PLEASE ANSWER ASSAP!!! IF CORRECT WILL GIVE BRAINLY!!!!! Which one of these relationships is different than the other three? Explain how you know.

Answer:

  (i) x = 17 cm

  (ii) one end: 360 cm²; both ends: 720 cm²

  (iii) 14,400 cm³

  (iv) 4000 cm²

Step-by-step explanation:

You want the slant height, base area, volume, and total surface area of a trapezoidal prism with the base isosceles trapezoid having parallel base lengths of 32 and 16, and a height of 15. The distance between bases is 40. All units are cm.

If a center rectangle 16 cm wide and 15 cm high is cut from the base trapezoid, the remaining two triangles have a base of 8 cm and a height of 15 cm. The Pythagorean theorem can be used to find the slant height:

  x² = a² +b²

  x² = 8² +15² = 64 +225 = 289

  x = √289 = 17

The slant height, x, is 17 cm.

The area of the base trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

  A = 1/2(32 +16)(15) = 360 . . . . square cm

The area of one end surface is 360 cm²; the total area of both end surfaces is 720 cm².

The volume of the prism is the product of the base area and the length of the prism.

  V = Bh

  V = (360 cm²)(40 cm) = 14,400 cm³

The volume of the trapezoidal prism is 14,400 cm³.

The lateral surface area of the prism is the product of the perimeter of the base and the distance between bases.

  LA = Ph

  LA = (32 +16 +2·17 cm)(40 cm) = 3280 cm²

The total surface area is the sum of the lateral area and the area of the two bases:

  SA = LA +2B = (3280 cm²) + 2(360 cm²) = 4000 cm²

The total surface area of the prism is 4000 square centimeters.

__

Additional comment

It appears that the top dashed line in the figure is drawn that way in error. It appears to identify a visible edge, so we expect it to be a solid line.

Answer:  39/10          

Step-by-step explanation:

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

3.9

1

= (3.9 × 10)

(1 × 10)

= 39/10

Answer:

90x + 4

Step-by-step explanation:

This is the answer because:

1) You cannot add all the numbers because there are only two like terms, 35x and 55x

2) Since we only have two like terms, we have to add them. We will get 90x

35x + 55x = 90x

3) 4 is not a like term since there is no x next to it; therefore the answer is

90x + 4

Hope this helps!

Answer:

Step-by-step explanation:

Trust me

Answer:

B. The population is declining at a rate of 11.5%

Step-by-step explanation:

if your graph the equation you will clearly see that it is declining and if you don't know how to graph the equation then go to the demos calculator, its an app & website, super easy to use. most people would assume the answer would be one of the 88.5% just because it's in the original equation but the .885 in the equation doesn't represent the rate of change there for the answer is 11.5%.

The rate at which the volume of the snowball is changing at the instant the radius is 4 cm is -(448*pi)/15 cubic cm/minute.

The volume of a sphere is given by the formula V = 4/3 * pi * r³, where r is the radius. To find the rate at which the volume of the snowball is changing, we need to take the derivative of this formula with respect to time.

V = (4/3) * pi * (r)³

dV/dr = 4pir²

r = 21 - (21-14)/30*t (Where t = time in minutes)

dV/dt = dV/dr * dr/dt

=> dV/dt = 4pi(21 - (21-14)/30*t)² * -(21-14)/30

=> dV/dt = -4pi(21 - (21-14)/30*t)² / 30

dV/dt = -4pi(21 - (21-14)/30t)² / 30 = -4pi*(21-7)² / 30 = -4pi(14)² / 30 = -(448*pi)/15 cubic cm/minute.

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Answer:

Step-by-step explanation:

A.0.4821 ( 3 d.p)=0.482

B.0.595 (2 d.p)= 0.60

C.0.0346(3 d.p)=0.03

D.2.94999(1 d.p)=2.9

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Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

- 8.25

Explanation:

let the unknown number be represented by x.

54 + 4x = 21

(subtract 54 from both sides)

4x = - 33

(divide both sides by 4)

x = - 8.25

i hope this helps! :D

The number of periods over which interest is calculated on the loan.

We have to determine

The following formula is used to calculate the monthly payment on a personal loan.

The formula used to calculate monthly payments are as follows;

\(\rm P = PV \times \dfrac{i}{1-(i+1)^{-n}}\)

Where,

1. PV is the present value or the amount of the loan.

2. i is the interest rate per period and is calculated by dividing the yearly percent rate by 100 and by the number of periods in a year.

3. n is the total number of periods and is calculated as the product of the number of periods in a year times the number of years.

Hence, the number of periods over which interest is calculated on the loan.

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Answer: B.

Step-by-step explanation:

edge 2023

negative; The inverse function will have a slope that is the negative reciprocal of the original function.

A linear function is a function that can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept. A linear function with a negative slope will have an inverse function. The inverse function will have a slope that is the negative reciprocal of the original function. For example, if the original linear function has a slope of -2, the inverse function will have a slope of 1/2. The inverse function will also have a y-intercept that is the negative reciprocal of the original function's y-intercept. The inverse function will be of the same form, y = mx + b, but with a different m and b than the original function. The inverse function will have the same x-intercept as the original function. Knowing the slope and y-intercept of the original linear function allows us to calculate the slope and y-intercept of the inverse function.

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Therefore, the value of y at t = 0.4 is 5.To find the value of y at t = 0.4, we can use the Euler's method. Here are the steps to solve the given differential equation.

1. Given the differential equation y' + 0.2y = 0, we need to find the value of y at t = 0.4.

2. Start with the initial condition y(0) = 5. This gives us the starting point for our approximation.

3. Let's choose a step size h = 0.2. This means we will approximate the value of y at t = 0.4 using the values of y at t = 0, t = 0.2, and t = 0.4.

4. To approximate y at t = 0.2, we use the formula:
  y(0.2) = y(0) + h * (dy/dt)(0)
         = 5 + 0.2 * [y'(0) + 0.2 * y(0)]

5. Substitute the values into the formula:
  y(0.2) = 5 + 0.2 * [y'(0) + 0.2 * 5]

6. Now, let's find the value of y'(0):
  Given the differential equation, y' + 0.2y = 0, we can rearrange it to find y':
  y' = -0.2y

7. Substitute this value into the formula:
  y(0.2) = 5 + 0.2 * [-0.2 * 5 + 0.2 * 5]

8. Simplify the equation:
  y(0.2) = 5 + 0.2 * [0]
         = 5

9. Now, to find y at t = 0.4, we repeat the process using the values of y at t = 0.2 and t = 0.4:
  y(0.4) = y(0.2) + h * (dy/dt)(0.2)
         = 5 + 0.2 * [y'(0.2) + 0.2 * y(0.2)]

10. Substitute the values into the formula:
   y(0.4) = 5 + 0.2 * [(-0.2 * 5) + 0.2 * 5]

11. Simplify the equation:
   y(0.4) = 5 + 0.2 * [0]
          = 5.

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Answer:

9 stops!

Step-by-step explanation:

2 + 7 = 9

you add the two numbers to get 9

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

Answer:

we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.

then she adds 360 pennies so it's 5/8 full.

therefore, the 360 pennies = 3/8 full

because 5/8 - 2/8 = 3/8.

now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.

360 pennies/3 = 120 pennies = 1/8 full.

now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.

120 pennies x 8 = 960 pennies.

Raina's bank can hold up to 960 pennies.

The degree of f(x) is 4  and the leading coefficient is Positive. There are distinct 4 real zeros and 2 relative minimum values.

The largest power of the variables in a polynomial expression is the polynomial's degree.

The leading coefficient of a polynomial, or the number that is placed before the x with the highest exponent, is the coefficient of the term with the highest degree of the polynomial in mathematics.

The locations when a polynomial equals zero overall are known as its zeros. In simple words, we can state that a polynomial's zeros are variable values at which the polynomial equals 0.

The heights and dips of a polynomial—the locations where direction changes are its extreme values. Here the heights and dips are called relative maxima and minima.  

Here we have

a "W" shaped graph opened upwards

In general, the 'W' shaped graph will have a 4th degree.

=> Degree of the given polynomial is 4

Since the graph opened upwards the leading coefficient is positive.

The number of real zeros is determined by the quantity of x-axis cutting points, as we can see that the graph cuts the x-axis 4 times

=> Number of real zeros of polynomial = 4

The heights and dips of a polynomial

The number of height in the graph is 2

=> The relative extreme values of Polynomials = 2

Therefore,

The degree of f(x) is 4  and the leading coefficient is Positive. There are distinct 4 real zeros and 2 relative minimum values.

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Therefore , the solution of the given problem of linear equation comes out to be 550 minutes she can use her cell phone.

A linear regression model is one that conforms to the algebraic equation y=mx+b. The slope is B, and the y-intercept is m. The previous clause is usually referred to as an "mathematical equation having two variables because both y and x are unique parameters. Two variables make up bivariate linear equations. Linear equations have a variety of applications, all of which have a zero outcome. Y=mx+b, where m stands for the gradient and b for the y-intercept, is the formula for a linear equation.

