Which of the following statements is not​ true? A. The solution to a compound linear inequality involving the word​ "and" is the intersection of the solutions to each inequality. B. A compound linear inequality involving the word​ "and" must always have a solution. In other​ words, the solution is never the empty set. C. The solution to a compound linear inequality involving the word​ "or" is the union of the solutions to each inequality. D. A compound linear inequality involving the word​ "or" must always have a solution. In other​ words, the solution is never the empty set.

The Largest interval in which the solution of the differential equation is defined is (-5, 3).

dy/dt + 2(t + 1)y² = 0 and y(0) = -1/15

Now, dy/dt + 2(t + 1)y² = 0

dy/dt = -2(t + 1)y²

By separating variables

dy/y² = -2(t + 1) dt

Integrating both sides

∫dy/y² = -∫(t + 1) dt

-1/y = -(t²+2t) + c

y(t) = /(t²+2t - c)

We know, y(0) = -1/15

So, -1/15 = 1/(0+0-c)

c = 15

∴ y(t) = 1/(t² + 2t - 15)

Now, y(t) is defined if t² + 2t - 15 ≠ 0

Let t² + 5t - 3t - 15 = 0

(t + 5)(t - 3) = 0

t = -5, 3

So, the intervals are (-∞ , -5), (-5, 3) and (3, ∞)

As t = 0 lies in between (-5, 3) hence the interval in which the solution is defined is (-5, 3)

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the value of expression is 48 at w = 6.

Expression in math's is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given, an expression 7w + 6,

Since the value of w is given 6

Thus,

The value of Expression = 7 * 6 + 6

The value of Expression =  48

Therefore, the value of expression is 48 at w = 6.

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The correct answer is A. TEDE, which stands for Total Effective Dose Equivalent.

This is a measure of the effective dose equivalent to an individual resulting from an intake of radioactive material. It takes into account the type of material ingested and the radiation dose received.

It takes into account the type of material ingested and the radiation dose received. TEDE is generally used in radiation protection to estimate the probabilistic health effect on an individual as a result of an intake of radioactive material.

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Note that the statement that verified that ST || to QR is the converse of the Triangle Proportionality Theorem and the ratios given in Option A.

According to the converse of the Triangle Proportionality Theorem, If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

The Theorem of Proportionality states that a line drawn parallel to one side of a triangle and cutting the other two sides splits the other two sides in equal proportion. The reverse of the Basic Proportionality Theorem - A line drawn to cut two sides of a triangle in equal proportion is parallel to the third side.

Since 4.5/7.5 = 7.5/12.5, then the converse of the Triangle proportionality theorem holds true.

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The logarithm is expanded as much as possible to, log √(x^7y^-4) = (7/2) log (x) + (-2) log(y).

Simplifying the given logarithmic expression, log √(x^7y^-4).

Use the power rule of logarithms, log(a^x) = x log a.

Say, x= 1/2 and a = (x^7y^-4).

log √(x^7y^-4) = (1/2) log (x^7y^-4)

Now, use the multiplication property of the logarithms, log (ab) = log(a) + log(b). Consider a = x^7 and b = y^-4.

log √(x^7y^-4) = (1/2) log (x^7) + (1/2) log(y^-4)

Now, again use the power rule in both the terms,

log √(x^7y^-4) = (7/2) log (x) + (-4/2) log(y)

log √(x^7y^-4) = (7/2) log (x) + (-2) log(y)

This is the simplified expression.

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The cost of 8 grams of Teuscher Chocolate is 8 x $8 = $64. The cost of 8 grams of Saffron is 8 x $14 = $112. Therefore, the total cost of the two items combined is $64 + $112 = $176.  

The cost of a 100-word answer depends on what type of service or product you are requesting. If you need a professional writing service, the cost will vary depending on the complexity of the answer and the quality of the writing. If you are looking for a plagiarism-free answer, the cost will also depend on the source of the answer, as well as the complexity, length, and research involved.

Since this exceeds the $42 budget, the party planner cannot include more than 8 grams of Teuscher Chocolate and Saffron in the gift bag.

