What is the value of x?enter your answer in the box.

Answer:

C

Step-by-step explanation:

We know it's direct variation using the direct variation equation.

[tex]y=kx[/tex]

Where k is the constant.

Since 7 times x is the y values, [tex]k=7[/tex]

Now we can substitute 7 into k of the direct variation equation.

[tex]y=7x[/tex]

Answer:

11.1803

Step-by-step explanation:

Answer:

The square root of 125 is 11.1803398875

Step-by-step explanation:

You know that 10 times 10 is 100. You would then go up from there to 11. If you need to round it, do it to the hundredths place though.

Answer:

B.2152

Step-by-step explanation:

To solve this we are using the standard exponential growth equation:

[tex]y=a(1+b)^x[/tex]

where

[tex]y[/tex] is the final value after [tex]x[/tex] years

[tex]a[/tex] is the initial value

[tex]b[/tex] is the growing rate in decimal form

[tex]x[/tex] is the time in years

We know from our problem that the GNP is growing 4.8% per year, so [tex]b=\frac{4.8}{100} =0.048[/tex]. We also know that the GDP in 1994 was $5.9 billion and the desired GNP is $10 trillion, so [tex]a=5,900,000,000[/tex] and [tex]y=10,000,000,000,000[/tex].

Replacing values

[tex]y=a(1+b)^x[/tex]

[tex]10,000,000,000,000=5,900,000,000(1+0.048)^x[/tex]

[tex]10,000,000,000,000=5,900,000,000(1.048)^x[/tex]

Divide both sides by 5,900,000,000:

[tex]\frac{10,000,000,000,000}{5,900,000,000} =(1.048)^x[/tex]

Take natural logarithm to both sides

[tex]ln(1.048)^x=ln(\frac{10,000,000,000,000}{5,900,000,000})[/tex]

[tex]xln(1.048)=ln(\frac{10,000,000,000,000}{5,900,000,000})[/tex]

Divide both sides by ln(1.048)

[tex]x=\frac{ln(\frac{10,000,000,000,000}{5,900,000,000})}{ln(1.048)}[/tex]

[tex]x[/tex] ≈ 158

We now know that Canada's GNP will reach $10 trillion after 158 years from 1994, so to find the year we just need to add 158 years to 1994:

1994 + 158 = 2512

We can conclude that the correct answer is B.2152

Answer:

The y-intercept is 0

The equation is y=3x

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-coordinate of the y-intercept

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

Observing the table

For x=0, y=0

therefore

b=0

Find the slope between the points (0,0) and (1,3)

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{3-0}{1-0}[/tex]

[tex]m=3[/tex]

the equation is equal to

[tex]y=3x+0[/tex]

[tex]y=3x[/tex]

Answer:

[tex]\large\boxed{(81m^6)^\frac{1}{2}=9m^3}[/tex]

Step-by-step explanation:

[tex]81=9^2\\\\m^6=m^{3\cdot2}=(m^3)^2\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\left(81m^6\right)^\frac{1}{2}=\bigg(9^2\left(m^3\right)^2\bigg)^\frac{1}{2}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\left(9^2\right)^\frac{1}{2}\bigg(\left(m^3\right)^2\bigg)^\frac{1}{2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=9^{2\cdot\frac{1}{2}}\left(m^3\right)^{2\cdot\frac{1}{2}}=9^1(m^3)^1=9m^3[/tex]

Other method:

[tex]Use\ a^\frac{1}{n}=\sqrt[n]{a}\to a^\frac{1}{2}=\sqrt[2]{a}=\sqrt{a}\\\\\left(81m^6\right)^\frac{1}{2}=\sqrt{81m^6}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{and}\ (a^n)^m=a^{nm}\\\\=\sqrt{81}\cdot\sqrt{m^{3\cdot2}}=9\sqrt{(m^3)^2}\qquad\text{use}\ \sqrt[n]{a^n}=a\to\sqrt{a^2}=a\\\\=9m^3[/tex]

The equation that can be used to find the total distance the plane will travel in h hours is d = 400 × h

Total distance traveled by the plane = d miles

Total hours traveled = h hours

total speed of the plane = 400 miles per hour

Distance traveled = speed × time

d = 400 × h

d = 400h

Therefore, the equation that can be used to find the total distance the plane will travel in h hours is d = 400 × h

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The correct option is 3. [tex]\ d = 400 \times h[/tex]

To determine the total distance \(d\) an airplane will travel given its speed and time, we use the formula:

[tex]\[\text{Distance} = \text{Speed} \times \text{Time}\][/tex]

Given:

[tex]\text{Speed of the airplane} = \text{400 miles per hour}[/tex]

[tex]Time = \(h\) hours[/tex]

Plugging in the values:

[tex]\[d = 400 \times h\][/tex]

Answer:

The answer is two hours and thirty minutes.

