help me please thank you

Let the number be "x" , then according to the question :

• 2x - 12 = -8

Further solving

→ 2x = -8 + 12

→ 2x = 4 .

→ x = 2

★ Solution :

Let number be n.

\(\rule{130}{1}\)

☯ \(\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\)

\(:\implies\sf 2n - 12 = -8 \\\\\\:\implies\sf 2n = -8 + 12\\\\\\:\implies\sf 2n = 4\\\\\\:\implies\sf n = \dfrac{4}{2}\\\\\\:\implies\underline{\boxed{\sf n = 2}}\:\:\:\:\:\Bigg\lgroup\bf{Required\: number}\Bigg\rgroup\)

\(\therefore\:\underline{\textsf{The required number is \textbf{2}}}.\)

Recall that the area of a square is:

and the volume of a cube is:

Since the base of the cube has an area of 324 meters squared, then:

Then:

Therefore the volume of the given cube is:

Simplifying the above result we get:

Answer:

Answer:

Fixed Expense (A)

Step-by-step explanation:

Typically fixed expenses incorporate car payments, lease or rent payments, insurance premiums, and real estate taxes. Typically, these expenses can't be simply changed. On the positive side, they're simple to budget for because they regularly stay the same and are paid on a daily basis.

To estimate the mean per capita income for a major city in California with an error of at most $0.56 at the 85% confidence level, the economist needs to determine the required sample size.

To calculate the required sample size, we can use the formula: \(n = \left(\frac{{Z \cdot \sigma}}{{E}}\right)^2\), where \(n\) is the sample size, \(Z\) is the Z-score corresponding to the desired confidence level (in this case, for 85% confidence level, \(Z \approx 1.44\)), \(\sigma\) is the known standard deviation (\$6.6), and \(E\) is the desired margin of error (\$0.56). Plugging in the values, we have \(n = \left(\frac{{1.44 \cdot 6.6}}{{0.56}}\right)^2 \approx 52\). Therefore, a sample size of approximately 52 would be required to estimate the mean per capita income with an error of at most $0.56 at the 85% confidence level.

know more about per capita income :brainly.com/question/2041857

#SPJ11

The best surface tolerance and finish would be gotten if all inside vertical corners had a fillet radius of (b) > 0.125 inches.

The choice of fillet radius is an important factor in determining the surface tolerance and finish of a machined part. A fillet radius is a rounded corner between two flat surfaces. A fillet radius that is too small can result in a rough surface, while a fillet radius that is too large can weaken the part.

In this scenario, a 1/4 inch diameter mill is being used, so the best surface tolerance and finish would be achieved if the fillet radius is greater than 0.125 inch, but less than 0.25 inch. This will ensure that the part is not weakened and the surface is smooth. The exact value of the fillet radius will depend on the specific requirements of the machining process.

Learn more about surface tolerance:

https://brainly.com/question/29492657

#SPJ4

Complete Question:

If you must use a 1/4 inch diameter mill, then the best surface tolerance and finish would be gotten if all inside vertical corners had a fillet radius with the minimum requirement of:

(a) < 0.25 inch

(b) > 0.125 inch

(c) > 0.25 inch

(d) = 0.25 inch

(e) = 0.125 inch

(f) < 0.125 inch

Answer:

the answer is D. y=-1/2x

understand

Let l be the length of the rectangle and w its width.

Then its area is given by:

a = l*w

Its perimeter is given by:

p = 2l + 2w

We also know that, for this specific triangle, we have:

2w = l - 4

l = 2w + 4

a = 126 m²

Applying this result in the area formula, we have:

w*l = 126

w(2w + 4) = 126

2w² +4w = 126

2w + 4w - 126 = 0

Therefore, w = 7 m and l = 2*7 + 4 = 10 m

Then, the perimeter is given by:

p = 2*18 + 2*7 = 36 + 14 = 50 m

Answer:

Step 1

Step-by-step explanation:

6x²+24x+7=0

It would be

6x²+24x=-7 not 7

Answer:

x =  17.32 units

Step-by-step explanation:

In a right triangle tan (angle) = opposite leg / adjacent leg...

  for this triangle   tan 27° = 34 / x

      then x = 34 tan 27° = 17.32 units

The equivalent value of m is given by the expression m = 1

Given data ,

We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.

So, we have:

(-3)^(m+1) × (-3)⁵ = (-3)⁷

Using the property of exponents, we can add the exponents on the left-hand side:

(-3)^(m+1+5) = (-3)⁷

Simplifying the exponents on the left-hand side:

(-3)^(m+6) = (-3)⁷

We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:

m + 6 = 7

Subtracting 6 from both sides:

m = 1

Hence , m = 1 is the value that satisfies the equation

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ1

Answer:

The answer is y=2x/9

Step-by-step explanation:

This equation corresponds between the components in x and y shown.

Answer:

Step-by-step explanation:

the quotient means divide

7/y

the first number is the numerator and the second number is the denominator

In this case, 10 raised to the power of 2 equals 100. Since 64 is less than 100, the exponent required to obtain 64 is less than 2. The value of log(64) is 2.

In mathematics, the logarithm function is the inverse of the exponentiation function. It helps us determine the power to which a base number must be raised to obtain a given result. In this case, we are looking for the value of log(64).

The logarithm function is typically represented as log(base)(number). However, the base is not specified in the given question. In such cases, it is usually assumed that the base is 10, which is known as the common logarithm. Therefore, we can rewrite the expression as log(10)(64).

To solve this logarithmic equation, we need to find the exponent to which 10 must be raised to obtain 64. In this case, 10 raised to the power of 2 equals 100. Since 64 is less than 100, the exponent required to obtain 64 is less than 2. The value of log(64) is 2.

Learn more about logarithmic functions :

https://brainly.com/question/30339782

#SPJ11

Answer:

50.33 mi.

Step-by-step explanation:

GIVEN :-

Coordinates of :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say there are two points A & B on a cartesian plane whose coordinates are (x₁ , y₁) & (x₂ , y₂).

Distance between A & B = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

SOLUTION :-

According to question ,

On Friday , you -

⇒ On Friday , total distance travelled = 12.04 + 8.94 + 7.21 = 28.19 mi.

On Saturday , you -

⇒ On Saturday , total distance travelled = 8.6 + 8.54 + 5 = 22.14 mi.

∴ Total distance travelled on Friday & Saturday = 28.19 + 22.14 = 50.33 mi.

The sample mean is significantly different from 10 at a 0.1 significance level.

The null hypothesis is a statement about the population parameter that we are testing, and the alternative hypothesis is the complement of the null hypothesis. The significance level is the probability of rejecting the null hypothesis when it is true.

In this case, we can use the following null and alternative hypotheses:

Null hypothesis: The population mean is equal to 10.

Alternative hypothesis: The population mean is not equal to 10.

We will use a two-tailed test because the alternative hypothesis is not directional.

We can use the t-test to test the null hypothesis. The t-test statistic is calculated as follows:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

\(t = (11 - 10) / (3.2 / \sqrt{10} ) = 1.58\)

We need to find the critical value of t at the 0.1 significance level with 9 degrees of freedom (10 - 1 = 9). We can use a t-table or a statistical software to find this value. The critical value is ±1.833.

Since the calculated t-value of 1.58 is not greater than the critical value of ±1.833, we cannot reject the null hypothesis. We do not have sufficient evidence to conclude that the population mean is different from 10 at the 0.1 significance level.

for such more question on sample mean

https://brainly.com/question/22920224

#SPJ11

Answer:

x = 3

y = 2

Step-by-step explanation:

Equations

7x - 7y = 7                            

-4x - 7y = - 26                          Multiply both sides of the equation by - 1

-1(-4x - 7y = - 26)

4x + 7y = 26

Solution

Add the two equations together

7x - 7y = 7      

4x + 7y = 26

11x = 33                                  Divide by 11

11x/11 = 33/11

x = 3

4x + 7y= 26                           Use this equation to solve for y. Use x = 3

4*3 + 7y = 26                        Combine the left

12 + 7y = 26                          Subtract 12 from both sides

12 - 12 + 7y = 26 - 12            Combine

7y = 14                                  Divide by 7

7y/7 = 14/7

y = 2  

Answer:

\(\Huge \fbox{72 mph}\)

Step-by-step explanation:

Step 1:

Convert \(\bold{32 m/s}\) to \(\bold{km/h}\) by multiplying by 3.6 (since \(\bold{1 m/s}\) = \(\bold{3.6 km/h}\))

\(\large \text{32 m/s $\times$ 3.6 = 115.2 km/h}\)

Step 2:

Convert \(\bold{115.2 km/h}\) to \(\bold{mph}\) using the given conversion factor of \(\bold{8 km/h = 5 mph}\)

\(\large \text{115.2 km/h $\div$ 8 km/h = 14.4}\\\text{14.4 $\times$ 5 mph = 72 mph}\)

Therefore, \(\bold{32 m/s}\) is equivalent to \(\bold{72 mph}\).

