DUE TOMORROW ANSWER USING STEPS: When Tyrese fell asleep one night, the temperature was
24°F. When Tyrese awoke the next morning, the
temperature was -16°F. Letting + denote a rise in
temperature and - denote a drop in temperature, what
was the change in temperature from the time Tyrese
fell asleep until the time he awoke?

The numbers can be a solution for the inequality 32+a>44 is 13 and 14.

If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.

Given that;

The inequality= 32+a>44

To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.

32 + a > 44

Subtract 32 from both sides:

a > 44 - 32

a > 12

This means that any number greater than 12 can be a solution to the inequality.

Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.

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Answer:

The corner is 90 degrees so I believe you add them so 60+90+30 is 180!!!

The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

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Answer:

474.93

Step-by-step explanation:

V= 3.14*r^2*h

Answer:

\(x=7 \quad \text{or} \quad x=-\dfrac{17}{3}\)

Step-by-step explanation:

The absolute value of a number is its positive numerical value.

Given equation:

\(|3x-2| = 19\)

To solve an equation containing an absolute value, first isolate the absolute value on one side of the equation.  (This has already been done).

Set the contents of the absolute value equal to both the positive and negative value of the number on the other side of the equation, and solve both equations:

\(\begin{aligned}\text{\underline{Equation 1}} &&\quad && \text{\underline{Equation 2}}\\3x-2 & = 19 && & 3x-2&=-19\\3x-2+2 & = 19+2 && & 3x-2+2&=-19+2\\3x&=21 &&& 3x&=-17\\\dfrac{3x}{3}&=\dfrac{21}{3} &&& \dfrac{3x}{3}&=-\dfrac{17}{3}\\x&=7 &&& x&=-\dfrac{17}{3}\end{aligned}\)

Check the solutions by substituting each found value of x into the original equation:

\(\begin{aligned}x=7 \implies |3(7)-2|&=19\\|21-2|&=19\\|19|&=19\\19&=19\end{aligned}\)

\(\begin{aligned}x=-\dfrac{17}{3} \implies \left|3\left(-\dfrac{17}{3}\right)-2\right|&=19\\|-17-2|&=19\\|-19|&=19\\19&=19\end{aligned}\)

Therefore, this verifies that both solutions are valid.

To show the solutions on a number line (attached):

First, determine what is 40% of $600. Multiple 40 (as a decimal) by 600.

0.4 x 600 = 240

Therefore, the discount is $240 off $600.

Subtract the two values to find price (before tax): 600 - 240 = 360

So the TV will cost $360 before tax.

The tax is 8.5%. Multiply 8.5 as a decimal by 360 to find the amount of tax added.

0.085 x 360 = 30.6

Add 30.6 and the price before tax to find the final price.

30.6 + 360 = 390.60

Therefore, the final price of the TV is $390.60

Answer: 6 years

Step-by-step explanation: 32,000 divided by 25% is 24,000. 24,000 divided by 25% is 18,000. 18,000 divided by 25% is 13,500. 13,500 divided by 25% is 10,125. 10,125 divided by 25% is 7,593.75. 7,593.75 divided by 25% is 5,695.3125. so 6

Answer:

(A, 1); (A, 2); (A, 3); (A, 4); (B, 1); (B, 2); (B, 3); (B, 4)

Step-by-step explanation:

What a tedious question...

Answer:

=54

Step-by-step explanation:

- Combine multiplied terms into a single fraction

0.5(-9)=22.51(−9)2=22.52

- Multiply by 1

- Multiply all terms by the same value to eliminate fraction denominators

- Cancel multiplied terms that are in the denominator

- Multiply the numbers

- Add 999

- to both sides of the equation

- Simplify

The length of the pendulum is 7 ft, the period is approximately 1.86 seconds.

The problem states that the period of a pendulum varies directly as the square root of its length. This means that as the length of the pendulum increases, so does its period. In mathematical terms, we can express this relationship as:

p ∝ √L

where p is the period of the pendulum and L is its length. The symbol "∝" means "is proportional to."

To find the period of a pendulum when its length is 7 ft, we can use the given information that the period is 1.1 s when the length is 2 ft. We can set up a proportion using the formula above:

p₁/√L1 = p₂/√L2

where p₁ = 1.1 s, L1 = 2 ft, p₂ = the unknown period we want to find, and L2 = 7 ft.

Plugging in the values we know, we get:

1.1/√2 = p₂/√7

To solve for p₂, we can cross-multiply and simplify:

1.1 x √7 = p₂ x √2

p₂ = (1.1 x √7) / √2

p₂ ≈ 1.86 s

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Answer:

$53.57

Step-by-step explanation:

First, you have to subtract 200 from 628.56 to get 428.46

Then, you do 428.46/2 = 53.57, which is your answer

Hope this helps!

