Expand and simplify the following expression: 2x(x+3)+ 3(2x-1)+5​

Answer: 5

Step-by-step explanation:

A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.

Step-by-step explanation:

Find

Triangle A(because there are two triangles)

take 28°+39°=67°

an angle is 180° in total so you take

180°-67°=113°

Angle x = 113°

Angle y = 67°

Triangle B

64°+67° = 131°

180°-131°=49°

Angle z =49°

Answer:

A is answer

Step-by-step explanation:

please follow me

Answer:

B and C

Step-by-step explanation:

Since m and n are parallel, we can call the two lines extending from the point B transversals.

[tex]m\angle{1} = 60^\circ[/tex] because they are vertical angles

[tex]m\angle{2} = 20^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{4} = 60^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{3} = 100^\circ[/tex] because angle 2 and 4 sum to 80, and [tex]m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ[/tex] because it is a straight angle.

From this, we can see which ones are true.

A is false because angle 2 is 20 degrees.

B is true because angle 3 is 100 degrees.

C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.

D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.

Therefore, only B and C are true.

Answer:

She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.

Step-by-step explanation:

357+215=582/10=58.2  (2 is the remander and thats how I got 2 ones as well)

Answer:

120

Step-by-step explanation:

I wrote down the equation on paper and solved it

The product of the given numbers is 120.

The given expression is 1×2×3×4×5.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Here, 1×2×3×4×5 = 120

Therefore, the product of the given numbers is 120.

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Answer:

Explained below.

Step-by-step explanation:

A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.

(a)

The hypothesis can be defined as follows:

H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0

(b-1)

Use Excel to perform the t test for independent samples.

The output is attached below.

The test statistic value is, t = 7.58.

(b-2)

The degrees of freedom is, df = 58.

The critical value is, t₅₈ = 1.672.

The rejection region is:

Rejected H₀ if t > t₅₈ = 1.672.

(c)

Decision:

t = 7.58 > t₅₈ = 1.672

The null hypothesis will be rejected at 5% level of significance.

Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.

The correct option is Yes.

Answer:

Step-by-step explanation:

Comma comma comma comma

Answer:

space is scape

Step-by-step explanation:

Answer:

5.91 kilograms

591,000 centigrams

Step-by-step explanation:

These two are WRONG:

59,100 kilograms

59.1 centigrams

Answer:

B 6

Step-by-step explanation:

because 6x6 is 36

Answer:

6

Step-by-step explanation:

6×6=36 bdhdgsjsbdbd

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Probability distribution of a random variable n :

P(n) = (1 - p)^(n-1) * p

p = 0.74

P(n) = (1 - 0.74)^(n-1) * 0.74

P(n) = (0.74)0.26^n-1

Compute the probabilities that n = 1, n = 2, and n = 3.

n = 1

P(1) = (0.74)0.26^1-1

= 0.74 * 0.26^0

= 0.74

n = 2

P(2) = (0.74)0.26^2-1

= 0.74 * 0.26^1

= 0.74 * 0.26

= 0.192

n = 3

P(3) = (0.74)0.26^3-1

= 0.74 * 0.26^2

= 0.74 * 0.0676

= 0.050

Compute the probability that n ≥ 4.

P(n ≥ 4) = 1 - p(n ≤ 3)

p(n ≤ 3) ; n = 1, n = 2, n = 3

p(n = 1) = 0.74

p(n = 2) = 0.192

p(n = 3) = 0.050

P(n ≥ 4) = 1 - (0.74 + 0.192 + 0.050)

P(n ≥ 4) = 1 - 0.982

P(n ≥ 4) = 0.018

(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry?

Expected number of residents (μ) :

μ = (1 - p) / p

p = 0.74

μ = (1 - 0.74) / 0.74

μ = 0.26 / 0.74

μ = 0.35

Answer:

the third one

Step-by-step explanation:

Answer:

a) y = (x+2)/3

b) 5

Step-by-step explanation:

f^-1(x) means "f inverse of x". To find the inverse, we simply:

a ) f(x) = 3x -2

    y = 3x - 2 --> because f(x) is the same thing as y

    x = 3y - 2 --> to find the inverse, we simply just switch x and y

    x + 2 = 3y

    y = (x+2)/3

b) f^-1(13)

   f^-1(13) = [((13) + 2)/3]

   f^-1(13) = (15)/3

   f^-1(13) = 5

Answer:

About 49.09 miles a day .

Step-by-step explanation:

Answer:

y-intercept = 7

Step-by-step explanation:

y intercept is where the line meets with the y axis which is the vertical axis.

hope this helped!

Answer:

It is 7 degrees.

Step-by-step explanation:

Hope this helps! Add -7 + 14= 7

Step-by-step explanation:

The mean of a set a score is simply the average score.

  To find the mean, simply sum the individual scores and divide by the total number of scores;

  Mean of a  set of score  = [tex]\frac{Total scores}{Number of scores}[/tex]

Another way to find the mean is using:

   Mean  = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]

Multiply the frequency of each score with the score and divide by the sum of all of the frequency.

2. The median is the middle score;

 Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.

If there are two numbers find their sum and divide by 2.

Answer:

correct i think

Step-by-step explanation:

Answer:

C: up two over 1

Answer:

1. 15 to 21 = 21 - 15 / 15 = 0.4*100% = 40%

2. 12 teachers to 48 teachers = 48 - 12/48 = 0.75 * 100% = 75%

3. 80 pencil to 120 pencil = 120 - 80 / 80 = 0.5*100% = 50%

4. 40 cans to 70 cans = 70 - 40 / 70 = 0.43 * 100% = 43%

Answer:

(-3, 4)

Step-by-step explanation:

Given equation of the line is,

y - 4 = -2(x + 3)

Any point (x, y) lying on this line will satisfy the equation by substituting x and y values.

If a point (-3, a) lies on this line,

By substituting x and y coordinates in the equation,

a - 4 = -2(-3 + 3)

a - 4 = -2(0)

a - 4 = 0

a - 4 + 4 = 0 + 4

a = 4

Therefore, ordered pair shown in the picture will be,

(-3, 4)

Answer: (-3, 4)

Step-by-step explanation:

Step-by-step explanation:

4/9A = 12

A = 12×9/4

= 27

......

Answer:

9

Step-by-step explanation:

Answer:

When you barter, you must trade it for something else in order to buy something.

Step-by-step explanation:

When you barter, you must  exchange in order to buy something.

Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.

Given: A person barters

Therefore he must trade it for something else (exchange) in order to buy something.

Hence, When you barter, you must  exchange in order to buy something.

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Answer:

multiply

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

Answer:

you wrote that a bit wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

There you go :)

Hope this helped you

<3

Red

Answer:

If a function is increasing, the average rate of change between any 2 points must be positive.

If we have an increasing function, the average rate of change between any two points must always be positive.

For an increasing function f(x), we have that if:

b > a

Then:

f(b) > f(a).

Now, we define the average rate of change on an interval (a, b) as:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

In this case, because:

b > a

f(b) > f(a)

Then:

b - a > 0

f(b) - f(a) > 0.

So both numerator and denominator are positive, which implies that the quotient must be positive.

Then, if we have an increasing function, the average rate of change between any two points must always be positive.

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