For every 10 flowers, there are 36 butterflies resting on the flower with the same number
on each flower. How many butterflies are on one flower? Select all that apply. Then,
explain what concept you applied and why.

A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)

To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:

\(6v(2v) + 6v(3)\)

\(= 12v^2 + 18v7(-5v - 8)\)

To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:

\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)

To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:

\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)

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Answer:

31 years

Step-by-step explanation:

65000*(1.07) ^31 is around $529000

however, 65000*(1.07) ^30 is around $491000

so you would need 31 years to gain more than $500,000.

It will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

To determine the number of years it will take to reach $500,000 in savings with an investment that earns an average of 7% per year, we can use the given investment model equation: y = 65000(1.07)ˣ.

We need to find the value of x, which represents the number of years.

Setting y = $500,000, we can solve for x:

500,000 = 65,000(1.07)ˣ

500,000/65,000 = (1.07)ˣ

100/13 = (1.07)ˣ

To solve for x, we take the logarithm of both sides:

ln 100/13 = ln (1.07)ˣ

ln 100/13 = x ln (1.07)

x = (ln 100/13)/(ln (1.07))

x = 30

Therefore, it will take approximately 30 years to reach $500,000 in savings with an investment that earns an average of 7% per year.

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Answer:

3 cups. 15 cookies to 1 cup of flour.

Step-by-step explanation:

The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.

Answer:

D

Step-by-step explanation:

25 and 6

Coefficient is the number in front of the unknown variable

Identify the coefficient(s) of the variable in the expression below.

25 - 6z

\(\implies {\blue {\boxed {\boxed {\purple {\sf {C. \:6}}}}}}\)

Explanation:

Coefficients are numbers that are attached to variables. In the expression "25 - 6z", 6 is the coefficient since it is attached to the variable z.

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

Step-by-step explanation:

Answer:

(B)

Step-by-step explanation:

4 cans - $0.98

1. $0.98/4 = $0.245 will cost 1 can

2. $0.245 × 5 = $1.225 will cost 5 cans

so $1.225 = $1.23

so the answer is B

Answer:

The correct choice is D.

Answer:

Slope = -1

Step-by-step explanation:

Since, slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Therefore, slope of a line passing through two points A(1, 4) and B(3, 2) will be,

Slope = \(\frac{4-2}{1-3}\)

          = (-1)

Therefore, slope of the line is (-1).

ten more than the product of 8 and a number is less than 26 :

Let the number is x :

product of 8 and a number = 8x

ten more than the product of 8 and a number = 10 more than 8x

ten more than the product of 8 and a number = 10 + 8x

ten more than the product of 8 and a number is less than 26

ten more than the product of 8 and a number < 26

10 + 8x < 26

Answer : 8x + 10 < 26

The running time wοrst case οf deleting a minimum element frοm a (min) binary heap with N elements is O(lοgN). Therefοre, the cοrrect answer is c. O(lοgN).

When deleting the minimum element frοm a binary heap, the heap needs tο be restructured tο maintain its heap prοperty. This restructuring prοcess invοlves mοving elements within the heap and pοtentially swapping elements tο maintain the heap's structure and οrdering.

Since a binary heap is a cοmplete binary tree and has a height οf lοgN, the wοrst-case running time fοr deleting the minimum element is prοpοrtiοnal tο the height οf the heap, which is O(lοgN). This is because the number οf cοmparisοns and swaps required during the restructuring prοcess is dependent οn the height οf the heap.

Therefοre, the cοrrect answer is c. O(lοgN).

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Answer:

\(5x^{4}\)

Step-by-step explanation:

lmk if you need an explanation  :)

As per the given triangle, the scale factor is 24/5

To identify the scale factor, we can choose two corresponding sides of the triangles and set up a proportion. Let's choose the legs of the triangles. We know that the length of the left leg is 5, and the length of the right leg is 25/4. Therefore, we can write:

5/x = 25/4/12

Here, x represents the length of the corresponding leg of the right triangle. We can simplify this proportion by cross-multiplying:

5 x 12 = (25/4) x (x)

Multiplying both sides by 4/25, we get:

(4/25) x 5 x 12 = x

Simplifying, we get:

x = 24/5

Therefore, the scale factor is 24/5. This means that if we multiply the lengths of any side of the left triangle by 24/5, we will get the corresponding length of the right triangle.

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Complete Question:

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.

5 and 12, 25/4 and 15

Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

Domain

\(-\infty \: < x < \infty\)

Range

\(f\left(x\right)\ge \:-7\:\)

Answer:

Step-by-step explanation:

Length of a shoe = 25 centimeters

Converting into meters

= 25/100

= 0.25 meters

Answer:

Step-by-step explanation:

The equation of an ellipse centered at the origin with height 8 units and width 16 units is (x² / 64) + (y² / 16) = 1.

