find the value of n.


22n=418

Answer:

Expression: 2x-3

Martina's height if her little brother is 28 inches: 53 inches

Step-by-step explanation:

To write the expression, first read the problem. Martina is twice as tall as her little brother, minus 3. If x represents Martina's little brother's height, the equation will be 2x-3, since she's 3 inches shorter than twice the height of her little brother.

The question says that her little brother is 28 inches tall. Since x represents Martina's little brother's height, simply plug x into our expression.

2x-3

2(28)-3

56-3

53

Therefore, if Martina's little brother was 28 inches tall, Martina would be 53 inches tall. i hope this helps! :)

This answer involves the creation of a mathematical expression based on the given information and substituting the known value to find the unknown variable. The mathematical expression is 'Martina's Height = 2 * (Brother's height) - 3 inches.' When the brother's height is 28 inches, we get Martina's height as 53 inches.

The question relates to writing and solving expressions in Mathematics. To find how tall Martina is, we need to first write down an expression depicting the statement. According to the given statement, we can write:

Martina's Height = 2 * (Brother's height) - 3 inches

If her little brother is 28 inches tall, we substitute 28 into the expression:

Martina's Height = 2 * (28) - 3 inches

This implies:

Martina's Height = 56 - 3 inches = 53 inches

Therefore, Martina is 53 inches tall if her little brother is 28 inches tall.

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Answer:

A; the rate of change is the same

Explanation:

The graph and the table appear to be the same

Answer:The rates change are equal. The graph has a greater rate change. The table has a greater rate change. So none of the above

16

absolute value is always positive

i want to say 16 or 1/16. i’m sure it’s not a negative though.

Answer:

The number of females is 288.

Step-by-step explanation:

Let the number of females be x.

5:4 = 360:x

We can write the equal ratios as a proportion.

5/4 = 360/x

Cross multiply:

5x = 360 * 4

5x = 1440

x = 288

Answer: The number of females is 288.

Answer:

288 females

Step-by-step explanation:

We can write a proportion to solve, putting males over females

males         5                  360

------------ = ------------ = -------------

females         4                  x

Using cross products

5x = 360*4

5x =1440

Divide by 5

5x/5 = 1440/5

x = 288

There are 288 females

I would assume that they want a cosine value that would give the same answer. sin(30°) is equal to 1/2

Therefore cos(×) = 1/2

x = arccos(1/2)

x=60

cos(60°)

Answer:

cos60°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°

sin30° = cos(90 - 30)° = cos60°

Answer:

the explicit formula for the geometric sequence  2,6,18,54 is [tex]a_{n}=a_{1}.r^{n-1}[/tex]

2,6,18,54

Step-by-step explanation:

In the sequence given: 2,6,18,54

The common ration is 3 because

a₁ = 2

a₂= 2*3 =6

a₃ = (2*3)*3 = 2*3^2 = 18

a₄= (2*3*3)*3 =2*3^3 = 54

Here we see for a₂ 3 has power 1, for a₃ 3 has power 2 and so on.

So, the formula will be

[tex]a_{n}=a_{1}.r^{n-1}[/tex]

Here aₙ is the no of term.

a₁ is the first term of the sequence

and r is the common ratio among the sequence.

Answer:

b(n)=2⋅3 ^n−1

B. 712.50

40hrs x $15/hr= $600

5hrs OT x time & a half pay ($22.50)= $112.50

$600 + $112.50= $712.50

Answer:

The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.

Comparing the data of wins and home runs for the 2 leagues given in the table, we can predict that;

The second league will be more likely to win a game than the first league.

This is about data comparisons and interpretation.

Now, from the 2 tables, we see 2 columns namely HR and W;

HR; This means Home Runs. This is gotten by hitting the ball in a baseball game over the outfield fence that stands in-between the foul poles and does not touch the ground first before going over the outfield fence. This means more home runs denotes more points.

W; This is the number of wins each team possesses. The more the games won, the more the points and the more chances of winning the league.

Now, from the above analysis, we have seen that More HR( Home runs) and more W(Wins) means more points and better chances of winning the league.

Comparing the two leagues, it is clear that second league has teams with more Home runs and more Wins than the first League.

In conclusion, we can say that The second league will be more likely to win a game than the first league.

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Answer:

[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]

Step-by-step explanation:

The given function is

[tex]y=\frac{\pi}{2}+\sin x[/tex]

To find the inverse of this function, we interchange x and y.

[tex]x=\frac{\pi}{2}+\sin y[/tex]

we now solve for y.

[tex]x-\frac{\pi}{2}=\sin y[/tex]

Take the sine inverse of both sides to obtain;

[tex]\sin ^{-1}(x-\frac{\pi}{2})=y[/tex]

Hence the inverse of the given function is;

[tex]f^{-1}(x)=\sin ^{-1}(x-\frac{\pi}{2})[/tex]

where [tex]\frac{\pi}{2}-1\le x\le \frac{\pi}{2}+1[/tex]

Answer:

what that guy said

Step-by-step explanation:

Answer:

C)A=-8x^2,b=6x^3,c=-23x

Step-by-step explanation:

As per vertical Method to multiply

for A

1st partial product = -4(5x^3-2x^2+2x+5), so 2nd term i.e. A is

-4 (-2x^2)= 8x^2

for B

2nd partial product= -3x(5x^3-2x^2+2x+5), so 2nd term i.e. B is

-3x(-2x^2)=6x^3

for C

Final product= sum of two partial products, C is

-8x-15x=-23x

!

Answer:

Its 19,500

Step-by-step explanation:

Answer:

Option A. $19,500

Step-by-step explanation:

A smart phone manufacturer uses 10 ounces of gold circuitry to make 5,200 smartphones.

We will solve this problem by unitary method.

In 5200 smartphones use of gold = 10 ounces

in 1 smartphone use of gold = [tex]\frac{10}{5200}[/tex] = 0.001923 ounces

In 7,800 smartphones, use of gold = 0.001923 × 7800 = 14.999 ounces rounded to 15 ounces of gold

Last month the value of 1 ounce gold is $1,300

The value of 15 ounces = 1,300 × 15 =  $19,500

The value of gold used last month is $19,500.

Answer:

[tex]|A'B'|=\sqrt{5}[/tex]

Step-by-step explanation:

The points A and B have coordinates at (0,4) and (4,2) respectively.

The distance formula can be used to find the length of AB.

[tex]|AB|=\sqrt{(4-0)^2+(2-4)^2}[/tex]

[tex]|AB|=\sqrt{(4)^2+(-2)^2}[/tex]

[tex]|AB|=\sqrt{16+4}[/tex]

[tex]|AB|=\sqrt{20}[/tex]

[tex]|AB|=2\sqrt{5}[/tex]

Since quadrilateral ABCD was enlarged with  a scale factor of [tex]\frac{1}{2}[/tex].

The length of A'B' is

[tex]\frac{1}{2}|AB|[/tex]

[tex]=\frac{1}{2}\times2\sqrt{5}[/tex]

[tex]\therefore |A'B'|=\sqrt{5}[/tex]

The quadrilateral ABCD is dilated at the center (0,0) with a scale factor of 1/2. So, after the dilation the length of A'B' is [tex]\sqrt{5}[/tex] and this can be determined by using the formula of length between two points.

Given :

Given that the quadrilateral ABCD is dilated at the center (0,0) with a scale factor of 1/2. So the points of the quadrilateral ABCD becomes:

[tex]\rm A(0,4) \to A'(0\times \dfrac{1}{2},4\times \dfrac{1}{2}) = A'(0,2)[/tex]

[tex]\rm B(4,2) \to B'(4\times \dfrac{1}{2},2\times \dfrac{1}{2}) = B'(2,1)[/tex]

[tex]\rm C(4,-4) \to C'(4\times \dfrac{1}{2},-4\times \dfrac{1}{2}) = C'(2,-2)[/tex]

[tex]\rm D(-2,-2) \to D'(-2\times \dfrac{1}{2},-2\times \dfrac{1}{2}) = D'(-1,-1)[/tex]

Now, the length of A'B' is given by:

[tex]\rm AB=\sqrt{(4-0)^2+(2-4)^2}[/tex]

[tex]\rm AB=\sqrt{4^2+(-2)^2}[/tex]

[tex]\rm AB=\sqrt{20}[/tex]

[tex]\rm AB = 2\sqrt{5}[/tex]

[tex]\rm A'B' = \dfrac{1}{2}AB[/tex]

[tex]\rm A'B' = \sqrt{5}[/tex]

Therefore, the correct option is a).

