write the contrapositive of the following sentence: "if Charles Schultz did not write a sonata, then snoopy did not dance a jig"

Answer:

-1

Step-by-step explanation:

It hits the y-axis at -1, so the answer is -1.

Answer:

5x³-13x²+24x+12

Step-by-step explanation:

Start by distributing (5x+2) into (x²-3x+6)

It is easiest to start with 5x.

When distributing 5x, your answer should be: 5x³-15x²+30x.

Then, distribute the 2 just as you did for 5x.

Your answer for that should be: 2x²-6x+12

After that, add the like- terms from both answers together.

5x³-15x²+30x+2x²-6x+12

The final answer is then: 5x³-13x²+24x+12

The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

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.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.

Length of the small plant = 2 1/2 = 5/2 inches

Rate of growth = 3/4 inches

Increase in length in 3 weeks will be:

= 3 × 3/4 = 4

Total length = 5/2 + 9/4

= 19/4 inches.

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Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

\(a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for c:

\(\implies 16^2+2^2=c^2\)

\(\implies 256+4=c^2\)

\(\implies c^2=260\)

\(\implies c=\sqrt{260}\)

\(\implies c=2\sqrt{65}\)

\(\implies c=16.1 \sf \: cm\:(nearest\:tenth)\)

16.1 is rounded to the nearest tenth

Given: Two similar polygon

To Determine: The value of x

Solution

Using similar shape ratio

Hence,

x= 25

Answer:

0.7 more hours

Step-by-step explanation:

8.6 - 7.9 = 0.7 more hours

Your question is incomplete. The complete question is: Consider the following algebraic statements and determine the values of x for which each statement is true. On a number line, show the set of all points corresponding to the values of x.

|x| = 7

4=|-2x|

The values of x for which each statement is true are:

|x| = 7: x = -7 or x = 7

4 = |-2x|: x = -2    or x = 2

a) |x| = 7

-x = 7 or x = 7

x = -7 or x = 7

This statement is true for two values of x:

x = -7 and x = 7.

b) 4 = |-2x|

4 = -2x or 4 = 2x

x = -2    or x = 2

This statement is true for two values of x:

x = -2 and x = 2.

The number line is shown in the image attached.

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Assuming that an unfair coin is tossed with outcomes of HH, HT, TH, and TT, and the probability is 0.40, 0.92, 0.29, and 0.55, then the given probabilities do not form a valid probability model for the sample space of two coin tosses.

The given probabilities do not form a valid probability model for the sample space of two coin tosses since a valid probability model must satisfy the following conditions:

To calculate the sum of the probabilities, we simply add up all of the given probabilities:

0.40 + 0.92 + 0.29 + 0.55 = 2.16

In this case, the sum of the probabilities is 2.16, which is greater than 1. Hence, the given probabilities do not form a valid probability model for the sample space of two coin tosses.

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Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

the answer is A

Step-by-step explanation:

Answer: x=6.5

Step-by-step explanation: 13 x 10=130

845/130= 6.5

Answer:

f(g(-2))

Step-by-step explanation:

f(x) =x+2 and g(x) = x² -3

start working from inside towards outside

f(g(1)) = f(1² -3) = f(-2) = -2+2 = 0

f(g(-2)) =  f((-2)² -3) = f(4-3)= f(1) = 1+2 = 3

g(f(-4) = g(-4+2) = g(-2) = (-2)² -3 = 4-3 = 1

g(f(-2)) = g(-2+2) = g(0) = 0² -3 = 0-3 = -3

The expression with the greatest value is f(g(-2))

because equals 3 ( 3>0, or 1, or -3)

The charge before tax in the first city is $4500

The charge before tax in the second city is $3000

Let the charge before tax in the first city = A

let the charge before tax in the second city = B

The percent of tax on the first city = 3% = 0.03

The percent of tax on the second city = 5% = 0.05

The total tax paid for both cities = $285

Writing the equation for the total tax paid for both cities:

3%(A) + 5%(B) = 285

0.03A + 0.05B = 285 ...equation (1)

The hotel charge before tax in the second city = 1500 lower than first city

The hotel charge before tax in the second city = charge before tax in first city - 1500

B = A - 1500 ...equation (2)

substitute for B in (1):

0.03A + 0.05(A - 1500) = 285

0.03A + 0.05A - 75 = 285

0.08A = 285 + 75

0.08A = 360

A = 360/0.08

A = 4500

Substitute for A in (2):

B = 4500 - 1500

B = 3000

The charge before tax in the first city is $4500

The charge before tax in the second city is $3000

The given system of equations have no solution.

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given is a system of equations 2x+4y=7and  x+2y=3, we need to solve it by using elimination method,

The equations are :-

2x+4y=7...(i)

x+2y=3.....(ii)

Multiply equation (ii) by 2, and subtract it from eq(i)

2x+4y = 7 - 2(x+2y=3)

0 = 1

Which is impossible.

That mean, the system of equations will have no solution.

Hence, the given system of equations have no solution.

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Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer:

For

Car A : 30

Car B : 20

Step-by-step explanation:

Let the speed at which Car A travels be x and the time of travel be T. Recall that

speed = distance/time

Hence for Car A.

x = 90/T

T = 90/x

since Car B is B going 10 km/hr slower travels 60 km then

T = 60/(x - 10)

equating both equations

90/x = 60/(x - 10)

cross multiply

90(x - 10) = 60x

90x - 900 = 60x

90x - 60x = 900

30x = 900

Divide both sides by 30

x = 900/30

= 30

This is the speed of Car A : 30km/hr

The speed of Car B = 30 - 10 = 20 km/hr

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

\(\displaystyle \frac{3^5}{3^{-6}}=3^{11}\)

Step-by-step explanation:

Properties of Exponents

They can be used to simplify expressions of the form

\(b^x\cdot b^y=b^{x+y}\)

\(\displaystyle \frac{b^x}{b^y}=b^{x-y}\)

The last property will be used to simplify:

\(\displaystyle \frac{3^5}{3^{-6}}=3^{5-(-6)}=3^{5+6}=3^{11}\)

\(\mathbf{\displaystyle \frac{3^5}{3^{-6}}=3^{11}}\)

Answer:

62.83 inches

Step-by-step explanation:

The circumference of a circle with a radius of 10 is 62.83.

0.5

Step-by-step explanation:

1/6 times 3 equals 0.5 or 3/6 or 1/2

Applying the intersecting secants theorem, the length of segment KL is approximately, 45.8.

According to the intersecting secants theorem, if two lines from a point outside a circle intersect the circle, then the product of the length of one line segment and its portion outside the circle is equal to the product of the length of the other line segment and its portion outside the circle.

Using the theorem, we have:

MN * MO = ML * MK

Substitute:

21 * 48 = 22 * KL

1,008 = 22KL

1,008/22 = KL

KL = 45.8 (nearest tenth)

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Answer:

well it cant start off in the middle of the graph most graphs you start from the very beginning like lets just say we start at 11 and go all the way to the end so kinda like a straight line

Step-by-step explanation:

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)