What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
PLS SHOW WORK

Option D is correct, the area of given parallelogram is 30 square inches

Parallelogram is a simple quadrilateral with two pairs of parallel sides.

The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Area of parallelogram =bh

=10×3

=30 square inches

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Answer:

x=3

Step-by-step explanation:

8-6x=18x

8-6x+6x=18x+6x

8=24x

x=3

Answer:

x=3

Step-by-step explanation:

First we have to get x by itself-

8-6x=18x     If you add 6x to -6x it chancels out

     +6x  +6x

8=24x        Now we have to divide by 8

/8  /8

x=3    

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Solution details:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

There are four 2s and four 4s in the deck.

Therefore, the probability of drawing one of these cards is 4/52.

Simplifying it, 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

There are four Kings in the deck, and there are 13 spades in the deck, including the King of spades.

There are four Kings, including the King of spades.

Four plus 13 equals 16 total cards.

The probability of drawing one of these cards is 16/52.

Simplifying it, 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

There are 13 hearts in the deck, and we’re assuming that you’re drawing with replacement.

As a result, the probability of drawing two hearts is (13/52) × (13/52).

Simplifying it, 169/2704.  

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Since the first ace has a probability of 4/52, or 1/13, the probability of the second ace is 3/51.

This is since one card has been removed from the deck, making it 51 instead of 52.

Multiplying the two probabilities gives us (4/52) × (3/51) or 12/2652. Simplifying it, 1/221.

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Answer:

The perimeter is 24 feet :]

hope this helps! <33

Answer:

12 feet

Step-by-step explanation:

The perimeter of a rectangle is just the sum of all the sides. There are four sides, two that represent the width, and two that are the length. Basically, the easiest way for us to find the perimeter of this shape is to add together the length and the width 2 times.

4 + 2 + 4 + 2 = 12

So, the perimeter of the mirror is 12 feet! I hope this helps! Have a lovely day!! :)

Answer:

arc ≈ 4.2 cm

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \(\frac{60}{360}\)

     = 2π × 4 × \(\frac{1}{6}\)

     = 8π × \(\frac{1}{6}\)

    = \(\frac{8\pi }{6}\)

    ≈ 4.2 cm ( to the nearest tenth )

Answer:

$16.05

Step-by-step explanation:

The question has been kind enough to provide the solution to you! It suggest multiplying her sales by 0.3 to find 30% of the total, in order to find how much money she donated to charity. To put this into practice:

53.5 * 0.3 = 16.05, which gives us our answer of $16.05.

By using iteration, we can guess the explicit formula for the given sequence. It is found that the sequence follows a quadratic pattern, and the explicit formula is dx = 3(\(2^{k-1}\)) + 3\(k^2\) - 6k + 3.

Let's start by analyzing the given sequence: dx = 2dx-1 + 3\(k^2\). We are given that d1 = 3. We can use this initial value to find d2, d3, and so on.

Substituting k = 2 into the given equation, we get d2 = 2d1 + 3(\(2^2\)) = 2(3) + 3(4) = 6 + 12 = 18.

Similarly, substituting k = 3, we get d3 = 2d2 + 3\((3^2)\) = 2(18) + 3(9) = 36 + 27 = 63.

Based on these calculations, we observe that each term in the sequence is related to the previous term by multiplying it by 2 and adding 3\(k^2\). Moreover, we notice a quadratic pattern in the sequence.

To find the explicit formula, we can express dx in terms of k:

dx = 2dx-1 + 3\(k^2\)

  = 2(2dx-2 + 3\((k-1)^2\)) + 3\(k^2\)

  = 4dx-2 + 6\((k-1)^2\)\((k-1)^2\) + 3\(k^2\).

We can continue this iteration process, expanding dx-2 in terms of dx-3, and so on. By continuing this process and simplifying the equation, we find that the explicit formula for the sequence is dx = 3(\(2^{k-1}\)) + 3\(k^2\) - 6k + 3.

In conclusion, by using iteration, we have determined that the explicit formula for the given sequence dx = 2dx-1 + 3\(k^2\), with d1 = 3, is dx = 3(\(2^{k-1}\)) + 3\(k^2\) - 6k + 3.

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Answer:

1. Move the variables to one side: 3(-4+4) = -3n

2. Distribute. You will end up with 0 = -3n

3. Divide both sides by -3. n = 0

Step-by-step explanation:

Answer:

n=0

Step-by-step explanation:

3(-4+4)+5n=2n

first distribute

-12+12+5n=2n

combine like terms

5n=2n

subtract 2n on both sides

3n=0

divide by 3 on both sides

n=0/3

which is also equal to

n=0

Answer:

undefined

Step-by-step explanation:

i think its undefined

Differentiate

\(\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)\)

\(\\ \rm\rightarrowtail 4x+9\)

f'(5):-

Option C

instantaneous rate can be found by differentiating the function.

Here,

so differentiating:

So when x = 5,

Answer:

M/paws= (3x-3) and m/rqs

=(x+19).

the value of x is

Step-by-step explanation:

Answer:

-5(x-21)(x-3)

Step-by-step explanation:

-5\(x^{2}\) + 120x - 315 = -5(\(x^{2}\) - 24x + 63)

                           = -5(\(x^{2}\) - 3x - 21x + 63)

                           = -5[x(x-3) - 21(x-3)]

                           = -5[(x-21)(x-3)]

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

Answer:

53.33% is the correct answer

The amount of interest earned from the Mega Millions winnings after 7 years of investing in the PNC Bank money market account at 6% interest every half-year is $25,218.08.

The interest rate is increased to 12% because 6% every half-year translates to 12% annually.

The compounding period is 14 semi-annual periods because in 7 years there are 14 compounding periods.

