Find the number of unique permutations of the letters in the word: EXTENT
720
180
900
36

Answer:

If you  look it up it should be there

Step-by-step explanation:

google :\

Answer: Hello i am here to anwser your 2 part queston! <3

Step-by-step explanation:

the linear functon is  Y= -2.5x+170

after 5 weeks he will have lost 157.5 lbs!!

The linear function in the form y = mx + b to model Jose's weight loss each week is → y = - 2.5x + 170.

Given is that Jose weighed himself on Monday and he weighed 170 pounds. Two weeks later he weighed 165 pounds.

The linear function is given by → y = ax + b. We can write the slope -

{a} = (165 - 170)/(2 - 0)

{a} = - 5/ 2

{a} = - 2.5

The linear function will become -

y = -2.5x + b

At [x] = 0, the value of [y] is 170.

So, the linear function can be written as -

y = - 2.5x + 170

Therefore, the linear function in the form y = mx + b to model Jose's weight loss each week is → y = - 2.5x + 170.

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The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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Answer:y=x+0

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

sh. 24,000

Step-by-step explanation:

Given that the hire purchase price for a flat screen TV is 25% more than the cash price. If kamuyu bought the TV on hire purchase terms by paying a deposit of sh.14,000 and the remaining amount in 8 equal installment of sh.2,000 then the total amount paid by Kamuyu on hire purchase

= 14000 + 8(2000)

= 14000 + 16000

= sh. 30,000

Recall that the hire purchase price is 25% more than the cash price. Let the cash price be  C then,

1.25C = 30,000

Divide both sides by 1.25

C = 30000/1.25

= sh. 24,000

The cash price for the TV is sh. 24,000

The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

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Answer:

answer

Step-by-step explanation:

step by step explanation

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Answer:

The sample is the 80 bottles that were randolmy selected on March 11.

Step-by-step explanation:

jvghiuuytuury   ioiy6r yyguytt7i y7t65yu

Answer:

True.

Step-by-step explanation:

[0, 1] means all numbers in between 0 and 1, 0 and 1 included.

A probability is always a number in that interval. For example: 0.384, 0.222, 0.938, etc!

Answer:

Area = 78.54 sq. ft.  (25π)

Circumference = 31.42 ft.  (10π)

Step-by-step explanation:

Diameter of circle d = 10 ft
Radius r = Diameter/2 = 5

Area = πr² = π x 5² = π x 25 = 78.54 sq. ft. rounded to 2 decimal places

Circumference = πd = π x 10 = 31.42 ft. rounded to 2 decimal places.

The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

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Answer:

AE = 12 in.

CE = 12 in.

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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The smallest integer is 1 and middle integer is 2 and largest integer is 3

Solution:

Given that , three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

We have to find the three consecutive integers

So, let the smallest integer be n, then the next two consecutive middle and largest integers will be n + 1, n + 2 respectively

Then, by the given statement,  

Three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

Thus the smallest integer = n = 1

Middle integer = n + 1 = 1 + 1 = 2

Largest integer = n + 2 = 1 + 2 = 3

9514 1404 393

Answer:

  (c)  -8, -6, -4, -2, ...

Step-by-step explanation:

An arithmetic sequence has sequential terms that have a common difference.

The first differences of the offered sequences are ...

  a) -4, 12, -36

  b) 6, -10, 14

  c) 2, 2, 2 . . . . . . constant, so an arithmetic sequence

  d) 2, 4, 8

__

The arithmetic sequence is -8, -6, -4, -2, ....

Therefore, the domain is (-∞, ∞) and the range is (-∞, ∞) for the given function.

In mathematics, a function is a relation between a set of inputs (called the domain) and a set of possible outputs (called the range) with the property that each input is associated with exactly one output. In other words, a function is a rule that assigns a unique output value to each input value.

Here,

To find the domain and range of the function f(x) = -1/4(x³ + 6x² + 5x - 4), we need to consider the restrictions on x and the possible values of f(x).

Domain:

Since the function involves a cubic expression in the numerator, there are no restrictions on x, and the domain of the function is all real numbers, or (-∞, ∞).

Range:

To find the range of the function, we need to consider the behavior of the cubic expression as x goes to positive infinity or negative infinity. As x becomes very large or very small, the dominant term in the expression becomes x³, and the other terms become negligible. The coefficient of x³ is negative, which means that the cubic expression approaches negative infinity as x goes to negative infinity and approaches positive infinity as x goes to positive infinity.

Therefore, as x approaches negative infinity, f(x) approaches positive infinity, and as x approaches positive infinity, f(x) approaches negative infinity. Hence, the range of the function is all real numbers, or (-∞, ∞).

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Answer:

Retail price = $75

Step-by-step explanation:

1. State the given

The price of the vacuum cleaner's wholesale; $50.

