Volume with cubes with fraction lengths​

Answer:

15. h⁻¹ (x) = 5x-6/2

16. (g.f)x = 4x^2 -2x -1

Step-by-step explanation:

15. Find Inverse of h(x) =  2x+6 /5

Let y = 2x+6/5 we need to find value of x

Multiplying both sides with 5

5y = 2x+6

Adding -6 on both sides

5y -6 = 2x

Dividing both sides by 2

5y-6/2 = x

Now replace y with x our answer will be:

h⁻¹ (x) = 5x-6/2

16. f(x) =2x-1 and g(x) = x^2 -2 find (g.f)x

(g.f)x can be written as: g(f(x))

We know f(x) = 2x-1 so, put value of f(x) into x of g(x).

Putting values we get:

(g.f)x = g(f(x))= (2x-1)^2 -2

                   = 4x^2 -2x +1 -2

                   = 4x^2 -2x -1

so, (g.f)x = 4x^2 -2x -1

Answer:

That is correct.

Step-by-step explanation:

2 times 10=20

4 times 1=4

5 times 0.1=0.5

8 times 0.01=0.08

20+4+0.5+0.08=24.58

That is correct.

Oh now I see. Yes that is correct

So this is what I got before, in the other question you asked, and the expanded form on the paper is the same thing as this. The way I wrote it is just another version, both are correct:

20.00 + 4.00 + 00.50 + 00.08

(2 x 10) + (4 x 1) + (5 x 0.1) + (8 x 0.01)

Multiply all the numbers together in each parentheses set and you'll get the same thing as the other problem I answered!

In the first set of parentheses (2 x 10) when solved is equal to 20

20.00 + 4.00 + 00.50 + 00.08

In the second set of parentheses (4 x 1) when solved is equal to 4

20.00 + 4.00 + 00.50 + 00.08

In the third set of parentheses (5 x 0.1) when solved is equal to .5

20.00 + 4.00 + 00.50 + 00.08

In the fourth set of parentheses (8 x 0.01) when solved is equal to 00.08

20.00 + 4.00 + 00.50 + 00.08

Hope this was way more helpful!

they are all the same???

Answer:

a

Step-by-step explanation:

Answer:

Options B, C, and D.

Step-by-step explanation:

The first graph is a parabola. Since it opens downwards, it means the leading coefficient is negative.

The third graph is also a parabola. Since it opens upwards, it means it has a positive leading coefficient.

The second and fourth graphs represents a polynomial with an odd degree. Since both polynomial goes rises on the left and keeps rising on the right, their leading coefficients are positive.

The correct options are:

B, C , and D

Answer: graph b and graph c and graph D

Step-by-step explanation: Just took the quiz

The answer should be 51

Check the picture below.

so the figure is really two triangles and one trapezoid.

the yellow triangle has a base of 3, height of 2.

the pink triangle has a base of 6, height of 1.

the trapezoid has a height of 6, and bases of 7 and 9.

[tex]\bf \stackrel{\textit{area of yellow triangle}}{\cfrac{1}{2}(3)(2)}+\stackrel{\textit{area of pink triangle}}{\cfrac{1}{2}(6)(1)}+\stackrel{\textit{area of trapezoid}}{\cfrac{6(7+9)}{2}} \\\\\\ 3+3+48\implies 54[/tex]

Answer:

54×8=432 1452-150=1302×.25=325.50+432.00=757.50

Step-by-step explanation:

Answer:

paraell

Step-by-step explanation:

The explicit rule for the given sequence is to add 3.5 to each previous term.

The given sequence is:

10.5, 14, 17.5, 21, 24.5, ...

The explicit rule for this sequence is that each term is obtained by adding 3.5 to the previous term. So, the nth term of the sequence can be represented by the formula:

Tn = Tn-1 + 3.5

where Tn is the nth term of the sequence and Tn-1 is the previous term.

Final answer:

The explicit rule for the sequence 10.5, 14, 17.5, 21, 24.5, ... is a_n = 7 + 3.5n.

Explanation:

The sequence given is 10.5, 14, 17.5, 21, 24.5, ... and we need to find an explicit rule for this sequence in simplified form. Observing the sequence, we see that each term is increasing by 3.5. Therefore, the common difference in this arithmetic sequence is 3.5. We can express the nth term of the sequence using the formula:

an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.

Since the first term a1 is 10.5 and d is 3.5, the rule for the nth term is:

which simplifies to an = 7 + 3.5n.

Answer:

36 I used a calculator

Step-by-step explanation:

Please give me brainliest you get point by answering questions and then once you answer 1 you can give me brainliest by clicking the crown

Answer:

36 inches of ribbon

Step-by-step explanation:

There are 12 inches in each foot of ribbon, 12 times 3 is 36. She bought 36 inches of ribbon.

Answer:   100%

Step-by-step explanation:

100 + 80 + 80+ 80 = 340  (total scores of 4 tests)

340 divided by the number of tests 4 = 85

George would need to score 100% on his next test to bring his test average from 80 to 85.

Answer:

6 x + 12

Step-by-step explanation:

Hexagon = 6 sides

1 side = x + 2

( Multiply by 6 to get 6 sides )

6 sides = 6 x + 12

The perimeter of a regular hexagon with a side length of x + 2 would be 6x + 12. This is achieved by multiplying the length of one side (x + 2) by 6 (total sides in a hexagon).

The perimeter of any regular shape is given by the sum of its sides. In a regular hexagon, all sides are equal. Therefore, if one side is x + 2, then the perimeter would be six times that side length. This is because a hexagon has six sides. So, if we multiply the length of one side (x + 2) by 6 the result will be the total perimeter. Hence, the perimeter of the regular hexagon would be 6(x + 2), which simplifies to 6x + 12.

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Using the law of tangents:

Tan(angle) = Opposite leg / Adjacent leg

Tan(30) = b / 8

Rewrite to solve for b:

b = 8 * tan(30)

The first answer is correct.

Answer:

b = 8 * Tan 30

Step-by-step explanation:

Points to remember

Trigonometric ratio

Tan θ = Opposite side/Adjacent side

From the figure we can see that a right angled triangle ABC

Bc = 8ft, <C = 90° and  <B = 30°

To find the equation of finding the b

We have,

Tan θ = Opposite side/Adjacent side

Tan 30 = AC/BC  = b/8

b = 8 * Tan 30

Answer:

circle

Step-by-step explanation:

The equation

x² + y² = r²

Represents a circle centred at the origin with radius r

x² + y² = 25 ← is in this form and

is a circle centre (0, 0) with r = 5

ANSWER

circle

EXPLANATION

The given equation is

[tex] {x}^{2} + {y}^{2} = 25[/tex]

To determine the type of conic, we analyze the coefficient and sign of the quadratic terms.

If the coefficient of the quadratic terms are equal and have the same sign,then the conic is a circle.

If the coefficient of the quadratic terms are equal and have opposite signs,then the conic is a hyperbola.

If the coefficient of the quadratic terms are not equal and have the same sign,then the conic is an ellipse.

Since the coefficients are all 1 and the signs are positive, the given conic is a circle.

Answer:

It is not likely that you will choose a person whose favorite color is red.

It is most likely that you will choose a person whose favorite color is something other than red.

Step-by-step explanation:

The probability that you choose a student who picked red as his or her favorite color is 45%, but the probability that you choose a person who picked another color is 55%.

It is not likely that you will choose a person whose favorite color is red. It is most likely that you will choose a person whose favorite color is blue. The probability that you choose a student who picked red as his or her favorite color is 10%, but the probability that you chose a person who picked another color is 90%.

To solve this problem, we need to analyze the given percentages of students who chose each color as their favorite. The percentages provided are as follows:

- Red: 10%

- Blue: 40%

- Green: 20%

- Yellow: 15%

- Purple: 10%

- Orange: 5%

The total probability of all possible outcomes must equal 100%. In this case, the sum of the percentages of all colors equals 100%, confirming that the probabilities are correctly distributed among the color choices.

Now, let's address the first part of the question: It is/is not likely that you will choose a person whose favorite color is red. Since red has the lowest percentage (10%), it is the least likely choice among all the colors. Therefore, it is not likely that you will choose a person whose favorite color is red.

Next, we determine which color is most likely to be chosen. Since blue has the highest percentage (40%), it is the most likely choice. Thus, it is most likely that you will choose a person whose favorite color is blue.

To calculate the probability of choosing a student who picked red as their favorite color, we use the given percentage for red, which is 10%. This is the probability of randomly selecting a student who prefers red.

Finally, to find the probability of choosing a person who picked any color other than red, we subtract the probability of choosing red from the total probability (100%). This gives us 100% - 10% = 90%. Therefore, the probability that you chose a person who picked another color is 90%.

