insert the missing number 4,9,20,8,5,14,10,3,?​

Answer:

B  y = (-7/4)x - 7

Step-by-step explanation:

Slope intercept form is

y = mx + b

Where m is the slope and b is the y-intercept

m = rise/run

m = ∆y/∆x

m = (y₂ - y₁) / (x₂ - x₁)

m = (-7 - 0) / (0 - -4)

m = -7/4

From the graph the y-intercept

b = -7

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

y = (-7/4)x - 7

Answers:

The areas from left to right are:  13 m^2, 49 m^2, 24 m^2, 14 m^2

The largest area occurs when the rectangle is a square

===========================================================

Explanation:

The area rectangle formula is base*height, or length*width, whichever you prefer.

From left to right, we have these areas:

We get the largest area (49 m^2) when the figure is a square. This happens with any problem in which we have a fixed amount of fencing and we want to max out the area. So it's not particular to this specific problem only.

Why a square? Well an informal way to think of it would be to consider that as one dimension goes up, the other goes down, and vice versa. Think of it like a see-saw. As the examples show, if one dimension is particularly large, then its area wont be as big compared to when the dimensions are closer together. It's only when all dimensions are equal is when we max the area out entirely.

I am sry but he has don wrong calculation the answer is last one 9*5=45m and its the answer.

and the noticiable thing is the larger the shape is the area increases.

Answer:

Future population in 19 years = 3,254,580 people (Approx.)

Step-by-step explanation:

Given:

Current population of city = 900,000

Growth rate of population = 7%

Number of year = 19

Find:

Future population in 19 years

Computation:

A = P[1+r]ⁿ

Future population = Current population[1+g]ⁿ

Future population in 19 years = 900,000[1+7%]¹⁹

Future population in 19 years = 900,000[1+0.07]¹⁹

Future population in 19 years = 900,000[1.07]¹⁹

Future population in 19 years = 900,000[3.6162]

Future population in 19 years = 3,254,580

Future population in 19 years = 3,254,580 people (Approx.)

Answer:

y < 3

Step-by-step explanation:

2y + 1 < 7

~Subtract 1 to both sides

2y < 6

~Divide 2 to both sides

y < 3

Best of Luck!

Answer:

2

Step-by-step explanation:

First you find what is in the parentheses

2+7 =9

9-1 = 8

Then find the exponent because on PEMDAS

2 * 2 = 4

Then divide

8 divided by 4 = 2

2 is your answer

Answer:

third option

Step-by-step explanation:

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\)

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

\(a^{\frac{m}{n} }\) = \((\sqrt[n]{a})^m\)

given

\((125x^{\frac{7}{3} }) ^{-\frac{1}{3} }\)

= \(125^{-\frac{1}{3} }\) × \(x^{-\frac{7}{9} }\)

= \(\frac{1}{125^{\frac{1}{3} } }\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{\sqrt[3]{125} }\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{5}\) × \(\frac{1}{x^{\frac{7}{9} } }\)

= \(\frac{1}{5x^{\frac{7}{9} } }\)

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

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Answer:blank 1=12 blank 2=16 blank 3= 48

Step-by-step explanation:

Answer:

Hope this helps i my have the A=1/2(9)8 part wrong

Step-by-step explanation:

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Answer:

Slope = 1

Step-by-step explanation:

(x1, y1) = (-5, -3)

(x2, y2) = (-1, 1)

(y2 - y1) / (x2 - x1) = (1 - -3) / (-1 - -5) = 4 / 4 = 1

Slope = 1

The  y-intercept of the graph of the equation is -18

An intercept is a point where the tangent to a curve or a straight line touches the x-axis or the y-axis.

Analysis:

y = 6(x-1)(x + 3)

y = 6(\(x^{2}\) + 3x -x -3)

y = 6(\(x^{2}\) +2x -3)

y = 6\(x^{2}\) +12x -18

The y-intercept of the equation occurs at x = 0

Therefore y = -18.

In conclusion, the y-intercept is -18.

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Answer: 625 steps per hour

Step-by-step explanation:

10,000/16=625

Answers:

1. -2y^3+9y-3y-16

2. 14x^3-23x^2+19x-24

Hi!

I'm really sorry but I'm not sure how to solve these equations however I have searched online and this is what it has said. I hope it is what you are looking for! I have attached screenshots of the working out above in order of each question. You may want to double check but the first two are for the first question and second two are for the second question.

Answer:

I do not know what you want, but the equation is 3x - 9

Step-by-step explanation:

Answer:

3a - 9

Step-by-step explanation:

Three times a number decreased by 9:

3a - 9

Part A:  Daniel eats 1 and 1/2 loaves of bread in one whole week.

In one weekday, Daniel eats 2 slices of bread, and there are 5 weekdays in a week (Monday to Friday). So, in a week, Daniel eats 2 x 5 = 10 slices of bread on weekdays.

