Identify the area of the figure rounded to the nearest tenth.

Answer:

15 miles

Step-by-step explanation:

5 = price per mile   x= number of miles   1.5 = pick-up fee   76.5 = total  

5x + 1.5 = 76.5

5x = 76.5 - 1.5

5x = 75

x =75/ 5

x = 15

The value of PM is the circle is about 11.66 cm

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

From the diagram:

PM = PQ/2 = 20 / 2 = 10 cm

Hence, using Pythagoras:

PL² = LM² + MP²

PL² = 6² + 10²

PL = 11.66 cm

The value of PM is the circle is about 11.66 cm

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Answer:

x=12

Step-by-step explanation:

Using the external angle theorem (external angle = sum of interior angles that are NOT adjacent to the external angle you are finding), we can set up an equation...

140=3x+4+8x+4

Start by combining like terms...

140=11x+8

Subtract 8 from both sides

132=11x

Divide both sides by 11

x=12

The expression is always positive Philip's statement is always true.

The expression -p + 5 + p can be written as -p + 5 + p = -p + p + 5,

which simplifies to 5, no matter what the value of p is.

An expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division. Expressions may or may not have an equal sign. Expressions can be evaluated by replacing any variables with specific values and then simplifying the resulting expression using the order of operations.

Therefore, the expression is always positive and Philip's statement is correct.

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The area of the triangle to the nearest tenth is 5.8cm²

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon. Examples of triangle include, isosceles, equilateral , scalene e.t.c

The area of a triangle is expressed as;

A = 1/2 b h for right angle triangle and A = absinC for others.

Here; x = 4.7, y = 7.9, W = 162

area = 1/2× 4.7 × 7.9 sin162

= 1/2 × 4.7 × 7.9 × 0.31

= 5.8 cm²( nearest tenth)

Therefore the area of the triangle is 5.8cm²

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There are 25 males in village 3

The given parameters are:

Total males = 75

                 Male     Female   Total

Village 1   20              25

Village 2  30                            50

Village 3                     30

Total         75

The number of male in village 3 is calculated using:

Male = Total Male - Male in villages 1 and 2

So, we have:

Male = 75- (20 + 30)

Evaluate

Male = 25

Hence, there are 25 males in village 3

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Complete question

An island has three villages and the total number of males is 75. The first village has 20 males and 25 females. The second village has 50 people of whom 30 are males. The third village has 30 females.

Calculate the number of male in third village

Radius of a circle is the distance from the center of the circle to any point on it's circumference. It is usually denoted by 'R' or 'r'. This quantity has importance in almost all circle-related formulas.

The area and circumference of a circle are also measured in terms of radius. Circumference of circle = 2π (Radius)

When the diameter is known, the formula is Radius = Diameter/ 2. When the circumference is known, the formula is Radius = Circumference/2π.

When the area is known, the formula for the radius is Radius = ⎷(Area of the circle/π).

What is a circle?

A circle has defined the set of all points in a plane that are the same distance from a fixed point called the center. The circle is a 2D shape.

In geometry, the circle is defined as the closed 2-dimensional curved shape. The distance from between the center of the circle to any point on the circle is known as the radius of the circle.

As we have discussed the definition of a circle, therefore, the correct option is 'A circle is the set of all points in a plane that are the same distance from a fixed point called the center.'

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Answer:

90 -4.75x = 75 -3.25x

90-75= 4.75x-3.25x

x= 10

Step-by-step explanation:

Answer:

10 drinks

Step-by-step explanation:

We can set up an equation to find the amount of drinks needed, x.

\(90-4.75x = 75-3.25x\)

Now let’s solve for x by isolating it on one side of the equation.

Subtract 75 from both sides:

\(15 - 4.75x = -3.25x\)

Add 3.25x to both sides:

\(15-1.5x=0\)

Add 1.5x to both sides:

\(15 = 1.5x\)

Divide both sides by 1.5:

\(x = 10\)

Hope this helped!

