The state capitals of Santa Fe, Oklahoma City, and Austin are shown in the map below. Abbreviating the cities by their first letter, write a mathematical statement using the Triangle Inequality Theorem to prove the distance from Santa Fe to Austin to Oklahoma City is greater than the distance from Santa Fe to Oklahoma City. (PLEASE HELPPPPP!!)

For function fx= -4x2+6x-1

To find f(-1), we need to plug in -1 for x in the function and simplify:
f(-1) = -4(-1)2+6(-1)-1
f(-1) = -4+(-6)-1
f(-1) = -11

To find when fx=0, we need to set the function equal to 0 and solve for x: -4x2+6x-1=0

We can use the quadratic formula to solve for x:
x = (-b ± √(b2-4ac))/(2a)
x = (-(6) ± √((6)2-4(-4)(-1)))/(2(-4))
x = (-6 ± √(36-16))/(-8)
x = (-6 ± √20)/(-8)
x = (-6 ± 2√5)/(-8)
x = (3 ± √5)/4

So, the two values of x that make fx=0 are (3+√5)/4 and (3-√5)/4.

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Therefore , the solution of the given problem of inequality comes out to be the inequality x -5 is option B.

Regardless of the equal symbol, a connection or group of numbers variables can be an inequality in mathematics. Equilibrium is always followed by equity. Inequality happens when ideals are still incompatible. Differences exist between inequality expression and fairness. We chose to utilize the most prevalent symbol because elements aren't always similar or comparable (). No mater how few or many variations there are, they can all be used to evaluate values.

Here,

Option B) B is the proper response.

We must isolate x on one side of the inequality in order to answer the inequality x + 2 -3. By taking 2 away from both edges, we arrive at:

=> x < -5

According to this inequality, x is any integer that is less than -5. Since x cannot equal -5,

we must create an open circle at this point on the number line and shade to the left of it to represent all the different values of x that could be used.

Looking at the available choices, we can see that the only graph that accurately depicts the inequality x -5 is option B) B.

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Answer:

A= 9/20 B= 45% C=0.45 d= 4.5% E= 3/8 F= 0.375 G= 37.5% H= 15.5% I = 0.8 j=80%

Answer: 3

Step-by-step explanation:

39 divided by 13 is equal to 3

there are 39 days, and if you divide it by how many days (13), you would get how many messages were sent each day which is 3

Well It’s Really Simple You’ve Could Have A Calculator. 52 Fifty- Two

One cover is not enough to cover tent, Caleb will need at least 84 ground covers to cover the entire floor of the tent.

To determine if the ground cover will be sufficient, we need to calculate the area of the tent floor and compare it with the area covered by the ground cover.

The area of the tent floor is:

82 feet x 92 feet = 7544 square feet

The area covered by one ground cover is:

90 square feet

To determine the number of ground covers needed to cover the tent floor, we can divide the area of the tent floor by the area covered by each ground cover:

7544 square feet ÷ 90 square feet ≈ 84

Therefore, Caleb will need at least 84 ground covers to cover the entire floor of the tent. As the number of ground covers required is greater than one, we can conclude that the ground cover will be able to be used under the tent.

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Answer: 75

Step-by-step explanation:

MPH stands for Miles per hour

So the car drives 75 miles per hour

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

The value of a after solving through exponents = 9/5

The way of representing huge numbers in terms of powers is known as an exponent. The number of times a number has been multiplied by itself is the exponent, so to speak.

For instance, the result of multiplying the number 6 by itself four times is:

6 × 6 × 6 × 6. You can write this as

Now here,

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

Therefore, the value of a = 9/5.

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Answer: about 26.00

Step-by-step explanation:

Answer: no

Step-by-step explanation:

Answer:

tan A= 8/15

draw triangle where A and B are legs and C is hypotenuse

A=8 and C=17, meaning that you need to find B by using Pythagorean theorem (a^2+b^2=c^2)

8^2+b^2=17^2

64+b^2=289

b^2=225

b=15

tan= opposite/adjacent

tan A=8/15

1. The y-intercept of y = -3/2x - 4, is -4, which would be marked at y = -4 on the y-axis.

2. The slope (m) = 3; y-intercept (b) = -86;

The equation for the situation is: y = 3x - 86

3. Median of class A = 40; Median of class B = 8

The difference is: 32

In a linear equation, the y-intercept is the point at which the graph of the equation intersects the y-axis. It is the value of y when x is equal to zero.

1. The y-intercept of the equation, y = -3/2x - 4, is -4. This means the y-intercept on the graph would be at when y = -4 on the y-axis.

2. The slope (m) = unit rate = 3 degrees every hour

The starting value = y-intercept (b) of the situation = -86

To write an equation for the situation substitute m = 3 and b = -86 into y = mx + b:

y = 3x - 86

3. Median is the middle value of a data set, therefore:

Median of class A = 40

Median of class B = 8

The difference between the medians of the class = 40 - 8 = 32

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Answer:

2 + 2 + ?? = 4,000

?? = 3996

Step-by-step explanation:

You're welcome.

