Type the correct answer in the box. burning one gallon of gasoline releases 20 pounds of co2 into the air. harry’s compact car can travel 25 miles on one gallon of gas. if harry drives 15,000 miles in a year, his vehicle will add pounds of co2 to the atmosphere.

Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing. And the graph is non-linear.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The graph represents the journey of a bus from the bus stop to different locations:

Complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey.

1 and 3 show that the bus is going to the last station, 2 and 4 show the holding time of the bus at a station, and 5 shows that the bus is returning.

1 and 3 are increasing, 2 and 4 are constant, and 5 is decreasing.

The graph is non-linear.

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The class that had better overall results on the exam is class A.

The class with greater variablity in results is class B.

The statistics of students in class A:

Maximum score = 100

Minimum score = 65

Median = 85

First quartile = 1/4(n + 1) = 1/4 x 12 = 3rd term = 70

Third quartile = 3/4 x (n + 1) = 3/4 x 12 = 9th term = 90

The statistics of students in class B:

Maximum score = 100

Minimum score = 55

Median = 75

First quartile = 70

Third quartile = 80

The range would be used to determine which class has greater variability.

Range = highest score  - lowest score

Class a = 100 - 65 = 35

Class B = 100 - 55 = 45

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Answer:

see attached picture for details

a = BOA + COD

b = BOD

c = 150

d = BOA + COD

Step-by-step explanation:

see attached picture with color coded answers

Answer:

Heyyy!!!!

The answer is 1.

Please read explanation it will definitely help you....

Step-by-step explanation:

Okay... Here it goes...

Basically, there is an exponent rule that says that anything to the power of 0 is 1.

I hope this helps!

Answer:

7^0 = 1

Step-by-step explanation:

Anything that has an exponent of 0 is 1.

Step-by-step explanation:

dk if this makes sense

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

sin(θ) = (√33)/7 = √(33/49)

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Answer:

The answer is D.

Step-by-step explanation:

Edge 2022

[tex]\text{L.H.S}\\\\=(1 - \cot \theta )^2 + (1 + \cot \theta)^2 \\\\=(1-\cot \theta + 1 + \cot \theta)^2 - 2(1 -\cot \theta)(1 + \cot \theta)\\\\=2^2 - 2(1 - \cot^2 \theta)\\\\=4-2+2 \cot ^2 \theta\\\\=2+2 \cot^2 \theta\\\\=2(1 + \cot^2 \theta)\\\\=2 \csc^2 \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Based on the triangle proportionality theorem, the true proportion regarding the figure is: B. i/j = h/k

The triangle proportionality theorem states that when two sides of a triangle is intersected by a line that is parallel to the third side of a triangle, the two sides intersected are therefore divided in the same ratio.

TU is parallel to QR. Therefore, based on the triangle proportionality theorem, TU will divide QS and RS in the following ratio: B. i/j = h/k

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Answer:

Can you please tell me what you need done?

Step-by-step explanation:

I would love to help you but it seems you haven't put any information.

Answer:

103.4 mi to nearest hundredth.

Step-by-step explanation:

This is an application of the Tangent/secant of a Circle theorem.

If h is the distance to the horizon:

h^2 = 2.7 * (3959 + 2.7)

h^2 = 10696.59

h = 103.424 miles.

Answer:

[tex]2cm[/tex]

Step-by-step explanation:

Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]

Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex]

[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3

[tex]12.56cm=\pi r^2[/tex] Divide by pi

[tex]4cm=r^2[/tex]

[tex]r=\sqrt{4}[/tex]

[tex]r=2[/tex]

Answer:

P(greater than 4 or factor of 5) = 1/3

Step-by-step explanation:

→ let A be the set {the numbers greater than 4}

then A : {5 , 6}

p(A) = 2/6

→ let B be the set {the factors of 5}

then B : {1 , 5}

p(B) = 2/6

P(greater than 4 or factor of 5) = p(A∪B)

Formula =================

p(A∪B) = p(A) + p(B) - p(A∩B)

………………………………………………

A∩B : {5}

then

cardA∩B = 1

Then

p(A∩B) = 1/6

Finally :

p(A∪B) = p(A) + p(B) - p(A∩B)

            = 2/6 + 2/6 - 1/6

            = 3/6

            = 1/3

Answer: Commutative Property of Addition

Explanation:

This is the rule which says that we can add two numbers in any order.

