To the nearest hundredth, what is the length of the diagonal of the prism

Answers

Answer 1

Answer:

theres nothing there

Step-by-step explanation:


Related Questions

fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=​

Answers

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Given f(x) = x³ - 6x + k, and the remainder when f(x) is divided by x - 1 is 14, then what is the value of k?

Answers

Answer: 19

Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).

Hope this helps!

Given f(x) = x - 6x + k, and the remainder when f(x) is divided by x - 1 is 14, then what is the value

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point. 18 + 3x = 24 + 2x What does x represent? the total cost to fill the rectangular bird feeder after any number of weeks the total cost to fill the cylindrical bird feeder after any number of weeks the number of weeks the bird feeders are filled the number of bird feeders purchased each week

Answers

Answer:

the number of weeks the bird feeders are filled

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just took the review

Could you guys answer this for me by 12am!

Could you guys answer this for me by 12am!

Answers

Answer:

-3

Step-by-step explanation:

Slope is y2 - y1 / x1 - x2.

So, let's take two random points; I have chosen (0, 3) and (2, -3).

Excellent. Let's calculate the slope.

Slope = (-3 - 3) / (2 - 0) = -6 / 2 = -3.

Hope this helps!

What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.
b = –6
B.b = –9
C.b = 6
D.b = 9

Answers

Answer:  -6 and 6

Step-by-step explanation:  

Possible factors that could produce 3x² + 6x +3 are  (x + 1)(3x + 3)

the solution for values of x: x+1=0, x= -1  3x+3=0,  3x= -3 . x= -1 . Same.

Possible factors that could produce 3x² - 6x +3 are  (x - 1)(3x - 3)

the solution for values of x: x-1=0, x= 1  3x-3=0,  3x= 3 . x= 1 . Same.

From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.

The equations with -6 and +6 each touch the x-axis at only one point each.

What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.b = 6B.b

a drawer contains 8 blue socks and 8 black socks. it is dark and you cannot tell the difference between colors

Answers

Answer:

yes

Step-by-step explanation:

i will trun on the light and see what color the socks are

please write complete question

Olga is using spherical beads to create a border on a picture frame. Each bead has a diameter of 1.5 millimeters. Find the volume of each bead. Round to the nearest tenth.

Answers

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Suppose that a firm produces 275,000 units a year and sells them all for $8 each. The explicit costs of production are $1,800,000 and the implicit costs of production are $400,000. The firm earns an accounting profit of

Answers

The firm's accounting profit earnings as required to be determined in the task content is; $0.

What is the firm's accounting profit earnings?

As evident in the task content, the firm produces 275,000 units a year and sells them all for $8 each.

Therefore, the total revenue generated from sales is; 275,000 × $8 = $2,200,000.

Hence, since the total cost is the sum of $1,800,000 and $400,000 which is; $400,000 + $1,800,000 = $2,200,000.

Ultimately, the total accounting profit earned is; Revenue generated - Expenses = $2,200,000 - $2,200,000 = $0.

Therefore, the total accounting profit earned is; $0.

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Which set of statements explains how to plot a point at the location N (23.-2) ? 1 O Start at the origin. Move 37 units right because the x-coordinate is units right because the x-coordinate is –3.-3. 5 is between 3 and 4. Move 2 units down because the y-coordinate is -2. 1. O Start at the origin. Move 3ā units down because the x-coordinate is -3.7. - 3 is between -3 and 4. Move 2 units left because the y-coordinate is -2. O Start at the origin. Move 3ā units down because the x-coordinate is -33.-3is between -3 and 4. Move 2 units 1 right because the y-coordinate is -2. O Start at the origin. Move 3ā units left because the x-coordinate is -3.3 is between -3 and -4. Move 2 units down because the y-coordinate is -2.​

Answers

Answer:

Start at the orgin and move 23 points to the right. Next move two points down.

Step-by-step explanation:

The ordered pair is in the form (x,y)

the x-term means left or right. Left is negative and right is positive.

The y-term means up or down. Positive is up and negative is down.

pls answer the top one need a naswer fast

pls answer the top one need a naswer fast

Answers

The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

what is a polynomial?