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

In the standard conversion unit, 32 m/s equals 72 mph in mph

The conversion equation is given as

\(\sf 8 \ km/h = 5 \ mph\)

Convert 8 km to meters

So, we have the following equation

\(\sf 8 \times 1000 \ m/h = 5 \ mph\)

Evaluate the products

So, we have the following equation

\(\sf 8000 \ m/h = 5 \ mph\)

Convert 1 hour to seconds

So, we have the following equation

\(\sf 8000 \ m/3600 s = 5\ mph\)

Evaluate the quotient

So, we have the following equation

\(\sf \dfrac{20}{9} \ m/s = 5 \ mph\)

Multiply both sides by 9/20

\(\sf 1 \ m/s = \dfrac{9}{20} \times 5 \ mph\)

Multiply both sides by 32

\(\sf 32 \times 1 \ m/s = 32 \times \dfrac{9}{20} \times 5 \ mph\)

Evaluate the products

\(\sf 32 \ m/s = 72 \ mph\)

Hence, the equivalent of 32 m/s in mph is 72 mph

Read more about unit conversion at:

https://brainly.com/question/28600662

Answer:

12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

since the polygon is regular then the exterior angles are congruent

number of sides = 360° ÷ 30 = 12

Answer:

12.

Step-by-step explanation:

The total number different groups of four subjects are possible are 4845 ways.

The formula for the combination is-

ⁿCr = n!/r!(n - r)!

We are wondering in how many distinct options there are to choose 4 subjects out of 20;

n = 20

r = 4.

Sequence is not important because the topics can be arranged in any order and still form the same group, hence we must use a combination:

Review the combination's definition:

²⁰C₄ = 20!/4!(20 - 4)!

²⁰C₄ = 20!/4!16!

²⁰C₄ = 4845

Thus, the total number of different groups four subject groupings is 4845.

To know more about the combination, here

https://brainly.com/question/28065038

#SPJ4

When a\(_{n}\) = \(2^{n}\)+ n,  a₀ = 1,  a₁ = 3,  a₂ = 6, and a₃ = 11  

When a\(_{n}\) = n^(n+1)!,  a₀ = 0,  a₁ = 2,  a₂ = 2⁶, and a₃ = 3²⁴  

When a\(_{n}\) =  [n/2], a₀ = 0,  a₁ = 1/2,  a₂ = 1, and a₃ = 3/2      

When a\(_{n}\) = [n/2] + [n/2], a₀ = 0,  a₁ = 1,  a₂ = 2, and a₃ = 3/2  

Number sequence

A number sequence is a progression or a list of numbers that are directed by a pattern or rule.

Here,

a₀, a₁, a₂, and a₃ are terms of a sequence

from option a, a\(_{n}\) = \(2^{n}\)+ n

⇒ a₀  = 2⁰+ 0 = 1+0 = 1

⇒ a₁  = 2¹+ 1 = 2+1 = 3

⇒ a₂, = 2²+ 2 = 4+2 = 6

⇒ a₃  = 2³+ 3 = 8 +3 = 11  

from option b, a\(_{n}\) = n^(n+1)!

⇒ a₀  = 0^(0+1)! = 0

⇒ a₁  = 1^(1+1)! = 2² = 2

⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶          [ ∵ 3! = 6 ]

⇒ a₃  = 3^(3+1)! = 3^(4)! = 3²⁴         [ ∵ 4! = 24 ]

from option c, a\(_{n}\) =  [n/2]          

⇒ a₀  = [0/2] = 0

⇒ a₁  = [1/2] = 1/2

⇒ a₂, = [2/2] = 1

⇒ a₃  = [3/2] =  3/2  

from option d, a\(_{n}\) = [n/2] + [n/2]

⇒ a₀  =  [0/2] + [0/2] = 0

⇒ a₁  =  [1/2] + [1/2] = 1/2 + 1/2 = 1

⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2

⇒ a₃  =  [3/2] + [3/2] = 6/4 = 3/2

Learn more about Number sequence problems at

https://brainly.com/question/28680939

#SPJ4

The Complete Question is -

What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals

a. \(2^{n}\) + n                    b. n^(n+1)!

c. [n/2]                      d. [n/2] + [n/2]

The expressions for dz/du and dz/dv are as follows:

dz/du = 4x siny

dz/dv = -6y cosx

To find the expressions for dz/du and dz/dv, we need to differentiate the given function z = 2x^2 - 3y with respect to u and v, respectively.

1. dz/du:

Since u = x^2 siny, we can express z in terms of u by substituting x^2 siny for u in the original function:

z = 2u - 3y

Now, we differentiate z with respect to u while treating y as a constant:

dz/du = d/dx (2u - 3y)

      = 2(d/dx (x^2 siny)) - 0 (since y is constant)

      = 2(2x siny)

      = 4x siny

Therefore, dz/du = 4x siny.

2. dz/dv:

Similarly, we express z in terms of v by substituting 2y cosx for v in the original function:

z = 2x^2 - 3v

Now, we differentiate z with respect to v while treating x as a constant:

dz/dv = d/dy (2x^2 - 3v)

      = 0 (since x^2 is constant) - 3(d/dy (2y cosx))

      = -6y cosx

Therefore, dz/dv = -6y cosx.

In summary, the expressions for dz/du and dz/dv are dz/du = 4x siny and dz/dv = -6y cosx, respectively.

To learn more about expressions, click here: brainly.com/question/4344214

#SPJ11

The mathematical term best defined as two lines that intersect each other at 90° angles is "perpendicular lines." Perpendicular lines are lines that meet or cross each other at right angles (90°).

When two lines are perpendicular, their slopes are negative reciprocals of each other.

The mathematical term that is best defined as two lines that intersect each other at 90° angles is "perpendicular".

When two lines are perpendicular, they form four right angles where they intersect.

In geometry, perpendicular lines are very important, as they are used in many different types of proofs and calculations.

For similar question on angles.

https://brainly.com/question/21025121

#SPJ11

The measure of <A = 53 degrees

To determine the measure of the angle, we need to know the following;

From the information given, we have that;

AB is a diameter of circle O.

Bute m<B = 37 degrees

Then, we can say that;

<A + <B + <C = 180

<A + 90 + 37 = 180

collect the like terms, we have;

<A = 53 degrees

Learn more about circles at: https://brainly.com/question/24375372

#SPJ1

Answer:

I got ans 28 but not there in options I am sorry

Answer:

53

Step-by-step explanation:

x+x+2+72=180

2x=180-74

2x=106....divide both by 2

x=53

Answer:28

Step-by-step explanation:

The balloon that was farther from the town at the beginning, and which traveled more quickly is Henry's balloon.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Henry's balloon is 48 miles after 2 hours.

Tasha's balloon after 2 hours will be:

= 8x + 20

= 8(2) + 20

= 32 miles

In this case, Henry's balloon is farther.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

8

Step-by-step explanation:

sin35=opp/hyp

opp=sin35(14)=8.03 close to 8

The length h for the given triangle is h units.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given triangle is a right triangle.

Apply trigonometric ratio to find the length h of the triangle as follows,

Sin 35° = h/14

⇒ 0.573 = h/14

⇒ h = 8.02

It can be approximated as 8.

Hence, the required length is obtained as 8 units.

To know more about trigonometric ratio click on,

https://brainly.com/question/25122825

#SPJ2

The information that is not needed to determine the total bill after tax is is the tax was 7%.

The total bill is $11.

The total bill paid is the sum of the cost of the meal, tax and the tip paid. The tip and tax would increase in the total amount that is paid by the customers.

Tax is a compulsory amount that is levied by the government on certain goods and services.

Percentage is the fraction of an amount expressed as a number out of hundred. To convert a number from percentage to a number, divide the percentage by 100.

Tax paid = 10% x total bill

$1.10 = 0.1 x b

1.10 = 0.1b

b = 1.10 / 0.1

b = $11

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

a. The information that is needed to solve the problem is D. All of this information is needed to solve the problem.

b. The total bill is $117.

It should be noted that an expression shows the relationship between the numbers or the variables

The total bill will be:

Tip = $1.10

Tax = 7%

Tip = 10% of cost:

$10 = 10% × c

0.1c = $10

c = $10/0.1 = $100

Cost = $100

The total bill. = Cost + Tip + Tax

= $100 + $10 + (7% × $100)

= $100 + $10 + $7

= $117

Learn more about expressions on:

brainly.com/question/723406

#SPJ1