your cousin has $156.34 in his bank-
account. He withdraws $15.50 one day
and B 6.75 the next day how much
money is in his bank accout now ?

Answer:

We can simplify each term in the polynomials and then perform the subtraction:

(3^5 + 8^3) − (7^2 − 6^3)

= 243 + 512 − 49 + 216

= 752 - 33

= 719

So, (3^5 + 8^3) − (7^2 − 6^3) = 719

Hello! :3

Correct Answer: 716

The answer below is incorrect! solved with 3^3 instead of 3^5! OOPS!!!

Hope this helps! :)

In a class of 50 students, there are 365! / 315! ways that no two students will have the same birth date.

The total number of outcomes of two or more independent events equals the product of the number of outcomes of each individual event, according to this concept. A youngster, for example, who chooses six flavors of ice cream and three types of cones will have 6 x 3 = 18 distinct icecream options. According to the fundamental counting principle, if there are p ways to do one thing and q ways to do another, then there are pq ways to accomplish both.

Here,

There are 365 ways to choose the first student's birth date, 364 ways to choose the second student's birth date (since it can't be the same as the first student's), and so on, down to 316 ways to choose the 50th student's birth date (since it can't be the same as any of the first 49 students' birth dates).

So, the number of ways to choose the birth dates of 50 students so that no two are the same is,

= 365 × 364 × ... × 316

= 365! / (365 - 50)!

= 365! / 315!

There are 365! / 315! ways that no two students will have the same birth date in a class of size 50.

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Answer:

7.5°

Step-by-step explanation:

The sum of the exterior angles of any polygon is always 360 degrees. For a regular polygon with n sides, each exterior angle measures 360 degrees divided by n.

In this case, the polygon has 48 sides, so:

Each exterior angle = 360 degrees / 48 = 7.5 degrees

Therefore, the measure of an exterior angle of a regular 48-gon is 7.5 degrees.

Answer:

The exterior angle of a polygon is the angle between any side of the polygon and an extended line from the next side. For a regular 48-gon, each internal angle measures 360°/48 = 7.5°. Therefore, its exterior angle also measures 7.5°.

Answer:

8.5 hours

Step-by-step explanation:

30 mins per page ( 15 )

so, 30 × 15 = 450

each hour is 60 minutes so 450 ÷ 60 = 7.5

then add the 1 hour that she already took to write the outline, so 8.5 hrs

Answer: y=mx+b = y=30(15)+1

Explanation: the slope is 30 because that's how many minutes it will take her to write each page and x will be the amount of pages she is doing as b is the 1 hour she spent doing her outline. (Hope this helped if I'm incorrect I'm so sorry, I'm tired)

Answer: 12,000 \(mi^{2}\)

Step-by-step explanation:

30,000 x 2/5 (0.4 in decimal form) = 12,000

Answer:  12000 miles

Step-by-step explanation:

30000*2/5 = 12000 miles

Answer:

b

Step-by-step explanation:

n hc l

a n w t

yan lng po Ang Alam k

line segment PF represents the distance from point P to the focus point F on the parabola, while line segment PD represents the perpendicular distance from point P to line d.

Given a point P on a parabola, we are instructed to draw line segment PF and find a point D on line d such that line segment PD is perpendicular to line d.

Let's consider the relationship between line segment PF and line segment PD.

When we draw line segment PF on the parabola, it represents the distance between point P and a fixed focus point F on the parabola. In a parabola, the focus point is located at a specific distance from the vertex.

Now, we are instructed to find a point D on line d such that line segment PD is perpendicular to line d. This means that line segment PD will intersect line d at a right angle, forming a perpendicular relationship.

In a parabola, the line passing through the vertex and the focus point is called the axis of symmetry. Line d is likely to be parallel to the axis of symmetry. When line segment PD is perpendicular to line d, it implies that line segment PD is perpendicular to the axis of symmetry as well.

The relationship between line segment PF and line segment PD is that PF represents the distance from the point P to the focus F on the parabola, while PD represents the perpendicular distance from the point P to line d.

In summary, line segment PF represents the distance from point P to the focus point F on the parabola, while line segment PD represents the perpendicular distance from point P to line d.

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The correct option is d. None of these, as the area of the region bounded by the given line, the x-axis, and the ordinates x = -1 and x = 1 is 0

To find the area of the region bounded by the line y = 3x + 2, the x-axis, and the ordinates x = -1 and x = 1, we can use the definite integral.

The area is given by the integral of the absolute value of the function:

A = ∫[a,b] |f(x)| dx

In this case, a = -1, b = 1, and f(x) = 3x + 2.

So, the area A is:

A = ∫[-1,1] |3x + 2| dx

To evaluate this integral, we can split it into two parts based on the sign of (3x + 2) within the interval [-1,1].

When 3x + 2 ≥ 0 (i.e., 3x + 2 ≥ 0), the absolute value is not needed:

∫[-1,1] (3x + 2) dx

Integrating (3x + 2) within the interval [-1,1]:

∫[-1,1] (3x + 2) dx = [3/2 * x^2 + 2x] [-1,1] = (3/2 + 2) - (-3/2 + 2) = 4

When 3x + 2 < 0 (i.e., 3x + 2 < 0), we need to take the negative value of (3x + 2) inside the absolute value:

∫[-1,1] -(3x + 2) dx = -∫[-1,1] (3x + 2) dx = -4

Therefore, the total area is:

A = 4 + (-4) = 0

Thus, the correct option is d. None of these, as the area of the region bounded by the given line, the x-axis, and the ordinates x = -1 and x = 1 is 0

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Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.

Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.

Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.

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DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. Designs of experiments (DOE) is a statistical technique used in Six Sigma to collect, analyze, and interpret data.

It is a structured and organized method for determining whether there is a statistical correlation between two variables. DOE helps in identifying potential reliability problems and weaknesses in a product or process by systematically varying the factors and observing their impact on the output.

Productivity is a measure that broadly defines the efficiency of a process or system. It is calculated by dividing the output by the input. On the other hand, the quality-productivity ratio refers to the relationship between the quality and productivity of a product or process. It can be represented by the ratio of quality cost divided by production cost or the ratio of yield divided by total planned units.

In summary, DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. The quality-productivity ratio assesses the relationship between quality and productivity by considering factors such as quality cost, production cost, and yield.

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Answer:

The expression equivalent to 3( x - 9) Is

3(x) - 3(9)

3x-27

3(x)-3(9)= 3x-27

There is an error in the sentence.

Paul Ecke, a flower grower, and hybridizer earned the nickname "Mr. Poinsettia" after creating new types of the plant and establishing it as a living Christmas emblem.

The reasoning behind Correct Answer C:

This sentence contains a mistake at (C), where there are too many words. The word "by" is superfluous.

The reason was given for Wrong Answer A:

Nothing is wrong here (A). The verb "becoming" in the past tense correctly indicates that Mr. Ecke only earned the title "Mr. Poinsettia" after creating "new variations of the flower."

The reason was given for Wrong Answer B:

Nothing is wrong here (B). Paul Ecke, the sentence's subject, is correctly modified by the adverb "known."

Justification for Wrong Answer D:

There is no mistake here (D). A suitable idiom is produced when the preposition "as" is combined with the noun phrase "a living symbol."

Justification for Wrong Answer E:

There is an error in the given statement.

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Answer:

35

Step-by-step explanation:

If I am not correct I'm sorry.

If Ryan can eat 14 hot dogs in 6 min then he should be able to eat about 35 hot dogs in 15 mins.

14/6= 2.333...

so 2.333... x 15 would equal 35

I hope this helps.

Answer:

Ryan can eat about 34.5  hot dogs in 15 minutes

Step-by-step explanation:

You first need to find how many hot dogs ryan eats in one minute. By doing this you need to do 14 divided by 6 and that will get you to 2.3

Than you need to take that 2.3 and muliply it by the 15 minutes and than that would get you to your answer of 34.5 hotdogs in 15 minutes

I hope this helped!

Answer:

6 granite, 3 marble, 14 sandstone, 1 slate

ratio of sandstone to marble

how many sandstone does she have .....14

how many marble does she have......3

so the ratio would be 14:3

Answer:

C. 14:3

Step-by-step explanation:

Dana has 14 pieces of sandstone.

Dana has 3 pieces of marble.

The ratio of pieces of sandstone to pieces of marble is 14:3.

The ratio cannot be simplified further.

not sure but i thibj the second one

Steps 1, 2, 3, and 4 are distributive prοperties, subtractiοn, additiοn, and divisiοn respectively.

The prοcess in mathematics tο οperate and interpret the functiοn tο make the functiοn οr expressiοn simple οr mοre understandable is called simplifying and the prοcess is called simplificatiοn.

Here,

-2(5x + 8) = 14 + 6x

Step 1  

-10x -16 = 14 + 6x

distributive prοperty

distribute -2 in the parenthesis tο 5x and 8

Step 2

-16x - 16 = 14

subtractiοn

subtractiοn οf -6x

Step 3

-16x = 30

Additiοn οf 16

Step 4

x = -30/16

divisiοn οf -16

x = -15 / 8

Thus, Steps 1, 2, 3, and 4 are distributive prοperties, subtractiοn, additiοn, and divisiοn respectively.

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The capacity of a cuboidal tank with dimensions 5m x 6m x 2m is 60 cubic meters, representing the amount of space inside the tank.



To find the capacity of a cuboidal tank, you need to multiply its length, breadth, and height. In this case, the length of the tank is 5 meters, the breadth is 6 meters, and the height is 2 meters.

The formula for the capacity of a cuboidal tank is:

Capacity = Length × Breadth × Height

Plugging in the given values, we have:

Capacity = 5m × 6m × 2m

Simplifying the expression, we get:

Capacity = 60 cubic meters

Therefore, the capacity of the cuboidal tank is 60 cubic meters. This means that the tank can hold 60 cubic meters of liquid or any other substance. It's important to note that the capacity of the tank is a measure of volume, which represents the amount of space inside the tank.

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Answer:

y=-17

Step-by-step explanation:

y=kx

20.4=k6

k=3.4

y=3.4(-5)

y=-17

Answer:

D

Step-by-step explanation:

Just go 4 units left for the x value and 2 units up for the y value

True. A pie chart is a segmented circle that represents different categories and their relative sizes based on a numerical variable.

A pie chart is a circular statistical graphic divided into sectors, or "slices," which correspond to different categories or groups. The size of each sector is proportional to the value it represents within the given numerical variable. The chart is named after its resemblance to a sliced pie, with each slice representing a portion or percentage of the whole. Pie charts are commonly used to display data with discrete categories, such as survey results, market shares, or budget allocations. The length of each sector's arc is determined by the magnitude of the data it represents, allowing for easy visual comparison between categories. The whole pie represents 100% or the total of the variable being measured. By examining the relative sizes of the sectors, one can quickly understand the distribution and proportions of the categories being represented. Therefore, it is accurate to say that a pie chart is a segmented circle that portrays the categories and their relative sizes based on a numerical variable.

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The value of the trigonometry expression sin(78)cos(18) - cos(78)sin(18) is √3/2

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

sin(78)cos(18) - cos(78)sin(18)

Using the law of sines, we have

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

using the above as a guide, we have the following:

sin(78)cos(18) - cos(78)sin(18) = sin(78 - 18)

Evaluate

sin(78)cos(18) - cos(78)sin(18) = sin(60)

When evaluated, we have

sin(78)cos(18) - cos(78)sin(18) = √3/2

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Question

Find the value of sin(78)cos(18) - cos(78)sin(18)  by without using table or calculator

Answer:

-6 2/3

Step-by-step explanation:

Won't waste your time with an explanation since this is a multiple choice question.

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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Answer:

ssorry i am 2ncd grade

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

\(\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}\)

\(\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}\)

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

\(\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}\)

2 = \(\frac{34}{x-8}\)

x - 8 = \(\frac{34}{2}\)

x - 8 = 17

x = 17 + 8

x = 25

Answer

It is C.

Step-by-step explanation:

because you must multiply the 12 to both the A and the B. Hope this helps. Good luck!

To determine the variance of a geometric random variable X with parameter p, we can use the conditional variance formula.

The formula for the variance of a geometric random variable is given by:

Var(X) = (1 - p) / (p^2)

Where p is the parameter of the geometric distribution, representing the probability of success on each trial.

This formula assumes that the random variable X represents the number of trials required until the first success in a sequence of independent Bernoulli trials, where each trial has a probability of success p.

By plugging in the value of p into the formula, you can calculate the variance of the geometric random variable X.

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The sample ratio of defective batteries to total batteries in the shipment is 5%

A sample ratio if a fraction of a total part of a quantity. It can be expressed either in ratio or percent.

From the question,

total number of batteries in the shipment = 500

Sample size = 60

fraction of sample size  = 500/ 60

                                                25/ 3

Number of defective batteries in the sample size = 3

The number of defective batteries in total shipment = 25/3 x 3

                                                                    = 25

Sample ratio of defective batteries to total batteries = 25/ 500 * 100%

                                                                           = 5%

The Sample ratio of defective batteries to total batteries in the shipment is 5%.

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Step-by-step explanation:

Given that,

The dosage of Benadryl for Dog is \(11\dfrac{5}{8}\ mg\)

Weight of Joel's Dog is \(15\dfrac{1}{2}\ \text{pounds}\)

(a)  Benadryl dosage per pound for Joel’s dog is calculated as :

\(\dfrac{11\dfrac{5}{8}}{15\dfrac{1}{2}}=\dfrac{\dfrac{11\times 8+5}{8}}{\dfrac{15\times 2+1}{2}}\\\\=\dfrac{\dfrac{93}{8}}{\dfrac{31}{2}}\\\\=\dfrac{93}{8}\times \dfrac{2}{31}\\\\=0.75\ \text{dosage per pound}\)

(b) If the weight of the Dog is 12 pounds, it means

\(\dfrac{11\dfrac{5}{8}}{12}\ \text{dosage per pounds}\\\\=\dfrac{\dfrac{93}{8}}{12}\\\\=\dfrac{93}{8}\times \dfrac{1}{12}\\\\=0.968\ \text{dosage per pounds}\)

Therefore, this is the required solution.