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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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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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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: 2.35619

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

Answer:

none

Step-by-step explanation:

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

Answer:

  f(n) = 3^(n -1)

Step-by-step explanation:

You want a function that describes the relation shown in the table.

The values under Steps are sequential, which makes determining the function a lot easier.

The values listed under Black Triangles don't have a common difference, but they do have a common ratio:

  r = 3/1 = 9/3 = 27/9 = 3

For this function, we'll use 'n' as the independent variable (the number of steps), and we'll call the function 'f'.

For common ratio r and a pair of table values (n, f(n)) = (a, b), the exponential function can be written as ...

  f(n) = b·r^(n -a)

With r=3 and (a, b) = (1, 1), this becomes ...

  f(n) = 1·3^(n -1)

The multiplier 1 isn't really needed, so we can use ...

  f(n) = 3^(n -1)

Answer:

80%

Step-by-step explanation:

After all the trade he got 50 stickers

40 Big

10 small

50 stickers is 100%

40B stickers is ??

WE multiply 40 by 100 then divide by 50

so 80%

Answer:

5y= -3x +15

Step-by-step explanation:

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

Answer:

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

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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The approximate height of the pole in centimeters is 17,500 centimeters.

We have,

Let's start by calculating the total length of the pole, which is buried plus the part that protrudes from the ground.

We know that the part that protrudes is 25 meters and that it represents one-seventh of the total length.

25 = L/7

where L is the total length of the pole.

We can solve for L by multiplying both sides of the equation by 7:

L = 7 x 25

  = 175 meters

Now we need to convert this length to centimeters.

Since 1 meter is equal to 100 centimeters,

175 meters x 100

= 17,500 centimeters

Therefore,

The approximate height of the pole in centimeters is 17,500 centimeters.

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The complete question.

The Clarisse company, dedicated to the telephone business, is expanding its coverage, due to this, it is placing poles, where the seventh part of a pole is buried, and protrudes 25 meters from the ground. Calculate the approximate height of the pole in centimeters.

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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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 value of variable θ would be,

⇒  θ = 5π/3 and θ = 4π/3

We have to given that;

Expression is,

⇒ - 10sin θ - 8 = 5√3 - 8

Now, We can simplify as;

⇒ - 10sin θ - 8 = 5√3 - 8

⇒ - 10sin θ = 5√3

⇒ sin θ = - 5√3/10

⇒ sin θ = - √3/2

We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).

However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.

Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.

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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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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: 1085

Step-by-step explanation:

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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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:Transpolar Drift Stream y el anticiclónico Beaufort Gyre

Step-by-step explanation:

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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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:

Step-by-step explanation:

V≈448.92in³

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

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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Answer:

B always because a rectangle has two sets of parallel sides

Hope this helps

Answer:

p

Step-by-step explanation:

ok so first u take away the underlined letter and give and carry sorry the first one

Answer:

Sure, here are the answers to your questions:

**A) The value of $f(-5)$ is $-2$.**

To find the value of $f(-5)$, we can simply substitute $x=-5$ into the equation $f(x)=-2x^2-8x+14$. This gives us:

$$f(-5)=-2(-5)^2-8(-5)+14=-2(25)+40+14=-50+54=4$$

**B) The vertex of the parabola is $(2,6)$.**

To find the vertex of the parabola, we can complete the square. This involves adding and subtracting $\left(\dfrac{{b}}{2}\right)^2$ to both sides of the equation, where $b$ is the coefficient of the $x$ term. In this case, $b=-8$, so we have:

$$\begin{aligned}f(x)&=-2x^2-8x+14\\\\ f(x)+20&=-2x^2-8x+14+20\\\\ f(x)+20&=-2(x^2+4x)\\\\ f(x)+20&=-2(x^2+4x+4)\\\\ f(x)+20&=-2(x+2)^2\end{aligned}$$

Now, if we subtract 20 from both sides, we get the equation of the parabola in vertex form:

$$f(x)=-2(x+2)^2-20$$

The vertex of a parabola in vertex form is always the point $(h,k)$, where $h$ is the coefficient of the $x$ term and $k$ is the constant term. In this case, $h=-2$ and $k=-20$, so the vertex of the parabola is $(-2,-20)$. We can also see this by graphing the parabola.

[Image of a parabola with vertex at (-2, -20)]

**C) The $y$-intercept is the point $(0,14)$.**

The $y$-intercept of a parabola is the point where the parabola crosses the $y$-axis. This happens when $x=0$, so we can simply substitute $x=0$ into the equation $f(x)=-2x^2-8x+14$ to find the $y$-intercept:

$$f(0)=-2(0)^2-8(0)+14=14$$

Therefore, the $y$-intercept is the point $(0,14)$.

**D) The two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.**

To find the values of $x$ that make $f(x)=0$, we can set the equation $f(x)=-2x^2-8x+14$ equal to zero and solve for $x$. This gives us:

$$-2x^2-8x+14=0$$

We can factor the left-hand side of the equation as follows:

$$-2(x-2)(x-3)=0$$

This means that either $x-2=0$ or $x-3=0$. Solving for $x$ in each case gives us the following values:

$$x=2\text{ or }x=3$$

However, we need to round our answers to two decimal places. To do this, we can use the calculator. Rounding $x=2$ and $x=3$ to two decimal places gives us the following values:

$$x=2.5\text{ and }x=-3.5$$

Therefore, the two values of $x$ that make $f(x)=0$ are $2.5$ and $-3.5$.

x² + 5x + 3 = 0, the quadratic equation has two distinct real roots

2x² - 2x + 1 = 0, no real roots. Instead, it has two complex conjugate roots.

x² + 5x + 3 = 0

To determine the nature of the roots of this quadratic equation, we need to calculate the discriminant using the formula:

Discriminant = b² - 4ac

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = 1, b = 5, and c = 3.

Discriminant = (5)² - 4(1)(3)

= 25 - 12

= 13

Since the discriminant is positive and not a perfect square, the quadratic equation has two distinct real roots

Now 2x² - 2x + 1 = 0

a = 2, b = -2, and c = 1

Plugging these values into the discriminant formula, we get:

b²  - 4ac = (-2)²  - 4(2)(1) = 4 - 8 = -4

Since the discriminant is negative, the quadratic equation 2x² -2x+1=0 has no real roots.

Instead, it has two complex conjugate roots.

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