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Answer:

$7.40

Step-by-step explanation:

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use this

Answer:

1190

Step-by-step explanation:

35× 34 = 1190...._ hope it help ....have a nice day

Answer:

1190

Step-by-step explanation:

Since the dot means "X" or multiply, we multiply 35 by 34.

So 35*34 = 1190.

A way to quickly multiply 35 snd 34, is to split 34 into 2*17 and multiply the 2 by 35 first to get 70*17. Since 17*7=119, we get 70*17 to be 1190.

B. -4-1. -4-1=-5, which is the amount of you count the spaces in between.

Hope this helps!

Answer:

10

Step-by-step explanation:

If a board is 3.75 inches wide and he wants the table to be at least 36 inches wide, then we need to use the rule of three:

If a 1 board ---------------------------> 3.75 inches wide

    x             ---------------------------> 36 inches wide

x = (36 inches wide * 1 board)/3.75

x= 9.6 boards.

Like we cannot buy 9.6 boards, then we conclude that the least number of boards he can use is 10.

Step-by-step explanation:

[tex]19.\\2x^2=(2)\bold{(x)}(x)\\x=(1)\bold{(x)}\\2x^2+x=\bold{x}(2x+1)\\\\20.\\12x^5=\bold{(3)(4)(x)}(x)(x)(x)(x)\\36x=\bold{(3)(4)}(3)\bold{(x)}\\12x^5-36x=\bold{(3)(4)(x)}(x^4-3)=\bold{12x}(x^2-3)\\\\21.\\15x=(3)\bold{(5)}(x)\\5y^2=\bold{(5)}(y)(y)\\15x-5y^2=\bold{5}(3x-y^2)[/tex]

You will need 721 centimeters of paper. This is because you take 11 and multiply it by 11 because a cube is equal in the length and the height. To find the total area of wrapping paper for one side you have to find the area. 11x11=121. Then you have 6 sides of the cube so you multiply 121x6=721 inches of wrapping paper to wrap the cube

Least amount of wrapping paper you need to wrap the gift = 726 cm²

The total surface area of a cube is equal to six times the area of one side of the cube.

Given,

Side length of the cube = 11 cm

Area of one side of the cube = side²

Therefore, area of one side of the cube =  11² cm²

                                                                   = 121 cm²

Total surface area of a cube = 6 × side²

                                                = 6 × 121 cm²

                                                = 726 cm²

Hence, least amount of wrapping paper you need to wrap the gift is 729 cm².

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Answer:

The answer is 754.4 cm²

Step-by-step explanation:

a = r²π

a = (31/2)²π

a ≈ 754.4

The area of the clock face is 754.4 cm²

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the clock will be calculated as:-

a = r²π

a = (31/2)²π

a ≈ 754.4

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Answer:

k-3

Step-by-step explanation:

Eliminate the opposites

K-k+k3

= k-3

The given algebraic expression simplifies to k - 3. This means, for any value of 'k', the result would be 'k' minus 3.

The problem provided is k-k+k-3. In this case, 'k' is a variable, which is essentially an unknown number. When you subtract a variable (k) from itself, you get zero. Therefore, k - k equals zero. Adding k back again, we return to k itself. Hence, k - k + k - 3 simplifies to k - 3. That is, whatever value 'k' is, you have to subtract 3 from it to solve this equation.

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Answer:

Step-by-step explanation:

Answer: An infinite number

Multiply both sides of the equation by 12

12  [ 3/4 (24 - 16x) = - 2/3 (18x - 27) ]

3*3(24 - 16x) = - 2 * 4 (18x - 27)

9 ( 24 - 16x) = - 8(18x - 27)          

Remove the brackets.

216 - 144x = -  144x + 216

Any value for x will preserve the equality. Nice problem.

Final answer:

The equation 3/4(24-16x)=-2/3(18x-27) simplifies to an identity, implying that there are infinitely many solutions for x. Values like x=3 or x=-7 will satisfy the equation, which is a characteristic of an identity.

Explanation:

The equation in question is 3/4(24-16x)=-2/3(18x-27). To find the number of solutions, we begin by simplifying both sides and then solving for x. Let's do this step by step:

As a check, we can attempt to substitute possible values for x such as x=3 or x=-7 into the equation, and we'll find that they satisfy the equation, confirming our result.

Answer:

Step-by-step explanation:

It looks like you are using the sine law.

23/Sin(85) = x /  sin(55)     Cross multiply

23*sin(55) = x * sin(85)

23*sin(55)/sin(85) = x

None of these answers look correct. One thing you could try is

sin(85) = cos(90 - 85)

sin(85) = cos(5)

That would give you

x = sin(55)*cos(5)

If that is not among  your choices you have no answer.

Answer:

Option C

Step-by-step explanation:

Option C. Is the correct option.

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. For that reason, if we multiply the number (2^1/4)(2^1/4)(2^1/4)(2^1/4) the result will be 2^(1/4+1/4+1/4+1/4) = 2^(4/4) = 2.

Answer:y=\frac{1}{2} x-4

Step-by-step explanation:

Slope intercept form of the equation of a line is y = mx+b where m is the slope and b is the y intercept. Plugging in 1/2 for m and -4 for b gives y = 1/2x + (-4) then simplifying adding a negative means subtracting.

The equation of the line is y = (1/2)x - 4, where the slope is 1/2 and the y-intercept is -4.

Explanation:

The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the slope is 1/2 and the y-intercept is -4, so the equation of the line is y = (1/2)x - 4.

The slope of 1/2 means that for every increase of 1 on the horizontal axis, there is a corresponding increase of 1/2 on the vertical axis.

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Let the number be x.

4x - 8 =12

4x =12 +8 ( you bring the eight over to the 12, it becomes positive )

4x = 20

x = 20÷4

x = 5

The problem is a basic algebra equation. It translates to 4x - 8 = 12, which can be solved by adding 8 to both sides and then dividing by 4 to get x=5. The answer is 5.

The subject of this question is Mathematics, specifically algebra. To solve this equation, start by translating the problem into a mathematical expression. This can be done as follows: 4 times a number is represented as 4x, then decreased by eight is -8 and the equation equals twelve (12).

Therefore, the equation is 4x - 8 = 12. To solve for x, you can start by adding 8 to both sides of the equation obtaining 4x = 20. Lastly, divide both sides by 4 to find x, which gives x = 5.

Therefore, the number that meets the condition '4 times a number, decreased by 8 equals 12' is 5.

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Answer:

59 2/4

Step-by-step explanation:

Answer: 14.33 in³

Step-by-step explanation:

the volume of the box= L * W * H

V = 2 * 16/3 * 43/4 = 114.67 in³

114.67 takes up 8 servings

hence each serving will take up a volume of 114.67 in³/8 = 14.33 in³

the answer is d i think

Answer:

Final answer is [tex]a_0=-9[/tex]

Step-by-step explanation:

Given equation is [tex]5-a_0=14[/tex]

Now we need to solve the given equation 5-a_0=14 for the unknown variable  [tex]a_0[/tex] .

We can do that by isolating [tex]a_0[/tex]

To isolate a_0, let's subtract 5 from both sides

[tex]5-a_0-5=14-5[/tex]

[tex]-a_0=9[/tex]

multiply both sides by -1

[tex]-a_0(-1)=9(-1)[/tex]

[tex]a_0=-9[/tex]

Hence final answer is  [tex]a_0=-9[/tex]

Answer:

SA: 62in

Step-by-step explanation:

make it into a net and find the area of each piece

Answer:

Step-by-step explanation:

If it is Tanya and 3 friends, there are 4 people in total. If they all contributed the saem amount, you would do 75/4= 18.75 dollars each