Can someone help me? I'd appreciate it

The length of the hypotenuse is √269

The Pythagorean theorem states that the sum of the squares on the legs of a right triangle equals the square on the hypotenuse.

Given that the measures of the triangle are 10 feet and 13 feet

We have to find the length of the hypotenuse of the triangle

By Pythagoras theorem

a2 + b2 = c2

here a = 10 and b = 13

102 + 132 = c2

C2 = 100 + 169

C2 = 269

C= √269

Therefore the length of the hypotenuse is √269

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Step-by-step explanation:

A IS THEM ANSWER

The required angles (corresponding, vertical and alternate) in relation to the Parallel lines are attached accordingly.

Parallel lines are coplanar infinite straight lines that do not cross at any point in geometry. Parallel planes are planes that never intersect in the same three-dimensional space.

When two parallel lines cross by any other line (i.e. the transversal), corresponding angles are generated in matching corners or corresponding corners with the transversal.

When two parallel lines are sliced by a transversal, the resulting alternate exterior angles are congruent, according to the Alternate Exterior Angles Theorem.

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The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

-17 (I believe)

Step-by-step explanation:

If x = 64 then the first one is asking for the square root of 64 (8)

With y being 25 the second part of this problem is actually really easy, all its doing is getting the square root and then squaring it (doing nothing at all) so that would just be 25 which would make it

8-25 which would be -17

Answer:

Step-by-step explanation:

The data given:

Put the data in the ascending order:

Since the data size is even, the median is the average of middle two:

Answer:

55

Step-by-step explanation:

Since whole numbers do not include fractions and decimal values, 55 is the answer

5 years longer then Bill, 2x5=10.

10+2=12.

12-5=7

Hoang has be there for 12 years. Bill has for 7 years.

Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars

We are given that the daily service charges are 0.5 dollars

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.

Let d be the number of days to find the total charges.

Since the month consists of at most 31 days

The total charges t can be expressed as t = a + b*x, where  x > 0 and

x <=31.

We are given that the internet service charges of 20 dollars.

We are given that the daily service charges are 0.5 dollars.

The days in the month are in the range of 1 to 31 (max).

Note, if x increases by 1 unit, then t is added by b.

Given values: a = $20; b= $0.5.

Solution equation:

t = $20 + x*$0.5

What is constant?

A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.

What is variable?

A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.

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Answer:

A. The ordered pair (1,2) is a solution to the system of linear equations.

B. When (1,2) is substituted into the second equation, the equation is true

C. When (1,2) is substituted into the first equation, the equation is true

Step-by-step explanation:

X and Y coordinates is an address, which helps to locate a point in two-dimensional space. Any point in the coordinate plane is referred by a point (x, y), where the x value is the position of the point with reference to the x-axis, and the y value is the position of the point with reference to the y-axis. The x and y coordinates of a point have positive or negative values, based on the location of the point in the different quadrants.

so know that we know that the point (1,2) is the same as saying (x,y)

so now we just substitute both of the equation with the x and y values

x = 1

y = 2

y = -2x + 4, changes to 2 = -2(1) + 4

and

7x - 2y = 3, changes to 7(1) - 2(2) = 3

now lets solve them

Let's solve the first equation

2=(−2)(1)+4

Step 1: Multiply -2 by 1

2 = -2 + 4

Step 2: Add 4 to -2

2 = 2

Since 2 = 2, we know that (1,2) is true for this equation

Now lets solve the other, to see if it's true too

7(1) - 2(2) = 3

Step 1: Multiply 7 times 1, and -2 times 2

7 - 4 = 3

Step 2: Subtract

3 = 3

We know that (1,2) is true for this equation too

If you want to solve by substitution or elimination, you can do that too

So the answers are A, B, and C or option 1, 2, 3

Answer:

25, 0, -12.5

Step-by-step explanation:

See attached

Rate of change is:

Interval 0 - 1 min

Interval 1 - 2 min

Interval 2- 5 min

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

​

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.

The distance between the two points is approximately 5.66 units

Using the formula for the distance between two points on a coordinate plane:

Distance = √[(y2 - y1)^2 + (x2 - x1)^2]

We can plug in the given values into the distance formula:

given that

y2 = 9, y1 = 13, x2 = 4, and x1 = 0

= √[(9 - 13)^2 + (4 - 0)^2]

= √[(-4)^2 + (4)^2]

= √(16 + 16)

= √32

= 4√2

= 5.6569

= 5.66

Therefore, the distance between the two points is approximately 5.66 units, which corresponds to option A.

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The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.

Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.

Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.

The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.

The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.

The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.

The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.

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A total of 23800 cubes can fit inside the box of the given dimensions.

The volume of a cube is given by -

Volume = a x a x a = a³

Given is that a box has a length of 10 inches, a width of 8\(\frac{3}{4}\) inches, and a height of 4\(\frac{1}{4}\) inches.

The volume of the box would be -

V = 10 x 8\(\frac{3}{4}\) x 4\(\frac{1}{4}\)

V = 10 x 35/4 x 17/4

V = 371.875 inches³

The volume of cube -

v = 1/4 x 1/4 x 1/4

v = 0.015625 inches³

Number of cubes that will fill the box would be -

n = V/v

n = 371.875/0.015625

n = 23800

Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.

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Answer:

Step-by-step explanation:

-64 = - 0.8k

k = -64 / -0.8

therefore k = 80

Hope it will help :)

Answer:

k = 80

Step-by-step explanation:

\( - 64 = - 0.8k\)

We can convert the decimal from - 0.8 into - 8/10.