For example, 3+2 = 2+3 since both sides result in 5. The rule can be extended to involve variables, because variables are placeholders for actual numbers. Also, the rule can be extended to any number of terms and not just two.

A more generalized form of the rule could be something like x+y = y+x

Answer:

25

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Answer:

-2x < 23-7

-2x < 16

-2x÷-2 < 16 ÷ -2

x > -8

Answer:

1/2

total No-4

required number-2

=No of required outcome

No of Normal outcome

=2/4

=2

Answer:

1. A

2. i think c not sure

Step-by-step explanation:

Answer:

-3125

Hope this helps!!

Answer:

the exponent is four

2x2x2x2 is 16

Answer:

4.05

Step-by-step explanation:

The sin(-184) can be expressed as cos 86° as a function of a positive acute angle.

To express a trigonometry identity as a function of a positive acute angle, we need to find the quadrant in which that given identity is located.

Here, we have a negative trigonometry identity: Sin (-184)

Recall that:

So, to turn that to a positive sign, we add 360

=sin(-184 + 360)

= sin(176)

To find the positive acute angle, we have:

x = cos(176 - 90)

x = cos 86°

Therefore, we can conclude that the sin(-184) can be expressed as cos 86° as a function of a positive acute angle.

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Answer:

Translation = Slide

Reflection = Flip

Rotation = Turn

Step-by-step explanation:

Answer:

1.05 (0.2x + 1/2y + 0.75z)

Step-by-step explanation:

Finding the cost of each item :

1 Sweatshirt

2 T-shirts

1 Pair of Pants

Now, the final cost (after applying sales tax) is :

Answer:

Since there isn't any of the following attached, I made my wn attached below

Step-by-step explanation:

Population size: 12

Median: 28.5

Minimum: 23

Maximum: 37

First quartile: 25.5

Third quartile: 30.75

Interquartile Range: 5.25

Outliers: none

Hope this helps you a little more for your last day of finishing hmw :)

Let me know if you need anymore help !

OR have questions

Answer:

2.2 ≤ x ≤ 4.5

Step-by-step explanation:

The rate of change simply is asking when the gradient is negative and since a graph is provided you can tell where the line is declining which is in between 2.2 and 4.5. Without a graph, you can use the derivative to find out the negative rate of change of a cubic instead.

The histogram shows that the majority of Omar's Final Fitness Team had weight loss between 30 to 49 kg, with only a few members achieving higher weight loss of 60 to 69 kg.

To create a histogram from the given data, follow these steps:

Step 1: Determine the range of the data (largest value - smallest value): Range = 90 - 31 = 59

Step 2: Choose a number of classes for the histogram. A convenient number of classes is usually between 5 and 15. For this data set, we can choose 6 classes.

Step 3: Determine the width of each class by dividing the range by the number of classes:

Class width = Range / Number of classes

Class width = 59 / 6 = 9.83

Round the class width up to 10 to make it a convenient number.

Therefore, the class width is 10.

Step 4: Determine the lower limit of the first class. Choose a value that is equal to or less than the smallest data point.

Lower limit of first class = 30

Step 5: Create the frequency distribution table by counting how many data points are in each class:

| Class Interval | Frequency |

|:----:|:----:|

| 30 - 39 | 2 |

| 40 - 49 | 2 |

| 50 - 59 | 0 |

| 60 - 69 | 2 |

| 70 - 79 | 1 |

| 80 - 89 | 1 |

Step 6: Draw the histogram. On a horizontal axis, mark the class intervals. On the vertical axis, mark the frequency for each class. Draw vertical bars to represent the frequency in each class. Make the bars touch each other so that it shows a continuous distribution.

Here's the histogram of the given data:

```

           Frequency

           |

           |    x

           |    x

   --------|----|----|----|----|---|---

          30   40  50   60   70  80  90

          |        Class intervals       |

```

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