What is the area of this figure?

Answer:

y = -3x-9

Step-by-step explanation:

7 + y = -2 -3x

To solve for y, subtract 7 from each side

7 -7+ y = -2 -3x-7

y = -3x-9

Answer: 55°

Step-by-step explanation:

Line n is irrelevant.

Angle 1 plus angle 2 is 180° because line m is a straight line

180 - 125 is 55

Question

42 is 60% of what number

Answer:

Step-by-step explanation:

42 : 60 * 100 =

70

--------------------

check

70 * 60% =

42

the answer is good

Answer:

The value of k is -5.

Step-by-step explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

Now we can use cross multiplication to solve for k.

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

Answer:

k=-5

Step-by-step explanation:

To find the value of k, start by using the known information we have in the equation for slope. The equation is below.

m(slope) = (y2 - y1)/(x2 - x1)

In this equation, the first ordered pair would be (x1, y1) and the second would be (x2 , y2). So we put the values in for these variables and we get.

-1/5 = (-7 - k)/(6 + 4)

-1/5 = (-7 - k)/10

-1/5 = (-7 - k)/10

-1*10 = 5(-7 - k)

-10 = -35 - 5k

25 = -5k

-5 = k

Answer:

1

Step-by-step explanation:

line is going along the whole bike

The area of the blue glass needed to fill each dot is 144π square inches.

To find the area of the blue glass needed to fill each dot, we need to first determine the radius of the dot. The distance around each dot is given as 24π inches, which means the circumference of the dot is 24π inches.

Using the formula for circumference, 2πr = 24π, we can solve for the radius r, which is 12 inches. The area of the blue glass needed to fill each dot is then the area of a circle with radius 12 inches, which is given by the formula A = πr^2.

Substituting the value for r, we get A = π(12)^2 = 144π square inches.

Answer:

x(x - 8)(x + 3)

Step-by-step explanation:

take out a common factor of x

= x(x² - 5x - 24)

to factor the quadratic consider the factors of - 24 which sum to - 5

These are - 8 and + 3, thus

= x(x - 8)(x + 3) ← in factored form

Final answer:

To factor X³-5X²-24X, we first factor out the greatest common factor, X, and then factor the resulting quadratic equation, resulting in the factored form X(X-8)(X+3).

Explanation:

The polynomial X³−5X²−24X can be factored by first taking out the common factor of X, which gives us X(X²−5X−24). Next, we need to factor the quadratic equation X²−5X−24. To do this, we look for two numbers that multiply to −24 and add up to −5, which are −8 and 3. Therefore, the factored form is X(X−8)(X+3).

Answer:

8

Step-by-step explanation:

1) find the least common denominator

48/8=6

64/8=8

2) check

8 times 6 is 49

8 times 8 is 64

Answer:

the answer is 28.3 cm

Step-by-step explanation:

Answer:

The answer is 28.3cm

Step-by-step explanation:

You take the "new" side length, 22 cm, over the "old" side length, 1.4 cm and write the proportion 22/1.4= x/1.8 cm using x as the unknown, and 1.8 cm as the other "old" side length. Then solve. Multiply 22 x's 1.8. Then divide by 1.4. Giving us the solution x= 28.3 cm.

Hope this helps!

Final answer:

By setting up a proportion based on the fact that 4 ounces represents 25% of the amount in bottle B, we calculated that bottle B must contain 16 ounces of water.

Explanation:

The question asks us to determine how much water is in bottle B given that bottle A contains 4 ounces of water, which is 25% of the amount of water in bottle B. This means bottle A has one-fourth the amount of water that is in bottle B.

To find out how much water is in bottle B, we can set up a simple proportion: if 4 ounces is 25%, then 100% (which is the full amount in bottle B) would be four times as much. Therefore, we multiply 4 ounces by 4.

4 ounces × 4 = 16 ounces

So, bottle B contains 16 ounces of water.

Answer:

C and E

Step-by-step explanation:

Supplementary angles add up to 180

Corresponding angles are the same angle in a different location

Answer:

1 and 5 are supplementary angles

5 and 7 are corresponding angles

Step-by-step explanation:

Final answer:

The total trip cost, including gas, hotel, and food for three people, is $829.70, calculated by multiplying the quantities by their respective unit prices and summing up all costs.

Explanation:

Calculating the Total Trip Cost

To calculate the total cost of the trip, we need to consider the cost of gas, hotel, and food. For gas, the cost is $2.09 per gallon, and the consumption is 30 gallons. The hotel cost is $98 per night for 4 nights. Each person's food cost is $25 per day for 5 days.

Here is the detailed calculation:

Therefore, the total cost of the trip is $829.70.

The total cost of the trip is $705.70.the total cost of the trip amounts to $705.70. This includes various expenses such as gas for the trip calculated at $62.70, hotel expenses totaling $392 for the four-night stay, and food expenses adding up to $375 for three people over five days.

To calculate the total cost, start with the gas cost: 30 gallons * $2.09/gallon = $62.70. Next, calculate the hotel expenses: 4 nights * $98/night = $392. Then, calculate the food expenses: 3 people * $25/day * 5 days = $375. Add all these expenses together: $62.70 (gas) + $392 (hotel) + $375 (food) = $829.70.

However, to account for the cost shared among friends, divide the total by 3: $829.70 / 3 = $276.57 per person. Finally, multiply the individual cost by 3 people to find the total cost: $276.57/person * 3 people = $829.70. The final total cost of the trip, considering shared expenses, is $705.70. This includes gas, hotel accommodation, and food for three individuals across the entire trip duration.

In summary, the total cost of the trip amounts to $705.70. This includes various expenses such as gas for the trip calculated at $62.70, hotel expenses totaling $392 for the four-night stay, and food expenses adding up to $375 for three people over five days.

The calculation incorporates sharing costs among the three friends, dividing the overall expenses equally. Each individual's share amounts to $276.57, resulting in a final total cost of $705.70 for the entire trip. This comprehensive calculation considers all major expenses incurred during the trip and divides the shared costs among the friends, arriving at the total trip expenditure.

Answer:

$1770

Step-by-step explanation:

Remember that percent means "out of 100". 3% as a ratio is 3:100 or 3/100.

59,000 is the total amount, the whole, so it corresponds to 100%.

The problem is asking:

59,000 is to 100 as what is to 3?

59,000/100 = x/3

Cross multiply:

100x = 59,000 * 3

100x = 177,000

x = 1770

The commission is $1770.

An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12.

An expression is a combination of some mathematical symbol such that an arithmetic operator and variable such that all are constrained and create an equation.

The constraint of expression is represented as = or <, >.

As per the given expression,

1/2 × (7x - 3) × 8

Multiply 1/2 and 8

⇒ 1/2 × 8 × (7x - 3)

⇒ 4 × (7x - 3)

⇒ 28x - 12

Hence "An expression is a collection of variables and constant the value of the given expression 1/2 × (7x - 3) × 8 will be 28x - 12".

To learn more about expression,

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Answer:

y = 3x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = - [tex]\frac{1}{3}[/tex] x + 1 is in this form

with slope m = - [tex]\frac{1}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1/3}[/tex] = 3

y = 3x + c ← is the partial equation

to find c substitute (3, 4) into the partial equation

4 = 9 + c ⇒ c = 4 - 9 = - 5

y = 3x - 5 ← equation of perpendicular line

Final answer:

By inserting parentheses to create the expression (6 + 10) x 2, we change the order of operations and get the desired result, which is 32.

Explanation:

The question involves inserting parentheses in the expression 6 + 10 x 2 so that the result of the expression equals 32. According to the order of operations, we typically perform multiplication before addition, so if we compute the expression as it stands, we would get 6 + (10 x 2) = 6 + 20 = 26, which is not the result we want. To achieve the desired result, we need to adjust this order. By adding parentheses, we can change the order in which the operations are performed. Thus, the correct placement of parentheses would be (6 + 10) x 2, which gives us (16) x 2 = 32.

Answer:

The correct option is C.

Step-by-step explanation:

The given expression is

[tex](\frac{25}{36})^{\frac{1}{2}[/tex]

It can be written as

[tex]\sqrt{\frac{25}{36}}[/tex]                          [tex][\because x^{\frac{1}{2}=\sqrt{x}][/tex]

Using the property of radical expression, we get

[tex]\frac{\sqrt{25}}{\sqrt{36}}[/tex]                          [tex][\because \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}][/tex]

[tex]\frac{5}{6}[/tex]

The value of given expression is 5/6. Therefore the correct option is C.

Answer:

The margin of error for a sample size of 250 is 6

Step-by-step explanation:

The margin of error is given as

1/square root of the sample size

Thus, margin of error for a sapless size of 250 is

1/√250

= 1/15. 811

= 6

Answer:

I would have 1 apple

Step-by-step explanation:

5 apples

Gave 4 away

5 - 4 = 1

So you would have 1 apple

Answer:

p > 4 if thats what ur asking.

Step-by-step explanation:

p-1>3

Add 1 to each side, it cancels out the -1

p > 4

Answer:

p>4

Step-by-step explanation:

p-1>3 given

p>4 addition property of equality

Based on the information given regarding the regression line, the correct option is D. That the regression equation is not a good fit for the data.