\( - 0.8 = - \frac{8}{10} \)

Rewrite the equation.

\( - 64 = - \frac{8}{10} k\)

Move 10 to multiply - 64

\( - 64 \times 10 = - 8k \\ - 640 = - 8k\)

Then we move - 8 to divide - 640.

\( \frac{ - 640}{ - 8} = k \\ 80 = k\)

Dividing both negative equal positive. Therefore, the value of k is 80.

Answer Check

Substitute k = 80 in the equation.

\( - 64 = - 0.8 \times 80 \\ - 64 = - \frac{8}{10} \times 80 \\ - 64 = - 8 \times 8 \\ - 64 = - 64\)

The equation is true. Therefore, 80 is the right answer.

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

See below

Step-by-step explanation:

Median is the number in the middle of a list....if there are two numbers in the middle average them

5  5 13  14 16  17   <=====average of 13 and 14 is 13.5 kg

The exponential function that represents the population r years after 1993 is A(t) = 2600(1.021)^t

From the question, we have the following parameters that can be used in our computation:

Initial population = 2600

Rate of growth = 2.1 percent per year

The above parameters can be represented as

Initial population, a = 2600

Rate of growth, r = 2.1% per year

The exponential function that represents the population r years after 1993 can then be represented as

A(t) = a * (1 + r)^t

Substitute the known values in the above equation, so, we have the following representation

A(t) = 2600 * (1 + 2.1%)^t

Evaluate the sum

A(t) = 2600 * (1.021)^t

So, we have

A(t) = 2600(1.021)^t

Hence, the expression is A(t) = 2600(1.021)^t

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It will take 3 3/4 hours to sew 1/2 of a jean pair

Here, we want to get the amount of time it will take to sew 1/2 of a pair of jean

To answer this, we shall use the direct relation system

We have this as follows;

The answer is : p = -4

the following are the steps to solve it::

13 - 3p = -5 (3 + 2p)

calculate the area of the right hand first by multiplying the number 5 by the number in brackets

13 - 3p = -15 - 10p

move everything that contains p to the left side

13 - 3p + 10p = - 15

count all containing p

13 + 7p = -15

move the ones that don't contain p to the right

7p = -15 - 13

count on the right side

7p = - 28

p = -4

The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2

From the question, we are to solve the given linear inequality

The given linear inequality is

6(x1.5) + 30 < 48

First, we will write this inequality properly.

The inequality can be properly written as

6(1.5x) + 30 < 48

Now, we will solve the linear inequality

6(1.5x) + 30 < 48

Subtract 30 from both sides of the equation

6(1.5x) + 30 - 30 < 48 - 30

6(1.5x) < 18

Divide both sides of the inequality by 6

6(1.5x)/6 < 18/6

(1.5x) < 3
1.5x < 3

Divide both sides of the inequality by 1.5

1.5x/1.5 < 3/1.5

x < 2

Hence, the solution is x < 2

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Answer:

-3

Step-by-step explanation:

I Think :D

The mean value theorem is used to link the average rate of change and the derivative of a function.

The value of V is 8.

The givenparameters are:

Mean value theorem states that:

If  [a,b] and

(a,b),

Then there is a point c in (a,b), such that:  

From the question, we understand that: f is differentiable

This means that:

avethat:

The equation becomes

Cross mltiply

o both side

From the question, we have:

By comparisons;

Hence, the value of V is 8.

Answer:

131072

Step-by-step explanation:

Let's put it into expression form and simplify as much as possible :

\(\frac{(2)(4)(8)(16)(32)(64)}{2^{4} }\) =

\(\frac{2097152}{16}\) =

131072

Hope this helped and have a good day

Answer: 131,072

Step-by-step explanation:

2 x 4=8

8 x 8=64

64 x 16=1024

1024 x 32=32768

32768 x 64=2097152

\(2^{4}\)=16

2097152/16= 131072

Answer:

20 doses

Step-by-step explanation:

400 milli. = 0.4 grams

8/0.4 = 20 doses

-1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

To determine the value of "a" for which the function f(x) is continuous at x = 1, we need to check if the left-hand limit and the right-hand limit of f(x) as x approaches 1 are equal, and if the value of f(x) at x = 1 is equal to these limits.

First, let's calculate the left-hand limit of f(x) as x approaches 1. For x < 1, the function is given by f(x) = (ax² - 1). To find the left-hand limit, we substitute x = 1 into this expression:

lim(x→1-) f(x) = lim(x→1-) (ax² - 1) = a(1²) - 1 = a - 1.

Next, let's calculate the right-hand limit of f(x) as x approaches 1. For x > 1, the function is given by f(x) = (a(x² - 2x + 1)). Substituting x = 1 into this expression, we have:

lim(x→1+) f(x) = lim(x→1+) (a(x² - 2x + 1)) = a(1² - 2(1) + 1) = a(1 - 2 + 1) = a.

For the function f(x) to be continuous at x = 1, the left-hand limit and the right-hand limit should be equal. Therefore, we have:

a - 1 = a.

To solve this equation for "a," we subtract "a" from both sides:

-1 = 0.

Since -1 does not equal 0, the equation is not true for any value of "a". This means that there is no value of "a" for which the function f(x) is continuous at x = 1.

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The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

Three

Step-by-step explanation:

Assuming the grade score from 70 to 100 is A; for grade score from 60 to 69 is B and grade score from 50 to 59 is C. Well it is certain there are three peaks in the distribution of scores