William drove 344 miles in 8 hours. If he continued at the same rate, how far would he travel in 17 hours?

Answer:

6.5=30, 5.3.5.2=150

It is a geometric series.

30, 150,......

a1=30

common ratio

r= 150/30= 5

an=ar^(n-1)

The domain of (a) p(x)/m(x) is (0,∞), the domain of (b) p(m(x)) is (-∞,36]∪[36,∞), and the domain of (c) m(p(x)) is [0,∞).

The domain of a function is the set of all input values for which the function is defined. Interval notation is a way of representing a set of real numbers as a range. It is written in the form of (a,b) where a and b are the lower and upper bounds of the interval, respectively.

For (a), we need to consider the domains of both p(x) and m(x). The domain of p(x) is (0,∞) because the function involves taking the square root of x, which is not defined for negative values. The domain of m(x) is (-∞,∞) because it is a polynomial and it is defined for all real values of x. Therefore, the domain of p(x)/m(x) is (0,∞).

For (b), the domain of p(m(x)) is the set of all values of x for which m(x) is in the domain of p(x). As we have already seen, the domain of p(x) is (0,∞). Therefore, the domain of p(m(x)) is the set of all real values of x for which m(x) ≥ 0. This can be represented as the interval (-∞,36]∪[36,∞).

For (c), the domain of m(p(x)) is the set of all values of x for which p(x) is in the domain of m(x). As we have already seen, the domain of m(x) is (-∞,∞). Therefore, the domain of m(p(x)) is the set of all real values of x for which p(x) ≥ 0. This can be represented as the interval [0,∞).

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Answer:

65°

Step-by-step explanation:

The sum of the measures of complementary anfglwes is 90°.

Let a = the measure of the complement.

m<1 + a = 90

25 + a = 90

a = 65

Answer:

A. -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-9p - 17 = 10

Step 2: Solve for p

The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.

Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.

So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided

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The expression has no solution when k < - 5.

Hence, option B is correct.

The given inequality is

|2x + 7|-k ≤ 5

We know that,

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count.

A function with absolute values is another name for it.

No matter what input was provided to this function, the outcome is always favorable.

Now adding k both sides of inequality,

⇒ |2x + 7| ≤ 5 + k

When we take value of k less than -5

Then the expression |2x + 7| becomes negative.

Since it always gives absolute value,

Therefore,

There is no any solution when k < -5.

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Answer:

It is true.

Step-by-step explanation:

4*8 = 32, which is divisible by 4.

222*608 = 134 976, which is divisible by 4.

Answer:

20 square inches

GPS.....................GPS..............................................................................................

The graph that shows a direct variation is the one in which a straight line passes through the origin, with the equation y = kx and the slope equal to k.

The graph that shows a direct variation is the one in which a straight line passes through the origin.

A direct variation is a type of relationship between two variables in which their ratio is constant.

It means that as one variable increases, the other variable increases proportionally, and as one variable decreases, the other variable decreases proportionally.
In a direct variation, the equation is usually in the form y = kx, where k is the constant of proportionality. The graph of a direct variation is a straight line that passes through the origin, or (0,0). This means that when x = 0, y = 0. The slope of the line is equal to k.
For example, if we have a direct variation between the number of miles driven and the amount of gas used, the equation would be y = kx, where y is the amount of gas used, x is the number of miles driven, and k is the constant of proportionality, which represents the gas mileage of the car.

The graph of this direct variation would be a straight line passing through the origin.

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Answer:

$122.85

Step-by-step explanation:

65/100 x 189 = $122.85

Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

Answer:

4.8

Step-by-step explanation:

i think

Answer:

43.6*10⁴

Step-by-step explanation:

4.9 * 10⁵ = 49*10⁴

then:

4.9*10⁵ - 5.9*10⁴ = 49*10⁴ - 5.9*10⁴ = (49-5.4)*10⁴ = 43.6*10⁴

Answer:

4.32 × 10^5

Step-by-step explanation:

First, multiply 4.9 by 10^5=490000 and 5.8 by 10^4=58000. Subtract 58000 from 490000=432000. Then, scientific notation is a number between 1 and 10 being multiplied by a power of ten, so get 432000 down to a number between 1 and 10, which is 4.32 and 4.32 multiplied by 10^5 is 432000.