Here,

Given : 55=0.1(m-500)+50

where m is the number of minute

=> 55=0.1(m-500)+50

=> 55=0.1m-50+50

=>55=0.1m-0

=>55-0=0.1

=>55=0.1

=>0.1=0.1

=>550=m

Therefore , the solution of the given problem of linear equation comes out to be 550 minutes she can use her cell phone.

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We have a formula to it, given the points  (x, y) and (xo, yo)

\(dist = \sqrt{(x-xo)^2+(y-yo)^2}\)

So,

\(dist = \sqrt{(6-2)^2+(8-5)^2}\)

\(dist = \sqrt{4^2+3^2}\)

\(dist = \sqrt{25}\)

\(dist = 5\)

Answer:

The distance between the two points is 5

Step-by-step explanation:

Answer:

it would be 9

Step-by-step explanation:

Answer: 168 inches squared

Step-by-step explanation:

- We can set up the equation as the area of rectangle + 4 * area of triangle.

-- If you're wondering why we multiply it by four, it's because the triangles are all identical, so finding the area of one triangle will apply for all four.

- To find the area of the triangle, it's 6 times 10 times 1/2, which is 30 inches.

- To find the area of the rectangle, it's 16 times 3 which is 48 inches.

48 plus 120 inches is 168 inches squared.

Answer:

Altitude: 600m

Base: 1200m

Step-by-step explanation:

The inequality to check if Carl will take taxi or Bus to home can be written as 3 + 0.5x < 10 and Carl will take bus instead of taxi.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a taxi that charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $10, otherwise he will take a bus. Carl is 15 miles from home.

We will estimate the total price it will cost Carl to take taxi. For a [x] miles distance, it will cost Carl -

C(x) = 3 + 0.5x

The inequality to check if Carl will take taxi or Bus to home can be written as -

C(x = 15) < 10

3 + 0.5 x 15 < 10

10.5 < 10

Which is false.

Hence, Carl will take bus instead of Car.

Therefore, the inequality to check if Carl will take taxi or Bus to home can be written as 3 + 0.5x < 10 and Carl will take bus instead of taxi.

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Answer:

Sample Answer

Step-by-step explanation:

Let the variable x be the number of miles. Then the problem can be modeled with the inequality 0.5x + 3 < 10,="" in="" which="">x is the number of miles. To solve, first subtract 3 from each side, then divide each side by 0.5. The solution is x < 14.="" carl="" can="" travel="" less="" than="" 14="" miles,="" but="" he="" lives="" 15="" miles="" away,="" so="" he="" will="" take="" a="" bus,="" not="" the="">

your welcome because all these others answers are wrong

Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

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In order to determine if a function is linear or exponential, you can observe the relationship between the function's input and output values.

For a linear function, the output values increase or decrease at a constant rate as the input values change. In other words, the function has a constant slope when graphed. You can check linearity by calculating the differences between consecutive output values and verifying if they remain the same. If the differences are constant, the function is linear.

On the other hand, an exponential function shows a constant ratio between the output values and the input values. This means that as the input values increase or decrease by a constant factor, the output values also increase or decrease by the same factor. You can check for exponential behavior by calculating the ratio between consecutive output values. If the ratios are constant, the function is exponential.

It is important to graph the function and analyze its behavior over a range of input values to confirm whether it is linear or exponential.

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Answer:

7/11

Step-by-step explanation:

This is the only fraction without a 1 in its numerator.

Answer:7/11

Step-by-step explanation: unit fractions have 1 unit like 1/2 1/3 1/100 but 7/11 is not have 1 numerator

The value of x for the given quadratic expression is x = 5 ± √11.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 3(x-5)²=33. The value of x will be calculated as,

3(x-5)²=33

(x - 5 )² = 11

(x - 5 )  = ±√11

x = 5 ± √11

Therefore, the value of x for the given quadratic expression is x = 5 ± √11.

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The compound inequality statement for the weight of cartons that would be inspected is 630 > X > 690

Weight of empty carton = 20 oz

Acceptable range of weight per bag of peanut :

Number of peanut bags per carton = 20 bags

Therefore,

The lower limit for weight of carton after being filled will be :

The Upper limit for weight of carton after being filled will be :

Therefore, the compound inequality for the cartons that will be inspected is : 630 > X > 690

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Answer:

The answer is 57.6

Step-by-step explanation:

just times .08 by 720