Suppose the equation is 9.99s + 7.99s + 4.6 = 53.94. Can you combine the s terms and 4.6? Explain.

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Number \: of \:terms \: in \: A.P,n = 30[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Fourth \: term ,a_4 = 11 [/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf last\:term, a_{30} = 89 [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf The \: A.P. [/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{ } [/tex][tex]\sf 23rd\: term, a_{23} [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

The nth term of A.P is determined by the formula-

[tex]\green{ \underline { \boxed{ \sf{a_n = a+(n-1)d}}}}[/tex]

where

Since ,

[tex]\sf a_4 = 11 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+(4-1) d= 11 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+3d= 11\_\_\_(1) [/tex]

[tex]\sf a_{30}= 89 [/tex]

[tex]\longrightarrow[/tex] [tex]\sf a+(30-1)d=89[/tex]

[tex]\longrightarrow[/tex][tex]\sf a+29d= 89\_\_\_(2)[/tex]

Subtracting equation (1) from equation(2)

[tex]\begin{gathered}\\\implies\quad \sf a+29d-(a+3d) = 89-11 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a+29d-a-3d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a-a+29d-3d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 26d = 78 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf d = \frac{78}{26} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf d = 3 \\\end{gathered} [/tex]

Putting the value of d in equation (1) -

[tex]\begin{gathered}\\\implies\quad \sf a+3(3) = 11 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a = 11-9 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a = 2 \\\end{gathered} [/tex]

[tex]\quad\quad\quad\sf =2+3[/tex]

[tex]\quad\quad\quad\sf =5 [/tex]

[tex]\quad\quad\quad\sf =2+6[/tex]

[tex]\quad\quad\quad\sf =8 [/tex]

[tex]\longrightarrow[/tex]Thus , The A.P is 2,5,8,. . . . . .

Now,

[tex]\begin{gathered}\\\implies\quad \sf a_n = a+(n-1)d \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23 }= 2+(23-1)\times 3 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+22 \times 3 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 2+66 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf a_{23} = 68 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Thus , 23rd term is 68.

The function of the baseball is a quadratic function

The baseball hits the ground after 7.7 seconds

The function is given as:

h(t) = -16t^2 + v0t + h0

Where:

v0 = 0 --- the initial velocity

h0 = 952 -- the height of the skyscraper

So, we have:

h(t) = -16t^2 + 952

When the baseball hits on the ground, h(t) = 0.

So, we have:

-16t^2 + 952 = 0

Collect like terms

-16t^2 =- 952

Divide both sides by -16

t^2 =59.5

Take the square root of both sides

t =7.7

Hence, the baseball hits the ground after 7.7 seconds

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Answer: 38

Step-by-step explanation: this is a 90 degree angle and 90-52= 38

Answer:

4.5 Games

Step-by-step explanation:

42 Minus 6 (shoes)= 36

36 divided by 8 (each game) would equals 4.5

Answer:

C

Step-by-step explanation:

5 negative tiles and 5 negative tiles.

The product of 2 and - 5 is shown in 'option 3' with 5 negative tiles and 5 negative tiles.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The product of 2 and - 5.

After multiply, we get;

⇒ 2 × - 5 = - 10

Thus, The correct option is,

⇒ 5 negative tiles and 5 negative tiles.

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Answer:

the interest rate should be 8% let me know if u want me to explain it

Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

[tex] {x}^{3} + (a + b) {x}^{2} - 4x + 2 \\ = {x}^{3} + 5 {x}^{2} - (2a - b)x + 2 \\ \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2} = 5 {x}^{2} \\ \implies \: a + b = 5.....(1) \\ \\ - (2a - b)x = - 4x \\ 2a - b = 4....(2) \\ \\ adding \: equations \: (1) \: and \: (2) \\ \\ 3a = 9 \\ \implies \: a = \frac{9}{3} \\ \huge \red{ \boxed{\implies \: a = 3}} \\ \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\ \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies b = 2}}[/tex]

Answer:

12h+20=M

Where H=hours babysitting and M= money made or total amount

in this case since it's only an hour the equation would be 12(1)+20=M

12*1=12 and 12+20=32 so in the one hour with homework help would give you 32=M just for one hour.

Note that the 20 never changes considering it's only the charge for helping with homework and not over an hour.

But since this only asked for an hour and never specified if it was with the homework help here's this

12h=M

Step-by-step explanation:

Hope this helped.

Answer:

c

Step-by-step explanation:

Answer:

2:29:32

Step-by-step explanation:

time = distance/speed= 162mi/65

=162/65 =2.49231

=2 hours 29 minutes 32 seconds

=02:29:32 (hh:mm:ss)

Hope this helps!

