99x99=
59x98=
49x94=
66x96=

Answer:

48

Step-by-step explanation:

75/100 = 36/x

x = 48

The measure of the angle m∠C = m∠H is equal to 35°.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

Given, Triangle ABC is similar to triangle FGH.

Therefore, m∠A = m∠F = 63° and m∠B = m∠G = 82°.

We know the sum of the measure of all the interior angles in a triangle is 180°.

Therefore, m∠C = m∠H = 180° - 63° - 82° = 35°.

Congruency can be applied to any two dimensional figure, For example,

Two circles are congruent if they have the same radius length.

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The correct option is (B) generated randomly from probability distributions.

The values for random variables in a Monte Carlo simulation are generated randomly from probability distributions.

A frequency distribution that has been idealized is a probability distribution. An individual sample or dataset is described by its frequency distribution. It's the number of times in the dataset that each possible value of a variable appears. The probability of occurrence of a value determines how frequently it appears in a sample.

A random variable can have any number of alternative values and likelihoods within a particular range, and a probability distribution is a statistical function that captures all of these possibilities. This range will be constrained by the minimum and maximum possible values, but the location of the possible value on the probability distribution will rely on a number of other variables.

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Answer: Approximately 390,244 people per square mile

Work Shown:

Density = population/area

Density = (8 million people)/(20.5 square miles)

Density = 390,243.9024 approximately

This rounds to 390,244 since we're talking about the number of people.

If there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

each slice of the 12-inch thin-crust cheese pizza would have an equal distribution of sauce and toppings. This means that each slice would have the same amount of sauce and toppings spread evenly across its surface.

Since the pizza is cut equally into eight slices, each slice would represent 1/8th of the total pizza. Therefore, each slice would have an equal portion of the sauce and toppings.

It's important to note that the exact amount of sauce and toppings on each slice would depend on the original distribution applied to the pizza before it was sliced. If the pizza was prepared with a uniform distribution of sauce and toppings across the entire pizza, then each slice would indeed have an equal amount. However, if there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

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Answer: 2

Step-by-step explanation: 18/9=2

9x/9=x

x=2

Answer:

75 cubic units

Step-by-step explanation:

Bottom layer of a rectangular prism is made up of 15 unit cubes.

Therefore, area of the 15 unit cubes = 15(area of the base of one unit cube)

                                                            = 15(1)²

                                                            = 15 unit²

Number of layers of unit cubes in the rectangular prism = 5

So the height of the prism = 5 units

Volume of the prism = (Area of the base) × Height

                                  = 15 × 5

                                  = 75 cubic unit

Answer:

9

Step-by-step explanation:

because 4+ 5 is= 9

A confidence interval for the mean is said to be symmetrical around the population mean. Symmetry means that the central tendency measures are equally positioned about the middle of the interval.

When constructing a confidence interval, the interval width on either side of the point estimate is equal (assuming a symmetric distribution). The critical values, the margin of error, and the point estimate are all equidistant from the midpoint of the interval.

This is why a confidence interval for the mean is said to be symmetrical around the population mean. Therefore, a confidence interval for the mean is symmetrical around the population mean as long as the population is normally distributed.

Also, it is worth noting that a confidence interval can only be symmetrical if the sample size is large enough. In the case of a smaller sample size, the distribution of the confidence interval may not be entirely symmetrical and may skew to the left or right. The larger the sample size, the more symmetrical the distribution will be.

A confidence interval is typically expressed in a specific range, such as 95 percent, which means that the population mean is expected to fall within that range 95 percent of the time. In conclusion, the symmetry of a confidence interval around the population mean is important for statistical inference because it ensures that the confidence level is maintained.

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9 degrees. -4 + 13= 9.

The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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To prove that a parallelogram is a rectangle, we need to show that it satisfies the properties specific to rectangles.

Opposite sides are parallel: In a parallelogram, this property holds by definition.

All angles are right angles: To prove this, we need to show that one of the angles in the parallelogram is 90 degrees. One approach is to demonstrate that the diagonals of the parallelogram are equal in length, intersect at right angles, and bisect each other.

Diagonals are congruent: If we can prove that the diagonals of the parallelogram are equal in length, it implies that the opposite sides are congruent and the angles are right angles.

If a parallelogram satisfies these properties, it can be concluded that it is a rectangle. The proof involves applying geometric principles, such as the properties of parallelograms and the properties specific to rectangles, to establish these conditions.

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Answer:

\(\dfrac{8}{21}m^2+\dfrac{2}{15}m\)

Step-by-step explanation:

Given expression:

\(-\dfrac{2}{3}m\left(-\dfrac{4}{7}m-\dfrac{1}{5}\right)\)

Apply the distributive law  a(b - c) = ab - ac :

\(\implies \left(-\dfrac{2}{3}m\right)\cdot \left(-\dfrac{4}{7}m\right)-\left(-\dfrac{2}{3}m\right)\cdot \left(\dfrac{1}{5}\right)\)

Apply the rule  -(-a) = a :

\(\implies \dfrac{2}{3}m\cdot\dfrac{4}{7}m+\dfrac{2}{3}m\cdot \dfrac{1}{5}\)

\(\implies \dfrac{2}{3}\cdot\dfrac{4}{7} \cdot m \cdot m+\dfrac{2}{3}\cdot \dfrac{1}{5}\cdot m\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\cdot\dfrac{b}{d}=\dfrac{ab}{cd}:\)

\(\implies \dfrac{2\cdot 4}{3\cdot 7} \cdot m \cdot m+\dfrac{2\cdot 1}{3\cdot 5} \cdot m\)

Simplify:

\(\implies \dfrac{8}{21}m^2+\dfrac{2}{15}m\)

The thickness of the film of oil is approximately 1.0315 cubic miles.

Given the total oil spilled is 250 gallons and the area covered by oil is 1.20 square miles, we need to find the thickness of oil film. We can use the formula for this, which is Thickness of oil film = Volume of oil spilled / Area covered by oil.

To find the volume of oil spilled, we first need to convert gallons to cubic miles, which is 1 gallon = 0.00495113 cubic miles. So, 250 gallons of oil is equal to 0.00495113 x 250 = 1.2377825 cubic miles. Now, we can substitute the values in the formula to find the thickness of the oil film.

Therefore, the thickness of the film of oil is approximately 1.0315 cubic miles.

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Answer: 101 with a Remainder of 2

Step-by-step explanation:

Answer:

4.16% is the hourly growth rate

Step-by-step explanation:

What we can do here is to first set up an exponential relationship that relates the present number of bacteria, the initial number of bacteria, the growth rate of the bacteria and the number of hours.

What we want to establish here has a resemblance with the compound interest formula in finance.

Let’s see the initial number of bacteria as the amount deposited, the present number of bacteria as the amount after some months, the growth rate as the monthly percentage while the number of hours works like the number of months.

Mathematically, what we have will be;

P = I(1 + r)^h

where P is the present bacteria number, I is the initial, r is the growth rate while h is the number of hours.

Thus, we have the following values from the question;

P = 1530

I = 1,300

r = ?

h = 4

Substituting these values, we have;

1530 = 1300(1 + r)^4

divide both sides by 1,300

1.177 = (1+r)^4

Find the fourth root of both sides

(1.177)^(1/4) = 1+ r

1.0416 = 1 + r

r = 1.0416-1

r = 0.0416

This in percentage is 4.16%

Answer:

Janine=12.6(repeating) Samantha=15.6(repeating) Lucy=19.6(repeating)

Step-by-step explanation:

Lets concentrate on one person, Janine.

Janine = Lucy - 7

Janine = Samantha - 3

If the averae of the 3 people's ages is 16, then we should multiple that by three to get 48, the number of their ages combined.

Janine + Lucy + Samantha = 48

The differences between Janine to Lucy and Janine to Samantha combined is 10, so we can subtract that from 48 to get 38, which is 3 times Janines age.

38/3=12.6(repeating)

That is Janine's age. We can use that to find both Lucy's and Samantha's ages respectively by using their equations. Lucy's is 19.6(repeating) and Samantha's is 15.6(repeating). I hope you can give me brainliest, and that this helped!

Answer:

x=3

Step-by-step explanation:

Combine like terms:

-x+9=5x-9

Isolate x:

6x=18

x=3

It take 2 minutes to cross this bridge at a constant speed of 20 miles per hour.

The unitary method is a method for figuring out a single unit's value, then multiplying that value by itself to get the required value. An individual or singular unit is referred to as unitary. Because of this, the goal of this method is to determine values in reference to a single unit. The unitary technique can be used, for instance, to determine how many kilometers a car can go on one litre of gas if it can travel 44 km on two litres of gas. A single unit's value is determined using the unitary approach, and the value of the necessary number of units can then be determined using this value.

