what is the solution to the equation below? 4•3^x=27.48

round your answer to 2 decimal places
A. x=1.33
B. x=2.96
C. x=2.29
D. x=1.75

Answer:

$1441.90

Step-by-step explanation:

Formula-

A = P (1 + r/n)^(nt)

A= 1250(1 + 8/1)^(1*.065)

Answer:

2102.53

Step-by-step explanation:

1250e (0.065)8

Answer:

3x+6y^3

Step-by-step explanation:

-First you add all the Xs

2x+x+x

-Then you multiply all the Ys

2y * 3y * y

* the Y has a 1 as an exponent by multiplying the Ys the exponents are added making the Y a Y^3

*the numbers are multiplied making it a 6

Together it forms 6y^3

-Ys and Xs cannot be added because they are different values so your answer would be 3x+ 6y^3

The simplification of the given algebraic expression 2x+x+x+(2y × 3y × y) is 4x + 6y³.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of 2x+x+x+(2y × 3y × y) can be done as,

2x + x + x + (2y × 3y × y)

= 4x + (2y × 3y × y)

= 4x + 6y³

Hence, the simplification of the given algebraic expression 2x+x+x+(2y × 3y × y) is 4x + 6y³.

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Answer:

144 gold bars

Step-by-step explanation:

first you fine the area gold bars take up in cubic inches by multiplying the 3, 2, and 6 to get 36

once you have the space 1 gold bar takes up you divide the total space by that the total space is 5184 so you divide 5184 by 36 to get 144

Answer:

c. 144

Step-by-step explanation:

:)

Answer:

It all depends on how long you have the bike for if you have it for only 1 hour it will be $22 dollars. If you have it for 2 hours it will be $24 dollars.

Answer:

The graph in the attached figure

Step-by-step explanation:

step 1

Find the equation of the line into point slope form

The equation of the line is equal to

[tex]y-y1=m(x-x1)[/tex]

substitute the given values

[tex]y-1=(2/3)(x+2)[/tex]

step 2

To graph the line find the intercepts

Find the y-intercept

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

[tex]y-1=(2/3)(0+2)[/tex]

[tex]y=(4/3)+1[/tex]

[tex]y=(7/3)[/tex]

The y-intercept is the point (0,7/3)

Find the x-intercept

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

[tex]0-1=(2/3)(x+2)[/tex]

[tex]-1=(2/3)x+(4/3)[/tex]

[tex](2/3)x=-(4/3)-1[/tex]

[tex](2/3)x=-(7/3)[/tex]

[tex]2x=-7[/tex]

[tex]x=-7/2[/tex]

The x-intercept is the point (-7/2,0)

step 3

Plot the intercepts to graph the line

see the attached figure

[tex]\text{Hey there!}[/tex]

[tex]-1\frac{3}{5}\div\frac{2}{3}[/tex]

[tex]-1\frac{3}{5}=-\frac{8}{5}[/tex]

[tex]\text{Problem becomes:}-\frac{8}{2}\div\frac{2}{3}[/tex]

[tex]\text{Solve that, and you will get:}\frac{-4}{5}\div{\frac{3}{1}}[/tex]

[tex]-4\times1=-4[/tex]

[tex]5\times3=15[/tex]

[tex]\rightarrow =\frac{-4}{15}[/tex]

[tex]\boxed{\boxed{\boxed{\bf{Answer:\frac{-4}{15}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

The baby

Step-by-step explanation:

If you count the baby inside the pregnant woman, then he is the youngest.

hahha funny the baby of course

Answer:

[tex]x=4, y=8[/tex]

Step-by-step explanation:

step 1

Find the value of y

we know that

In the right triangle of the figure

[tex]cos(30\°)=\frac{4\sqrt{3}}{y}[/tex]

Remember that

[tex]cos(30\°)=\frac{\sqrt{3}}{2}[/tex]

so

[tex]\frac{\sqrt{3}}{2}=\frac{4\sqrt{3}}{y}[/tex]

Simplify

[tex]y=8\ units[/tex]

step 2

Find the value of x

In the right triangle of the figure

[tex]sin(30\°)=\frac{x}{8}[/tex]

Remember that

[tex]sin(30\°)=\frac{1}{2}[/tex]

so

[tex]\frac{1}{2}=\frac{x}{8}[/tex]

[tex]x=4\ units[/tex]

Answer:

Then tan(x) = 4/3

Step-by-step explanation:

Given that we have a rectangle ABCD, we can affirm the following:

AD = BC = 4

AB = DC = 3

Now, we now that tan = Opposite Side / Adjacent Side

Then the opposite side to the angle x is AB = 4, and the adjacent side to angle x is DC = 3.

Then tan(x) = Opposite Side / Adjacent Side = 4/3 = 1,3333.

Answer: E

Step-by-step explanation:

B is correct. Hope I helped yah.

Answer:

the answer is y=  9/2  x+7

Did you mean the interception or solve for? Anyway I'll do both.

Solve for y:

[tex]

2y-9x=14\Longrightarrow 2y=14+9x \\

2y=14+9x\Longrightarrow y=\frac{14+9x}{2} \\ \boxed{y=7+\frac{9x}{2}, x\in\mathbb{R}}

[/tex]

Intercept: [tex]2y-9x=14\Longrightarrow2y=14\Longrightarrow y=7[/tex]

Subtract 4x from both sides

24 = 5x + 1 - 4x

Simplify 5x + 1 - 4x to x + 1

24 = x + 1

Subtract 1 from both sides

24 - 1 = x

Simplify 24 - 1 to 23

23 = x

Switch sides

x = 23

Answer:

Step-by-step explanation:

Subtract 4x from both sides

24 = 5x + 1 - 4x

Simplify 5x + 1 - 4x to x + 1

24 = x + 1

Subtract 1 from both sides

24 - 1 = x

Simplify 24 - 1 to 23

23 = x

Switch sides

x = 23

Answer:

All 4 four angles of the rectangle are 90°

Answer:

Opposite sides of a rectangle are the same length (congruent). The angles of a rectangle are all congruent (the same size and measure.) Remember that a 90 degree angle is called a "right angle." So, a rectangle has four right angles.

four- 90 degrees

14,  she will be 14 when she has more

Answer:

sebastian will be 14 when he gets more money than lorena

Answer:

V1 / T1 = V2 / T2

0.67 / (273 + 89) = 1.12 / (273 + t )

t = 332 °C

Given values:

Volume,

Temperature,

We know the relation,

→ [tex]\frac{V_1}{T_1} = \frac{V_2}{T_2}[/tex]

By substituting the values, we get

→ [tex]\frac{0.67}{362} = \frac{1.12}{T_2}[/tex]

→   [tex]T_2 = \frac{1.12\times 362}{0.67}[/tex]

          [tex]= 332^{\circ} C[/tex]

Thus the answer above is right.

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Answer: 121.5 pi in^3 or 381.7 in^3

Step-by-step explanation:

Volume of a cylinder = pi r^2(h)

Radius = 4.5 in, Height = 6 in

pi (4.5)^2(6)

pi(20.25)(6)

121.5 pi in^3 or 381.7 in^3

The exact volume of a cylindrical cake with a diameter of 9 inches and a height of 6 inches is 121.5π cubic inches.

The volume of a cylinder can be found using the formula V = πr^2h, where V stands for volume, r is the radius of the base of the cylinder, and h is the height of the cylinder. Given the diameter of the cake is 9 inches, the radius is half of that, which is 4.5 inches. Therefore, the exact volume of the cake is calculated as follows:

V = π × (4.5 )² ×2 × 6

Which simplifies to:

V = π × 20.25 ×2 × 6

So, the exact volume of the cake is:

V = 121.5π  in^3

Hope this helps 1/2x(27)z

Answer:

The correct answer is B. 0.0000135

Step-by-step explanation:

I just did the assignment :D

have a nice day <33

Answer:

343 in^3

Step-by-step explanation:

The volume of a cube is found by V = s^3. Here s = 7. So the volume is 7*7*7 = 343 in^3.

Final answer:

The volume of a cube with an edge length of 7 inches is 343 cubic inches.

Explanation:

The volume of a cube is calculated by multiplying the length, width, and height of the cube. Since all sides of a cube are equal, we simply need to cube the length of one side.

In this case, the edge (length, width, and height) of the cube is 7 inches.

The volume of a cube with an edge length of 7 inches can be calculated as follows:

Therefore, the volume of the cube is 343 cubic inches.

Answer:

No

Step-by-step explanation:

No it is not the correct answer.

Answer:

B

Step-by-step explanation:

First, we have to isolate the t, or keep it by itself, to solve. To do that, we need to move everything with t in it to on side.

-5 - 2t + 2t = 3t + 2t

The -2t and + 2t cross out, leaving us with t on one side, which is exactly what we want!

-5 = 5t

But t isn't alone yet. We need to get rid of its five. To do that, we need to use the same process: use the opposite symbol. In 5t, 5 is being multiplied by t. To get rid of, we need to divide 5. BUT the mega rule in algebra... what you do to one side you must do to the other, or else the equation would not be true anymore, so...

-5/5 = 5t/5

-1 = t

There's your answer! Hope this helps!

57-12= 3x+12-12

45=3x

Divide by 3

x=15

Check answer

57= 3(15)+12

57=57

Answer is correct.

x= 15

Answer:

Derek:

Mean:1929

Median: 1930

range: 54

IQR: 48

MAD: 23.75

Paul:

Mean: 1929

Median: 1929.5

range: 15

IQR: 6

MAD: 3.5

Step-by-step explanation:

For the Derek's collection:

1.  Mean =  1930.375

2. Median =  1930

For the Paul's collection:

1.  Mean = 1929.75

2. Median = 1931

For Derek's collection:

Mean:

Add up all the numbers and divide by the total number of numbers:

Mean = (1950 + 1952 + 1908 + 1902 + 1955 + 1954 + 1901 + 1910) / 8

          = 1930.375

Median:

The median is the middle value of the set, so we first need to put the numbers in order:

1901, 1902, 1908, 1910, 1950, 1952, 1954, 1955

The median is the average of the middle two numbers, which are 1910 and 1950:

Median = (1910 + 1950) / 2

             = 1930

For Paul's collection:

Mean:

Add up all the numbers and divide by the total number of numbers:

Mean = (1929 + 1935 + 1928 + 1930 + 1925 + 1932 + 1933 + 1920) / 8

          = 1929.75

Median:

The median is the middle value of the set, so we first need to put the numbers in order:

1920, 1925, 1928, 1929, 1930, 1932, 1933, 1935

The median is the average of the middle two numbers, which are 1930 and 1932:

Median = (1930 + 1932) / 2

            = 1931

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Answer:

log (y)+ 8 log (z)

Step-by-step explanation:

use the rules of logarithm

The expanded form of the given function is log (x)+ 8 log (y).

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Given;

[tex]log(xy^8)[/tex]

use the rules of the logarithm;

log (x)+ 8 log (y)

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Answer:

The best possible answer for this would be: D. Mode.

This is because mode measures how many times each number appears.

Answer:

mine said c is the correct answer

Step-by-step explanation:

D. Y= - 4/3 x Rise over run

The equation of the line is:

  C.     [tex]y=\dfrac{-3}{4}x[/tex]

The line passes through the point (0,0) and (4,-3).

By using the two point formula to find the equation of the line.

i.e. any line passing through two points (a,b) and (c,d) is calculated by using the formula:

[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex]

Here (a,b)=(0,0) and (c,d)=(4,-3)

Hence, the equation of line is calculated as follows:

[tex]y-0=\dfrac{-3-0}{4-0}\times (x-0)\\\\i.e.\\\\y=\dfrac{-3}{4}\times x\\\\i.e.\\\\y=\dfrac{-3}{4}x[/tex]

Hence, the correct answer is:  Option: C

Answer:

(1), (3)

Step-by-step explanation:

5.  If m starts at 1, a geometric series has the form a₁ (r)ᵐ⁻¹.

If m starts at 0, a geometric series has the form a₀ (r)ᵐ.

Here, m starts at 0.  The first term, a₀, is 150.  The temperature is decreasing, so we're looking for an r < 1.  Therefore, the answer must be (1) 150 (0.85)ᵐ.

7.  A quadratic written in vertex form is:

y = a(x - h)² + k

We can find the vertex of the parabola using x = -b/(2a).

x = -12 / (2*3)

x = -2

f(-2) = 3(-2)² + 12(-2) + 11

f(-2) = -1

So the vertex (h, k) is at (-2, -1).

Therefore, the answer must be f(x) = 3(x + 2)² - 1

We can also show this by completing the square.

f(x) = 3x² + 12x + 11

f(x) = 3(x² + 4x) + 11

f(x) = 3(x² + 4x + 4) - 3(4) + 11

f(x) = 3(x + 2)² - 1

Answer:

The numbers are 44 and 46

Step-by-step explanation:

Let

x, x+2 ----> the two consecutive positive even integers

we know that

[tex](x+x+2)^{2} =4,048+x^{2} +(x+2)^{2} \\ \\(2x+2)^{2} =4,048+x^{2} +x^{2}+4x+4\\ \\4x^{2}+8x+4=2x^{2}+4x+4,052\\ \\2x^{2} +4x-4,048=0[/tex]

Solve the quadratic equation using a graphing calculator

The solution is x=44

see the attached figure

[tex]x+2=44+2=46[/tex]

therefore

The numbers are 44 and 46

Answer:

The correct option is C) n= 11.

Step-by-step explanation:

Consider the provided equation.

[tex]n+1=4(n-8)[/tex]

Open the parentheses and apply the distributive property as shown:

Distributive property [tex]a(b+c)=ab+ac[/tex]

[tex]n+1=4n-32[/tex]

Now, isolate the variables by adding 32 and subtracting n on both the sides.

[tex]n+1-n+32=4n-32-n+32[/tex]

[tex]33=3n[/tex]

Now divide both the sides by 3.

[tex]\frac{33}{3}=\frac{3n}{3}[/tex]

[tex]11=n[/tex]

Hence the value of n is 11

Thus, the correct option is C) n= 11.

Answer: n=11 just took in on Engenuity

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2%= 0.2

0.2*5= 1

When finding Percent of whole multiply.

To figure this out you must do a proportion. Typically you would do [tex]\frac{part}{whole}[/tex]

This means that you would set up your proportions like this:

[tex]\frac{x}{50} =\frac{2}{100}[/tex]

^^^you want to find 2% of 50, so 50 is the "whole" and x (what you are looking for) is the part. The reason there is the 100 is because % are always taken out of 100% , and therefore 100 is the "whole". 2 is on top of 100 because it is a "part" of 100

the next step is cross multiplication so you would get:

100x= (50*2) ---> 100x = 100

^^^you then solve this like a normal algebra equation to get x = 1

Hope this helped! Let me know if there is anything else I can do!