Angles not necessarily drawn to scale​

Answer:

x = 3

Step-by-step explanation:

The equation is,

16 = 5x+1

Subtract 1 from both sides,

16-1 = 5x

15 = 5x

Divide by 5,

x = 3

Answer: X = 3 because each row had 3 1 in it and because of that each row/X would be 3.

Answer:

12:45 pm

Step-by-step explanation:

First we find out the amount of time it takes to drive 90 miles at 60 mph.

speed = distance/time

time * speed = distance

time = distance/speed

time = 90 miles / 60 mph

time = 1.5 hour = 90 minutes

It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.

To get there at 2:00 pm, he should have left at 12:30 pm.

He got there 15 minutes late, so he must have left 15 minutes late.

He left at 12:45 pm.

Answer: 12:45 pm

Answer:

270 calories

Step-by-step explanation:

Answer:

g(2)=4

2 is the x value, and g(2) gives you 4 as your y value

point (2,4)

Step-by-step explanation:

Answer:

(a+b)(a+b-c)

Step-by-step explanation:

Formula:

(a+b)² = a² + b² + 2ab

Therefore,

a²+b²+2ab -ac-bc

= (a+b)² -ac-bc

Now take -c common in ac and bc

(a+b)² -c(a+b)

now take (a+b) common in both terms

(a+b)(a+b-c)

.

Hope it helps

The value of the equation is A = ( a + b ) ( a + b - c )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = a² + 2ab + b² - ac - bc   be equation (1)

On simplifying the equation , we get

( a + b )² = a² + 2ab + b²

So ,

A = ( a + b )² - ac - bc

Taking the common factor in the equation , we get

A = ( a + b )² - c ( a + b )

Taking the common factor in the equation , we get

A = ( a + b ) ( a + b - c )

Hence , the equation is A = ( a + b ) ( a + b - c )

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Answer:

LHK =  101

Step-by-step explanation:

LGK + LHK = 180

79 + LHK = 180

LHK = 180 -79

LHK =  101

A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven.

Answer: LHK= 101

Answer:

hhhh

Step-by-step explanation:

hhhhhh

Answer:  x = 25

. . . . . . . . . . . . . .

Answer:

Step-by-step explanation:

a) 2^{a-b}

b) 5^{a-b}

c) \frac{0.5a}{2^b}

We cannot determine the truth value of any of the statements given, as sets $B$ and $C$ are not defined in the context of the question.

Let's analyze each statement using the given terms and the set $A = \{a, b, \{a, b\}\}$:
A) $B \in C$
There is not enough information to evaluate this statement, as the sets $B$ and $C$ are not defined. We cannot determine if it is true or false
B) $C \subset P(A)$
Again, the set $C$ is not defined. Therefore, we cannot determine if it is a subset of the power set $P(A)$ or not.
C) $B \in A$
As previously mentioned, the set $B$ is not defined, so we cannot determine if it is an element of set $A$.
D) $B \subset A$
Without knowing the elements of set $B$, we cannot determine if it is a subset of set $A$.
In conclusion, we cannot determine the truth value of any of the statements given, as sets $B$ and $C$ are not defined in the context of the question.

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The equation for this problem, considering the increase in price and decrease in sales, is R = (12 + x) . (500 - 25x), as explained below.

First, let's establish the following:

Considering the information given in the prompt about the price of the shirts and the quantity sold, we have this equation, in which the price multiplied by the quantity equals the revenue:

P x Q = R

12 x 500 = 600

However, we are told that the company will increase the price in $1 and that, for each increase, 25 fewer shirts will be sold. Having x as the number of increases in price, the equation would be:

R = (12 + 1x) . (500 - 25x) or

R = 13 . (500 - 25x)

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The double integral of f(x, y) = 55xy over the domain D is to be computed. D is bounded by x = y and x = y².

The double integral represents the integral of a function of two variables over a region in a two-dimensional plane.

The most fundamental tool for finding volumes under surfaces or areas on surfaces in three-dimensional space is the double integral.

The formula for computing double integral over a region of integration can be written as:

∬f(x,y)dA, where f(x,y) is the integrand,

dA is the area element, and

D is the region of integration of the variables x and y.

In the present problem, f(x,y) = 55xy and D is bounded by x = y and x = y².

Thus the double integral is given by ∬D55xydA.

