hellplppppppp800x40÷80=

Answer:

x = -7

Step-by-step explanation:

-6x + 3 = 45  

      - 3    - 3

        -6x = 42

         /-6 = /-6

         x    =  -7

The value of x to satisfy the given equation is 1/17.

Given,

-6x + 3 = 45x

We need to find x that makes that satisfy the equation.

A numeral is a symbol or name that stands for a number.

Find x.

-6x + 3 = 45x

Subtract 45x on both sides

-6x + 3 - 45x = 45x - 45x

-51x + 3 = 0

Subtract -3 on both sides

-51x + 3 - 3 = -3

-51x = -3

Divide both sides by 51

(51/51)x = 3/51

x = 1 / 17

This means we need x = 1/17 to make the equation true.

-6 x 1/17 + 3 = 45 x 1/17

-6/17 + 3 = 45/17

(-6 + 51) / 17 = 45/17

45/17 = 45/17

Thus the value of x to satisfy the given equation is 1/17.

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Answer:

y=3.61

Step-by-step explanation:

y=k/x

4.75= k/38

(4.75)(38)=k

k=180.5

y=180.5/50

y=3.61

Final answer:

y varies inversely with x, which means y = k/x. With y = 4.75 when x = 38, the constant k equals 180.5.

Hence, when x = 50, y equals 3.61.

Explanation:

If y varies inversely with x, this means the relationship between y and x can be described by the equation y = k/x, where k is a constant. Given that y = 4.75 when x = 38, we can first find the constant k by multiplying y by x:

k = y * x = 4.75 * 38 = 180.5

Now that we have found the constant k, we can use it to find y when x = 50. Using the inverse variation formula again, we have y = k/x:

y = 180.5 / 50 = 3.61

Therefore, when x is 50, y is 3.61.

Answer:

4.583 *10^9

Step-by-step explanation:

for scientific notation, the number has to be 1<x<10

so in this case, move the decimal point behind the 4. since there are 3 other non 0 digits behind the 4, write it as 4.583

now count how many spaces there are after the 4 and put that as the exponent for 10

Answer:

4.58 x 106

Step-by-step explanation:

i hope this help

Answer:

The answer is v=12.

Step-by-step explanation:

[tex]\frac{v3}{3} =\frac{36}{3\\}[/tex]

[tex]v= \frac{36}{3}[/tex]

[tex]v=12[/tex]

The solution of v³ = 36 for v will be 3.32.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

Given the equation,

v³ = 36

Now,

By taking inverse exponents,

v = [tex]36^{1/3}[/tex]

v = 3.32

Hence "The solution of v³ = 36 for v will be 3.32".

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Answer:

[tex](x+3)^{2}+6[/tex]

Step-by-step explanation:

The given expression is:

[tex]x^2+6x+15[/tex]

We have to re-write the given expression in form of perfect square. The above equation can be rewritten as:

[tex](x^2+6x)+15\\\\ =(x^2+2(x)(3))+15[/tex]

The general formula of a perfect square is:

[tex](a+b)^{2}=a^{2}+2(a)(b)+b^{2}[/tex]

Comparing previous two equations we can conclude that:

We have the square of first term(x), we have twice the product of first term(x) and second term(3). The square of second term(3) is missing. We can rewrite the previous equation as:

[tex](x^2+2(x)(3))+9+6\\\\ =(x^2+2(x)(3)+9)+6\\\\ =(x^2+2(x)(3)+3^{2})+6\\\\ =(x+3)^{2}+6[/tex]

This is the required form of the given expression.

Answer:

1-4380   2-219   3-15.44    4-37.1     5-6.13      7-58.67     8-160.33

Step-by-step explanation:

Answer:

C = 2

Step-by-step explanation:

9c + 14 = 2c^2 + 9c + 6

-9c                     -9c

14 = 2c² + 6

-6           -6

8 = 2c²

4 = c²

c = 2

The value of c on the circle is 4 or -4.

In geometry, the tangent of a circle is a line that intersects the circle at only one point, known as the point of tangency.

The tangent line is perpendicular to the radius of the circle at that point.

