find the mean of the following data:153,140,148,150,142,146,147​

Answer:

Eq.

y = -6(x-3.7)^2 + 82.14

the value t = 3.7 represents the maximum amplitude of the rocket in-flight.

Step-by-step explanation:

The standard equation of the parabola is written as

ax^2 +bx +c = 0

But we can rewrite it in vertex form. (See attached picture.)

y = a(x-h)^2 + k

If we look at the question, we can see that the vertex is

(h,k) = (3.7 , 82.14)

y = -6(x-3.7)^2 + 82.14

the value t = 3.7 represents the maximum amplitude of the rocket in-flight.

Answer:

t = 3.7 represents the time at which the rocket will reach at the maximum height.

Step-by-step explanation:

In the diagram,

We have a downward parabola having vertex (3.7, 82.14),

Since, a downward parabola is maximum at its vertex,

That is, the maximum value of the graph is 82.14 at 3.7,

Here, the graph shows the path of a rocket,

That is, it shows the distance covered by the rocket in different time,

Hence, the maximum distance covered is 82.14 unit at 3.7 time.

Answer:

A. 0.80

Step-by-step explanation:

First, you need to find the mean of the cost of Sara's lunches the first week. The mean is the 'average,' and to find the average, add all of your terms and divide by the amount of terms.

[tex]11.52+6.48+5.99+14+9.5\\18+5.99+14+9.5\\23.99+14+9.5\\37.99+9.5\\47.49[/tex]

Sarah's total cost for the first week was $47.49. Divide by your number of terms (5) for your average daily cost.

[tex]\frac{47.49}{5} =9.498[/tex]

This can be rounded to $9.50.

For the next week, Sara spent $4 more in total than the first week. So, add $4 to your total.

[tex]47.49+4=51.49[/tex]

Now, divide $51.49 by your number of terms (5) again to find your average for the second week.

[tex]\frac{51.49}{5} =10.298[/tex]

This can be rounded to $10.30.

Find the difference.

[tex]10.30-9.50=0.80[/tex]

Sara spent $0.80 more on average.

Answer:

The graph of g(x) = ㏑x translated 3 units to the right and then reflected

about the y-axis and then translated 2 units down to form the graph of

f(x) = ㏑(3 - x) - 2

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* lets solve the problem

∵ Graph of g(x) = ㏑x is transformed into graph of f(x) = ㏑(3 - x) - 2

- ㏑x becomes ㏑(3 - x)

∵ ㏑(3 - x) = ㏑(-x + 3)

- Take (-) as a common factor

∴ ㏑(-x + 3) = ㏑[-(x - 3)]

∵ x changed to x - 3

∴ The function g(x) translated 3 units to the right

∵ There is (-) out the bracket (x - 3) that means we change the sign

  of x then we will reflect the function about the y-axis

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis

∵ g(x) changed to f(x) = ㏑(3 - x) - 2

∵ We subtract 2 from g(x) after horizontal translation and reflection

  about y-axis

∴ We translate g(x) 2 units down

∴ g(x) translated 3 units to the right and then reflected about the

   y-axis and then translated 2 units down

* The graph of g(x) = ㏑x translated 3 units to the right and then

  reflected about the y-axis and then translated 2 units down to

  form the graph of f(x) = ㏑(3 - x) - 2

Answer:

c edge

Step-by-step explanation:

The expression 9 / 3[(18 - 6) - 22] evaluates to -0.3, following the order of operations: first compute the parentheses, then multiply, and finally divide.

To evaluate the expression 9 / 3[(18 - 6) - 22], we need to follow the correct order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's solve it step-by-step:

Next, multiply by 3. Since there are no explicit parentheses around the 3 and the expression, we interpret it as 3 times the result from step 1, 3 * (-10), which equals -30.

Finally, divide 9 by the result from step 2, 9 / -30. That gives us -0.3.

The final answer, after doing the calculations in the correct order, is -0.3.

Answer:

214....

Step-by-step explanation:

If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5​

The given expression can be written as:

4/(216)-2/3+1/(256)-3/4+2/(243)-1/5

This expression has three terms.

Notice that the exponents are negative:

We will change the division into multiplication so that the exponents will become positive;

4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5

If we multiply 6 three times it will give us 6^3=6*6*6=216

If we multiply 4 four  times it will give us 4^4=4*4*4*4=256

If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243

So we will write it as:

=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5

=4(6)^2+(4)^3+2(3)

=4*36+64+6

=144+64+6

=214

The answer is 214....

Answer:

h=x+1/x^3+4x^2

Step-by-step explanation:

hx^3+4hx^2=x+1

h^3+4x^2)=x+1

h(x^3+4x^2)/x^3+4x^2=x+1/x^3+4^2

h=x+1/x^3+4x^2

Answer:

hambger

Step-by-step explanation:ham de be gerf hamburger

Answer:

Joshua had $25 on Monday.

Step-by-step explanation:

We are given the following information:

Money spend on each day for lunch = $3

Number of days he attend school in a week = 5

Total money spent on lunch = [tex]3\times 5 = \$15[/tex]

Money spent on Tuesday for ticket = $5

Money spent on Friday = $2

Money left on Friday = $3

Total money in the start of week =

[tex]15 + 5 + 2 + 3 = 25[/tex]

Thus, Joshua had $25 on Monday.

Answer:

we can use existing theorems to prove new theorems - true

It is true that we can use existing theorems to prove new theorems.

In geometry, new theorems are sometimes dependent on existing theorems.

This means that some new theorems would not exist, if not for the support and the existence of related existing theorems.

Hence, the statement is true

Read more about geometry at:

https://brainly.com/question/25306774

Answer:

[tex]\large\boxed{r^2=(x+5)^2+(y-4)^2}[/tex]

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have diameter endpoints.

Half the length of the diameter is the length of the radius.

The center of the diameter is the center of the circle.

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the coordinates of the given points (-8, 2) and (-2, 6):

[tex]d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}[/tex]

The radius:

[tex]r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}[/tex]

The formula of a midpoint:

[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]

Substitute:

[tex]x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4[/tex]

[tex](-5,\ 4)\to h=-5,\ k=4[/tex]

Finally:

[tex](x-(-5))^2+(y-4)^2=\left(\dfrac{\sqrt{52}}{2}\right)^2\\\\(x+5)^2+(y-4)^2=\dfrac{52}{4}\\\\(x+5)^2+(y-4)^2=13[/tex]

Answer:

the answer to your question is the fourth one listed on your multiple choice, where it shows it curving at the lowest point out of all the others , in the 4th quadrant

Answer:

[tex]\large\boxed{x=35^o}[/tex]

Step-by-step explanation:

We have the equation:

[tex]56^o+y+51^o=180^o\\\\(56^o+51^o)+y=180^o\\\\107^o+y=180^o\qquad\text{subtract}\ 107^o\ \text{from both sides}\\\\y=73^o\\\\\text{We know: the sum of the measures of the angles of the triangle}\\\text{is equal to}\ 180^o.\\\\\text{Therefore we have the equation:}\\\\x+y+72^o=180^o\qquad\text{put the value of}\ y\\\\x+73^o+72^o=180^o\\\\x+145^o=180^o\qquad\text{subtract}\ 145^o\ \text{from both sides}\\\\x=35^o[/tex]

[tex]\huge{\boxed{y=\bf{5x+11}}}[/tex]

Distribute the 5. [tex]y-1=5x+10[/tex]

Add 1 on each side. [tex]y=5x+11[/tex]

y−1=5(x+2)

Step 1: Add 1 to both sides.

y−1+1=5x+10+1

y=5x+11

Answer:

y=5x+11

Check the picture below.

well, √180 is about 13.4, and √72 is about 8.5, clearly 2*8.5 ≠ 13.4.