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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pleas

HELP IMMEDIATELY

pleasHELP IMMEDIATELY

Answers

Answer:

144ft^3

Step-by-step explanation:

To start, we have your formula: \(V=\frac{1}{2} (bh) (l)\)
b = base length of the triangle.
h = height of the triangle.
l = length of the prism

Fill in for each of those values:
\(V = \frac{1}{2} (6x6)(8)\)

\(V=\frac{1}{2} (36)(8)\)

\(V=(18)(8)\)

\(V=144\)

Your answer, because it is a 3D shape, should be cubed, so:
\(V=144ft^{3}\)

A line through (-4,6) with slope-3/2 and graph

Answers

Answer:

\(y = -\frac{3}{2}x\)

Step-by-step explanation:

Given

Passes through: (-4,6)

Slope: -3/2

Required

The equation and graph

The equation is calculated as:

\(y = m(x - x_1) + y_1\)

Where

\(m = -\frac{3}{2}\)

\((x_1,y_1) = (-4,6)\)

So, we have:

\(y = -\frac{3}{2}(x --4) + 6\)

\(y = -\frac{3}{2}(x +4) + 6\)

Open bracket

\(y = -\frac{3}{2}x -6 + 6\)

\(y = -\frac{3}{2}x\)

See attachment for graph

A line through (-4,6) with slope-3/2 and graph

Which of the following is true for the function f(x)=2cos(x2)

a. The period is π


b. The period is π2


c. The period is 2π

d. The period is 4π

e. The period is 2

Answers

Answer:

c. The period is 2π

Step-by-step explanation:

The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.

For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.

This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)

5x−13x≥16 what’s the answer

Answers

x ≤ -2

Step-by-step explanation:

\(\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}\)

A cylinder has a base diameter of 16 feet and a height of 4 feet.

Answers

Answer:

Step-by-step explanation:

radius = 16/2 = 8

Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter

Answer:

268 cubic feet

Step-by-step explanation:

=PI 8^2 (3/4)

Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z = y2 x = 0 x = 1 y = − 1 y =1

Answers

Answer:

The volume of the region V = 2

Step-by-step explanation:

Given that:

\(z_1 = 3y^2\) ;

where initially;

\(z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1\)

The volume of the region is given by a triple which is expressed as:

\(V = \int_x \int_y \int_z \ dz \ dy \ dx\)

\(V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx\)

\(V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx\)

\(V =2 \Bigg [x \Bigg] ^1_0\)

V = 2

Thus, the volume of the region is 2

URGENT NEED HELP CLICK TO SEE

URGENT NEED HELP CLICK TO SEE

Answers

Answer:

4.20

Step-by-step explanation:

First find the total cost of the nametags

105 * .12

12.60

Then divide by the 3 teachers

12.60/3 =4.20

Each teacher will pay 4.20

Which one of these formulas describes the following sequence?

1,5,12,22,35

Answers

We can find a formula for nth term of the given sequence as follows:

1, 5, 12, 22, 35

The 1st differences between terms:

4, 7, 10, 13

The 2nd differences :

3, 3, 3

Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: \(a n^2 + b n + c\), where c is a constant. The coefficients a, b, and the constant c can be found.

We can form the following 3 equations with 3 unknowns a, b, c:

\(1 = a\cdot1^2 + b\cdot1 + c\\5 = \cdot2^2 + b\cdot2 + c\\12 = a\cdot3^2 + b\cdot3 + c\)

Solving for a, b, c, we get:

a = 3/2, b = -1/2, c = 0

Therefore, the nth term of the given sequence is:

\(\boxed{ a_n = \dfrac{3}{2}n^2- \dfrac{1}{2} n}\)

3) Five years after I bought a car, it was worth $7415. The car's depreciation rate is 18% per year. To the nearest dollar, how much did I buy the car for? (Use*A_t= A_0 (1 - r) ^ t)

Convert #4 to exponents and #5 to logs.
Use basic props to simplify #6. Use COB to round #7 to 4 decimal places. Show your setup.

Answers

The car was originally bought for about $19987

How much did I buy the car for?

From the question, we have the following parameters that can be used in our computation:

Rate = 18% depreciation

Value after 5 years = $7415

Let's start by assuming that the original value of the car was A0 dollars.

Using the above as a guide, we have the following:

A(t) = A(0) * (1 - r)^t

So, we have

A(0) * (1 - 18%)^5 = 7415

Evaluate

A(0) * 0.371 = 7415

Divide

A(0) = 19987

Hence, the original value of the car is $19987

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Consider the equation below. − 5 ⁢ n + 31 = − 14 ⁢ n − 5 Select the equation that has the same solution. − 1 − 22 ⁢ n = − 20 ⁢ n − 9 1 = 0.75 ⁢ n + 3.25 3 − 6 ⁢ n + 3 ⁢ n = − 3 + 4 − 4 ⁢ n

Answers

Answer: The equation that has the same solution as the given equation is −1 − 22 ⁢ n = −20 ⁢ n − 9. This can be seen by solving both equations for n.

To solve the given equation − 5 ⁢ n + 31 = − 14 ⁢ n − 5 for n, we can start by adding 5n to both sides to obtain 31 = − 9 ⁢ n − 5. Then, we can add 9n and 5 to both sides to obtain n = −1.

To solve the equation −1 − 22 ⁢ n = −20 ⁢ n − 9 for n, we can start by adding 22n to both sides to obtain −1 = −20 ⁢ n − 9. Then, we can add 20n and 9 to both sides to obtain n = −1.

Since both equations have the same solution for n (namely, n = −1), they have the same solution. Note that the other equations listed in the question do not have the same solution as the given equation. For example, the equation 1 = 0.75 ⁢ n + 3.25 has the solution n = −4, while the equation 3 − 6 ⁢ n + 3 ⁢ n = − 3 + 4 − 4 ⁢ n has the solution n = 1/5. These solutions are different from the solution n = −1 of the given equation, so these equations do not have the same solution as the given equation.

Answer:

11/4n+2=-3+ 3/2n

Step-by-step explanation:

Use the distributive property to write an expression that is equivalent to 8(7+x).

Use the distributive property to write an expression that is equivalent to 8(7+x).

Answers

Answer:

56+8x

Step-by-step explanation:

Answer: 56 + 8x

Explanation: Multiply the 8 by the 7, then the 8 by the x. (8)(7) + (8)(x) Therefore the answer is 56 + 8x. This is called distributive property

Hope this helps! :)

How many 3/16-yard pies can be cut from 3/4 yard of ribbion?

Answers

The number of 3 / 16 yards pieces that can be cut from 3 / 4 yard of ribbon is 4.

How to find how many pieces of ribbon that can be cut?

The actual length of the ribbon is 3 / 4 yards.

He wants to cut 3 / 16 yards pieces from the actual length of the ribbon.

Therefore, the number of 3 / 16 yard that can be cut from 3 / 4 yard of ribbon can be calculated as follows;

number of pieces of ribbon = 3 / 4 ÷ 3 / 16

number of pieces of ribbon = 3 / 4 × 16 / 3

number of pieces of ribbon =  48 / 12

Therefore,

number of pieces of ribbon =  4 yards

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Evaluate the double integral ∬R(3x−y)dA, where R is the region in the first quadrant enclosed by the circle x2+y2=16 and the lines x=0 and y=x, by changing to polar coordinates.

Answers

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

What equation best represents the line on the given graph?

What equation best represents the line on the given graph?

Answers

\(\begin{gathered} \text{The equation of the line is ;} \\ y\text{ =}-2x\text{ + 4} \end{gathered}\)

Here, we want to get the equation that best represents the line on the graph

Generally, the equation of a straight line can be represented as;

\(y\text{ = mx + b}\)

where m is the slope and b is the y-intercept

The y-intercept is the point at which the line touches the y-axis

From the graph, the point is at y = 4

So the partial equation is;

\(y\text{ = mx + 4}\)

To write the full equation, we need the value of m which is the slope

To get this, we need a point on the graph

We can identify the point (2,0)

So in this case, we substitute 2 for x and 0 for y

Doing this, we have;

\(\begin{gathered} 0\text{ = 2(m) + 4} \\ \\ 2m\text{ = -4} \\ \\ m\text{ = }\frac{-4}{2} \\ m\text{ = -2} \end{gathered}\)

So the equation of the line is;

\(y\text{ = -2x + 4}\)

Twenty air-conditioning units have been brought in for service. Twelve of them have broken compressors, and eight have broken fans. Seven units are chosen at random to be worked on. What is the probability that three of them have broken fans

Answers

Answer: 0.3576

Step-by-step explanation:

Let the probability that the units that have broken fans from the seven units chosen at random be x.

The probability that three of them have broken fans will be 0.3576. Check the attachment for details

Twenty air-conditioning units have been brought in for service. Twelve of them have broken compressors,

Factor −5x2 + 10x.

PLS HURRY NEED THIS DUE TODAY

Answers

Answer:

C.  5x(-x + 2)

Step-by-step explanation:

To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.

Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.

Both terms have the common factor of 5x, so we can factor out 5x:

5x(-x + 2)

Therefore, the factored form of -5x² + 10x is -5x(x - 2).

\(\hrulefill\)

Additional notes:

If we expand the expressions in the given answer options, we get:

  A.  −5x(x + 2) = -5x² - 10x

  B.  5(−x² + 10x) = -5x² + 50x

  C.  5x(−x + 2) = -5x² + 10x

  D.  x(5x + 10) = 5x² + 10x

Hence confirming that the correct answer is option C.