(hope this helps :P)

Using a system of equations, it is found that:

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

\(2x + y = 37.28 \rightarrow y = 37.28 - 2x\)

\(7x + 7y = 182.28\)

Simplifying everything by 7.

\(x + y = 26.04\)

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

Considering \(y = 37.28 - 2x\)

\(x + 37.28 - 2x = 26.04\)

\(x = 11.24\)

\(y = 37.28 - 2(11.24) = 14.80\)

One roll of plain wrapping paper costs $11.24.

One roll of holiday wrapping paper costs $14.80.

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Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

The equations that are correct are a = 1/2(-2b + 2c -d) and c = a + b + d/2. The correct options are  C. c = a + b + d/2 and D. a = 1/2(-2b + 2c -d)

From the question, we are to solve the equation for each variable

The given equation is

a + b = c - d/2

Solving for a

a + b = c - d/2

a = -b + c -d/2

Multiply through by 2

2a = -2b + 2c -d

By multiplying both sides by 1/2, this can be written as

a = 1/2(-2b + 2c -d)

Solving for b

a + b = c - d/2

b = -a + c - d/2

Multiply through by 2

2b = -2a + 2c - d

By multiplying both sides by 1/2, this can be written as

b = 1/2(-2a + 2c - d)

Solving for c

a + b = c - d/2

a + b + d/2 = c

Therefore,

c = a + b + d/2

Solving for d

a + b = c - d/2

Multiply through by 2

2a + 2b = 2c - d

d = 2c  - 2a - 2b

d = -2a - 2b + 2c

Hence, a = 1/2(-2b + 2c -d) and c = a + b + d/2  are correct

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Answer:

Step-by-step explanation:

Select any two random points on the graph of the line (preferably with integer coordinates).

Label them as A and B (in any order).

Calculate the "rise" from A to B. While going vertically from A to B, if we have to go

"up", then the rise is positive;

"down", then the rise is negative.

Calculate the "run" from A to B. While going horizontally from A to B, if we have to go

"right", then the run is positive;

"left", then the run is negative.

Now, use the formula: slope = rise/run.

Answer:

slope = rise/run

Step-by-step explanation:

Select any two points on the graph

slope = rise/run

Answer:

1st one

Step-by-step explanation:

Step-by-step explanation:

answerss

the Last one or the 1st one but go w it the last

The volume of the composite figure is calculated as:

= 1,894.2 cm³

The volume of the composite figure can be calculated using:

Volume = volume of rectangular prism + 1/2(volume of cylinder)

Volume of rectangular prism = length * width * height

length = 15 cm

width =  2(6) = 12 cm

height = 10 cm

Volume of rectangular prism = 15 * 12 * 10 = 1,800 cm³

Volume of half Cylinder = 1/2(πr²h)

r = 6 cm

h = 10 cm

π = 3.14

Volume of half Cylinder = 1/2(πr²h) = 1/2 * 3.14 * 6 * 10 = 94.20 cm³

Volume of the composite figure = 1,800 + 94.20 = 1,894.2 cm³

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A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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Answer:

They have the same angle measure

Step-by-step explanation:

Congruent angles have the same angle measure, theyre the same. That’s the definition of “congruent”. Both of their angle measures are 128 degrees.

You get the length and you times it by the width giving you the answer

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

Answer:

unit price= $23.75

Step-by-step explanation:

$71.25/ 3

unit price means the price of 1

Answer: $175

Step-by-step explanation:

$7.00 x 15 = $105.00

$105.00 / 3 hours = $35/hr.

$35 x 5 = $175

Answer:

The total length of the tunnel when the crew has finished digging is 1078 meters

Step-by-step explanation:

total length of the tunnel dug by the crew =  573 meters

let the halfway point of the tunnel = h

if the crew digs 34 meters past the halfway point, then we will this equation below;

h + 34 meters = 573 meters

h = 573 - 34

h = 539 meters

halfway point of the tunnel is 539 meters

Then, the total length of the tunnel when the crew has finished digging = 2h

= 2 x 539 meters

= 1078 meters

Therefore, the total length of the tunnel when the crew has finished digging is 1078 meters