PLsssssssssssssss helpppppppppppppppppppp

The surface area of a rectangular prism is equal to

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

step 1

Find out the value of B

B=(5)(8)

B=40 in2

step 2

Find out the perimeter of the base P

P=2(5+8)

P=26 in

step 3

Substitute given values and calculate the surface area

H=4 in

SA=2(40)+26(4)

The capacity of the tank is 7234.56litres

Capacity refers to the amount of fluid a container can hold. It expressed in units like litres (l), millilitres (ml). Capacity is also known as volume of a substance.

The capacity of the cylindrical pipe is

V = πr²h

r = 8cm

if it takes the pipe 2m per second

then it's volume in one second is

V = 3.14 ×8 × 2× 100

V = 5024cm³/s

if it takes 24 minutes

24 minutes = 24 × 60 s

= 1440s

therefore volume of the tank = 1440 × 5024

= 7234560cm³

in litres = 7234560/1000

= 7234.56litres

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Answer:

25.5 units squared

Step-by-step explanation:

The area of a figure is 22.5 square units.

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 ×b×h.

Here, base of a triangle A = 5 units and height of a triangle A= 3 units

Now, the area of triangle A = 1/2 ×5×3

= 7.5 square units

Base of a triangle B = 10 units and height of a triangle B= 3 units

Now, the area of triangle B = 1/2 ×10×3

= 15 square units

So, total area = 7.5+15

= 22.5 square units

Therefore, the area of a figure is 22.5 square units.

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Answer:GCF of 45 and 63 is 9.

Step-by-step explanation:

factors of 45 are 1,3,5,9,15,45

factors  of 63 are 1,3,7,9,21,63

so the greatest common factor or GCF of 45 and 63 is 9

The greatest common factor of 45 and 63 is equal to 9.

To find the greatest common factor (GCF) of 45 and 63;

First List the factors of each number.

The factors of 45 are;

1, 3, 5, 9, 15, 45.

The factors of 63 are:

1, 3, 7, 9, 21, 63.

Now, Identify the common factors.

The common factors of 45 and 63 are:

1, 3, 9.

To Determine the greatest common factor.

The greatest common factor of 45 and 63 is 9.

Therefore, the GCF of 45 and 63 is 9.

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Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

                        (f-g)(x)= 3x⁵-2x⁴-x²+x-21

Step-by-step explanation:

Here we have,

Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

We know,

(f-g)(x)= f(x)-g(x)

= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)

On subtracting g(x) from f(x) we get,

(f-g)(x)= (3x⁵+6x²-5  - 2x⁴-7x²+x-16)

On simplify,

 (f-g)(x) =3x⁵-2x⁴-x²+x-21

Hence,

(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21

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Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

v

Step-by-step explanation:

Answer: the two electrolytes are the key ingredients in table salt and salt tablets

Two electrolytes, sodium and chloride, are the key ingredients in table salt and in salt tablets. These tablets have been used for many years to treat heat cramps and restore electrolytes lost through sweating

Step-by-step explanation:

The equation (x + 5)² = 34 is equivalent to the polynomial in standard form x² + 10 · x = 9.

In this problem we find a polynomial that is in standard form but not a perfect square trinomial, that is, a polynomial that is not of the form:

(a · x + b)² = a² · x² + 2 · a · b · x + b²

The standard form of a polynomial is described by:

a · x² + b · x + c = 0

Where a, b, c are real coefficients.

But can transform part of the non-perfect polynomial by completing the square, that is, finding an equivalent expression of the form:

a · (x + r)² = c

This can be done by means of algebra properties:

x² + 10 · x = 9

x² + 10 · x + 25 = 34

(x + 5)² = 34

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The statement that describes the distribution based on the given information is:

A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.

The graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.

The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.

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The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

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The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Check the picture below.