In conclusion, the probability of choosing a student who likes red is 10%, and the probability of choosing a student who likes any other color is 90%. The most likely color to be chosen is blue.

Answer:

x =  2.5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = - 2 and c = 5, so

y = - 2x + 5 ← equation of line

To find the x- intercept let y = 0, that is

- 2x + 5 = 0 ( subtract 5 from both sides )

- 2x = - 5 ( divide both sides by - 2 )

x =  2.5 ← x- intercept ⇒ (2.5, 0 )

Answer:

The answer is 8.

Step-by-step explanation:

Go from left to right.

2x2x2

Take the first two numbers: 2 x 2; this equals 4.

Take that number and multiply by the next number (2): 4 x 2 = 8

Hope this helps! :)

The value of 2 x 2 x 2 using the multiplication operation gives the result 8.

The expression 2 x 2 x 2 represents the multiplication of three 2's together.

To simplify the expression, perform the multiplication operation:

= 2 x 2 x 2

= 4 x 2

= 8

Therefore, 2 x 2 x 2 is equal to 8.

In other words, multiplying three 2's together results in the value of 8.

This can be visualized as multiplying 2 by 2 to get 4 and then multiplying that result by 2 again to obtain 8.

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Answer:

Eggs and Nuts

Step-by-step explanation:

Some graham crackers contain eggs and nuts

What is AD? There is no picture...

Final answer:

The length of AD is calculated using the given formula, which is a proportion involving the length of AC and the variables a, c, and d. One must plug in the values for these variables and solve the equation to find the length of AD.

Explanation:

To find the length of AD, we use the given formula which indicates a proportional relationship between the lengths on a line segment. The formula involves variables that define the lengths of specific segments of the line, as well as the ratios between them. In this case, the formula is (Length AD) = (Length AC) × (a-d)/(a-c). Here's a step-by-step explanation:

This formula can be used to calculate the length of a line segment extending beyond the segment AC or that lies between points A and C, depending on the values of the variables involved.

Answer:

Rational

Step-by-step explanation:

1.256 is not a whole #, and it's also not an integer. An integer is basically whole #s and their opposites. The # is not irrational. 1.256 is a terminating decimal, and can be turned into a fraction. 1.256 = 1 32/125.

The number 1.256 is a rational number because it can be expressed as a ratio of two integers (1256/1000). It is not a whole number or an integer due to its decimal component.

The question is whether the number 1.256 belongs to the sets of rational numbers, whole numbers, or integers. Contrary to the student's initial thought, 1.256 is not an irrational number. Instead, it is a rational number because it can be expressed as a ratio of two integers.

Specifically, 1.256 can be written as 1256/1000, where both the numerator and denominator are integers. Therefore, this number belongs to the set of rational numbers. It is not a whole number or an integer, as both of these sets require numbers without fractional or decimal components.

ANSWER

The number who are not enrolled in either Chorus or Band is 53

EXPLANATION

The given information can be represented on a Venn diagram as shown above.

Let x represent the number of students who are not enrolled in either chorus or band.

Then

[tex]x + 14 + 10 + 23 = 100[/tex]

[tex]x + 43 = 100[/tex]

This implies that

[tex]x = 100 - 43[/tex]

[tex]x = 57[/tex]

The number who are not enrolled in either Chorus or Band is 53

Answer:

Yes it is.

Step-by-step explanation:

It is increasing by 4 each year so it would be a linear graph if you know what I mean.

27 is the best answer I can think of cause 54/2 =27 which is Elgas age

Answer:

3

Step-by-step explanation:

obtain the GCF by listing factors of both numbers

factors of 6 are : 1, 2, 3, 6

factors of 15 are : 1, 3, 5, 15

The common factors are : 1, 3

the GCF is 3

Answer:

B, f(x) = 2x + 6 since y = mx + c

Option: B is the correct answer.

The function is:

       B.        [tex]f(x)=2x+6[/tex]

By looking at the graph we observe that the three points follow a linear path.

This means that there will exist a line that passes through these three points .

The line will pass through (1,8) , (2,10) , (3,12)

Hence, the equation of line using two points (1,8) and (2,10) is:

[tex]y-8=\dfrac{10-8}{2-1}\times (x-1)\\\\i.e.\\\\y-8=\dfrac{2}{1}\times (x-1)\\\\i.e.\\\\y-8=2(x-1)\\\\i.e.\\\\y-8=2x-2\\\\i.e.\\\\y=2x-2+8\\\\i.e.\\\\y=2x+6[/tex]

Answer:

Part 1) The volume of each beam is [tex]1,858.88\ ft^{3}[/tex]

Part 2) You can fill [tex]26\ beams[/tex]

Part 3) Yes, the amount of sand left over is [tex]1,669.12\ ft^{3}[/tex]

Step-by-step explanation:

Part 1) What is the total volume of each beam?

