Convert 22 yards into feet. Use the rate suggested by the equation 3 feet = 1 yard.
22 yards = ? feet

Answer: Choose A my smart self just knew

Answer: B $2:00

I Just took it

Answer:

$0

as 20 + 30 = 50 and he only had $50

Answer:

(y-8) = -1/2(x+17)

Step-by-step explanation:

slope = (-2 - 8) / (3 - (-17)) = -10 / 20 = -1/2

The correct answer is C: y = -3x - 3. This equation represents the line graphed above with a slope of -3 and a y-intercept of -3.

The equation that describes the line graphed above is option C: y = -3x - 3.

To determine the equation of a line, we need to use the slope-intercept form, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept.

Looking at the line graphed above, we can determine the slope by comparing the change in y to the change in x. For every 1 unit increase in x, the line decreases by 3 units in the y-direction. Therefore, the slope is -3.

Next, we need to determine the y-intercept, which is the value of y when x is equal to 0. By looking at the graph, we can see that the line intersects the y-axis at y = -3.

Putting it all together, we have the equation y = -3x - 3. This equation represents a line with a slope of -3 and a y-intercept of -3.
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1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.

How do you find the 5 number summary?

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.

Smallest value = 1.0

Median of the first half data Q1 = 3.5

Median Q2= 5.0

Median of the second half data Q3 = 6.5

Largest number = 10.0

The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

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The greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

To find the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 - 18x^2\), we need to identify the largest expression that divides evenly into each term.

Let's break down each term individually:

\(8x^4\) can be factored as 2 × 2 × 2 × x × x × x × x

\(-4x^3\) can be factored as -1 × 2 × 2 × x × x × x

\(-18x^2\) can be factored as -1 × 2 × 3 × 3 × x × x

Now, let's look for the common factors among these terms:

The common factors for all the terms are 2 and \(x^2\).

Therefore, the greatest common factor (GCF) of the terms in the polynomial \(8x^4 - 4x^3 -18x^2\) is \(2x^2.\)

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Answer:

l

Step-by-step explanation:

Answer:

Miss Bloom spent $48.47 in total

Step-by-step explanation:

turn 7% into a decimal --> 0.07

multiply the cost of art supplies by the tax % (in decimal form)

45.30(0.07) = 3.171

add 3.171 to the original cost of art supplies

45.30 + 3.171 = 48.471

round to the nearest hundreths place (since money typically only has 2 decimal places)

48.471 --> 48.47

therefore, miss bloom spent $48.47 in total

Answer:

2 x-intercepts at 3 and 9

Step-by-step explanation:

x^2-12x+27=0

(factoring)

(x-3)(x-9)=0

this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.

Answer:

Exponential decay; 4

Step-by-step explanation:

This represents exponential decay, because the number which is being raised to the power x is less than one. This means that as x increases, y decreases.

The y-intercept occurs when x is equal to zero. When x = 0, we have \(y = 4(5/6)^0 = 4(1) = 4\), so the y-intercept is 4.

Answer:

Now you can give the other person brainliest

Answer:

Step-by-step explanation:

D the width is higher than the pressure of it (32h) so that would mean younger 2) 3425 psi of worth

The probability of winning the game is 5/12.Explanation:We know that the game consists of two steps. First, you roll a die. If you roll an even number, you continue; otherwise, you lose the game. If you rolled an even number and can continue playing the game, the second step is to draw a random card from a standard deck of 52 playing cards.

If you draw an even number (i.e., 2, 4, 6, 8, or 10), you win. From the given condition, If you roll an odd number in the first step, the game ends and you lose. The probability of rolling an odd number is 3/6 (since 3 out of 6 sides of a standard die are odd numbers), which simplifies to 1/2 or 0.5.

So, the probability of rolling an even number in the first step is 1/2. If you roll an even number, you move on to the second step.Now, you need to draw an even number from a standard deck of 52 cards.

Since there are 5 even numbers (2, 4, 6, 8, and 10) in a deck of 52 cards, the probability of drawing an even number is 5/52, which simplifies to 5/52.

This is because there are 13 cards of each suit in a deck of cards, and only 5 of these cards are even. So, to win the game, you need to roll an even number in the first step AND draw an even number in the second step.

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Answer:

31.74 million

Step-by-step explanation:

Answer:

1. x-intercept = 3/-5 = -0.60000

 y-intercept = 3/1 = 3

2. x-intercept = 3/3 = 1

 y-intercept = 3/1 = 3

Step-by-step explanation:

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-5x-3  = 0 and calculate its properties

When y = 0 the value of x is 3/-5 Our line therefore "cuts" the x-axis at x=-0.60000

The points of intersection of the graphs of f(x) and g(x) are (5.5, -26.75) and (-1, 9).

To find the points of intersection of the graphs of the functions f(x) = x^2 - 10x - 2 and g(x) = -x^2 - x + 9, we need to solve the equation f(x) = g(x).

Setting the two functions equal to each other, we have:

x^2 - 10x - 2 = -x^2 - x + 9

Rearranging the equation, we get:

2x^2 - 9x - 11 = 0

Now, we can solve this quadratic equation. We can either factor it or use the quadratic formula.

Since factoring may not be straightforward, let's use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

For our quadratic equation, a = 2, b = -9, and c = -11. Plugging these values into the quadratic formula, we get:

x = (-(-9) ± √((-9)^2 - 4 * 2 * (-11))) / (2 * 2)

= (9 ± √(81 + 88)) / 4

= (9 ± √(169)) / 4

= (9 ± 13) / 4

This gives us two possible solutions:

When x = (9 + 13) / 4 = 22 / 4 = 5.5

When x = (9 - 13) / 4 = -4 / 4 = -1

These are the x-values at which the graphs of f(x) and g(x) intersect.

To find the corresponding y-values, we can substitute these x-values into either of the original functions. Let's use f(x):

For x = 5.5:

f(5.5) = (5.5)^2 - 10(5.5) - 2

= 30.25 - 55 - 2

= -26.75

For x = -1:

f(-1) = (-1)^2 - 10(-1) - 2

= 1 + 10 - 2

= 9

So, the points of intersection of the graphs of f(x) and g(x) are (5.5, -26.75) and (-1, 9).

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Answer:

11

Step-by-step explanation:

7e + 103 = 180

Subtract 103 from both sides

7e = 77

Divide 7 from each side

e = 11

The correct transformations:

1) 3 x Equation [A2] + Equation [A1] → Equation [B1]

2). 1/11 x Equation [B1} → Equation [C1]

The correct options are D and A respectively.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

We have three systems of linear equations.

To transform system A into system B:

Multiply 3 to the equation A2 and then add to equation A1,

we get,

-7x +18x -6y + 6y = 10- 54

11x = -44

equation B1.

To transform system B into system C:

Multiply 1/11 to equation B1,

we get,

x = -4

equation C1.

Therefore, the transformations are given above.

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Answer:

39

Step-by-step explanation:

The given expression is (ab) (abc) (ab).The expression can be concisely described as "a squared b squared c". Now, let's simplify the given expression to better understand the language it defines.

To simplify the expression, we will first group similar terms and then use the associative law of multiplication, which states that changing the grouping of terms in multiplication does not affect the result.

Let's group similar terms:

(ab)(abc)(ab) = (ab)(ab)(abc)

Now, we can use the associative law to rearrange the terms:

(ab)(ab)(abc) = a(bb)a(bc) = a²b²c

In English, the language defined by this expression is the square of the product of two distinct variables, a and b, multiplied by a third variable, c.

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Step-by-step explanation:

Make the facts and then you can get the answer easily

Answer:

a = 78.56 cm2

Step-by-step explanation:

área de un círculo

\(a=\pi r^{2}\)

r = 5

\(a=\pi (5)^{2} =25\pi =78.56m^{2}\)

Hope this helps

Answer:

X = - 6

Step-by-step explanation:

18x + 30 = 6(2x – 1)

Multiply 6 to 2x and - 1

18x + 30 = 12x – 6  

Subtract 30 on both sides

18x = 12x – 36  

Subtract 12x on both sides

6x = - 36  

Divide by 6 on both sides

X = - 6  

Step-by-step explanation:

Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}

Total=24

Multiples of 5={10,20,30,40}

Probability (multiple of 5)=4/24

=1/6

P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28

Total=9

Probability=9/24

=3/8

Probability is number 12

=1/24

Probability it has square less than 40

=(4,36)

Two numbers

Probability=2/24

=1/12

As [K(u): K] is an odd integer, it can be represented as 2n+1, where n ∈ N. So, [K(u²): K] = deg(f(x)) = 1 and K(u) = K(u²).

Given that KCF be a field extension and let u ∈ F such that [K(u): K] is an odd integer.

We are to show that u² is algebraic over K with [K(u²): K] odd and that K(u) = K (u²).

Now consider, K ⊆ K(u²) ⊆ K(u).Thus [K(u²): K] is a factor of [K(u): K].

Therefore, [K(u²): K] is odd. Let f(x) be the minimal polynomial of u over K(u²).

As u ∈ K(u), it means that f(u) = 0.As K ⊆ K(u²), it means that u² ∈ K(u).Hence, there exists an element a ∈ K such that u² = a + bu, where b ∈ K. It follows that u² - a = bu.

Now, squaring both sides, we get u⁴ - 2au² + a² = b²u².Note that LHS is an element of K and RHS is an element of K(u), thus it must be in K. Now u⁴ - 2au² + a² = b²u² ∈ K.(u⁴ - 2au² + a²) - b²u² = 0.

Now let g(x) = x⁴ - 2ax² + a² - b²x = x(x² - a)² - b²x = x(x- √a b)(x+ √a b).Here, g(x) ∈ K[x] and g(u²) = 0.

As g(x) is a polynomial of degree 3 over K(u²), it is also a factor of the minimal polynomial of u² over K(u²).

Since, g(u²) = 0, it means that f(x) is a factor of g(x).Therefore, g(x) = f(x)h(x), for some h(x) ∈ K(u²)[x].

