O+O+O=30

1-3 -5 -7
9 -11 -
15

Answer:

\( < 6. - 10 > \)

<6,-10>

add themmm

Answer:

3

Step-by-step explanation:

27*(3^3)^-1)

27*(9^-1)

27*\(\frac{1}{9}\) because if we have a negative exponent, we reverse the number and it becomes a fraction or vice versa. In other words, \(\frac{1}{9}\) is the reciprocal of 9.

Now we multiply and get \(3.\)

Hope it helps!

Answer:

c) 1

Step-by-step explanation:

Given expression,

→ 27 × ((3³)^-1)

Let's solve the expression,

→ 27 × ((3³)^-1)

→ 27 × (27^-1)

→ 27 × (1/27)

→ 27/27 = 1

Hence, the solution is 1.

Answer:

A sample of 595 should be obtained.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

The margin of error is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Estimate of 0.55

This means that \(\pi = 0.55\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?

This is n for which M = 0.04. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}\)

\(0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}\)

\((\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2\)

\(n = 594.2\)

Rounding up,

A sample of 595 should be obtained.

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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The linear functions that define their distances are given as follows:

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

In the context of this problem, the meaning of each parameter is:

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

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Answer:

Martin Did not make any mistakes

Answer:d

Step-by-step explanation:

Martin did not make any mistakes. Have a nice day. ;)

Answer:

225 calories

Step-by-step explanation:

1 recipe makes

12 standard sized pancakes

2 pancakes are 1/6 of the recipe

1/6 of the recipe has 150 calories

6 × 150 calories = 900 calories

The full recipe of 12 pancakes has 900 calories

1/2 recipe was made

1/2 recipe has 1/2 × 900 calories = 450 calories

1/2 recipe made 8 pancakes

4 pancakes are half of the half recipe or 1/4 recipe

1/4 × 900 calories = 225 calories

Answer:

13x – 7

Step-by-step explanation:

If "a number represents x", then:

The sum of 4 times a number and - 7, added to 9 times the number = (4x + -7) + 9x.

(4x + -7) + 9x →

(4x + 9x) + -7 →

(13x) + -7 →

(13x) – 7 →

13x – 7.

The unknown number will be equal to 4.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the sum of 4 times a number and - 7, added to 9 times the number is 45. The value of the unknown number will be calculated as below:-

The sum of 4 times a number and - 7, added to 9 times the number = (4x + -7) + 9x.

(4x + -7) + 9x = 45

(4x + 9x) + -7 = 45

(13x) + -7 = 45

(13x) – 7 = 45

13x – 7 = 45

13x = 45 + 7

13x = 52

x = 4

Therefore, the unknown number will be equal to 4.

The complete question is given below:-

The sum of 4 times a number and - 7, added to 9 times the number is 45. Calculate the value of an unknown number.

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Answer:

what's that

Step-by-step explanation:

Answer: 388.1ft2

Step-by-step explanation: 10 x 8.9

\(\huge\bold{ANSWER:}\)

\(\huge\bold{1,400} ~and~\huge\bold{361,000}\)

\(\huge\bold{SOLUTION:}\)

\(\huge\mathrm{100*14}\)

Multiply:

\(\huge\mathrm{1,400}\) (Answer)

\(\huge\mathrm{361*1,000}\)

Multiply:

\(\huge\mathrm{361,000}\)

_______________________________________

Additional Note:

\(\bigstar\) If we multiply by 100, we add 2 zeros.

Example: \(\bold{\underline{14*100=1,400}}\)

\(\bigstar\) If we multiply by 1,000, we add 3 zeros.

Example: \(\bold{\underline{361*1,000=361,000}}\)

______________________________________

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bold{-MistySparkles^**^*}\)

In the expression 4x^2-6x+12, name the constant, the degree, and name it by the number of terms in the expression​ are 2, 12 and 3 respectively.

These are expressions that are made up of terms, variables, constants, coefficients and factors.

These expressions are also well identified with the presence of arithmetic operations, such as;

From the information given, we have;

4x^2-6x+12

The degree is the highest exponent = 2

The constant value is one with any variable = 12

The number of terms = 3

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Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Answer:

x = -3

Step-by-step explanation:

10x + 4 = -26

10 x = -30

x = -3

Answer:

24

Step-by-step explanation:

We call:

A - Spanish textbook

B - Biology t.b.

C - Histoey t.b.

D - Writing t.b.

U can have:

ABCD

ABDC

ACDB

ACBD

ADBC

ADCB

BACD

BADC

BCDA

BCAD

BDAC

BDCA

etc..

U have 6 for each letter.

6×4=24

Gabriella can line up her textbooks in 24 different ways on her bookshelf.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

Gabriella has a Spanish book, a biology book,  physics book, and a health text book.

We have;

She has a total of 4 books in her book shelf.

So, the number of positions in which the books have to be put are four.

As we can see,

The books are only one in number each. So, the choices are not repeatable.

So, In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.

So, the total different ways in which she can line up her books in the bookshelf are,

= 4×3×2×1

= 24

Thus, There are 24 different ways possible.

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Please find attached the graph of the parabola, y = x² - 4·x + 4, created with MS Excel, showing the points;

A parabola is the locus of a point that moves such that its distance from a point (known as the focus) and a line (known as the directrix), are the same.

1. The quadratic function is; y = x² - 4·x + 4

The x-coordinates of the vertex of the quadratic function, f(x) = a·x² + b·x + c, can be found using the formula;

x = -b/(2·a)

The x-coordinates of the graph of the equation, y = x² - 4·x + 4, is the point;

x = -(-4)/(2 × 1) = 2

The y-value of the vertex is therefore;

y = 2² - 4 × 2 + 4 = 0

The coordinates of the vertex is therefore; (2, 0)

2. The y-intercept is the point the graph intersects the y-axis, which is the point the x-value is zero, therefore;

The coordinate of the y-value of the y-intercept is therefore;

y = 0² - 4 × 0 + 4 = 4

The y-intercept is therefore; (0, 4)

3. A point on a function can be plugging a value of the input as follows;

The point at x = 1 is; y = 1² - 4×1 + 4 = 1

Therefore, another point on the graph is; (1, 1)

4. The axis of symmetry is the vertical line passing through the vertex, with an equation which is the x-value of the vertex

The x-value of the vertex is; x = 2, therefore, the axis of symmetry is the line; x = 2

The reflection of a point (x, y) about the vertical y-axis is the point (-x, y)

Therefore, the image of the reflection of the y-intercept, (0, 4) about the line x = 2 will be the point (4, 4)

The reflection of the point (1, 1), about the line x = 2 is the point (3, 1)

The above points can be used to graph the parabola, y = x² - 4·x + 4.

Please find attached the graph of the parabola created with MS Excel.

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Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Answer: The answer would be 1

Step-by-step explanation:

Rise over run or fall over run so the fall is 10 and run is 10 and 10/10 is 1.

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

b.

Step-by-step explanation:

The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..

The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

P = PMT× ((1+r)ⁿ −1)/r

where:

P---> Future value of an annuity stream

PMT---->Dollar amount of each annuity payment

r -->Interest rate (also known as discount rate)

n--->Number of periods in which payments will be

We have given that

Present value for an Annuity = $200

compounded rate , r = 13%

but compounded quarterly, then, r = 13%/4

= 0.13/4 = 0.325

Number of years , n = 2 + 1/2 = 5/2

then change into quarterly, n = 5/2 × 4 = 10

Future value formula ,

F.V = PMT ( (1+i)ⁿ - 1)/r

=> Future value = 200((1+0.325)^10/0.325)

=> F.V = 10263.734

Hence, the future value of an annuity is $10263.734..

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Answer:

Step-by-step explanation:

Use the similarity of two triangles.

The ratio of corresponding sides is equal.

Let the height of the tree is x, then we have:

Answer:

12.68 m  (nearest hundredth)

Step-by-step explanation:

Similar Triangle Theorem

If two triangles are similar, the ratio of their corresponding sides is equal.

Smaller triangle

Larger triangle

Ratio of height to base:

\(\implies \sf height_{small}:base_{small}=height_{large}:base_{large}\)

\(\implies \sf 1.85:4.15=h:28.45\)

\(\implies \sf \dfrac{1.85}{4.15}=\dfrac{h}{28.45}\)

\(\implies \sf h= \dfrac{1.85}{4.15} \cdot 28.45\)

\(\implies \sf h=12.68\:m \:\:(nearest\:hundredth)\)

Therefore, the height of the tree to the nearest hundredth of a meter is 12.68 m.

Answer:

Explanation:

hope it will helps please heart my answer!

Answer:

3 miles.

Step-by-step explanation:

Given that Kathy walks 3/4 mile every day.

\(\frac{3}{4}mile = 1 day\)

Let's multiple it by 4.

\(\frac{3}{4} (4)\)

Find common factor of both 4 to simplify, so of course 4.

\(\frac{3}{1} (1)\)

Multiply across and the number should be 3! Hope that helped

Answer: half a pizza pie or 4/8

Step-by-step explanation:

because both pies have 8 slices and you had 3 slices of your own pie and 1 slice of your friends pie so when you had up 1/8 + 3/8 you get 4/8 or 1/2

Question:

for which would you draw a dashed boundary line and shade to the left?

a) x⩽ -4

b) x ⩾ -4

c) x < -4

d) x > -4​

solution:

The dashed line is for strict inequalities. That is: y< or y>. Then the correct answer is: c) x < -4 , because: