Calculate ff(-3). You will get BRAINLIEST.

19 Step-by-step explanation:

Answer:

3.45 sqft

Step-by-step explanation:

Calculate all the areas individually, the 3 lateral sides are the same and using the formula for area we have 1/2 base times height. The height is 2 ft and the base is 1 ft so the area of one of the lateral sides is 1 ft.

There are three lateral sides so you multiply 1 by 3 to get 3.

The base is done the same way. It's base is 1 ft and it's height is 0.9ft so the area is 0.45.

3 + 0.45 = 3.45

The surface area is 3.45 sqft.

I could be wrong but the formula and process is the same, calculate the sides individually using the base height formula for area.

Answer:

\(Luke = 0.75\)

\(Owen = 0.04\)

\(Jacob = 2.20\)

Step-by-step explanation:

Given

Model: Hundredth decimal

\(Luke = \frac{3}{4}th\)

\(Owen = 4\ small\ squares\)

\(Jacob =2\ models + \frac{2}{10}th\)

Required

Determine the decimal equivalent of each boy

There are 100 squares in a hundredth decimal model

Each of the square as a value of 1/100

For Luke:

\(Luke = \frac{3}{4}th\)

This implies that

\(Luke = \frac{3}{4} * 100\)

\(Luke = \frac{300}{4}\)

\(Luke = 75\ squares\)

Multiply this by 1/100

\(Luke = 75 * \frac{1}{100}\)

\(Luke = \frac{75}{100}\)

\(Luke = 0.75\)

For Owen:

\(Owen = 4\ small\ squares\)

Multiply this by 1/100

\(Owen = 4 * \frac{1}{100}\)

\(Owen = \frac{4}{100}\)

\(Owen = 0.04\)

For Jacob:

\(Jacob =2\ models + \frac{2}{10}th\)

Add  both numbers (Take LCM)

\(Jacob = \frac{20 + 2}{10}\ th\)

\(Jacob = \frac{22}{10}\ th\)

Multiply by 100 to get the actual number of squares

\(Jacob = \frac{22}{10}\ * 100\ squares\)

\(Jacob = \frac{2200}{10}\ squares\)

\(Jacob = 220\ squares\)

Multiply by 1/100 to get the decimal equivalent

\(Jacob = 220 * \frac{1}{100}\)

\(Jacob = \frac{220}{100}\)

\(Jacob = 2.20\)

Answer:

#8)  x = 12

Step-by-step explanation:

vertical angles are congruent

5x + 10 = 70

5x = 60

x = 12

Answer:

3 : 6 : 2

Step-by-step explanation:

Given

b = 3c ( divide both sides by 3 )

c = \(\frac{1}{3}\) b , that is

c = \(\frac{1}{3}\) × 2 = \(\frac{2}{3}\)

Thus

a : b : c = 1 : 2 : \(\frac{2}{3}\) ( multiply all parts by 3 )

a : b : c = 3 : 6 : 2

The standard deviation is a more technical measure and may not be as easily understood by a high school student is 50%

A histogram is a graph that represents the distribution of data. It uses bars to show the frequency of data within different ranges or bins. The height of each bar represents the number of observations within that bin.

In the case of the life expectancies at birth for 190 countries, the histogram shows the frequency of the different ranges of life expectancies. To describe the spread of the data, we can use either the standard deviation or the interquartile range (IQR).

The standard deviation is a measure of how far each observation is from the mean of the data set. It is calculated by finding the difference between each observation and the mean, squaring those differences, and taking the average of the squared differences. The standard deviation gives a measure of the amount of variability in the data.

The IQR is a measure of the spread of the data that is based on the middle 50% of the observations.

It is calculated by finding the first quartile (25th percentile), the median (50th percentile), and the third quartile (75th percentile).

The IQR is then defined as the difference between the third quartile and the first quartile.

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Answer:

A is a, B is X=5 and y=6, C is B

Step-by-step explanation:

Because MATH!

Answer:

\(24\)

Step-by-step explanation:

\(20%\) of \(120\)\(=24\)

The probability that a randomly selected Manhattan resident spends New Year's Eve at Times Square, given that the resident is out of town on New Year's Eve, is 0.

If the resident is out of town on New Year's Eve, it implies that they are not present in Manhattan during that time. Therefore, it is not possible for them to spend New Year's Eve at Times Square if they are not in town.

Since the resident is out of town, the probability of them being at Times Square on New Year's Eve is zero. Probability is a measure of the likelihood of an event occurring, ranging from 0 (impossible) to 1 (certain). In this case, the event of a resident being at Times Square on New Year's Eve is impossible because they are out of town.

Hence, the probability of a randomly selected Manhattan resident spending New Year's Eve at Times Square, given that they are out of town on New Year's Eve, is 0.

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Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

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

A decaying linear function has the following format:

\(A(t) = A(0) - mt\)

In which

The equation is:

\(A(t) = 45 - 1.7t\)

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

\(11 = 45 - 1.7t\)

\(1.7t = 34\)

\(t = \frac{34}{1.7}\)

\(t = 20\)

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

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For the given differential equation xy' - y = x, the required solutions are:

General solution: y = -x + C, where C is a constant.

Particular solution for y(1) = 16: y = -x + 17.

Given that,

Differential equation: xy' - y = x

Initial condition: y(1) = 16

Assumption: x > 0

To find the general solution,

Rearrange the equation to isolate dy/dx:

dy/dx = (y - x) / x

Now, solve this first-order linear differential equation using the separation of variables.

Start by multiplying both sides of the equation by dx and x:

x dy = (y - x) dx

Expanding this equation, we get:

xy - x² = y dx

Rearranging further, we have:

y dx - x dy = x²

To simplify, we divide both sides by x²:

(y/x) dx - dy = 1

Now, let's integrate both sides of the equation.

Integrating (y/x) dx with respect to x gives:

∫(y/x) dx = ∫dx

∫(y/x) dx = x + C1

Integrating -dy with respect to y gives:

-∫dy = -y + C2

Combining the two equations, we have:

x + C1 = -y + C2

Rearranging, we get:

y = -x + (C2 - C1)

So, the general solution to the differential equation is y = -x + C,

Where C = (C2 - C1) is a constant.

Now, use the given initial condition y(1) = 16 to find the particular solution. Substituting x = 1 and y = 16 into the general solution equation,

we have:

16 = -(1) + C

Simplifying further, we find:

C = 17

Therefore, the particular solution for y(1) = 16 is y = -x + 17.

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The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

\($b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}\)

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

(s⁻⁵)³

We can write the expression as -

(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵

Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.

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Answer:

  m∠B ≈ 51.5°

Step-by-step explanation:

A triangle solver can find this answer simply by entering the data. If you do this "by hand," you need to first find length BC using the Law of Cosines. Then angle B can be found using the Law of Sines.

The Law of Cosines tells us ...

  a² = b² +c² -2bc·cos(A)

  a² = 21² +13² -2(21)(13)cos(91°) ≈ 619.529

  a ≈ 24.8903

The Law of Sines tells us ...

  sin(B)/b = sin(A)/a

  B = arcsin(sin(A)×b/a) = arcsin(sin(91°)×21/24.8903)

  B ≈ 57.519°

The measure of angle B is about 57.5°.

The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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Answer:

The thickness of the new dirt cover is 0.144 yards.

Step-by-step explanation:

Dimension of garden = 25 feet by 25 feet.

Volume of soil bought = 10 cubic yards

Volume = length x width x height

But,

1 foot = 0.333333 yard

So that,

25 feet = 25 x 0.333333

            = 8.33333 yards

The new dimension of the garden = 8.33333 yards by 8.33333  yards.

Let the thickness of the new dirt cover be represented by h.

Thus,

Volume = 8.33333 x 8.33333 x h

10 = 69.44439 x h

h = \(\frac{10}{69.44439}\)

  = 0.144

h = 0.144 yards

The thickness of the new dirt cover is 0.144 yards.

Answer:

a. y = 4x  b. 48 feet

Step-by-step explanation:

y = mx + b

Plotted points found:

(5,20) (10,40)

Delta y/Delta x

(40-20)/(10-5)

20/5 = 4

Slope: 4

y = 4x + b

The y-intercept is when x = 0. In this case, the y-intercept is 0.

Equation: y = 4x

b.

y = 4(12)

y = 48 feet

Answer:

See answer below.

Step-by-step explanation:

Find three ordered pairs for the graph y > -x - 3

x      0        5       -3

y      -3      -8        0

No graphs to pick from! You did not add the picture.

However, the graph is a solid line with points (0, -3), (5, -8), and (-3, 0) on it and for the  > shaded the region above the line.

Answer:

r < 3

Step-by-step explanation:

Step 1: Write out inequality

5r + 2 < 17

Step 2: Subtract 2 on both sides

5r + 2 - 2 < 17 - 2

5r < 15

Step 3: Divide both sides by 5

5r/5 < 15/5

r < 3

In this case, r has to be smaller than 3. So anything like -2, -15, or even -12413573875942 works as r, as long as it's smaller than 3.

If the expression is log₃9x⁵,then the expanded form of this expression is \(log_{3}\)9 +5\(log_{3}\)x.

Given that the expression is log₃9x⁵.

We are required to find the expanded form of the expression.

Product property of logarithms says that the logarithm of a product is equal to a sum of logarithms and because logs are exponents, and we multiply like bases, we can add the exponents.

The expression is log₃9x⁵.

log₃9x⁵=is \(log_{3}\)9 +\(log_{3}\)\(x^{5}\)

= \(log_{3}\)9 +5\(log_{3}\)x

Hence if the expression is log₃9x⁵,then the expanded form of this expression is  \(log_{3}\)9 +5\(log_{3}\)x.

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Answer:

Step-by-step explanation:

Answer:

The product is 120

Step-by-step explanation:

(-10) × (-12) = 120

Thus, The product is 120

-TheUnknownScientist

Answer:

$16.20

Step-by-step explanation:

to find the sales tax multiply the original number by the sales tax. 15*.08 is 1.2. Then add that to $15

Answer:

Step-by-step explanation:

We don't have Adrian's batting data, but we can find Marlon's ratio thorugh dividing the hits by the total bats.

\(M=\frac{6}{15}=0.4\)

Therefore, Marlon has a 40% of hits, which means Adrian needs more than 40% to be better.

Answer:

12 units

Step-by-step explanation:

\(\sin 30\degree = \frac{AC}{BC} \\ \\ \frac{1}{2} = \frac{AC}{24} \\ \\ 2AC = 24 \\ \\ AC = \frac{24}{2} \\ \\ AC = 12 \: units\)

Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∧ ¬P(2) ∧ ¬P(3)) which translates to "(1 ≥ √10 and 4 ≥ √10 and 9 ≥ √10)"Note: √10 is not a positive integer less than 4.

In this problem, P(x) is the statement "x2 < 10", and the domain consists of positive integers less than 4. We are to write out each of these propositions using disjunctions, conjunctions, and negations (i.e. rewrite the propositions without using quantifiers).a) ∃xP(x): This proposition is read as "there exists an x such that P(x) is true." Using the domain and statement given above, we can write out this proposition as: (P(1) ∨ P(2) ∨ P(3)) which translates to "(1 < √10 or 4 < √10 or 9 < √10)"b) ∀xP(x): This proposition is read as "for all x, P(x) is true." Using the domain and statement given above, we can write out this proposition as: (P(1) ∧ P(2) ∧ P(3)) which translates to "(1 < √10 and 4 < √10 and 9 < √10)"c) ∃x¬P(x): This proposition is read as "there exists an x such that P(x) is false." Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∨ ¬P(2) ∨ ¬P(3)) which translates to "(1 ≥ √10 or 4 ≥ √10 or 9 ≥ √10)"d) ∀x¬P(x): This proposition is read as "for all x, P(x) is false." Using the domain and statement given above, we can write out this proposition as: (¬P(1) ∧ ¬P(2) ∧ ¬P(3)) which translates to "(1 ≥ √10 and 4 ≥ √10 and 9 ≥ √10)"Note: √10 is not a positive integer less than 4.

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The probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

The standard deviation of the age of people who suffered heart attacks soon after using cocaine was 10 years. In a random sample of size 49, what is the probability the mean age at heart attack after using cocaine is greater than 42?We are given the following details:

The mean age of people in the study who suffered heart attacks soon after using cocaine was only 44.

Standard deviation = 10

Sample size = 49

Now we need to find the z-score using the formula:

z = (x - μ) / (σ / √n)

wherez is the z-score

x is the value to be standardized

μ is the mean

σ is the standard deviation

n is the sample size.

Substitute the values in the formula as given,

z = (42 - 44) / (10 / √49)z = -2 / (10/7)

z = -1.4

Probability of z > -1.4 can be found using the standard normal distribution table or calculator.

P(z > -1.4) = 0.9192

Therefore, the probability the mean age at heart attack after using cocaine is greater than 42 is 0.9192. Hence, the correct option is D. 0.9192.

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

The probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.

To find the probability of P(A1|B1), we can use Bayes' theorem:

P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)

Given that A1 and A2 are complements, P(A2) can be calculated as 1 - P(A1), which means P(A2) = 0.7.

We are given P(B1|A1) = 0.6 and P(B1|A2) = 0.5.

Now, to calculate P(B1), we can use the law of total probability:

P(B1) = P(B1|A1) * P(A1) + P(B1|A2) * P(A2)

Substituting the given values, we get:

P(B1) = (0.6 * 0.3) + (0.5 * 0.7)

= 0.18 + 0.35

= 0.53

Finally, we can calculate P(A1|B1) using Bayes' theorem:

P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)

= (0.6 * 0.3) / 0.53

≈ 0.375

Therefore, the probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.

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The simplified exponential notation of the given expression is 9\(a^{2}b\).The following polynomials, then put the resolution in the right spot.

A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x. This statement is written as x/2 + 6 in a mathematical expression.

given

the expression as:

=\((\frac{18}{2})( \frac{a^{3} }{a})(\frac{b^{2} }{b})\)

know  \(\frac{a^{m} }{a^{n} } = a^{m - n}\)

So,   =\((\frac{18}{2})( \frac{a^{3} }{a})(\frac{b^{2} }{b})\) =  9\(a^{2}b\).

The simplified exponential notation of the given expression is 9\(a^{2}b\).The following polynomials, then put the resolution in the right spot.

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