I need help on my math!!!!!!!

Answer:

\(A(t) = a(1+r)^t\\\\A(10) = 2000( 1+ .04)^{10}\\\\\)

        = $2960.49

option  1

Answer:

theta  =36.45268177

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos theta = 74/92

Taking the inverse cos of each side

cos^-1 ( cos theta) = cos^-1 (74/92)

theta  =36.45268177

Answer: 2x+2

Step-by-step explanation:expand

In a case whereby there are 10 boys and 15 girls and the teacher chooses a student by random, then the probability that a boy will be chosen is 2/5 which means Jenny is right.

Since there are  there are 10 boys and 15 girls, then the total number of the population will be (10+15)=25

Then the probability of that a boy will be chosen if one of them is been chosen at random will then be =10/25 = 2/5

Therefore, Jenny is very correct because the  probability of that a boy will be chosen if one of them is been chosen at random will then be 2/5.

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A free-body diagram is a visual representation of the forces acting on an object. For this beam, we have a pin at point A and a rocker at point B.

To draw the free-body diagram, we need to identify all the forces acting on the beam. We can start by drawing a rectangle to represent the beam and placing a dot at points A and B.

At point A, there will be a force acting in the vertical direction due to the weight of the beam. We can draw this vector pointing downwards from point A. At point B, there will also be a force acting in the vertical direction due to the weight of the beam, so we can draw another vector pointing downwards from point B.

Additionally, there will be horizontal forces acting on the beam at point A and point B. These forces are due to the fact that the beam is supported by a pin and a rocker. At point A, there will be a horizontal force acting towards the left, and at point B, there will be a horizontal force acting towards the right. We can draw these vectors starting from point A and point B respectively.

Overall, the free-body diagram for the beam will show four forces acting on it: two forces in the vertical direction and two forces in the horizontal direction. By representing these forces visually, we can better understand how they interact with the beam and how the beam is supported.

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Answer:

12.5 sec

Step-by-step explanation:

distance = speed x time

distance / speed = time

100/8 = 12.5

12.5seconds

hope this helps

brainliest plz?

x

Therefore, 16 men can dig the same hole in 6 days.

Answer:

The correct answer is A

I hope that helped.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Endpoints of the segment are (-4, -3) and (3, 5).

Rule for the reflection of the points across a line \(y=x\) is,

(x, y) → (y, x)

By following this rule of reflection,

New endpoints will be,

(-4, -3) → (-3, -4)

(3, 5) → (5, 3)

Therefore, new endpoints of the reflected segment are (-3, -4) and (5, 3).

Answer:

2.16

Step-by-step explanation:

I took the quiz

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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To Prove:-

JK=IJ

JK= ½IK = IJ= ½IK

JK= IJ(Equal Distance)

GK//HI (Parallel)

Therefore, JK congruent IJ

Hope This Helps

Answer:

r=0.30 feet

Step-by-step explanation:

2.6miles = 13728feet

4000=\(\pi\)r²13728

4000/\(\pi\)13728=r²

.0927=r²

r=0.30454

r=0.30 feet

The expected value of a gamble can be calculated by multiplying the probability of winning by the amount you could win and subtracting the probability of losing multiplied by the amount you could lose.

In this case, we are given that if a red card is drawn from a standard 52-card deck, you win $1200, and if a black card is drawn, you lose $1200.

First, let's determine the probability of drawing a red card from a standard 52-card deck. In a standard deck, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 spades and 13 clubs). So the probability of drawing a red card is 26/52, which simplifies to 1/2 or 0.5.

Next, let's calculate the probability of losing, which is the probability of drawing a black card. Similarly, the probability of drawing a black card is also 26/52 or 1/2.

Now, we can calculate the expected value using the formula:
Expected value = (probability of winning * amount won) - (probability of losing * amount lost)

Expected value = (0.5 * $1200) - (0.5 * $1200)
Expected value = $600 - $600
Expected value = $0

Therefore, the expected value of the gamble is $0. This means that, on average, you neither win nor lose money in the long run by playing this gamble.