Answer:

g(3)=82

g(-6)=-6632

Step-by-step explanation:

To find g(3) we are going to use synthetic division for dividing the polynomial x^5-5x^3-10x+4 by x-3.

So this means 3 goes on the outside.

Also since we are missing x^4 and x^2 term, we will need to put a 0 placeholders there.

3  |  1   0    -5    0   -10     4

   |       3     9   12    36    78

   |_____________________

      1    3     4   12    26     82

So g(3)=82

To find g(-6) we will put -6 on the outside:

-6 |  1   0    -5    0       -10     4

   |       -6   36  -186    1116  -6636

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

      1    -6   31   -186    1106   -6632

So g(-6)=-6632

Answer:

probability is 50 percent

Step-by-step explanation:

total area= 30000

area of secknd ring=15000

therefore 15000/30000 times 100

equals 50 percent

Answer:

Option D.

Step-by-step explanation:

From he given information, we get

Total area of a dartboard = 30,000 mm²

The area of the second ring = 15,000 mm²

We need to find the probability of landing in that second ring.

[tex]Probability=\dfrac{\text{The area of the second ring }}{\text{Total area of a dartboard}}[/tex]

[tex]Probability=\dfrac{15000}{30000}[/tex]

[tex]Probability=0.5[/tex]

Multiply the probability by 100 to find the percentage.

[tex]Probability=0.5\times 100[/tex]

[tex]Probability=50[/tex]

Hence the correct option is D.

Answer:

The coordinates of point P are (3 , 13)

Step-by-step explanation:

* Lets explain how to solve the problem

- Point P divides the segment AB in the ratio 1 : 1

- The ratio 1 : 1 means divide the segment into two equal parts

- Then P is the mid-point of segment AB

- If (x , y) are the coordinates of the mid-point of a segments whose

 endpoints are (x1 , y1) and (x2 , y2) then;

 [tex]x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}[/tex]

∵ The coordinates of point A is (-4 , 15)

∵ The coordinates of point B is 10 , 11)

- Let point A is (x1 , y1) , point B is (x2 , y2) and point P is (x , y)

∵ x1 = -4 , x2 = 10 and y1 = 15 , y2 = 11

∴ [tex]x=\frac{-4+10}{2}=\frac{6}{2}=3[/tex]

∴ [tex]y=\frac{15+11}{2}=\frac{26}{2}=13[/tex]

∴ The coordinates of point P are (3 , 13)

Answer:

(3,13)

Step-by-step explanation:

I got it correct on founders edtell

Answer:

y = 2x + 4

Step-by-step explanation:

First, find the rate of change [slope], m = -y₁ + y₂\-x₁ + x₂. Next, you do either\or:

12 = 2(4) + b; 4 = b

8 = 2(2) + b; 4 = b

No matter which ordered pair you use, you will ALWAYS get the same answer, IF you put them in their correct places.

I am joyous to assist you anytime.

Answer:

a bouquet of 18 flowers, 12 pink and 6 blue is correct.

Step-by-step explanation:

Step 1: Find the total number of children.

Number of boys = 2

Total number of children = 3 x number of boys

Total number of children = 3 x 2 = 6

Step 2: Find the ratio of girls to boys

Number of girls = total number of children - total number of boys

Number of girls = 6 - 2 = 4

Girls : Boys

4 : 2

2 : 1

Step 3: Find the ratio of pink and blue flowers

Pink : Blue = Girls : Boys = 2 : 1

Step 4: Check the statements. The ratio of Pink : Blue should be 2 : 1.

1) a bouquet of 12 flowers, 4 pink and 8 blue. Incorrect because in this statement the ratio of pink : blue is 4 : 8 = 1 : 2 instead of 2 : 1.

2) a bouquet of 14 flowers, 8 pink and 6 blue. Incorrect because in this statement the ratio of Pink : Blue 8 : 6 = 4 : 3.