Step-by-step explanation:

The movie starts at 2:30 PM, and Anne and her friends finish their ice cream at 5:00 PM. If you add two hours and thirty minutes to 2:30 PM, you reach 5:00 PM.

Two hours 30 minutes a

Answer:

B

Step-by-step explanation:

Put in order smallest to largest:

43, 46, 48, 50, 50, 51, 52, 55, 57, 57, 58

Identify the median (middle number).  That's 51.  So we can split this into a lower half and an upper half:

Lower half: 43, 46, 48, 50, 50

Upper half: 52, 55, 57, 57, 58

The lower quartile starts at the median of the lower half: 48.

The upper quartile ends at the median of the upper half: 57.

So the answer is B.

Answer:

880cm²

Step-by-step explanation:

Find areas and add them first the one at the bottom middle. 20x8 = 160. Now above it 20x10 = 200. To the left 8x10 = 80. To the right 8x10 = 80. Go up 8x20 = 160. Last block up 10x20 = 200. Add the areas => 880cm²

Answer:

The formula is:

[tex]a_n=1.2(\frac{5}{2})^{n-1}[/tex]

Step-by-step explanation:

The geometric sequences are those in which the division between the terms [tex]a_{n + 1}[/tex] and [tex]a_n[/tex] of the sequence are equal to a constant common reason called "r"

The geometrics secencias have the following form:

[tex]a_n=a_1(r)^{n-1}[/tex]

Where [tex]a_1[/tex] is the first term of the sequence

In this sequence we have the following terms

1.2, 3, 7.5, 18.75

Then notice that:

[tex]\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}[/tex]

Then:

[tex]r=\frac{5}{2}[/tex]  and [tex]a_1=1.2[/tex]

Finally the formula is:

[tex]a_n=1.2(\frac{5}{2})^{n-1}[/tex]

Answer:

Answer: "f(x) = 1.2(2.5)x-1"

Step-by-step explanation:

Answer:

tan(5x/8)

Step-by-step explanation:

given expression

[tex]\frac{tan(1/2x)+tan(1/8x)}{1-tan(1/2x)tan(1/8x)}[/tex]

Using the trigonometric identity

tan(a+b)= [tex]\frac{tan(a) + tan(b)}{1-tan(a)tan(b)}[/tex]

here a= 1/2x and b=1/8x

putting the values we get

=tan(1/2x+1/8x)

=tan(5/8x)!

ANSWER

a.

positive

EXPLANATION

The given binomial expansion is:

[tex] {(x - y)}^{n} [/tex]

We can see that the second term is negative (-y).

When we expand this binomial for n=3,4, and 5, the sign is got to alternate.

The first term is positive

The second term negative

The third term is positive

The first choice is correct.

Answer:

A;)

Step-by-step explanation:i dont have negative sign

I think the answer would be 122.4

Answer:

12 parts of fruit juice

To maintain the 2:3 ratio of soda to fruit juice, if you use 8 cups of soda, you would need 12 cups of fruit juice.

The punch recipe calls for 2 parts soda to 3 parts fruit juice. If you are using 8 cups of soda, you need to determine how much fruit juice is required using the given ratio. To do this, we can set up a proportion:

Soda: 2 parts
Fruit juice: 3 parts

If 2 parts are represented by 8 cups of soda, then 1 part would be 4 cups of soda (since 8 divided by 2 equals 4). Therefore, for 3 parts of fruit juice, we need 3 times 4 cups, which is 12 cups of fruit juice.

Here is the calculation:
2 parts : 3 parts
8 cups : x cups
x =  rac{3}{2} times 8 cups
x = 3 times 4 cups
x = 12 cups

So, you will need 12 cups of fruit juice to maintain the proper ratio if using 8 cups of soda.

Answer:

A

Step-by-step explanation:

Answer:

The correct answer is option A.

Step-by-step explanation:

The EMI formula is ::

[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]

Here,

p = 139000

r = [tex]6.45/12/100=0.005375[/tex]

n = [tex]30*12=360[/tex]

Now, putting these values in formula we get,

[tex]\frac{139000*0.005375*(1+0.005375)^{360} }{(1+0.005375)^{360}-1 }[/tex]

[tex]\frac{139000*0.005375*(1.005375)^{360} }{(1.005375)^{360}-1 }[/tex]

= $874.01

Therefore, option A is the answer.

Answer:

x is 29.

Step-by-step explanation:

x-21=8 (same equation to solve)

+21  +21 (add 21 to both sides)

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

x= 29

Answer:

The first one is 179. The second one is 162 The second one is shorter by 17 miles.

Step-by-step explanation:

I got that because 1:53+28=81+98=179 2:28+49=77+85=162

179-162=17

Can I get brainliest

Answer:

4(2y−9)

Step-by-step explanation:

lets factor out "4" out of the equation 8y-36

so u will get: 4(2y−9)

hope this helps

Answer:

  see answers in bold below

Step-by-step explanation:

a. The area of each red triangle is given by the formula for the area of a triangle:

  A = 1/2·bh

The base is 14 ft - 10 ft = 4 ft. The height is shown as 4 ft, so the area of each triangle is ...

  A = (1/2)(4 ft)(4 ft) = 8 ft²

Then the red area is that of the two triangles:

  red area = 2·(8 ft²) = 16 ft²

The white rectangle area is the product of its length and width:

  white area = (8 ft)(4 ft) = 32 ft²

The area of the whole central parallelogram is the product of its length and width:

  parallelogram area = (14 ft)(8 ft) = 112 ft²

But the yellow area is the difference between this value and the white area:

  yellow area = 112 ft² -32 ft² = 80 ft²

__

b. The area to be primed is the sum of the areas to be painted different colors:

  primed area = red area + white area + yellow area

  = 16 ft² + 32 ft² + 80 ft²

  primed area = 128 ft²

_____

In the attached figure, each grid square is 2 ft.

Answer:

The frequency of a number

Step-by-step explanation:

The mode in a data set provides how frequent a number in a data set appears.

For example, take the following data set:

1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10

The mode of this data set would be 3.

This is because 3 is repeated more frequently in the data set than any other number.

1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10

I hope this helps!

Answer:

the answer is 102.

Step-by-step explanation:

Answer:

Hope this helps!!!

Answer:

34°

Step-by-step explanation:

The measure of vertical angles formed by two chords is equal to one half the sum the measures of the arcs.

In other words, x is the average:

x = (23° + 45°) / 2

x = 34°

The correct answer should be x=4, y=2 or (4, 2)

Answer:

Step-by-step explanation:

A linear function involves two variables which are in their first power form, such as x and y.

A nonlinear function may include two variables, one or more of which are of the 2nd or higher power.

Unfortunately, you did not share the possible answer choices, so I cannot be more specific.  I'd suggest you repost this question, with answer choices, if you still  want guidance here.

y = x^2 - 2 is NOT a linear function, because of that power (2).  Note how all the other choices show x to the 1st power.

A linear function is represented by an equation in the form y = a + bx and generates a straight line when plotted on a graph. Any equation that does not fit this form, such as quadratic, exponential, trigonometric, or inverse functions, which generate curves when plotted, are not linear functions.

The question asks which equation is not a linear function. A linear function is one that can be represented by an equation in the form y = a + bx, where 'a' and 'b' are constants and 'x' is the independent variable. This form of function generates a straight line when plotted on a graph, with 'b' representing the slope of the line and 'a' representing the y-intercept, where the line crosses the y-axis.

An equation that does not fit this form is not a linear function. For instance, a quadratic function, represented by a second-order polynomial equation such as y = ax^2 + bx + c, is not linear. These types of equations generate curves when plotted on a graph, not straight lines.

Futhermore, any other function types such as exponential, trigonometric, or inverse, which generate curves that are not straight lines when plotted, are also not linear functions.

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The 2nd triangle has a bigger area, because since it has 2 sides that are equal to the first and its 3rd side is larger than the 1st triangle, it would have larger area, because it would have to have a larger area to have a larger side.

Answer:

Which triangle has a bigger area:  

1. A triangle with sides measuring 300, 400, and 500.

2. A triangle with sides measuring 300, 400, and 700.

Step-by-step explanation:

The second triangle has the largest area, because although the two triangles have two sides with the same size, the third is larger in the second triangle, 700 of the second, versus 500 of the first, and hence the area is also greater than in the first.

Answer: $235,62

Step-by-step explanation:

You need to use the formula for calculate the volume of a cylinder:

[tex]V=\pi r^2h[/tex]

Where "r" is the radius and "h" is the height.

You know that  the cylindrical container has a diameter of 0.5 feet and a height of 5 feet (Remember that the radius if half the diameter):

[tex]r=\frac{0.5ft}{2}=0.25ft\\\\h=5ft[/tex]

Then, you need to substitute these values into  [tex]V=\pi r^2h[/tex] to get the  volume of the cylindrical container:

 [tex]V=\pi (0.5ft)^2(5ft)[/tex]

[tex]V=3.92ft^3[/tex]

Since the gas costs $60 per cubic foot, you need to multiply the volume of the container by $60 to get  the total value of the gas in the container if it's filled completely. Then:

[tex]total\ value=(3.92)(\$60)=$235,62[/tex]

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

[tex]\text{Decimals can run out 100}[/tex]

[tex]\text{So,}\frac{0.0487\%}{1}\times\frac{100}{100}[/tex]

[tex]\text{Cross multiply: .0487}\times100=4.87\\ 100\times1=100[/tex]

[tex]\text{We get:}\frac{4.87}{100}[/tex]

[tex]\text{We could get rid of the 100 value because it is labeled as: per}[/tex]

[tex]\text{But, you can keep the 4.87 because it is the percentage of .0487}[/tex]

[tex]\boxed{\boxed{\text{Answer:C.) 4.87\%}}}[/tex] [tex]\checkmark[/tex]

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

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

Final answer:

Decimal .0487 converts to 4.87% when we move the decimal point two places to the right. The correct answer is C, 4.87%.

Explanation:

To convert the decimal .0487 into a percent, we need to move the decimal point two places to the right, in accordance with the process described for converting decimals to percents. This gives us 4.87%, which means the correct answer is option C.

Answer:

Strong and Positive Relation

Step-by-step explanation:

Here, when we plot the graph of y = 0.4125x + 0.1576

Then we see that the graph has a positive correlation as we increase the value of x, the value of y is also increasing. So, Life of Car's Engine and Number of Times the Oil is Changed has a Positive relation.

And if our scatter plot is horizontal, vertical or we unable to draw the line of best fit then it has no or little correlation but here we see that line is not lie in either case. So, the relationship is strong but not very strong.

Answer :

A) 0.4125 shows how much the longevity of the engine increases with each oil change.  

B) 0.4125 shows the expected longevity with no all changes.  

C) 0.4125 shows the expected longevity for all engines, with or without oil changes.  

D) 0.4125 is the expected decrease in longevity for each year without an oil change.

Step-by-step explanation: THE answer IS A!!

( i just took the test)

La letra C puede ser la respuesta correcta pero tengo mis dudas.

The probability of x = 5 successes in n = 8

trials for the probability of success p = 0.3 IS A.) 5.6

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elg=124°

eld=2x

elg+eld=180°=>eld=180°-124°=56°/eld=2x=56°=>x=56°/2=28°

eld+dlh=180°=>dlh=180°-56°=124°

hlg+dlh=180°=>hlg=180°-124°=56°

Answer:

from the figure we get x = 28

Step-by-step explanation:

Proof is given below

Statements                                        Reason

1). <ELG = 124                             Given

2). <ELD = 2x                               Given

3).  <ELG and ELD are linear       Definition of linear pair

    a pair

4).  m<ELD + m<ELG = 180       Sum of linear pair angles 180

5).   2x + 124 = 180                      Substitution

6).   2x = 180 - 124 = 56               Subtraction property

7).  x = 28                                      Division property