Re write this expression 4(6 x +12)

Answer:

Robert can read the books in 129,600 different ways.

Step-by-step explanation:

The order in which the book are read is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Top shelf:

4 books from a set of 6. So

[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]

Middle shelf:

2 books from a set of 3. So

[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]

Bottom shelf:

3 books from a set of 6. So

[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]

Total:

360*3*120 = 129,600

Robert can read the books in 129,600 different ways.

Answer:

f(x) = -4x² - 24x - 38

Step-by-step explanation:

f(x )= -4(x + 3)² – 2

Expand the squared term

f(x) = -4 (x² + 6x + 9) - 2

Distribute the -4

f(x) = (-4x² - 24x - 36) - 2

Combine like terms

f(x) = -4x² - 24x - 38

Answer:

5/64

Step-by-step explanation:

numerators 1 time 5 is 5 and denominators 8 times 8 is 64;  5/64

Answer:

the first one

Step-by-step explanation:

The problem says that the plot must have a maximum of 44, which means the most right dot must be on the 44 mark. All the graphs fit this requirement (the dashes are in increments of 2) The problem says that it must have an upper quartile of 39, which means the line closest to the maximum dot must be on the 39 mark. Graphs 2 and 3 do not meet this requirement, so they are eliminated. The last requirement is the median of 25. The median is represented by the middle line in the middle of the boxes. Graph 4 does not fit this requirement, so it is eliminated. Thus, only the first graph follows all 3 requirements.

Answer:

4.5

Step-by-step explanation:

The equation of an area of a circle is A=πr² where r is the radius.

The radius is also half the diameter. So the radius of the quarter is 1.2

A=π(1.2)²

A=π(1.44)

A=4.52389

Answer:

4.5 answer is on the picture below. :) Thank you!

Step-by-step explanation:

Proof...

Answer:

Option B

Step-by-step explanation:

To calculate the rate of the table is given by the expression,

Rate = [tex]\frac{\triangle y}{\triangle x}[/tex]

For table A,

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    2             10                 -                       -              -

    3             15           15 - 10 = 5        3 - 2 = 1      [tex]\frac{5}{1}=5[/tex]

    5             20          20 - 15 = 5       5 - 3 = 2     [tex]\frac{5}{2}=2.5[/tex]

    8             25          25 - 20 = 5      8 - 5 = 3     [tex]\frac{5}{3}=1.67[/tex]

Therefore, rate is not constant in this table.

For table B

    x              y                 [tex]\triangle y[/tex]                   [tex]\triangle x[/tex]          [tex]\frac{\triangle y}{\triangle x}[/tex]

    3              9                 -                       -              -

    5             15           15 - 9 = 6        3 - 5 = 2      [tex]\frac{6}{2}=3[/tex]

    8             24          24 - 15 = 9       8 - 5 = 3     [tex]\frac{9}{3}=3[/tex]

   10             30          30 - 24 = 6     10 - 8 = 2     [tex]\frac{6}{2}=3[/tex]

Therefore, table B shows a constant rate of 3.

Option B is the correct option.

Answer:

66°

Step-by-step explanation:

When a radius(diameter in this case) is perpendicular to a chord, it bisects the chord and the arc formed by the chord. Because of this, we can say mHJ is equal to mKJ. We can write an equation:

mHJ = mKJ

and substitute:

x + 20 = 6x - 45

20 = 5x - 45

65 = 5x

x = 13

mHK is the sum of mHJ and mKJ, we can write mHK as the expression:

x + 20 + 6x - 45

7x - 25

We can substitute x:

7(13) - 25

91 - 25

66°

Answer:

54 degrees

Step-by-step explanation:

The total degree of a triangle is 180. Since it is a right angle, one of the angles is 90 degrees. The equation is, 36+90+x=180. You should then get 54 degrees.

∠1 and ∠2 are equal angles as the lie on same side of transversal, are on parallel lines and are corresponding to each other

thank you

Answer:

A. 13

Step-by-step explanation:

The non-vertex angles of a kite are always congruent. Therefore,

m<X = m<Z = 102°

Sum of all angels of a kite = 360°

Thus:

m<X + m<Y + m<Z + m<W = 360°

Substitute

102 + (5x - 4) + 102 + (7x + 4) = 360

102 + 5x - 4 + 102 + 7x + 4 = 360

Add like terms

204 + 12x = 360

12x = 360 - 204

12x = 156

x = 156/12

x = 13

Answer:

-30x+147= -171-24x

+24x                +24x

-6x+147= -171

     -147   -147

       -6x= -318

           x=53

Hope this helps!

Answer:

[tex]-5(3m+5)[/tex]

Step-by-step explanation:

Factor by grouping:

'-5' is a common factor.

Factoring out '-5'....

[tex]-15m-25\\\\\boxed{-5(3m+5)}[/tex]

Hope this helps.

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Answer:

There were 80 pieces of colored paper in the package.

Step-by-step explanation:

Given that a package of colored paper contains 20 pieces of yellow paper, and this represents 25% of the total pieces of colored paper in the package, to determine how many total pieces of colored paper are in the package, the following calculation must be performed:

25 = 20

100 = X

100 x 20/25 = X

2,000 / 25 = X

80 = X

Therefore, there were 80 pieces of colored paper in the package.

Answer:

12

Step-by-step explanation:

So we would expect both spinners to land on blue once, approximately.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur. The closer the probability is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely it is to occur.

Here,

To solve this problem, we can use the multiplication rule of probability, which states that the probability of two independent events A and B occurring together is equal to the product of their individual probabilities:

P(A and B) = P(A) × P(B)

In this case, we want to find the number of times both spinners land on blue, which is equivalent to the probability that spinner A lands on blue (0.5) multiplied by the probability that spinner B lands on blue (0.4), because the events are assumed to be independent. Therefore:

P(both blue) = P(A blue) × P(B blue) = 0.5 × 0.4 = 0.2

This means that the probability of both spinners landing on blue is 0.2, or 20%.

To estimate the number of times both spinners land on blue out of a certain number of trials, we can use the expected value of a binomial distribution, which is given by:

E(X) = n × p

where X is the random variable representing the number of successes (in this case, both spinners landing on blue), n is the number of trials, and p is the probability of success (0.2 in this case).

We are given that the number of times both spinners land on red is 84, which is equivalent to the number of trials minus the number of times both spinners land on blue. Let's denote the number of trials as n. Then we have:

n - 84 = number of times both spinners land on blue

Substituting the values we have found, we get:

n - 84 = 0.2n

Simplifying and solving for n, we get:

0.8n = 84

n = 105

Therefore, the estimated number of times both spinners land on blue out of 105 trials is: number of times both spinners land on blue

= 0.2 × 105 - 84 ≈ 1

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Answer:

the awnser is 54.9 ( mark as best awnser )

Answer:

0.39

Step-by-step explanation:

think about it this way, if you take away the decimal it would be 39 and 04. 04 is another way to write 4 and  4 is less than 39. so 0.04 is less than 0.39

Answer:

0.04 > - 0.39

Step-by-step explanation:

0.04 > - 0.39

3 feet in a yard... 12x3 = 36...... 36+36+36 =108 inches

108 divided by 6 is 18 bracelets

Answer:

y=3x-6

Step-by-step explanation:

(2,0). y=mx+b or 0=3 × 2+b, or solving for b: b=0-(3)(2). b=-6.

(3,3). y=mx+b or 3=3 × 3+b, or solving for b: b=3-(3)(3). b=-6.

Plugging in the two points from the graph.

Hence, y=3x-6

Answer:

The radius is equal to 6.5 feet.

Step-by-step explanation:

To solve this we need to know that circumference equals 2πr (where "r" is the radius). Therefore, we can make the following equation...

2πr = 40.82

πr = 20.41

3.14r = 20.41

r = 6.5

Now we know that the radius is equal to 6.5 feet.

Answer:

A = 846 in²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals ) , then

A = [tex]\frac{1}{2}[/tex] × 36 × 47 = 18 × 47 = 846 in²

Answer:

846

Step-by-step explanation:

area of a rhombus is [tex]\frac{pq}{2}[/tex]  where p and q are the two diagonals ..

so [tex]A=\frac{36*47}{2}[/tex]

A=846

If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions. Use the sign of each side of your inequality to decide which of these cases holds. If the number on the other side of the inequality sign is positive, proceed to step 3.

Answer:

Step-by-step explanation:

If those choices given (there is one missing) the false statement is the constant term is 3. It's not. -3 is the constant term.

Answer:

Step-by-step explanation:

C. the constant term is not 3

Answer:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

Step-by-step explanation:

Answer:

SA = 2(Area of Trapezoid) + 2(Area of Rectangle) + Area of Base + Area of Top

SA = 2 ( 10cm + 6cm)(7cm) + 2(16cm x 8cm) + (16cm x 10cm) + (16cm x 8cm)

                        2

SA = 112 cm2 + 256 cm2 + 160 cm2 + 128 cm2

SA = 656 cm2 wrapping paper you need

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

[tex]\mu = 225 - 240 = -15[/tex]

Sean's standard deviation is of 25, Evan's of 15. So

[tex]\sigma = \sqrt{25^2+15^2} = 29.15[/tex]

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-15)}{29.15}[/tex]

[tex]Z = 0.51[/tex]

[tex]Z = 0.51[/tex] has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}[/tex]

Step 2: Find Right-Side Limit

Step 3: Find Left-Side Limit

∴ Since  [tex]\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)[/tex]  , then  [tex]\displaystyle \lim_{x \to 5} f(x) = DNE[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

Answer:B

Step-by-step explanation:

The graph of g(x) is the graph of f(x) shifted to the left 6 units. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Consider the function f(x)= 10ˣ and the function g(x), which is shown below.

g(x)= f(x - 6) = 10⁽ˣ⁻⁶⁾

If we subtract any constant from the variable then the function gets shifted toward the left by constant units.

Similarly, 6 is subtracted from the variable then the function gets shifted toward the left by 6 units.

More about the function link is given below.

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