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]h=37\ ft[/tex]

[tex]r=8/2=4\ ft[/tex] ----> the radius is half the diameter

assume

[tex]\pi=3.14[/tex]

substitute the values

[tex]V=(3.14)(4)^{2} (37)[/tex]

[tex]V=1,858.88\ ft^{3}[/tex]

Part 2) How many beams can you fill with this sand?

we know that

You are given a container with a 50,000 sq ft of sand for your beams

Note Is a 50,000 cubic foot  of sand instead of 50,000 sq ft of sand

Divide the total volume of sand by the volume of each beam to obtain the number of beams

[tex]50,000/1,858.88=26.9\ beams[/tex]

Round down

[tex]26.9=26\ beams[/tex]

Part 3) Will you have any sand left over? If so how much?

yes

[tex]50,000-26(1,858.88)=1,669.12\ ft^{3}[/tex]

My work is shown up above in first picture.

Second picture is checking my answer.

For this case we have a system of two equations with two unknowns:

[tex]3x-2y = 14\\5x + y = 32[/tex]

We multiply the second equation by 2:

[tex]3x-2y = 14\\10x + 2y = 64[/tex]

We add the equations:

[tex]13x = 78\\x = \frac {78} {13}\\x = 6[/tex]

We substitute the value of "x" in the following equation, and we clear the value of "y":

[tex]5 (6) + y = 32\\30 + y = 32\\y = 32-30\\y = 2[/tex]

So, the solution is: (6,2)

ANswer:

(6,2)

Answer:

x=22

Step-by-step explanation:

2(x+5)=3(x-4)

2x+10=3x-12

-x=-22

x=22

Step 1: Distribute the numbers outside the parentheses to each number inside the parentheses

(2 * x) + (2 * 5) = (3 * x) + (-4 * 3)

2x + 10 = 3x - 12

Step 2: Combine like terms

2x goes with 3x. To do this subtract 2x to both sides (subtraction is the opposite of addition)

(2x - 2x) + 10 = (3x - 2x) - 12

0 + 10 = x - 12

10 = x - 12

10 goes with -12. To do this add 12 to both sides (addition is the opposite of subtraction)

10 + 12 = x + (-12 + 12)

22 = x + 0

22 = x

Check:

2(22 + 5) = 3(22 - 4)

2(27) = 3(18)

54 = 54

Hope this helped!

~Just a girl in love with Shawn Mendes

•A sinusoidal function is a function in sine or in cosine •The amplitude of a graph is the distance on the y axis between the normal line and the maximum/minimum. It is given by parameter #a# in function #y = asinb(x - c) + d or y = acosb(x - c) + d# •The period of a graph is the distance on the x axis before the function repeats itself. Hope this helps you! :)

Hello There, the answer is C. 55%!

To solve, get the total (11 boys + 9 girls = 20 total students). Put the number of boys over the total, representing it as a fraction, 11/20. Now convert this t  a precent by dividing 11 by 20 and multiplying the result by 100.

11 divided by 20 = 0.55

0.55 times 100 = 55%

So, 55% is your final answer. I hope this helps and have a great day!

The percent of the class that are boys is Option(C) 55% .

It is given that a class had 11 boys and 9 girls in it.

Thus the total number of students in the class is = (11 + 9) = 20

The percent of boys is given by -

(Number of boys / Total number of students) * 100 %

⇒ Percent of boys = 11/20 * 100 %

∴  Percent of boys = 55%

Therefore, the percent of the class that are boys is Option(C) 55% .

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Answer:

445.2 square cm

Step-by-step explanation:

The surface area consists of  area of two bases and area of three leteral faces. Each lateral face is a rectangle with length of 23 cm and width of 6 cm.

The area of rectangle is

[tex]A_{rectangle}=\text{length}\times\text{width}[/tex]

So,

[tex]A_{rectangle}=23\times 6=138\ cm^2[/tex]

The area of base is given as [tex]15.6\ cm^2[/tex]

Thus, the surface area is

[tex]SA=2A_{base}+3A_{lateral\ face}\\ \\SA=2\cdot 15.6+3\cdot 138=445.2\ cm^2[/tex]