

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The solution to the linear equation according to the task content as given is; 6.

It follows from the task content, it follows that the solution to the linear equation given is required.

Given;

x/3 - 7 = -5

Add 7 to both sides of the equation;

x/3 = -5 + 7

x/3 = 2

Multiply both sides by 3;

x = 2×3

x = 6.

Ultimately, the solution of the linear equation as given in the task content is; 6.

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This statement is False:

"21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher."

A traffic collision, also known as a motor vehicle collision, car accident, or car crash, happens when a vehicle strikes another vehicle, a pedestrian, an animal, road debris, or another immovable object, like a tree, pole, or a structure.

An injury that is not fatal under this approach is one that results from prolonged exposure to an outside force or substance (mechanical, thermal, electrical, chemical, or radiation) or from submersion. Both deliberate and inadvertent bodily harm may occur.

Severe injuries are most frequently dealt to the neck, followed by the head, chest, legs, and abdomen/pelvis, for passengers riding on the side of the automobile that was impacted. For those riding in vehicles on the contralateral side of the car, head injuries are most common, followed by chest injuries.

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Answer:

first one x = 11

Step-by-step explanation:

3x - 5 = 2x + 6

3x - 2x - 5 = 6

x - 5 = 6

x = 6 + 5

x = 11

Answer:

A.

Step-by-step explanation:

Due to the absolute value markers on either side of the equation, there will be no negative numbers that will equal f(x). Therefore, the range cannot equal all real numbers, only all positive real numbers.

Answer:

7/8-1x2/4x2

7/8-2/8=5/8

5/8

Answer:

$7.81 (nearest cent)

Step-by-step explanation:

Simple Interest Formula

[tex]\boxed{\sf I = Prt}[/tex]

where:

Given values:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=625 \cdot 0.025 \cdot 0.5[/tex]

[tex]\implies \sf I=15.625 \cdot 0.5[/tex]

[tex]\implies \sf I=7.8125[/tex]

Therefore, the interest that Carla will earn at the end of 6 months is $7.81 (nearest cent).

Answer:

$7.81 (nearest cent)

Step-by-step explanation:

Use the simple interest formula

[tex] \large \bf \implies{25 {h}^{ - 2}} \\ [/tex]

[tex] \bf \longrightarrow \bigg( \frac{h}{5} \bigg)^{ - 2} \\ \\ \bf \longrightarrow \bigg(\frac{5}{h} \bigg)^{2} \\ \\ \bf \longrightarrow \frac{ {5}^{2} }{ {h}^{2} } \\ \\ \bf \longrightarrow \frac{25}{ {h}^{2} } \\ \\ \bf \longrightarrow25 {h}^{ - 2} [/tex]

Note :- We have using the negative exponent rule :

[tex] \large \mapsto \bf \boxed{ \bf \red{{a}^{ - n} = \frac{1}{ {a}^{n} } }}[/tex]

Answer:

1. NO

2. YES

3. YES

4. YES

Step-by-step explanation:

Plot these on a number line to see visually.

Answer:

1. No

2. Yes

3. Yes

4. Yes

Step-by-step explanation:

Given inequality :

x  ≥ -4.1

1.

[tex]\ -5\Large \ \ \text{\bf{(NO)}}[/tex]

Reason:  5 > 4.1 ⇒ -5 < -4.1

2.

[tex]\ -4.1\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :  -4.1 = -4.1 ⇒ -4.1 ≥ -4.1

3.

[tex]\ 8\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :  8 is positive and -4.1 is negative  ⇒ 8 ≥ -4.1

4.

[tex]\ 0\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :   -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1

Answer:

It's 25

Step-by-step explanation:

ooposite angle of 40 is the one between 2x and the 90 degree angle.

if that is 40 and another angle is 90, then

2x + 40 + 90 = 180

2x = 180 - 130

2x = 50

50/2 = x

x = 25

Answer:

Reciprocal means put 1/x

Step-by-step explanation:

It will 1/12.5=0.08

Let's see a few examples to understand the statement given in the question.

Example 1:

Find the sum of 75.5 + (58.231 + 24.5)

Hence , the sum of 75.2+(57.376+24.8) is 158.231.

75.5 + (58.231 + 24.5)

= 75.5 + (24.5 + 58.231) (using the commutative property of addition)

= (75.5 + 24.5) + 58.231 (using the associative property of addition)

= 100 + 58.231 (by looking at the first two numbers, it is easier to say that the sum is 100.)

= 158.231 (you can write this answer directly without doing any calculation)

Therefore, the sum of 75.2+(57.376+24.8) is 158.231.

Example 2:

Find the product of (25 × 2) × 50

Hence , the product is 2500 .

(25 × 2) × 50

= 25 × (2 × 50) (using the associate property of multiplication)

= 25 × 100

= 2500 ( we can simply add to zeros at the end if an integer number is multiplied by 100.)

Therefore, the product of (25 × 2) × 50 is 2500.

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