Last month the price of a particular pen was $1.20. This month the price of the same pen is $1.50. What is the percent increase in the price of the pen

Answer:

answer is +6

Step-by-step explanation:

To find this you would need to see what all those numbers have in common for example you would need to add 6 to find the next number

and if you continue this sequence you would end up with 7 13 19 25 and so on

Answer:

1/36

Step-by-step explanation:

for a sum of 2 the only rolls you can get are

1,1

this is 1 option

so

1/36

Answer:

\(\sf Slope =\dfrac{1}{8}\)

Step-by-step explanation:

(0,2) ;  (8 ,3)

Slope:

\(\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}\)

         \(\sf = \dfrac{3-2}{8-0}\\\\=\dfrac{1}{8}\)

The given vectors are:(5,2), (-2,11), (7,-3), and (-8,-14).

The direction angle of a vector is the angle between the vector and the positive x-axis measured counterclockwise. Therefore, the direction angle of vector v = (x,y) is given by θ = tan⁻¹(y/x).a. For vector (5,2), direction angle is given by:θ = tan⁻¹(2/5) = 21.801 degrees (rounded to 3 decimal places)b.

For vector (-2,11), direction angle is given by:θ = tan⁻¹(11/-2) = 101.31 degrees (rounded to 3 decimal places)c. For vector (7,-3), direction angle is given by:θ = tan⁻¹(-3/7) = -23.198 degrees (rounded to 3 decimal places)Note that the direction angle here is negative because the vector points towards the negative x-axis.d.

For vector (-8,-14), direction angle is given by:θ = tan⁻¹(-14/-8) = 60.26 degrees (rounded to 3 decimal places)

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SOLUTION

In mathematics, a ratio indicates how many times one number contains another.

And when we write quantities in ratio form, we represent ratio with the symbol :

For example: The ratio of A to B is written mathematically as A:B

Another important thing we must note when writing ratios is to always express both quantities in their simplest form.

With the above explanation, we can proceed in answering the question.

The ratio of adults to children which is 400 to 150, can be written mathematically in ratio form as:

Final answer: The ratio of adults to children is:

Answer:

7560 cubic units

Step-by-step explanation:

10×9×7×12= 7560

Sorry if Im wrong :)

Answer:

Y=5/1 -2

Step-by-step explanation:

I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.

First, let's calculate the exponentiation inside the parentheses:

(5^(3/4))^2/3

To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:

5^((3/4) * (2/3))

When multiplying fractions, we multiply the numerators and denominators separately:

5^((3 * 2)/(4 * 3))

Simplifying further:

5^(6/12)

The numerator and denominator of the exponent can be divided by 6, which results in:

5^(1/2)

Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:

√5

Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.

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Answer:

6 and 8

Step-by-step explanation:

vertical lines yes, theyre across from each other making it vertical line

Vertical angles are the angles at the opposite sides of a transversal

The vertical angles are <6 and <8

For a pair of angles to be vertical angles, there must be a transversal line, and the two angles must be at the either sides of the transversal

This means that the following angles are vertical angles

Hence, the vertical angles are <6 and <8

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Step-by-step explanation:

y = 2x + 9

y = -x - 3

there are multiple ways to solve this.

let's follow the approach that both x-expressions must be equal :

2x +9 = -x - 3

3x = -12

x = -4

y = -x - 3 = 4 - 3 = 1

Assuming that the treasury has a total of 30 bills with values of 10 and 20 dollars and that the total value is 430. We have:

Where x is the number of 10 dollar bills and y is the number of 20 dollar bills. We can multiply the first equation by -10 and then add the two equations to solve for y.

We can replace "y" with 13 on the first equation to determine the value of "x".

The total of 10 dollar bills is 17, while the total of 20 dollar bills is 13.

we are given a ring homomorphism f: R → R' between commutative rings R and R'. We need to show that if P is a prime ideal of R' and f^(-1)(P) ≠ R, then the ideal f^(-1)(P) is a prime ideal of R.

To prove this, we first note that f^(-1)(P) is an ideal of R since it is the preimage of an ideal under a ring homomorphism. We need to show two properties of this ideal: (1) it is non-empty, and (2) it is closed under multiplication.

Since f^(-1)(P) ≠ R, there exists an element a in R such that f(a) is not in P. This means that a is in f^(-1)(P), satisfying the non-empty property.

Now, let x and y be elements in R such that their product xy is in f^(-1)(P). We want to show that at least one of x or y is in f^(-1)(P). Since xy is in f^(-1)(P), we have f(xy) = f(x)f(y) in P. Since P is a prime ideal, this implies that either f(x) or f(y) is in P.

Without loss of generality, assume f(x) is in P. Then, x is in f^(-1)(P), satisfying the closure under multiplication property.

Hence, we have shown that f^(-1)(P) is a prime ideal of R, as desired.

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A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

We have to given that;

the circumference of each circular base of a cylinder is equal to the height of the cylinder.

Now, We get;

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

Hence, As a result, the cylinder's cross section, or the form you see when you cut it perpendicular to its height, will always be round and its diameter will remain constant over the course of the cylinder's height.

Thus, A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

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Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

The constant of given expression that is  2x+4 is  4 .

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets with out specifying their real values. The fundamentals of algebra taught us the way to express an unknown cost the usage of letters which include x, y, z, and many others. these letters are referred to as here as variables. An algebraic expression may be a mixture of each variables and constants. Any cost that is positioned before and accelerated by a variable is a coefficient.

Given expression ,

2x+4

It is in the form of ax+b

where b is constant.

So, the constant of given expression that is  2x+4 is  4 .

Hence, the constant of given expression that is  2x+4 is  4 .

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Answer: π * (18/2)^2

= 3.14 * 81

= 254.34 inches

Step-by-step explanation:

Formula of circle's area: πr^2, or 3.14 * radius to the power of 2

Since the radius is diameter divided by 2, the radius is 9

So, we can do 3.14 * 9 to the power of 2, which is 81.

So the formula is 3.14 * 81, and 254.32 inches.

The difference in the dollar value of Assistantship (Stipend) between art and science fields with  standard errors is equal to 1.214.

Mean      24041.62203                 25952.36501

Sample mean difference between Assistantship (stipend) in arts and science is equal to

=  $25952.36501 - $24041.62203

= $1910.74298.

Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).

Variance        621483.0801            615193.5853

Sample size    521                             479

Standard error of the difference is,

=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]

= √[(615193.5853 / 479) + (621483.0801 / 521)]

= $49.77

t-statistic

= (sample mean difference - hypothesized mean difference) / standard error of the difference

Substitute the values into the t-statistic formula,

⇒ t-statistic = ($1910.74298 - 0) / $49.77

⇒ t-statistic = 38.39

t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.

t-statistic (38.39) > t-critical value (1.9624)

⇒Reject the null hypothesis that there is no difference in stipend between the two fields.

standard errors

= t-statistic / √(sample size)

= 38.39 / √(479 + 521)

= 38.39 /31.62

=1.214

Therefore,  the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.

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Answer:

6.2

Step-by-step explanation:

Answer:

x=2+3√2 or x=2−3√2

Step-by-step explanation:

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

Answer: z=−1.1

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

​

z-score formula

z=\frac{104-115}{10}

z=

10

104−115

​

Plug in values

z=\frac{-11}{10}

z=

10

−11

​

Subtract

z=-1.1

z=−1.1

Divide

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

The solution is, 13/78 reduced to its simplest form is 1/6.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,  13/78

now, we know that, 13*6 = 78

i.e. 13/ 13*6

=1/6

Hence, The solution is, 13/78 reduced to its simplest form is 1/6.

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The rate of change of the ball's height between 1.5 and 3 seconds.

The average rate of change of the height function of a tennis ball from t=1.5 to t=3 represents the average vertical speed of the ball over the time interval [1.5, 3] seconds.

This is because the average rate of change of a function between two points represents the slope of the line connecting the two points. In this case, the two points are (1.5, h(1.5)) and (3, h(3)), where h(t) represents the height of the ball at time t.

The slope of the line connecting these points represents the average vertical speed of the ball between t=1.5 and t=3. Therefore, the average rate of change of the height function from t=1.5 to t=3 is a measure of the ball's average vertical speed over this time interval.

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Answer:

462 ways

Step-by-step explanation:

The formula to use in solving this problem is given as the Combination formula

The Combination formula is given as

C(n , r) = nCr = n!/r! (n - r)!

We are told that a food bakery has 12 pies unsold at the end of the day which they intend to share to 6 food banks

n = 12, r = 6

In order to ensure that at least 1 food bank gets 1 pie, we have:

n - 1 = 12 - 1 = 11

r - 1 = 6 - 1 = 5

Hence,

C(11, 5) = 11C5

= 11!/ 5! ×(11 - 5)!

= 11!/5! × 6!

= (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)/ (5 × 4 × 3 × 2 × 1) ×( 6 × 5 × 4 × 3 × 2 × 1)

= 462 ways

The angle θ2 at which a second maximum occurs is approximately 1.00 degrees.

To find the angle θ2 at which a second maximum occurs, we need to use the double-slit interference equation:

dsinθ = mλ

where d is the distance between the slits, θ is the angle between the line connecting the slits and the line connecting the slits to the point on the screen, m is the order of the maximum (m = 0, 1, 2, ...), and λ is the wavelength of the light.

Since we are looking for the angle θ2 at which the second maximum occurs, we set m = 2. The distance between the slits is d = 0.10 mm, and the wavelength of the light is λ = 500 nm = 5.00 × 10^-7 m.

To find θ2, we need to solve the double-slit interference equation for θ, which gives:

θ = sin^-1(mλ/d)

Substituting the given values, we get:

θ2 = sin^-1(2 × 5.00 × 10^-7 m / 0.10 × 10^-3 m) = 0.0175 radians

To convert to degrees, we multiply by 180/π and round to three significant figures, giving:

θ2 = 1.00 degrees

Therefore, the angle θ2 at which a second maximum occurs is approximately 1.00 degrees.

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cos^2(x) - cos^4(x)

sin^2 (x) cos^2 (x) can be written as sin^2 (x) cos^2 (x) = (1-cos^2(x)) cos^2(x)Expanding (1-cos^2(x)) cos^2(x) gives - cos^4(x) + cos^2(x)Therefore, sin^2 (x) cos^2 (x) in expanded form, with no powers, parentheses or products is cos^2(x) - cos^4(x).

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Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

9514 1404 393

Answer:

  $7350

Step-by-step explanation:

The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...

  $105,000(0.84)(1/12) = $105,000(0.07) = $7,350

Your after-tax monthly income is $7350.

The approximate value of x in the equation 5 to the power of 2x=20 is 0.93

From the question, we have the following parameters that can be used in our computation:

5 to the power of 2x=20

As an expression, we have

5^(2x) = 20

Take the natural logarithm of both sides

so, we have the following representation

2x = ln(20)/ln(5)

Evaluate the quotients

This gives

2x = 1.86

So, we have

x = 0.93

Hence, the value of x is 0.93

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Divide price by quantity:

3.00 / 12 = $0.25 per can.