It can be written as:

∬D55xydA = ∫0¹dx ∫\(\sqrt{x}\)xdy

55xy = 55 * ∫0¹dx ∫\(\sqrt{x}\) xdy xy

∬D55xydA = 55 * ∫0¹dx ∫\(\sqrt{x}\)xdy xy

Now,

∫x^(1/2)xdy = xy|_(\(\sqrt{x}\), x)

                 = x(x) - \(\sqrt{x}\) x∫x^(1/2)xdy

                 = x² - \(x^{\frac{3}{2} }\)

Thus,∬D55xydA = 55 * ∫0¹dx ∫\(\sqrt{x}\)xdy xy

∬D55xydA = 55 * ∫0¹dx (x² - \(x^{\frac{3}{2} }\))

∬D55xydA = 55 * [x³/3 - (2/5)\(x^{\frac{5}{2} }\)]|

0¹ = 55(1/3 - 0) - 55(0 - 0)

    = 55/3.

Therefore, the value of the double integral of f(x, y) = 55xy over the domain D, bounded by x = y and x = y²,  is 55/3.

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Answer: t=8

Step-by-step explanation:

The highest ticket price that they can charge in order to not lose money on the event will be $8.16.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Sally's secondary school is arranging their spring melodic. The income, R, is created still up in the air by the capability R(t) = -33t² + 360t, where t addresses the cost of a ticket. The creation cost, C, of the melodic is addressed by the capability C(t) = 700 + 5t.

The highest ticket price that they can charge in order to not lose money on the event will be given as,

C(t) = R(t)

700 + 5t = -33t² + 360t

33t² - 355t + 700 = 0

Solve for 't', then we have

t = [-(-355) ± √((-355)² - 4 × 33 × 700)] / (2 × 33)

t = [355 ± 183.37] / 66

t = 5.378 ± 2.778

t = 5.378 + 2.778, 5.378 - 2.778

t = 8.16, 2.60

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Answer:

Step-by-step explanation:

Mr. Schwartz begins with total number of wheels = 85

he has to order more wheels once he left with less than 40 wheels

so min. no. of wheels he can use before ordering more wheels = 85-40 = 45

Mr. Schwartz uses 4 wheels to build 1 car

Mr. Schwartz uses 45 wheels to build 45÷4 = 11.25 cars

then, if he builds 12 cars then he needs 12×4 = 48 wheels

total supply of wheels he begins with = 85

wheels he used to build 12 cars = 48

so total number of wheels remaining  are = 85-48 = 37

since 37 is less than 40 so after building 12 cars Mr. Schwartz need to order more wheels.

Linear inequality that is used to find number of cars before Mr. Schwartz places an order for more wheels is equals to 4x ≥ 45.

"Linear inequality is defined as a  expression where we compare two different linear expression with the help of sign of inequality."

According to the question,

Number of supply wheels  =85

Number of wheels required for each car = 4

Mr. Schwartz has to order more wheels when,

Number of wheels < 40

x represents number of cars

As per conditions given ,

Inequality used to find number of cars before placing order for more wheels is 80 -40= 45

Therefore, required linear inequality is

4x ≥ 45

Hence, required linear inequality is 4x ≥ 45.

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Given:

Let x be the amount of 65% pure antifreeze.

Let (30-x) be the amount of 95% pure antifreeze.

We need to obtain 30 gallons of mix fixture that contains 85% pure antifreeze.

To find the number of gallons in each brand:

According to the question,

Let us frame the equation,

On simplification we get,

Therefore,

The amount of 65% pure antifreeze needed is 10 gallons.

The amount of 95% pure antifreeze needed is 20 gallons.

Answer:

I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:

y = 1x+5, you spelled 1 wrong so I just correct it.

Answer:

no

Step-by-step explanation:

substitute the values and verify.

If the function approaches a specific value (y = c) as x approaches infinity or negative infinity, then it has a horizontal asymptote at y = c.

To determine if a function has a horizontal asymptote, consider the behavior of the function as x approaches positive or negative infinity. The main idea is to analyze the end behavior of the function.

Degree of Polynomials:

If the degree of the numerator is less than the degree of the denominator, the function has a horizontal asymptote at y = 0 (the x-axis). If the degree of the numerator is equal to the degree of the denominator, divide the coefficients of the highest degree terms. The resulting ratio determines the horizontal asymptote. If the degrees are unequal, there is no horizontal asymptote.

Limits:

Take the limit of the function as x approaches positive or negative infinity. If the limit evaluates to a finite value, that value represents the horizontal asymptote. If the limit is infinite (∞) or does not exist, there is no horizontal asymptote.

Infinity:

If the function involves terms like exponential functions or logarithmic functions, analyze their behavior as x approaches infinity. Exponential functions with positive exponents tend to infinity, while those with negative exponents approach zero. Logarithmic functions tend to negative infinity as x approaches zero.

By considering these methods, you can determine if a function has a horizontal asymptote and find its equation or behavior as x approaches infinity or negative infinity. Remember to apply these techniques with caution and consider the specific characteristics of the function being analyzed.

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Answer:

x=15

Step-by-step explanation:

To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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In the SPSS numeric values, the numbers to the left of the decimal point are called digits, and the number to the right of the decimal point are called decimal numbers.

In SPSS, the decimal part means the number of decimal numbers to the right of the comma. Therefore, the correct option is (b).Explanation:In SPSS, the decimal part refers to the number of decimal places to be displayed for numbers with decimal places. Whenever you enter data, you should use a dot (.) or a comma (,) to separate the decimal portion from the integer part. SPSS recognizes both as decimal points.If you need to display or enter data with decimal points, you must first define the decimal and thousands separators. This is done via the Options dialog box by selecting the decimal and thousands separator tab. Once you've defined your settings, SPSS should format numbers with decimal places in accordance with your regional preferences.In the SPSS numeric values, the numbers to the left of the decimal point are called digits, and the number to the right of the decimal point are called decimal numbers.

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The answer is , option (b) The number of decimal numbers to the right of the comma is the correct answer.

In SPSS, the decimal part means:

(b) The number of decimal numbers to the right of the comma.

SPSS stands for Statistical Package for the Social Sciences.

It is a statistical software tool that provides you with a wide range of features for statistical analysis. SPSS is the most commonly used software tool for statistical analysis

In SPSS, the decimal part refers to the number of decimal places to be shown after the decimal point.

It means the number of digits to the right of the decimal point or comma. In SPSS, the decimal point is used to separate the whole number and the fractional part of a number, and it is used for numeric fields.

It is essential to ensure the decimal point is correctly placed to avoid rounding errors in the analysis of data.

Hence, option (b) The number of decimal numbers to the right of the comma is the correct answer.

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Answer:

C. 99

Step-by-step explanation:

The number are all less than 50 and then there is only one number that is greater than 50. The number is 99. Because it is a number that is not close to the average numbers at all, it is the outlier.

If this answer has helped you, please mark as brainliest

Answer:

C. 99

Step-by-step explanation:

an outlier is a number that is dralastically diffrent then the rest

Diana's average speed for the entire race was approximately 0.583 meters per second.

We can start by using the formula

average speed = total distance / total time

We know that Diana ran a total distance of 700 meters, and we can find the total time by adding the time for the first lap and the time for the second lap. Let's call the distance of each lap "x"

total distance = 700 meters

distance for each lap = x meters

So, the total time is

total time = time for first lap + time for second lap

To find the time for each lap, we can use the formula

time = distance / speed

For the first lap, we have

time for first lap = x / 7

For the second lap, we have

time for second lap = x / 5

So, the total time is

total time = (x / 7) + (x / 5)

We can simplify this by finding a common denominator

total time = (5x + 7x) / (35)

total time = (12x) / 35

Now, we can substitute the values we have into the formula for average speed

average speed = total distance / total time

average speed = 700 / [(12x) / 35]

average speed = (700 × 35) / (12x)

average speed = 204.166... / x

To find the average speed for the entire race, we need to find the value of "x" that makes this expression true. We know that the two laps are equal in distance, so we can set

x + x = 700

2x = 700

x = 350

Substituting this value of "x" into the expression for average speed, we get

average speed = 204.166... / 350

average speed ≈ 0.583 meters per second

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Answer:

option D. 6/11

Step-by-step explanation:

Simply put, they are numbers that cannot be written as a simple fraction. Irrational means they are not Rational.

In other words, they cannot be expressed as a ratio of two numbers

6/11 is an irrational number

To find the matrix A' for the linear transformation T relative to the basis B', we need to determine the image of each basis vector of B' under T and express those images as linear combinations of the basis vectors of B'.

Let's start with the basis vector of B', which is (5, 0, -1).

T(5, 0, -1) = (0 - (-1), 5 - (-1), 5 - 0)

= (1, 6, 5)

Now, we need to express (1, 6, 5) as a linear combination of the basis vectors of B', which is (5, 0, -1).

We need to find scalars a, b, and c such that (1, 6, 5) = a(5, 0, -1) + b(?, ?, ?) + c(?, ?, ?).

Since (5, 0, -1) is one of the basis vectors, we can assign a = 1 and have b = 0 and c = 0.

Therefore, (1, 6, 5) = (1)(5, 0, -1) + (0)(?, ?, ?) + (0)(?, ?, ?).

Now, we can construct the matrix A' using the coefficients:

A' = [1, 0, 0]

The matrix A' represents the linear transformation T relative to the basis B'.

Note: In this case, since the basis B' has only one vector, the matrix A' is a column matrix.

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Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960