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Answer: 3x+5

Step-by-step explanation:

trust me  i had that question for home work

The percentage of customers who were surveyed and were 18 - 24, would be 24 %

To find the percentage of customers who were surveyed and were between the ages of 18 and 24, find the total number of people surveyed :

= 25 + 30 + 35 + 25 + 10

= 125 people

The percentage of surveyed customers aged 18 - 24 is therefore:

= Number of customers between 18 - 24 / Total number of customers

= 30 / 125 x 100 %
= 24 %

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Answer: x - √2x = 1

Step-by-step explanation:

The final velocity of the Tennis for the condition is 19 m/s.

acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

Given Tennis starts moving at 4m/s to the left,

initial speed = 4 m/s

for 5s he is accelerating at a constant rate of 3m/s^2

time = t = 5 s

acceleration = 3 m/s²

to find the final velocity​,

velocity is given by,

v = u + at

u = initial speed, t = time, and a = acceleration

v = 4 + 3(5)

v = 4 + 15

v = 19 m/s

Hence velocity is 19 m/s.

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The solutions of the equation that lie in the interval [0,π] is 1.1592 and 1.98239.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

cos(x)=0.4

Take cos inverse on both side

[tex]cos^{-1[/tex] (cos(x)) = [tex]cos^{-1[/tex] (0.4)

x  = [tex]cos^{-1[/tex] (0.4)

x= 1.1592

and, the second solution

x = π - 1.1592

x = π - 1.1592

x= 1.98239

Hence, the solutions are 1.1592 and 1.98239.

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The width of the rectangle is 81 cm.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Perimeter = 352 cm

Length = 95 cm

Width = W

Now,

Perimeter = 2 (Length + Width)

352 = 2 (95 + W)

176 = 95 + W

W = 176 - 95

W = 81 cm

Thus,

The width is 81 cm.

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Therefore , the solution of the given problem of rectangle comes out to be  about 46cm2 of the baking sheet are left uncovered.

A rectangle is just a cube with quartet right angles in the Euclidean plane. It is also known as a quadrant that appears to have equal angles, or an equiangular quadrilateral. A straight angle is an additional alternative for the parallelogram. A square has four sides that are the same length. A quadrilateral with four 90° vertices and four equal sides is rectangular in shape. Due of this, it is occasionally referred to as a "equirectangular rectangle".

Here,

Given :

Size: 12 cm

Size = 18 cm

Rectangle's area is equal to 12*18.

Rectangle's surface area is 216 cm2.

One circle's diameter is equal to Length/3.

One circle's diameter is equal to 18/3, or 6 cm.

Circle area is equal to d2/4.

Circle area equals (6)2/4

Circles have an area of 364.

A circle's area is 9 cm2.

The six circular biscuits' surface area is 6 (9), or 54 cm2.

The six circular biscuits' surface area is 54 (3.14), or 169.56 cm2.

Amount of the baking sheet still exposed is equal to 216 - 169.56

46.44 cm2 of the baking sheet were left uncovered.

About 46cm2 of the baking sheet are left uncovered.

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The correct answer is b. No, it cannot have a unique solution. Because there are more variables than equations, there must be at least one free variable. If the linear system is consistent and there is at least one free variable, the solution set contains infinitely many solutions. If the linear system is inconsistent, there is no solution.

A linear system is a set of linear equations that can be expressed in the form Ax = b, where A is a matrix of coefficients, x is a vector of unknowns, and b is a vector of constants. Linear systems can be solved using a variety of methods, such as matrix inversion, Gaussian elimination, or the LU decomposition. In addition, linear systems can be used to model a variety of real-world problems, such as linear programming, optimization problems, and electrical networks.

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the cost of the system and the cost of the games is: $501. This can be solved using the concept of equation.

The connection between the two expressions on each side of the sign is represented by a mathematical equation. One variable and an equal sign are often present.

The total cost of the video game system and the several game = $668

Let, the cost of several game = x and

The cost of video game system = 3x

To find the cost of the system and the games

According to the problem,

or, x + 3x = 668

or, 4x = 668

or, x = $167

Hence, the cost of several game = $167 and

The cost of video game system = $3 × 167 = $501

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(1). 2 x1 - 5 x2 + 8 x3 = 0

   -2 x1 - 7 x2 + x3 = 0

    4 x1 - 2 x2 + 7 x3 = 0

Add the first and second equation:

0 x1 - 12 x2 + 9 x3 = 0

Add the third equation:

4 x1 - 2 x2 + 7 x3 = 0

So, the system has a nontrivial solution because the last equation is not the trivial solution.