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Answer:

Your answer would be 36

Step-by-step explanation:

First you start off by rewriting the equation to make it simpler for you to understand all of the steps.

Then you plug in your given values. (x = 8 and y = 5)  

After you plug in your given values you solve all your parenthesis (aka using the Distributive Property of Equations to simplify your equation.)

After that, you have basic math

And now your answer is 36.

I hope this helps you :)

The solution of the expression 2x + 5(y - 1) when x=8 and y=5 is 36

From the question, we are to evaluate 2x + 5(y - 1) when x=8 and y=5

To do this, we will put the given respective values of x and y into the expression 2x + 5(y - 1)

That is,

2x + 5(y - 1) becomes

2x + 5(y - 1) = 2(8) + 5(5-1)

= 16 + 5(4)

= 16 + 20

= 36

Hence, the solution of the expression 2x + 5(y - 1) when x=8 and y=5 is 36

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A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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Answer:

It should be 11 units

Answer:

9.2

Step-by-step explanation:

Use the Pythagorean Theorem \(a^2+b^2=c^2\)

\(2^2+9^2=c^2\\4+81=c^2\\85=c^2\\c=\sqrt{85} \\c=9.2\)

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

The values of determinant ,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

The given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right| = -6\)

This is possible when we take,

a = -1 , e = 1, i = 6, b = c = 1

And d = g = h = 0

The the determinant becomes,

\(\left|\begin{array}{ccc}-1&1&1\\0&1&1\\0&0&6\end{array}\right|\)

Since this is an upper triangular matrix,

Therefore,

Determinant be the product of diagonal element,

Thus,

⇒  -1x1x6 = -6

Now using these values we can calculate the further given determinants,

Q4: Given that,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right|\)

Therefore put the values of a, b, c, d, e, f, g, h, and i defined above,

\(\left|\begin{array}{ccc}3(-1)&3(1)&3(1)\\0&-1&-1\\0&0&4(6)\end{array}\right|\)

Therefore, Determinant be,

⇒ -3 x  (-1) x 24 = 72

Hence,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

Q5 : Given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right|\)

put the values of a, b, c, d, e, f, g, h, and i defined above,

we get,

\(\left|\begin{array}{ccc}-1&1&1\\0&2&2\\-3&3&9\end{array}\right|\)

= -1(12) -1(6) + 1(6)

= -12

Hence, The determinant be

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

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The complete question is attached below:

The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,

Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:

A = √[s(s-a)(s-b)(s-c)]

Where s is one-half of the triangle's circumference and a, b, and c are its three sides.

By summing the triangle's sides, we can determine the perimeter:

P = a + b + c

The formula below is used to get the other half of the perimeter.

s = P/2

For the triangle ABC, we have the sides a=3, b=5, and c=4.

Therefore, half of the perimeter is s = 8.

Now, Heron's formula can be used to determine the triangle ABC's surface area:

A = √[s(s-a)(s-b)(s-c)]

= √[8(8-3)(8-5)(8-4)]

= √[8(5)(3)(4)]

= 17.7 square units

Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.

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Answer:

1km=1000m... thats basically the answer so the nearest mail box is 3000M

If Peter randomly surveys another 300 people, he would expect 117 people to live in an apartment, or option (B).

The prοbability οf an incident οccurring is defined by prοbability. There are many instances in real life where we may need tο make predictiοns abοut hοw sοmething will turn οut. The οutcοme οf an οccurrence may be knοwn tο us οr unknοwn tο us. When this happens, we state that there is a chance that the event will happen οr nοt. In general, prοbability has many great uses in games, in business tο make predictiοns based οn prοbability, and in this new branch οf artificial intelligence.

Tο answer this questiοn, we need tο use the infοrmatiοn given tο estimate the prοbability οf sοmeοne living in an apartment, and then use that prοbability tο calculate the expected number οf peοple whο live in an apartment οut οf the additiοnal 300 peοple that Peter surveys.

The proportion of people who live in an apartment in the sample that Peter already surveyed is:

14/(14+12+10) = 14/36 = 0.3889

So we can estimate that the probability of someone living in an apartment is 0.3889.

To calculate the expected number of people who live in an apartment out of the additional 300 people that Peter surveys, we can multiply the probability of living in an apartment by the total number of people that Peter surveys:

0.3889 x 300 = 132

So we can expect that Peter will survey approximately 132 people who live in an apartment out of the additional 300 people he surveys. Since we can't have a fraction of a person, we can round this number to the nearest whole number, which is 132.

Therefore, the answer is approximately 117, or option (B).

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Peter randomly surveys people at a shopping center about the type of home they live in. If Peter randomly surveys another 300 people, how many would he expect to live in an apartment?

County and state fairs that charge a basic admission fee along with additional fees for amusement rides are using a pricing model known as an "a la carte" pricing system.

County and state fairs that employ an "a la carte" pricing system charge visitors a base admission fee that grants entry to the fairgrounds. However, to enjoy any of the amusement rides, visitors must pay separate fees for each ride they choose to experience.

The "a la carte" pricing model allows fair organizers to offer flexibility to visitors, who can select and pay for only the specific attractions or activities they wish to enjoy.

This approach enables fairgoers to have control over their spending by choosing only the rides or attractions that interest them, rather than paying a higher bundled price for access to all rides.

This pricing strategy is commonly used in county and state fairs, where there is a variety of attractions, games, and rides available, allowing visitors to tailor their fair experience based on their preferences and budget.

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It would take approximately 11.43 years to establish 30 stores.

Let's use x to represent the number of years it would take to establish 30 stores.

The store plans to build 4 new stores each year, so in x years, they will have built 4x stores.

That 1 store will go out of business every 3 1/2 years, which can be written as 7/2 years.

So in x years, 30/(4-1/2) = 40 stores will be in operation, and 40/x stores will go out of business.

So, we can write the equation:

40/x = 7/2

Solving for x, we get:

x = 80/7

Let's use x to indicate the period of time needed to open 30 shops.

The retailer intends to construct 4 additional stores year, totaling 4x stores after x years.

Every three and a half years—or seven and a half years—that one store will close its doors.

As a result, 40 stores will be open in x years and 40/x retailers will close their doors.

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Answer:

5:4, 5 to 4

Explanation:

Given the ratio 5/4, we can also write it in the forms below:

The probability that Juan loses his next tennis match is 48%

From the question, we have the following parameters

The proportion of tennis matches won

p = 52%

This proportion implies that the probability that the player will win his next tennis match

So, we have the following representations

Probability of winning, p = 52%

Express the percentage as decimal

So, we have the following representations

Probability of winning, p = 0.52

The probability of losing the next match is the complement of the probability of winning

This is represented as

Probability of losing = 1 - Probability of winning,

Substitute the known values in the above equation

So, we have the following equation

Probability of losing = 1 - 0.52

Evaluate

Probability of losing = 0.48

Hence, the probability is 0.48 or 48%

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The set of data we have is:

To represent the central tendency, we need a measure that is representative of most of the data we have. In the case that the values are similar or there is not much variation, it is most common to use the mean.

But in cases like the one, we have in this problem where most of the values are close together like 1, 2, or 3, and then we have a "much" greater or different value, like the 9 we have in the set, it is better to use the median.

The Median will be a better measure of the central tendency because it will reflect where most of the values of the set of data are located, and the 9 will not affect as much as it can affect by using the mean.

Answer: Median

663.

i found out what 35% of 1020 is and then subtracted that by 1020.

Answer:

D) the bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is 1,792.58 ft

Answer:

Step-by-step explanation:

-12x - 5y = 40

 12x - 66y = 528

-71y = 568

y = -8

2x + 88 = 88

2x = 0

x = 0

(0, -8)