SOLUTION:

To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):

\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)

We can check our answer by distributing \(-5x\) to the expression inside the parentheses:

\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)

\(\therefore\) The answer is \(-5x(x-2)\).

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Approximate the value of √110 for to nearest 100

Answers

Step-by-step explanation:

√110 = 10.488

You can round that to 10.49

Hope this helps!

Luis, Carlo, and Ken bought movie
tickets. Each ticket cost the same
amount. The 3 tickets cost $21. How
much did Carlo pay for his ticket?
Use a model to justify your answer.

Luis, Carlo, and Ken bought movietickets. Each ticket cost the sameamount. The 3 tickets cost $21. Howmuch

Answers

3x=21
21/3 = 7
Carlo paid $7 for his ticket

Use the following information to answer the next question. In the process, what is the total distance that Jeremy covers?Use the following information to answer the next question.



In the process, what is the total distance that Jeremy covers?

Answers

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

HELP NEEDED ASAP

2. Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1

a) Graph the five key points of Parent function on the provided grid. [1mark]

b) State the following for the transformed function [2marks]
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=

c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)

Answers

The five key points of the parent function are:

Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)

The five key points of the parent function

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)

The transformed function

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

A represents the amplitudePeriod = 2π/BC represents horizontal phase shift

Using the above representations, we have:

Amplitude = -2Period = 2π/2 = πHorizontal phase shift, C = 2 * -45 = -90Equation of the axis, y = 1

The graph of the function

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

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HELP NEEDED ASAP 2. Consider the following transformed functiony = 2 Sin [2( 45)] + 1a) Graph the five
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Help me ! Image below use the distributive property to find the quotient 628/2 Which of the following was a 20th-century proponent of expressivism?Group of answer choicesMillCalvinAyerDennett CanI please have help with Part FIn fitting a least squares line to n=7 data points, the quantities in the table to the right were computed. Complete parts a through f. a. Find the least squares line. y=-3.279 +0.897 x (Round to thre A support cable for a 56-foot tower forms a 67 angle with the ground.What is the length of the cable to the nearest foot?56 ft.61 ft.60 ft.75 ft. Which of the main components of money management involves creating a plan for spending and saving during particular time periods, such as a year, month, or week?A. financial recordsB. personal financial statementsC. budgetingD. filing taxes What new route did explore Christopher Columbus follow in the 1492 rhe criterion that requires people to be so incapacitated by a mental disorder that they can't care for their basic needs for food, clothing, and shelter is the ________ criterion. If quarterly income return is 2.3% and quarterly capital returnis 0.5%, calculate the Annual Total Return of the investment. OThe speed of light inside a medium is (2.0x108m/s). What is the index of refraction (n) of the medium? Write inequalities to represent the situations below.To ride a roller coaster, a visitor must be taller than 60 inches.Use h to represent the height (in inches) of a visitor able to ride.To get the 10% discount, a shopper must spend no less than $100.Use d to represent the spending (in dollars) of a shopper who gets the discount. A spinner is spun 400 times.The probabilities it lands on each colour are shown below.The probability it lands on red is the same as the probability it lands on yellow.Colour Red Green Brown YellowProbability 0.14 0.4 How many times would you expect it to land on each colour? 4. Imagine that you wake up and are eating breakfast. You suddenly realize that you have a test today,and you forgot to study for it. You begin to feel nervous and afraid, and you call a friend to ask if theyhave studied for the same test. You learn that the test is not today, but next week, and you begin to feelmuch calmer, and much happier.i. For this scenario, describe the role of your central nervous system, and each portion of yourperipheral nervous system, including the somatic and autonomic portions. What is the rhetorical purpose of the check metaphor in the I Have a Dream speech? which statement best describes the effect of tone on the reader. A. the tone helps the reader learn details about an author's background. B. the tone helps the reader make an informed decision about a subject. C. the tone helps the reader interpret the structural plot path of a text. D. the tone helps the reader interpret an author's attitude on a subject. The sky of early Earth was probably pinkish-orange. As life became established, the sky turned blue. What was responsible for the color change? T/F: Relational databases can run on many platforms, including personal computers research suggests that you can eliminate random risk by holding ____ or more stocks and bonds. consider the expression 3 * 2 ^ 2 < 16 5 andalso 100 / 10 * 2 > 15 - 3. which operation is performed first? A researcher is comparing sugar molecules that a cell takes in with amino acid molecules that the cell produces. Highlight all the statements that are true about amino acids but not true about sugars,Always contain carbon3. an input in glycolysisC.typically contain nitrogenD. can be used as an energy sourceE can bond together to form proteins