3) a bouquet of 15 flowers, 6 pink and 9 blue  Incorrect because in this statement the ratio of pink : blue is 6 : 9 = 2 : 3.

4) a bouquet of 18 flowers, 12 pink and 6 blue. This is correct because the ratio of pink : blue is 12 : 6 = 2 : 1.

!!                        

Answer:

A bouquet of 12 flowers, 4 pink and 8 blue

Step-by-step explanation:

Let

x----> the number of boys

y ---> the number of girls

z ---> the number of children

we know that

x=2 boys----> equation A

z=3x-----> z=3(2)=6 children ----> equation B

z=x+y ----> equation C

substitute the value of x and the value of z in the equation C and solve for y

6=2+y

y=6-2=4 girls

so

The ratio of girls to boys is equal to

2/4=1/2

therefore

The ratio of pink flowers to blue flowers is equal to 1/2

Let

a -----> the number of pink flowers

b -----> the number of blue flowers

so

For b=9  blue carnations -----> Find the value of a

1/2=a/b

1/2=a/9

a=4.5 pink carnations ----> It doesn't make sense (must be a integer)

For b=8  blue carnations -----> Find the value of a

1/2=a/b

1/2=a/8

a=4 pink carnations ----> It makes sense

therefore

A bouquet of 12 flowers, 4 pink and 8 blue

Answer:

5x³

Step-by-step explanation:

As discussed in one of my videos, whenever you divide, you subtract the exponents.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

Answer:

Option C. Shape

Step-by-step explanation:

How the data set rises and drops can best be summarized by the shape of the data set.

For example look at the graph attached: Just by looking at the graph you know at which points the graph increases or decreases and how fast it does. To know exact values, working with the equation/data set is better.

Answer:

C. Shape

Step-by-step explanation:

Answer:

Elisondra and her three friends add up to four people, so the spinner should have 4 equal sized sections.

Answer:

D

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

In this question, substitute the values of h and k in the expression

Given h=4 and k=6

The expression will be;

h(h+k)

4(4+6)

solve the brackets first

4+6=10

rewrite the expression as

4(10)

open the brackets by multiplication

4×10=40

Answer:

40

Step-by-step explanation:

We must substitute the values provided to us:

[tex]h=4[/tex] and [tex]k=6[/tex]

in the expression:

[tex]h(h+k)[/tex]

we get the following:

[tex]4(4+6)[/tex]

solving the sum inside the parentheses:

[tex]4(10)[/tex]

and finally solving the multiplication

[tex]4(10)=40[/tex]

the value of the expression is 40.

Answer:

C

Step-by-step explanation:

The nature of the solutions are determined by the value of the discriminant.

Given a quadratic equation in standard form ax² + bx + c = 0 : a ≠ 0

Then the discriminant is Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct solutions

• If b² - 4ac = 0 then solutions are real and equal

• If b² - 4ac < 0 then solutions are not real, 2 complex conjugate solutions

Here b² - 4ac = - 6 , hence 2 complex conjugate solutions → C

Answer:

It's the first set.

Step-by-step explanation:

X ≤ 18 or x > 22.

The first set is included in the solution.

Its not the second because 22 is not included.

Nor the third also because of the 22.

Nor the third because of the 19, 20, 21  and the 22.

A set is a mathematical model for a collection of items; it contains elements or members, which can be any mathematical object.

A compound inequality is created when two simple inequalities are combined. This article explains how to graph and solve compound equations.

Compound inequality includes number not included in selected region given in graph  hence including numbers 18,19,20,21,22

Which is option D

Hence correct option is {18,19,20,21,22}

Learn more about compound inequality

https://brainly.com/question/234674

#SPJ2

Answer:

25 bananas.

Step-by-step explanation:

The cost of one banana = 84/15 =  rs 28/5 = rs 5.60.

So the number of bananas costing rs 140

= 140 / 5.60

= 25 bananas.

Step-by-step answer:

APY (annual percentage yield) is the amount of interest in percent one would actually earn by investing a sum of money in a year.

It takes into account the interest rate expressed in any particular form, and the compounding period.

In the current market, most interest rates (for example, credit cards) are expressed in APR (Annual percentage rate) which is an underestimate of the actual amount to be paid, by NOT taking into account the compounding period, monthly (instead of annually) most of the time.  The shorter compounding period increases the APY.

Here the APR is 4.4%.  to take into account the compounding period, we divide the interest rate by 12 to give the monthly rate, 4.4%/12=0.044/12.

This rate will then be compounded 12 times to give the APY, or the future value after 12 months.

Future value = (1+0.044/12)^12 = 1.044898

Therefore the APY is 1.044898 less initial deposit, or

1.044898-1 = 0.044898, or 4.4898%, or 4.49% (rounded to 2 decimal places)

Answer:

a. 2 and 50

b. 10 and 10

Step-by-step explanation:

Let's denote the side lengths by x and y.

The area is 100 which means that x*y=100.

The only whole numbers which satisfy this are the following:

2,50

4,25

5,20

10,10

Just go through them one by one and find your answer.

The rectangle with an area of 100 square units and whole number side lengths with the largest perimeter is 50 by 2 with a perimeter of 104 units. The smallest perimeter rectangle possible for the same area is a square measuring 10 by 10, which has a perimeter of 40 units.

We are tasked with finding the dimensions of a rectangle with an area of 100 square units and whole number side lengths that will result in either the largest perimeter or the smallest perimeter.

Largest Perimeter Rectangle

To find the rectangle with the largest perimeter, we should aim for the rectangle to have the longest possible length and the shortest possible width while still maintaining an area of 100 square units. In the extreme case, this could be a rectangle with a length that approaches infinity and a width that is infinitely small, but we are limited to whole numbers. Therefore, the rectangle with the largest perimeter in this scenario would be 50 by 2, resulting in a perimeter of (50+2)*2 = 104 units.

Smallest Perimeter Rectangle

To find the rectangle with the smallest perimeter, we need to look for the most square-like dimensions, as a square has the smallest possible perimeter for a given area. For an area of 100 square units, the side lengths would be 10 by 10, so the perimeter would be 10*4 = 40 units.

In other words, what is y if x is 0.

Look on the graph, a line passes through point, [tex]A(x,y)\longrightarrow A(0,-3)[/tex]

So we can conclude that at that very point the input x was 0 and the output y was -3 therefore,

[tex]\boxed{f(-3)=0}[/tex]

Hope this helps.

r3t40

Answer:

-10 4/64, -.3125, 1/16, 10 51/80, 10 45/48

Step-by-step explanation:

negatives, the larger the number the smaller it is, opposite for positives. 10 45/48 is closer to 11 than 10 51/80

Answer: Second Option

[tex]f(x)=0.25(5.25)^x[/tex]

Step-by-step explanation:

The exponential growth functions have the following form:

[tex]f(x) = a(b)^x[/tex]

Where a is the main coefficient, b is the base and x is the exponent.

For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

Among the options given, the only function whose base is greater than 1 is the second option:

[tex]f(x)=0.25(5.25)^x[/tex]

Answer:

The correct answer option is B. [tex] f ( x ) = 0 . 2 5 ( 5 . 2 5 ) ^ x [/tex].

Step-by-step explanation:

If the numbers are positive along with the base of the exponent which must be greater than 1, then it an exponential growth function.

1. [tex]f(x)=6(0.25)^x[/tex]:

Here the numbers are positive but the base of the exponent is 0.25 which is less than 1 so it is not an exponential growth function.

2. [tex] f ( x ) = 0 . 2 5 ( 5 . 2 5 ) ^ x [/tex]:

Positive numbers with base of the exponent greater than 1, therefore it is an exponential growth function.