We have,

XY and XZ are tangent on the same circle.

So,

XY = XZ

This means,

2c² + 9c + 6 = 9c + 14

Combining like terms.

2c² + 9c - 9c + 6 - 14 = 0

2c² - 8 = 0

2c² = 8

c² = 8/2

c² = 4

c = √4

c = ±4

Thus,

The value of c is 4 or -4.

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Answer:

Is is Infinitely many solutions so 0=0

Step-by-step explanation:

Equation 1: 4y - 3x = -20

Equation (2):  y - 3x/4  = -5

Multiply equation (2) by 4

Equation 1: 4y - 3x = -20

Equation (2): 4y - 3x = -20

y = 3x/4 - 5

4•(3x/4-5) - 3x = -20

Therefore the answer leads to:

Infinitely many solutions, 0=0

Hope this helped :')

By setting up a system of equations based on the given information, we find that Brenda sewed 12 buttons on 28 dresses.

Since there are 90 dresses in all, Brenda would have sewed 8 buttons on some and 12 buttons on the remaining. We can set up a system of equations to solve this. Let's say the number of dresses that have 8 buttons is 'x' and the number of dresses with 12 buttons is 'y'. Hence, we have two equations:

From the first equation, we get x = 90 - y. Substituting this into the second equation, we have 8*(90 - y) + 12y = 784. Solving this yields, y = 28. Therefore, Brenda sewed 12 buttons on 28 dresses.

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Answer:

KN can be best described as a Diameter, as it is a chord(Line that goes between two distinct points in a circle) and goes through the radius.

An example of a radius would be segment KP or PN.

An example of a chord would be segments KN or NM.

An example of a secant would be line LN

An example of a tangent would be line JL.

Answer:

C) diameter

Step-by-step explanation:

KN is a straight line passing through the centre and not outside the circle, so it's a diameter

Answer:

Yes

Step-by-step explanation:

Mrs. Shelby

$3 for  6 muffins

$3 for every 6 muffins 3 X 6 =18

$3...6

$6...12

$9....18

Mrs. Kloske

$9 for 18        

They are equivalent in the sense that the price break down would be the same.

Step-by-step explanation:

sin(2x) + cos(3x)

Use double angle formula sin(2x) = 2 sin x cos x.

Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.

Substitute:

2 sin x cos x + 4 cos³x − 3 cos x

Answer:

21.16

Step-by-step explanation:

Starting from the theory we have the following equation:

[tex]fi*P(x<c-1) = 0.99[/tex]

Using the data supplied in the exercise, we have subtracting the mean and dividing by the standard deviation:

[tex]P( z \leq \frac{c-1-12}{3.5}) =0.99/fi[/tex]

solving for "c", knowing that fi is a tabulating value:

[tex]\frac{c-13}{3.5}=0.99/fi\\\frac{c-13}{3.5}=2.33\\c-13=2.33*3.5\\c = 8.155 +13\\c = 21.155[/tex]

therefore the value of c is equal to 21.16

Answer:

120 in or 60in or 60^2

Step-by-step explanation:

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Answer:

Option C is the right choice where length of the arc is 25/18π.

Step-by-step explanation:

Given:

Length of the radius of the circle, [tex]r[/tex] = 2 unit

Angle between the arc, [tex]\theta[/tex] = 125°

We have to find the arc length.

Let the arc length JL be "a" unit.

Formula to be used:

Arc length = (Circumference times angle ) / 360°

Using the above formula and plugging the values.

⇒ Arc length, JL, 'a' = [tex]2\pi r\times (\frac{\theta}{360})[/tex]

⇒ [tex]a=2\pi r\times (\frac{\theta}{360})[/tex]

⇒ [tex]a=2\pi (2)\times (\frac{125}{360})[/tex]

⇒ [tex]a=4\pi \times (\frac{125}{360})[/tex]

⇒ [tex]a=\frac{4\pi \times 125}{360}[/tex]

⇒ [tex]a=\frac{500\pi }{360}[/tex]

⇒ [tex]a=\frac{50\pi }{36}[/tex]

⇒ [tex]a=\frac{25\pi }{18}[/tex]          ... reducing to lowest term.

So,

The length of the arc JL is 25/18π and option C is the right choice.

The volume of a cube that measures 3 meters on one side is 27 cubic meters.

The volume of a cube is calculated by raising the length of one side to the power of three, which in mathematical notation is written as s^3. If a cube measures 3 meters on one side, you would calculate the volume as follows: 3^3 = 3 * 3 * 3 = 27 cubic meters. So, the volume of this cube is 27 cubic meters.

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We can find a and b using inverse trig functions,

[tex]

\cos(a)=\frac{4}{5}\implies a=\arccos\Big(\frac{4}{5}\Big)\approx36.87 \\

\sin(b)=-\frac{5}{13}\implies b=\arcsin\Big(-\frac{5}{13}\Big)\approx-22.62

[/tex]

[tex]\tan(36.87-(-22.62))\approx1.7[/tex]

Hope this helps.

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean μ, when the population standard deviation is not known is:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]

The information provided is:

[tex]\bar x=4.58\\s=1.10\\\alpha =0.10[/tex]

Compute the critical value of t for 90% confidence interval and (n - 1) degrees of freedom as follows:

[tex]t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671[/tex]

*Use a t-table for the probability.

Compute the 90% confidence interval for population mean μ as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}[/tex]

     [tex]=4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)[/tex]

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

Hₐ: The mean time it takes to complete a bachelor’s degree is 4 years, i.e. μ = 4.

Hₐ: The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. μ ≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. μ = 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

Final answer:

The 90% confidence interval for the mean time to graduate ranges from approximately 4.32 to 4.84 years, indicating it may take longer than 4 years to complete a bachelor's degree on average.

Explanation:

To calculate the 90% confidence interval for the mean time to graduate, we'll use the sample mean (Ü), standard deviation (s), and the sample size (n).

The formula for the confidence interval is:

Ü ± (t* × (s/√n))

Where

t* is the t-score that corresponds to the 90% confidence level and n-1 degrees of freedom.

Since our sample size (n) is 50, we have 49 degrees of freedom.

Using a t-distribution table or calculator, we can find the appropriate t* value.

Now, let's use the provided information: Ü = 4.58 years, s = 1.10 years, and n = 50.

Assuming that the t-score (t*) is approximately 1.676 for 49 degrees of freedom at the 90% confidence level, we can compute the margin of error (ME):

ME = 1.676 × (1.10/√50) ≈ 0.26 years

Thus, the 90% confidence interval is:

4.58 ± 0.26 years

This interval ranges from approximately 4.32 to 4.84 years. It suggests that we can be 90% confident that the true mean time for graduates to complete a bachelor's degree is within this range.

The confidence interval does not contain the value of 4 years. Thus, this may indicate that it takes longer than 4 years on average to complete a bachelor's degree, contradicting the belief that it takes exactly 4 years.

Answer:

220 ft^3

Step-by-step explanation:

Assuming a rectangular tank,

V = l*w*h

   = 8*5*5.5

   =220 ft^3

Answer:

486

Step-by-step explanation:

it multiplies by 3 each time

Answer:

486

Step-by-step explanation:

I just did 6/2 and got three and that was the rate of change so I multiplied 3 to  2 to get 6 and then multiplied 3 again to get 18 and kept going until I got to 162 and multiplied that to 3 to get 486.

Answer:

y= (x-2)^2/4-7

Step-by-step explanation:

Answer: A)There are 5 nonfiction books for every 9 fiction books in the library.  

Step-by-step explanation: If you do the math you realize that there are clearly less nonfiction books than fiction books.

105/5=21 and after 21*9 lines up and to check your work than

5*21=105 and 9*21=189 it is not B because the smaller number 105 is in front of the ratio 105:189 and 5:9

Per 5 nonfiction books there are 9 fiction books in the given library.

Given that;

Ratio of nonfiction books to fiction books = 105:189

Computation:

Ratio of nonfiction books to fiction books = 105:189

[tex]Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{105}{189}\\\\Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{35}{63}\\\\Ratio\ of\ nonfiction\ books\ to\ fiction\ books = \frac{5}{9}\\\\[/tex]

So,

we say that;

Per 5 nonfiction books there are 9 fiction books

Option "A" is the correct answer to the following question.