Answer: Percentage of female workers = 40%

Step-by-step explanation: No of Female workers = 80

                                             No of Male workers = 120

                                             Total No of workers = 120+80= 200

                                             percentage of female workers =80 of 200%= 40

Answer:

Regular Polygons

Step-by-step explanation:

Answer:

7/10, 7/10,000

Step-by-step explanation:

There are two digits 7.

The one to the left is in the tenths place, so its value is 7/10.

The one tot eh right is in the ten-thousandths place, so its value is 7/10,000.

Answer:

THE ONE IN THE TENTHS PLACE WOULD BE 7/10

THE ONE N THE MILLOINTHS PLACE WOULD BE 7/1,000,000

Step-by-step explanation:

Good Luck!

Answer:

8.5

Step-by-step explanation:

First we need to know the formula is BxH/2 for triangles. First we would do 68x2=136. Then we would do 136/16 which would give you 8.5! Hope this helps!

A triangle having area of 68 ft and a height of 16 ft, the length of the base for a triangle is, 8.5 ft

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

a triangle has an area of 68 ft

a height of 16 ft

the length of the base​ = ?

Area of triangle = 1/2×base×height

                    68 = 1/2×base×16

                base =  8.5 ft

Hence, the length of the base is 8.5 ft

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Answer:

B

Step-by-step explanation:

5/3x + 4 = 2/3x

5/3x - 2/3x = - 4

x= - 4

Answer:

Rational number

Step-by-step explanation:

Hope this helps

Answer:

Your answer is: A) Rational

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Step-by-step explanation:

Hope this helped : )

The value of the function [tex]\frac{f}{g} (5)[/tex] is 270.

Given functions are:

[tex]f(x) = 7+4x\\\\g(x) = \frac{1}{2x}[/tex]

[tex]\frac{f}{g} (x)[/tex] is the ratio of functions f(x) and g(x) i.e. [tex]\frac{f(x)}{g(x)}[/tex].

So, [tex]\frac{f}{g} (x) =\frac{7+4x}{\frac{1}{2x} }[/tex]

[tex]\frac{f}{g} (x) =2x(7+4x)[/tex]

[tex]\frac{f}{g} (5) =2*5(7+4*5)[/tex]

[tex]\frac{f}{g} (5) =270[/tex]

Therefore, the value of the function [tex]\frac{f}{g} (5)[/tex] is 270.

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Answer:

270

Step-by-step explanation:

edge2022

Answer:5.023E10

Step-by-step explanation:

The mole ratio of the oxygen to pentane will be 8:1

A mole ratio is ​a ratio between the amounts in moles of any two compounds involved in a chemical reaction

A chemical equation is said to be a balanced chemical equation if it has an equal number of all the constituent atoms on both sides of the reaction arrow.

The balanced chemical reaction for the combustion of pentane is as follows:

[tex]\rm C_5H_{12}+8O_2--- > 5CO_2+6H_2O[/tex]

From the above-balanced chemical equation, it is clear that 1 mol of [tex]C_5H_{12}[/tex] reacts with 8 moles  [tex]O_2[/tex] to form 5 moles of [tex]CO_2[/tex]

Thus the mole ratio of the oxygen to pentane will be 8:1

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Answer:

8:1

Step-by-step explanation:

edge

Answer:

A

Step-by-step explanation:

It is th eonly one with a asquare base and it maches the net.

Have an amazing day!

PLEASE RATE!

Option A is correct!

Answer:

x = 95 , y = 147 , z = 128

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x is an exterior angle of the triangle , then

x = 45 + 50 = 95

vertex of triangle ( with x in it ) = 180 - 95 - 52 = 180 - 147 = 33

the vertex and y are adjacent angles on a straight line and sum to 180 , then

y = 180 - 33 = 147

z is an exterior angle of the triangle , then

z = 95 + 33 = 128

Answer:

24 square metres

Step-by-step explanation:

Its basic math. You do 4 x 6 and you get the area.

Answer:

making x=0

Step-by-step explanation:

it gives you the points where the point intersects the y-axis

Answer:

A: Making x = 0

Step-by-step explanation:

The y-intercept of a function is where x is zero (i.e. [tex]f(0)[/tex])

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item 1:

Considering his ratio, we have that X = 0.73, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.73 - 1.35}{0.33}[/tex]

[tex]Z = -1.88[/tex]

His z-score was of Z = -1.88.

Item 2:

The probability is the p-value of Z = -1.88, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1.96 - 1.35}{0.33}[/tex]

[tex]Z = 1.85[/tex]

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

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Answer:

576

Step-by-step explanation:

-67+ r7