what is the surface area of the figure ?
A. 291 ft2
B. 582 ft2
C. 900 ft2
D. 399 ft2

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Answer:

The resulting function after the sequence of transformations is  [tex]f(x)=3(x+2)^5+1[/tex]

Step-by-step explanation:

Given a function f(x)

Remembering these points, we can apply the rules to [tex]x^5[/tex].

Hence the new function would be  [tex]3(x+2)^5+1[/tex]

Answer:

f(x) = 3(x+2)⁵+1

Step-by-step explanation:

Ap3x

Answer:

[tex]x=\frac{3}{2}[/tex]

Step-by-step explanation:

When we don't have any base with "log", we assume it to have base 10.

Using the property Log M + Log N = Log(M*N), we can write:

Log (2x-1) + Log 5 = 1

Log ((2x-1)(5)) = 1

We can turn this into exponential form using  [tex]Log_{a} b=x\\a^x=b[/tex]

Thus,

[tex]10^1=(2x-1)(5)\\10=10x-5\\10+5=10x\\15=10x\\x=\frac{15}{10}=\frac{3}{2}[/tex]

Answer:

A

Step-by-step explanation:

The base of the larger triangle is twice as large as the smaller one: 6 v 3 --> 6 : 3 --> 2 : 1.

If you’re wondering the minutes in between it would be 50 minutes from 11:50am to 12:40pm

Answer: I believe the answer would be 64w2.

Step-by-step explanation: 8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.

Hi There!

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Answer:

64w²

Step-by-step explanation:

= (8w)²

= 8w × 8w

= 64w²

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Hope This Helps :)

Answer:

B - Between 1 mle and 1.5 miles

Step-by-step explanation:

One lap around the track is .25 of a mile

Multipy times 5 and you get 1.25 miles

Answer:

b

Step-by-step explanation:

because thatch between anything

x = 3 is a solution for the equation x - 2 = 1. The solution for 7.5 - x = 2.8 is x = 4.7. Both solutions were verified by substituting back into the original equations.

Let's first determine for which equations x = 3 is a solution:

x + 7 = 4

Substitute x = 3: 3 + 7 = 10, which is not equal to 4. Hence, x = 3 is not a solution to this equation.

x - 2 = 1

Substitute x = 3: 3 - 2 = 1, which is correct. Therefore, x = 3 is a solution to this equation.

5 + x = 9

Substitute x = 3: 5 + 3 = 8, which is not equal to 9. Thus, x = 3 is not a solution to this equation.

8 - x = 11

Substitute x = 3: 8 - 3 = 5, which is not equal to 11. Therefore, x = 3 is not a solution to this equation.

The correct option is- b

Now, we solve the equation 7.5 - x = 2.8:

1. Start by isolating x:

7.5 - x = 2.8

2. Subtract 7.5 from both sides of the equation:

-x = 2.8 - 7.5

-x = -4.7

3. Multiply both sides by -1 to solve for x:

x = 4.7

The correct option is- a

Hence, the solution to the equation is x = 4.7.

Therefore x = 3 is a solution for the equation x - 2 = 1. The solution for 7.5 - x = 2.8 is x = 4.7.

Answer:

X= -7    

I LOVE LOVE LOVE LOVE EQUATIONS.

Step-by-step explanation:

ALRIGHT!

1. 6*(-x)= -6x

2. 6*(-3)= -18

3. Now right in normal 24= -6x-18

4. Now keep the variables on one side and the numbers on the other and simplify it. And when keeping the variables on one side and the numbers on the other what ever you switch you must change it's expression. So if it's + you make it -  and if it - you make it +. so 6x=-18-24= 6x=-42

5. Now simplify it. as a fraction. 6x = -42 = divide 6 on both sides now X= -7                                                      6       6

Final answer:

The distance between – 14 and – 5 on a number line is 9 units, calculated by finding the absolute value of the difference between the two numbers.

Explanation:

The distance between two points on a number line is the absolute value of the difference between those two numbers. To find the distance between – 14 and – 5, subtract the smaller number (– 14) from the larger number (– 5) and then take the absolute value:

Distance = |(– 5) – (– 14)|

Distance = |9|

Distance = 9

Therefore, the distance on the number line between – 14 and – 5 is 9 units.

Answer:

No.

Step-by-step explanation:

If they are proportional, they equal each other.

We can use a proportion.

200/40 = 242/44

Simplify.

5 = 5.5

So they are not proportional.