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Answer:

The input force needed is 225 Newtons

Step-by-step explanation:

From hydraulic pressure laws,  we have that the pressure at the same level throughout the body of a fluid is equal.  

This means that for the Hydraulic Jack, input pressure = output pressure

Recall,Pressure is a ratio of force and area

i.e pressure = Force / Area

For the hydraulic jack to work properly, the pressure at the input end must be equal to the pressure at the output end.

[tex]\frac{F_{1}}{A{1}} = \frac{F_{2}}{A_{2}}[/tex]

[tex]\frac{9000}{4}=\frac{Force}{0.1}[/tex]

From this we can compute that the Input force = 225 Newtons

Answer:

Step-by-step explanation:

Since the pipe is an enclosed container, we would apply Pascal's law which states that a pressure applied to a fluid in a closed container is transmitted equally to every point of the fluid and the walls of the container,

This means that pressure at input = pressure at output

Pressure = force /area

Input force = unknown

Input area = 0.1 m²

Output force = 9000N

Output area = 4m²

Therefore

Input force/0.1 = 9000/4

Input force = 0.1 × 9000 /4 = 225N

3y-y =2y

you have 3 ys and you are taking one y away so  the answer is 2y.

think it as 3 yogurts and you eat one, then you have 2 yogurts

hope this helps!  

Answer:

  -2.1x +14.4y

Step-by-step explanation:

Use the distributive property to eliminate parentheses. Then combine like terms.

  (12.7y-3.1x)+5.9y-(4.2y-x)

  = 12.7y -3.1x +5.9y -4.2y +x

  = x(-3.1 +1) +y(12.7 +5.9 -4.2)

  = -2.1x +14.4y

Answer: 15,700 is 1/10 of 157,000 (A)

Step-by-step explanation:

The relationship between 15,700 and 157,000 is that 15,700 is 1/10 of 157,000

1/10 × 157,000 = 15,700

A 15,700 is 1/10 of 157,000

= 1/10 × 157,000

= 15700 (Correct)

15700 equals 15700

B 157,000 is 1/10 of 15,700

= 1/10 × 15700 = 1570 (Wrong)

1570 is not equal to 157000

C 15,700 is 1/100 of 157,000

= 1/100 × 157,000 = 1570 (Wrong)

1570 is not equal to 15700

D 157,000 is 1/100 of 15,700

1/100 × 15700 = 157 (Wrong)

157 is not equal to 157000

Answer:

59

Step-by-step explanation:

As far as I know every triangle has to equal 180°

So if you add 98+23 you would get 121

subtract that from 180 and get 59

Hope this helps!

Answer:

True

Step-by-step explanation:

Since if you use negative number you can determine the length between -3 and 0.

Answer:

The sample should be as large as 480

Step-by-step explanation:

Probability of having a flu, p = 43/334

p = 0.129

Margin Error, E = 0.03

Confidence Interval, CI= 95%

At a CI of 95%, [tex]z_{crit} = 1.960[/tex]

The sample size can be given by the relation:

[tex]n = p(1-p)(z/E)^{2}[/tex]

[tex]n = 0.129(1-0.129)(1.960/0.03)^{2} \\n = 479.59\\n = 480[/tex]

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula n = (z^2 * p * (1-p)) / (E^2), where n is the required sample size, z is the z-score corresponding to the desired level of confidence, p is the estimated proportion of the population with the characteristic, and E is the desired margin of error. Plugging in the given values, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

To determine the sample size needed to estimate the population proportion with a desired margin of error, we can use the formula:

n = (z^2 * p * (1-p)) / (E^2)

Where:

Plugging in the given values:

n = (z^2 * p * (1-p)) / (E^2) = (1.96^2 * 0.129 * 0.871) / (0.03^2) ≈ 3244.42

So, the epidemiologist should take a sample size of approximately 3245 in order to achieve her desired margin of error.

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