Is 800 divisible by 5?
yes
no
Submit

Step-by-step explanation:

I hope the picture is clear enough.

Answer:

Ron to Bill = 67 yd

Bill to John = 30 yd

Total number of yards = 97 yd

Step-by-step explanation:

See the figure below.

Use the Pythagorean theorem to find the distance from Ron to Bill.

a² + b² = c²

60² + 30² = c²

c² = 3600 + 900

c² = 4500

c = √4500

c = 67

Ron to Bill = 67 yd

Bill to John = 30 yd

Total number of yards = 97 yd

Answer:

$254.40

Step-by-step explanation:

Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:

212(1.2)

= 254.4

So, the total bill will be $254.40

Answer:

\(\$254.40\)

Step-by-step explanation:

Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.

Original bill of $212.00:

Final bill: \(212.00\cdot 1.2=\boxed{\$254.40}\)

Step-by-step explanation:

92p = 98

divide both sides by 92

p = 98/92

=49/46

=1.0652173913

The correct answer is 1. lim(x → 0) sin x = lim(x → 0) (sin x)/x×1 = 1×1=1.

We are given the function cos x, and we are required to use only limit theorems to find the limit of sin x as x approaches 0.

Let us first recall some standard limits as follows:

lim(x → 0) (sin x)/x = 1  (basic limit)

lim(x → 0) (cos x - 1)/x = 0 (basic limit)

lim(x → 0) (1 - cos x)/x = 0 (basic limit)

lim(x → 0) sin x / x = 1 (basic limit)

lim(x → 0) (1 - cos 2x)/(sin x)^2 = 1/2 (basic limit)

lim(x → 0) (1 - cos 3x)/(sin x)^2 = 3/2 (basic limit)

Using the limit theorems, we can see that the numerator sin x can be written as sin x = sin x − sin 0 = sin x − 0, where sin 0 = 0.

So the limit of sin x as x approaches 0 can be evaluated as follows:

lim(x → 0) sin x

= lim(x → 0) (sin x − sin 0)/(x − 0)

= lim(x → 0) [(sin x − 0)/(x − 0)] × [1/(1)]

= lim(x → 0) (sin x)/x×1

The above expression is in the form lim(x → 0) (sin x)/x, which is one of the basic limits, and we know its value is equal to 1.

Therefore,

lim(x → 0) sin x = lim(x → 0) (sin x)/x×1 = 1×1=1.

To know more about limit visit:

https://brainly.com/question/12211820

#SPJ11

a) By strong induction, any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

b) By strong induction, any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

c) By strong induction, any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

Base case: For postage worth 8 cents, we can use two 4-cent stamps, which can be made using a combination of one 3-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 8, can be made from 3-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 8, we can use the induction hypothesis to make k cents using 3-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with a 5-cent stamp to get the same value. If the last stamp we added was a 5-cent stamp, we can replace it with two 3-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3-cent or 5-cent stamps.

b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

Base case: For postage worth 24 cents, we can use three 8-cent stamps, which can be made using a combination of one 7-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 24, can be made from 7-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 24, we can use the induction hypothesis to make k cents using 7-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 5-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with three 5-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 7-cent or 5-cent stamps.

c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

Base case: For postage worth 12 cents, we can use one 3-cent stamp and three 3-cent stamps, which can be made using a combination of two 7-cent stamps.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 12, can be made from 3-cent or 7-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 12, we can use the induction hypothesis to make k cents using 3-cent or 7-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with one 3-cent stamp and two 7-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3

Learn more about strong induction

brainly.com/question/30692296

#SPJ4

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

Learn more about parallelogram at: https://brainly.com/question/10744696

#SPJ1

The pooled mean standard error is a measure of the variability associated with the difference between two group means in a statistical hypothesis test with equal variances.

The pooled mean standard error is a measure of the variability or uncertainty associated with the difference between two group means in a statistical hypothesis test, where the two groups have equal variances. Specifically, it is the standard error of the difference between the means of two independent samples, calculated by combining the standard errors of the two sample means into a single estimate.

The formula for the pooled mean standard error is:

SEp = \(\sqrt{ [ (s1^2/n1) + (s2^2/n2) ]}\)

where SEp is the pooled mean standard error, s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sample sizes, and sqrt represents the square root function.

The pooled mean standard error is used in the calculation of the t-statistic in a two-sample t-test, which is used to test the hypothesis that there is a significant difference between the means of the two groups. By accounting for the variability of both groups, the pooled mean standard error provides a more accurate estimate of the standard error of the difference between the means, which in turn allows for more precise hypothesis testing.

Learn more about standard error here:

https://brainly.com/question/30667112

#SPJ4

Answer:

Yes

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers.

Answer:

Yes, it is a function.

Step-by-step explanation:

use verticle line test

because every y-value only goes to one x-value it passes a verticle line test and is a function

Answer:

1. divide 1.50 by 3 to get the unit cost of a yard

of ribbon. the ansvwer is .75.

2. you must multiply .75 by 5 to get 3.75 to find the cost of 5 ribbons

Step-by-step explanation:

final answer $30

Answer:

What do you mean by infinite amount of answers?

Step-by-step explanation:

Answer:

Hi there!

Your answers are:

As the pizza size increases, the topping price increases and the base price increases

The small pizza:

Base price: $9.49

Price per topping: $1.39

The medium pizza:

Base price: $11.49

Price per topping: $1.59

The large pizza:

Base price: $13.49

Price per topping: $1.79

The XL pizza:

Base price: $15.49

Price per topping: $1.99

Step-by-step explanation:

small:

15.05- 12.27 = 2.78 for TWO toppings

2.78/ 2 = 1.39$ per 1 topping

12.27 - 2.78 = 9.49$ for a plain pizza

medium:

17.85-14.67 = $3.18 for TWO toppings

3.18/2 = $1.59 per 1 topping

14.67- 3.18= $11.49 for plain pizza

large:

20.65-17.07= $3.58 for TWO toppings

3.58/ 2 = $1.79 per 1 topping

17.07- 3.58= $13.49 for plain pizza

xl:

23.45- 19.47= $3.98 for TWO toppings

3.98/2 = $1.99 per 1 topping

19.47- 3.98 = $15.49

I hope this makes sense! Let me know if you need clarification!

By using Dirac delta function, δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.

Here's how to show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)]

To show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)],

we can use the definition of Dirac delta function.

Dirac delta function is defined as follows:∫δ(x)dx=1and 0 if x≠0

In order to solve the given expression, we have to take the integral of both sides from negative infinity to infinity, which is given below:∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dx

To compute the left-hand side, we use a substitution u=x^2-a^2 du=2xdxWhen x=-a, u=a^2-a^2=0 and when x=a, u=a^2-a^2=0.

Therefore,-∞∫∞δ(x^2-a^2)dx=-∞∫∞δ(u)1/2adx=1/2a

Similarly, the right-hand side becomes:∫1/2a[δ(x-a)+ δ(x+a)]dx=1/2a∫δ(x-a)dx +1/2a∫δ(x+a)dx=1/2a + 1/2a=1/2a

Therefore,∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dxHence, δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)].

Next, we can show that δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ as follows:We know that cosθ = cosθ' which implies θ=θ'+2nπ or θ=-θ'-2nπ.

Therefore, c0sθ-cosθ'=c0s(θ'-2nπ)-cosθ'=c0sθ'-cosθ' = sinθ'c0sθ-sinθ'cosθ'.

We can use the following identity to simplify the above expression:c0sA-B= c0sAcosB-sinAsinB

Therefore,c0sθ-cosθ' =sinθ'c0sθ-sinθ'cosθ'=sinθ'[c0sθ-sinθ'cosθ']/sinθ' =δ(θ-θ')/sinθ'

Hence,δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.

Learn more about Dirac delta function

brainly.com/question/32558176

#SPJ11

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

Learn more about relative maximum point here:

https://brainly.com/question/32310828

#SPJ11

To have a more realistic picture of a typical salary, it is true that using multiple measures of central tendency, such as the mean, median, and mode, can provide a comprehensive understanding of the salary distribution.

When examining salaries, relying solely on one measure of central tendency may not capture the full range and distribution of salaries within a dataset. Each measure of central tendency provides different insights into the typical salary and can help paint a more realistic picture.

The mean, or average, is calculated by summing all salaries and dividing by the number of data points. It provides an overall measure of central tendency, but it can be influenced by extreme values or outliers. Therefore, it may not accurately represent a typical salary if there are a few extremely high or low salaries in the dataset.

The median is the middle value when salaries are arranged in ascending or descending order. It is less sensitive to extreme values and provides a better representation of a typical salary when there are outliers present. By identifying the middle value, it considers both higher and lower salaries, offering a more balanced view.

The mode represents the most frequently occurring salary. It can be useful when there are distinct peaks or clusters in the salary distribution. If there are multiple modes, it suggests different salary groups or categories within the dataset.

By considering multiple measures of central tendency, such as the mean, median, and mode, analysts can obtain a more comprehensive understanding of the salary distribution. This approach allows for a more realistic and nuanced picture of the typical salary, taking into account different aspects of the dataset.

Learn more about :  Realistic picture

brainly.com/question/23452565

#SPJ11

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

    = -2(16) -32-10

    = -32 -32-10

   = -74

Answer:

17

Step-by-step explanation:

Rember BODMAS. This rule states that one must work out what is in brackets first thus:

          →40 - ( 43 - 20 )

          →40 - 23            ( first work what is in brackets : 43 - 20 which is 23)

          → 17                 ( 40 - 23 is 17 )

HOPE THIS HELPED

To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

Learn more about differential equation here
https://brainly.com/question/32524608



#SPJ11

Answer:

Monthly deposit= $684.23

Step-by-step explanation:

Giving the following information:

Number of periods= 5*12= 60 months

Interest rate= (0.09/12)= 0.0075

Future value= $51,607.5

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (51,607.5*0.0075) / [(1.0075^60) - 1]

A= $684.23

Answer:

x+a

Step-by-step explanation:

Given, x>y

Adding a on both sides,

x+a > y+a

x+a is greater

Triangle XYZ = UYW

We know that the 2 triangles are similar using angles Theorem

Let us find XZ to determine UY (for confirmation):

To determine XZ, use the Pythagorean Theorem:

\(a^{2} + b^{2} = c^{2} \\ OR\\leg^{2} +leg^{2} = Hypotenuse^{2} \\24^{2} + b^{2} = 26^{2} \\576+b^{2} =676\\b^{2} =100\\b=10\)

You can see that XZ = WU

Now find UY= 26

Corresponding angles

Hope it helps!

Answer:

$2, $4, $10, $20

Step-by-step explanation:

1*2=2

2*2=4

5*2=10

10*2=20

Answer:

i dont know ask g o o g l e

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

The definition of radian is:

A radian is a unit of angle measurement such that a central angle of a circle measuring 1 radian subtends and arc of the circle whose length equals the radius if the circle.

In this case, the radius is 1 foot. Point P travels along the arc formed by an angle. When the angle is 1 radian, the arc length equals the radius of the circle, 1 foot. It is simply following the definition of radian.

Point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.

One radian is defined as the angle subtended from the centre of a circle which intercepts an arc equal in length to the radius of the circle.

Circumference of the circle = 2π(1) =2π feet.

This means point P will travel a 2π distance in a complete revolution.

A complete revolution = 360° or 2π

Hence, point P will travel a 2π distance in a complete revolution i.e. the distance point P travels is the same as the angle of revolution.

To get more about circles visit:

https://brainly.com/question/24375372

Answers: 5 mph East and 50 mph South

Reason

A velocity has two components: A speed and a direction.

The statement is false.

Investment X earns the greater amount of interest over a period of 2 years.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let's consider that Ian invests in X, then:

Principle amount, P = $6,000
Time, T = 2 Years

Rate of Interest, R = 4.5% at simple Interest = 0.045

The interest earned is:

Interest = PRT = $6,000 × 0.045 × 2 = $540

Now, consider that Ian invests in Y, then:

Principle amount, P = $6,000
Time, n = 2 Years

Rate of Interest, R = 4% at Compound Interest = 0.04

The interest earned is:

Interest = P(1+R)ⁿ - P

            = $6,000(1+0.04)² - $6,000

            = $489.6

Since $540>$489.6, therefore, Investment X earns the greater amount of interest over a period of 2 years.

Learn more about Simple Interest here:

https://brainly.com/question/2793278

#SPJ1