Select the correct answer.
What is the simplest form of this expression?
(2x-3)(3x²+2x-1)
O A 6x³-5x²²-8x+3
OB. 6x³-5x² - 6x + 2
OC. 6x³-9x² - 4x +3
OD. 6x³-2²-8x+3

Answer:

B always because a rectangle has two sets of parallel sides

Hope this helps

The number of malaria cases in 2017 is 2700.

Let the dependent variable, y is malaria cases in thousands and the independent variable, x is the year.

Here, x is the number of years starting in the year 2000.

The required model is obtained as [tex]y = 299e^{0.1295x}[/tex]

Now, the predicted number of malaria cases in the year 2017, that is, x = 17 years can be computed as,

[tex]y = 299e^{0.1295(17)}\\\\= 299(9.020\\\\= 2700[/tex]

Hence, the number of malaria cases in 2017 is 2700.

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It will take approximately 4 years for the amount in Dillon's bank account to grow to $2,000.

We use the formula for simple interest to solve this problem;

I = P × r × t

where;

I = the interest earned

P = the initial principal (balance) = $1,766

r = the interest rate (as a decimal) = 3.2% = 0.032

t = the time (in years) we need to find

We know that the interest earned is the difference between the final amount (balance + interest) and the initial principal (balance), so we can write;

Interest = Final Amount - Initial Principal

Plugging in the values, we get;

I = $2,000 - $1,766

I = $234

Now we can substitute the values of I, P, and r into the simple interest formula and solve for t;

234 = 1766 × 0.032 × t

Dividing both sides of the equation by (1766 * 0.032) to isolate t:

t = 234 / (1766 × 0.032)

t ≈ 4.19

So, it will take approximately 4.19 years for the amount in Dillon's bank account to grow to $2,000. Since time cannot be in decimal years, we round to the nearest whole year:

t ≈ 4

Therefore, it will take 4 years for the amount in Dillon's bank account to grow to $2,000.

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The value of f (-1) by virtue of the given absolute value function graph as required is; 8.

It follows from the task content that the value of the function instance; f (-1) is required to be determined.

On this note, the value of the function instance can be determined as the point of intersection of the line; x = -1 with the given graph.

Ultimately, the value of the instance f (-1) is; 8.

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The sine of angle B is obtained dividing the length of the opposite side to angle B by the length of the hypotenuse.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined on the bullet points below:

The problem is incomplete, hence the general procedure to obtain the sine of angle B is presented.

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The solution and graph of each of the inequalities is shown below:

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Next, we would determine the solution for each of the inequalities as follows;

k + 7 ≥ 11

k ≥ 11 - 7

k ≥ 4

5 > v - 12

5 + 12 > v

17 > v

v < 17 (flip).

-5x ≤ -30

x ≤ 6

y/4 > 2

y > 2(4)

y > 8

10g + 19 > 49

10g > 49 - 19

10g > 39

g > 3.9

-w - 7 > 0

-w > 7

w > -7

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Matching of the statements with their respective linear equations are:

1) The line contains (0, -8) and a slope of 3/2: y = ³/₂x - 8

2) A line that contains the point (0, -2) and (4, 0): 2y - x = -4

3) y-intercept is (0, -2) and slope is -3/4: y = -³/₄x - 2

4) A line that has a slope of 5/3 and a y-intercept of -4: 5x + 3y = -12

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

1) The line contains (0, -8) and a slope of 3/2

The only option that even has a slope of 3/2 is option B with the equation: y = ³/₂x - 8

2) A line that contains the point (0, -2) and (4, 0)

The only one that fits this is option C with the equation:

2y - x = -4

3) y-intercept is (0, -2) and slope is -3/4.

This means the only equation that matches it is:

y = -³/₄x - 2

4) A line that has a slope of 5/3 and a y-intercept of -4.

This means the only equation that matches it is:

5x + 3y = -12

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Answer: I think its 1500x

Step-by-step explanation: I multiplied them both.

Hope it helped :D

Answer:

1500000000000

Step-by-step explanation:

i don't know how but the answer is pretty easy but I don't feel like it so yeah there's

11 zero s

Answer: 1085

Step-by-step explanation:

Answer:

[tex]8n=32[/tex]

Step-by-step explanation:

Muriel's algebraic expression for the phrase "the product of a number and 8" would be 8n, where n represents the number. When n = 4, the value of 8n would be 8 times 4, which is 32. Therefore, the correct expression and value is 8n = 32 when n = 4.

Answer:

8n=32

Step-by-step explanation:

got it right on homework

Answer:

Let's denote the two legs of the right triangle as a and b, and the hypotenuse as c. We know that c = √41, so we can use the Pythagorean theorem to relate a and b to c:

c^2 = a^2 + b^2

Substituting c = √41, we get:

(√41)^2 = a^2 + b^2

41 = a^2 + b^2

We also know that the perimeter of the triangle is:

perimeter = a + b + c = 9 + √41

Substituting c = √41, we get:

a + b + √41 = 9 + √41

a + b = 9

Now we have two equations with two unknowns (a and b):

a^2 + b^2 = 41

a + b = 9

We can solve this system of equations by substitution. Solving the second equation for a, we get:

a = 9 - b

Substituting this into the first equation, we get:

(9 - b)^2 + b^2 = 41

81 - 18b + 2b^2 = 41

2b^2 - 18b + 40 = 0

b^2 - 9b + 20 = 0

(b - 4)(b - 5) = 0

So we have two possible solutions: b = 4 and b = 5. We can find the corresponding value of a using a = 9 - b:

a = 5 and b = 4 or a = 4 and b = 5

Therefore, the two legs of the right triangle are 4 and 5.

Step-by-step explanation:

First group of five    total score   =    5 * 6.5 = 32.5

Group of fifteen total score         =   15 * 4.5 = 67.5

total score of  20    is    67.5 + 32.5 = 100

Average =  100 /20 = 5.0

Answer:

To find out how many 1 1/2 foot boards can be cut from a 12 foot long board, we need to divide the length of the board by the length of each board.

First, we need to convert 1 1/2 feet to an improper fraction.

1 1/2 = (2 x 1 + 1) / 2 = 3/2

So, each board is 3/2 feet long.

Next, we divide the length of the 12 foot long board by the length of each board:

12 / (3/2) = 12 x 2/3 = 24/3 = 8

Therefore, 8 boards of length 1 1/2 feet can be cut from a 12 foot long board.

Step-by-step explanation:

Answer: The box goes from Q1 to Q3, with the middle spoken to by a line interior the box at Q2. The bristles expand from the box to the least and most extreme values. There's one exception, spoken to by an bullet (*), at the esteem of 90.

Step-by-step explanation: box and whisker plot:

|

90 ---| *

84 ---|

83 ---|

80 ---|_____

79 ---| |_____

| | |

76 ---| | |

| | |

72 ---|_____| |

71 ---| |

70 ---|___________|

66 75

Answer:

none

Step-by-step explanation:

None, 106 is from the numbers being added and it is a right angle

The  algebraic expression represents loga 75 is st²

An algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

The statement reads:

loga 2=r,

loga 3=s, and

loga 5=t

Log 75 Log(3*5*5)

That log3*log5*log5

= s*t*t = st²

Therefore the expression is st²

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The dimension of the rectangle is 50 meters by 10 meters

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle [tex]= 2(\text{l}+\text{w})[/tex]

If the length is 40 meters longer than the width, then:

[tex]\text{l} = 40 + \text{w}[/tex]

Substitute

[tex]120 = 2(40+2\text{w})[/tex]

[tex]60 = 40 + 2\text{w}[/tex]

[tex]30 = 20+ \text{w}[/tex]

[tex]\bold{w = 10 \ meters}[/tex]

Since [tex]\text{l} =40 + \text{w}[/tex]

[tex]\text{l} =40 +10[/tex]

[tex]\bold{l=50 \ meters}[/tex]

Hence the dimension of the rectangle is 50 meters by 10 meters

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Answer:

Step-by-step explanation:

V≈448.92in³

r Radius = 4.75
V=4/3πr3=4/3·π·4.753≈448.9205in³

The mistake is when you try to divide by X - 1, because you can't divide by zero.

Here we start by defining:

X = 1

The second step makes sense, we are adding the same value in both sides:

X + X = X + 1

2X = X + 1

Now subtract 2 in both sides:

2X - 2 = X + 1 - 2

2X - 2 = X - 1

Here is the mistake, you divide both sides by X - 1

But we already defined that X = 1

Then you are trying to divide by zero, and that opeartion is not defined, that is why you reach a false equation.

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Answer:

the expected point value is -1/5, so it is not advantageous to guess.

Step-by-step explanation:

1(1/5)+(-1/2)(4/5)

1/5-2/5

-1/5

Answer:

5y= -3x +15

Step-by-step explanation:

y=mx+c is slope Intercept form where M is slope and c is Intercept

We can see that the triangle has two equal angles, then it is an isosceles triangle.

Here we have a triangle where we know that the interior angles are:

x°, 4x°, and 4x°

remember that the sum of the interior angles of any triangle is 180°, then we can write the linear equation:

x + 4x + 4x = 180

Solving that for x we will get:

9x = 180

x = 180/9

x = 30

Then the angles are:

x° = 20°

4x° = 80°

4x° = 80°

We can see that we have two equal angles, then the triangle is an isosceles triangle.

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This prompt has to do with the analysis of random outcomes. See the attached tables and graphs accordingly.

An exhaustive depiction of all possible marble combinations that may arise out of a chance experiment involving two random selections has been depicted in this table.

The table enlists five different-colored marbles available in a bag and elaborates its varying conclusions based on two distinct selections.

The columns indicate colors, whereas each result depicts two correlated choices made during an experiment's progression to illustrate randomness accurately.

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The measure of the missing dimension is 8 meters.

We are given that;

Volume= 2288 cubic meters

Height= 13meter

Length= 22meter

Now,

To find the width.

You can rearrange the formula to solve for width by dividing both sides by length and height:

Width = Volume / (length × height)

Plug in the given values:

Width = 2288 / (22 × 13)

Simplify:

Width = 2288 / 286

Width = 8

Therefore, by the given rectangular prism the answer will be 8 meters.

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Answer: 2.35619

Step-by-step explanation: Hope this helps! :)

The ratio of a:b in 5a-3b=7b is 4:5.

We know that,

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are equal to each other. For example, if there are 2 boys and 6 girls, you can write the ratio as: 1 : 3 (for every boy there are 3 girls).

Ratios compare two numbers obtained by dividing. If one data point (A) is compared to another data point (B), it is expressed as A/B. It means that we are partitioning information A from information B. For example, if A is five and B is 10, your ratio would be 5/10, or 1/2.

For above information,

5a - 3b =  7b

5a = 7b- 3b

5a= 4b

So, a/b= 4/5

a:b  is 4:5

Thus, the ratio of a:b in 5a-3b=7b is 4:5.

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Answer:Transpolar Drift Stream y el anticiclónico Beaufort Gyre

Step-by-step explanation:

Answer:

Since f is increasing over its domain, we know that if a > b, then f(a) > f(b). Therefore, we have:

2x + 3 > 3x - 2

Solving for x, we get:

x < 5

So the solution set is:

Df = [3, infinity) intersect (-infinity, 5) = [3, 5)

Therefore, the inequality is true for all x in the interval [3, 5).

Since f is increasing over its domain, we know that if a > b, then f(a) > f(b). Therefore, we have:

x^2 - 2 < y^2 - 2

Simplifying, we get:

x^2 < y^2

Taking the square root of both sides, we get:

|x| < |y|

So the solution set is:

Df = [3, infinity)

|x| < |y| means that either x < y or -x < y. Therefore, the solution set can be divided into two parts:

Part 1: x^2 - 2 < 0, i.e., x is in the interval (-sqrt(2), sqrt(2)). For this part, we have:

Df intersect (-sqrt(2), sqrt(2)) = empty set

Part 2: x^2 - 2 >= 0, i.e., x is outside the interval (-sqrt(2), sqrt(2)). For this part, we have:

Df intersect (-infinity, -sqrt(2)] union [sqrt(2), infinity) = [3, infinity)

Therefore, the inequality is true for all x in the interval [3, infinity) except for the interval (-sqrt(2), sqrt(2)).

Step-by-step explanation:

Answer:

If we are looking at 100th it is 176 if it's tens look at 7 and 9