On the weekends, he eats 4 slices of bread per day, and there are 2 days in a weekend (Saturday and Sunday). So, in a week, Daniel eats 4 x 2 = 8 slices of bread on weekends.

Thus, in a week, Daniel eats a total of 10 + 8 = 18 slices of bread.

As there are 12 slices in each loaf, Daniel eats 18/12 = 1.5 loaves of bread in one week.

Therefore, Daniel eats 1 and 1/2 loaves of bread in one whole week.

Part B: Daniel's estimate of needing 6 loaves of bread for the 6-week vacation is not accurate. Based on the calculation, he would need 9 loaves of bread instead.

As calculated in Part A, Daniel eats 1.5 loaves of bread in one week.

So, in 6 weeks, he would need 1.5 x 6 = 9 loaves of bread.

Therefore, Daniel's estimate of needing 6 loaves of bread for the 6-week vacation is not accurate. Based on the calculation, he would need 9 loaves of bread instead.

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It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer:

25%

Step-by-step explanation:

So you subtract the number of peak minutes Katie used last month from the number of peak minutes Katie used this month. Divide the difference by the number of peak minutes Katie used last month. Then multiply by 100 to find the percent increase. Katie used 25% more peak minutes this month than last month.

Hope i helped

Answer:

25%

Step-by-step explanation:

Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

Answer:

see below

Step-by-step explanation:

Company A f(x) = 15(7x)

Company B g(x) = 100x + 5

If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  False

f Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  True

If Marguerite rents for 1 week, it will cost her the same at either company

A = 105(1) = 105

B = 100(1) +5 = 105   True

If Marguerite rents for 1 week, it will cost her more if she rents from Company A  

A = 105(1) = 105

B = 100(1) +5 = 105    False

h(x) = 5x – 5  

h(x) = f(x) – g(x)

      =15(7x) - ( 100x + 5)

      = 105x - 100x -5

      = 5x-5   True

h(x) = 5x + 5  False

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

If Marguerite rents for 1 week, it will cost her the same at either company.

h(x) = 5x - 5.

Step-by-step explanation:

Company A: f(x) = 15(7x)

Company B: g(x) = 100x + 5

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

So, the function h(x) is the difference between Company A's rental and Company B's rental.

h(x) = (15(7x)) - (100x + 5)

= (105x) - (100x + 5)

= 105x - 100x - 5

= 5x - 5

h(x) = 5x - 5.

Let's say that Marguerite rents for 1 week. In Company A, that will cost her 15 * 7 = 105. In Company B, it will cost her 100 + 5 = 105. So, if Marguerite rents for 1 week, it will cost her the same at either company.

Let's say that Marguerite rents for 2 weeks. In Company A, that will cost her 15 * 7 * 2 = 30 * 7 = 210. In Company B, it will cost her 100 * 2 + 5 = 200 + 5 = 205. So, if Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

Hope this helps!

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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Answer:

See below (along with the attached unit circle)

Step-by-step explanation:

\(sin(30^\circ)=\frac{1}{2}\)

\(cos(30^\circ)=\frac{\sqrt{3}}{2}\)

\(tan(30^\circ)=\frac{sin(30^\circ)}{cos(30^\circ)}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)

A reminder that a point on the unit circle is \((cos\theta,sin\theta)\), so it makes sense that if \(\theta=30^\circ\), the point on the unit circle should be \((cos30^\circ,sin30^\circ)\rightarrow(\frac{\sqrt{3}}{2},\frac{1}{2})\)

The value of x in the secant intersection is 4.

If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.

Therefore, let's find the value of x using the secant intersection theorem as follows;

4(4+x + 2) = 5(5 + x - 1)

4(6 + x) = 5(4 + x)

24 + 4x = 20 + 5x

24 - 20 = 5x - 4x

x = 4

Therefore,

x = 4

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Answer:

Step-by-step explanation:

1000 g × (1 cm³)/(1.6 g) = 1000/1.6 cm³ = 625 cm³

:::::

250 g × (1 cm³)/(2.8 g) = 89.3 cm³

Answer:

x < −1

Step-by-step explanation:

-2x + 5 < 7

Answer:

15 centimeters each = the two other sides of the triangle is 30 cm.

Step-by-step explanation:

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

true

Step-by-step explanation:

Natural numbers are numbers naturally occurring in nature like 1, 2, 3, 4, 5, 6, 7, 8, 9 . . .

Whole numbers are numbers that are whole, like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . (the only difference is that there is a 0 included)

Integers include negative and positive numbers like -3, -2, -1, 0, 1, 2, 3, 4 . . .

Rational numbers are include all of the above AND anything that can be turned into a fraction, like fractions and decimals (that have an end) like 0.625, -0.5, 1, 4, 1/4, 6/15, 4.8, etc.

So in this case, yes, 0.5 is a rational number.

Answer:

true

Step-by-step explanation: