A 28 foot ladder is leaning against a building. If the
base of the ladder is 7 feet from the wall, what is the
height of the building?

Answer:

hey hey hey

Step-by-step explanation:

blackpink in your area !

Answer:

3.7018867924 × \(10^{-1}\)

Step-by-step explanation:

First you want to find what these two numbers are, then you divide, then you put that answer in scientific notation.

1.728(109) = 188.352

4.8(106) = 508.80

Now we divide :

188.352 ÷ 508.80 = 0.37018867924

That's a crazy decimal, but luckily because of scientific notation we can make it look a lot simpler.

0.37018867924 =  3.7018867924 × \(10^{-1}\)

This should be right. Please comment if you are confused and want more detail.

What is the quotient of \(1.728*10^9 and, 4.8*10^6\) expressed in scientific notation?

\(\frac{1.728*10^9}{4.8*10^6}\)  Divide

\(\frac{1.728}{4.8} * \frac{10^9}{10^6}\) Divide numbers and 10's separately.

\(0.36*10^3\) Subtract exponents.

\((3.6*10^-^1 )*10^3\) Rewrite as a number bigger than 1

\(3.6*(10^-^1*10^3)\) Associate

       The answer is

\(3.6*10^2\) Add exponents

3 -> 1

6 -> 3 -> 1

4 -> 2 -> 1

i don't know

Answer:

The solution is -22

Step-by-step explanation:

The solution of an equation is the value of the variable of the equation

∵ -(4x - 3) = -7(9 + x)

→ Simplify each side

∵ -(4x) - -(3) = -7(9) + -7(x)

∴ (-4x) - (-3) = -63 + (-7x)

→ Remember (-)(-) = (+) and (-)(+) = (-)

∴ -4x + 3 = -63 - 7x

→ Add 7x to both sides

∴ -4x + 7x + 3 = -63 - 7x + 7x

∴ 3x + 3 = -63

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = -63 - 3

∴ 3x = -66

→ Divide both sides by 3

∴ x = -22

∴ The solution is -22

We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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Answer:  There are 20 questions worth 2 points and 20 questions worth 3 points

Step-by-step explanation:

If there are 20 questions worth 2 points then that is 40 points. 20 questions worth 3 points which is 60 points. 40+60=100 points.

Answer:

eat tacos until you bloat

Step-by-step explanation:

AHAHAHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH MAMAMAMAMAMAA

The defining characteristic of a representative sample is that it is selected in such a way as to assure that it accurately represents the larger population from which it is drawn.

In other words, a representative sample should possess similar characteristics, proportions, and attributes as the population it is intended to represent.

To achieve representativeness, the sample selection process should be carefully designed to minimize biases and ensure that every member of the population has an equal chance of being included in the sample. This typically involves using random sampling techniques, such as simple random sampling or stratified sampling, to eliminate any systematic patterns or favoritism in the selection process.

By obtaining a representative sample, researchers can make valid inferences and generalizations about the population based on the characteristics and findings observed in the sample. It allows them to draw conclusions that can be applied to the larger population with a certain degree of confidence.

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All statements are true for the functions g(x) = x² and h(x) = -x²

A function is a mathematical object that maps input values (also called arguments or independent variables) to output values (also called function values or dependent variables).

G(x) will always be bigger than h for any value of x. (x). This is true because g(x) = x² is always positive or zero, while h(x) = -x² is always negative or zero. Therefore, g(x) will always be greater than h(x).

h(x) will always be bigger than g for any value of x. (x). This statement is false, as we just saw in the previous statement.

g(x) > h(x) for x = -1. This is true because g(-1) = 1 and h(-1) = -1, so g(-1) is greater than h(-1).

For positive values of x, g(x) > h(x). This is true because when x is positive, both g(x) and h(x) are positive, but g(x) is always greater than h(x) because g(x) = x² and h(x) = -x².

For negative values of x, g(x) > h(x). This is false because when x is negative, both g(x) and h(x) are positive, but h(x) is always greater than g(x) because h(x) = -x² and g(x) = x².

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Answer:

20°

Step-by-step explanation:

Rotation is one of 3 basic rigid transformation, it will not change the original shape and size. Therefore angle B' should be still 20°

The degree measurement of angle B′ will be same as angle B that is 20°. Then the correct option is A.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

If the geometry is rotated, then there is no change in anlges.

Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°.

The degree measurement of angle B′ will be same as angle B that is 20°.

Then the correct option is A.

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Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

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swipe the picture to the left ←

\( \mathfrak{WatanabeHaruto}\)

Since the price of the video game is $50

Since the discount from the point is 10%

Then multiply 50 by 10% to find the amount of the discount, then subtract it from $50

Subtract $5 from $50 to find the price after the discount for the points

Since there is another discount of $10, then

Subtract $10 from $45 to find the price at last

Sean pays $35 for the video game

The answer is B

Answer:

\(\displaystyle \lim_{x \to 3^+} f(x) = 2\)

General Formulas and Concepts:

Calculus

Limits

Graphical Limits

Step-by-step explanation:

We are given the limit and the graph of f(x):

\(\displaystyle \lim_{x \to 3^+} f(x)\)

We are trying to find what the value of f(x) is when we approach x = 3 from the right. As we follow the piecewise function from the right, we see that as \(\displaystyle \text{f(x)}\) approaches x= 3, we have f(x) approaching 2.

∴  \(\displaystyle \lim_{x \to 3^+} f(x) = 2\)

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Calculating the area of a triangle:

\(A=\frac{1}{2}bh\)

1. determine base and height measurements

2. apply the formula

\(A=\frac{1}{2}(12m)(8m)\\\)

\(A = 48m^2\)

Answer:

The answer would be about 220 cards on the fourth year.

Step-by-step explanation:

We know the first year he collect 305,178,298.We add those and then subtarct from 1000.Since they are asking about you need to round each one.305->300  178->180  298->300 Now that you got your answer from those (780) subtract that from 1000.You should get 220.

Answer:

Answer: -6b + 5 here you go have a great day:)

Answer:

6b + 5

Step-by-step explanation:

The opposite of (- 3b + 5) + (- 3b) is (3b + 5) + (3b).

3b + 5 + 3b

6b + 5

Answer:

The last 2

Step-by-step explanation:

Thales of Miletus is believed to be the first person who claimed that natural phenomena could be described by mathematics.

Thales of Miletus was a Greek philosopher, mathematician, and astronomer who lived around 624 BCE to 546 BCE. He is widely regarded as one of the Seven Sages of Greece and is known for his contributions to various fields, including geometry, astronomy, and philosophy.

Thales believed that everything in the universe could be explained by natural causes rather than the actions of gods or other supernatural forces. He also believed that these natural phenomena could be described mathematically. For example, Thales was able to predict an eclipse of the sun using his knowledge of geometry and astronomy.

Therefore, Thales of Miletus is often regarded as the first scientist in history because of his emphasis on using reason and evidence to explain the natural world.

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Step-by-step explanation:

or,6+2a=6+3a

or,6-6=3a-2a

or,o=1a

therefore, 1a=0

The probability that the number of 0's in a randomly generated bit string of length 8 is different from the number of 1's is 56/256, or 7/32.

To understand why, let's consider the possible combinations of 0's and 1's in an 8-bit string. There are a total of 2^8 = 256 possible outcomes. Out of these, we need to determine the number of outcomes where the number of 0's and 1's is different.

One way to approach this is by counting the number of strings with 4 zeros and 4 ones, and then subtracting it from the total number of outcomes. The number of ways to arrange 4 zeros and 4 ones is given by the binomial coefficient C(8,4) = 70. Thus, there are 70 outcomes where the number of 0's and 1's is equal.

Subtracting this from the total number of outcomes, we get 256 - 70 = 186 outcomes where the number of 0's and 1's is different. Therefore, the probability of having an unequal number of 0's and 1's is 186/256, which simplifies to 7/32, or approximately 21.9%.

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The probability that a cake purchased by a woman is a chocolate cake is approximately 0.7778, or 77.78%.

The probability that a woman purchases a chocolate cake can be calculated using conditional probability.

Let's denote the events:

A: Woman purchases a chocolate cake.

B: Woman purchases a cake.

We are given the following information:

P(Banana) = 0.3 (30% of cakes are banana)

P(Chocolate) = 0.7 (70% of cakes are chocolate)

P(Banana|Man) = 0.6 (60% of banana cakes are purchased by men)

P(Chocolate|Man) = 0.4 (40% of chocolate cakes are purchased by men)

We need to find P(Chocolate|Woman), which represents the probability that a cake purchased by a woman is a chocolate cake.

Using Bayes' theorem, we can write:

P(Chocolate|Woman) = P(Chocolate) * P(Woman|Chocolate) / P(Woman)

P(Woman) can be calculated as:

P(Woman) = P(Banana) * P(Woman|Banana) + P(Chocolate) * P(Woman|Chocolate)

= 0.3 * (1 - 0.6) + 0.7 * (1 - 0.4)

= 0.3 * 0.4 + 0.7 * 0.6

= 0.12 + 0.42

= 0.54

Substituting the values into the equation for P(Chocolate|Woman), we get:

P(Chocolate|Woman) = 0.7 * (1 - 0.4) / 0.54

= 0.7 * 0.6 / 0.54

= 0.42 / 0.54

≈ 0.7778

Therefore, the probability that a cake purchased by a woman is a chocolate cake is approximately 0.7778, or 77.78%.

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To convert radians to degrees we have to multiply the angle by the factor

Then

Therefore in degrees the angle is 171.89°.

As we have used the combination method to determine the number of different eight-card hands that contain exactly two suits, with four cards from each suit, which is equal to 13,462,080.

To determine the number of different eight-card hands that contain exactly two suits, with four cards from each suit, we need to use the combination method. First, we need to select two suits out of the four available suits. We can do this in 4 choose 2 ways, which is represented mathematically as ⁴C₂.

Finally, we need to combine the two sets of four cards each to form a single eight-card hand. We can do this in 8! ways, where 8! represents the total number of ways in which we can arrange the eight cards in the hand.

Therefore, using the combination method, the total number of different eight-card hands that contain exactly two suits, with four cards from each suit, is given by:

⁴C₂ x (¹³C₄) x (¹³C₄)  x 8! = (4!/(2!2!)) x (715715) x 40,320

= 13,462,080

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Answers with Explanation:

12. In the picture we saw that there are 3 pears, if one of the factors is \(\frac{1}{2}\)

then we know that the other factor is 6 because \(6 * \frac{1}{2}\) is equal to 3.

So the equation is:

\(6 * \frac{1}{2} = 3\)

13. How you could get the answer for \(45 * \frac{7}{9}\) mentally? Well, you only need to  divide 45 by 9 and then multiply the answer by 7.

So:

45 ÷ 9 = 5

5 × 7 = 35

14. If 2.99 - 1 is equal to 1.99 that means that is less.

Explanation:

\(2.99-1=1.99\) (that means that is less than 3)

Hope this helps :)

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So, approximately 7.71 grams of radium will be present after 100 years.

To calculate the remaining amount of radium after 100 years, we will use the half-life formula:
Remaining Amount = Initial Amount * (1/2)^(time passed / half-life)
Here, the initial amount is 8 grams, the half-life is 1690 years, and the time passed is 100 years.
Step 1: Plug in the values
Remaining Amount = 8 * (1/2)^(100 / 1690)
Step 2: Calculate the exponent
Exponent = 100 / 1690 ≈ 0.05917
Step 3: Calculate the base raised to the exponent
(1/2)^0.05917 ≈ 0.9634
Step 4: Multiply the initial amount by the base raised to the exponent
Remaining Amount = 8 * 0.9634 ≈ 7.7072
So, approximately 7.71 grams of radium will be present after 100 years.
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This is the solution to the given initial value problem using the Laplace transform method.

To solve the given IVP using the Laplace transform method, we first apply the Laplace transform to the differential equation y'' - y = t - 2 with the initial conditions y(2) = 3 and y'(2) = 0.

Taking the Laplace transform of the given equation, we get:

L{y''}(s) - L{y}(s) = L{t - 2}(s)

Now, we apply the Laplace transform properties for derivatives:

s^2Y(s) - sy(2) - y'(2) - Y(s) = (1/s^2) - (2/s)

Given the initial conditions y(2) = 3 and y'(2) = 0, we can plug them into the equation:

s^2Y(s) - 3s - Y(s) = (1/s^2) - (2/s)

Now, solve for Y(s):

Y(s) = (1/s^2) - (2/s) + 3s/(s^2 + 1) + 1/(s^2 + 1)

Next, perform the inverse Laplace transform to find y(t):

y(t) = L^{-1}{Y(s)}

y(t) = t - 2 + 3(sin(t) - 2cos(t)) + cos(t)

This is the solution to the given initial value problem using the Laplace transform method.

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Answer: O A.52 cubic yards

Step-by-step explanation: if u add 3+9+4+8+6+22= 52 cubic yards in the total volume of the figure :>