A regression line simply means a single line that best fits the data. It should be noted that the formula for the regression line is y = mx + b.

Based on the question asked, since the residual plot looks like a quadratic function, it means that the regression equation is not a good fit for the data.

If the regression line is a good fit for the model, there'll be no pattern in the residual. In this case, since there is a residual, it means that the regression equation is not a good fit for the data.

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A residual plot showing a quadratic pattern suggests the current linear regression model is inappropriate and a non-linear model might be required. Answer D is correct: the residual plot indicates the regression equation is not a good fit for the data.

When a residual plot exhibits a pattern, such as a quadratic function, this indicates that the regression equation used to fit the data may not be appropriate; specifically, it suggests that a linear model does not properly capture the relationship between the variables. Instead, the underlying relationship may be better modeled with a non-linear equation, such as a quadratic function.

The correct answer to the student's question is D) That the regression equation is not a good fit for the data.

A good residual plot will have residuals scattered randomly around the horizontal axis, which means that the regression model adequately captures the pattern in the data.

|-10| = 10

39/4 = 9 3/4

-|-10| + 3 - 39/4 = -10 + 3 - 9 3/4 = -7 - 9 3/4 = -16 3/4

Answer:

2:5

Step-by-step explanation:

cats: dogs

8:20

We can divide each by 4

8/4: 20/4

2:5

Answer:

The correct

answer between all the choices given is the second choice or letter B. I am

hoping that this answer has satisfied your query and it will be able to help

you in your endeavor, and if you would like, feel free to ask another question.

Answer:

B) A quadrilateral with one pair of parallel sides

Step-by-step explanation:

Specifically, this is a 4 sided figure with exactly one pair of opposite sides that are parallel. The other two sides are not parallel. A trapezoid can be formed if you draw a parallel segment to one side of a triangle. If you had two pairs of parallel sides, then it would be a parallelogram instead of a trapezoid.

Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (2 - 5)/(-23 - (-8))

m = (2 - 5)/(-23 + 8)

m = (-3)/(-15)

m = 1/5

m = 0.2

-------------------

The answer as a fraction is 1/5

In decimal form, this is equivalent to 0.2

To find the slope, use the slope formula and plug in the two points:

(-8,5) = (x₁ , y₁)

(-23,2) = (x₂ , y₂)

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{2-5}{-23-(-8)}[/tex]

[tex]m=\frac{2-5}{-23+8}[/tex]

[tex]m=\frac{-3}{-15}[/tex]

[tex]m=\frac{1}{5}[/tex]

Answer:

2.64 × 10⁸  

Step-by-step explanation:

When you add numbers in scientific notation, you must convert them to have the same exponents.

One way is to divide the pre-exponential term by some power of 10 and multiply the exponential term by the same number.

    1.02 × 10⁸              = 1.02 × 10⁸

+ (9.4/10¹) × (10⁷×10¹) = 0.94 × 10⁸

+ (6.8/10¹) × (10⁷×10¹) = 0.68 × 10⁸

                     TOTAL = 2.64 × 10⁸

Answer:

D: (-infinity, infinity)   R: (-infinity, infinity)

Step-by-step explanation:

The absolute value of x - 3 is x+ 3.

y = x + 3 + 1

y = x + 4

Your y intercept is your c value. Your c value is 4.

4 is your y intercept.

Place a point on 4. This is your starting point. Rise over run is 1/1

To find the positive points, go up one from the y intercept and over one, repeating the process until you reach the edge of the graph.

To find the negative points, do the opposite. Go down one and to the left, but still repeat the process until you reach the end of the graph.

Linear equations are always ended with arrows on both sides, meaning that the line continues forever, or infinitely.

To find domain, look at the x values.

Because the lines go on infinitely, you know that your domain is (-infinity, infinity).

To find your range, look at your y values.

Because the lines go on infinitely, you know that your range is also (-infinity, infinity).

Make sure to use the symbol for infinity instead of the words. In case you do not know what the infinity symbol is, it simply looks like an 8 that is rotated 90 degrees.

Let the slower runners speed be X kilometers per hour.

Then the faster runners speed would be X+2 kilometers per hour.

The formula for distance is Speed times time.

The distance is given as 30 kilometers and time is given as 3 hours.

Since there are two runners you need to add the both of them together.

The equation becomes 30 = 3x + 3(x+2)

Now solve for x:

30 = 3x + 3(x+2)

Simplify:

30 = 3x + 3x +6

30 = 6x + 6

Subtract 6 from each side:

24 = 6x

Divide both sides by 6:

x = 24/6

x = 4

The slower runner ran at 4 kilometers per hour.

The faster runner ran at 4+2 = 6 kilometers per hour.