Use the GCF and the Distributive Property to rewrite the following expression: 24 + 27. Please I need help

Answer:

M-7

Step-by-step explanation:

"seven less than m" means you're taking 7 away from the value of m. The equation for this would simply be "M-7".

Answer:

The measure is the measure that it is you forgot the picture

Step-by-step explanation:

The required answer is 0. On solving, ∛125 - √25 we get 0.

Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a simpler form such that they cannot further be simplified. There are rules in algebra for simplifying exponents with different and same bases that we can use. Various arithmetic operations like addition, subtraction, multiplication, and division can be applied to simplify exponent algebraic expressions, exponents in fractions, and negative exponents using the laws of exponents.

Given that, ∛125 - √25 = ----- we have to simplify this equation. Let's proceed to solve this question.

= ∛125 - √25

Now, 125 = 5 × 5 × 5 = 5³ and 25 = 5 × 5 = 5²

So, we get

= ∛(5)³ - √(5)²

= 5 - 5

= 0

∴ ∛125 - √25 = 0

Therefore, on solving the given expression, we get 0.

Hence, ∛125 - √25 = 0 is the required answer,

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Answer:

Option 3 or Option 4.

Step-by-step explanation:

I have this doubt because actually, a rhombus with a right angle (one) is not necessarily a square. Some rhombuses have one right angle and are still not squares. Now, if the four angles are right, it is a square, but this only says one.

On other hand, a parallelogram with congruent diagonals isn't a square necessarily either. Rectangles have congruent diagonals and are parallelograms.

In case you only can answer with one, I'll say is option 3, hope it helps!

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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A)The pdf assigns a positive probability to each possible value of the random variable

B)The height of the graph of the equation must be greater than or equal to 0 for all possible values of the random variable.

D)The pdf represents a valid probability distribution, where the probabilities sum up to 1.

What is probability density?

Probability density refers to a concept in probability theory that is used to describe the likelihood of a continuous random variable taking on a particular value within a given range. It is associated with continuous probability distributions, where the random variable can take on any value within a specified interval.

A probability density function (pdf) is a function that describes the likelihood of a random variable taking on a specific value within a certain range. The properties of a pdf are as follows:

A. The probability that X takes on any single individual value is greater than 0. This means that the pdf assigns a positive probability to each possible value of the random variable.

B. The height of the graph of the equation must be greater than or equal to 0 for all possible values of the random variable. This ensures that the pdf is non-negative over its entire range.

C. The values of the random variable must be greater than or equal to 0. This property is not necessarily true for all pdfs, as some may have support on negative values or extend to negative infinity.

D. The total area under the graph of the equation over all possible values of the random variable must equal 1. This property ensures that the pdf represents a valid probability distribution, where the probabilities sum up to 1.

E. The graph of the probability density function may or may not be symmetric. Symmetry is not a universal property of pdfs and depends on the specific distribution.

F. The high point of the graph is not necessarily at the value of the population standard deviation, \(\sigma$.\) The location of the high point is determined by the specific distribution and is not directly related to the standard deviation.

Therefore, the correct options are A, B, and D.

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To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.

Therefore, we have:

P(z ≥ c) = 0.55

P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45

Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.

So, c = -0.126.

Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.

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Answer:

B. 73

Step-by-step explanation:

Complementary angles equal 90 degrees, while supplementary angles equal 180 degrees. Therefore, if one angle in a pair of complementary angles equals 17, you would use the equation 90-17 to find the measure of the other angle.

Answer:

B. 73

Step-by-step explanation:

The rationale that supports this statement is:

​Situational experiences are interpreted differently.

Now, According to the question:

Let's Know:

What is the Rationale of the Study?

The rationale of the study explains the reason why the study was conducted (in an article or thesis) or why the study should be conducted (in a proposal). This means the study rationale should explain to the reader or examiner why the study is/was necessary.

We know that :

There are different levels and combinations of concerns among individual students.

Hence, The rationale that supports this statement is:

​Situational experiences are interpreted differently.

In the question;

There are different levels and combinations of concerns among individual students.

what is the rationale that supports this statement?

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Answer:

J

Step-by-step explanation:

Answer:

The answer is J

Step-by-step explanation:

The letters are corresponding with each other.

The volume of the solid is 243/2 cubic units. To find the volume of the solid, we need to integrate the function z = 9 - y - x^2 over the bounded region in the first octant.

The region is bounded by the coordinate planes, so we have the limits of integration as follows:

0 ≤ x ≤ √9-y
0 ≤ y ≤ 9

The solid is bounded, so the integral will give us a finite volume:

V = ∫∫z dA, where the double integral is taken over the bounded region.

V = ∫[0,√9-y]∫[0,9] (9-y-x^2) dx dy

We can simplify the integrand by integrating with respect to x first:

V = ∫[0,9] ∫[0,√9-y] (9-y-x^2) dx dy
V = ∫[0,9] (9y - y^2 - 3(9-y)^2/2) dy
V = ∫[0,9] (-3y^2 + 54y - 243/2) dy
V = [-y^3/3 + 27y^2 - 243/2 y] [0,9]
V = 243/2

Therefore, the volume of the solid is 243/2 cubic units.

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Answer:

i think it's the same line sorry if it's wrong

The minimum sample size needed to estimate μ for the given values of c, o, and E is 100

The minimum sample size needed to estimate μ for the given values of c, o, and E is 100

We use the formula

n= (zc/E)2σ2

Where,

n = sample size

zc = The minimum sample size needed to estimate μ for the given values of c, o, and E is 100

E = margin of error

σ = standard deviation

Substituting the given values,

n= [(1.96*0.95)/1]2*5.72

n= 95.29

Therefore, the minimum sample size n equals 96 (rounded up to the nearest whole number).

The minimum sample size needed to estimate μ for the given values of c, o, and E is 100

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Answer: ( 0, -2 )

Step-by-step explanation:

y = mx + b

x + 2y = -4

2y = x - 4

_______

2          2

(y = - 2)

Answer:

(-4, 0) (0, -2)

Step-by-step explanation:

I took the K12 test I'm right guaranteed.

Answer:

If you wish to find any term (also known as the {n^{th}}n  

th

 term) in the arithmetic sequence, the arithmetic sequence formula should help you to do so. The critical step is to be able to identify or extract known values from the problem that will eventually be substituted into the formula itself.

Step-by-step explanation:

Answer:

4,050 ft^3

Step-by-step explanation:

Separate the figure into a cube and a square pyramid.

Volume of the cube (a^3):

15 x 15 x 15 = 3,375

3,375 ft^3

Volume of the square pyramid (lwh/3):

15 x 15 x 9/3 = 675

675 ft^3

Add the volumes of both figures:

675 ft^3 + 3,375 ft^3 = 4,050

The volume of the whole figure is 4,050 cubic feet.

Hope this helps!

The probability of rolling and odd number with both dice A and B is 1/4.

Probability simply means the likelihood that an event will occur on a scenario.

Since Dice A and dice B have ten sides,the numbers will be from 1 to 10. Therefore, there are 5 even numbers and 5 odd numbers.

Probability of odd number = 5/10 = 1/2

Probability of even number = 5/10 = 1/2

Probability of rolling both odd numbers will be:

= P(odd) × P(odd)

= 1/2 × 1/2

= 1/4

The probability is 1/4.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

-4.4C+1.1

Step-by-step explanation:

-5.8C+4.2-3.1+1.4C

Add the variables

-5.8C+1.4C

-4.4C

-4.4C+4.2-3.1

Subtract the numbers

4.2-3.1

1.1

-4.4C+1.1

The probability that it will rain both days is \(\frac{1}{4}\).

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = \(\frac{1}{2}\) × \(\frac{1}{2}\) = 1/4

Hence,

The probability that it will rain both days is \(\frac{1}{4}\).

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Using proportions, it is found that:

1. \(\mathbf{3 \times 10^8J}\) are present in a 1 kg mass.

2. Such a light could be powered for 0.16 years.

--------------------------------

The energy is given by:

\(E = mc = 3\times 10^8m\)

Item 1:

\(E = mc = 3\times 10^8(1) = 3 \times 10^8\)

\(\mathbf{3 \times 10^8J}\) are present in a 1 kg mass.

Item 2:

1 second - 60J

x seconds - \(3 \times 10^8J\)

\(60x = 3 \times 10^8\)

\(x = \frac{3 \times 10^8}{60}\)

\(x = 5000000\)

One year has 31536000 seconds \(365 \times 24 \times 60 \times 60 = 31536000\). How many years are 5000000 seconds?

1 year - 31536000 s

x years - 5000000s

\(3153600x = 5000000\)

\(x = \frac{5000000}{3153600}\)

\(x = 0.16\)

Such a light could be powered for 0.16 years.

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Answer:

Step-by-step explanation:

given r = 2

hence,

(2)2 - 11*2 -12=

4-22-12= -30

hence ans = -30

Answer:

The answer is 452.16 cm³.

Formula to calculate the volume of cone = V = πr²x h/3

Now r = 6 cm and h = 12cm, and value of π = 3.14

By putting the values,

V = (3.14) (6)² (12/3) = (3.14)(36)(4)

Answer:

452.39cm^3

Step-by-step explanation:

Hope this helps :-)

1. The reason why 5N+4N does not really mean to have a resultant of 9N is resultant depends on angle and direction of the vectors.

2. a. resultant = 6N

b. resultant = 2N

The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together.

1. The resultant of two vectors depends on the direction and angle between the two vectors.

2. When two vector A and B are acting in thesame direction, their resultant is calculated as;

R = A + B

R = 4+2

= 6N

When two vectors are acting opposite in direction to each other , their resultant is calculated as;

R = A - B

R = 4 -2

= 2N

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Answer:

The values are   \(x =  46 miles /hr \)

                            \(y = 4 \  miles / hr\)

Step-by-step explanation:

From the question we are told that

   The distance covered is  d =  264 miles

     The time taken is \(t_1 =  6 hours\)

     The time taken for the return trip is  \(t_2  =  5.5 \ hours\)

Generally during the trip  toward fishing spot , the velocity is mathematically represented as

     \(v_t  =  \frac{d}{t_1 } = x - y\)

=>  \(v_t  =  \frac{264}{6 } = x - y\)

=>    \(x - y  = 44 \cdots 1 \)

Generally during the  return trip  , the velocity is mathematically represented as

      \(v_r  =  \frac{d}{t_2}  =  x+ y\)

=>   \(v_r  =  \frac{264}{5.5}  =  x+ y\)

=>   \(48 =  x+ y\cdots 2\)

add equation 1 and 2

       \(2x =  92\)

=>    \(x =  46 miles /hr \)

substituting this  into  equation 1

     \( 46 - y  = 44 \cdots 1 \)

=>   \(y = 4 \  miles / hr\)

Answer:

Step-by-step explanation:

ima a braintlest

Answer:

Obtuse.

Step-by-step explanation:

If sides are a b and c, with c the longest:

c^2 = a^2 + b^2 = Right triangle

c^2 < a^2 + b^2 = Acute     ...

c^2 > a^2 + b^2 = Obtuse  ...

33^2 = 1089

25^2 = 625

9^2 = 81

625 + 81 = 706

1089 > 706 so the triangle is obtuse.

Answer:

Obtuse scalene triangle

Step-by-step explanation:

Side 1: 9 cm

Side 2: 25 cm

Side 3: 33 cm

1. Find 9 squared, 25 squared, and 33 squared:

9 squared = 81

25 squared = 625

33 squared: 1089

 Find sum of the squares of 2 smallest sides:

81 + 625 = 706

Longest Side Squared = 1089

706 < 1089

Hence, since 706 < 1089, aka sum of the squares of the smaller 2 sides < longest side squared - you have a obtuse scalene triangle

I used a triangle calculator, so yeah in advance you should probably just use one of those :)

analyze problem

5/2=3.5

8/3.5=

16/7=

2 2/7