The rate of mark up that the vacuum cleaner is sold at; 50%.

This means that the vacuum cleaner's sales price is 1.5 times the price of its wholesale.

2. Form am equation and solve

Use the equation:

wholesale_price * markup = retail_price

Now use the given information

50 * 1.5 = retail price

Solve

50 * 1.5 = 75

retail price = $75

Answer:

so u see

Step-by-step explanation:

F g - x hence equals -f x. -g x. It follows from this that f g - x = f g x. Given that f and g are two odd functions, it follows that f g is an even function. As a result, f g is not an unusual function.

If the equation for every x and x in the domain of f holds, then a function f is odd. F(x)=F(x) or F(x)=F(x) An odd function has a graph that, geometrically speaking, is rotationally symmetric with respect to the origin, meaning that the graph is unaffected by a 180° rotation of the origin.

If f - x = f x, then a function f x is said to be even. These functions have symmetric properties around the y-axis.

F - x Equals F x if two functions f and g are two even functions.

g - x = g x

Now, the definition of the product function f g is as follows:

\($f g x=f x \cdot g x$\)

Analyze the fg at -x product function.

\($f g-x=f-x \cdot g-x$\)

The two functions are currently equal functions. Utilize the knowledge that f - x = f and g - x = g.

Consequently, f g - x = f x. g x It follows from this that f g - x = f g x. This suggests that f g, where f and g are two even functions, is an even function.

If f - x = -f x, then a function f x is said to be odd. These functions have symmetry at their origin.

If f and g are two odd functions, then f - x = -f x and g - x = -g x, respectively.

Now, the definition of the product function f g is as follows:

\($f g x=f x \cdot g x$\)

Evaluate the product function f g at -x

\($f g-x=f-x \cdot g-x$\)

The two functions are now peculiar functions. Utilize the knowledge that f-x = -f-x and g-x = -g-x.

F g - x hence equals -f x. -g x. It follows from this that f g - x = f g x. Given that f and g are two odd functions, it follows that f g is an even function. As a result, f g is not an unusual function.

Assume that g is odd and f is even. G - x = -g x and f - x = f x, respectively.

The following is a definition of the product function:

\(f g-x & =f-x \cdot g-x \\\)

\(& =f x \cdot-g x \\\)

\(& =-f x \cdot g x \\\)

\(& =-f g x\)

Because f is even and g is odd, f g is an odd function.

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Answer:

c

Step-by-step explanation:

Answer:

2 3/8

Step-by-step explanation:

-7 1/8 = -(7*8 + 1) / 8 = -57/8

-9 1/2 = - (9*2 + 1) / 2 = - 19/2

simplifying

= -57/8  - (-19/2)

= -57/8 + 19/2

= lcm of 2 ,8 is 8

=  (-57 + 4*19) / 8

= (-57 + 76) / 8

= 19 / 8     ------> (19 = 8*2 + 3)

= 2 3/8

The exact coordinates of points where the horizontal tangent exists are:

(0,2)

(\(\pi\),6)

(\(-\pi\),6)

What is meant by tangent?

A plane or straight line that meets a curve or curved surface at a particular place but does not cross it when extended.

Given function is f(x)=4-2secx

We can write it as

y=4-2secx

The slope of the tangent to this curve is:

\(\frac{dy}{dx} =-2secx*tanx\)

Given that the tangent is horizontal, which means that the slope is zero.

-2secx*tanx =0 when x is multiples of \(\pi\).

So we can take x=0, \(\pi\), -\(\pi\).

When x=0 ⇒ y=4-2sec0

⇒y=2

When x=π ⇒ y=4-2secπ

y=6

When x=-π⇒ y=4-2sec(-π)

y=6

Therefore the exact coordinates of points where the horizontal tangent exists are:

(0,2)

(\(\pi\),6)

(\(-\pi\),6)

The graph is attached below.

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The solution is: the numeric value of (A, B, C, D, E) from the following three formulas are: A = 4, B = 10, C = 2, D = 5, E = 6.

Here, we have,

given that,

Formula:

AC x 1E = 4CD (1)

ADE x 1EC = AB (2)

AB + E9 = 11A (3)

now, we have to find the numeric value of (A, B, C, D, E) from the following three formulas.

However, A, B, C, D, E represent numbers between 0 and 9.

given example: If F = 1, G = 2, then 3FG would be 312.

now, we have,

Let, A = 4 and E = 6

as we have,

A+C = E

B-D = D

A + E = B

so, we get, C = 6 - 4 = 2

B = 6 + 4 = 10

2D = 10 => D = 5

Hence, The solution is: the numeric value of (A, B, C, D, E) from the following three formulas are: A = 4, B = 10, C = 2, D = 5, E = 6.

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Answer:

the given 24.20 is not the discount so we have to subtract it by 100%