N (# of periods) = 14 semi-annual periods (7 years x 2)

I/Y (Interest per year) = 12% (6% x 2)

PV (Present Value) = $20,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $45,218.08

Total Interest = $25,218.08

Thus, from the investment of $20,000 at 6% every half- year, you earn an interest of $25,218.08.

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Answer:

Hope this helps you. Do mark me as brainliest.

The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

\(P(x) = ^nC_x p^xq^{(n-x)}\)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

As it is given that 15% of the seniors in a large high school enter military

service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,

\(q = (1-p)\\\\q = 1-0.15\\\\q=0.85\)

Now, the probability of 2 seniors out of 20 serving in the military will be,

\(P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}\)

Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.

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Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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The statement is true because if the cross product of two vectors ~u and ~v in three-dimensional space is equal to the zero vector ~0, then it implies that either ~u or ~v is equal to the zero vector ~0.

The cross product ~u × ~v produces a vector that is perpendicular (orthogonal) to both ~u and ~v. If the resulting cross product is the zero vector ~0, it means that ~u and ~v are either parallel or collinear.

If ~u and ~v are parallel or collinear, it implies that they are scalar multiples of each other. In this case, one of the vectors can be expressed as a scaled version of the other. Consequently, either ~u or ~v can be the zero vector ~0.

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Answer:

87 million

Step-by-step explanation:

Every 2 months the money increases by 18million.

45 - 27 = 18

18 + 18 + 6 = 42

45 + 42 = 87

Answer:

1. .09 repeating 2. 6 5/9

Step-by-step explanation:

to turn a fraction into a decimal you divide the top number of a fraction by the bottom one. To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator

Explanation

Given the function

We can find the value of p when f(-2 )=10 below;

Therefore, we will have;

Answer: p = -3

Answer:

When fractions have the same denominator, we say they have common denominators. Having common denominators makes things like comparing, adding, and subtracting fractions easier.

Step-by-step explanation:

Hope I helped have a good day

Also can you mark me as brainliest?? please

Answer:

Because n order to add fractions, the fractions must have a common denominator. We need the pieces of each fraction to be the same size to combine them together these two fractions have the same denominator, so the equal parts that the whole has been split into are the same size.

Step-by-step explanation:

i. c b a

ii. e d f

iii. h i g

hope this helps

now give me your brain lol

Answer:

1. (<A) > (<B) > (<C)

2. (<F) > (<D) > (<E)

3. (<H) > (<I) > (<G)

Step-by-step explanation:

The sides-angles theorem in a triangle states that the largest angle in a triangle will be opposite the largest side. One can apply this to the given set of triangles:

(1)

CB > AC > AB

4.4 > 3.1 > 2.7

(<A) > (<B) > (<C)

(2)

DE > FE > DF

(x) > (x-3) > (x-5)

(<F) > (<D) > (<E)

(3)

GI > GH > HI

(21x) > (14x) > (13x)

(<H) > (<I) > (<G)

Answer:

Step-by-step explanation:

The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.

The laterial surface area LSA is:

LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)

LSA = 4 • 8 + 5 • 8.2

LSA = 73 cm²

The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:

SA = LSA + 4 • 5

SA = 73 cm + 20 cm²

SA = 93 cm²

answer:1.935825×10 to the sixth power

step by step: your going to move the decimal point 6 places to the left. which became 1.935825x10 to the sixth power.

The production possibilities frontier (PPF) for a country is typically concave to the origin, meaning it is bowed outwards. This occurs because productive resources, such as land, labor, and physical capital, are not equally efficient in producing different goods or services.

The concave shape of the production possibilities frontier (PPF) reflects the concept of diminishing returns or increasing opportunity costs. As a country allocates more resources to the production of one good, it must sacrifice the production of other goods. However, as more resources are diverted towards a specific good, the additional output gained becomes smaller and smaller.
This occurs because not all productive resources are equally efficient in producing all goods or services. Some resources may be better suited for specific industries or have specialized skills. As a result, the PPF is bowed outwards, indicating that the opportunity cost of producing more of one good increases as the production of the other good is reduced.
In summary, the concave shape of the production possibilities frontier is a result of the varying efficiency and specialization of productive resources in different industries. This leads to increasing opportunity costs and the bowed-out nature of the PPF.

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Answer:

C) 2

Step-by-step explanation:

Mode means which number do you have the most of.  You have the most 2's.

The number of children admitted is 164 and the number of adults admitted is 195  

A linear Equation is a mathematical expression that is used to find unknown numbers. In this, we use different variables to represent the unknown number.

To find the unknown number obtain a linear equation according to the given condition and solve the equations.  

Here we have,

The admission fee for children is 1.5 dollars

The admission fee for adults is 4 dollars

On a certain day, 359 entered the park

Since we don't know the number of children and adults we will use different variables to represent them as shown below

Let x be the number of children

Let y be the number of adults

From the given data

=> x + y = 359 -----(1)

Admission fee collected for x children = 1.5 × x = 1.5x

Admission fee collected for y adults = 4 × y = 4y  

And total fee collected = 1.5x + 4y = 1026 ----(2)

To find the number of children and adults solve (1) and (2)

(1) × 1.5  => 1.5x + 1.5y = 538.5 ---- (3)  

Now do (2) - (3)

=> 1.5x + 4y - (1.5x + 1.5y)  = 1026 - 538.5

=> 1.5x + 4y - 1.5x - 1.5y  = 487. 5

=>  2.5y = 487. 5  

=>  y = 487. 5 /2 = 195

Now substitute y = 195 in (1)

=>  x + 195 = 359

=>  x = 164

Therefore,

The number of children admitted is 164 and the number of adults admitted is 195  

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Answer:

That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^

Answer:

b

Step-by-step explanation: