A basil plant grows about half an inch per week. When Finnegan buys the plant, it is 7
inches tall.
a. How tall is the basil plant after 1 week?

Answer:

To get the Greates Common Factor (GCF) of 39375 and 779625 we need to factor each value first and then we choose all the copies of factors and multiply them:

39375:    3 3     5 5 5 5 7  

779625:    3 3 3 3 5 5 5   7 11

GCF:    3 3     5 5 5   7  

The Greates Common Factor (GCF) is:   3 x 3 x 5 x 5 x 5 x 7 = 7875

Step-by-step explanation:

The sun is [(1.974) * (10^1)] times farther from Neptune, than Mercury, mentioned in scientific notation.

As per the question statement, there is no information provided about the actual distance of the sun from Neptune, or from Mercury. Hence, let us consider that the actual distance of the sun from Neptune is [4.5 * (10^9)] kilometers, while that from Mercury is [2.28 * (10^8)] kilometers.

We are required to calculate the number of times, which the sun is times farther from Neptune, than Mercury, and express our desired answer in proper scientific notation.

Considering that, the sun is "x" times farther from Neptune, than Mercury, we can state that,

[{2.28 * (10^8)} * x] = {4.5 * (10^9)}

or, x = [{4.5 * (10^9)}/{2.28 * (10^8)}]

or, x = [{4.5 * 10 * (10^8)}/{2.28 * (10^8)}]

or, x = [{45 * (10^8)}/{2.28 * (10^8)}]

or, x = (45/2.28)

or, x = 19.7368

or, x = 19.74

or, x = [(1.974) * (10^1)]

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Answer: 6912

Step-by-step explanation:

96x12=1,152

1,152x6=6912

Based on the information, it should be noted that the appropriate fraction for 8.33 will be 8 1/3.

It should be noted that a decimal simply means the numbers that is represented as a whole number and a fraction.

In this case, it should be noted that the 8.33 consist of a whole number as well as a fraction.

Therefore, it should be noted that 8.33 will be:

= 8 + 1/3

It should be noted that 1/3 is a repeating decimal as it will always give 0.3333...

Therefore, the appropriate fraction for 8.33 will be 8 1/3.

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An object that appears to be 4 inches on a scale illustration actually measures 32 feet.

A representation of a real thing with correct sizes that has been scaled back or blown up slightly (called the scale).

The scale is represented by the length in the drawing, a colon (":"), and then the actual length that corresponds to it.

A measurement of 150 mm on the picture would be 1500 mm on the actual horse since this drawing has a scale of "1:10," meaning that everything represented with a size of "1" would have an the actual world, a size of "1" corresponds to a size of "10."

based on the facts provided;

4 in =1/4 in 2ft

= 16*2 ft

= 32 ft

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the range of the function in the graph is:

-4 ≤ y ≤ 2

For a function y = f(x), we define the range as the set of the outputs. This is, the set of the possible values of y.

Now, remember that the values of y are on the vertical axis. So if we want to know the range, we just need to look at the vertical axis and see which ones are the allowed values.

If we look at the graph, we can see that the minimum value of y is:

y = -4

And we can see that the maximum value of y is:

y = 2

Then the range of the function in the graph is:

-4 ≤ y ≤ 2

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for the equation - 7 + 4 u = - 35, we get the value of u after solving it as - 7.

We are given the equation:

- 7 + 4 u = - 35

We need to solve the equation for u.

- 7 + 4 u = - 35

Add 7 to both the sides, we get that:

- 7 + 4 u + 7 = - 35 + 7
4 u = - 28

Divide both the sides by 4, we get that:

4 u / 4 = - 28 / 4

u = - 7

Therefore, for the equation - 7 + 4 u = - 35, we get the value of u after solving it as - 7.

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The simplest form of the expression is 4   .

We have given an expression √2 . √8 .

On multiplying , we get

√2 . √8 = √16

On simplifying , we get

√16  =  √ 4 × 4

           = 4

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The measure of angle <3 is 105 degrees

The diagram that completes the question is added as an attachment

The angle is given as

<6 = 75

From the diagram, we have

<3 + <6 = 180 degrees

The above is true by the sum of internal angles between parallel lines

So, we have

<3 + 75 = 180

Subtract 75 from both sides of the equation

So, we have

<3 + 75 - 75 = 180 - 75

Evaluate the like terms

So, we have

<3 = 105

Hence, the measure of angle <3 is 105 degrees

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The sum in scientific notation will give:

7.76*10⁶

Here we want to find the sum between the numbers (7.3*10⁶) and (4.6*10⁵).

To sum these numbers, we need to have the same exponent in the "10", then we can rewrite:

7.3*10⁶ = 73*10⁵

Now the sum will be:

73*10⁵ + 4.6*10⁵

Taking a common factor we get:

73*10⁵ + 4.6*10⁵ = (73 + 4.6)*10⁵ = 77.6*10⁵

Now we want to go back to scientific notation, so we need to move the decimal point one time to the left, we will get:

77.6*10⁵ = 7.76*10⁶

That is the outcome of the sum.

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Answer:

Step-by-step explanation:

Answer:

x=82.7

Step-by-step explanation:

3x+6-6=248

3x=248

x=82.7

In [tex]e^{2x}=12[/tex], x = 1.24, by the properties of logarithm.

Now,

In  [tex]e^{2x}=12[/tex], taking natural logarithm on both side.

=>  [tex]log_e(e^{2x})=log_e(12)[/tex]

=> 2x = 2.48 (approx)

=> x = 1.24

Hence, In [tex]e^{2x}=12[/tex], x = 1.24, by the properties of logarithm.

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Step-by-step explanation:

the range of a function is the interval or set of all valid y (function result) values.

so, what values is this function creating ?

we see that y never gets larger than -4.

but it will clearly go and go and go ... further down without any limit.

so, the range is

-infinity < y <= -4

A loan fee is an amount a consumer pays for a loan. This includes taking out a car loan, credit card, or mortgage. Common loan fees include interest rates, origination fees, service fees, late fees, etc. Gross Loan Fees are typically associated with your credit card and consist of any outstanding balance plus any other fees incurred if you carry overdue amounts to your credit card.

If you know three numbers related to your credit card account: credit card (or loan) balance, APR, and billing cycle length, you can calculate your loan fees.

Current Balanced Owned =$785

APR = 24.42%

Let’s suppose the billing cycle is 30 days, then

Finance charge = $15.76

The new balance you owe = $800.76.

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Answer:1 hour 30 minutes

Step-by-step explanation:8 kilometres are compete in an hour, plus another 4 kilometres (to make 12 total) is half of that, so adds another half an hour

The time it will take the man 1.5 hours to cover a distance of 12 km, travelling at the same speed.

Speed describes how accelerated something or somebody is moving. If you know the distance traveled and the time it took, we can calculate the average speed of an object.

The speed formula is speed = distance / time.

We are given that;

Distance = 12 km

Speed = 8 km/h

Now,

Plugging these values into the formula for time, you get:

time = 12 / 8

time = 1.5 hours

Therefore, by the given speed the answer will be 1.5 hours.

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Answer:  f(x) = | x |

Step-by-step explanation:

when transforming and translating a function, you use the form a | x - h | + k  

a= vertical shrink/stretch factor

h = horizontal movement ( right or left)  

k = vertical movement ( up or down )

So a = 1/2  h = 0 and k =2

g(x) = 1/2 | x-0 | + 2

g(x) = 1/2 | x | + 2    [which means vert shrink of 1/2 and up 2 units ]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{14}~,~\stackrel{y_1}{21})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +14}{2}~~~ ,~~~ \cfrac{ y +21}{2} \right) ~~ = ~~\stackrel{midpoint}{(41~~,~~50)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +14}{2}=41\implies x+14=82\implies \boxed{x=68} \\\\\\ \cfrac{ y +21}{2}=50\implies y+21=100\implies \boxed{y=79}[/tex]

The length of the segment when J is between H and K will be HJ = 21 and JK = 12.

From the information given, J is between H and K and we want to use the segment addition Postulate to solve for x.