A line graph is used when an independent variable is a continuous quantitative variable. A line graph is a type of chart used to represent data over time with the help of lines connecting various data points.

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Answer:

110 degrees?

Step-by-step explanation:

35+35= 70 right?

So then would have to subtract the 70 from 180  because that is total length of an angle to get 110 degrees

110 degrees

I might be wrong, because it might be different with triangles

Answer:

U = 110

Step-by-step explanation:

The formula for finding missing angle is.

a + b + c = 180   or in this case   S + U + T = 180.

You already have the measurement of two angles so plug those in.

35 + U + 35 = 180

Now all you have to do is simplify and solve it.

35 + 35 + U = 180  

70 + U = 180   you simplify by adding together 35.

U = 110     to cancel out 70 and isolate U you subtract 70 to both sides.

Answer: True

Step-by-step explanation: Dilations do not change the angle measure. All line segments are changed by the same factor, therefore the angle remains the same.  

The sine of an angle and the cosine of its complementary angle are related. Given that sin 36° is 0.588, we can use this information to find the cosine of the complementary angle.

The sine and cosine of complementary angles are related by the identity: sin θ = cos (90° - θ). Since sin 36° is given as 0.588, we can find the cosine of the complementary angle by substituting it into the identity.

cos (90° - θ) = sin θ

cos (90° - θ) = 0.588

Now we can solve for the cosine of the complementary angle by taking the square root of both sides:

cos (90° - θ) = √(0.588)

cos (90° - θ) ≈ 0.767

Therefore, the cosine of the complementary angle is approximately 0.767.

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The area represented by g(x) is a triangular region with base 1 and height (7/3) x, where x is the variable along the horizontal axis. The resulting shape will be a right triangle with vertices at (0,0), (1,0), and (0, (7/3) x).

It seems like you are asking to sketch the area represented by the function g(x) given as the integral of x with respect to t from 1 to 2. However, there seems to be a typo in your question. I will assume that you meant g(x) = ∫[1 to x] t^2 dt. Please follow these steps to sketch the area represented by g(x):

1. Draw the function y = t^2 on the coordinate plane (x-axis: t, y-axis: t^2).

To sketch the area represented by g(x) = x t2 dt 1, we first need to evaluate the definite integral. Integrating x t2 with respect to t gives us (1/3) x t3 + C, where C is the constant of integration. Evaluating this expression from t=1 to t=2 gives us (1/3) x (2^3 - 1^3) = (7/3) x.

2. Choose an arbitrary x-value between 1 and 2 (e.g., x = 1.5).
3. Draw a vertical line from the x-axis to the curve of y = t^2 at x = 1.5. This line represents the upper limit of the integral.
4. Draw another horizontal axis from the x-axis to the curve of y = t^2 at x = 1. This line represents the lower limit of the integral.
5. The area enclosed by the curve y = t^2, the x-axis, and the vertical lines at x = 1 and x = 1.5 represents the area for the given value of x.

In conclusion, the area represented by g(x) = ∫[1 to x] t^2 dt can be sketched by plotting the curve y = t^2, choosing a specific x-value between 1 and 2, and then finding the enclosed area between the curve, x-axis, and the vertical lines at x = 1 and x = chosen x-value.

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Answer:

99/150= 62/150

Step-by-step explanation:

45 is the simplified version of the given expression or function.

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. It is a rule or a procedure that assigns to each input value exactly one output value. Functions are often represented as a mathematical equation, a graph, or a table showing the input and corresponding output values. They are used in many branches of mathematics, science, and engineering to model and analyze real-world situations.

Here,

First, let's simplify the expression inside the parentheses:

(-2-3)² = (-5)² = 25

Next, we can simplify the expression inside the second set of parentheses:

(10-30) = -20

Now, we can substitute these values into the original expression:

(-2-3)² +(-1). (10-30) = 25 + (-1)(-20)

Using the rule that a negative multiplied by a negative is a positive, we can simplify further:

25 + 20 = 45

Therefore, (-2-3)² +(-1). (10-30) = 45.

The simplified form of given expression or function is 45.

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Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

37/8=-17/2x

37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

Answer:

Yes

Step-by-step explanation:

For every one x value is equal to one y value, therefore it's a one-to-one function.

The distance d from P to the point (0,0) is √x²+x.

What is the distance formula?

The d-distance between two places is calculated using the distance formula. The distance formula determines how far apart two areas are from one another. The dimensions of these points are unlimited.

Here, we have

Given: Let P(x,y) be a point on the graph of y=√x.

We have to find the distance d from P to the point (0,0)(0,0) as a function of x.

Since P = (x,y) is on the graph of y =√x,

P can be expressed as (x,√x).

Now, we apply the distance formula and we get

d = √[(x - 0)² + (√x - 0)²]

d = √x²+x

Hence, the distance d from P to the point (0,0) is √x²+x.

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By putting every value of table x,   y = (96 / x) this gives the output of table y so that this is the correct answer.

By definition, it is known that speed equals the ratio of distance and time.

Speed = Distance / Time

Therefore, according to the definition, the last two options are the possible

 Let's evaluate the First option:

y = x/96

= 12/96

= 1/8

The table is not fulfilled

Let's evaluate the Second option: (12,8)

y= 2x/3

y= 2*12/3

y = 8

NOW,

(16, 6)

y= 2x/3

2*16/3

the answer will be on a fraction

The table is not fulfilled

Let's evaluate the third option:

y = (3/2) * (1 / x)

x = 12

y = (3/2) * (1/12) = 3/24 = 1/8

The table is not fulfilled

Let's evaluate the fourth option:

y = (96 / x)

x = 12

y = (96/12) = 8

Yes, the table is met.

Option 4 )  y = (96 / x)

By putting every value of table x,   y = (96 / x) this gives the output of table y so that this is the correct answer.

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Step-by-step explanation:

y = 2x + b ---> 3 = 2(1) + b ---> b = 1

Therefore, y = 2x + 1

The probability for -2.51 ≤ Z ≤ -1.53 is 0.0570.

The probability for Z ≥ -2.12 is 0.9830.

To find the probability for the given scenarios, we can use the Z-table or standard normal distribution table, which provides the cumulative probabilities for a standard normal random variable Z.

1) For -2.51 ≤ Z ≤ -1.53:

Find the cumulative probability for Z = -1.53 and Z = -2.51 using the Z-table. Then subtract the cumulative probability of Z = -2.51 from the cumulative probability of Z = -1.53.

P(-1.53) = 0.0630
P(-2.51) = 0.0060

P(-2.51 ≤ Z ≤ -1.53) = P(-1.53) - P(-2.51) = 0.0630 - 0.0060 = 0.0570

2) For Z ≥ -2.12:

Find the cumulative probability for Z = -2.12 using the Z-table. Since we want the probability that Z is greater than or equal to -2.12, we need to subtract the cumulative probability from 1.

P(-2.12) = 0.0170

P(Z ≥ -2.12) = 1 - P(-2.12) = 1 - 0.0170 = 0.9830

So, the probability for -2.51 ≤ Z ≤ -1.53 is 0.0570, and the probability for Z ≥ -2.12 is 0.9830.

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The solution set to inequality is (−12.57, ∞) for the given equation.

what are inequality symbols ?

Inequality symbols are mathematical symbols used to compare two values or expressions. The most commonly used inequality symbols are:< (less than): used to indicate that the value on the left is smaller than the value on the right.>(greater than): used to indicate that the value on the left is greater than the value on the right.≤ (less than or equal to): used to indicate that the value on the left is either smaller than or equal to the value on the right.≥ (greater than or equal to): used to indicate that the value on the left is either greater than or equal to the value on the right.

Given by the question:

Starting with

-1.5(4x+1) ≤ 45-2.5(x+1):-

6x-1.5 ≤ 45-2.5x-2.5-6x-1.5 ≤ -2.5x+42.

5-6x+2.5x ≤ 42.5+1.5-3.5x ≤ 44x ≥ -44/3.5x ≥ -12.57

(rounded to two decimal places)

Therefore, the solution set is (−12.57, ∞).

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The indicated left sum for the given function on the indicated interval, the value L4 for f(x) = 1/x-1on [3, 4] L4 = 0.7595.

Let Ln denote the left-endpoint sum using n sub intervals.

We are given that

\(f(x) = \frac{1}{x-1}\)  [3,4]

We have to find L4

It means n = 4

x = \(\frac{b-a}{n} = \frac{4-3}{4} = \frac{1}{4}\) = 0.25

Now, intervals are

[3, 3.25], [3.25, 3.50], [3.5, 3.75], [3.75, 4]

Now,

\(L_{4} = f(x_{0}) \triangle x+f(x_{1})\triangle x +f(x_{2})\triangle x+f(x_{3})\triangle x\\ \\ L_{4} = \frac{1}{3-1} (0.25)+\frac{1}{3.25-1}(0.25)+\frac{1}{3.5-1}(0.25)+\frac{1}{3.75-1}(0.25)\\ \\ L_{4} = 0.7595\)

Hence the answer is the indicated left sum for the given function on the indicated interval, the value L4 for f(x) = 1/x-1on [3, 4] L4 = 0.7595.

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The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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Answer:

False

Step-by-step explanation:

Because you're not supposed to add to the output values, you need to multiply the output values.

Answer:

6.2 x 10^-2

Step-by-step explanation:

number has to be inbetween 1-10, move decimal point and keep track how many times you moved it, in this problem the decimal moves to the right twice, making it negative.

The solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

According to the given question.

We have an expression (d-6)(2e-3)+(d-6)(e+1).

Here, we have to find the solution of the given expression.

As we know that, an action or process of solving a problem.

Therefore, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is given by

(d-6)(2e-3)+(d-6)(e+1)

= 2de -12e -3d + 18 + de -6e + d - 6            (by distributive rule)

= 3de -18e -2d + 12

Hence, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

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When rolling a number cube one time, there are several things that are true. Here are three options:

1. The outcome will be a whole number between 1 and 6: Since the number cube has faces numbered from 1 to 6, rolling it one time will result in one of these whole numbers.

2. Each face has an equal chance of landing face-up: The number cube is designed in such a way that each face has an equal probability of landing face-up when rolled. This means that the chances of rolling a 1, 2, 3, 4, 5, or 6 are all the same.

3. The outcome is independent of previous rolls: Rolling the number cube one time does not depend on or affect any previous rolls. Each roll is considered an independent event, so the previous outcome does not influence the next roll.

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The limit as x approaches -7 of the expression 7 - |x| / (7 + x) is -14/0, which is undefined.

When evaluating the limit as x approaches -7, we consider the left-hand limit and the right-hand limit separately.

For the left-hand limit, as x approaches -7 from the left (x < -7), the absolute value of x, denoted as |x|, becomes -(x), since x is negative. Thus, the expression simplifies to 7 - (-x) / (7 + x), which can be rewritten as 7 + x / (7 + x). As x approaches -7 from the left, the denominator (7 + x) approaches 0, and the numerator (x) also approaches 0. Therefore, the left-hand limit is 0/0, which is an indeterminate form.

For the right-hand limit, as x approaches -7 from the right (x > -7), the absolute value of x, denoted as |x|, becomes x itself, as x is positive or zero. Thus, the expression remains as 7 - |x| / (7 + x), which simplifies to 7 - x / (7 + x). As x approaches -7 from the right, the denominator (7 + x) approaches 0, and the numerator (-x) approaches -7. Therefore, the right-hand limit is -7/0, which is also an indeterminate form.

Since the left-hand limit and the right-hand limit are both indeterminate forms, the overall limit as x approaches -7 is undefined.

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