Answer:

  45

Step-by-step explanation:

You want the area of triangle RST using the area formula A=1/2bh, given the points R(-2, 7), S(-5, 1), and T(7, -5).

A plot of the points is shown in the first attachment. By counting grid squares, you can see that segment RS has a "rise" of 2 grid squares for each 1 to the right. The total (run, rise) is ...

  R -S = (-2, 7) -(-5, 1) = (-2 +5, 7 -1) = (3, 6)

The length of RS is found using the Pythagorean theorem (distance formula). It is ...

  RS = √(3² +6²) = √45 = 3√5

Similarly the length of segment ST is ...

  T -S = (7, -5) -(-5, 1) = (7 +5, -5 -1) = (12, -6)

  ST = √(12² +(-6)²) = √180 = 6√5

We note that the slopes of these segments are opposite inverses of each other:

  slope RS = 6/3 = 2

  slope ST = -6/12 = -1/2

This means the segments are at right angles. One of them can be considered to be the "base" and the other the "height" of the triangle.

Using the area formula, we find the area to be ...

  A = 1/2bh

  A = 1/2(6√5)(3√5) = (1/2·6·3)(√(5·5)) = 9·5 = 45

The area of ∆RST is 45 square units.

__

Alternate solution

When the coordinates of a polygon are given, there are several other ways to find its area. One of these is illustrated in the second attachment.

The method illustrated here computes successive "determinants", then finds the area as half the absolute value of their sum. (The sign of the sum will depend on the order in which the points are listed around the figure. Here, it is counterclockwise.) As you can see, we get the same result. You can also see that a spreadsheet is useful for doing the repetitive math.

  Area ∆RST = 45 square units

__

Additional comment

The distance formula for the length of the segment between two points is ...

  d = √((x2-x1)² +(y2-y1)²)

Above, we calculated the differences (x2-x1, y2-y1) separately, then used the "root sum squares" formula for the distance. This has the advantage that (y2-y1)/(x2-x1) is the slope of the segment, and we needed to make sure the segments were perpendicular.

Answer: The answer would be C

Step-by-step explanation:

If we start from 56,60,64,68 and were adding 4 each time the next numbers would be 72,76,80

The simplification of the radical expression √9. is 3.

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. When a radical expression appears in the denominator of an algebraic expression, the radical expression is simplified by multiplying the numerator and denominator by the appropriate radical expression (for example, conjugate in the case of a binomial and the same radical in the case of a monomial).

The given expression is √9.

The given expression can be written as:

√(3)(3) = 3

Hence, the simplification of the radical expression √9. is 3.

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Answer:

(x, y) = (-7, -2).

Step-by-step explanation:

To solve the system of equations:

y = 3x + 19

y = 5x + 33

We can use the substitution method, which involves solving one equation for one variable and substituting that expression into the other equation. Then we can solve for the remaining variable.

From the first equation, we can solve for y in terms of x:

y = 3x + 19

From the second equation, we can solve for y in terms of x:

y = 5x + 33

Now we can substitute the expression for y from the first equation into the second equation:

3x + 19 = 5x + 33

Simplifying this equation by subtracting 3x from both sides:

19 = 2x + 33

Subtracting 33 from both sides:

-14 = 2x

Dividing both sides by 2:

x = -7

Now that we have the value of x, we can substitute it back into either equation to find the value of y:

y = 3x + 19

y = 3(-7) + 19

y = -21 + 19

y = -2

The solution to the system of equations is (x, y) = (-7, -2).

Subtracting the expression (3)/(8v²x) from the expression (7)/(12vx²) will result to the expression (14v - 9x)/(24v²x²).

To subtract the two fractions, we need to find a common denominator. The least common denominator (LCD) is the least common multiple of the denominators of two or more fractions, and it is used to find a common denominator so that we can perform operations on them. The LCD of 12vx² and 8v²x is 24v²x². We can then multiply each fraction by the LCD to get the same denominator and subtract the numerators.

(7)/(12vx²) x (24v²x²)/(24v²x²) - (3)/(8v²x) x (24v²x²)/(24v²x²) = (14v)/(24v²x²) - (9x)/(24v²x²) = (14v - 9x)/(24v²x²)

So the simplified answer is (14v - 9x)/(24v²x²).

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Answer: 50 chocolate cones

Step-by-step explanation: if 5 is 125 vanilla then 125/5= 25 so every 1=25 and that means 2*25= 50

Answer:

50. There were 50 chocolate cones sold.

Step-by-step explanation:

so we do it like this: see the attachment for the work i did to solve

*Baige=Vanilla*

*brown=chocolate*

when you cross multiply you get 50

Answer:

288

Step-by-step explanation:

-2 x -8 =16
16 x 18 = 288

Answer:

288

is the answer

Step-by-step explanation:

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The value of m and n is 5√2 and 5 respectively.

The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of its other two sides, according to Pythagoras' Theorem.

A right-angled triangle.

A 45° angle is found in a triangle.

The triangle is therefore a right-angled isosceles triangle.

Hence, n = 5.

To find m:

Apply Pythagoras' theorem,

m = √{n² + 5²}

m = √(25 + 25)

m = √50

m = 5√2

Therefore, m = 5√2.

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Answer:

/AC/=10.2

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The solution of the inequality |x+3| < 2 is -5 < x < -1.

And the graph is given in the image below.

The correct option is C.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

To solve the inequality |x+3| < 2, we need to consider two cases:

Case 1: x+3 ≥ 0

In this case, the inequality simplifies to x+3 < 2, which gives us x < -1.

Case 2: x+3 < 0

In this case, the inequality simplifies to -(x+3) < 2, which gives us -x-3 < 2, or -x < 5, or x > -5.

Combining the results from both cases, we get the solution:

-5 < x < -1

To graph the solution, we draw an open circle at x=-3

(since the absolute value is less than 2, not less than or equal to), and shade the region between -5 and -1.

Therefore, the solution is -5 < x < -1.

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Answer:

vydbskehhwbe

Step-by-step explanation:

bshhdvjebheunsns

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

The surface area of a cylinder is:

Surface area = 2πr(r + h)

where r is the radius and h is the height

1) r = 5 in., h = 11 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(5)(5 + 11) = 502.4 in²

2) r = 6 in., h = 10 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(6)(6 + 10) = 602.88 in²

3) r = 2 in., h = 12 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(2)(2 + 12) = 175.84 in²

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

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The expected value of this scenario is 4.19.

The Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis.

To calculate the expected value, we need to multiply each outcome xi by its respective probability P(xi), and then add up all of these products. So, we have:

Expected value = 1(0.24) + 2(0.22) + 3(0.31) + 4(0.01) + 5(0.16) + 6(0.29)

Expected value = 0.24 + 0.44 + 0.93 + 0.04 + 0.80 + 1.74

Expected value = 4.19

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The coordinates of R are (-15, 8). The solution has been obtained by using Mid point formula.

What is Mid point formula?

The centre point of a straight line can be located using the midpoint formula. If we know the coordinates of the other endpoint and the midpoint, we can use the midpoint formula to obtain the coordinates of the endpoint as well.

We are given that Q is the midpoint of segment PR and point P is (11,-2) and point Q is (-2,3).

Let the coordinates of R be (x₂, y₂)

Using Mid point formula, we get

⇒Point Q = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

⇒(-2,3) = ((11 + x₂) / 2, (-2 + y₂) / 2)

So,

⇒-2 = (11 + x₂) / 2

⇒-4 = 11 + x₂

⇒x₂ = -15  

Similarly,

⇒3 = (-2 + y₂) / 2

⇒6 = -2 + y₂

⇒y₂ = 8

Hence, the coordinates of R are (-15, 8).

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Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.

Two or more lines, dotted lines, or planes that remain the same distance apart and never cross, even if they are extended indefinitely in both directions, are referred to as parallel in mathematics. The sign "||" stands for parallel lines. There are many significant characteristics of parallel lines. The fact that a transversal line—a line that crosses two or more parallel lines—always forms equal angles is among the most significant.

given

If two lines are drawn, one from the highest spot on the roof to the surface and the other from the lowest point, they must be parallel to one another. Those lines must also be parallel to one another if we sketch one from the leftmost point on the roof to the surface and another from the rightmost point on the roof to the surface.

Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.

To ensure that the measurements are precise and that the roof is built at the right angle to be parallel to the road, this may require using a level or other instruments.

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2.8889........., 2.8890........, 2.8891...... etc is an irrational number the is between the two rational numbers.

What is a rational number, with an example?

Any number with the pattern p/q, where p and q are integers and q is not equal to 0, is a rational number. Rational numbers include, among others, 1/3, 2/4, 1/5, 9/3, and so forth.

A rational number is a number which is can be represented as the quotient of two numbers without having any remainder i.e., having remainder 0. For example 2.45, 2, 3 etc.

An irrational number has a non zero remainder and has a non terminating quotient. For example the numbers shown in the question 2.888...... and 2.999..... etc.

So the numbers between 2.888... and 2.999... are 2.8889........., 2.8890........, 2.8891...... etc

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The area of the hexagon is 98 sq. m and option 3 is the correct answer.

The closed polygonal form of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides. Regular pentagons, for instance, have 5 equal sides, while regular octagons have 8 equal sides. When these requirements are not satisfied, polygons might resemble many other asymmetrical forms. A regular hexagon is formed when six equilateral triangles are placed side by side. The regular hexagon's area then increases to six times that of the identical triangle.

Given that,

The scale factor of two similar hexagons is 3:7.

The ratio of the area will thus be,

(3/7)^2 = 9/49.

For the area of the smaller hexagon as 18 we have:

9/49 = 18/A

(9/49)A = 18

Multiplying both sides by 49/9, we get:

A = 98 sq. m

The volume of the hexagon cannot be determined by the given information.

Hence, the area of the hexagon is 98 sq. m and option 3 is the correct answer.

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