It should be noted that:

HJ=4x+9,

Jk=3x+3,

HK=33

Therefore, we will equate the values. This will be:

4x + 9 + 3x + 3 = 33

7x + 12 = 33

Collect like terms

7x = 33 - 12

7x = 21

Divide

x = 21 / 7

x = 3

HJ=4x+9, = 4(3) + 9 = 21

Jk=3x+3 = 3(3) + 3 = 12

Therefore, the length of the segment when J is between H and K will be HJ = 21 and JK = 12.

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The simplified form of the expression (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) is (24)([tex]x^{5}[/tex]).

An algebraic expression (or variable expression) is a term that has been combined with operations like addition, subtraction, multiplication, and division.

To simplify an algebraic expression, we simply combine like terms. As a result, variables that are similar will be combined. The same abilities will now be combined from the similar variables.

The given expression is (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y).

As we know [tex]x^{a}[/tex] + [tex]x^{b}[/tex] = [tex]x^{a+b}[/tex]

So, (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) = (3×[tex]2^{3}[/tex])([tex]x^{2}[/tex]×[tex]x^{3}[/tex])([tex]y^{-1}[/tex]×y)

(3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) = (24)([tex]x^{5}[/tex])([tex]y^{0}[/tex])

(3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) = (24)([tex]x^{5}[/tex])

As a result, the abbreviated form of the expression (3[tex]x^{2}[/tex][tex]y^{-1}[/tex])([tex]2^3 x^{3}[/tex] y) is (24)([tex]x^{5}[/tex]).

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t = 5.48 in ln (t - 1)² = 3, by properties of logarithm.

Now,

In ln ( t -1 )² = 3, by property of logarithm ( [tex]log_b(a)^m=m(log_b(a))[/tex]),

=> 2 ( ln (t -1) ) = 3

=> ln (t - 1) = [tex]\frac{3}{2}[/tex]

=> t - 1 = [tex]e^\frac{3}{2}[/tex]

=> t = [tex]e^\frac{3}{2}[/tex] + 1 = 4.48 + 1 = 5.48

Hence, t = 5.48 in ln (t - 1)² = 3, by properties of logarithm.

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The sweets in jar B in the box with Amir will be 190 sweats.

From the information, Jar A contains 205 sweets. Jar c contains 175 sweet. Also, jar a has the most sweets and Jar c has the least of sweets.

The deets in jar B will be:

= (205 + 175) / 2

= 380 / 2

= 190

Therefore, the sweets in jar B in the box with Amir will be 190 sweats.

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Answer: 6.30

Step-by-step explanation:

The questions tests on indices. Write 27 in form of its prime factors. Apply the power rule (a^m)^(1/n)=a^(m/n). In prime factor form 27 = 3×3×3

27 = 3^3

(27^3)^(1/3) = 3^(3×1/3) = 3

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4 9/10

explanation:

1: Simplify both sides of the equation.

x+−2/5=9/2

2: Add 2/5 to both sides.

x+−2/5+2/5=9/2+2/5

x=4 9/10

Answer: 6

Step-by-step explanation:

Answer: C.

Step-by-step explanation:

The elephant can move 53.2 meters if it is charged for 1 minute.

Given,

The time that the elephant charged = 15 seconds

The distance that the elephant can travel by this charge = 13.3 meters

We have to find the distance moved by the elephant if it is charged for 1 minute:

That is,

15 seconds = 13.3 meters

Then,

1 minute (60 seconds) = x

Therefore;

15 × x = 13.3 × 60

x = (13.3 x 60) / 15

x = 798 / 15

x = 53.2

That is, the elephant can move 53.2 meters if it is charged for 1 minute.

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Answer:

i’m pretty sure it’s 6,039

Step-by-step explanation:

12,078 divided by 2

Answer to this question is:

Domain of given function is (-∞,0),{x|x<0}

Range of given function is (0,∞),{y|y>0}

Inverse of given function is -1/2x²

The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.

This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.

When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.

Interval Notation:(-∞,0)

Set-Builder Notation:{x|x<0}

The set of all valid y values constitutes the range.

Interval Notation:(0,∞)

Set-Builder Notation:{y|y>0}

For calculation of inverse:

∴Domain of given function is (-∞,0),{x|x<0}

Range of given function is (0,∞),{y|y>0}

Inverse of given function is -1/2x²

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