Answer:

Both sides are equal, true for all 'b'

Step-by-step explanation:

Add similar elements: b + 0.17b = 1.17b

1.17b = 1.17b

Multiply both sides by 100

1.17b * 100 = 1.17b * 100

Refine

117b = 177b

Subtract 117b from both sides

117b - 117b = 117b - 117b

Refine

0 = 0

Both sides are equal, true for all 'b'

- Mordancy

Answer:

You are most likely a right triangle.

Step-by-step explanation: A polygon with 5 sides is the pentagon. A square has 4 angles, so with this, I can already tell that it is a triangle if it has 3 angles, (one less than a square). Then it says that it has 1 right angle. This would make the triangle a right. I hope this helps.

Final answer:

The polygon described has 'n - 2' sides, 3 angles with one being a right angle, and the other two totaling 90 degrees.

Explanation:

The polygon described in the question has 2 fewer sides than a regular polygon. Let's call the number of sides of the polygon 'n'. So, the polygon has 'n - 2' sides.

The polygon has 1 less angle than a square, which has 4 angles. So, the polygon has 4 - 1 = 3 angles.

The polygon described in the question has 1 right angle. A right angle measures 90 degrees. Since the polygon has 3 angles, and one of them is a right angle, the other two angles must add up to 180 - 90 = 90 degrees.

Putting it all together, the polygon described in the question has 'n - 2' sides, 3 angles with one of them being a right angle, and the other two angles totaling 90 degrees.

I think it’s B) multiplicative

Answer:

x = 30 degrees

the answer would be D

Answer with Step-by-step explanation:

Jackie is selling smoothies at a school fair. She starts the day with $15 in her cash box to provide change to her customers.

Each smoothie costs $3.75, then cost of x smoothies is: $3.75x

Then, y=3.75x+15

When x=0 y=15

when x=4 y=3.75×4+15

             i.e.   y=30

The only graph which satisfies y=0 at x=0 and y=30 at x=4 is D.

Hence, the correct graph is:

D.

Answer:

247 people per square mile

Step-by-step explanation:

Population density is people per area

We need to find the area

We are given the radius

We will assume a circular area since we are given radius

A = pi r^2

A = 3.14 * 5^2

A = 3.14 *25

A = 78.5 miles ^2

19400 people

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

78.5 miles ^2

247.133758 people per square mile

Rounding to the nearest person

247 people per square mile

Answer:

3. FE

Step-by-step explanation:

ED and DC are both part of the circle, AC is the diameter, FE is the radius

Answer:50

Step-by-step explanation:each of the 10 sets have 5 coins basically (10*5) = 50

50

10sets*5coins=50total coins

Answer:

The price been reduced by a percentage of 40%

Step-by-step explanation:

we know that

$39.95 -----> represent the 100%

so

The difference of prices is equal to ($39.95-$23.97)=$15.98

Using proportion

Find the percentage of the difference

100/39.95=x/15.98

x=100*15.98/39.95

x=40%

Answer:

40% is the percentage decreased.

Hope it helped!

Thanks.

The answer is A. True

Answer:

x < 3

Step-by-step explanation:

2(4+2x)>5x+5

Distribute

8 +4x > 5x+5

Subtract 4x from each side

8 +4x-4x > 5x-4x+5

8 > x+5

Subtract 5 from each side

8-5 > x+5-5

3 > x

X must be less than 3

Final answer:

The true statement about the greatest integer function is that it is a piecewise function. The common difference of the given sequence is 3.

Explanation:

Let's break down each part of the question to provide a clear and accurate response.

Part 1: Greatest Integer Function

The statement that is true about the greatest integer function is B. The greatest integer function is classified as a piecewise function. The greatest integer function, denoted as [x], returns the greatest integer less than or equal to x. This function is indeed piecewise because it is defined in multiple pieces - for each interval of real numbers between integers, it takes a constant value equal to the lower endpoint of that interval.

Part 2: Common Difference of Sequences

To find the common difference of the sequence – 5, – 2, 1, 4, 7,  …, you subtract any term from the term that follows it. For instance, – 2 - (– 5) = 3. Therefore, the common difference is 3.

ANSWER

[tex]x = \frac{ ln(832) }{ ln(4) } [/tex]

EXPLANATION

The given equation is

[tex] {4}^{x - 3} =13.[/tex]

[tex] ln({4}^{x - 3} )= ln(13)[/tex]

We use the power rule of logarithms to get:

[tex](x - 3) ln(4) = ln(13) [/tex]

Expand;

[tex]x ln(4) - 3 ln(4) = ln(13) [/tex]

Solve for x,

[tex]x ln(4)= ln(13) + 3 ln(4) [/tex]

[tex]x ln(4)= ln(13) + ln( {4}^{3} ) [/tex]

[tex]x ln(4)= ln(13) + ln(64) [/tex]

[tex]x ln(4)= ln(13 \times 64) [/tex]

[tex]x ln(4)= ln(832) [/tex]

[tex]x = \frac{ ln(832) }{ ln(4) } [/tex]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• [tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁[tex]r^{3}[/tex] = 24 → (1)

Given a₈ = [tex]\frac{8}{27}[/tex], then

a₁[tex]r^{7}[/tex] = [tex]\frac{8}{27}[/tex] → (2)

Divide (2) by (1)

[tex]r^{4}[/tex] = [tex]\frac{\frac{8}{27} }{24}[/tex] = [tex]\frac{1}{81}[/tex]

Hence r = [tex]\sqrt[4]{\frac{1}{81} }[/tex] = [tex]\frac{1}{3}[/tex]

Substitute this value into (1)

a₁ × ([tex]\frac{1}{3}[/tex] )³ = 24

a₁ × [tex]\frac{1}{27}[/tex] = 24, hence

a₁ = 24 × 27 = 648

Answer:

P - 4

Step-by-step explanation:

there are 12 collectors donating a total of 48 paintings.

48/12=4

each collector will donate 4 paintings.

Sergio has (p) paintings now, so after he donates 4 paintings, he will have p-4 paintings in his art collection.

Sergio will have p-4 paintings in his art collection after his donation

Answer:

Final factor is (x-9)(x+4)

Step-by-step explanation:

Given expression is [tex]x^2- 5x- 36[/tex].

Now we need to factor that expression

[tex]x^2- 5x- 36[/tex]

Find two numbers whose product is -36 and sum is -5.

Two such numbers oare -9 and +4. So we get:

[tex]=x^2- 9x+4x- 36[/tex]

[tex]=x(x-9)+4(x-9)[/tex]

[tex]=(x-9)(x+4)[/tex]

Hence final factor is (x-9)(x+4)

Answer:

(x-9) (x+4)

Step-by-step explanation:

x^2- 5x- 36

What two numbers multiply to -36 and add to -5

-9*4 = -36

-9+4 = -5

(x-9) (x+4)

Answer:

[tex]P (2) =\frac{1}{7}[/tex]  Theoretical probability

Step-by-step explanation:

The theoretical probability is defined as:

[tex]P = \frac{number\ of\ desired\ results}{number\ of\ possible\ results}[/tex]

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:

number of desired results = 1

The amount of paper in the bag is equal to 7, so:

number of possible results = 7

Thus:

[tex]P (2) =\frac{1}{7}[/tex]

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.

To calculate the experimental probability we must perform the following experiment:

Take a paper out of the bag, record the number obtained and then return the paper to the bag.

Now repeat this experiment n times. (Perform n trials)

So:

[tex]P (2) = \frac{number\ of\ times\ you\ obtained\ the\ number\ 2}{number\ of\ trials\ performed}[/tex]

To calculate a theoretical probability you always need to perform an experiment with n trials.

Answer:

[tex]275\ mi[/tex]

Step-by-step explanation:

we know that

The distance on the map from Town A and Town C is equal to

3.5 cm+2 cm=5.5 cm

The scale map is equal to

[tex]\frac{2}{100}\frac{cm}{mi}[/tex]

Simplify

[tex]\frac{1}{50}\frac{cm}{mi}[/tex]

That means-----> 1 cm on a map is 50 mi on the actual

so

by proportion

[tex]\frac{1}{50}\frac{cm}{mi} =\frac{5.5}{x}\\ \\x=50*5.5\\ \\x=275\ mi[/tex]

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}-18&-33\\-42&-27\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]n\cdot\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] =\left[\begin{array}{ccc}(n)(a)&(n)(b)\\(n)(c)&(n)(d)\end{array}\right]\\\\============================\\\\3\cdot\left[\begin{array}{ccc}-6&-11\\-14&-9\end{array}\right] =\left[\begin{array}{ccc}(3)(-6)&(3)(-11)\\(3)(-14)&(3)(-9)\end{array}\right] \\\\=\left[\begin{array}{ccc}-18&-33\\-42&-27\end{array}\right][/tex]

Answer:

the answer is B !

Step-by-step explanation:

Check the picture below.

make sure your calculator is in Degree mode.

Answer:Cos M = 40/76Cos M = 10/19M = 58

degrees

Step-by-step explanation: