How to write expression as a decimal…Ten and twelve hundredths

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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The domain of a function is the set of input values or values of x that satisfies the function

The expression has an even root. To find the domain, we would exclude values that would make the radicand to be negative. Looking at the expression, the term in the radicand is

x + 3

We would express it as an inequality as shown below

From our working, values of x greater than or equal to - 3 would make the value in the square root to be positive. This forms the domain of the function. All numbers lesser than - 3 must be excluded from the domain because they would give a negative value inside the square root. Thus, the domain includes all values greater than - 3

The graph of the function is shown below

From the graph, the domain is between the lowest value of x on the left and the highest value of x on the right

We can see that the lowest value of x on the left is - 3

the highest value of x on the right is infinity(all values greater than - 3)

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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The equation that should be used to determine the time at which the height of the projectile reaches 20 ​ft is

t = {60 ± √(3600 - 1280)}/32

Given is that a projectile is launched vertically upward from the ground with an initial velocity of 60 ft per​ sec, then neglecting air​ resistance, its height s​ (in feet) above the ground t seconds after projection is given by S = - 16t² + 60t.

For the height of {S} = 20 ft, we can write the equation as -

S = - 16t² + 60t

- 16t² + 60t = 20

16t² - 60t + 20 = 0

t = {60 ± √(3600 - 1280)}/32

Therefore, the equation that should be used to determine the time at which the height of the projectile reaches 20 ​ft is

t = {60 ± √(3600 - 1280)}/32

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Answer:

Must be 2x2......

Step-by-step explanation:

.......

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer:

5

Step-by-step explanation:

its 5

Answer:

The slope is -5

The y-intercept is (0, 7)

Step-by-step explanation:

Took the test, hope this helps.

Answer:

Step-by-step explanation:

perimeter = semicircle (x2) + parallelogram side (x2)

                = 1/2 π 12 (x2) + 15 (x2)

               = 37.7 + 30

               = 67.7

Answer: 3/12  3 blues and 12 colors in total i dont know how to explain sorry

Answer:

Hills, mountains and rivers are example of ------------------ features

Answer:

The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.

To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)

64 oz / 32 oz/quart = 2 quarts

Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer

So the total amount of water she needs is 2*34 = 68 quarts

To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)

68 quarts * 32 oz/quart = 2176 oz of water.

So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.

maybe we could answer if there waas a pic=]

Answer:

the 4.49 ones.

Step-by-step explanation:

11.57 divided by 8 would result in each pen costing 1.44$ per pen. Meanwhile, dividing 4.49 by 4 would result in each pen costing 1.12$.

Answer: The second deal is cheaper

=========================================================

Explanation:

We're looking for the unit cost, which is the cost for one item (in this case, it's the cost of one pen). To get the unit cost, divide the total cost over the number of pens.

For the first deal, we have a unit cost of 11.57/8 = 1.44625 which rounds to 1.45 dollars.

The unit cost for the second deal is 4.49/4 = 1.1225 which rounds to 1.12 dollars. The second deal is the cheaper option due to 1.12 being smaller than 1.45

Answer:

120

Step-by-step explanation:

There are 4 bags and each bag has 30. You would take 30 and multiply it by 4 to get your final answer

Answer:

a = 0

Step-by-step explanation:

p(x) = ax²+x+1

Let x+1 = 0 => x = -1

Putting in the above polynomial

=> p(-1) = a(-1)^2+(-1)+1

By Remainder Theorem, Remainder will be zero

=> 0 = a(1) -1+1

=> 0 = a

OR

=> a = 0

Answer:

Step-by-step explanation:

Factors are what we can multiply to get the number.

x² + x + 1

Factor the polynomial.

x(x+1) + 1

ax² + x = x(x + 1)

ax² + x = x² + x

\(a=\frac{x^2 +x}{x^2 +x}\)

a = 1

Answer: 11 and 6

Step-by-step explanation:

l=w+5,

A=2p-2

If L=11,

L-5=w, w=6

11+6+11+6 (2l+2w)=34

34x2=68

A=66,

68-66=2!

Answer:

Emilio could estimate the answer by thinkinng of 50 as 100. Then 2/3 of 100 is 66.66666666. Divide this by 2 to get 33.33333333

Step-by-step explanation:

Hopefully this helps! I kind of just thought of what ran through my head so I would say it's an estimate.

Based on the probability of rain in Nevada, the probability that it will not rain is 0.7.

The probability that if it does not rain, the school bus will be on time is 0.85.

The probability that it will rain and the school bus will still be on time is 0.6.

The probability that it will not rain in Nevada can be found by the formula:

= 1 - probability of rain in Nevada

= 1 - 0.3

= 0.7

The probability that if it does not rain, the school bus will be on time is:

= 1 - probability of the school bus being late if it does not rain

= 1 - 0.15

= 0.85

The probability that it will rain and the school bus will still be on time is:

= 1 - probability of the school bus being late if it rains

= 1 - 0.4

= 0.6

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Answer:

your answer will be option C

Step-by-step explanation:

hope it helps

have a nice day/ night ^_^

Answer:

Range: {y | y ≥ 1} (the third option)

Domain: {x | x ≥ -4}

Hope you have a great day/night!!

For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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Answer:

40 is the answer . is it right or Not?

Answer:

-10

Step-by-step explanation:

40 - 2x [(8 x 3 + 6) + 12 -2

Using BODMAS meaning Bracket Of Division Multiplication Addition and Subtract

Solve Bracket first multiplying first inside the bracket then add your result

40 - 2x [(8 x 3 + 6) + 12 -2

40 - 2x [(24 + 6) + 12 -2

40 - 2x(30) + 12 -2

Multiple

40 - 60+12-2

-10

Answer:

Im going to steal all of ur points

Step-by-step explanation:

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

what is  expression ?

In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.

In the given question,

We can use the trigonometric identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b) to simplify cos(x - y), and cos(a + b) = cos(a)cos(b) - sin(a)sin(b) to simplify cos(x + y).

cos(x - y) = cos(x)cos(y) + sin(x)sin(y)

cos(x + y) = cos(x)cos(y) - sin(x)sin(y)

Therefore,

cos(x - y) - cos(x + y) = (cos(x)cos(y) + sin(x)sin(y)) - (cos(x)cos(y) - sin(x)sin(y))

= cos(x)cos(y) + sin(x)sin(y) - cos(x)cos(y) + sin(x)sin(y)

= 2sin(x)sin(y)

So, the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

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simplify the expressions  cos(x − y) − cos(x + y) ?

Answer:

24.6 degrees.

Step-by-step explanation:

To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.

sin(θ) = opposite/hypotenuse

sin(θ) = 3/7

Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.

θ = sin^-1(3/7)

θ ≈ 0.429 radians

To find the degree measure, we must convert radians to degrees by multiplying by 180/π.

θ ≈ 0.429 x 180/π

θ ≈ 24.6 degrees

Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.

The requried graph with the x-axis labeled a number of side dishes and the y-axis labeled cost in dollars and a line going from point [0,5.25] through point [3, 9.75]. Option C is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of the given relation in the table, using any two of the ordered pair,
m = 11.25 - 8.25 / 4 - 2
m = 3/2
m = 1.5

Now calculate the slope in each option, the slope of any option matches with m = 1.5 then that will be the required graph, so the slope of the graph mentioned in option C matches with m = 1.5.

Thus, Option C is the required answer.

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