Write an equation in slope intercept form with the given information.
Slope = 4 and goes through point (1,8)
(Please help me)

The probability that all three dice are going to show up the same number is 1/3025.

We are going to solve this question using probability. Here, it has been given that there are three dice that show the numbers from 11 to 66. This means that one dice is going to show = 55 outcomes (i)

All three dice together are going to show = 55*55*55 = 166375 outcomes (ii)

No. of exclusive events when the dice are going to show the same number = 55 times (iii)

We know the formula = Probability of any event = \(\frac{(No. of exclusive events)}{No. of possible outcomes}\)

Using this formula and the values of (ii) and (iii), we get -

= 55/166375

= 1/3025

Therefore, upon using the formula for probability we are able to determine the probability of the three dice showing the same number.

Learn to know more about Probability on

https://brainly.com/question/29381779?referrer=searchResults

#SPJ4

Answer:

a) Surface area = 616 cm²

b) Volume = V = 1083 cm³

Step-by-step explanation:

Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm

a) Formula for surface area = Base area × 1/2(perimeter × slant height)

Base area = Base edge²

=( 16 cm)² = 256 cm²

Perimeter = Base edge × 3

= 16 cm × 3 = 48 cm

Hence:

Surface Area = 256 cm² + 1/2(48 × 15)

= 256 cm² + 360 cm²

= 616 cm²

b) Volume = 1/3 × Base area × Height

1082.758616785cm³

Approximately = 1083 cm³

In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

Know more about perimeter:

https://brainly.com/question/30252651

#SPJ11

Three consecutive integers such that the first plus 4 times the second total 210 more than the third are 52, 53, 54

Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each successive integer, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

Let the three numbers be x, x+1, x+2

As per given question,

⇒ x + 4(x + 1) + = 210 + x + 2

⇒ x + 4x + 4 = 210 + x + 2

⇒ 4x + 4 = 212

⇒ 4x = 208

⇒ x = 52

∴ The three consecutive integers will be 52, 53, 54

To learn more about consecutive integers from given link

https://brainly.com/question/12642794

#SPJ9

You need to isolate the Variable by dividing each side by Factors that don't contain the variable.

Answer : X=2

Answer:

B) Angles <2 and <6

Step-by-step explanation:

They are corresponding angles

Answer:

Options A and Option B

Step-by-step explanation:

All four sides AX, IX, IS and AS of the base are common in the four side walls of the prism.

In other words, edge AX is common in planes AXU and AXS,

Edge XI is common in planes XIB and AXS,

Edge SI is common in planes EBS and AXS,

Edge AS is common in planes CEA and AXS.

Therefore, plane AXS is intersecting planes AXU and EBS.

Options A and Option B are the correct options.

The correct answer is d. emergent.

An emergent leader is an individual who grows into the leadership role naturally, often due to circumstances or necessity. They are not appointed or assigned to the position of leadership but rather emerge from the group or organization based on their skills, qualities, or actions.

Emergent leaders may possess certain qualities or demonstrate their competence and ability to guide and influence others. They gain recognition and respect from their peers, leading to their emergence as leaders within the group or organization.

This type of leadership often occurs in situations where formal leadership structures may be absent or ineffective, and individuals step up to take charge based on their capabilities and the needs of the group.

 To learn more about group click here:brainly.com/question/14885504

#SPJ11

Answer:

1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61, 66, 71.

Answer:

the speed will be 3 meters

Step-by-step explanation:

Answer:

speed is 3m

Step-by-step explanation:

cause i did count the 3 lines so i did have the 3m and it say their is 1m per 1 line and count the line and you have 3m hope it help!!

Answer:

the answer is A

Step-by-step explanation:

The smallest equivalent fraction of the number is considered to be its simplest form.The answer is  7/3 : 21/5 = 5 : 9.

Values should now be entire numbers.By removing the denominators, convert fractions to integers.

Since the denominators of our two fractions are different, we must identify the least common denominator and rewrite our fractions using the common denominator as necessary.

LCD(7/3, 21/5) = 15

Now we have:

7/3 : 21/5 = 35/15 : 63/15

Now that the denominators of our two fractions are similar, we may multiply them both by 15 to get rid of the denominators.

Then, we have:

7/3 : 21/5 = 35 : 63

With the highest common factor, attempt to further reduce the ratio (GCF).

GCF is 7 for 35 and 63.

Divide both terms by GCF 7, then:

35 ÷ 7 = 5

63 ÷ 7 = 9

By multiplying both components by the GCF = 7, it is possible to reduce the ratio 35: 63 to its simplest terms.

35 : 63 = 5 : 9

Therefore:

7/3 : 21/5 = 5 : 9

To learn more about simplest form​ refer

https://brainly.com/question/21527775

#SPJ1

Answer:

POKEMON YEAH!

Okay, so you first want to take 2485, and subtract it from 4500, because that is the amount of money he has already collected.

4500 - 2485 = 2015

Now you need to find out how many time you can multiply 155, to get 2015, or higher. In this case, I am just gonna divide:

2015/155 = 13

It will take him 13 more weeks to have enough for the Pokemon cards!

Step-by-step explanation:

Hope it helps! =D

If the distribution of the variable upon which the mean was derived is highly skewed to the right, it may be appropriate to use the t-test if the sample size is large enough.

When conducting research, the t-test is typically used to compare the means of two groups. One of the key assumptions of the t-test is that the population from which the sample was drawn follows a normal distribution.

However, if the distribution of the variable upon which the mean was derived is highly skewed to the right, it may not meet the normality assumption.

In this case, it is appropriate to use the t-test if the sample size is large enough. The t-test is based on the central limit theorem, which states that the sample mean tends to follow a normal distribution as the sample size increases, even if the population distribution is not normal. For large sample sizes (typically n > 30), the t-test is generally considered to be robust to violations of the normality assumption.

However, if the sample size is small, the t-test may not be appropriate, even if the sample mean follows a normal distribution. In this case, alternative statistical tests may be more appropriate. For example, the Wilcoxon rank-sum test can be used to compare the means of two groups when the normality assumption is not met.

In conclusion, if the sample size is small, alternative statistical tests may be more appropriate.

Learn more about variable at: brainly.com/question/15078630

#SPJ11

Answer:

C. y = x + 2

Step-by-step explanation:

2 is being added onto both sides

The activation energy of the reaction is approximately 126.8 kJ/mol. The calculation was done using the Arrhenius equation and the natural logarithm of the rate constants at the two temperatures.

To calculate the activation energy of a reaction, we can use the Arrhenius equation:

k = A * e⁽⁻ᴱᵃ/ᴿᵀ⁾

where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.

We have two rate constants at different temperatures, so we can set up two equations:

k₁ = A * e⁽⁻ᴱᵃ/ᴿᵀ₁⁾

k₂ = A * e⁽⁻ᴱᵃ/ᴿᵀ₂⁾

We want to solve for Ea, so we can take the natural logarithm of both sides of each equation:

ln(k₁) = ln(A) - Ea/RT₁

ln(k₂) = ln(A) - Ea/RT₂

We can subtract the second equation from the first to eliminate ln(A):

ln(k₁) - ln(k₂) = Ea/R * (1/T₂ - 1/T₁)

Now we can solve for Ea:

Ea = -R * (ln(k₁) - ln(k₂)) / (1/T₂ - 1/T₁)

Plugging in the given values, we get:

Ea = -8.314 J/mol/K * (ln(6.20 x 10⁻⁴) - ln(2.39 x 10⁻²)) / (1/760 K - 1/700 K)

Ea ≈ 126.8 kJ/mol

Therefore, the activation energy of the reaction is approximately 126.8 kJ/mol.

Learn more about logarithms here: brainly.com/question/30085872

#SPJ4

Let X and Y be two matrices in A. We can write X = ((x,0),(0,y)) and Y = ((z,0),(0,w)). If we add X and Y, we get((x+z,0),(0,y+w)). The sum is in A if and only if x+z+y+w=5.

Subset of M2x2:A subset of M2x2 is a set that contains some elements of M2x2.

A subset of M2x2 can be considered as a subspace if it meets the following conditions:

To determine if A is a subspace of M2x2, we need to verify that A meets the following conditions:

for such more questions on subset matrices

https://brainly.com/question/18372058

#SPJ11

Answer:

d

Step-by-step explanation:

The value of the modulus function is y = | x | - k , and as x increases , the value of y decreases and then increases

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the modulus function be represented as A

Now , the value of A is

y = | x | - k

where k is the factor of diminish

Now , when k = 4

The value of the modulus function is y = | x | - 4 and the graph is plotted

And , as x increases , the the value of y decreases and then increases

So , If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Hence , the modulus function is y = | x | - k

To learn more about modulus function click :

https://brainly.com/question/13682596

#SPJ7

Answer:

$0.99 it will for 1 donut

Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

Answer:

Inequality form:

x >2

Step-by-step explanation:

I pretty sure this is the answer.

Have a great day!

The approximate solution of x in log eˣ ⁻ ³ = 7 is 16

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

log eˣ ⁻ ³ = 7

This can be expressed as

(x - 3)log(e) = 7

Divide both sides of the equation by log(e)

So, we have

x - 3 = 7/log(e)

Evaluate the quotient and approximate

x - 3 = 16

Add 3 to both sides of the equation

x = 19

This means that the approximate solution of x in log eˣ ⁻ ³ = 7 is 16

Read more about logarithm at

https://brainly.com/question/28041634

#SPJ1

Complete question

What is the solution to log eˣ ⁻ ³ = 7

Answer:

Subracting = 1/15 .  Adding = 11/15

Step-by-step explanation:

Subtracting

2/5 - 1/3

The denominators must be the same, so convert both to 15

Multiply the denominator up to 15, along with using the same multiplier for the numerator

6/15 - 5/15 = 1/15

Adding

2/5 - 1/3

6/15 + 5/15 = 11/15

Corollary 5.3 states that if f(x) and g(x) are two functions in C[-π, π] and {φn(x)} is an orthonormal set,

Then:

∫[-π,π] f(x)g(x) dx = ∑n=1^∞ a_n b_n,

where

a_n = ∫[-π,π] f(x) φn(x) dx

b_n = ∫[-π,π] g(x) φn(x) dx.

In this problem, we have:

f(x) = 3 cos x + 2 sin x

g(x) = cos x - sin x

φ1(x) = cos x

φ2(x) = sin x

Since {cos x, sin x} is an orthonormal set, we have:

∫[-π,π] cos x cos x dx = ∫[-π,π] sin x sin x dx = ∫[-π,π] cos x sin x dx = 0

∫[-π,π] cos x cos x dx = ∫[-π,π] sin x sin x dx = π

Using the formula for a_n and b_n, we have:

a1 = ∫[-π,π] f(x) cos x dx = 3∫[-π,π] cos^2 x dx + 2∫[-π,π] cos x sin x dx = 3π

a2 = ∫[-π,π] f(x) sin x dx = 2∫[-π,π] sin^2 x dx + 3∫[-π,π] cos x sin x dx = 0

b1 = ∫[-π,π] g(x) cos x dx = ∫[-π,π] cos^2 x dx - ∫[-π,π] cos x sin x dx = π/2

b2 = ∫[-π,π] g(x) sin x dx = -∫[-π,π] sin x cos x dx + ∫[-π,π] sin^2 x dx = -π/2

Therefore,

∫[-π,π] f(x) g(x) dx = a1 b1 + a2 b2 = 3π/2 - π/2 = π.

Hence, ∫[-π,π] f(x) g(x) dx = π.

Learn more about orthonormal here:

https://brainly.com/question/31992754\

#SPJ11

Answer:

1.7815

Step-by-step explanation:

The radius of convergence is 0 and the interval of convergence is [1 / 8].

What is radius of convergence?

The power series will converge for |x - a| R and diverge for |x - a| >. This number is known as the radius of convergence ("R").

As per question,

The series is given by infinity ∑ (n = 1) n!(8x - 1)ⁿ

By ratio test:

\(\lim_{n \to \infty} U(n+1) / Un\)

Substitute values as follows:

= \(\lim_{n \to \infty} ((n+1)!(8x-1)^n^+^1) / (n!(8x-1)^n )\)

= \(\lim_{n \to \infty} (n+1)(8x-1)\)

For all x ≠ 1 / 8 this limit is ∞.

Hence, the radius of convergence is 0 and the interval of convergence is [1 / 8].

To learn more about radius of convergence from the given link.

https://brainly.com/question/30114464

#SPJ4

The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

Learn more about fraction here:

https://brainly.com/question/28699958

#SPJ1

(a) The resulting angular speed ωf of the guard and merry-go-round can be calculated using the principle of conservation of angular momentum.

The new angular speed ωf can be expressed as ωf = ωi/(1 + 4m/9M), where M is the mass of the merry-go-round. Thus, the resulting angular speed is inversely proportional to the sum of the rotational inertia of the system and the square of the distance of the guard from the center.

As the guard moves closer to the center, the rotational inertia of the system decreases, resulting in an increase in angular speed.

(b) To find the work done by the security guard on the merry-go-round, we use the work-energy principle.

The work done is equal to the change in kinetic energy of the system, which is given by (1/2)Iω^2, where I is the rotational inertia and ω is the angular speed. Initially, the kinetic energy of the system is (1/2)Iωi^2. After the guard moves, the new kinetic energy of the system is (1/2)I'ωf^2, where I' is the new rotational inertia of the system and ωf is the new angular speed.

Thus, the work done by the guard is given by W = (1/2)I'ωf^2 - (1/2)Iωi^2.

Substituting the values of I', ωf, and simplifying the expression,

we get W = (2mR^2/9)[(ωi^2/2)(1 - 1/(1 + 4m/9M)^2)].

Therefore, the work done by the security guard is proportional to the square of the initial angular speed of the merry-go-round and inversely proportional to the sum of the rotational inertia of the system and the square of the distance of the guard from the center. As the guard moves closer to the center, the work done by him decreases.

Learn more about proportions here: brainly.com/question/29774220.

#SPJ11

Most of the kinetic energy of the water is transferred into the water, then the thermal energy will increase. Hence, option C is correct.

Kinetic energy is the term used in physics to describe the force that a moving item has. It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except variations in speed, the body retains the kinetic energy it gains during acceleration.

The body uses exactly the same amount of energy when slowing down from its current rate to a state of rest. Formally, kinetic energy refers to any term in a system's Lagrangian that has a derivative with respect to time.

As per the given information in the question,

When the kinetic energy of the diver is transferred into the water, the thermal energy will increase.

The entity's thermal energy grows as the average kinetic energies of its particles rise. As a result, an object's thermal energy rises as its temperature does.

To know more about Kinetic energy:

https://brainly.com/question/26472013

#SPJ1