To write the equation of an ellipse centered at the origin with height 8 units and width 16 units, we need to determine the semi-major axis (a) and the semi-minor axis (b). The width corresponds to the horizontal axis, and the height corresponds to the vertical axis.

In this case, the width is 16 units, so half of the width, or the semi-major axis, is 8 units. Thus, a = 8. The height is 8 units, so half of the height, or the semi-minor axis, is 4 units. Therefore, b = 4.

Now, we can use the standard equation for an ellipse centered at the origin:

(x² / a²) + (y² / b²) = 1

Plugging in the values of a and b, we get:

(x² / 8²) + (y² / 4²) = 1
(x² / 64) + (y² / 16) = 1

This is the equation of the ellipse centered at the origin with height 8 units and width 16 units.

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Answer:

7

Step-by-step explanation:

3-7=(-4), -2*(-4)=8, 4+8+16=28, 28/4=7

Using the Pythagorean theorem, we can find the length of the diagonal fence:

diagonal²= length² + width²

diagonal²= 120² + 75²

diagonal² = 14400 + 5625

diagonal²= 20025

diagonal = √20025

diagonal =141.5 feet

Therefore, approximately 141.5 feet of fencing are needed to make a diagonal fence for the lot. Rounded to the nearest foot, the answer is 142 feet.

The probability of getting at least one head in two tosses of a fair coin is 0.75 or 75%.

Probability is a fine conception that measures the liability or chance of an event being. It's expressed as a number between 0 and 1, with 0 indicating that an event is insolvable, and 1 indicating that an event is certain.

given by the question.

The possible issues when tossing a fair coin doubly are HH, HT, TH, and TT. Out of these four issues, three have at least one head HH, HT, and TH.

Since each outgrowth is inversely likely when tossing a fair coin, the probability of getting at least one head in two tosses of a fair coin is.

P (at least one head) = 3/4 = 0.75

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Answer:

b = -20

Step-by-step explanation:

b + 2 = -18

b = -20

Answer:

b= -20

Step-by-step explanation:

the first step is to subtract 2 from both sides of the equation.

b + 2 = -18

   -2      -2

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

the -2 and +2 cancel

b = -20

hope this helps! :D

Answer:

0.6763154335

Step-by-step explanation:

because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.

Answer:

y = -5x - 7

Step-by-step explanation:

(Change in y) / (Change in x)

(3-8) / (-2 - (-3))

-5 / 1

-5 is the slope

So far we have y = -5x

Plug in a set of values and find the difference

3 = -5(-2)

3 = 10

This is false

We need to subtract 7

Our equation therefore is

y = -5x - 7

So to calculate 5 with an exponent of 3, you can write 5, 3 times with a multiplication symbol between them like so: 5 · 5 · 5 When we multiply them together, we get the answer to 5 with an exponent of 3.

Answer:

x = 25 when y = 8

Step-by-step explanation:

If y is inversely proportional to square root of x we write it as
\(y \propto \dfrac{1}{\sqrt{x}}\)

This is also equivalent to
\(y = k \dfrac{1}{\sqrt{x}} \;\;\;\;\ \text{ [1]}\)

where k is a constant known as the constant of proportionality

Given y = 10 when x = 16 we can find k by substituting for y and x in [1]

\(\rightarrow 10 = k\dfrac{1}{\sqrt{16}}\\\\\rightarrow 10 = k \dfrac{1}{4}\\\\\drightarrow 40 = k \:\:\:\: \text{by multiplying both sides by 4}\\\\\text{which can be written as }\\\\k = 40\\\)

So constant of proportionality k = 40

To find x when y = 8, substitute y and k in [1] to get
\(y = k \dfrac{1}{\sqrt{x}}\\\text{Multiply both sides by \sqrt{x} and divide by y at the same time to get}\\\\\sqrt{x} = \dfrac{k}{y}\)

Dividing both sides by y and multiplying by √x gives us
\(\sqrt{x} = \dfrac{k}{y}\\\\\text{Substituting k = 40, y = 8}:\\\\\sqrt{x} = \dfrac{40}{8}\\\\\sqrt{x}= 5\\\\\text{Squaring both sides: }\\\\(\sqrt{x})^2 = 5^2\\\\x = 25 \;\;\;\text{since $(\sqrt{x})^2$ = x}\)

The answer is

x = 20

Formulate y=k/x based on the following criteria.

Replace: 10= k/16

Change the sides so that k/16 = 10.

Subtract the coefficient of the variable from both sides of the equation: k = 10×16

Determine the quotient or product: k = 160

Replace with y = 160/x.

Replace with: 8 = 160/x

The denominator cannot be zero if the fraction is defined: as x ≠ 0

As the domain, append the inequality: 8= 160/x, x≠0

Divide the common denominator by both sides of the equation: 8x = 160x/x, x≠0

8x=160x/x, where x ≠ 0. Reduce the fraction.

By the variable's coefficient, multiply both sides of the equation (x=160÷8, x ≠ 0).

Calculate the quotients or product: x = 20,x ≠ 0

Find the junction at x=20.

Answer : x = 20

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Answer:

1 - G;

2 - R;

3 - E;

4 - D;

5 - T;

6 - J;

7 - O;

8 - B;

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) * 180 ∘ where n is the number of sides.

1) (4 - 2) * 180 = 360 therefore X + 100 + 118 + 53 = 360  =>  X = 360 - 100 - 118 - 53 = 89   =>   X = 89

2) (5 - 2) * 180 = 540  => 90 + 90 + X + 128 + X = 540 => 2*X = 540 - 90 - 90 - 128 = 232   =>   X = 116

3) (6 - 2) * 180 = 720 => 101 + 126 + X + 96 + 147 + 135 = 720 => X = 720 - 101 - 126 - 96 - 147 - 135 = 115   =>   X = 115

4) (9 - 2) * 180 = 7 * 180, since all angles are equal the answer is 7 * 180 / 9 = 7 * 20 = 140    =>   X = 140

5) (5 - 2) * 180 = 540 => 90 + 131 + 102 + X + 145 = 540 => X = 540 - 90 - 131 - 102 - 145 = 72   =>   X = 72

6) Since the sum of the linear pair angles equal 180, X = 180 - 70 = 110 => X = 110

7) (4 - 2) * 180 = 360; Linear pair angle for 73 is 180 - 73 = 107, that means X + 102 + 39 + 107 = 360  =>  X = 360 - 102 - 39 - 107 = 112   =>   X = 112

8) (5 - 2) * 180 = 540;  Linear pair angle for 84 is 180 - 84 = 96;  Linear pair angle for 79 is 180 - 79 = 101;  Linear pair angle for 34 is 180 - 34 = 146; so X + 90 + 96 + 101 + 146 = 540   =>   X = 540 - 90 - 96 - 101 - 146 = 107  => X = 107

The highest point on a bell-shaped curve represents the peak or maximum value of the distribution. This point is known as the mode of the distribution.

In a bell-shaped curve, also known as a normal distribution or Gaussian distribution, the data is symmetrically distributed around the mean. The curve is characterized by a central peak, and the highest point on this peak corresponds to the mode.

The mode represents the most frequently occurring value or the value that has the highest frequency in the dataset. It is the point of highest density in the distribution.

The bell-shaped curve is often used to model naturally occurring phenomena and is widely applied in statistics and probability theory. The mode provides information about the most common or typical value in the dataset and is useful for understanding the central tendency of the distribution.

While the mean and median also have significance in a normal distribution, the highest point on the bell-shaped curve specifically represents the mode, indicating the value with the highest occurrence in the dataset.

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1.

d (days) y (acres burned)

0               4,800

-1                 300

-2                  18.75

-3                   1.17

-5                   0.07

2.

When d = -1, the value of y is 300 acres means that the area burned in the fire was 300 acres one day before the area was first measured.

When d = -3, the value of y is 1.17 acres means that the area burned in the fire was only 1.17 acres three days before the area was first measured.

3.

The fire had only burned a very small area of 0.00025 acres a week before it measured 4,800 acres.

1. we can use the given equation y = (4,800)2^d and substitute the values of d given in the table to get the complete table.

3.

solving the equation y = (4,800)2d for d when y = 4,800 and then subtract 7 from that value.

(4,800)2d = 4,800

2d = 1

d = 0.5

The fire had burned for 0.5 days (or 12 hours) before it measured 4,800 acres.

To find out how much area the fire had burned a7 days before this measurement, we will then substitute d = -6.5 into the equation:

y = (4,800)2(-6.5) ≈ 0.00025 acres

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Answer:

B.2 cups

Step-by-step explanation:

Because 1/2+1/2+1/2+1/2=2 cups

Answer:2

Step-by-step explanation:

Remember: 1/2=2 people

So therefore 1/2+1/2+1/2+1/2=2

So two cups of flour will serve eight people

The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.

However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.

For the percentage of newborn African lions weighing less than 3 pounds:

We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.

For the percentage of newborn African lions weighing more than 3.8 pounds:

Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.

Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.

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