Answer:

1. step 4

2.idk

3. step 2

4.-5n = 1 --------->  n= -1/5

n + 15 = -10 -------> -25

n/5 = -1/5 ------> n = -1

n - 13 = -12 ------> n = 1

5. cant see the drop down menu or possible answers

but if an answer is the addition one thing

then the second one is the subtraction thing

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

If every square is 1/5 a square foot, and ever square foot is $15, then every 5 squares is $15. which would be 45 for the kitchen, 60 for the dining room, and 90.30.

Answer:

-1.05

Step-by-step explanation:

Answer:

math is hard

Step-by-step explanation:

Answer:

(x-80)

Step-by-step explanation:

( i accidentaly put this in the comments)

x^2-130x+4000 can be factored into (x-80)(x-50), if the width is (x-50) then the length is (x-80)

The appropriate hypotheses to test whether the explanatory variables jointly influence sales are H_0: β1 = β2 = 0 and H_A: at least one βj ≠ 0.

The test statistic is F = 8.812. At the 5% significance level, the explanatory variables jointly influence sales, since the F-test is significant.

The hypotheses to test whether the unemployment rate is negatively related to sales are H_0: β2 ≥ 0 and H_A: β2 < 0. The p-value is 0.0019. At the 1% significance level, reject H_0; the unemployment rate and sales are negatively related.

The appropriate hypotheses to test whether advertising expenditures are positively related to sales are H_0: β1 ≤ 0 and H_A: β1 > 0. The p-value is 0.0005. At the 1% significance level, reject H_0; advertising expenditures and sales are positively related.

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The triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

Obtuse triangles are triangles that has one of theor angles to greater than 90 degrees.

Most obtuse triangles has two acute angles (angles less than 90 degrees) and a obtuse angle (angles between  90 and 180 degrees)

Hence the triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

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The way in which the given ordered pairs represent a function is: b. For every x value, there is only one y value - a function.

A function simply refers to a mathematical expression (equation) which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable (x-value) to an output variable (y-value).

In this context, we can reasonably infer and logically deduce that these ordered pairs represent a function because it has different input variables (x-values) for different or the same output variables (y-values).

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Answer/Step-by-step explanation:

Part A

(x + 13) + (4x - 8) = 90

x + 13 + 4x - 8 = 90

5x + 5 = 90

     -5     -5

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

5x = 85

÷5     ÷5

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

x = 17

Part B

m∠OPQ = (x + 13)°

m∠OPQ = (17 + 13)°

m∠OPQ = 30°

m∠RPS = (4x - 8)

m∠RPS = (4(17) - 8)

m∠RPS = (68 - 8)

m∠RPS = 60°

Part C

Vertical angles equal each other. To test if they are vertical angles they would need to be equal to each other.

x + 13 = 4x - 8

-4x        -4x

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

-3x + 13 = -8

       -13     -13

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

-3x = -21

÷-3     ÷-3

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

x = 7

x + 13 = 4x - 8

(7) + 13 = 4(7) - 8

20 = 28 - 8

20 = 20

These angles equal each other; therefore, they are also vertical angles.

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I hope this helps!

Answer:

t = 0.77930

t = 1.2832

Step-by-step explanation:

Answer:

You need a photo or text to back that up, we can't solve this without an image or something that explains this problem.

Step-by-step explanation:

Answer:

The table is a quadratic function

Step-by-step explanation:

Given

The attached table

Required

Tell if it is a quadratic function

The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.

(1) Subtract adjacent y values.

\(d_1=2 - 16 = -14\)

\(d_2=-2 - 2 = -4\)

\(d_3 = 4--2 = 6\)

\(d_4 = 20 - 4 = 16\)

(2) Subtract adjacent differences in (1) above

\(d_5 = d_2 - d_1 = -4 --14 = 10\)

\(d_6 = d_3 - d_2 = 6 --4 = 10\)

\(d_7 = d_4 - d_3 = 16 -6 = 10\)

Notice the calculated differences in (2) are the same.

Hence, the table is a quadratic function