As h(x) is a polynomial in K(u²)[x], it can be written as h(x) = c₀ + c₁x + ... + cₙ xⁿ, where cᵢ ∈ K(u²) and cₙ ≠ 0.

Therefore, g(x) = f(x)(c₀ + c₁x + ... + cₙ xⁿ).Since g(x) is a polynomial of degree 3 over K(u²),

it means that n = 3.If n = 1, then it means that [K(u): K(u²)] = 1, which contradicts the fact that [K(u): K] is odd.

Since n = 3, we have, g(x) = f(x)(c₀ + c₁x + c₂x² + c₃ x³).Since deg(g(x)) = 3, it means that c₃ ≠ 0.So, f(x) must be of degree 1 and it means that u² is algebraic over K and f(x) is its minimal polynomial.

So,  K(u) = K(u²) and [K(u²): K] = deg(f(x)) = 1.

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Answer:

about $1250 per year.

Answer:

2/7

Step-by-step explanation:

This is easy! No need to over think it btw!

1) whenever you divide by a whole number such as in this case;4. You need to put a 1 under 4... like this: 4/1 (so it can become a fraction!)

2) Use KEEP, CHANGE, FLIP when you are dividing fractions!

    8/7 --> you keep that number

    ÷ ---> × = you change the division sign into multplication sign

    4 ---> 1/4  = you put 1 over 4 and flip it which you get from 4/1  --> 1/4

3) Your would look like this....

   8/7 * 1/4 = ?

4) Muliply horizontally; 8 * 1 = 8 , 7 * 4 = 28

5) You get 8/28   Don't forget to simplify!!!

6) 8/4 / 32/4 = 2/7

ALSO, here's an example of KEEP, CHANGE, FLIP:

3.) The angle of elevation to the button, given the chair's position and the button's height, is approximately 40.6 degrees.

4.) The horizontal distance between Spiderman and the safe spot, based on the angle of depression and the given distance, is approximately 158.8 feet.

3.) To determine the angle of elevation to the button, we can use the trigonometric tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side.

In this case, the opposite side is the vertical distance from the chair to the button (5 feet) and the adjacent side is the horizontal distance from the chair to the wall (6 feet). Therefore, the angle of elevation (θ) can be calculated as:

θ = arctan(5/6)

Using a calculator or trigonometric table, we find that the angle of elevation to the button is approximately 40.6 degrees.

4.) To find the horizontal distance between Spiderman and the safe spot, we can use the trigonometric tangent function again. The tangent of an angle is equal to the opposite side divided by the adjacent side.

In this case, the opposite side is the vertical distance from Spiderman's position to the safe spot (which is not provided) and the angle of depression is given as 42 degrees. We need to find the adjacent side, which represents the horizontal distance.

Using the tangent function:

tan(42°) = opposite side / adjacent side

Since the angle of depression is given as 42 degrees and the opposite side is 182 feet, we can rearrange the equation to solve for the adjacent side (horizontal distance):

adjacent side = opposite side / tan(42°)

adjacent side = 182 / tan(42°)

Calculating this expression gives us the horizontal distance between Spiderman and the safe spot, which is approximately 158.8 feet.

Therefore, the horizontal distance between Spiderman and the safe spot is approximately 158.8 feet.

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Water fills the cone to a capacity of 75%. 0.75 is the decimal equivalent of 75%.

Find the whole amount of what you're looking for to get a percentage of.

To calculate the percentage, divide the number.

Add 100 to the value.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the sign "%" or just "percent" or "pct." For instance, 35% is equal to the fraction 0.35 or the decimal 0.35.

The value of the number out of 100 is the proportion of the number. For instance, there are 26 females and 24 boys in a class. As a result, 52 out of 100 students in the class are females, or 52% of the class.

The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Percentages.

According to our question-

volume of water  =  (3/4) * (1/3)(a)(h)

volume of water  =  (3/4) * volume of cone

volume of water  =  75% of the volume of cone

75% of the cone's volume is filled with water.

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The equation for a parabola with a focus at (-4, 3) and a directrix at y = 5 is; y = ¹/₄(x + 4)² + 4

The standard form of the equation of a parabola is given by;

(x - h)² = 4p(y - k)

where;

We are given the coordinates of the focus of the parabola as (-4, 3)

Thus, from (h, k + p)

h = -4

k + p = 3  ---- (eq 1)

From y = k - p,  since it has a directrix of y = 5, then;

k - p = 5  ---- (eq 2)

→ Add equations (1) to (2) to get;

2k = 8

k = 8/2

k = 4

Put 4 for k in equation (1) to get

4 + p = 3

p = 4 - 3

p = 1

Plugging in the relevant values into the standard form of the equation of the parabola gives (x - h)² = 4p(y - k)

(x - (-4))² = 4(1)(y - 4)

⇒ (x + 4)² = 4(y - 4)

⇒ y = ¹/₄(x + 4)² + 4

The equation of the parabola is y = ¹/₄(x + 4)² + 4

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