                                                                                                                                             Step-by-step explanation:     $682.56 - 200 of the donations = 482.56

The correct notation for the probability of the event "golfer hits the green in one shot" is P(g), where P represents the probability of the event g.

Likewise, the correct notation for the probability of the event "golfer needs one putt to make the hole" is P(p), where P represents the probability of the event p.

In probability theory, events are denoted by capital letters, such as A, B, C, etc. The probability of an event A, denoted by P(A), is a numerical value between 0 and 1 that represents the likelihood of the event occurring.

If the event is certain to occur, the probability is equal to 1, and if the event is impossible to occur, the probability is equal to 0.

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:759

Step-by-step explanation:

Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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Answer:it is b

Step-by-step explanation:

On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.

Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.

The initial product of the two numbers is:

A x B

If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:

(12A) x (B/4) = (12/4) x A x B = 3AB

So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.

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Answer:

Step-by-step explanation:

Answer options, incorrect statements are underlined below:

1. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.

2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.

3. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly two elements of the range.

4. By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.

Answer:

2. By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.

Step-by-step explanation:

A relation is a function only if it relates each element in its domain to only one element in the range. When you graph a function, a vertical line will intersect it at only one point.

\({\huge{\fbox{\tt{\blue{ANSWER}}}}}\)

______________________________________

The probability of answering a single problem correctly by randomly guessing is 1/4, since there are 4 answer choices and only one correct answer. Since the student randomly guessed the answer to both problems, the probability of answering both problems correctly is:

(1/4) x (1/4) = 1/16

Therefore, the probability that the student answered both problems correctly is 1/16.

The value of the fraction, negative 5 and 1 over 7 ÷ negative 7 and 3 over 4 is 144/217

A fraction can be described as the part of a whole element or value.

The different types of fractions are;

Examples of proper fractions; 2/4, 5/6, 7/9

Examples of improper fractions; 4/2, 3/2, 6/5

Examples of mixed fractions; 2 1/4, 4 6/7, 8 1/2

Examples of simple fractions; 1/ 3, 3/4, 1/2

Now, from the information given, we have;

Convert into improper fractions

-36/7 ÷ -31/4

take inverse of the divisor and multiply

-36/ 7 × 4/-31

-144/-217

144/217

Hence, the value is 144/217

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The length of the base of the triangle is 8 yards whose height is half of 28 yards.

A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.

The following formula provides the area of a triangle:

Area = (1/2) x base x height

We are given that the height of the triangle is half of 28 yards, which is:

height = 1/2 x 28 = 14 yards

We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:

56 = (1/2) x base x 14

Simplifying this equation, we get:

56 = 7 x base

Dividing both sides by 7, we get:

base = 8

Therefore, the length of the base of the triangle is 8 yards.

The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.

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The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Since, P(male)*P(fail)= 0.33 and P(male and fail) = 0.33 , the two results are equal and independent.

What is Probability?

The possibility of outcome of any event is found by probability. as for an example whenever we toss a coin in the air, then what is the possibility that we get a head? Only based on possible outcomes we can answer this question. It is that part of events which deals with the results of random events. We can basically call it as prediction of any event that is based on study of previous record or the type and no of possible outcome.

Probability of happening of an event= Total no of favorable outcomes/                          Total no of outcomes

Here in this question;

P(male/fail)= P(male and fail)/P(fail)

                 = \(\frac{8/123}{(8+16)/123}\)

                 =\(\frac{8}{24} = \frac{1}{3} = 0.33\)

P(male) = \(\frac{33+8}{123} = \frac{41}{123} =\frac{1}{3} = 0.33\)

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The y-intercept of f(x + 4) + 8 is given as follows:

10.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

\(f(x) = \log_2{x}\)

The translated function is then given as follows:

\(g(x) = \log_2{x + 4} + 8\)

The y-intercept of the function is the numeric value at x = 0, hence:

\(g(0) = \log_2{0 + 4} + 8\)

g(0) = 2 + 8 = 10.

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Answer:

Where is the table?

Step-by-step explanation:

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

X must be equal to 0 for M to be singular.

For M to be singular, its determinant must be zero. So, we can set up the equation:

| 2 2 1 |

| 6 2 -x |

| 2 1 3 | = 0

Expanding the determinant along the first row, we get:

2 | 2 -x |

-6 | 1 3 | = 0

Multiplying the determinant of the 2x2 matrix by 2, we get:

4(-x - 3) - (-6)(2) = 0

Simplifying the left-hand side, we get:

-4x - 12 + 12 = 0

Solving for x, we get:

-4x = 0

x = 0

Therefore, X must be equal to 0 for M to be singular.

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