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Answer:

V represents final velocity

MORE TO KNOW -

Answer: 15

Step-by-step explanation:

Answer:

\(\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)

Step-by-step explanation:

The question is poorly formatted.

Given

\(\sqrt[3]{2y^3} * 7\sqrt{18y}\)

Required

Derive an equivalent expression

\(\sqrt[3]{2y^3} * 7\sqrt{18y}\)

Express 18 as 9 * 2

\(\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}\)

Split the expression as follows:

\(\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}\)

Take positive square root of 9

\(\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}\)

\(\sqrt[3]{2y^3} * 21 * \sqrt{2y}\)

\(21*\sqrt[3]{2y^3} * \sqrt{2y}\)

The cube root can be rewritten to give:

\(21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}\)

\(\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y\)

So, we have:

\(21*\sqrt[3]{2} * y * \sqrt{2y}\)

Rewrite as:

\(21y *\sqrt[3]{2} * \sqrt{2y}\)

Split \(\sqrt{2y\)

\(21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}\)

Collect Like Terms

\(21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}\)

Represent in index form

\(21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}\)

Apply law of indices

\(21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }\)

\(21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}\)

\(21*y^{\frac{3}{2}} *2^{\frac{5}{6}}\)

\(21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)

Hence:

\(\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})\)

Answer:  

Step-by-step explanation: how much does he have

Answer:

A

Step-by-step explanation:

a function is when the value of x is not repeated

in the other choices you can see that some coordinates have different y-values but some of the x-values are the same

A is the only one in which the x-value is not repeated

Answer:

A

Step-by-step explanation:

A function is an equation which results in 1 y value for every x value,

Therefore lets eliminate the answers that have repeating x values

A - This is a function, all x values have one output (y value)

B - This is not a function, the x value of 1 repeats meaning theres

more than 1 corresponding output or y value

C - This is not a function, the x value 0 repeats

D - This is not a function, the x value(s) -1 and -2 repeat

Therefore A represents a function and the others do not.

Hope this helps

In Problem 1, the measure of each marked angle is as follows:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.In Problem 2, the angles indicated by the letters in the given figure are as follows:c = 65º, d = 95º, e = 65º, f = 95º, g = 85º, and h = 85º.

Problem 1:The measures of the marked angles are as follows:(7x + 19)º and (-3x + 5)º are supplementary angles since they are the interior angles on the same side of the transversal "V Vest".

Therefore, we can say: (7x + 19)º + (-3x + 5)º = 180º Simplifying, 7x + 19 - 3x + 5 = 180

Combine like terms and solve for x: 4x + 24 = 180 4x = 180 - 24 4x = 156 x = 39 Now substitute x = 39 in the given expressions and find the value of each angle.

(7x + 19)º = (7 × 39 + 19)º = 292º(-3x + 5)º

= (-3 × 39 + 5)º = -112º(-8x + 30)º = (-8 × 39 + 30)º

= -282º(32 - 2x)º = (32 - 2 × 39)º = -46º(10x - 10)º

= (10 × 39 - 10)º = 380º(2x + 18)º = (2 × 39 + 18)º = 96º(8x + 14)º

= (8 × 39 + 14)º = 326º(12x + 40)º = (12 × 39 + 40)º

= 508º(20x + 10)º = (20 × 39 + 10)º = 790º

Therefore, the measures of the marked angles are:292º, -112º, -282º, -46º, 380º, 96º, 326º, 508º, and 790º.Problem 2:The angles indicated by the letters in the given figure are as follows: Angle c: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: c = 65º.Angle d: Vertically opposite angles are equal. Therefore, we can say: d = 95º.

Angle e: Alternate interior angles with respect to the parallel lines n and m are equal. Therefore, we can say: e = 65º.Angle f: Corresponding angles with respect to the parallel lines n and m are equal. Therefore, we can say: f = 95º.Angle g: Interior angles on the same side of the transversal are supplementary. Therefore, we can say: g = 180º - 95º = 85º.Angle h: Vertically opposite angles are equal. Therefore, we can say: h = 85º.

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Answer:

15 q4. + 7p2q2 is the correct answer

The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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Answer:

Step-by-step explanation:

This is exponential, of the form

\(y=a(b)^x\) where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

\(y=1200(.97)^x\)

The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.

To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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