4x-5x+7x

Can I get a step by step simplication. ​

The radius of the cone is 2cm( nearest centimeter).

A cone is a shape formed by using a set of line segments. A cone consist of a circular base and Apex.

The volume of a cone is expressed as;

V = 1/3πr²h

where r is the radius and h is the height of the cone.

volume = 8πcm³

height = 4cm

The radius is calculated as;

8π = 1/3 × π × r² × h

24π = πr²h

24 = 4r²

divide both sides by 4

r² = 24/4

r² = 6

r = √6

r = 2 cm ( nearest centimeters)

therefore the radius of the cone in nearest centimeters is 2cm

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Answer:

16

Step-by-step explanation:

mp is 18, do 4/9 of that and you get 8. add it to m and get mn which is 16

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

x = 4

Step-by-step explanation:
1.Distribute

2. Subtract 2 from both sides
3. Simplify
4. Divide both sides by same factor

5. Simplify
x = 4

Answer: 4

Step-by-step explanation:

We have to try getting x by itself to solve for it. Since we have two sides that are equal to each other, we can add, subtract, multiply, and divide anything on both sides to try to isolate x.

\(2(x+1)=10\)

We can first divide the left side and the right side by 2. This would remove the 2 being multiplied on the outside.

\(\frac{2(x+1)}{2}=\frac{10}{2}\\x+1=10\div 2\\x+1=5\)

Now, we have a + 1 on the left side that we need to remove to get x by itself. If we are adding something, we can remove that by subtracting the same thing. Hence, we can subtract 1 from both sides to remove the + 1.

\(x+1=5\\x+1-1=5-1\\x+0=4\\x=4\)

After all that simplifying, we get that x equals 4.

Answer:

221

Step-by-step explanation:

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer:

\( - 2\)

Step-by-step explanation:

Hope it is helpful...

Answer:

Given equation are 3x+4y=11 and 2x+3y=8

Comparing with a

1

x+b

1

y+c

1

=0 and a

2

x+b

2

y+c

2

=0 we have

a

1

=3,b

1

=4,c

1

=−11 and a

2

=2,b

2

=3,c

2

−8

Now , x=

a

1

b

2

−a

2

b

1

b

1

c

2

−b

2

c

1

and y=

a

1

b

2

−a

2

b

1

c

1

a

2

−c

2

a

1

⇒x=

3×3−2×4

4x(−8)−3×(−11)

and y=

3×3−2×4

−11×2−(−8)×3

⇒x=

9−8

−32+33

and y=

9−8

−22+24

⇒x=1 and y=2

Answer:

\(2\sqrt{3}+3\sqrt{2}-\sqrt{10}-\sqrt{15}\)

Step-by-step explanation:

\($\frac{\sqrt{2} +\sqrt{3}} {\sqrt{5} +\sqrt{6}} $\)

In order to rationalize it, we multiply the denominator by its conjugate

This way we have a difference of squares

\(\boxed{(a+b)(a-b) = a^2-b^2}\)

\($\frac{\sqrt{2} +\sqrt{3}} {\sqrt{5} +\sqrt{6}} \cdot \frac{\sqrt{5} -\sqrt{6}} {\sqrt{5} -\sqrt{6}} = \frac{(\sqrt{2} +\sqrt{3})(\sqrt{5} -\sqrt{6})}{5-6} $\)

\($\frac{(\sqrt{2} +\sqrt{3})(\sqrt{5} -\sqrt{6})}{5-6}=\frac{\left(\sqrt{10}-2\sqrt{3}+\sqrt{15}-3\sqrt{2}\right)}{-1} $\)

\(-(\sqrt{10}-2\sqrt{3}+\sqrt{15}-3\sqrt{2}) = 2\sqrt{3}+3\sqrt{2}-\sqrt{10}-\sqrt{15}\)

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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The owner should use a significance level of 0.10 to minimize the chance of firing the quarterback when he has improved.

The owner should use a significance level of 0.10, not 0.01 when evaluating the quarterback's performance. The significance level is the probability of making a type I error, which is rejecting the null hypothesis when it is true. A lower significance level (e.g. 0.01) means that the owner is setting more stringent criteria for accepting the null hypothesis, and therefore is more likely to reject it and potentially fire the quarterback, even if he has improved.

On the other hand, a higher significance level (e.g. 0.10) means that the owner is setting less stringent criteria, and therefore is less likely to reject the null hypothesis and fire the quarterback if he has improved. In this case, the owner wants to minimize the chance of firing the quarterback when he has improved, so it is better to use a higher significance level of 0.10.

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The given claim is "The standard deviation of pulse rates of adult males is less than 12 bpm". The claim can be expressed symbolically as,σ < 12

Here,σ: standard deviation of pulse rates of adult males, bpm: beats per minute

Hence, the symbolic form of the original claim is σ < 12.

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Answer:

5.94

Step-by-step explanation:

75 - 69.06 = x

x = 5.94

Answer:

10x-4y-6

Step-by-step explanation:

-3x+2y-6+13x-6y

-3x+13x+2y-6y-6

10x-4y-6

Answer:

B

Step-by-step explanation:

Look at the points themselves.

The y value in each case in quad 1 is 1/2 of the x value. So y = 2 is 1/2 of x = 4.

The point in quad 3 is a little different. It looks wrong but it is not. The x value is -2 and the y value is -1. The ratio still holds.

So which equation is correct. It should be B. y = 1/2 x. All the values of y are 1/2 of x

Answer:

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

Step-by-step explanation:

The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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To determine the amount of money she makes per birdhouse you can use this equation is 10x - 3.25x - 30 = p

What is determine?

to resolve or conclude (a conflict, question, etc.) with a strong or convincing judgment. to bring about, influence, or determine causally; fix: Supply for a product is typically determined by demand.

to have direct control over something, to make decisions about what will happen, etc. The number of employees we can hire will depend on how much money we are permitted to spend. What you consume influences your health in part.

10x - 3.25x - 30 = p

x being the amount of birdhouses sold

p being the amount she made

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Thus, there are 208 positive integers less than 1000 that are divisible by exactly one of 7 and 11. The rules used to find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11 are:

a. The principle of inclusion-exclusion for sets: This rule is used to count the number of integers that are divisible by both 7 and 11, and subtract them from the total number of integers that are divisible by either 7 or 11. This gives us the number of integers that are divisible by exactly one of 7 and 11.

b. The division rule: This rule is used to find the number of integers that are divisible by a certain number within a given range. For example, we can use the division rule to find the number of integers less than 1000 that are divisible by 7.

c. The product rule: This rule is used to find the number of ways two or more events can occur together. In this case, we can use the product rule to find the number of integers that are divisible by both 7 and 11.

d. The sum rule: This rule is used to find the total number of ways two or more events can occur separately. In this case, we can use the sum rule to find the total number of integers that are divisible by either 7 or 11.

By using these rules, we can find the number of positive integers less than 1000 that are divisible by exactly one of 7 and 11.

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Por lo tanto el número es p/q = 8/64.

Fracción es un número que se puede representar en forma de p/q, donde q no es igual a cero.

It is given that :

En su forma más simple, el número es 1/8

Sea el número p/q

p + q = 72 (dado)

p/q = 1/8

q = 8p

p+8p = 72

9p = 72

p = 8

q = 8p

q = 8 * 8 = 64

Por lo tanto el número es p/q = 8/64.

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In a semicircle with diameter MN and center C, points A and B are distinct points. Point P lies on CN, and we need to find the measure of angle CAP.

Consider the given semicircle with diameter MN and center C. Points A and B are distinct points on this semicircle. Point P lies on the line CN.

To find the measure of angle CAP, we need to consider the properties of angles in a semicircle. An angle inscribed in a semicircle intercepts an arc whose measure is twice the measure of the angle.

In this case, angle CAP intercepts the arc AB. Since points A and B are distinct, the arc AB is less than a semicircle. Therefore, the measure of angle CAP is half the measure of arc AB.

Since AB is a diameter, the measure of arc AB is 180 degrees. Thus, angle CAP measures half of 180 degrees, which is 90 degrees.

In conclusion, angle CAP measures 90 degrees.

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Answer:

Step-by-step explanation:

League A                   League B

151.12                            163.25

148                                157

26.83                             24.93

29                                  136

136                                145

167                                178

207                               256

League A in ascending order :

26.83 , 29 , 136, 148 , 151.12 , 167,207

\(Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{26.83+29 +136+ 148+ 151.12+ 167+207}{7}\\\\Mean =123.564\)

Median = Mid value of data

n = 7

So, mid value = 4th term

Median=148

Standard deviation=\(\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}\)=\(=\sqrt{\frac{(26.83-123.564)^2+(29-123.564)^2+.......+(207-123.564)^2}{7}}=63.98\)

To Find Q1

Q1 is the mid value of lower quartile

Lower quartile : 26.83 , 29 , 136, 148

n = 4

Q1=82.5

To Find Q3

Q3 is the mid value of upper quartile

Upper quartile : 148 , 151.12 , 167,207

n = 4

Q3=159.06

IQR = Q3-Q1=159.06-82.5=76.56

To find outlier

(Q1-1.5IQR ,Q3+1.5IQR)

\((82.5-1.5\times 76.56,159.06+1.5\times 76.56)\)

(-32.34,273.9)

So, There is no outlier

Maximum = 207

2)

League B in ascending order :

24.93,136,145,157,163.25,178,256

\(Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{24.93+136+145+157+163.25+178+256}{7}\\\\Mean =151.45\)

Median = Mid value of data

n = 7

So, mid value = 4th term

Median=157

Standard deviation=\(\sqrt{\frac{\sum(x_i-\bar{x})^2}{n}}\)=\(=\sqrt{\frac{(24.93-151.45)^2+(136-151.45)^2+.......+(256-151.45)^2}{7}}=68.42\)

To Find Q1

Q1 is the mid value of lower quartile

Lower quartile : 24.93,136,145,157

n = 4

\(Median = \frac{\frac{n}{2} \text{th term}+(\frac{n}{2}+1) \text{th term}}{2}\\Median = \frac{\frac{4}{2} \text{th term}+(\frac{4}{2}+1) \text{th term}}{2}\\Median = \frac{2 \text{th term}+3 \text{th term}}{2}\\Median = \frac{136+145}{2}=140.5\)

Q1=140.5

To Find Q3

Q3 is the mid value of upper quartile

Upper quartile : 157,163.25,178,256

n = 4

Q3=170.625

IQR = Q3-Q1=170.625-140.5=30.125

To find outlier

(Q1-1.5IQR ,Q3+1.5IQR)

\((140.5-1.5\times 30.125,170.625+1.5\times 30.125)\)

(95.3125,215.8125)

24.93 and 256 are outliers  

Maximum = 256

Your answer: B) Statistically significant and quite small MPG prediction errors
This statement best describes the regression, as it indicates that the relationship between the variables is statistically significant.

Without specific data or statistical analysis, it is impossible to accurately determine which statement best describes the regression for y = highway miles per gallon in 91 cars. However, in general, a statistically significant regression means that there is a relationship between the variables being analyzed. The error in predictions refers to the difference between the predicted value and the actual value.

Therefore, A) statistically significant but large error in the MPG predictions and B) statistically significant and quite small MPG prediction errors could both be possible outcomes depending on the specific data and analysis. C) Not quite significant, but predictions should be very good is unlikely to be a valid statement if the regression is not statistically significant.
Additionally, the small MPG prediction errors suggest that the regression model is reliable and accurate in making predictions for highway miles per gallon in the 91 cars.

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Answer:

10 is the answer

Step-by-step explanation:

6 times what equals 60?

10

Answer:

19.59 %

Step-by-step explanation:

ask what percent of 135$ will equal to 25$ to determine by how much it changed.

x% of 135 = 25$

x / 100 × 135 = 25%

x = 18.51851851851851 %

now ask what percent of 25$ results in a 0.27$ interest

x% of 25$ = 0.27$

x = 1.08 %

lastly add the total change in percentage to analyze the over all account change.

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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Answer:

Yes, but you have to write what the slope and y-intercept of the equation is as well.

Step-by-step explanation:

(Not sure if you wanted the full answer or just if you should graph it but I'm putting it here anyways :^P)

First convert the equation from standard form to slope-intercept form.

5x-3y=18 -> 5x-18-3y -> 5/3x-6=y

5/3x is the slope and 6 is the y-intercept!

Then graph the equation.

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

\(\sf \rightarrow 5x - 3y = 18\)

\(\sf \rightarrow - 3y = 18-5x\)

\(\sf \rightarrow y = \dfrac{-5x+18}{-3}\)

\(\sf \rightarrow y = \dfrac{-5x}{-3} + \dfrac{18}{-3}\)

\(\sf \rightarrow y = \dfrac{5}{3}x -6\)

comparing with y = mx + b, Here we can identify that the

x-intercept:          ( then y will be 0 )

\(\sf \hookrightarrow \dfrac{5}{3}x -6=0\)

\(\sf \hookrightarrow \dfrac{5}{3}x=6\)

\(\sf \hookrightarrow x=\dfrac{18}{5}\)

\(\sf \hookrightarrow x = 3.6\)

In order to graph the line

Graph:

You need to find a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This can be done using the extended Euclidean algorithm, and the resulting inverse is the residue of the coefficient modulo the modulus.

Finding the inverse of a modulo involves finding a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This process is important in modular arithmetic, where calculations are performed with remainders of a fixed integer modulus.

To find the inverse of a modulo, you can use the extended Euclidean algorithm, which is a method for finding the greatest common divisor of two integers.

The steps for finding the inverse of a modulo are as follows:

1. Identify the number you want to find the inverse of (let's call it "a") and the modulus (let's call it "m").

2. Use the extended Euclidean algorithm to find the greatest common divisor of "a" and "m", and the coefficients x and y such that ax + my = gcd(a,m).

3. If gcd(a,m) = 1, then "a" has an inverse modulo "m" and the inverse is given by x mod m.

4. If gcd(a,m) is not equal to 1, then "a" does not have an inverse modulo "m".

In step 3, x mod m represents the residue of x modulo m, which is the unique non-negative integer less than m that is congruent to x modulo m. In other words, it is the remainder when x is divided by m.

For example, to find the inverse of 5 modulo 7, we can use the extended Euclidean algorithm to find that 2(5) + (-1)(7) = 1. Therefore, the inverse of 5 modulo 7 is 2.

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