(2). x1- 3 x2 + 7 x3 = 0

    -2 x1 - x2 + 4 x3 = 0

     x1 - 2 x2 + 9 x3 = 0

Add the first and second equation:

-x1 - 4 x2 + 11 x3 = 0

Add the third equation:

0 x1 - 6 x2 + 16 x3 = 0

So, the system has a nontrivial solution because the last equation is not the trivial solution.

(3). -3 x1 - 5 x2 + 7 x3 = 0

-6 x1 - 7 x2 + x3 = 0

Add the first and second equation:

-9 x1 - 12 x2 + 8 x3 = 0

So, the system has a nontrivial solution because the last equation is not the trivial solution.

(4). -5 x1 - 7 x2 + 9 x3 = 0

      x1 - 2 x2 + 6 x3 = 0

Add the two equations:

-4 x1 - 5 x2 + 15 x3 = 0

So, the system has a nontrivial solution because the last equation is not the trivial solution.

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The required expression used to calculate the mean cost per advertisement is 325 + 750 + 1,300 / 3. Option A is correct.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Mean cost of each type of advertisement
= the sum of the cost of small. medium and large advertisement / 3
= 325 + 750 + 1,300 / 3

Thus, the required expression used to calculate the mean cost per advertisement is 325 + 750 + 1,300 / 3. Option A is correct.

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Answer:  200 because 100 plus 100 equal 200

The value of x is 26 and TanΘ  is equals to  10 / 24

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

From the given triangle,

We can say that ,

Hypothenuse ^2  =  base^2  + opposite^2

let the hypothenuse of given triangle be x

so,

x^2 = 10 ^2 + ^2

x ^2 = 100 + 576

x^2 = 676

x = 26

SO,

TanΘ = 10 / 24

TanΘ = 5/12

TanΘ = 0.4169

Therefore, The value of x is 26 and TanΘ = 10 / 24

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When drawn on a coordinate plane with the x-axis as the baseline, a wave with a crest that is closer to the baseline has a smaller

The above statement is false.

The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).

The point is located on the 2D coordinate plane in one of its four quadrants if both the x and y values are non-zero.

The intersection of two number lines creates a two-dimensional plane known as a coordinate plane. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two examples of these number lines.

A graph having one x-axis and one y-axis is referred to as a cartesian plane (also known as an X-Y graph). The orientation of these two axes is perpendicular. The graph's exact centre is marked by the origin (O).

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After 1 second, the height of the ball will be 48 feet above the ground, and if the ball lands after 4 seconds of being thrown into the air the ball is 50 feet above the ground after 4.66 seconds.

So we have the function:

h(t)=64t-16t²

height h(t) is measured as the ball after t seconds.

A) To find the height of the ball after 1 second if it has been thrown, then substitute 1 for t. Thus:

h(1)=64(1)-16(1)²

Simplify:

h(1)=64-16

Subtract:

h(1)=48

Thus, after 1 second, the height of the ball is 48 feet above the ground.

B) To know how many seconds after being thrown the ball hit the ground, we have to set h(t) to 0. 0 can be defined as that it will be 0 feet above ground level: in another word, on the ground. So:

0=64t-16t²

Solve for t. Factor out a 16t

0=16t(4-t)

Zero Product Property:

16t=0, 4-t=0

Solve for t:

t=0 or t=4.

We have to ignore the first zero. So, the value of t is 4 and the ball lands after 4 seconds of being thrown into the air.

C) To calculate at what time(s) the ball is 50 feet above the ground, set h(t) to 50 and solve for t:

50=64t-16t²

First, we have to divide everything in 2 to simplify things:

25=32t-8t²

Subtract 15 from both sides:

-8t²+32t-10=0

Now, to find the zeros, we can use the quadratic formula. a=-8, b=32, and c=-10. Thus:

[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute:

[tex]x=\frac{-32+\sqrt{(32)^2-4(-8)(-10)} }{2(-10)}[/tex]

Simplify:

[tex]x=\frac{32+\sqrt{704} }{20}[/tex]

Use a calculator. Approximate:

x=4.6647

Therefore, the ball is 50 feet above the ground after 4.66 seconds.

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Answer:

290.68 miles

Step-by-step explanation:

fixed rate 37.33 per day

mileage 0.25 per miles

allowance 110 per day

how many miles = x

110 = 37.33+0.25x

0.25x =110-37.33 = 290.68 miles

Answer:

Step-by-step explanation:

The main idea you need to understand here is multiplicity, zeroes, and end behavior.

If a function has an odd degree that means that the end behaviors will be opposite so if on the right side the polynomial is going up, then on then on the left side it's going down and vice versa.

As for multiplicity, if the multiplicity or exponent of a zero is odd then it crosses the x-axis otherwise it has a turning point meaning it touches the x-axis and just turns around.

The last thing to understand is if the polynomial has a positive leading coefficient then the graph will be going up on the right side otherwise it will be going down.

We're given the function: f(x) = (x-1)(x+2)(x+5) and if you set each factor equal to zero, you can solve for the zeroes getting: x = 1, --2, and -5 as zeroes. Since the coefficients inside the factors are all positive when we multiply this out, we would get a positive leading coefficient and since the exponent of them is all one, the degree would be 3 when multiplying out the 3 binomials.

So on the right side it's going up, the left side it's going down (since odd degree) and at each zero it crosses the x-axis since they all have an odd multiplicity. This allows us to draw a rough sketch which I have provided using paint.,

The solutions of the given equations are grouped into negative or positive as follows:

-9x=36= negative

-3b-12=-7b = positive

-8.2d+28.1=3.6d = positive

For -9x=36;The final result is a negative result because of the following;

-9x= 36

X= -36/9

X= -4

For -3b-12=-7b;The final result is a positive result because of the following;

-3b-12=-7b

-3b+7b =12

4b=12

b= 12/4= 3

-8.2d+28.1=3.6d;The final result is a positive result because of the following;

-8.2d+28.1=3.6d

28.1= 3.6d+8.2d

28.1 = 11.8d

28.1/11.8 = d

d= 2.4

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Answer:

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

Let the cost of a pretzel be p and cost of a soda be s.

The first family bought 3 pretzels and 5 sodas, which totaled $23:

The second family bought 4 pretzels and 6 sodas, which totaled $28:

Divide the second equation by 4 to get:

Substitute this into first equation and solve for s:

Cost of a soda is $4, this is option B.

Answer:

B is the answer

Step-by-step explanation:

I took the test and I got 100 percent.

The y-intercept is at (27/2 ,9) in the Slope Intercept Form .

What is a line's Slope Intercept Form?

A line with m as its slope, m as its y-intercept, and c as its coefficient makes up the graph of the linear equation y = mx + c. The values of m and c in this version of the linear equation known as the slope-intercept form are real numbers.

The graph of the line passes through (0,9) and (3,7) .

Slope of the line = (7 - 9)÷(3 - 0) = -2/3

Hence the line will have the equation:

y - 9 = -2/3 ( x - 0 )

or, y - 9 =  -2x/3

or, 3y - 27 = -2x

     2x + 3y = 27

Now from the real world situation at y = 0, x = 27/2

and at x = 0, y = 9

Hence the y-intercept is at (27/2 ,9)

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The work done by the force in moving an object a distance of 8 m is; 144 J

A force-displacement graph will have force (in N) on the vertical axis and displacement (in m) on the horizontal axis. The area of the graph is = Fs. This quantity represents the work done on the object.

The area of the given graph is gotten by using the area of a trapezium which is;

Area = ¹/₂(sum of parallel sides) * height

Plugging in the relevant values gives;

Area = ¹/₂(8 + 4) * 24

Area = 144 J

This area represents the work done

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The number of dollars each day we can spend in the remaining days is, $97

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Amount left in promotion budget =  $668.00

Amount we need to spend on the last day = $85.00

The number of dollars in can spend each day = ?

Total amount can spend in remaining days = $668.00 - $85.00

                                                                        =  $583

Each day can spend = 583/6

                                   = 97

Hence, the number of dollars can spend each day, $97

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Then the linear function rule to model the distance the car has traveled in any number of seconds will be d = 92t.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Times

s = d/t

d = st

The value of 's' is given as,

s = 828 / 9

s = 92 feet per second

Then the linear function rule to model the distance the car has traveled in any number of seconds will be d = 92t.

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